TSTP Solution File: SCT135+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SCT135+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n009.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 13:12:34 EDT 2022
% Result : Unknown 7.39s 7.42s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SCT135+1 : TPTP v8.1.0. Released v5.2.0.
% 0.04/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jul 27 09:04:21 EDT 2022
% 0.13/0.34 % CPUTime :
% 7.33/7.36 ----- Otter 3.3f, August 2004 -----
% 7.33/7.36 The process was started by sandbox on n009.cluster.edu,
% 7.33/7.36 Wed Jul 27 09:04:21 2022
% 7.33/7.36 The command was "./otter". The process ID is 6461.
% 7.33/7.36
% 7.33/7.36 set(prolog_style_variables).
% 7.33/7.36 set(auto).
% 7.33/7.36 dependent: set(auto1).
% 7.33/7.36 dependent: set(process_input).
% 7.33/7.36 dependent: clear(print_kept).
% 7.33/7.36 dependent: clear(print_new_demod).
% 7.33/7.36 dependent: clear(print_back_demod).
% 7.33/7.36 dependent: clear(print_back_sub).
% 7.33/7.36 dependent: set(control_memory).
% 7.33/7.36 dependent: assign(max_mem, 12000).
% 7.33/7.36 dependent: assign(pick_given_ratio, 4).
% 7.33/7.36 dependent: assign(stats_level, 1).
% 7.33/7.36 dependent: assign(max_seconds, 10800).
% 7.33/7.36 clear(print_given).
% 7.33/7.36
% 7.33/7.36 formula_list(usable).
% 7.33/7.36 all A (A=A).
% 7.33/7.36 all V_g_2 V_f_2 ((all B_x (hAPP(V_f_2,B_x)=hAPP(V_g_2,B_x)))->V_f_2=V_g_2).
% 7.33/7.36 c_Arrow__Order__Mirabelle_OIIA(v_F).
% 7.33/7.36 c_Arrow__Order__Mirabelle_Ounanimity(v_F).
% 7.33/7.36 v_a____!=v_b____.
% 7.33/7.36 v_a____!=v_b_H____.
% 7.33/7.36 v_b____!=v_a_H____.
% 7.33/7.36 v_a_H____!=v_b_H____.
% 7.33/7.36 all B_i (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,B_i))<->c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_P_H____,B_i))).
% 7.33/7.36 c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf).
% 7.33/7.36 c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf).
% 7.33/7.36 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)))).
% 7.33/7.36 all V_z_2 V_L_2 V_y_2 V_x_2 (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Omkbot(V_L_2,V_z_2))<->V_y_2!=V_z_2& (V_x_2=V_z_2->V_x_2!=V_y_2)& (V_x_2!=V_z_2->c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),V_L_2))).
% 7.33/7.36 all V_z_2 V_L_2 V_y_2 V_x_2 (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Omktop(V_L_2,V_z_2))<->V_x_2!=V_z_2& (V_y_2=V_z_2->V_x_2!=V_y_2)& (V_y_2!=V_z_2->c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),V_L_2))).
% 7.33/7.36 all V_P_Ha_2 V_Pa_2 V_b_Ha_2 V_a_Ha_2 V_ba_2 V_aa_2 (V_aa_2!=V_ba_2-> (V_a_Ha_2!=V_b_Ha_2-> (V_aa_2!=V_b_Ha_2-> (V_ba_2!=V_a_Ha_2-> (c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_Pa_2,c_Arrow__Order__Mirabelle_OProf)-> (c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_P_Ha_2,c_Arrow__Order__Mirabelle_OProf)-> ((all B_i (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(V_Pa_2,B_i))<->c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_a_Ha_2,V_b_Ha_2),hAPP(V_P_Ha_2,B_i))))-> (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(v_F,V_Pa_2))->c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_a_Ha_2,V_b_Ha_2),hAPP(v_F,V_P_Ha_2)))))))))).
% 7.33/7.36 all V_y_2 V_x_2 V_R_2 T_b T_a (hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_a,T_b,V_R_2),V_x_2),V_y_2))<->c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_x_2,V_y_2),V_R_2)).
% 7.33/7.36 all T_a V_R_2 V_y_2 V_y_H_2 T_b V_x_2 V_Pa_2 (hBOOL(hAPP(V_Pa_2,V_x_2))-> (c_member(tc_prod(T_b,T_b),c_Product__Type_OPair(T_b,T_b,V_y_H_2,V_y_2),hAPP(V_R_2,V_x_2))->c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_x_2,V_y_H_2),c_Product__Type_OPair(T_a,T_b,V_x_2,V_y_2)),c_Recdef_Osame__fst(T_a,T_b,V_Pa_2,V_R_2)))).
% 7.33/7.36 all V_r_2 T_a (c_Nitpick_Orefl_H(T_a,V_r_2)<-> (all B_x c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_x),V_r_2))).
% 7.33/7.36 all T_b T_a V_Pa_2 ((all B_x1 hBOOL(hAPP(V_Pa_2,B_x1)))<-> (all B_a B_b hBOOL(hAPP(V_Pa_2,c_Product__Type_OPair(T_a,T_b,B_a,B_b))))).
% 7.33/7.36 all V_b_Ha_2 V_a_Ha_2 V_ba_2 V_aa_2 T_b T_a (c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2)=c_Product__Type_OPair(T_a,T_b,V_a_Ha_2,V_b_Ha_2)<->V_aa_2=V_a_Ha_2&V_ba_2=V_b_Ha_2).
% 7.33/7.36 all V_b_H V_a_H V_b V_a T_b T_a (c_Product__Type_OPair(T_a,T_b,V_a,V_b)=c_Product__Type_OPair(T_a,T_b,V_a_H,V_b_H)-> -(V_a=V_a_H->V_b!=V_b_H)).
% 7.33/7.36 all V_A_2 T_a V_ba_2 V_aa_2 (V_aa_2=V_ba_2-> (c_member(T_a,V_ba_2,V_A_2)->c_member(T_a,V_aa_2,V_A_2))).
% 7.33/7.36 all V_A_2 T_a V_y_2 V_x_2 (V_x_2=V_y_2-> (c_member(T_a,V_x_2,V_A_2)<->c_member(T_a,V_y_2,V_A_2))).
% 7.33/7.36 all V_x_2 T_a V_B_2 V_A_2 (V_A_2=V_B_2-> (c_member(T_a,V_x_2,V_A_2)<->c_member(T_a,V_x_2,V_B_2))).
% 7.33/7.36 all V_A_2 V_x_2 T_a (c_member(T_a,V_x_2,V_A_2)<->hBOOL(hAPP(V_A_2,V_x_2))).
% 7.33/7.36 all V_ba_2 V_aa_2 V_f1_2 T_a T_c T_b (c_Product__Type_Oprod_Oprod__rec(T_b,T_c,T_a,V_f1_2,c_Product__Type_OPair(T_b,T_c,V_aa_2,V_ba_2))=hAPP(hAPP(V_f1_2,V_aa_2),V_ba_2)).
% 7.33/7.36 all V_Fa_2 (c_Arrow__Order__Mirabelle_OIIA(V_Fa_2)<-> (all B_x (c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),B_x,c_Arrow__Order__Mirabelle_OProf)-> (all B_xa (c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),B_xa,c_Arrow__Order__Mirabelle_OProf)-> (all B_a B_b ((all B_i (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_a,B_b),hAPP(B_x,B_i))<->c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_a,B_b),hAPP(B_xa,B_i))))-> (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_a,B_b),hAPP(V_Fa_2,B_x))<->c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_a,B_b),hAPP(V_Fa_2,B_xa)))))))))).
% 7.33/7.36 all V_Fa_2 (c_Arrow__Order__Mirabelle_Ounanimity(V_Fa_2)<-> (all B_x (c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),B_x,c_Arrow__Order__Mirabelle_OProf)-> (all B_a B_b ((all B_i c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_a,B_b),hAPP(B_x,B_i)))->c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_a,B_b),hAPP(V_Fa_2,B_x))))))).
% 7.33/7.36 all V_s_2 V_r_2 V_b_Ha_2 V_a_Ha_2 V_ba_2 V_aa_2 T_b T_a (c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2),c_Product__Type_OPair(T_a,T_b,V_a_Ha_2,V_b_Ha_2)),c_Wellfounded_Olex__prod(T_a,T_b,V_r_2,V_s_2))<->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_a_Ha_2),V_r_2)|V_aa_2=V_a_Ha_2&c_member(tc_prod(T_b,T_b),c_Product__Type_OPair(T_b,T_b,V_ba_2,V_b_Ha_2),V_s_2)).
% 7.33/7.36 all V_i_2 V_Fa_2 (c_Arrow__Order__Mirabelle_Odictator(V_Fa_2,V_i_2)<-> (all B_x (c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),B_x,c_Arrow__Order__Mirabelle_OProf)->hAPP(V_Fa_2,B_x)=hAPP(B_x,V_i_2)))).
% 7.33/7.36 all V_ba_2 V_aa_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_aa_2,V_ba_2))=hAPP(hAPP(V_c_2,V_aa_2),V_ba_2)).
% 7.33/7.36 all V_a2_2 V_a1_2 V_Fa_2 V_R_2 T_b T_a (c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,V_a1_2,hAPP(hAPP(V_Fa_2,V_a2_2),V_a1_2))<-> (exists B_g (hAPP(hAPP(V_Fa_2,V_a2_2),V_a1_2)=hAPP(hAPP(V_Fa_2,B_g),V_a1_2)& (all B_z (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_z,V_a1_2),V_R_2)->c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,B_z,hAPP(B_g,B_z))))))).
% 7.33/7.36 all V_ba_2 V_aa_2 V_L_2 (c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),V_L_2,c_Arrow__Order__Mirabelle_OLin)-> (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),V_L_2)-> -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_ba_2,V_aa_2),V_L_2))).
% 7.33/7.36 all V_y_2 V_x_2 V_L_2 (c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),V_L_2,c_Arrow__Order__Mirabelle_OLin)-> (V_x_2!=V_y_2-> (-c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),V_L_2)<->c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_y_2,V_x_2),V_L_2)))).
% 7.33/7.36 all V_ba_2 V_aa_2 T_b T_a V_f_2 (hBOOL(hAPP(V_f_2,c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2)))->hBOOL(c_Product__Type_Ocurry(T_a,T_b,tc_HOL_Obool,V_f_2,V_aa_2,V_ba_2))).
% 7.33/7.36 all V_f_2 T_b V_r_2 V_aa_2 V_x_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_aa_2),V_r_2)->hAPP(c_Recdef_Ocut(T_a,T_b,V_f_2,V_r_2,V_aa_2),V_x_2)=hAPP(V_f_2,V_x_2)).
% 7.33/7.36 all V_ba_2 V_aa_2 V_f_2 T_b T_a (hBOOL(c_Product__Type_Ocurry(T_a,T_b,tc_HOL_Obool,V_f_2,V_aa_2,V_ba_2))->hBOOL(hAPP(V_f_2,c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2)))).
% 7.33/7.36 all V_ba_2 V_aa_2 V_f_2 T_b T_a (hBOOL(c_Product__Type_Ocurry(T_a,T_b,tc_HOL_Obool,V_f_2,V_aa_2,V_ba_2))->hBOOL(hAPP(V_f_2,c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2)))).
% 7.33/7.36 all V_ba_2 V_aa_2 V_f_2 T_a T_c T_b (c_Product__Type_Ocurry(T_b,T_c,T_a,V_f_2,V_aa_2,V_ba_2)=hAPP(V_f_2,c_Product__Type_OPair(T_b,T_c,V_aa_2,V_ba_2))).
% 7.33/7.36 all V_x_2 V_L_2 (c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),V_L_2,c_Arrow__Order__Mirabelle_OLin)->c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_Omktop(V_L_2,V_x_2),c_Arrow__Order__Mirabelle_OLin)).
% 7.33/7.36 all V_x_2 V_L_2 (c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),V_L_2,c_Arrow__Order__Mirabelle_OLin)->c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_Omkbot(V_L_2,V_x_2),c_Arrow__Order__Mirabelle_OLin)).
% 7.33/7.36 all T_b V_aa_2 V_x_2 T_a B_f B_R (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_aa_2),B_R)->hAPP(c_Recdef_Ocut(T_a,T_b,B_f,B_R,V_aa_2),V_x_2)=hAPP(B_f,V_x_2)).
% 7.33/7.36 all V_g_2 V_x_2 V_r_2 V_f_2 T_b T_a (c_Recdef_Ocut(T_a,T_b,V_f_2,V_r_2,V_x_2)=c_Recdef_Ocut(T_a,T_b,V_g_2,V_r_2,V_x_2)<-> (all B_y (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_y,V_x_2),V_r_2)->hAPP(V_f_2,B_y)=hAPP(V_g_2,B_y)))).
% 7.33/7.36 all V_y_2 V_x_2 V_L_2 V_ba_2 V_aa_2 (V_aa_2!=V_ba_2-> (c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),V_L_2,c_Arrow__Order__Mirabelle_OLin)-> (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Oabove(V_L_2,V_aa_2,V_ba_2))<->V_x_2!=V_y_2& (V_x_2=V_ba_2->c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_y_2),V_L_2))& (V_x_2!=V_ba_2-> (V_y_2=V_ba_2->V_x_2=V_aa_2|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_aa_2),V_L_2))& (V_y_2!=V_ba_2->c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),V_L_2)))))).
% 7.33/7.36 all V_y_2 V_x_2 V_L_2 V_ba_2 V_aa_2 (V_aa_2!=V_ba_2-> (c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),V_L_2,c_Arrow__Order__Mirabelle_OLin)-> (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Obelow(V_L_2,V_aa_2,V_ba_2))<->V_x_2!=V_y_2& (V_y_2=V_aa_2->c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_ba_2),V_L_2))& (V_y_2!=V_aa_2-> (V_x_2=V_aa_2->V_y_2=V_ba_2|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_ba_2,V_y_2),V_L_2))& (V_x_2!=V_aa_2->c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),V_L_2)))))).
% 7.33/7.36 all V_L_2 V_y_2 V_x_2 (V_x_2!=V_y_2-> (c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),V_L_2,c_Arrow__Order__Mirabelle_OLin)->c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_Oabove(V_L_2,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_OLin))).
% 7.33/7.36 all V_L_2 V_y_2 V_x_2 (V_x_2!=V_y_2-> (c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),V_L_2,c_Arrow__Order__Mirabelle_OLin)->c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_Obelow(V_L_2,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_OLin))).
% 7.33/7.36 all V_ba_2 V_aa_2 (V_aa_2!=V_ba_2-> (exists B_x (c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),B_x,c_Arrow__Order__Mirabelle_OLin)&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),B_x)))).
% 7.33/7.36 all V_a2_2 V_a1_2 V_Fa_2 V_R_2 T_b T_a (c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,V_a1_2,V_a2_2)<-> (exists B_g (V_a2_2=hAPP(hAPP(V_Fa_2,B_g),V_a1_2)& (all B_z (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_z,V_a1_2),V_R_2)->c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,B_z,hAPP(B_g,B_z))))))).
% 7.33/7.36 all V_g_2 V_Fa_2 T_b V_R_2 V_x_2 T_a ((all B_z (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_z,V_x_2),V_R_2)->c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,B_z,hAPP(V_g_2,B_z))))->c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,V_x_2,hAPP(hAPP(V_Fa_2,V_g_2),V_x_2))).
% 7.33/7.36 all V_r_2 V_aa_2 T_a (c_member(T_a,V_aa_2,c_Wellfounded_Oacc(T_a,V_r_2))<-> (all B_x (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,V_aa_2),V_r_2)->c_member(T_a,B_x,c_Wellfounded_Oacc(T_a,V_r_2))))).
% 7.33/7.36 all V_aa_2 V_r_2 V_ba_2 T_a (c_member(T_a,V_ba_2,c_Wellfounded_Oacc(T_a,V_r_2))-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),V_r_2)->c_member(T_a,V_aa_2,c_Wellfounded_Oacc(T_a,V_r_2)))).
% 7.33/7.36 all V_x_2 V_Fa_2 V_R_2 T_a T_b (c_Nitpick_Owf__wfrec_H(T_b,T_a,V_R_2,V_Fa_2,V_x_2)=hAPP(hAPP(V_Fa_2,c_Recdef_Ocut(T_b,T_a,c_Nitpick_Owf__wfrec(T_b,T_a,V_R_2,V_Fa_2),V_R_2,V_x_2)),V_x_2)).
% 7.33/7.36 all V_R_2 V_x_2 T_a (-c_member(T_a,V_x_2,c_Wellfounded_Oacc(T_a,V_R_2))-> -(all B_z (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_z,V_x_2),V_R_2)->c_member(T_a,B_z,c_Wellfounded_Oacc(T_a,V_R_2))))).
% 7.33/7.36 all V_r_2 V_x_2 T_a ((all B_y (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_y,V_x_2),V_r_2)->c_member(T_a,B_y,c_Wellfounded_Oacc(T_a,V_r_2))))->c_member(T_a,V_x_2,c_Wellfounded_Oacc(T_a,V_r_2))).
% 7.33/7.36 all V_r_2 V_aa_2 V_ba_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ba_2,V_aa_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))-> (c_member(T_a,V_aa_2,c_Wellfounded_Oacc(T_a,V_r_2))->c_member(T_a,V_ba_2,c_Wellfounded_Oacc(T_a,V_r_2)))).
% 7.33/7.36 all V_ba_2 V_r_2 V_aa_2 T_a (c_member(T_a,V_aa_2,c_Wellfounded_Oacc(T_a,V_r_2))-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ba_2,V_aa_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))->c_member(T_a,V_ba_2,c_Wellfounded_Oacc(T_a,V_r_2)))).
% 7.33/7.36 exists B_L c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),B_L,c_Arrow__Order__Mirabelle_OLin).
% 7.33/7.36 all V_y_2 V_x_2 T_a (c_member(T_a,V_x_2,c_fe_qual(V_y_2))<->V_x_2=V_y_2).
% 7.33/7.36 all V_B_2 V_ba_2 T_b V_A_2 V_aa_2 T_a (c_member(T_a,V_aa_2,V_A_2)-> (c_member(T_b,V_ba_2,hAPP(V_B_2,V_aa_2))->c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2),c_Product__Type_OSigma(T_a,T_b,V_A_2,V_B_2)))).
% 7.33/7.36 all V_r_2 T_a (c_Relation_Oirrefl(T_a,V_r_2)<-> (all B_x (-c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_x),V_r_2)))).
% 7.33/7.36 all V_r_2 V_ba_2 V_aa_2 T_b T_a (c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2),V_r_2)->c_member(T_b,V_ba_2,c_Relation_ORange(T_a,T_b,V_r_2))).
% 7.33/7.36 all V_r_2 T_b V_aa_2 T_a (c_member(T_a,V_aa_2,c_Relation_ORange(T_b,T_a,V_r_2))<-> (exists B_y c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,B_y,V_aa_2),V_r_2))).
% 7.33/7.36 all V_B_2 V_A_2 V_ba_2 V_aa_2 T_b T_a (c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2),c_Product__Type_OSigma(T_a,T_b,V_A_2,V_B_2))<->c_member(T_a,V_aa_2,V_A_2)&c_member(T_b,V_ba_2,hAPP(V_B_2,V_aa_2))).
% 7.33/7.36 all V_B_2 V_A_2 V_ba_2 V_aa_2 T_b T_a (c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2),c_Product__Type_OSigma(T_a,T_b,V_A_2,V_B_2))->c_member(T_a,V_aa_2,V_A_2)).
% 7.33/7.36 all V_B_2 V_A_2 V_ba_2 V_aa_2 T_b T_a (c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2),c_Product__Type_OSigma(T_a,T_b,V_A_2,V_B_2))->c_member(T_b,V_ba_2,hAPP(V_B_2,V_aa_2))).
% 7.33/7.36 all V_B_2 V_A_2 V_ba_2 V_aa_2 T_b T_a (c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2),c_Product__Type_OSigma(T_a,T_b,V_A_2,V_B_2))-> -(c_member(T_a,V_aa_2,V_A_2)-> -c_member(T_b,V_ba_2,hAPP(V_B_2,V_aa_2)))).
% 7.33/7.36 all V_r_2 V_aa_2 T_a c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_aa_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 7.33/7.36 all V_r_2 V_p_2 T_a (c_member(tc_prod(T_a,T_a),V_p_2,V_r_2)->c_member(tc_prod(T_a,T_a),V_p_2,c_Transitive__Closure_Ortrancl(T_a,V_r_2))).
% 7.33/7.36 all V_c_2 V_r_2 V_ba_2 V_aa_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),V_r_2)-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ba_2,V_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_aa_2,V_c_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))).
% 7.33/7.36 all V_c_2 V_r_2 V_ba_2 V_aa_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ba_2,V_c_2),V_r_2)->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_c_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))).
% 7.33/7.36 all V_c_2 V_r_2 V_ba_2 V_aa_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ba_2,V_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_aa_2,V_c_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))).
% 7.33/7.36 all V_r_2 T_b V_ba_2 T_a (c_member(T_a,V_ba_2,c_Relation_ORange(T_b,T_a,V_r_2))-> -(all B_x (-c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,B_x,V_ba_2),V_r_2)))).
% 7.33/7.36 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)))))).
% 7.33/7.36 all V_A_2 V_y_2 V_x_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Relation_OId__on(T_a,V_A_2))<->V_x_2=V_y_2&c_member(T_a,V_x_2,V_A_2)).
% 7.33/7.36 all V_A_2 T_a V_ba_2 V_aa_2 (V_aa_2=V_ba_2-> (c_member(T_a,V_aa_2,V_A_2)->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Relation_OId__on(T_a,V_A_2)))).
% 7.33/7.36 all V_A_2 T_a (c_Relation_ORange(T_a,T_a,c_Relation_OId__on(T_a,V_A_2))=V_A_2).
% 7.33/7.36 all V_r_2 T_a (c_Transitive__Closure_Ortrancl(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2))=c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 7.33/7.36 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)))).
% 7.33/7.36 all V_z_2 V_y_2 V_x_2 V_r_2 T_a (c_Relation_Osingle__valued(T_a,T_a,V_r_2)-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_z_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_y_2,V_z_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_z_2,V_y_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))))).
% 7.33/7.36 all V_y_2 V_R_2 V_x_2 T_a (-c_member(T_a,V_x_2,c_Relation_ODomain(T_a,T_a,V_R_2))-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2))<->V_x_2=V_y_2)).
% 7.33/7.36 all V_r_2 V_ba_2 V_aa_2 T_b T_a (c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2),V_r_2)->c_member(T_a,V_aa_2,c_Relation_ODomain(T_a,T_b,V_r_2))).
% 7.33/7.36 all V_Pa_2 V_r_2 V_by_2 V_bx_2 V_ay_2 V_ax_2 T_b T_a (c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_ax_2,V_ay_2),c_Product__Type_OPair(T_a,T_b,V_bx_2,V_by_2)),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2))-> (hBOOL(hAPP(hAPP(V_Pa_2,V_ax_2),V_ay_2))-> ((all B_a B_b (c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_ax_2,V_ay_2),c_Product__Type_OPair(T_a,T_b,B_a,B_b)),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2))-> (all B_aa B_ba (c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,B_a,B_b),c_Product__Type_OPair(T_a,T_b,B_aa,B_ba)),V_r_2)-> (hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b))->hBOOL(hAPP(hAPP(V_Pa_2,B_aa),B_ba)))))))->hBOOL(hAPP(hAPP(V_Pa_2,V_bx_2),V_by_2))))).
% 7.33/7.36 all V_Pa_2 V_r_2 V_by_2 V_bx_2 V_ay_2 V_ax_2 T_b T_a (c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_ax_2,V_ay_2),c_Product__Type_OPair(T_a,T_b,V_bx_2,V_by_2)),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2))-> (hBOOL(hAPP(hAPP(V_Pa_2,V_bx_2),V_by_2))-> ((all B_a B_b B_aa B_ba (c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,B_a,B_b),c_Product__Type_OPair(T_a,T_b,B_aa,B_ba)),V_r_2)-> (c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,B_aa,B_ba),c_Product__Type_OPair(T_a,T_b,V_bx_2,V_by_2)),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2))-> (hBOOL(hAPP(hAPP(V_Pa_2,B_aa),B_ba))->hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b))))))->hBOOL(hAPP(hAPP(V_Pa_2,V_ax_2),V_ay_2))))).
% 7.33/7.36 all V_r_2 V_zb_2 V_za_2 V_xb_2 V_xa_2 T_b T_a (c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_xa_2,V_xb_2),c_Product__Type_OPair(T_a,T_b,V_za_2,V_zb_2)),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2))-> (c_Product__Type_OPair(T_a,T_b,V_xa_2,V_xb_2)!=c_Product__Type_OPair(T_a,T_b,V_za_2,V_zb_2)-> -(all B_a B_b (c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_xa_2,V_xb_2),c_Product__Type_OPair(T_a,T_b,B_a,B_b)),V_r_2)-> -c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,B_a,B_b),c_Product__Type_OPair(T_a,T_b,V_za_2,V_zb_2)),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2)))))).
% 7.33/7.36 all V_r_2 V_ba_2 V_aa_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))-> (V_aa_2!=V_ba_2-> -(all B_y (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,B_y),c_Transitive__Closure_Ortrancl(T_a,V_r_2))-> -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_y,V_ba_2),V_r_2))))).
% 7.33/7.36 all V_A_2 T_a (c_Relation_ODomain(T_a,T_a,c_Relation_OId__on(T_a,V_A_2))=V_A_2).
% 7.33/7.36 all V_A_2 T_a c_Relation_Osingle__valued(T_a,T_a,c_Relation_OId__on(T_a,V_A_2)).
% 7.33/7.36 all V_r_2 T_b T_a (c_Relation_Osingle__valued(T_a,T_b,V_r_2)<-> (all B_x B_y (c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,B_x,B_y),V_r_2)-> (all B_z (c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,B_x,B_z),V_r_2)->B_y=B_z))))).
% 7.33/7.36 all V_z_2 V_y_2 V_x_2 V_r_2 T_b T_a (c_Relation_Osingle__valued(T_a,T_b,V_r_2)-> (c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_x_2,V_y_2),V_r_2)-> (c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_x_2,V_z_2),V_r_2)->V_y_2=V_z_2))).
% 7.33/7.36 all V_r_2 T_b V_aa_2 T_a (c_member(T_a,V_aa_2,c_Relation_ODomain(T_a,T_b,V_r_2))<-> (exists B_y c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,B_y),V_r_2))).
% 7.33/7.36 all V_r_2 T_b V_aa_2 T_a (c_member(T_a,V_aa_2,c_Relation_ODomain(T_a,T_b,V_r_2))-> -(all B_y (-c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,B_y),V_r_2)))).
% 7.33/7.36 all V_r_2 T_b T_a ((all B_x B_y (c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,B_x,B_y),V_r_2)-> (all B_z (c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,B_x,B_z),V_r_2)->B_y=B_z))))->c_Relation_Osingle__valued(T_a,T_b,V_r_2)).
% 7.33/7.36 all V_Pa_2 V_r_2 V_ba_2 V_aa_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))-> (hBOOL(hAPP(V_Pa_2,V_aa_2))-> ((all B_y (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,B_y),c_Transitive__Closure_Ortrancl(T_a,V_r_2))-> (all B_z (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_y,B_z),V_r_2)-> (hBOOL(hAPP(V_Pa_2,B_y))->hBOOL(hAPP(V_Pa_2,B_z)))))))->hBOOL(hAPP(V_Pa_2,V_ba_2))))).
% 7.33/7.36 all V_Pa_2 V_r_2 V_ba_2 V_aa_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))-> (hBOOL(hAPP(V_Pa_2,V_ba_2))-> ((all B_y B_z (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_y,B_z),V_r_2)-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_z,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))-> (hBOOL(hAPP(V_Pa_2,B_z))->hBOOL(hAPP(V_Pa_2,B_y))))))->hBOOL(hAPP(V_Pa_2,V_aa_2))))).
% 7.33/7.36 all V_r_2 V_z_2 V_x_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_z_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))-> (V_x_2!=V_z_2-> -(all B_y (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,B_y),V_r_2)-> -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_y,V_z_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))))).
% 7.33/7.36 all V_r_2 V_A_2 T_a (c_Relation_Ototal__on(T_a,V_A_2,V_r_2)<-> (all B_x (c_member(T_a,B_x,V_A_2)-> (all B_xa (c_member(T_a,B_xa,V_A_2)-> (B_x!=B_xa->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_xa),V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_xa,B_x),V_r_2))))))).
% 7.33/7.36 all V_f_2 V_r_2 T_b V_y_2 V_x_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Relation_Oinv__image(T_b,T_a,V_r_2,V_f_2))<->c_member(tc_prod(T_b,T_b),c_Product__Type_OPair(T_b,T_b,hAPP(V_f_2,V_x_2),hAPP(V_f_2,V_y_2)),V_r_2)).
% 7.33/7.36 all V_aa_2 V_r_2 V_A_2 T_a (c_Relation_Orefl__on(T_a,V_A_2,V_r_2)-> (c_member(T_a,V_aa_2,V_A_2)->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_aa_2),V_r_2))).
% 7.33/7.36 all V_A_2 T_a c_Relation_Orefl__on(T_a,V_A_2,c_Relation_OId__on(T_a,V_A_2)).
% 7.33/7.36 all V_y_2 V_x_2 V_r_2 V_A_2 T_a (c_Relation_Orefl__on(T_a,V_A_2,V_r_2)-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),V_r_2)->c_member(T_a,V_y_2,V_A_2))).
% 7.33/7.36 all V_y_2 V_x_2 V_r_2 V_A_2 T_a (c_Relation_Orefl__on(T_a,V_A_2,V_r_2)-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),V_r_2)->c_member(T_a,V_x_2,V_A_2))).
% 7.33/7.36 all V_r_2 V_ba_2 V_aa_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))).
% 7.33/7.36 all V_aa_2 T_a c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_aa_2),c_Relation_OId(T_a)).
% 7.33/7.36 all V_ba_2 V_aa_2 V_r_2 T_a (c_Relation_Oantisym(T_a,V_r_2)-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),V_r_2)-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ba_2,V_aa_2),V_r_2)->V_aa_2=V_ba_2))).
% 7.33/7.36 all V_r_2 T_a (c_Relation_Oantisym(T_a,V_r_2)<-> (all B_x B_y (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_y),V_r_2)-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_y,B_x),V_r_2)->B_x=B_y)))).
% 7.33/7.36 all V_r_2 V_y_2 V_x_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Ortrancl(T_a,c_Relation_Oconverse(T_a,T_a,V_r_2)))->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_y_2,V_x_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))).
% 7.33/7.36 all V_r_2 V_x_2 V_y_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_y_2,V_x_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Ortrancl(T_a,c_Relation_Oconverse(T_a,T_a,V_r_2)))).
% 7.33/7.36 all V_z_2 V_r_2 V_y_2 V_x_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_y_2,V_z_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_z_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)))).
% 7.33/7.36 all V_r_2 V_ba_2 V_aa_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),V_r_2)->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))).
% 7.33/7.36 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))).
% 7.33/7.36 all T_a c_Relation_Oantisym(T_a,c_Relation_OId(T_a)).
% 7.33/7.36 all T_a (c_Relation_Oconverse(T_a,T_a,c_Relation_OId(T_a))=c_Relation_OId(T_a)).
% 7.33/7.36 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).
% 7.33/7.36 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)).
% 7.33/7.36 all V_r_2 V_y_2 V_x_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Relation_Oconverse(T_a,T_a,c_Transitive__Closure_Otrancl(T_a,V_r_2)))->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Otrancl(T_a,c_Relation_Oconverse(T_a,T_a,V_r_2)))).
% 7.33/7.36 all V_r_2 V_y_2 V_x_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Otrancl(T_a,c_Relation_Oconverse(T_a,T_a,V_r_2)))->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Relation_Oconverse(T_a,T_a,c_Transitive__Closure_Otrancl(T_a,V_r_2)))).
% 7.33/7.36 all V_r_2 V_p_2 T_a (c_member(tc_prod(T_a,T_a),V_p_2,V_r_2)->c_member(tc_prod(T_a,T_a),V_p_2,c_Transitive__Closure_Otrancl(T_a,V_r_2))).
% 7.33/7.36 all V_R_2 T_a (c_Transitive__Closure_Ortrancl(T_a,c_Transitive__Closure_Otrancl(T_a,V_R_2))=c_Transitive__Closure_Ortrancl(T_a,V_R_2)).
% 7.33/7.36 all V_R_2 T_a (c_Transitive__Closure_Otrancl(T_a,c_Transitive__Closure_Ortrancl(T_a,V_R_2))=c_Transitive__Closure_Ortrancl(T_a,V_R_2)).
% 7.33/7.36 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))).
% 7.33/7.36 all V_r_2 T_a (c_Relation_ODomain(T_a,T_a,c_Transitive__Closure_Otrancl(T_a,V_r_2))=c_Relation_ODomain(T_a,T_a,V_r_2)).
% 7.33/7.36 all V_r_2 T_a (c_Relation_ORange(T_a,T_a,c_Transitive__Closure_Otrancl(T_a,V_r_2))=c_Relation_ORange(T_a,T_a,V_r_2)).
% 7.33/7.36 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)).
% 7.34/7.36 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)).
% 7.34/7.36 all V_f_2 V_R_2 T_b T_a (c_Relation_Oconverse(T_a,T_a,c_Relation_Oinv__image(T_b,T_a,V_R_2,V_f_2))=c_Relation_Oinv__image(T_b,T_a,c_Relation_Oconverse(T_b,T_b,V_R_2),V_f_2)).
% 7.34/7.36 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)).
% 7.34/7.36 all T_a c_Relation_Osingle__valued(T_a,T_a,c_Relation_OId(T_a)).
% 7.34/7.36 all V_c_2 V_R_2 V_ba_2 V_aa_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),V_R_2)-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ba_2,V_c_2),V_R_2)->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_c_2),c_Transitive__Closure_Otrancl(T_a,V_R_2)))).
% 7.34/7.36 all V_c_2 V_r_2 V_ba_2 V_aa_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),V_r_2)-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ba_2,V_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_aa_2,V_c_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)))).
% 7.34/7.36 all V_c_2 V_r_2 V_ba_2 V_aa_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ba_2,V_c_2),V_r_2)->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_c_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)))).
% 7.34/7.36 all V_c_2 V_r_2 V_ba_2 V_aa_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ba_2,V_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_aa_2,V_c_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)))).
% 7.34/7.36 all V_r_2 V_ba_2 V_aa_2 T_b T_a (c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2),c_Relation_Oconverse(T_b,T_a,V_r_2))<->c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,V_ba_2,V_aa_2),V_r_2)).
% 7.34/7.36 all V_r_2 V_ba_2 V_aa_2 T_b T_a (c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2),V_r_2)->c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,V_ba_2,V_aa_2),c_Relation_Oconverse(T_a,T_b,V_r_2))).
% 7.34/7.36 all V_r_2 V_ba_2 V_aa_2 T_b T_a (c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2),c_Relation_Oconverse(T_b,T_a,V_r_2))->c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,V_ba_2,V_aa_2),V_r_2)).
% 7.34/7.36 all V_A_2 T_a c_Relation_Oantisym(T_a,c_Relation_OId__on(T_a,V_A_2)).
% 7.34/7.36 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)).
% 7.34/7.36 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)).
% 7.34/7.36 all V_r_2 T_a T_b (c_Relation_ORange(T_b,T_a,V_r_2)=c_Relation_ODomain(T_a,T_b,c_Relation_Oconverse(T_b,T_a,V_r_2))).
% 7.34/7.36 all V_ba_2 V_aa_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Relation_OId(T_a))<->V_aa_2=V_ba_2).
% 7.34/7.36 all V_L_2 (c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_L_2),c_Arrow__Order__Mirabelle_OLin)<->c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),V_L_2,c_Arrow__Order__Mirabelle_OLin)).
% 7.34/7.36 all V_R_2 V_y_2 V_x_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2))<->V_x_2=V_y_2|V_x_2!=V_y_2&c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Otrancl(T_a,V_R_2))).
% 7.34/7.36 all V_c_2 V_r_2 V_ba_2 V_aa_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),V_r_2)-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ba_2,V_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_aa_2,V_c_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)))).
% 7.34/7.36 all V_R_2 V_ba_2 V_aa_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2))->V_aa_2=V_ba_2|V_aa_2!=V_ba_2&c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Otrancl(T_a,V_R_2))).
% 7.34/7.36 all V_c_2 V_r_2 V_ba_2 V_aa_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ba_2,V_c_2),V_r_2)->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_c_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)))).
% 7.34/7.36 all V_c_2 V_r_2 V_ba_2 V_aa_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ba_2,V_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_aa_2,V_c_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)))).
% 7.34/7.36 all V_R_2 V_y_2 V_x_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Otrancl(T_a,V_R_2))-> (exists B_z (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,B_z),V_R_2)&c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_z,V_y_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2))))).
% 7.34/7.36 all V_R_2 V_y_2 V_x_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Otrancl(T_a,V_R_2))-> (exists B_z (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,B_z),c_Transitive__Closure_Ortrancl(T_a,V_R_2))&c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_z,V_y_2),V_R_2)))).
% 7.34/7.36 all V_p_2 T_a (c_member(tc_prod(T_a,T_a),V_p_2,c_Relation_OId(T_a))-> -(all B_x (V_p_2!=c_Product__Type_OPair(T_a,T_a,B_x,B_x)))).
% 7.34/7.36 all V_r_2 T_a (c_Wellfounded_Oacyclic(T_a,V_r_2)<-> (all B_x (-c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_x),c_Transitive__Closure_Otrancl(T_a,V_r_2))))).
% 7.34/7.36 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)))).
% 7.34/7.36 all V_r_2 T_a ((all B_x B_y (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_y),V_r_2)-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_y,B_x),V_r_2)->B_x=B_y)))->c_Relation_Oantisym(T_a,V_r_2)).
% 7.34/7.36 all V_y_2 V_x_2 V_r_2 T_a ((all B_x (-c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_x),c_Transitive__Closure_Otrancl(T_a,V_r_2))))-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),V_r_2)->V_x_2!=V_y_2)).
% 7.34/7.36 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)).
% 7.34/7.36 all V_r_2 T_a (c_Wellfounded_Oacyclic(T_a,V_r_2)->c_Relation_Oantisym(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2))).
% 7.34/7.36 all V_r_2 T_a ((all B_x (-c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_x),c_Transitive__Closure_Otrancl(T_a,V_r_2))))->c_Wellfounded_Oacyclic(T_a,V_r_2)).
% 7.34/7.36 all V_r_2 V_x_2 V_y_2 T_a (c_Wellfounded_Oacyclic(T_a,c_Set_Oinsert(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_y_2,V_x_2),V_r_2))<->c_Wellfounded_Oacyclic(T_a,V_r_2)& -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))).
% 7.34/7.36 all V_r_2 V_ba_2 V_aa_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))-> (-c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),V_r_2)-> -(all B_c (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,B_c),c_Transitive__Closure_Otrancl(T_a,V_r_2))-> -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_c,V_ba_2),V_r_2))))).
% 7.34/7.36 all V_r_2 V_z_2 V_x_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_z_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))-> (-c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_z_2),V_r_2)-> -(all B_y (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,B_y),V_r_2)-> -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_y,V_z_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)))))).
% 7.34/7.36 all V_r_2 T_a (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),c_Transitive__Closure_Otrancl(T_a,V_r_2),c_Relation_OId(T_a))=c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 7.34/7.36 all V_r_2 T_a (c_Transitive__Closure_Otrancl(T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,c_Relation_OId(T_a)))=c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 7.34/7.36 all V_x_2 V_B_2 V_A_2 T_a (hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_x_2))-> (-hBOOL(hAPP(V_A_2,V_x_2))->hBOOL(hAPP(V_B_2,V_x_2)))).
% 7.34/7.36 all T_a V_A_2 V_x_2 V_B_2 ((-hBOOL(hAPP(V_B_2,V_x_2))->hBOOL(hAPP(V_A_2,V_x_2)))->hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_x_2))).
% 7.34/7.36 all V_A_2 V_ba_2 V_aa_2 T_a (c_member(T_a,V_aa_2,c_Set_Oinsert(T_a,V_ba_2,V_A_2))-> (V_aa_2!=V_ba_2->c_member(T_a,V_aa_2,V_A_2))).
% 7.34/7.36 all V_ba_2 V_B_2 V_aa_2 T_a ((-c_member(T_a,V_aa_2,V_B_2)->V_aa_2=V_ba_2)->c_member(T_a,V_aa_2,c_Set_Oinsert(T_a,V_ba_2,V_B_2))).
% 7.34/7.36 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))).
% 7.34/7.36 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))).
% 7.34/7.36 all V_s_2 V_B_2 V_r_2 V_A_2 T_a (c_Relation_Orefl__on(T_a,V_A_2,V_r_2)-> (c_Relation_Orefl__on(T_a,V_B_2,V_s_2)->c_Relation_Orefl__on(T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,V_s_2)))).
% 7.34/7.36 all V_A_2 T_a (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_A_2)=V_A_2).
% 7.34/7.36 all V_B_2 V_A_2 T_a (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2)).
% 7.34/7.36 all V_A_2 V_x_2 T_a (c_Set_Oinsert(T_a,V_x_2,c_Set_Oinsert(T_a,V_x_2,V_A_2))=c_Set_Oinsert(T_a,V_x_2,V_A_2)).
% 7.34/7.36 all V_B_2 V_A_2 T_a (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)).
% 7.34/7.36 all V_A_2 V_y_2 V_x_2 T_a (c_Set_Oinsert(T_a,V_x_2,c_Set_Oinsert(T_a,V_y_2,V_A_2))=c_Set_Oinsert(T_a,V_y_2,c_Set_Oinsert(T_a,V_x_2,V_A_2))).
% 7.34/7.36 all V_B_2 V_aa_2 V_A_2 T_a (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_aa_2,V_B_2))=c_Set_Oinsert(T_a,V_aa_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))).
% 7.34/7.36 all V_C_2 V_B_2 V_A_2 T_a (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2))=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_B_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2))).
% 7.34/7.36 all V_C_2 V_B_2 V_aa_2 T_a (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_aa_2,V_B_2),V_C_2)=c_Set_Oinsert(T_a,V_aa_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2))).
% 7.34/7.36 all V_C_2 V_B_2 V_A_2 T_a (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_C_2)=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2))).
% 7.34/7.36 all V_Pa_2 V_B_2 V_A_2 T_a ((exists B_x (c_member(T_a,B_x,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))&hBOOL(hAPP(V_Pa_2,B_x))))<-> (exists B_x (c_member(T_a,B_x,V_A_2)&hBOOL(hAPP(V_Pa_2,B_x))))| (exists B_x (c_member(T_a,B_x,V_B_2)&hBOOL(hAPP(V_Pa_2,B_x))))).
% 7.34/7.36 all V_Pa_2 V_B_2 V_A_2 T_a ((all B_x (c_member(T_a,B_x,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))->hBOOL(hAPP(V_Pa_2,B_x))))<-> (all B_x (c_member(T_a,B_x,V_A_2)->hBOOL(hAPP(V_Pa_2,B_x))))& (all B_x (c_member(T_a,B_x,V_B_2)->hBOOL(hAPP(V_Pa_2,B_x))))).
% 7.34/7.36 all V_x_2 V_A_2 V_y_2 T_a (hBOOL(hAPP(c_Set_Oinsert(T_a,V_y_2,V_A_2),V_x_2))<->V_y_2=V_x_2|hBOOL(hAPP(V_A_2,V_x_2))).
% 7.34/7.36 all V_B_2 V_A_2 T_a T_b (c_Relation_ORange(T_b,T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),V_A_2,V_B_2))=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Relation_ORange(T_b,T_a,V_A_2),c_Relation_ORange(T_b,T_a,V_B_2))).
% 7.34/7.36 all V_B_2 T_a V_x_2 V_A_2 (hBOOL(hAPP(V_A_2,V_x_2))->hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_x_2))).
% 7.34/7.36 all V_A_2 T_a V_x_2 V_B_2 (hBOOL(hAPP(V_B_2,V_x_2))->hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_x_2))).
% 7.34/7.36 all V_B_2 V_A_2 T_b T_a (c_Relation_ODomain(T_a,T_b,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),V_A_2,V_B_2))=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Relation_ODomain(T_a,T_b,V_A_2),c_Relation_ODomain(T_a,T_b,V_B_2))).
% 7.34/7.36 all V_r_2 V_ba_2 V_aa_2 T_b T_a (c_Relation_ODomain(T_a,T_b,c_Set_Oinsert(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2),V_r_2))=c_Set_Oinsert(T_a,V_aa_2,c_Relation_ODomain(T_a,T_b,V_r_2))).
% 7.34/7.36 all V_r_2 V_ba_2 V_aa_2 T_a T_b (c_Relation_ORange(T_b,T_a,c_Set_Oinsert(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,V_aa_2,V_ba_2),V_r_2))=c_Set_Oinsert(T_a,V_ba_2,c_Relation_ORange(T_b,T_a,V_r_2))).
% 7.34/7.36 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)).
% 7.34/7.36 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))).
% 7.34/7.36 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))).
% 7.34/7.36 all V_B_2 V_aa_2 T_a c_member(T_a,V_aa_2,c_Set_Oinsert(T_a,V_aa_2,V_B_2)).
% 7.34/7.36 all V_A_2 V_ba_2 V_aa_2 T_a (c_member(T_a,V_aa_2,c_Set_Oinsert(T_a,V_ba_2,V_A_2))<->V_aa_2=V_ba_2|c_member(T_a,V_aa_2,V_A_2)).
% 7.34/7.36 all V_B_2 V_A_2 V_x_2 T_a (-c_member(T_a,V_x_2,V_A_2)-> (-c_member(T_a,V_x_2,V_B_2)-> (c_Set_Oinsert(T_a,V_x_2,V_A_2)=c_Set_Oinsert(T_a,V_x_2,V_B_2)<->V_A_2=V_B_2))).
% 7.34/7.36 all V_ba_2 V_B_2 V_aa_2 T_a (c_member(T_a,V_aa_2,V_B_2)->c_member(T_a,V_aa_2,c_Set_Oinsert(T_a,V_ba_2,V_B_2))).
% 7.34/7.36 all V_A_2 V_aa_2 T_a (c_member(T_a,V_aa_2,V_A_2)->c_Set_Oinsert(T_a,V_aa_2,V_A_2)=V_A_2).
% 7.34/7.36 all V_S_2 V_R_2 T_a (c_Transitive__Closure_Ortrancl(T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(T_a,V_R_2),c_Transitive__Closure_Ortrancl(T_a,V_S_2)))=c_Transitive__Closure_Ortrancl(T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_R_2,V_S_2))).
% 7.34/7.36 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))).
% 7.34/7.36 all V_S_2 V_R_2 V_x_2 T_a (c_member(tc_prod(T_a,T_a),V_x_2,c_Transitive__Closure_Ortrancl(T_a,V_R_2))|c_member(tc_prod(T_a,T_a),V_x_2,c_Transitive__Closure_Ortrancl(T_a,V_S_2))->c_member(tc_prod(T_a,T_a),V_x_2,c_Transitive__Closure_Ortrancl(T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_R_2,V_S_2)))).
% 7.34/7.36 all V_R_2 T_a (c_Transitive__Closure_Ortrancl(T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_R_2,c_Relation_OId(T_a)))=c_Transitive__Closure_Ortrancl(T_a,V_R_2)).
% 7.34/7.36 all V_R_2 T_a (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(T_a,V_R_2),c_Relation_OId(T_a))=c_Transitive__Closure_Ortrancl(T_a,V_R_2)).
% 7.34/7.36 all V_r_2 T_a (c_Relation_Oantisym(T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,c_Relation_OId(T_a)))<->c_Relation_Oantisym(T_a,V_r_2)).
% 7.34/7.36 all V_x_2 V_g_2 V_f_2 T_b T_a (class_Lattices_Olattice(T_a)->hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,T_a),V_f_2,V_g_2),V_x_2)=c_Lattices_Osemilattice__sup__class_Osup(T_a,hAPP(V_f_2,V_x_2),hAPP(V_g_2,V_x_2))).
% 7.34/7.36 all V_Q_2 V_Pa_2 V_ba_2 V_aa_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_Pa_2,V_Q_2)))-> ((all B_x (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,B_x),c_Transitive__Closure_Ortrancl(T_a,V_Pa_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_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_Pa_2)))).
% 7.34/7.36 all V_Q_2 V_Pa_2 V_ba_2 V_aa_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_Pa_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_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_Pa_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_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_Pa_2)))).
% 7.34/7.36 all V_r_2 V_x_2 V_y_2 T_a (c_Wellfounded_Owf(T_a,c_Set_Oinsert(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_y_2,V_x_2),V_r_2))<->c_Wellfounded_Owf(T_a,V_r_2)& -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))).
% 7.34/7.36 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))).
% 7.34/7.36 all V_r_2 T_a c_Relation_Orefl__on(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,c_Relation_OId(T_a))).
% 7.34/7.36 all V_x_2 T_a hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),V_x_2)).
% 7.34/7.36 all V_x_2 T_a c_member(T_a,V_x_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))).
% 7.34/7.36 all V_f_2 T_b V_r_2 T_a (c_Wellfounded_Owf(T_a,V_r_2)->c_Wellfounded_Owf(T_b,c_Relation_Oinv__image(T_a,T_b,V_r_2,V_f_2))).
% 7.34/7.36 all V_rb_2 T_b V_ra_2 T_a (c_Wellfounded_Owf(T_a,V_ra_2)-> (c_Wellfounded_Owf(T_b,V_rb_2)->c_Wellfounded_Owf(tc_prod(T_a,T_b),c_Wellfounded_Olex__prod(T_a,T_b,V_ra_2,V_rb_2)))).
% 7.34/7.36 all V_x T_a (class_Lattices_Obounded__lattice__top(T_a)->c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,c_Orderings_Otop__class_Otop(T_a))=c_Orderings_Otop__class_Otop(T_a)).
% 7.34/7.36 all V_x T_a (class_Lattices_Obounded__lattice__top(T_a)->c_Lattices_Osemilattice__sup__class_Osup(T_a,c_Orderings_Otop__class_Otop(T_a),V_x)=c_Orderings_Otop__class_Otop(T_a)).
% 7.34/7.36 all V_A_2 T_a (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))).
% 7.34/7.36 all V_B_2 T_a (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),V_B_2)=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))).
% 7.34/7.36 all V_r_2 T_a (c_Wellfounded_Owf(T_a,V_r_2)->c_Wellfounded_Owf(T_a,c_Transitive__Closure_Otrancl(T_a,V_r_2))).
% 7.34/7.36 all V_r_2 T_a (c_Wellfounded_Owf(T_a,V_r_2)->c_Wellfounded_Oacyclic(T_a,V_r_2)).
% 7.34/7.36 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)).
% 7.34/7.36 all V_aa_2 V_r_2 T_a (c_Wellfounded_Owf(T_a,V_r_2)-> -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_aa_2),V_r_2)).
% 7.34/7.36 all V_x_2 V_aa_2 V_r_2 T_a (c_Wellfounded_Owf(T_a,V_r_2)-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_x_2),V_r_2)-> -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_aa_2),V_r_2))).
% 7.34/7.36 all V_x_2 V_aa_2 V_r_2 T_a (c_Wellfounded_Owf(T_a,V_r_2)-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_x_2),V_r_2)-> -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_aa_2),V_r_2))).
% 7.34/7.36 all V_aa_2 V_r_2 T_a (c_Wellfounded_Owf(T_a,V_r_2)-> -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_aa_2),V_r_2)).
% 7.34/7.36 all V_x_2 V_r_2 T_a (c_Wellfounded_Owf(T_a,V_r_2)->c_member(T_a,V_x_2,c_Wellfounded_Oacc(T_a,V_r_2))).
% 7.34/7.36 all V_r_2 T_a (c_Wellfounded_Owf(T_a,V_r_2)<-> (all B_x c_member(T_a,B_x,c_Wellfounded_Oacc(T_a,V_r_2)))).
% 7.34/7.36 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)))).
% 7.34/7.36 all V_R_2 T_a (c_Relation_ODomain(T_a,T_a,c_Transitive__Closure_Ortrancl(T_a,V_R_2))=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))).
% 7.34/7.36 all V_R_2 T_a (c_Relation_ORange(T_a,T_a,c_Transitive__Closure_Ortrancl(T_a,V_R_2))=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))).
% 7.34/7.36 all V_r_2 T_a c_Relation_Orefl__on(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 7.34/7.36 all T_a (c_Relation_ODomain(T_a,T_a,c_Relation_OId(T_a))=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))).
% 7.34/7.36 all T_a (c_Relation_ORange(T_a,T_a,c_Relation_OId(T_a))=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))).
% 7.34/7.36 all T_a c_Relation_Orefl__on(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),c_Relation_OId(T_a)).
% 7.34/7.36 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))).
% 7.34/7.36 all V_a T_a (class_Lattices_Osemilattice__sup(T_a)->c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,V_a)=V_a).
% 7.34/7.36 all V_x T_a (class_Lattices_Osemilattice__sup(T_a)->c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_x)=V_x).
% 7.34/7.36 all V_b V_a T_a (class_Lattices_Osemilattice__sup(T_a)->c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,V_b)=c_Lattices_Osemilattice__sup__class_Osup(T_a,V_b,V_a)).
% 7.34/7.36 all V_y V_x T_a (class_Lattices_Olattice(T_a)->c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y)=c_Lattices_Osemilattice__sup__class_Osup(T_a,V_y,V_x)).
% 7.34/7.36 all V_y V_x T_a (class_Lattices_Osemilattice__sup(T_a)->c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y)=c_Lattices_Osemilattice__sup__class_Osup(T_a,V_y,V_x)).
% 7.34/7.36 all V_b V_a T_a (class_Lattices_Osemilattice__sup(T_a)->c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,V_b))=c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,V_b)).
% 7.34/7.36 all V_y V_x T_a (class_Lattices_Olattice(T_a)->c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y))=c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y)).
% 7.34/7.36 all V_y V_x T_a (class_Lattices_Osemilattice__sup(T_a)->c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y))=c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y)).
% 7.34/7.36 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))).
% 7.34/7.36 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))).
% 7.34/7.36 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))).
% 7.34/7.36 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))).
% 7.34/7.36 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))).
% 7.34/7.36 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))).
% 7.34/7.36 all V_f_2 T_a c_Wellfounded_Owf(T_a,c_Wellfounded_Omeasure(T_a,V_f_2)).
% 7.34/7.36 all V_x_2 T_b T_a (class_Orderings_Otop(T_a)->hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_b,T_a)),V_x_2)=c_Orderings_Otop__class_Otop(T_a)).
% 7.34/7.36 all V_x_2 T_a c_member(T_a,V_x_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))).
% 7.34/7.36 all T_b T_a B_M B_R (c_Wellfounded_Owf(T_a,B_R)-> (all B_x (hAPP(c_Recdef_Owfrec(T_a,T_b,B_R,B_M),B_x)=hAPP(hAPP(B_M,c_Recdef_Ocut(T_a,T_b,c_Recdef_Owfrec(T_a,T_b,B_R,B_M),B_R,B_x)),B_x)))).
% 7.34/7.36 all V_aa_2 V_H_2 T_b V_r_2 T_a (c_Wellfounded_Owf(T_a,V_r_2)->hAPP(c_Recdef_Owfrec(T_a,T_b,V_r_2,V_H_2),V_aa_2)=hAPP(hAPP(V_H_2,c_Recdef_Ocut(T_a,T_b,c_Recdef_Owfrec(T_a,T_b,V_r_2,V_H_2),V_r_2,V_aa_2)),V_aa_2)).
% 7.34/7.36 all V_aa_2 V_H_2 V_r_2 T_b T_a V_f_2 (V_f_2=c_Recdef_Owfrec(T_a,T_b,V_r_2,V_H_2)-> (c_Wellfounded_Owf(T_a,V_r_2)->hAPP(V_f_2,V_aa_2)=hAPP(hAPP(V_H_2,c_Recdef_Ocut(T_a,T_b,V_f_2,V_r_2,V_aa_2)),V_aa_2))).
% 7.34/7.36 all T_a V_R_2 T_b V_Pa_2 ((all B_x (hBOOL(hAPP(V_Pa_2,B_x))->c_Wellfounded_Owf(T_b,hAPP(V_R_2,B_x))))->c_Wellfounded_Owf(tc_prod(T_a,T_b),c_Recdef_Osame__fst(T_a,T_b,V_Pa_2,V_R_2))).
% 7.34/7.36 all V_r_2 V_ba_2 V_aa_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_aa_2,V_ba_2),V_r_2))=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_aa_2,c_Set_Oinsert(T_a,V_ba_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),c_Relation_OField(T_a,V_r_2))).
% 7.34/7.36 all V_r_2 T_a (c_Wellfounded_Owf(T_a,V_r_2)<-> (all B_Q ((exists B_x c_member(T_a,B_x,B_Q))-> (exists B_x (c_member(T_a,B_x,B_Q)& (all B_y (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_y,B_x),V_r_2)-> -c_member(T_a,B_y,B_Q)))))))).
% 7.34/7.36 all V_R_2 T_a (c_Wellfounded_Owf(T_a,V_R_2)->c_Wellfounded_OwfP(T_a,c_FunDef_Oin__rel(T_a,T_a,V_R_2))).
% 7.34/7.36 all T_a c_Wellfounded_Owf(T_a,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))).
% 7.34/7.36 all V_aa_2 T_a (-c_member(T_a,V_aa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))).
% 7.34/7.36 all T_a (c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))).
% 7.34/7.36 all V_x_2 T_b T_a (class_Orderings_Obot(T_a)->hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,T_a)),V_x_2)=c_Orderings_Obot__class_Obot(T_a)).
% 7.34/7.36 all T_a (c_Transitive__Closure_Otrancl(T_a,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))).
% 7.34/7.36 all T_a c_Relation_Oantisym(T_a,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))).
% 7.34/7.36 all T_b T_a (c_Relation_ODomain(T_a,T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))).
% 7.34/7.36 all V_r_2 T_b T_a (c_Relation_ODomain(T_a,T_b,V_r_2)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))<->V_r_2=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))).
% 7.34/7.36 all T_a (c_Relation_OId__on(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))).
% 7.34/7.36 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))).
% 7.34/7.36 all V_r_2 T_a T_b (c_Relation_ORange(T_b,T_a,V_r_2)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))<->V_r_2=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool))).
% 7.34/7.36 all T_a T_b (c_Relation_ORange(T_b,T_a,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))).
% 7.34/7.36 all T_a c_Relation_Orefl__on(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))).
% 7.34/7.36 all V_B_2 T_a (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_B_2)=V_B_2).
% 7.34/7.36 all V_A_2 T_a (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))=V_A_2).
% 7.34/7.36 all V_B_2 V_A_2 T_a (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))<->V_A_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))&V_B_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))).
% 7.34/7.36 all V_A_2 V_aa_2 T_a (c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))!=c_Set_Oinsert(T_a,V_aa_2,V_A_2)).
% 7.34/7.36 all V_A_2 V_aa_2 T_a (c_Set_Oinsert(T_a,V_aa_2,V_A_2)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))).
% 7.34/7.36 all V_d_2 V_c_2 V_ba_2 V_aa_2 T_a (c_Set_Oinsert(T_a,V_aa_2,c_Set_Oinsert(T_a,V_ba_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))=c_Set_Oinsert(T_a,V_c_2,c_Set_Oinsert(T_a,V_d_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))<->V_aa_2=V_c_2&V_ba_2=V_d_2|V_aa_2=V_d_2&V_ba_2=V_c_2).
% 7.34/7.36 all V_ba_2 V_aa_2 T_a (c_Set_Oinsert(T_a,V_aa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))=c_Set_Oinsert(T_a,V_ba_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))->V_aa_2=V_ba_2).
% 7.34/7.36 all V_A_2 T_a ((all B_x (-c_member(T_a,B_x,V_A_2)))<->V_A_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))).
% 7.34/7.36 all V_A_2 T_a ((exists B_x c_member(T_a,B_x,V_A_2))<->V_A_2!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))).
% 7.34/7.36 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)))).
% 7.34/7.36 all V_aa_2 T_a V_A_2 (V_A_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))-> -c_member(T_a,V_aa_2,V_A_2)).
% 7.34/7.36 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))).
% 7.34/7.36 all V_r_2 T_a c_Relation_Ototal__on(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_r_2).
% 7.34/7.36 all V_y_2 V_x_2 T_a (class_Lattices_Obounded__lattice__bot(T_a)-> (c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x_2,V_y_2)=c_Orderings_Obot__class_Obot(T_a)<->V_x_2=c_Orderings_Obot__class_Obot(T_a)&V_y_2=c_Orderings_Obot__class_Obot(T_a))).
% 7.34/7.36 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).
% 7.34/7.36 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).
% 7.34/7.36 all V_aa_2 V_ba_2 T_a (c_member(T_a,V_ba_2,c_Set_Oinsert(T_a,V_aa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))->V_ba_2=V_aa_2).
% 7.34/7.36 all V_aa_2 V_ba_2 T_a (c_member(T_a,V_ba_2,c_Set_Oinsert(T_a,V_aa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))<->V_ba_2=V_aa_2).
% 7.34/7.36 all V_A_2 V_aa_2 T_a (c_Set_Oinsert(T_a,V_aa_2,V_A_2)=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_aa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_A_2)).
% 7.34/7.36 all T_a (c_Transitive__Closure_Ortrancl(T_a,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)))=c_Relation_OId(T_a)).
% 7.34/7.36 all V_x_2 T_a (c_Set_Othe__elem(T_a,c_Set_Oinsert(T_a,V_x_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))=V_x_2).
% 7.34/7.36 all V_s_2 V_r_2 T_a (c_Wellfounded_Owf(T_a,V_r_2)-> (c_Wellfounded_Owf(T_a,V_s_2)-> (c_Lattices_Osemilattice__inf__class_Oinf(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_s_2))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))->c_Wellfounded_Owf(T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,V_s_2))))).
% 7.34/7.36 all V_x_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_x_2,V_x_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))).
% 7.34/7.36 all V_aa_2 V_r_2 T_b V_ba_2 T_a (c_member(T_a,V_ba_2,c_Relation_OImage(T_b,T_a,V_r_2,c_Set_Oinsert(T_b,V_aa_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_aa_2,V_ba_2),V_r_2)).
% 7.34/7.36 all T_a V_B_2 V_x_2 V_A_2 (hBOOL(hAPP(V_A_2,V_x_2))-> (hBOOL(hAPP(V_B_2,V_x_2))->hBOOL(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_x_2)))).
% 7.34/7.36 all V_x_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_x_2))-> -(hBOOL(hAPP(V_A_2,V_x_2))-> -hBOOL(hAPP(V_B_2,V_x_2)))).
% 7.34/7.36 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))).
% 7.34/7.36 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)))).
% 7.34/7.36 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))).
% 7.34/7.36 all V_B_2 V_A_2 T_a (c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))<-> (all B_x (c_member(T_a,B_x,V_A_2)-> (all B_xa (c_member(T_a,B_xa,V_B_2)->B_x!=B_xa))))).
% 7.34/7.36 all V_A_2 T_a (c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))).
% 7.34/7.36 all V_B_2 T_a (c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_B_2)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))).
% 7.34/7.36 all V_x T_a (class_Lattices_Obounded__lattice__bot(T_a)->c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,c_Orderings_Obot__class_Obot(T_a))=c_Orderings_Obot__class_Obot(T_a)).
% 7.34/7.36 all V_x T_a (class_Lattices_Obounded__lattice__bot(T_a)->c_Lattices_Osemilattice__inf__class_Oinf(T_a,c_Orderings_Obot__class_Obot(T_a),V_x)=c_Orderings_Obot__class_Obot(T_a)).
% 7.34/7.36 all V_x V_z V_y T_a (class_Lattices_Odistrib__lattice(T_a)->c_Lattices_Osemilattice__sup__class_Osup(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_y,V_z),V_x)=c_Lattices_Osemilattice__inf__class_Oinf(T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_y,V_x),c_Lattices_Osemilattice__sup__class_Osup(T_a,V_z,V_x))).
% 7.34/7.36 all V_x V_z V_y T_a (class_Lattices_Odistrib__lattice(T_a)->c_Lattices_Osemilattice__inf__class_Oinf(T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_y,V_z),V_x)=c_Lattices_Osemilattice__sup__class_Osup(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_y,V_x),c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_z,V_x))).
% 7.34/7.36 all V_z V_y V_x T_a (class_Lattices_Odistrib__lattice(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))).
% 7.34/7.36 all V_z V_y V_x T_a (class_Lattices_Odistrib__lattice(T_a)->c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_y,V_z))=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))).
% 7.34/7.36 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__inf__class_Oinf(T_a,V_x,V_y))=V_x).
% 7.34/7.36 all V_y V_x T_a (class_Lattices_Olattice(T_a)->c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y))=V_x).
% 7.34/7.36 all V_a T_a (class_Lattices_Osemilattice__inf(T_a)->c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,V_a)=V_a).
% 7.34/7.36 all V_x T_a (class_Lattices_Osemilattice__inf(T_a)->c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_x)=V_x).
% 7.34/7.36 all V_b V_a T_a (class_Lattices_Osemilattice__inf(T_a)->c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,V_b)=c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_b,V_a)).
% 7.34/7.36 all V_y V_x T_a (class_Lattices_Olattice(T_a)->c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y)=c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_y,V_x)).
% 7.34/7.36 all V_y V_x T_a (class_Lattices_Osemilattice__inf(T_a)->c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y)=c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_y,V_x)).
% 7.34/7.36 all V_b V_a T_a (class_Lattices_Osemilattice__inf(T_a)->c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,V_b))=c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,V_b)).
% 7.34/7.36 all V_y V_x T_a (class_Lattices_Olattice(T_a)->c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y))=c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y)).
% 7.34/7.36 all V_y V_x T_a (class_Lattices_Osemilattice__inf(T_a)->c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y))=c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y)).
% 7.34/7.36 all V_c V_a V_b T_a (class_Lattices_Osemilattice__inf(T_a)->c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_b,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,V_c))=c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_b,V_c))).
% 7.34/7.36 all V_z V_y V_x T_a (class_Lattices_Olattice(T_a)->c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_y,V_z))=c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_y,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_z))).
% 7.34/7.36 all V_z V_y V_x T_a (class_Lattices_Osemilattice__inf(T_a)->c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_y,V_z))=c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_y,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_z))).
% 7.34/7.36 all V_c V_b V_a T_a (class_Lattices_Osemilattice__inf(T_a)->c_Lattices_Osemilattice__inf__class_Oinf(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,V_b),V_c)=c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_b,V_c))).
% 7.34/7.36 all V_z V_y V_x T_a (class_Lattices_Olattice(T_a)->c_Lattices_Osemilattice__inf__class_Oinf(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y),V_z)=c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_y,V_z))).
% 7.34/7.36 all V_z V_y V_x T_a (class_Lattices_Osemilattice__inf(T_a)->c_Lattices_Osemilattice__inf__class_Oinf(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y),V_z)=c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_y,V_z))).
% 7.34/7.36 all V_x_2 V_g_2 V_f_2 T_b T_a (class_Lattices_Olattice(T_a)->hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,T_a),V_f_2,V_g_2),V_x_2)=c_Lattices_Osemilattice__inf__class_Oinf(T_a,hAPP(V_f_2,V_x_2),hAPP(V_g_2,V_x_2))).
% 7.34/7.36 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_B_2)).
% 7.34/7.36 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)).
% 7.34/7.36 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)).
% 7.34/7.36 all V_B_2 V_A_2 V_aa_2 T_a (c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_aa_2,V_A_2),c_Set_Oinsert(T_a,V_aa_2,V_B_2))=c_Set_Oinsert(T_a,V_aa_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))).
% 7.34/7.36 all V_C_2 V_B_2 V_A_2 T_a (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_A_2))=c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__inf__class_Oinf(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_B_2,V_C_2)),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_A_2))).
% 7.34/7.36 all V_A_2 V_C_2 V_B_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_B_2,V_C_2),V_A_2)=c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(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_C_2,V_A_2))).
% 7.34/7.36 all V_A_2 V_C_2 V_B_2 T_a (c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2),V_A_2)=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_B_2,V_A_2),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_A_2))).
% 7.34/7.36 all V_C_2 V_B_2 V_A_2 T_a (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2))=c_Lattices_Osemilattice__inf__class_Oinf(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_A_2,V_C_2))).
% 7.34/7.36 all V_C_2 V_B_2 V_A_2 T_a (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_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),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2))).
% 7.34/7.36 all V_B_2 V_A_2 V_R_2 T_b T_a (c_Relation_Osingle__valued(T_a,T_b,c_Relation_Oconverse(T_b,T_a,V_R_2))->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))).
% 7.34/7.36 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))).
% 7.34/7.36 all V_s_2 V_r_2 T_a T_b (c_Relation_Oconverse(T_b,T_a,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),V_r_2,V_s_2))=c_Lattices_Osemilattice__inf__class_Oinf(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))).
% 7.34/7.36 all V_s_2 V_B_2 V_r_2 V_A_2 T_a (c_Relation_Orefl__on(T_a,V_A_2,V_r_2)-> (c_Relation_Orefl__on(T_a,V_B_2,V_s_2)->c_Relation_Orefl__on(T_a,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,V_s_2)))).
% 7.34/7.36 all V_B_2 V_A_2 T_a (c_Relation_OImage(T_a,T_a,c_Relation_OId__on(T_a,V_A_2),V_B_2)=c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)).
% 7.34/7.36 all V_A_2 T_a (c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_A_2)=V_A_2).
% 7.34/7.36 all V_B_2 V_A_2 T_a (c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)=c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2)).
% 7.34/7.36 all V_B_2 V_A_2 T_a (c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))=c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)).
% 7.34/7.36 all V_C_2 V_B_2 V_A_2 T_a (c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2))=c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_B_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2))).
% 7.34/7.36 all V_C_2 V_B_2 V_A_2 T_a (c_Lattices_Osemilattice__inf__class_Oinf(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__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2))).
% 7.34/7.36 all V_x_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_x_2))->hBOOL(hAPP(V_A_2,V_x_2))).
% 7.34/7.36 all V_x_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_x_2))->hBOOL(hAPP(V_B_2,V_x_2))).
% 7.34/7.36 all V_A_2 T_a (c_Relation_OImage(T_a,T_a,c_Relation_OId(T_a),V_A_2)=V_A_2).
% 7.34/7.36 all V_B_2 T_a (c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),V_B_2)=V_B_2).
% 7.34/7.36 all V_A_2 T_a (c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))=V_A_2).
% 7.34/7.36 all V_y_2 V_x_2 T_a (class_Lattices_Obounded__lattice__top(T_a)-> (c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x_2,V_y_2)=c_Orderings_Otop__class_Otop(T_a)<->V_x_2=c_Orderings_Otop__class_Otop(T_a)&V_y_2=c_Orderings_Otop__class_Otop(T_a))).
% 7.34/7.36 all V_x T_a (class_Lattices_Obounded__lattice__top(T_a)->c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,c_Orderings_Otop__class_Otop(T_a))=V_x).
% 7.34/7.36 all V_x T_a (class_Lattices_Obounded__lattice__top(T_a)->c_Lattices_Osemilattice__inf__class_Oinf(T_a,c_Orderings_Otop__class_Otop(T_a),V_x)=V_x).
% 7.34/7.36 all V_r_H_2 V_r_2 T_a (c_Wellfounded_Owf(T_a,V_r_2)->c_Wellfounded_Owf(T_a,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,V_r_H_2))).
% 7.34/7.36 all V_r_H_2 V_r_2 T_a (c_Wellfounded_Owf(T_a,V_r_2)->c_Wellfounded_Owf(T_a,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_H_2,V_r_2))).
% 7.34/7.36 all V_B_2 V_A_2 V_aa_2 T_a ((c_member(T_a,V_aa_2,V_A_2)->c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_aa_2,V_B_2))=c_Set_Oinsert(T_a,V_aa_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)))& (-c_member(T_a,V_aa_2,V_A_2)->c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_aa_2,V_B_2))=c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))).
% 7.34/7.36 all V_B_2 V_C_2 V_aa_2 T_a ((c_member(T_a,V_aa_2,V_C_2)->c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_aa_2,V_B_2),V_C_2)=c_Set_Oinsert(T_a,V_aa_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)))& (-c_member(T_a,V_aa_2,V_C_2)->c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_aa_2,V_B_2),V_C_2)=c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2))).
% 7.34/7.36 all V_B_2 V_A_2 V_aa_2 T_a (-c_member(T_a,V_aa_2,V_A_2)->c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_aa_2,V_B_2))=c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)).
% 7.34/7.36 all V_B_2 V_C_2 V_aa_2 T_a (-c_member(T_a,V_aa_2,V_C_2)->c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_aa_2,V_B_2),V_C_2)=c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)).
% 7.34/7.36 all V_B_2 V_A_2 V_aa_2 T_a (c_member(T_a,V_aa_2,V_A_2)->c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_aa_2,V_B_2))=c_Set_Oinsert(T_a,V_aa_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))).
% 7.34/7.36 all V_B_2 V_C_2 V_aa_2 T_a (c_member(T_a,V_aa_2,V_C_2)->c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_aa_2,V_B_2),V_C_2)=c_Set_Oinsert(T_a,V_aa_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2))).
% 7.34/7.36 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))).
% 7.34/7.36 all V_A_2 V_r_2 T_b V_ba_2 T_a (c_member(T_a,V_ba_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_ba_2),V_r_2)))).
% 7.34/7.36 all V_r_2 V_ba_2 T_b V_A_2 V_aa_2 T_a (c_member(T_a,V_aa_2,V_A_2)-> (c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2),V_r_2)->c_member(T_b,V_ba_2,c_Relation_OImage(T_a,T_b,V_r_2,V_A_2)))).
% 7.34/7.36 all V_ba_2 V_aa_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_aa_2,c_Relation_OField(T_a,V_r_2))-> (c_member(T_a,V_ba_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_aa_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_ba_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))<->V_aa_2=V_ba_2))))).
% 7.34/7.36 all V_ba_2 V_aa_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_aa_2,c_Relation_OField(T_a,V_r_2))-> (c_member(T_a,V_ba_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_aa_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_ba_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))<->V_aa_2=V_ba_2)))).
% 7.34/7.36 all V_A_2 V_r_2 T_b V_ba_2 T_a (c_member(T_a,V_ba_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_ba_2),V_r_2)-> -c_member(T_b,B_x,V_A_2)))).
% 7.34/7.36 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)).
% 7.34/7.36 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))).
% 7.34/7.36 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)).
% 7.34/7.36 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))).
% 7.34/7.36 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)).
% 7.34/7.36 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))).
% 7.34/7.36 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)).
% 7.34/7.36 all V_ba_2 V_aa_2 V_x_2 V_r_2 V_A_2 T_a (c_Equiv__Relations_Oe_quiv(T_a,V_A_2,V_r_2)-> (c_member(T_a,V_x_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_aa_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_ba_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_aa_2,V_ba_2),V_r_2))).
% 7.34/7.36 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)).
% 7.34/7.36 all V_aa_2 V_r_2 V_A_2 T_a (c_Equiv__Relations_Oe_quiv(T_a,V_A_2,V_r_2)-> (c_member(T_a,V_aa_2,V_A_2)->c_member(T_a,V_aa_2,c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_aa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))))).
% 7.34/7.36 all V_ba_2 V_aa_2 V_r_2 V_A_2 T_a (c_Equiv__Relations_Oe_quiv(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_aa_2,V_ba_2),V_r_2)->c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_aa_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_ba_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))).
% 7.34/7.36 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))).
% 7.34/7.36 all V_A_2 V_ba_2 V_aa_2 V_r_2 T_a (c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_aa_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_ba_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))-> (c_Equiv__Relations_Oe_quiv(T_a,V_A_2,V_r_2)-> (c_member(T_a,V_ba_2,V_A_2)->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),V_r_2)))).
% 7.34/7.36 all V_y_2 V_x_2 V_r_2 V_A_2 T_a (c_Equiv__Relations_Oe_quiv(T_a,V_A_2,V_r_2)-> (c_member(T_a,V_x_2,V_A_2)-> (c_member(T_a,V_y_2,V_A_2)-> (c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_x_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_y_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_x_2,V_y_2),V_r_2))))).
% 7.34/7.36 all V_y_2 V_x_2 V_r_2 V_A_2 T_a (c_Equiv__Relations_Oe_quiv(T_a,V_A_2,V_r_2)-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),V_r_2)<->c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_x_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_y_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))&c_member(T_a,V_x_2,V_A_2)&c_member(T_a,V_y_2,V_A_2))).
% 7.34/7.36 all V_ba_2 V_aa_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_aa_2,c_Relation_OField(T_a,V_r_2))-> (c_member(T_a,V_ba_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_aa_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_ba_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_ba_2,V_aa_2),V_r_2))))).
% 7.34/7.36 all V_y_2 V_x_2 V_r_2 V_A_2 T_a (c_Equiv__Relations_Oe_quiv(T_a,V_A_2,V_r_2)-> (c_member(T_a,V_x_2,V_A_2)-> (c_member(T_a,V_y_2,V_A_2)-> (c_Equiv__Relations_Oquotient(T_a,c_Set_Oinsert(T_a,V_x_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_r_2)=c_Equiv__Relations_Oquotient(T_a,c_Set_Oinsert(T_a,V_y_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_r_2)<->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),V_r_2))))).
% 7.34/7.36 all V_x T_a (class_Orderings_Opreorder(T_a)->c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_x)).
% 7.34/7.36 all V_B_2 V_A_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)-> (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2)->V_A_2=V_B_2)).
% 7.34/7.36 all V_c_2 V_B_2 V_A_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)-> (c_member(T_a,V_c_2,V_A_2)->c_member(T_a,V_c_2,V_B_2))).
% 7.34/7.36 all V_A_2 T_a c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_A_2).
% 7.34/7.36 all V_r_2 T_a (c_Equiv__Relations_Oquotient(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_r_2)=c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))).
% 7.34/7.36 all V_r_2 V_A_2 T_a (c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))=c_Equiv__Relations_Oquotient(T_a,V_A_2,V_r_2)<->V_A_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))).
% 7.34/7.36 all V_r_2 V_A_2 T_a (c_Equiv__Relations_Oquotient(T_a,V_A_2,V_r_2)=c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))<->V_A_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))).
% 7.34/7.36 all V_S_2 V_R_2 T_a c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(T_a,V_R_2),c_Transitive__Closure_Ortrancl(T_a,V_S_2)),c_Transitive__Closure_Ortrancl(T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_R_2,V_S_2))).
% 7.34/7.36 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)).
% 7.34/7.36 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)).
% 7.34/7.36 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)).
% 7.34/7.36 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)).
% 7.34/7.36 all V_y_2 V_x_2 T_a (class_Lattices_Osemilattice__inf(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,V_y_2)<->c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x_2,V_y_2)=V_x_2)).
% 7.34/7.36 all V_z_2 V_y_2 V_x_2 T_a (class_Lattices_Osemilattice__inf(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_y_2,V_z_2))<->c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,V_y_2)&c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,V_z_2))).
% 7.34/7.36 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))).
% 7.34/7.36 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))).
% 7.34/7.36 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)).
% 7.34/7.36 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)).
% 7.34/7.36 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))))).
% 7.34/7.36 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))))).
% 7.34/7.36 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))))).
% 7.34/7.36 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)))).
% 7.34/7.36 all V_B_2 V_A_2 T_a c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_A_2).
% 7.34/7.36 all V_B_2 V_A_2 T_a c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_B_2).
% 7.34/7.36 all V_B_2 V_A_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)->c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)=V_A_2).
% 7.34/7.36 all V_A_2 V_B_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2)->c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)=V_B_2).
% 7.34/7.36 all V_B_2 V_A_2 V_C_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_A_2)-> (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_B_2)->c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_C_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)))).
% 7.34/7.36 all V_D_2 V_B_2 V_C_2 V_A_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2)-> (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_D_2)->c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_D_2)))).
% 7.34/7.36 all V_B_2 V_A_2 V_x_2 T_a (-c_member(T_a,V_x_2,V_A_2)-> (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_x_2,V_B_2))<->c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))).
% 7.34/7.36 all V_B_2 V_A_2 V_x_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_x_2,V_A_2),V_B_2)<->c_member(T_a,V_x_2,V_B_2)&c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)).
% 7.34/7.36 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)))).
% 7.34/7.36 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)))).
% 7.34/7.36 all V_x_2 V_A_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_x_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))->V_A_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))|V_A_2=c_Set_Oinsert(T_a,V_x_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))).
% 7.34/7.36 all V_C_2 V_B_2 V_A_2 T_a (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__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)).
% 7.34/7.36 all V_s_2 V_r_2 V_p_2 T_a (c_member(tc_prod(T_a,T_a),V_p_2,c_Transitive__Closure_Otrancl(T_a,V_r_2))-> (c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,V_s_2)->c_member(tc_prod(T_a,T_a),V_p_2,c_Transitive__Closure_Otrancl(T_a,V_s_2)))).
% 7.34/7.36 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))).
% 7.34/7.36 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)))).
% 7.34/7.36 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))))).
% 7.34/7.36 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)))).
% 7.34/7.36 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)))).
% 7.34/7.36 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)).
% 7.34/7.36 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)).
% 7.34/7.36 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)))).
% 7.34/7.36 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)))).
% 7.34/7.36 all V_z_2 V_y_2 V_x_2 T_a (class_Lattices_Osemilattice__sup(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x_2,V_y_2),V_z_2)<->c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,V_z_2)&c_Orderings_Oord__class_Oless__e_q(T_a,V_y_2,V_z_2))).
% 7.34/7.36 all V_y_2 V_x_2 T_a (class_Lattices_Osemilattice__sup(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,V_y_2)<->c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x_2,V_y_2)=V_y_2)).
% 7.34/7.36 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))).
% 7.34/7.36 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))).
% 7.34/7.36 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))).
% 7.34/7.36 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))).
% 7.34/7.36 all V_s_2 V_r_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,V_s_2)->c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Relation_OField(T_a,V_r_2),c_Relation_OField(T_a,V_s_2))).
% 7.34/7.36 all V_x_2 V_B_2 V_A_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)-> (c_member(T_a,V_x_2,V_A_2)->c_member(T_a,V_x_2,V_B_2))).
% 7.34/7.36 all V_B_2 V_A_2 V_x_2 T_a (c_member(T_a,V_x_2,V_A_2)-> (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)->c_member(T_a,V_x_2,V_B_2))).
% 7.34/7.36 all V_x_2 V_B_2 V_A_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)-> (c_member(T_a,V_x_2,V_A_2)->c_member(T_a,V_x_2,V_B_2))).
% 7.34/7.36 all V_aa_2 V_D_2 V_C_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_D_2)->c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_aa_2,V_C_2),c_Set_Oinsert(T_a,V_aa_2,V_D_2))).
% 7.34/7.36 all V_ba_2 V_B_2 V_A_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)->c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_ba_2,V_B_2))).
% 7.34/7.36 all V_aa_2 V_B_2 T_a c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,c_Set_Oinsert(T_a,V_aa_2,V_B_2)).
% 7.34/7.36 all V_D_2 V_B_2 V_C_2 V_A_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2)-> (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_D_2)->c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_D_2)))).
% 7.34/7.36 all V_B_2 V_C_2 V_A_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2)-> (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)->c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_C_2))).
% 7.34/7.36 all V_A_2 V_B_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2)->c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)=V_A_2).
% 7.34/7.36 all V_B_2 V_A_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)->c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)=V_B_2).
% 7.34/7.36 all V_B_2 V_A_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)<->c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)=V_B_2).
% 7.34/7.36 all V_A_2 V_B_2 T_a c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)).
% 7.34/7.36 all V_B_2 V_A_2 T_a c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)).
% 7.34/7.36 all V_s_2 V_r_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,V_s_2)->c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(T_a,V_r_2),c_Transitive__Closure_Ortrancl(T_a,V_s_2))).
% 7.34/7.36 all V_S_2 V_R_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_R_2,V_S_2)-> (c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_S_2,c_Transitive__Closure_Ortrancl(T_a,V_R_2))->c_Transitive__Closure_Ortrancl(T_a,V_S_2)=c_Transitive__Closure_Ortrancl(T_a,V_R_2))).
% 7.34/7.36 all V_s_2 V_r_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,c_Transitive__Closure_Ortrancl(T_a,V_s_2))->c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(T_a,V_r_2),c_Transitive__Closure_Ortrancl(T_a,V_s_2))).
% 7.34/7.36 all V_R2_2 V_R1_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_R1_2,V_R2_2)->c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Wellfounded_Oacc(T_a,V_R2_2),c_Wellfounded_Oacc(T_a,V_R1_2))).
% 7.34/7.36 all V_A_2 T_a c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_A_2).
% 7.34/7.36 all T_a V_B_2 V_A_2 (V_A_2=V_B_2<->c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)&c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2)).
% 7.34/7.36 all T_a V_B_2 V_A_2 (V_A_2=V_B_2->c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)).
% 7.34/7.36 all T_a V_B_2 V_A_2 (V_A_2=V_B_2->c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2)).
% 7.34/7.36 all V_C_2 V_B_2 V_A_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)-> (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)->c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2))).
% 7.34/7.36 all T_a V_B_2 V_A_2 (V_A_2=V_B_2-> -(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)-> -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2))).
% 7.34/7.36 all V_Q_2 T_a V_x_2 V_Pa_2 (hBOOL(hAPP(V_Pa_2,V_x_2))-> (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_Pa_2,V_Q_2)->hBOOL(hAPP(V_Q_2,V_x_2)))).
% 7.34/7.36 all V_x_2 V_Q_2 V_Pa_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_Pa_2,V_Q_2)-> (hBOOL(hAPP(V_Pa_2,V_x_2))->hBOOL(hAPP(V_Q_2,V_x_2)))).
% 7.34/7.36 all V_s_2 V_r_2 T_b T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),V_r_2,V_s_2)->c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Relation_ODomain(T_a,T_b,V_r_2),c_Relation_ODomain(T_a,T_b,V_s_2))).
% 7.34/7.36 all V_s_2 V_r_2 T_b T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),V_r_2,V_s_2)-> (c_Relation_Osingle__valued(T_a,T_b,V_s_2)->c_Relation_Osingle__valued(T_a,T_b,V_r_2))).
% 7.34/7.36 all V_r_2 V_s_2 T_a (c_Wellfounded_Oacyclic(T_a,V_s_2)-> (c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,V_s_2)->c_Wellfounded_Oacyclic(T_a,V_r_2))).
% 7.34/7.36 all V_s_2 V_r_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,V_s_2)-> (c_Relation_Oantisym(T_a,V_s_2)->c_Relation_Oantisym(T_a,V_r_2))).
% 7.34/7.36 all V_p_2 V_r_2 T_a (c_Wellfounded_Owf(T_a,V_r_2)-> (c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_p_2,V_r_2)->c_Wellfounded_Owf(T_a,V_p_2))).
% 7.34/7.36 all V_g_2 V_f_2 T_a T_b (class_Orderings_Oord(T_b)-> (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,T_b),V_f_2,V_g_2)<-> (all B_x c_Orderings_Oord__class_Oless__e_q(T_b,hAPP(V_f_2,B_x),hAPP(V_g_2,B_x))))).
% 7.34/7.36 all V_y V_x T_a (class_Orderings_Olinorder(T_a)->c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y)|c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_x)).
% 7.34/7.36 all V_y_2 V_x_2 T_a (class_Orderings_Oorder(T_a)-> (V_x_2=V_y_2<->c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,V_y_2)&c_Orderings_Oord__class_Oless__e_q(T_a,V_y_2,V_x_2))).
% 7.34/7.36 all V_y V_x T_a (class_Orderings_Opreorder(T_a)-> (V_x=V_y->c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y))).
% 7.34/7.36 all V_x_2 V_g_2 V_f_2 T_a T_b (class_Orderings_Oord(T_b)-> (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,T_b),V_f_2,V_g_2)->c_Orderings_Oord__class_Oless__e_q(T_b,hAPP(V_f_2,V_x_2),hAPP(V_g_2,V_x_2)))).
% 7.34/7.36 all V_x_2 V_y_2 T_a (class_Orderings_Oorder(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_y_2,V_x_2)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,V_y_2)<->V_x_2=V_y_2))).
% 7.34/7.36 all V_c V_b V_a T_a (class_Orderings_Oord(T_a)-> (V_a=V_b-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_b,V_c)->c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_c)))).
% 7.34/7.36 all V_c V_b V_a T_a (class_Orderings_Oorder(T_a)-> (V_a=V_b-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_c,V_b)->c_Orderings_Oord__class_Oless__e_q(T_a,V_c,V_a)))).
% 7.34/7.36 all V_c V_b V_a T_a (class_Orderings_Oord(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_b)-> (V_b=V_c->c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_c)))).
% 7.34/7.36 all V_c V_a V_b T_a (class_Orderings_Oorder(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_b,V_a)-> (V_b=V_c->c_Orderings_Oord__class_Oless__e_q(T_a,V_c,V_a)))).
% 7.34/7.36 all V_y V_x T_a (class_Orderings_Oorder(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_x)->V_x=V_y))).
% 7.34/7.36 all V_z V_y V_x T_a (class_Orderings_Opreorder(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_z)->c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_z)))).
% 7.34/7.36 all V_x V_y T_a (class_Orderings_Oorder(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_x)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y)->V_x=V_y))).
% 7.34/7.36 all V_z V_x V_y T_a (class_Orderings_Oorder(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_x)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_z,V_y)->c_Orderings_Oord__class_Oless__e_q(T_a,V_z,V_x)))).
% 7.34/7.36 all V_x_2 V_g_2 V_f_2 T_a T_b (class_Orderings_Oord(T_b)-> (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,T_b),V_f_2,V_g_2)->c_Orderings_Oord__class_Oless__e_q(T_b,hAPP(V_f_2,V_x_2),hAPP(V_g_2,V_x_2)))).
% 7.34/7.36 all V_y V_x T_a (class_Orderings_Olinorder(T_a)-> (-c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y)->c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_x))).
% 7.34/7.36 all V_A_2 T_a c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))).
% 7.34/7.36 all V_x T_a (class_Orderings_Otop(T_a)->c_Orderings_Oord__class_Oless__e_q(T_a,V_x,c_Orderings_Otop__class_Otop(T_a))).
% 7.34/7.37 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)))).
% 7.34/7.37 all V_A_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))<->V_A_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))).
% 7.34/7.37 all V_B_2 T_a V_A_2 (V_A_2=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))->c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_A_2,V_B_2)).
% 7.34/7.37 all V_x T_a (class_Orderings_Obot(T_a)->c_Orderings_Oord__class_Oless__e_q(T_a,c_Orderings_Obot__class_Obot(T_a),V_x)).
% 7.34/7.37 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).
% 7.34/7.37 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)))).
% 7.34/7.37 all V_B_2 V_A_2 T_b T_a c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Relation_ODomain(T_a,T_b,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,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_ODomain(T_a,T_b,V_A_2),c_Relation_ODomain(T_a,T_b,V_B_2))).
% 7.34/7.37 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))).
% 7.34/7.37 all V_r_2 V_x_2 T_a (c_Equiv__Relations_Oquotient(T_a,c_Set_Oinsert(T_a,V_x_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_r_2)=c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool),c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_x_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)))).
% 7.34/7.37 all V_Y_2 V_X_2 V_r_2 V_A_2 T_a (c_Equiv__Relations_Oe_quiv(T_a,V_A_2,V_r_2)-> (c_member(tc_fun(T_a,tc_HOL_Obool),V_X_2,c_Equiv__Relations_Oquotient(T_a,V_A_2,V_r_2))-> (c_member(tc_fun(T_a,tc_HOL_Obool),V_Y_2,c_Equiv__Relations_Oquotient(T_a,V_A_2,V_r_2))->V_X_2=V_Y_2|c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_X_2,V_Y_2)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))).
% 7.34/7.37 all V_r_2 V_A_2 V_x_2 T_a (c_member(T_a,V_x_2,V_A_2)->c_member(tc_fun(T_a,tc_HOL_Obool),c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_x_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),c_Equiv__Relations_Oquotient(T_a,V_A_2,V_r_2))).
% 7.34/7.37 all V_ba_2 V_aa_2 V_r_2 V_A_2 T_a (c_Equiv__Relations_Oe_quiv(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_aa_2,V_ba_2),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_aa_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_ba_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))))).
% 7.34/7.37 all V_y_2 V_x_2 V_Y_2 V_X_2 V_r_2 V_A_2 T_a (c_Equiv__Relations_Oe_quiv(T_a,V_A_2,V_r_2)-> (c_member(tc_fun(T_a,tc_HOL_Obool),V_X_2,c_Equiv__Relations_Oquotient(T_a,V_A_2,V_r_2))-> (c_member(tc_fun(T_a,tc_HOL_Obool),V_Y_2,c_Equiv__Relations_Oquotient(T_a,V_A_2,V_r_2))-> (c_member(T_a,V_x_2,V_X_2)-> (c_member(T_a,V_y_2,V_Y_2)-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),V_r_2)->V_X_2=V_Y_2)))))).
% 7.34/7.37 all V_y_2 V_x_2 V_Y_2 V_X_2 V_r_2 V_A_2 T_a (c_Equiv__Relations_Oe_quiv(T_a,V_A_2,V_r_2)-> (c_member(tc_fun(T_a,tc_HOL_Obool),V_X_2,c_Equiv__Relations_Oquotient(T_a,V_A_2,V_r_2))-> (c_member(tc_fun(T_a,tc_HOL_Obool),V_Y_2,c_Equiv__Relations_Oquotient(T_a,V_A_2,V_r_2))-> (c_member(T_a,V_x_2,V_X_2)-> (c_member(T_a,V_y_2,V_Y_2)-> (V_X_2=V_Y_2<->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),V_r_2))))))).
% 7.34/7.37 all V_aa_2 V_ba_2 V_r_2 V_A_2 T_a (c_Equiv__Relations_Oe_quiv(T_a,V_A_2,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_ba_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_aa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))-> (c_member(T_a,V_ba_2,V_A_2)->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),V_r_2)))).
% 7.34/7.37 class_Lattices_Obounded__lattice(tc_HOL_Obool).
% 7.34/7.37 all T_2 T_1 (class_Lattices_Obounded__lattice(T_1)->class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))).
% 7.34/7.37 all T_2 T_1 (class_Lattices_Obounded__lattice(T_1)->class_Lattices_Obounded__lattice__top(tc_fun(T_2,T_1))).
% 7.34/7.37 all T_2 T_1 (class_Lattices_Obounded__lattice(T_1)->class_Lattices_Obounded__lattice__bot(tc_fun(T_2,T_1))).
% 7.34/7.37 all T_2 T_1 (class_Lattices_Olattice(T_1)->class_Lattices_Osemilattice__sup(tc_fun(T_2,T_1))).
% 7.34/7.37 all T_2 T_1 (class_Lattices_Olattice(T_1)->class_Lattices_Osemilattice__inf(tc_fun(T_2,T_1))).
% 7.34/7.37 all T_2 T_1 (class_Lattices_Odistrib__lattice(T_1)->class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1))).
% 7.34/7.37 all T_2 T_1 (class_Orderings_Opreorder(T_1)->class_Orderings_Opreorder(tc_fun(T_2,T_1))).
% 7.34/7.37 all T_2 T_1 (class_Lattices_Olattice(T_1)->class_Lattices_Olattice(tc_fun(T_2,T_1))).
% 7.34/7.37 all T_2 T_1 (class_Orderings_Oorder(T_1)->class_Orderings_Oorder(tc_fun(T_2,T_1))).
% 7.34/7.37 all T_2 T_1 (class_Orderings_Otop(T_1)->class_Orderings_Otop(tc_fun(T_2,T_1))).
% 7.34/7.37 all T_2 T_1 (class_Orderings_Oord(T_1)->class_Orderings_Oord(tc_fun(T_2,T_1))).
% 7.34/7.37 all T_2 T_1 (class_Orderings_Obot(T_1)->class_Orderings_Obot(tc_fun(T_2,T_1))).
% 7.34/7.37 class_Lattices_Obounded__lattice__top(tc_HOL_Obool).
% 7.34/7.37 class_Lattices_Obounded__lattice__bot(tc_HOL_Obool).
% 7.34/7.37 class_Lattices_Osemilattice__sup(tc_HOL_Obool).
% 7.34/7.37 class_Lattices_Osemilattice__inf(tc_HOL_Obool).
% 7.34/7.37 class_Lattices_Odistrib__lattice(tc_HOL_Obool).
% 7.34/7.37 class_Orderings_Opreorder(tc_HOL_Obool).
% 7.34/7.37 class_Lattices_Olattice(tc_HOL_Obool).
% 7.34/7.37 class_Orderings_Oorder(tc_HOL_Obool).
% 7.34/7.37 class_Orderings_Otop(tc_HOL_Obool).
% 7.34/7.37 class_Orderings_Oord(tc_HOL_Obool).
% 7.34/7.37 class_Orderings_Obot(tc_HOL_Obool).
% 7.34/7.37 all V_y_2 V_x_2 (-hBOOL(hAPP(c_fe_qual(V_x_2),V_y_2))|V_x_2=V_y_2).
% 7.34/7.37 all V_y_2 V_x_2 (V_x_2!=V_y_2|hBOOL(hAPP(c_fe_qual(V_x_2),V_y_2))).
% 7.34/7.37 -(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))<->c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_F,v_P_H____))).
% 7.34/7.37 end_of_list.
% 7.34/7.37
% 7.34/7.37 -------> usable clausifies to:
% 7.34/7.37
% 7.34/7.37 list(usable).
% 7.34/7.37 0 [] A=A.
% 7.34/7.37 0 [] hAPP(V_f_2,$f1(V_g_2,V_f_2))!=hAPP(V_g_2,$f1(V_g_2,V_f_2))|V_f_2=V_g_2.
% 7.34/7.37 0 [] c_Arrow__Order__Mirabelle_OIIA(v_F).
% 7.34/7.37 0 [] c_Arrow__Order__Mirabelle_Ounanimity(v_F).
% 7.34/7.37 0 [] v_a____!=v_b____.
% 7.34/7.37 0 [] v_a____!=v_b_H____.
% 7.34/7.37 0 [] v_b____!=v_a_H____.
% 7.34/7.37 0 [] v_a_H____!=v_b_H____.
% 7.34/7.37 0 [] -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,B_i))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_P_H____,B_i)).
% 7.34/7.37 0 [] c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,B_i))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_P_H____,B_i)).
% 7.34/7.37 0 [] c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf).
% 7.34/7.37 0 [] c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf).
% 7.34/7.37 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).
% 7.34/7.37 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).
% 7.34/7.37 0 [] -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Omkbot(V_L_2,V_z_2))|V_y_2!=V_z_2.
% 7.34/7.37 0 [] -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Omkbot(V_L_2,V_z_2))|V_x_2!=V_z_2|V_x_2!=V_y_2.
% 7.34/7.37 0 [] -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Omkbot(V_L_2,V_z_2))|V_x_2=V_z_2|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),V_L_2).
% 7.34/7.37 0 [] c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Omkbot(V_L_2,V_z_2))|V_y_2=V_z_2|V_x_2=V_z_2| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),V_L_2).
% 7.34/7.37 0 [] c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Omkbot(V_L_2,V_z_2))|V_y_2=V_z_2|V_x_2=V_y_2|V_x_2!=V_z_2.
% 7.34/7.37 0 [] c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Omkbot(V_L_2,V_z_2))|V_y_2=V_z_2|V_x_2=V_y_2| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),V_L_2).
% 7.34/7.37 0 [] -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Omktop(V_L_2,V_z_2))|V_x_2!=V_z_2.
% 7.34/7.37 0 [] -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Omktop(V_L_2,V_z_2))|V_y_2!=V_z_2|V_x_2!=V_y_2.
% 7.34/7.37 0 [] -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Omktop(V_L_2,V_z_2))|V_y_2=V_z_2|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),V_L_2).
% 7.34/7.37 0 [] c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Omktop(V_L_2,V_z_2))|V_x_2=V_z_2|V_y_2=V_z_2| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),V_L_2).
% 7.34/7.37 0 [] c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Omktop(V_L_2,V_z_2))|V_x_2=V_z_2|V_x_2=V_y_2|V_y_2!=V_z_2.
% 7.34/7.37 0 [] c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Omktop(V_L_2,V_z_2))|V_x_2=V_z_2|V_x_2=V_y_2| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),V_L_2).
% 7.34/7.37 0 [] V_aa_2=V_ba_2|V_a_Ha_2=V_b_Ha_2|V_aa_2=V_b_Ha_2|V_ba_2=V_a_Ha_2| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_Pa_2,c_Arrow__Order__Mirabelle_OProf)| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_P_Ha_2,c_Arrow__Order__Mirabelle_OProf)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(V_Pa_2,$f2(V_P_Ha_2,V_Pa_2,V_b_Ha_2,V_a_Ha_2,V_ba_2,V_aa_2)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_a_Ha_2,V_b_Ha_2),hAPP(V_P_Ha_2,$f2(V_P_Ha_2,V_Pa_2,V_b_Ha_2,V_a_Ha_2,V_ba_2,V_aa_2)))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(v_F,V_Pa_2))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_a_Ha_2,V_b_Ha_2),hAPP(v_F,V_P_Ha_2)).
% 7.34/7.37 0 [] V_aa_2=V_ba_2|V_a_Ha_2=V_b_Ha_2|V_aa_2=V_b_Ha_2|V_ba_2=V_a_Ha_2| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_Pa_2,c_Arrow__Order__Mirabelle_OProf)| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_P_Ha_2,c_Arrow__Order__Mirabelle_OProf)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(V_Pa_2,$f2(V_P_Ha_2,V_Pa_2,V_b_Ha_2,V_a_Ha_2,V_ba_2,V_aa_2)))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_a_Ha_2,V_b_Ha_2),hAPP(V_P_Ha_2,$f2(V_P_Ha_2,V_Pa_2,V_b_Ha_2,V_a_Ha_2,V_ba_2,V_aa_2)))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(v_F,V_Pa_2))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_a_Ha_2,V_b_Ha_2),hAPP(v_F,V_P_Ha_2)).
% 7.34/7.37 0 [] -hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_a,T_b,V_R_2),V_x_2),V_y_2))|c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_x_2,V_y_2),V_R_2).
% 7.34/7.37 0 [] hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_a,T_b,V_R_2),V_x_2),V_y_2))| -c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_x_2,V_y_2),V_R_2).
% 7.34/7.37 0 [] -hBOOL(hAPP(V_Pa_2,V_x_2))| -c_member(tc_prod(T_b,T_b),c_Product__Type_OPair(T_b,T_b,V_y_H_2,V_y_2),hAPP(V_R_2,V_x_2))|c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_x_2,V_y_H_2),c_Product__Type_OPair(T_a,T_b,V_x_2,V_y_2)),c_Recdef_Osame__fst(T_a,T_b,V_Pa_2,V_R_2)).
% 7.34/7.37 0 [] -c_Nitpick_Orefl_H(T_a,V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_x),V_r_2).
% 7.34/7.37 0 [] c_Nitpick_Orefl_H(T_a,V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f3(V_r_2,T_a),$f3(V_r_2,T_a)),V_r_2).
% 7.34/7.37 0 [] -hBOOL(hAPP(V_Pa_2,$f4(T_b,T_a,V_Pa_2)))|hBOOL(hAPP(V_Pa_2,c_Product__Type_OPair(T_a,T_b,B_a,B_b))).
% 7.34/7.37 0 [] hBOOL(hAPP(V_Pa_2,B_x1))| -hBOOL(hAPP(V_Pa_2,c_Product__Type_OPair(T_a,T_b,$f6(T_b,T_a,V_Pa_2),$f5(T_b,T_a,V_Pa_2)))).
% 7.34/7.37 0 [] c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2)!=c_Product__Type_OPair(T_a,T_b,V_a_Ha_2,V_b_Ha_2)|V_aa_2=V_a_Ha_2.
% 7.34/7.37 0 [] c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2)!=c_Product__Type_OPair(T_a,T_b,V_a_Ha_2,V_b_Ha_2)|V_ba_2=V_b_Ha_2.
% 7.34/7.37 0 [] c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2)=c_Product__Type_OPair(T_a,T_b,V_a_Ha_2,V_b_Ha_2)|V_aa_2!=V_a_Ha_2|V_ba_2!=V_b_Ha_2.
% 7.34/7.37 0 [] c_Product__Type_OPair(T_a,T_b,V_a,V_b)!=c_Product__Type_OPair(T_a,T_b,V_a_H,V_b_H)|V_a=V_a_H.
% 7.34/7.37 0 [] c_Product__Type_OPair(T_a,T_b,V_a,V_b)!=c_Product__Type_OPair(T_a,T_b,V_a_H,V_b_H)|V_b=V_b_H.
% 7.34/7.37 0 [] V_aa_2!=V_ba_2| -c_member(T_a,V_ba_2,V_A_2)|c_member(T_a,V_aa_2,V_A_2).
% 7.34/7.37 0 [] V_x_2!=V_y_2| -c_member(T_a,V_x_2,V_A_2)|c_member(T_a,V_y_2,V_A_2).
% 7.34/7.37 0 [] V_x_2!=V_y_2|c_member(T_a,V_x_2,V_A_2)| -c_member(T_a,V_y_2,V_A_2).
% 7.34/7.37 0 [] V_A_2!=V_B_2| -c_member(T_a,V_x_2,V_A_2)|c_member(T_a,V_x_2,V_B_2).
% 7.34/7.37 0 [] V_A_2!=V_B_2|c_member(T_a,V_x_2,V_A_2)| -c_member(T_a,V_x_2,V_B_2).
% 7.34/7.37 0 [] -c_member(T_a,V_x_2,V_A_2)|hBOOL(hAPP(V_A_2,V_x_2)).
% 7.34/7.37 0 [] c_member(T_a,V_x_2,V_A_2)| -hBOOL(hAPP(V_A_2,V_x_2)).
% 7.34/7.37 0 [] c_Product__Type_Oprod_Oprod__rec(T_b,T_c,T_a,V_f1_2,c_Product__Type_OPair(T_b,T_c,V_aa_2,V_ba_2))=hAPP(hAPP(V_f1_2,V_aa_2),V_ba_2).
% 7.34/7.37 0 [] -c_Arrow__Order__Mirabelle_OIIA(V_Fa_2)| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),B_x,c_Arrow__Order__Mirabelle_OProf)| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),B_xa,c_Arrow__Order__Mirabelle_OProf)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_a,B_b),hAPP(B_x,$f7(V_Fa_2,B_x,B_xa,B_a,B_b)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_a,B_b),hAPP(B_xa,$f7(V_Fa_2,B_x,B_xa,B_a,B_b)))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_a,B_b),hAPP(V_Fa_2,B_x))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_a,B_b),hAPP(V_Fa_2,B_xa)).
% 7.34/7.37 0 [] -c_Arrow__Order__Mirabelle_OIIA(V_Fa_2)| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),B_x,c_Arrow__Order__Mirabelle_OProf)| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),B_xa,c_Arrow__Order__Mirabelle_OProf)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_a,B_b),hAPP(B_x,$f7(V_Fa_2,B_x,B_xa,B_a,B_b)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_a,B_b),hAPP(B_xa,$f7(V_Fa_2,B_x,B_xa,B_a,B_b)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_a,B_b),hAPP(V_Fa_2,B_x))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_a,B_b),hAPP(V_Fa_2,B_xa)).
% 7.34/7.37 0 [] -c_Arrow__Order__Mirabelle_OIIA(V_Fa_2)| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),B_x,c_Arrow__Order__Mirabelle_OProf)| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),B_xa,c_Arrow__Order__Mirabelle_OProf)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_a,B_b),hAPP(B_x,$f7(V_Fa_2,B_x,B_xa,B_a,B_b)))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_a,B_b),hAPP(B_xa,$f7(V_Fa_2,B_x,B_xa,B_a,B_b)))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_a,B_b),hAPP(V_Fa_2,B_x))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_a,B_b),hAPP(V_Fa_2,B_xa)).
% 7.34/7.37 0 [] -c_Arrow__Order__Mirabelle_OIIA(V_Fa_2)| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),B_x,c_Arrow__Order__Mirabelle_OProf)| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),B_xa,c_Arrow__Order__Mirabelle_OProf)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_a,B_b),hAPP(B_x,$f7(V_Fa_2,B_x,B_xa,B_a,B_b)))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_a,B_b),hAPP(B_xa,$f7(V_Fa_2,B_x,B_xa,B_a,B_b)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_a,B_b),hAPP(V_Fa_2,B_x))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_a,B_b),hAPP(V_Fa_2,B_xa)).
% 7.34/7.37 0 [] c_Arrow__Order__Mirabelle_OIIA(V_Fa_2)|c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),$f11(V_Fa_2),c_Arrow__Order__Mirabelle_OProf).
% 7.34/7.37 0 [] c_Arrow__Order__Mirabelle_OIIA(V_Fa_2)|c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),$f10(V_Fa_2),c_Arrow__Order__Mirabelle_OProf).
% 7.34/7.37 0 [] c_Arrow__Order__Mirabelle_OIIA(V_Fa_2)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,$f9(V_Fa_2),$f8(V_Fa_2)),hAPP($f11(V_Fa_2),B_i))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,$f9(V_Fa_2),$f8(V_Fa_2)),hAPP($f10(V_Fa_2),B_i)).
% 7.34/7.37 0 [] c_Arrow__Order__Mirabelle_OIIA(V_Fa_2)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,$f9(V_Fa_2),$f8(V_Fa_2)),hAPP($f11(V_Fa_2),B_i))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,$f9(V_Fa_2),$f8(V_Fa_2)),hAPP($f10(V_Fa_2),B_i)).
% 7.34/7.37 0 [] c_Arrow__Order__Mirabelle_OIIA(V_Fa_2)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,$f9(V_Fa_2),$f8(V_Fa_2)),hAPP(V_Fa_2,$f11(V_Fa_2)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,$f9(V_Fa_2),$f8(V_Fa_2)),hAPP(V_Fa_2,$f10(V_Fa_2))).
% 7.34/7.37 0 [] c_Arrow__Order__Mirabelle_OIIA(V_Fa_2)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,$f9(V_Fa_2),$f8(V_Fa_2)),hAPP(V_Fa_2,$f11(V_Fa_2)))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,$f9(V_Fa_2),$f8(V_Fa_2)),hAPP(V_Fa_2,$f10(V_Fa_2))).
% 7.34/7.37 0 [] -c_Arrow__Order__Mirabelle_Ounanimity(V_Fa_2)| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),B_x,c_Arrow__Order__Mirabelle_OProf)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_a,B_b),hAPP(B_x,$f12(V_Fa_2,B_x,B_a,B_b)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_a,B_b),hAPP(V_Fa_2,B_x)).
% 7.34/7.37 0 [] c_Arrow__Order__Mirabelle_Ounanimity(V_Fa_2)|c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),$f15(V_Fa_2),c_Arrow__Order__Mirabelle_OProf).
% 7.34/7.37 0 [] c_Arrow__Order__Mirabelle_Ounanimity(V_Fa_2)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,$f14(V_Fa_2),$f13(V_Fa_2)),hAPP($f15(V_Fa_2),B_i)).
% 7.34/7.37 0 [] c_Arrow__Order__Mirabelle_Ounanimity(V_Fa_2)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,$f14(V_Fa_2),$f13(V_Fa_2)),hAPP(V_Fa_2,$f15(V_Fa_2))).
% 7.34/7.37 0 [] -c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2),c_Product__Type_OPair(T_a,T_b,V_a_Ha_2,V_b_Ha_2)),c_Wellfounded_Olex__prod(T_a,T_b,V_r_2,V_s_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_a_Ha_2),V_r_2)|V_aa_2=V_a_Ha_2.
% 7.34/7.37 0 [] -c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2),c_Product__Type_OPair(T_a,T_b,V_a_Ha_2,V_b_Ha_2)),c_Wellfounded_Olex__prod(T_a,T_b,V_r_2,V_s_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_a_Ha_2),V_r_2)|c_member(tc_prod(T_b,T_b),c_Product__Type_OPair(T_b,T_b,V_ba_2,V_b_Ha_2),V_s_2).
% 7.34/7.37 0 [] c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2),c_Product__Type_OPair(T_a,T_b,V_a_Ha_2,V_b_Ha_2)),c_Wellfounded_Olex__prod(T_a,T_b,V_r_2,V_s_2))| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_a_Ha_2),V_r_2).
% 7.34/7.37 0 [] c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2),c_Product__Type_OPair(T_a,T_b,V_a_Ha_2,V_b_Ha_2)),c_Wellfounded_Olex__prod(T_a,T_b,V_r_2,V_s_2))|V_aa_2!=V_a_Ha_2| -c_member(tc_prod(T_b,T_b),c_Product__Type_OPair(T_b,T_b,V_ba_2,V_b_Ha_2),V_s_2).
% 7.34/7.37 0 [] -c_Arrow__Order__Mirabelle_Odictator(V_Fa_2,V_i_2)| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),B_x,c_Arrow__Order__Mirabelle_OProf)|hAPP(V_Fa_2,B_x)=hAPP(B_x,V_i_2).
% 7.34/7.37 0 [] c_Arrow__Order__Mirabelle_Odictator(V_Fa_2,V_i_2)|c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),$f16(V_i_2,V_Fa_2),c_Arrow__Order__Mirabelle_OProf).
% 7.34/7.37 0 [] c_Arrow__Order__Mirabelle_Odictator(V_Fa_2,V_i_2)|hAPP(V_Fa_2,$f16(V_i_2,V_Fa_2))!=hAPP($f16(V_i_2,V_Fa_2),V_i_2).
% 7.34/7.37 0 [] c_Product__Type_Ointernal__split(T_b,T_c,T_a,V_c_2,c_Product__Type_OPair(T_b,T_c,V_aa_2,V_ba_2))=hAPP(hAPP(V_c_2,V_aa_2),V_ba_2).
% 7.34/7.37 0 [] -c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,V_a1_2,hAPP(hAPP(V_Fa_2,V_a2_2),V_a1_2))|hAPP(hAPP(V_Fa_2,V_a2_2),V_a1_2)=hAPP(hAPP(V_Fa_2,$f17(V_a2_2,V_a1_2,V_Fa_2,V_R_2,T_b,T_a)),V_a1_2).
% 7.34/7.37 0 [] -c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,V_a1_2,hAPP(hAPP(V_Fa_2,V_a2_2),V_a1_2))| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_z,V_a1_2),V_R_2)|c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,B_z,hAPP($f17(V_a2_2,V_a1_2,V_Fa_2,V_R_2,T_b,T_a),B_z)).
% 7.34/7.37 0 [] c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,V_a1_2,hAPP(hAPP(V_Fa_2,V_a2_2),V_a1_2))|hAPP(hAPP(V_Fa_2,V_a2_2),V_a1_2)!=hAPP(hAPP(V_Fa_2,B_g),V_a1_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f18(V_a2_2,V_a1_2,V_Fa_2,V_R_2,T_b,T_a,B_g),V_a1_2),V_R_2).
% 7.34/7.37 0 [] c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,V_a1_2,hAPP(hAPP(V_Fa_2,V_a2_2),V_a1_2))|hAPP(hAPP(V_Fa_2,V_a2_2),V_a1_2)!=hAPP(hAPP(V_Fa_2,B_g),V_a1_2)| -c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,$f18(V_a2_2,V_a1_2,V_Fa_2,V_R_2,T_b,T_a,B_g),hAPP(B_g,$f18(V_a2_2,V_a1_2,V_Fa_2,V_R_2,T_b,T_a,B_g))).
% 7.34/7.37 0 [] -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),V_L_2,c_Arrow__Order__Mirabelle_OLin)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),V_L_2)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_ba_2,V_aa_2),V_L_2).
% 7.34/7.37 0 [] -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),V_L_2,c_Arrow__Order__Mirabelle_OLin)|V_x_2=V_y_2|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),V_L_2)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_y_2,V_x_2),V_L_2).
% 7.34/7.37 0 [] -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),V_L_2,c_Arrow__Order__Mirabelle_OLin)|V_x_2=V_y_2| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),V_L_2)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_y_2,V_x_2),V_L_2).
% 7.34/7.37 0 [] -hBOOL(hAPP(V_f_2,c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2)))|hBOOL(c_Product__Type_Ocurry(T_a,T_b,tc_HOL_Obool,V_f_2,V_aa_2,V_ba_2)).
% 7.34/7.37 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_aa_2),V_r_2)|hAPP(c_Recdef_Ocut(T_a,T_b,V_f_2,V_r_2,V_aa_2),V_x_2)=hAPP(V_f_2,V_x_2).
% 7.34/7.37 0 [] -hBOOL(c_Product__Type_Ocurry(T_a,T_b,tc_HOL_Obool,V_f_2,V_aa_2,V_ba_2))|hBOOL(hAPP(V_f_2,c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2))).
% 7.34/7.37 0 [] -hBOOL(c_Product__Type_Ocurry(T_a,T_b,tc_HOL_Obool,V_f_2,V_aa_2,V_ba_2))|hBOOL(hAPP(V_f_2,c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2))).
% 7.34/7.37 0 [] c_Product__Type_Ocurry(T_b,T_c,T_a,V_f_2,V_aa_2,V_ba_2)=hAPP(V_f_2,c_Product__Type_OPair(T_b,T_c,V_aa_2,V_ba_2)).
% 7.34/7.37 0 [] -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),V_L_2,c_Arrow__Order__Mirabelle_OLin)|c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_Omktop(V_L_2,V_x_2),c_Arrow__Order__Mirabelle_OLin).
% 7.34/7.37 0 [] -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),V_L_2,c_Arrow__Order__Mirabelle_OLin)|c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_Omkbot(V_L_2,V_x_2),c_Arrow__Order__Mirabelle_OLin).
% 7.34/7.37 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_aa_2),B_R)|hAPP(c_Recdef_Ocut(T_a,T_b,B_f,B_R,V_aa_2),V_x_2)=hAPP(B_f,V_x_2).
% 7.34/7.37 0 [] c_Recdef_Ocut(T_a,T_b,V_f_2,V_r_2,V_x_2)!=c_Recdef_Ocut(T_a,T_b,V_g_2,V_r_2,V_x_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_y,V_x_2),V_r_2)|hAPP(V_f_2,B_y)=hAPP(V_g_2,B_y).
% 7.34/7.37 0 [] c_Recdef_Ocut(T_a,T_b,V_f_2,V_r_2,V_x_2)=c_Recdef_Ocut(T_a,T_b,V_g_2,V_r_2,V_x_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f19(V_g_2,V_x_2,V_r_2,V_f_2,T_b,T_a),V_x_2),V_r_2).
% 7.34/7.37 0 [] c_Recdef_Ocut(T_a,T_b,V_f_2,V_r_2,V_x_2)=c_Recdef_Ocut(T_a,T_b,V_g_2,V_r_2,V_x_2)|hAPP(V_f_2,$f19(V_g_2,V_x_2,V_r_2,V_f_2,T_b,T_a))!=hAPP(V_g_2,$f19(V_g_2,V_x_2,V_r_2,V_f_2,T_b,T_a)).
% 7.34/7.37 0 [] V_aa_2=V_ba_2| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),V_L_2,c_Arrow__Order__Mirabelle_OLin)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Oabove(V_L_2,V_aa_2,V_ba_2))|V_x_2!=V_y_2.
% 7.34/7.37 0 [] V_aa_2=V_ba_2| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),V_L_2,c_Arrow__Order__Mirabelle_OLin)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Oabove(V_L_2,V_aa_2,V_ba_2))|V_x_2!=V_ba_2|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_y_2),V_L_2).
% 7.34/7.37 0 [] V_aa_2=V_ba_2| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),V_L_2,c_Arrow__Order__Mirabelle_OLin)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Oabove(V_L_2,V_aa_2,V_ba_2))|V_x_2=V_ba_2|V_y_2!=V_ba_2|V_x_2=V_aa_2|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_aa_2),V_L_2).
% 7.34/7.37 0 [] V_aa_2=V_ba_2| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),V_L_2,c_Arrow__Order__Mirabelle_OLin)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Oabove(V_L_2,V_aa_2,V_ba_2))|V_x_2=V_ba_2|V_y_2=V_ba_2|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),V_L_2).
% 7.34/7.37 0 [] V_aa_2=V_ba_2| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),V_L_2,c_Arrow__Order__Mirabelle_OLin)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Oabove(V_L_2,V_aa_2,V_ba_2))|V_x_2=V_y_2|V_x_2=V_ba_2|V_y_2=V_ba_2| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),V_L_2).
% 7.34/7.37 0 [] V_aa_2=V_ba_2| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),V_L_2,c_Arrow__Order__Mirabelle_OLin)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Oabove(V_L_2,V_aa_2,V_ba_2))|V_x_2=V_y_2|V_x_2=V_ba_2|V_x_2!=V_aa_2|V_y_2!=V_ba_2.
% 7.34/7.37 0 [] V_aa_2=V_ba_2| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),V_L_2,c_Arrow__Order__Mirabelle_OLin)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Oabove(V_L_2,V_aa_2,V_ba_2))|V_x_2=V_y_2|V_x_2=V_ba_2|V_x_2!=V_aa_2| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),V_L_2).
% 7.34/7.37 0 [] V_aa_2=V_ba_2| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),V_L_2,c_Arrow__Order__Mirabelle_OLin)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Oabove(V_L_2,V_aa_2,V_ba_2))|V_x_2=V_y_2|V_x_2=V_ba_2| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_aa_2),V_L_2)|V_y_2!=V_ba_2.
% 7.34/7.37 0 [] V_aa_2=V_ba_2| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),V_L_2,c_Arrow__Order__Mirabelle_OLin)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Oabove(V_L_2,V_aa_2,V_ba_2))|V_x_2=V_y_2|V_x_2=V_ba_2| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_aa_2),V_L_2)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),V_L_2).
% 7.34/7.37 0 [] V_aa_2=V_ba_2| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),V_L_2,c_Arrow__Order__Mirabelle_OLin)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Oabove(V_L_2,V_aa_2,V_ba_2))|V_x_2=V_y_2| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_y_2),V_L_2)|V_x_2!=V_ba_2.
% 7.34/7.37 0 [] V_aa_2=V_ba_2| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),V_L_2,c_Arrow__Order__Mirabelle_OLin)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Oabove(V_L_2,V_aa_2,V_ba_2))|V_x_2=V_y_2| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_y_2),V_L_2)|V_y_2=V_ba_2| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),V_L_2).
% 7.34/7.37 0 [] V_aa_2=V_ba_2| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),V_L_2,c_Arrow__Order__Mirabelle_OLin)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Oabove(V_L_2,V_aa_2,V_ba_2))|V_x_2=V_y_2| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_y_2),V_L_2)|V_x_2!=V_aa_2|V_y_2!=V_ba_2.
% 7.34/7.37 0 [] V_aa_2=V_ba_2| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),V_L_2,c_Arrow__Order__Mirabelle_OLin)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Oabove(V_L_2,V_aa_2,V_ba_2))|V_x_2=V_y_2| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_y_2),V_L_2)|V_x_2!=V_aa_2| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),V_L_2).
% 7.34/7.37 0 [] V_aa_2=V_ba_2| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),V_L_2,c_Arrow__Order__Mirabelle_OLin)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Oabove(V_L_2,V_aa_2,V_ba_2))|V_x_2=V_y_2| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_y_2),V_L_2)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_aa_2),V_L_2)|V_y_2!=V_ba_2.
% 7.34/7.37 0 [] V_aa_2=V_ba_2| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),V_L_2,c_Arrow__Order__Mirabelle_OLin)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Oabove(V_L_2,V_aa_2,V_ba_2))|V_x_2=V_y_2| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_y_2),V_L_2)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_aa_2),V_L_2)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),V_L_2).
% 7.34/7.37 0 [] V_aa_2=V_ba_2| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),V_L_2,c_Arrow__Order__Mirabelle_OLin)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Obelow(V_L_2,V_aa_2,V_ba_2))|V_x_2!=V_y_2.
% 7.34/7.37 0 [] V_aa_2=V_ba_2| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),V_L_2,c_Arrow__Order__Mirabelle_OLin)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Obelow(V_L_2,V_aa_2,V_ba_2))|V_y_2!=V_aa_2|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_ba_2),V_L_2).
% 7.34/7.37 0 [] V_aa_2=V_ba_2| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),V_L_2,c_Arrow__Order__Mirabelle_OLin)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Obelow(V_L_2,V_aa_2,V_ba_2))|V_y_2=V_aa_2|V_x_2!=V_aa_2|V_y_2=V_ba_2|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_ba_2,V_y_2),V_L_2).
% 7.34/7.37 0 [] V_aa_2=V_ba_2| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),V_L_2,c_Arrow__Order__Mirabelle_OLin)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Obelow(V_L_2,V_aa_2,V_ba_2))|V_y_2=V_aa_2|V_x_2=V_aa_2|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),V_L_2).
% 7.34/7.37 0 [] V_aa_2=V_ba_2| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),V_L_2,c_Arrow__Order__Mirabelle_OLin)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Obelow(V_L_2,V_aa_2,V_ba_2))|V_x_2=V_y_2|V_y_2=V_aa_2|V_x_2=V_aa_2| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),V_L_2).
% 7.34/7.37 0 [] V_aa_2=V_ba_2| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),V_L_2,c_Arrow__Order__Mirabelle_OLin)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Obelow(V_L_2,V_aa_2,V_ba_2))|V_x_2=V_y_2|V_y_2=V_aa_2|V_y_2!=V_ba_2|V_x_2!=V_aa_2.
% 7.34/7.37 0 [] V_aa_2=V_ba_2| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),V_L_2,c_Arrow__Order__Mirabelle_OLin)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Obelow(V_L_2,V_aa_2,V_ba_2))|V_x_2=V_y_2|V_y_2=V_aa_2|V_y_2!=V_ba_2| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),V_L_2).
% 7.34/7.37 0 [] V_aa_2=V_ba_2| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),V_L_2,c_Arrow__Order__Mirabelle_OLin)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Obelow(V_L_2,V_aa_2,V_ba_2))|V_x_2=V_y_2|V_y_2=V_aa_2| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_ba_2,V_y_2),V_L_2)|V_x_2!=V_aa_2.
% 7.34/7.37 0 [] V_aa_2=V_ba_2| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),V_L_2,c_Arrow__Order__Mirabelle_OLin)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Obelow(V_L_2,V_aa_2,V_ba_2))|V_x_2=V_y_2|V_y_2=V_aa_2| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_ba_2,V_y_2),V_L_2)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),V_L_2).
% 7.34/7.37 0 [] V_aa_2=V_ba_2| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),V_L_2,c_Arrow__Order__Mirabelle_OLin)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Obelow(V_L_2,V_aa_2,V_ba_2))|V_x_2=V_y_2| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_ba_2),V_L_2)|V_y_2!=V_aa_2.
% 7.34/7.37 0 [] V_aa_2=V_ba_2| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),V_L_2,c_Arrow__Order__Mirabelle_OLin)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Obelow(V_L_2,V_aa_2,V_ba_2))|V_x_2=V_y_2| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_ba_2),V_L_2)|V_x_2=V_aa_2| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),V_L_2).
% 7.34/7.37 0 [] V_aa_2=V_ba_2| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),V_L_2,c_Arrow__Order__Mirabelle_OLin)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Obelow(V_L_2,V_aa_2,V_ba_2))|V_x_2=V_y_2| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_ba_2),V_L_2)|V_y_2!=V_ba_2|V_x_2!=V_aa_2.
% 7.34/7.37 0 [] V_aa_2=V_ba_2| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),V_L_2,c_Arrow__Order__Mirabelle_OLin)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Obelow(V_L_2,V_aa_2,V_ba_2))|V_x_2=V_y_2| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_ba_2),V_L_2)|V_y_2!=V_ba_2| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),V_L_2).
% 7.34/7.37 0 [] V_aa_2=V_ba_2| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),V_L_2,c_Arrow__Order__Mirabelle_OLin)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Obelow(V_L_2,V_aa_2,V_ba_2))|V_x_2=V_y_2| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_ba_2),V_L_2)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_ba_2,V_y_2),V_L_2)|V_x_2!=V_aa_2.
% 7.34/7.37 0 [] V_aa_2=V_ba_2| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),V_L_2,c_Arrow__Order__Mirabelle_OLin)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Obelow(V_L_2,V_aa_2,V_ba_2))|V_x_2=V_y_2| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_ba_2),V_L_2)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_ba_2,V_y_2),V_L_2)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),V_L_2).
% 7.34/7.38 0 [] V_x_2=V_y_2| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),V_L_2,c_Arrow__Order__Mirabelle_OLin)|c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_Oabove(V_L_2,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_OLin).
% 7.34/7.38 0 [] V_x_2=V_y_2| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),V_L_2,c_Arrow__Order__Mirabelle_OLin)|c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_Obelow(V_L_2,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_OLin).
% 7.34/7.38 0 [] V_aa_2=V_ba_2|c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),$f20(V_ba_2,V_aa_2),c_Arrow__Order__Mirabelle_OLin).
% 7.34/7.38 0 [] V_aa_2=V_ba_2|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),$f20(V_ba_2,V_aa_2)).
% 7.34/7.38 0 [] -c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,V_a1_2,V_a2_2)|V_a2_2=hAPP(hAPP(V_Fa_2,$f21(V_a2_2,V_a1_2,V_Fa_2,V_R_2,T_b,T_a)),V_a1_2).
% 7.34/7.38 0 [] -c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,V_a1_2,V_a2_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_z,V_a1_2),V_R_2)|c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,B_z,hAPP($f21(V_a2_2,V_a1_2,V_Fa_2,V_R_2,T_b,T_a),B_z)).
% 7.34/7.38 0 [] c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,V_a1_2,V_a2_2)|V_a2_2!=hAPP(hAPP(V_Fa_2,B_g),V_a1_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f22(V_a2_2,V_a1_2,V_Fa_2,V_R_2,T_b,T_a,B_g),V_a1_2),V_R_2).
% 7.34/7.38 0 [] c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,V_a1_2,V_a2_2)|V_a2_2!=hAPP(hAPP(V_Fa_2,B_g),V_a1_2)| -c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,$f22(V_a2_2,V_a1_2,V_Fa_2,V_R_2,T_b,T_a,B_g),hAPP(B_g,$f22(V_a2_2,V_a1_2,V_Fa_2,V_R_2,T_b,T_a,B_g))).
% 7.34/7.38 0 [] c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f23(V_g_2,V_Fa_2,T_b,V_R_2,V_x_2,T_a),V_x_2),V_R_2)|c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,V_x_2,hAPP(hAPP(V_Fa_2,V_g_2),V_x_2)).
% 7.34/7.38 0 [] -c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,$f23(V_g_2,V_Fa_2,T_b,V_R_2,V_x_2,T_a),hAPP(V_g_2,$f23(V_g_2,V_Fa_2,T_b,V_R_2,V_x_2,T_a)))|c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,V_x_2,hAPP(hAPP(V_Fa_2,V_g_2),V_x_2)).
% 7.34/7.38 0 [] -c_member(T_a,V_aa_2,c_Wellfounded_Oacc(T_a,V_r_2))| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,V_aa_2),V_r_2)|c_member(T_a,B_x,c_Wellfounded_Oacc(T_a,V_r_2)).
% 7.34/7.38 0 [] c_member(T_a,V_aa_2,c_Wellfounded_Oacc(T_a,V_r_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f24(V_r_2,V_aa_2,T_a),V_aa_2),V_r_2).
% 7.34/7.38 0 [] c_member(T_a,V_aa_2,c_Wellfounded_Oacc(T_a,V_r_2))| -c_member(T_a,$f24(V_r_2,V_aa_2,T_a),c_Wellfounded_Oacc(T_a,V_r_2)).
% 7.34/7.38 0 [] -c_member(T_a,V_ba_2,c_Wellfounded_Oacc(T_a,V_r_2))| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),V_r_2)|c_member(T_a,V_aa_2,c_Wellfounded_Oacc(T_a,V_r_2)).
% 7.34/7.38 0 [] c_Nitpick_Owf__wfrec_H(T_b,T_a,V_R_2,V_Fa_2,V_x_2)=hAPP(hAPP(V_Fa_2,c_Recdef_Ocut(T_b,T_a,c_Nitpick_Owf__wfrec(T_b,T_a,V_R_2,V_Fa_2),V_R_2,V_x_2)),V_x_2).
% 7.34/7.38 0 [] c_member(T_a,V_x_2,c_Wellfounded_Oacc(T_a,V_R_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f25(V_R_2,V_x_2,T_a),V_x_2),V_R_2).
% 7.34/7.38 0 [] c_member(T_a,V_x_2,c_Wellfounded_Oacc(T_a,V_R_2))| -c_member(T_a,$f25(V_R_2,V_x_2,T_a),c_Wellfounded_Oacc(T_a,V_R_2)).
% 7.34/7.38 0 [] c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f26(V_r_2,V_x_2,T_a),V_x_2),V_r_2)|c_member(T_a,V_x_2,c_Wellfounded_Oacc(T_a,V_r_2)).
% 7.34/7.38 0 [] -c_member(T_a,$f26(V_r_2,V_x_2,T_a),c_Wellfounded_Oacc(T_a,V_r_2))|c_member(T_a,V_x_2,c_Wellfounded_Oacc(T_a,V_r_2)).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ba_2,V_aa_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))| -c_member(T_a,V_aa_2,c_Wellfounded_Oacc(T_a,V_r_2))|c_member(T_a,V_ba_2,c_Wellfounded_Oacc(T_a,V_r_2)).
% 7.34/7.38 0 [] -c_member(T_a,V_aa_2,c_Wellfounded_Oacc(T_a,V_r_2))| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ba_2,V_aa_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))|c_member(T_a,V_ba_2,c_Wellfounded_Oacc(T_a,V_r_2)).
% 7.34/7.38 0 [] c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),$c1,c_Arrow__Order__Mirabelle_OLin).
% 7.34/7.38 0 [] -c_member(T_a,V_x_2,c_fe_qual(V_y_2))|V_x_2=V_y_2.
% 7.34/7.38 0 [] c_member(T_a,V_x_2,c_fe_qual(V_y_2))|V_x_2!=V_y_2.
% 7.34/7.38 0 [] -c_member(T_a,V_aa_2,V_A_2)| -c_member(T_b,V_ba_2,hAPP(V_B_2,V_aa_2))|c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2),c_Product__Type_OSigma(T_a,T_b,V_A_2,V_B_2)).
% 7.34/7.38 0 [] -c_Relation_Oirrefl(T_a,V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_x),V_r_2).
% 7.34/7.38 0 [] c_Relation_Oirrefl(T_a,V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f27(V_r_2,T_a),$f27(V_r_2,T_a)),V_r_2).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2),V_r_2)|c_member(T_b,V_ba_2,c_Relation_ORange(T_a,T_b,V_r_2)).
% 7.34/7.38 0 [] -c_member(T_a,V_aa_2,c_Relation_ORange(T_b,T_a,V_r_2))|c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,$f28(V_r_2,T_b,V_aa_2,T_a),V_aa_2),V_r_2).
% 7.34/7.38 0 [] c_member(T_a,V_aa_2,c_Relation_ORange(T_b,T_a,V_r_2))| -c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,B_y,V_aa_2),V_r_2).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2),c_Product__Type_OSigma(T_a,T_b,V_A_2,V_B_2))|c_member(T_a,V_aa_2,V_A_2).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2),c_Product__Type_OSigma(T_a,T_b,V_A_2,V_B_2))|c_member(T_b,V_ba_2,hAPP(V_B_2,V_aa_2)).
% 7.34/7.38 0 [] c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2),c_Product__Type_OSigma(T_a,T_b,V_A_2,V_B_2))| -c_member(T_a,V_aa_2,V_A_2)| -c_member(T_b,V_ba_2,hAPP(V_B_2,V_aa_2)).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2),c_Product__Type_OSigma(T_a,T_b,V_A_2,V_B_2))|c_member(T_a,V_aa_2,V_A_2).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2),c_Product__Type_OSigma(T_a,T_b,V_A_2,V_B_2))|c_member(T_b,V_ba_2,hAPP(V_B_2,V_aa_2)).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2),c_Product__Type_OSigma(T_a,T_b,V_A_2,V_B_2))|c_member(T_a,V_aa_2,V_A_2).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2),c_Product__Type_OSigma(T_a,T_b,V_A_2,V_B_2))|c_member(T_b,V_ba_2,hAPP(V_B_2,V_aa_2)).
% 7.34/7.38 0 [] c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_aa_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_a),V_p_2,V_r_2)|c_member(tc_prod(T_a,T_a),V_p_2,c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ba_2,V_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_aa_2,V_c_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ba_2,V_c_2),V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_c_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ba_2,V_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_aa_2,V_c_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 7.34/7.38 0 [] -c_member(T_a,V_ba_2,c_Relation_ORange(T_b,T_a,V_r_2))|c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,$f29(V_r_2,T_b,V_ba_2,T_a),V_ba_2),V_r_2).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_b),V_c_2,c_Product__Type_OSigma(T_a,T_b,V_A_2,V_B_2))|c_member(T_a,$f31(V_B_2,V_A_2,V_c_2,T_b,T_a),V_A_2).
% 7.34/7.38 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,$f30(V_B_2,V_A_2,V_c_2,T_b,T_a),hAPP(V_B_2,$f31(V_B_2,V_A_2,V_c_2,T_b,T_a))).
% 7.34/7.38 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,$f31(V_B_2,V_A_2,V_c_2,T_b,T_a),$f30(V_B_2,V_A_2,V_c_2,T_b,T_a)).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Relation_OId__on(T_a,V_A_2))|V_x_2=V_y_2.
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Relation_OId__on(T_a,V_A_2))|c_member(T_a,V_x_2,V_A_2).
% 7.34/7.38 0 [] c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Relation_OId__on(T_a,V_A_2))|V_x_2!=V_y_2| -c_member(T_a,V_x_2,V_A_2).
% 7.34/7.38 0 [] V_aa_2!=V_ba_2| -c_member(T_a,V_aa_2,V_A_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Relation_OId__on(T_a,V_A_2)).
% 7.34/7.38 0 [] c_Relation_ORange(T_a,T_a,c_Relation_OId__on(T_a,V_A_2))=V_A_2.
% 7.34/7.38 0 [] c_Transitive__Closure_Ortrancl(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2))=c_Transitive__Closure_Ortrancl(T_a,V_r_2).
% 7.34/7.38 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,$f32(V_A_2,V_c_2,T_a),V_A_2).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_a),V_c_2,c_Relation_OId__on(T_a,V_A_2))|V_c_2=c_Product__Type_OPair(T_a,T_a,$f32(V_A_2,V_c_2,T_a),$f32(V_A_2,V_c_2,T_a)).
% 7.34/7.38 0 [] -c_Relation_Osingle__valued(T_a,T_a,V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_z_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_y_2,V_z_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_z_2,V_y_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 7.34/7.38 0 [] c_member(T_a,V_x_2,c_Relation_ODomain(T_a,T_a,V_R_2))| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2))|V_x_2=V_y_2.
% 7.34/7.38 0 [] c_member(T_a,V_x_2,c_Relation_ODomain(T_a,T_a,V_R_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2))|V_x_2!=V_y_2.
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2),V_r_2)|c_member(T_a,V_aa_2,c_Relation_ODomain(T_a,T_b,V_r_2)).
% 7.34/7.38 0 [] -c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_ax_2,V_ay_2),c_Product__Type_OPair(T_a,T_b,V_bx_2,V_by_2)),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2))| -hBOOL(hAPP(hAPP(V_Pa_2,V_ax_2),V_ay_2))|c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_ax_2,V_ay_2),c_Product__Type_OPair(T_a,T_b,$f36(V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a),$f35(V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a))),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2))|hBOOL(hAPP(hAPP(V_Pa_2,V_bx_2),V_by_2)).
% 7.34/7.38 0 [] -c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_ax_2,V_ay_2),c_Product__Type_OPair(T_a,T_b,V_bx_2,V_by_2)),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2))| -hBOOL(hAPP(hAPP(V_Pa_2,V_ax_2),V_ay_2))|c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,$f36(V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a),$f35(V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a)),c_Product__Type_OPair(T_a,T_b,$f34(V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a),$f33(V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a))),V_r_2)|hBOOL(hAPP(hAPP(V_Pa_2,V_bx_2),V_by_2)).
% 7.34/7.38 0 [] -c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_ax_2,V_ay_2),c_Product__Type_OPair(T_a,T_b,V_bx_2,V_by_2)),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2))| -hBOOL(hAPP(hAPP(V_Pa_2,V_ax_2),V_ay_2))|hBOOL(hAPP(hAPP(V_Pa_2,$f36(V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a)),$f35(V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a)))|hBOOL(hAPP(hAPP(V_Pa_2,V_bx_2),V_by_2)).
% 7.34/7.38 0 [] -c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_ax_2,V_ay_2),c_Product__Type_OPair(T_a,T_b,V_bx_2,V_by_2)),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2))| -hBOOL(hAPP(hAPP(V_Pa_2,V_ax_2),V_ay_2))| -hBOOL(hAPP(hAPP(V_Pa_2,$f34(V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a)),$f33(V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a)))|hBOOL(hAPP(hAPP(V_Pa_2,V_bx_2),V_by_2)).
% 7.34/7.38 0 [] -c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_ax_2,V_ay_2),c_Product__Type_OPair(T_a,T_b,V_bx_2,V_by_2)),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2))| -hBOOL(hAPP(hAPP(V_Pa_2,V_bx_2),V_by_2))|c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,$f40(V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a),$f39(V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a)),c_Product__Type_OPair(T_a,T_b,$f38(V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a),$f37(V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a))),V_r_2)|hBOOL(hAPP(hAPP(V_Pa_2,V_ax_2),V_ay_2)).
% 7.34/7.38 0 [] -c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_ax_2,V_ay_2),c_Product__Type_OPair(T_a,T_b,V_bx_2,V_by_2)),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2))| -hBOOL(hAPP(hAPP(V_Pa_2,V_bx_2),V_by_2))|c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,$f38(V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a),$f37(V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a)),c_Product__Type_OPair(T_a,T_b,V_bx_2,V_by_2)),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2))|hBOOL(hAPP(hAPP(V_Pa_2,V_ax_2),V_ay_2)).
% 7.34/7.38 0 [] -c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_ax_2,V_ay_2),c_Product__Type_OPair(T_a,T_b,V_bx_2,V_by_2)),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2))| -hBOOL(hAPP(hAPP(V_Pa_2,V_bx_2),V_by_2))|hBOOL(hAPP(hAPP(V_Pa_2,$f38(V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a)),$f37(V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a)))|hBOOL(hAPP(hAPP(V_Pa_2,V_ax_2),V_ay_2)).
% 7.34/7.38 0 [] -c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_ax_2,V_ay_2),c_Product__Type_OPair(T_a,T_b,V_bx_2,V_by_2)),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2))| -hBOOL(hAPP(hAPP(V_Pa_2,V_bx_2),V_by_2))| -hBOOL(hAPP(hAPP(V_Pa_2,$f40(V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a)),$f39(V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a)))|hBOOL(hAPP(hAPP(V_Pa_2,V_ax_2),V_ay_2)).
% 7.34/7.38 0 [] -c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_xa_2,V_xb_2),c_Product__Type_OPair(T_a,T_b,V_za_2,V_zb_2)),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2))|c_Product__Type_OPair(T_a,T_b,V_xa_2,V_xb_2)=c_Product__Type_OPair(T_a,T_b,V_za_2,V_zb_2)|c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_xa_2,V_xb_2),c_Product__Type_OPair(T_a,T_b,$f42(V_r_2,V_zb_2,V_za_2,V_xb_2,V_xa_2,T_b,T_a),$f41(V_r_2,V_zb_2,V_za_2,V_xb_2,V_xa_2,T_b,T_a))),V_r_2).
% 7.34/7.38 0 [] -c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_xa_2,V_xb_2),c_Product__Type_OPair(T_a,T_b,V_za_2,V_zb_2)),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2))|c_Product__Type_OPair(T_a,T_b,V_xa_2,V_xb_2)=c_Product__Type_OPair(T_a,T_b,V_za_2,V_zb_2)|c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,$f42(V_r_2,V_zb_2,V_za_2,V_xb_2,V_xa_2,T_b,T_a),$f41(V_r_2,V_zb_2,V_za_2,V_xb_2,V_xa_2,T_b,T_a)),c_Product__Type_OPair(T_a,T_b,V_za_2,V_zb_2)),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2)).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))|V_aa_2=V_ba_2|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,$f43(V_r_2,V_ba_2,V_aa_2,T_a)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))|V_aa_2=V_ba_2|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f43(V_r_2,V_ba_2,V_aa_2,T_a),V_ba_2),V_r_2).
% 7.34/7.38 0 [] c_Relation_ODomain(T_a,T_a,c_Relation_OId__on(T_a,V_A_2))=V_A_2.
% 7.34/7.38 0 [] c_Relation_Osingle__valued(T_a,T_a,c_Relation_OId__on(T_a,V_A_2)).
% 7.34/7.38 0 [] -c_Relation_Osingle__valued(T_a,T_b,V_r_2)| -c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,B_x,B_y),V_r_2)| -c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,B_x,B_z),V_r_2)|B_y=B_z.
% 7.34/7.38 0 [] c_Relation_Osingle__valued(T_a,T_b,V_r_2)|c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,$f46(V_r_2,T_b,T_a),$f45(V_r_2,T_b,T_a)),V_r_2).
% 7.34/7.38 0 [] c_Relation_Osingle__valued(T_a,T_b,V_r_2)|c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,$f46(V_r_2,T_b,T_a),$f44(V_r_2,T_b,T_a)),V_r_2).
% 7.34/7.38 0 [] c_Relation_Osingle__valued(T_a,T_b,V_r_2)|$f45(V_r_2,T_b,T_a)!=$f44(V_r_2,T_b,T_a).
% 7.34/7.38 0 [] -c_Relation_Osingle__valued(T_a,T_b,V_r_2)| -c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_x_2,V_y_2),V_r_2)| -c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_x_2,V_z_2),V_r_2)|V_y_2=V_z_2.
% 7.34/7.38 0 [] -c_member(T_a,V_aa_2,c_Relation_ODomain(T_a,T_b,V_r_2))|c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,$f47(V_r_2,T_b,V_aa_2,T_a)),V_r_2).
% 7.34/7.38 0 [] c_member(T_a,V_aa_2,c_Relation_ODomain(T_a,T_b,V_r_2))| -c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,B_y),V_r_2).
% 7.34/7.38 0 [] -c_member(T_a,V_aa_2,c_Relation_ODomain(T_a,T_b,V_r_2))|c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,$f48(V_r_2,T_b,V_aa_2,T_a)),V_r_2).
% 7.34/7.38 0 [] c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,$f51(V_r_2,T_b,T_a),$f50(V_r_2,T_b,T_a)),V_r_2)|c_Relation_Osingle__valued(T_a,T_b,V_r_2).
% 7.34/7.38 0 [] c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,$f51(V_r_2,T_b,T_a),$f49(V_r_2,T_b,T_a)),V_r_2)|c_Relation_Osingle__valued(T_a,T_b,V_r_2).
% 7.34/7.38 0 [] $f50(V_r_2,T_b,T_a)!=$f49(V_r_2,T_b,T_a)|c_Relation_Osingle__valued(T_a,T_b,V_r_2).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))| -hBOOL(hAPP(V_Pa_2,V_aa_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,$f53(V_Pa_2,V_r_2,V_ba_2,V_aa_2,T_a)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))|hBOOL(hAPP(V_Pa_2,V_ba_2)).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))| -hBOOL(hAPP(V_Pa_2,V_aa_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f53(V_Pa_2,V_r_2,V_ba_2,V_aa_2,T_a),$f52(V_Pa_2,V_r_2,V_ba_2,V_aa_2,T_a)),V_r_2)|hBOOL(hAPP(V_Pa_2,V_ba_2)).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))| -hBOOL(hAPP(V_Pa_2,V_aa_2))|hBOOL(hAPP(V_Pa_2,$f53(V_Pa_2,V_r_2,V_ba_2,V_aa_2,T_a)))|hBOOL(hAPP(V_Pa_2,V_ba_2)).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))| -hBOOL(hAPP(V_Pa_2,V_aa_2))| -hBOOL(hAPP(V_Pa_2,$f52(V_Pa_2,V_r_2,V_ba_2,V_aa_2,T_a)))|hBOOL(hAPP(V_Pa_2,V_ba_2)).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))| -hBOOL(hAPP(V_Pa_2,V_ba_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f55(V_Pa_2,V_r_2,V_ba_2,V_aa_2,T_a),$f54(V_Pa_2,V_r_2,V_ba_2,V_aa_2,T_a)),V_r_2)|hBOOL(hAPP(V_Pa_2,V_aa_2)).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))| -hBOOL(hAPP(V_Pa_2,V_ba_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f54(V_Pa_2,V_r_2,V_ba_2,V_aa_2,T_a),V_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))|hBOOL(hAPP(V_Pa_2,V_aa_2)).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))| -hBOOL(hAPP(V_Pa_2,V_ba_2))|hBOOL(hAPP(V_Pa_2,$f54(V_Pa_2,V_r_2,V_ba_2,V_aa_2,T_a)))|hBOOL(hAPP(V_Pa_2,V_aa_2)).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))| -hBOOL(hAPP(V_Pa_2,V_ba_2))| -hBOOL(hAPP(V_Pa_2,$f55(V_Pa_2,V_r_2,V_ba_2,V_aa_2,T_a)))|hBOOL(hAPP(V_Pa_2,V_aa_2)).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_z_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))|V_x_2=V_z_2|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,$f56(V_r_2,V_z_2,V_x_2,T_a)),V_r_2).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_z_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))|V_x_2=V_z_2|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f56(V_r_2,V_z_2,V_x_2,T_a),V_z_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 7.34/7.38 0 [] -c_Relation_Ototal__on(T_a,V_A_2,V_r_2)| -c_member(T_a,B_x,V_A_2)| -c_member(T_a,B_xa,V_A_2)|B_x=B_xa|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_xa),V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_xa,B_x),V_r_2).
% 7.34/7.38 0 [] c_Relation_Ototal__on(T_a,V_A_2,V_r_2)|c_member(T_a,$f58(V_r_2,V_A_2,T_a),V_A_2).
% 7.34/7.38 0 [] c_Relation_Ototal__on(T_a,V_A_2,V_r_2)|c_member(T_a,$f57(V_r_2,V_A_2,T_a),V_A_2).
% 7.34/7.38 0 [] c_Relation_Ototal__on(T_a,V_A_2,V_r_2)|$f58(V_r_2,V_A_2,T_a)!=$f57(V_r_2,V_A_2,T_a).
% 7.34/7.38 0 [] c_Relation_Ototal__on(T_a,V_A_2,V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f58(V_r_2,V_A_2,T_a),$f57(V_r_2,V_A_2,T_a)),V_r_2).
% 7.34/7.38 0 [] c_Relation_Ototal__on(T_a,V_A_2,V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f57(V_r_2,V_A_2,T_a),$f58(V_r_2,V_A_2,T_a)),V_r_2).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Relation_Oinv__image(T_b,T_a,V_r_2,V_f_2))|c_member(tc_prod(T_b,T_b),c_Product__Type_OPair(T_b,T_b,hAPP(V_f_2,V_x_2),hAPP(V_f_2,V_y_2)),V_r_2).
% 7.34/7.38 0 [] c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Relation_Oinv__image(T_b,T_a,V_r_2,V_f_2))| -c_member(tc_prod(T_b,T_b),c_Product__Type_OPair(T_b,T_b,hAPP(V_f_2,V_x_2),hAPP(V_f_2,V_y_2)),V_r_2).
% 7.34/7.38 0 [] -c_Relation_Orefl__on(T_a,V_A_2,V_r_2)| -c_member(T_a,V_aa_2,V_A_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_aa_2),V_r_2).
% 7.34/7.38 0 [] c_Relation_Orefl__on(T_a,V_A_2,c_Relation_OId__on(T_a,V_A_2)).
% 7.34/7.38 0 [] -c_Relation_Orefl__on(T_a,V_A_2,V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),V_r_2)|c_member(T_a,V_y_2,V_A_2).
% 7.34/7.38 0 [] -c_Relation_Orefl__on(T_a,V_A_2,V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),V_r_2)|c_member(T_a,V_x_2,V_A_2).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 7.34/7.38 0 [] c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_aa_2),c_Relation_OId(T_a)).
% 7.34/7.38 0 [] -c_Relation_Oantisym(T_a,V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ba_2,V_aa_2),V_r_2)|V_aa_2=V_ba_2.
% 7.34/7.38 0 [] -c_Relation_Oantisym(T_a,V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_y),V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_y,B_x),V_r_2)|B_x=B_y.
% 7.34/7.38 0 [] c_Relation_Oantisym(T_a,V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f60(V_r_2,T_a),$f59(V_r_2,T_a)),V_r_2).
% 7.34/7.38 0 [] c_Relation_Oantisym(T_a,V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f59(V_r_2,T_a),$f60(V_r_2,T_a)),V_r_2).
% 7.34/7.38 0 [] c_Relation_Oantisym(T_a,V_r_2)|$f60(V_r_2,T_a)!=$f59(V_r_2,T_a).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Ortrancl(T_a,c_Relation_Oconverse(T_a,T_a,V_r_2)))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_y_2,V_x_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_y_2,V_x_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Ortrancl(T_a,c_Relation_Oconverse(T_a,T_a,V_r_2))).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_y_2,V_z_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_z_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)).
% 7.34/7.38 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)).
% 7.34/7.38 0 [] c_Relation_Oantisym(T_a,c_Relation_OId(T_a)).
% 7.34/7.38 0 [] c_Relation_Oconverse(T_a,T_a,c_Relation_OId(T_a))=c_Relation_OId(T_a).
% 7.34/7.38 0 [] c_Relation_Oconverse(T_b,T_a,c_Relation_Oconverse(T_a,T_b,V_r_2))=V_r_2.
% 7.34/7.38 0 [] -c_Relation_Oantisym(T_a,c_Relation_Oconverse(T_a,T_a,V_r_2))|c_Relation_Oantisym(T_a,V_r_2).
% 7.34/7.38 0 [] c_Relation_Oantisym(T_a,c_Relation_Oconverse(T_a,T_a,V_r_2))| -c_Relation_Oantisym(T_a,V_r_2).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Relation_Oconverse(T_a,T_a,c_Transitive__Closure_Otrancl(T_a,V_r_2)))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Otrancl(T_a,c_Relation_Oconverse(T_a,T_a,V_r_2))).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Otrancl(T_a,c_Relation_Oconverse(T_a,T_a,V_r_2)))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Relation_Oconverse(T_a,T_a,c_Transitive__Closure_Otrancl(T_a,V_r_2))).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_a),V_p_2,V_r_2)|c_member(tc_prod(T_a,T_a),V_p_2,c_Transitive__Closure_Otrancl(T_a,V_r_2)).
% 7.34/7.38 0 [] c_Transitive__Closure_Ortrancl(T_a,c_Transitive__Closure_Otrancl(T_a,V_R_2))=c_Transitive__Closure_Ortrancl(T_a,V_R_2).
% 7.34/7.38 0 [] c_Transitive__Closure_Otrancl(T_a,c_Transitive__Closure_Ortrancl(T_a,V_R_2))=c_Transitive__Closure_Ortrancl(T_a,V_R_2).
% 7.34/7.38 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)).
% 7.34/7.38 0 [] c_Relation_ODomain(T_a,T_a,c_Transitive__Closure_Otrancl(T_a,V_r_2))=c_Relation_ODomain(T_a,T_a,V_r_2).
% 7.34/7.38 0 [] c_Relation_ORange(T_a,T_a,c_Transitive__Closure_Otrancl(T_a,V_r_2))=c_Relation_ORange(T_a,T_a,V_r_2).
% 7.34/7.38 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).
% 7.34/7.38 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).
% 7.34/7.38 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).
% 7.34/7.38 0 [] c_Relation_Oconverse(T_a,T_a,c_Relation_Oinv__image(T_b,T_a,V_R_2,V_f_2))=c_Relation_Oinv__image(T_b,T_a,c_Relation_Oconverse(T_b,T_b,V_R_2),V_f_2).
% 7.34/7.38 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).
% 7.34/7.38 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).
% 7.34/7.38 0 [] c_Relation_Osingle__valued(T_a,T_a,c_Relation_OId(T_a)).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),V_R_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ba_2,V_c_2),V_R_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_c_2),c_Transitive__Closure_Otrancl(T_a,V_R_2)).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ba_2,V_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_aa_2,V_c_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ba_2,V_c_2),V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_c_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ba_2,V_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_aa_2,V_c_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2),c_Relation_Oconverse(T_b,T_a,V_r_2))|c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,V_ba_2,V_aa_2),V_r_2).
% 7.34/7.38 0 [] c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2),c_Relation_Oconverse(T_b,T_a,V_r_2))| -c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,V_ba_2,V_aa_2),V_r_2).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2),V_r_2)|c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,V_ba_2,V_aa_2),c_Relation_Oconverse(T_a,T_b,V_r_2)).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2),c_Relation_Oconverse(T_b,T_a,V_r_2))|c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,V_ba_2,V_aa_2),V_r_2).
% 7.34/7.38 0 [] c_Relation_Oantisym(T_a,c_Relation_OId__on(T_a,V_A_2)).
% 7.34/7.38 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).
% 7.34/7.38 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).
% 7.34/7.38 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)).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Relation_OId(T_a))|V_aa_2=V_ba_2.
% 7.34/7.38 0 [] c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Relation_OId(T_a))|V_aa_2!=V_ba_2.
% 7.34/7.38 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_L_2),c_Arrow__Order__Mirabelle_OLin)|c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),V_L_2,c_Arrow__Order__Mirabelle_OLin).
% 7.34/7.38 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_L_2),c_Arrow__Order__Mirabelle_OLin)| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),V_L_2,c_Arrow__Order__Mirabelle_OLin).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2))|V_x_2=V_y_2|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Otrancl(T_a,V_R_2)).
% 7.34/7.38 0 [] c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2))|V_x_2!=V_y_2.
% 7.34/7.38 0 [] c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2))|V_x_2=V_y_2| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Otrancl(T_a,V_R_2)).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ba_2,V_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_aa_2,V_c_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2))|V_aa_2=V_ba_2|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Otrancl(T_a,V_R_2)).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ba_2,V_c_2),V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_c_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ba_2,V_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_aa_2,V_c_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Otrancl(T_a,V_R_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,$f61(V_R_2,V_y_2,V_x_2,T_a)),V_R_2).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Otrancl(T_a,V_R_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f61(V_R_2,V_y_2,V_x_2,T_a),V_y_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2)).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Otrancl(T_a,V_R_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,$f62(V_R_2,V_y_2,V_x_2,T_a)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Otrancl(T_a,V_R_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f62(V_R_2,V_y_2,V_x_2,T_a),V_y_2),V_R_2).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_a),V_p_2,c_Relation_OId(T_a))|V_p_2=c_Product__Type_OPair(T_a,T_a,$f63(V_p_2,T_a),$f63(V_p_2,T_a)).
% 7.34/7.38 0 [] -c_Wellfounded_Oacyclic(T_a,V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_x),c_Transitive__Closure_Otrancl(T_a,V_r_2)).
% 7.34/7.38 0 [] c_Wellfounded_Oacyclic(T_a,V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f64(V_r_2,T_a),$f64(V_r_2,T_a)),c_Transitive__Closure_Otrancl(T_a,V_r_2)).
% 7.34/7.38 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,$f65(V_r_2,V_yx_2,T_b,T_a),$f66(V_r_2,V_yx_2,T_b,T_a)).
% 7.34/7.38 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,$f66(V_r_2,V_yx_2,T_b,T_a),$f65(V_r_2,V_yx_2,T_b,T_a)),V_r_2).
% 7.34/7.38 0 [] c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f68(V_r_2,T_a),$f67(V_r_2,T_a)),V_r_2)|c_Relation_Oantisym(T_a,V_r_2).
% 7.34/7.38 0 [] c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f67(V_r_2,T_a),$f68(V_r_2,T_a)),V_r_2)|c_Relation_Oantisym(T_a,V_r_2).
% 7.34/7.38 0 [] $f68(V_r_2,T_a)!=$f67(V_r_2,T_a)|c_Relation_Oantisym(T_a,V_r_2).
% 7.34/7.38 0 [] c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f69(V_y_2,V_x_2,V_r_2,T_a),$f69(V_y_2,V_x_2,V_r_2,T_a)),c_Transitive__Closure_Otrancl(T_a,V_r_2))| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),V_r_2)|V_x_2!=V_y_2.
% 7.34/7.38 0 [] -c_Wellfounded_Oacyclic(T_a,c_Relation_Oconverse(T_a,T_a,V_r_2))|c_Wellfounded_Oacyclic(T_a,V_r_2).
% 7.34/7.38 0 [] c_Wellfounded_Oacyclic(T_a,c_Relation_Oconverse(T_a,T_a,V_r_2))| -c_Wellfounded_Oacyclic(T_a,V_r_2).
% 7.34/7.38 0 [] -c_Wellfounded_Oacyclic(T_a,V_r_2)|c_Relation_Oantisym(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 7.34/7.38 0 [] c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f70(V_r_2,T_a),$f70(V_r_2,T_a)),c_Transitive__Closure_Otrancl(T_a,V_r_2))|c_Wellfounded_Oacyclic(T_a,V_r_2).
% 7.34/7.38 0 [] -c_Wellfounded_Oacyclic(T_a,c_Set_Oinsert(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_y_2,V_x_2),V_r_2))|c_Wellfounded_Oacyclic(T_a,V_r_2).
% 7.34/7.38 0 [] -c_Wellfounded_Oacyclic(T_a,c_Set_Oinsert(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_y_2,V_x_2),V_r_2))| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 7.34/7.38 0 [] c_Wellfounded_Oacyclic(T_a,c_Set_Oinsert(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_y_2,V_x_2),V_r_2))| -c_Wellfounded_Oacyclic(T_a,V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,$f71(V_r_2,V_ba_2,V_aa_2,T_a)),c_Transitive__Closure_Otrancl(T_a,V_r_2)).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f71(V_r_2,V_ba_2,V_aa_2,T_a),V_ba_2),V_r_2).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_z_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_z_2),V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,$f72(V_r_2,V_z_2,V_x_2,T_a)),V_r_2).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_z_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_z_2),V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f72(V_r_2,V_z_2,V_x_2,T_a),V_z_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)).
% 7.34/7.38 0 [] c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),c_Transitive__Closure_Otrancl(T_a,V_r_2),c_Relation_OId(T_a))=c_Transitive__Closure_Ortrancl(T_a,V_r_2).
% 7.34/7.38 0 [] c_Transitive__Closure_Otrancl(T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,c_Relation_OId(T_a)))=c_Transitive__Closure_Ortrancl(T_a,V_r_2).
% 7.34/7.38 0 [] -hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_x_2))|hBOOL(hAPP(V_A_2,V_x_2))|hBOOL(hAPP(V_B_2,V_x_2)).
% 7.34/7.38 0 [] -hBOOL(hAPP(V_B_2,V_x_2))|hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_x_2)).
% 7.34/7.38 0 [] -hBOOL(hAPP(V_A_2,V_x_2))|hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_x_2)).
% 7.34/7.38 0 [] -c_member(T_a,V_aa_2,c_Set_Oinsert(T_a,V_ba_2,V_A_2))|V_aa_2=V_ba_2|c_member(T_a,V_aa_2,V_A_2).
% 7.34/7.38 0 [] -c_member(T_a,V_aa_2,V_B_2)|c_member(T_a,V_aa_2,c_Set_Oinsert(T_a,V_ba_2,V_B_2)).
% 7.34/7.38 0 [] V_aa_2!=V_ba_2|c_member(T_a,V_aa_2,c_Set_Oinsert(T_a,V_ba_2,V_B_2)).
% 7.34/7.38 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).
% 7.34/7.38 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)).
% 7.34/7.38 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)).
% 7.34/7.38 0 [] -c_Relation_Orefl__on(T_a,V_A_2,V_r_2)| -c_Relation_Orefl__on(T_a,V_B_2,V_s_2)|c_Relation_Orefl__on(T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,V_s_2)).
% 7.34/7.38 0 [] c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_A_2)=V_A_2.
% 7.34/7.38 0 [] c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2).
% 7.34/7.38 0 [] c_Set_Oinsert(T_a,V_x_2,c_Set_Oinsert(T_a,V_x_2,V_A_2))=c_Set_Oinsert(T_a,V_x_2,V_A_2).
% 7.34/7.38 0 [] c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2).
% 7.34/7.38 0 [] c_Set_Oinsert(T_a,V_x_2,c_Set_Oinsert(T_a,V_y_2,V_A_2))=c_Set_Oinsert(T_a,V_y_2,c_Set_Oinsert(T_a,V_x_2,V_A_2)).
% 7.34/7.38 0 [] c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_aa_2,V_B_2))=c_Set_Oinsert(T_a,V_aa_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)).
% 7.34/7.38 0 [] c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2))=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_B_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2)).
% 7.34/7.38 0 [] c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_aa_2,V_B_2),V_C_2)=c_Set_Oinsert(T_a,V_aa_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)).
% 7.34/7.38 0 [] c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_C_2)=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)).
% 7.34/7.38 0 [] -c_member(T_a,B_x,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))| -hBOOL(hAPP(V_Pa_2,B_x))|c_member(T_a,$f73(V_Pa_2,V_B_2,V_A_2,T_a),V_A_2)|c_member(T_a,$f74(V_Pa_2,V_B_2,V_A_2,T_a),V_B_2).
% 7.34/7.38 0 [] -c_member(T_a,B_x,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))| -hBOOL(hAPP(V_Pa_2,B_x))|c_member(T_a,$f73(V_Pa_2,V_B_2,V_A_2,T_a),V_A_2)|hBOOL(hAPP(V_Pa_2,$f74(V_Pa_2,V_B_2,V_A_2,T_a))).
% 7.34/7.38 0 [] -c_member(T_a,B_x,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))| -hBOOL(hAPP(V_Pa_2,B_x))|hBOOL(hAPP(V_Pa_2,$f73(V_Pa_2,V_B_2,V_A_2,T_a)))|c_member(T_a,$f74(V_Pa_2,V_B_2,V_A_2,T_a),V_B_2).
% 7.34/7.38 0 [] -c_member(T_a,B_x,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))| -hBOOL(hAPP(V_Pa_2,B_x))|hBOOL(hAPP(V_Pa_2,$f73(V_Pa_2,V_B_2,V_A_2,T_a)))|hBOOL(hAPP(V_Pa_2,$f74(V_Pa_2,V_B_2,V_A_2,T_a))).
% 7.34/7.38 0 [] c_member(T_a,$f75(V_Pa_2,V_B_2,V_A_2,T_a),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))| -c_member(T_a,X1,V_A_2)| -hBOOL(hAPP(V_Pa_2,X1)).
% 7.34/7.38 0 [] c_member(T_a,$f75(V_Pa_2,V_B_2,V_A_2,T_a),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))| -c_member(T_a,X2,V_B_2)| -hBOOL(hAPP(V_Pa_2,X2)).
% 7.34/7.38 0 [] hBOOL(hAPP(V_Pa_2,$f75(V_Pa_2,V_B_2,V_A_2,T_a)))| -c_member(T_a,X1,V_A_2)| -hBOOL(hAPP(V_Pa_2,X1)).
% 7.34/7.38 0 [] hBOOL(hAPP(V_Pa_2,$f75(V_Pa_2,V_B_2,V_A_2,T_a)))| -c_member(T_a,X2,V_B_2)| -hBOOL(hAPP(V_Pa_2,X2)).
% 7.34/7.38 0 [] c_member(T_a,$f76(V_Pa_2,V_B_2,V_A_2,T_a),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))| -c_member(T_a,B_x,V_A_2)|hBOOL(hAPP(V_Pa_2,B_x)).
% 7.34/7.38 0 [] c_member(T_a,$f76(V_Pa_2,V_B_2,V_A_2,T_a),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))| -c_member(T_a,X3,V_B_2)|hBOOL(hAPP(V_Pa_2,X3)).
% 7.34/7.38 0 [] -hBOOL(hAPP(V_Pa_2,$f76(V_Pa_2,V_B_2,V_A_2,T_a)))| -c_member(T_a,B_x,V_A_2)|hBOOL(hAPP(V_Pa_2,B_x)).
% 7.34/7.38 0 [] -hBOOL(hAPP(V_Pa_2,$f76(V_Pa_2,V_B_2,V_A_2,T_a)))| -c_member(T_a,X3,V_B_2)|hBOOL(hAPP(V_Pa_2,X3)).
% 7.34/7.38 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_Pa_2,X4))|c_member(T_a,$f77(V_Pa_2,V_B_2,V_A_2,T_a),V_A_2)|c_member(T_a,$f78(V_Pa_2,V_B_2,V_A_2,T_a),V_B_2).
% 7.34/7.38 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_Pa_2,X4))|c_member(T_a,$f77(V_Pa_2,V_B_2,V_A_2,T_a),V_A_2)| -hBOOL(hAPP(V_Pa_2,$f78(V_Pa_2,V_B_2,V_A_2,T_a))).
% 7.34/7.38 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_Pa_2,X4))| -hBOOL(hAPP(V_Pa_2,$f77(V_Pa_2,V_B_2,V_A_2,T_a)))|c_member(T_a,$f78(V_Pa_2,V_B_2,V_A_2,T_a),V_B_2).
% 7.34/7.38 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_Pa_2,X4))| -hBOOL(hAPP(V_Pa_2,$f77(V_Pa_2,V_B_2,V_A_2,T_a)))| -hBOOL(hAPP(V_Pa_2,$f78(V_Pa_2,V_B_2,V_A_2,T_a))).
% 7.34/7.38 0 [] -hBOOL(hAPP(c_Set_Oinsert(T_a,V_y_2,V_A_2),V_x_2))|V_y_2=V_x_2|hBOOL(hAPP(V_A_2,V_x_2)).
% 7.34/7.38 0 [] hBOOL(hAPP(c_Set_Oinsert(T_a,V_y_2,V_A_2),V_x_2))|V_y_2!=V_x_2.
% 7.34/7.38 0 [] hBOOL(hAPP(c_Set_Oinsert(T_a,V_y_2,V_A_2),V_x_2))| -hBOOL(hAPP(V_A_2,V_x_2)).
% 7.34/7.38 0 [] c_Relation_ORange(T_b,T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),V_A_2,V_B_2))=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Relation_ORange(T_b,T_a,V_A_2),c_Relation_ORange(T_b,T_a,V_B_2)).
% 7.34/7.38 0 [] -hBOOL(hAPP(V_A_2,V_x_2))|hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_x_2)).
% 7.34/7.38 0 [] -hBOOL(hAPP(V_B_2,V_x_2))|hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_x_2)).
% 7.34/7.38 0 [] c_Relation_ODomain(T_a,T_b,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),V_A_2,V_B_2))=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Relation_ODomain(T_a,T_b,V_A_2),c_Relation_ODomain(T_a,T_b,V_B_2)).
% 7.34/7.38 0 [] c_Relation_ODomain(T_a,T_b,c_Set_Oinsert(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2),V_r_2))=c_Set_Oinsert(T_a,V_aa_2,c_Relation_ODomain(T_a,T_b,V_r_2)).
% 7.34/7.38 0 [] c_Relation_ORange(T_b,T_a,c_Set_Oinsert(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,V_aa_2,V_ba_2),V_r_2))=c_Set_Oinsert(T_a,V_ba_2,c_Relation_ORange(T_b,T_a,V_r_2)).
% 7.34/7.38 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).
% 7.34/7.38 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).
% 7.34/7.38 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).
% 7.34/7.38 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)).
% 7.34/7.38 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)).
% 7.34/7.38 0 [] c_member(T_a,V_aa_2,c_Set_Oinsert(T_a,V_aa_2,V_B_2)).
% 7.34/7.38 0 [] -c_member(T_a,V_aa_2,c_Set_Oinsert(T_a,V_ba_2,V_A_2))|V_aa_2=V_ba_2|c_member(T_a,V_aa_2,V_A_2).
% 7.34/7.38 0 [] c_member(T_a,V_aa_2,c_Set_Oinsert(T_a,V_ba_2,V_A_2))|V_aa_2!=V_ba_2.
% 7.34/7.38 0 [] c_member(T_a,V_aa_2,c_Set_Oinsert(T_a,V_ba_2,V_A_2))| -c_member(T_a,V_aa_2,V_A_2).
% 7.34/7.38 0 [] c_member(T_a,V_x_2,V_A_2)|c_member(T_a,V_x_2,V_B_2)|c_Set_Oinsert(T_a,V_x_2,V_A_2)!=c_Set_Oinsert(T_a,V_x_2,V_B_2)|V_A_2=V_B_2.
% 7.34/7.38 0 [] c_member(T_a,V_x_2,V_A_2)|c_member(T_a,V_x_2,V_B_2)|c_Set_Oinsert(T_a,V_x_2,V_A_2)=c_Set_Oinsert(T_a,V_x_2,V_B_2)|V_A_2!=V_B_2.
% 7.34/7.38 0 [] -c_member(T_a,V_aa_2,V_B_2)|c_member(T_a,V_aa_2,c_Set_Oinsert(T_a,V_ba_2,V_B_2)).
% 7.34/7.38 0 [] -c_member(T_a,V_aa_2,V_A_2)|c_Set_Oinsert(T_a,V_aa_2,V_A_2)=V_A_2.
% 7.34/7.38 0 [] c_Transitive__Closure_Ortrancl(T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(T_a,V_R_2),c_Transitive__Closure_Ortrancl(T_a,V_S_2)))=c_Transitive__Closure_Ortrancl(T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_R_2,V_S_2)).
% 7.34/7.38 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)).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_a),V_x_2,c_Transitive__Closure_Ortrancl(T_a,V_R_2))|c_member(tc_prod(T_a,T_a),V_x_2,c_Transitive__Closure_Ortrancl(T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_R_2,V_S_2))).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_a),V_x_2,c_Transitive__Closure_Ortrancl(T_a,V_S_2))|c_member(tc_prod(T_a,T_a),V_x_2,c_Transitive__Closure_Ortrancl(T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_R_2,V_S_2))).
% 7.34/7.38 0 [] c_Transitive__Closure_Ortrancl(T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_R_2,c_Relation_OId(T_a)))=c_Transitive__Closure_Ortrancl(T_a,V_R_2).
% 7.34/7.38 0 [] c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(T_a,V_R_2),c_Relation_OId(T_a))=c_Transitive__Closure_Ortrancl(T_a,V_R_2).
% 7.34/7.38 0 [] -c_Relation_Oantisym(T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,c_Relation_OId(T_a)))|c_Relation_Oantisym(T_a,V_r_2).
% 7.34/7.38 0 [] c_Relation_Oantisym(T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,c_Relation_OId(T_a)))| -c_Relation_Oantisym(T_a,V_r_2).
% 7.34/7.38 0 [] -class_Lattices_Olattice(T_a)|hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,T_a),V_f_2,V_g_2),V_x_2)=c_Lattices_Osemilattice__sup__class_Osup(T_a,hAPP(V_f_2,V_x_2),hAPP(V_g_2,V_x_2)).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_Pa_2,V_Q_2)))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,$f80(V_Q_2,V_Pa_2,V_ba_2,V_aa_2,T_a)),c_Transitive__Closure_Ortrancl(T_a,V_Pa_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_Pa_2)).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_Pa_2,V_Q_2)))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f80(V_Q_2,V_Pa_2,V_ba_2,V_aa_2,T_a),$f79(V_Q_2,V_Pa_2,V_ba_2,V_aa_2,T_a)),V_Q_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_Pa_2)).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_Pa_2,V_Q_2)))|$f80(V_Q_2,V_Pa_2,V_ba_2,V_aa_2,T_a)!=$f79(V_Q_2,V_Pa_2,V_ba_2,V_aa_2,T_a)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_Pa_2)).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_Pa_2,V_Q_2)))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f82(V_Q_2,V_Pa_2,V_ba_2,V_aa_2,T_a),V_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_Pa_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_Pa_2)).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_Pa_2,V_Q_2)))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f81(V_Q_2,V_Pa_2,V_ba_2,V_aa_2,T_a),$f82(V_Q_2,V_Pa_2,V_ba_2,V_aa_2,T_a)),V_Q_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_Pa_2)).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_Pa_2,V_Q_2)))|$f81(V_Q_2,V_Pa_2,V_ba_2,V_aa_2,T_a)!=$f82(V_Q_2,V_Pa_2,V_ba_2,V_aa_2,T_a)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_Pa_2)).
% 7.34/7.38 0 [] -c_Wellfounded_Owf(T_a,c_Set_Oinsert(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_y_2,V_x_2),V_r_2))|c_Wellfounded_Owf(T_a,V_r_2).
% 7.34/7.38 0 [] -c_Wellfounded_Owf(T_a,c_Set_Oinsert(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_y_2,V_x_2),V_r_2))| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 7.34/7.38 0 [] c_Wellfounded_Owf(T_a,c_Set_Oinsert(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_y_2,V_x_2),V_r_2))| -c_Wellfounded_Owf(T_a,V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 7.34/7.38 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)).
% 7.34/7.38 0 [] c_Relation_Orefl__on(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),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))).
% 7.34/7.38 0 [] hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),V_x_2)).
% 7.34/7.38 0 [] c_member(T_a,V_x_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))).
% 7.34/7.38 0 [] -c_Wellfounded_Owf(T_a,V_r_2)|c_Wellfounded_Owf(T_b,c_Relation_Oinv__image(T_a,T_b,V_r_2,V_f_2)).
% 7.34/7.38 0 [] -c_Wellfounded_Owf(T_a,V_ra_2)| -c_Wellfounded_Owf(T_b,V_rb_2)|c_Wellfounded_Owf(tc_prod(T_a,T_b),c_Wellfounded_Olex__prod(T_a,T_b,V_ra_2,V_rb_2)).
% 7.34/7.38 0 [] -class_Lattices_Obounded__lattice__top(T_a)|c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,c_Orderings_Otop__class_Otop(T_a))=c_Orderings_Otop__class_Otop(T_a).
% 7.34/7.38 0 [] -class_Lattices_Obounded__lattice__top(T_a)|c_Lattices_Osemilattice__sup__class_Osup(T_a,c_Orderings_Otop__class_Otop(T_a),V_x)=c_Orderings_Otop__class_Otop(T_a).
% 7.34/7.38 0 [] c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)).
% 7.34/7.38 0 [] c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),V_B_2)=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)).
% 7.34/7.38 0 [] -c_Wellfounded_Owf(T_a,V_r_2)|c_Wellfounded_Owf(T_a,c_Transitive__Closure_Otrancl(T_a,V_r_2)).
% 7.34/7.38 0 [] -c_Wellfounded_Owf(T_a,V_r_2)|c_Wellfounded_Oacyclic(T_a,V_r_2).
% 7.34/7.38 0 [] c_Relation_OField(T_a,c_Relation_Oconverse(T_a,T_a,V_r_2))=c_Relation_OField(T_a,V_r_2).
% 7.34/7.38 0 [] -c_Wellfounded_Owf(T_a,V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_aa_2),V_r_2).
% 7.34/7.38 0 [] -c_Wellfounded_Owf(T_a,V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_x_2),V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_aa_2),V_r_2).
% 7.34/7.38 0 [] -c_Wellfounded_Owf(T_a,V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_x_2),V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_aa_2),V_r_2).
% 7.34/7.38 0 [] -c_Wellfounded_Owf(T_a,V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_aa_2),V_r_2).
% 7.34/7.38 0 [] -c_Wellfounded_Owf(T_a,V_r_2)|c_member(T_a,V_x_2,c_Wellfounded_Oacc(T_a,V_r_2)).
% 7.34/7.38 0 [] -c_Wellfounded_Owf(T_a,V_r_2)|c_member(T_a,B_x,c_Wellfounded_Oacc(T_a,V_r_2)).
% 7.34/7.38 0 [] c_Wellfounded_Owf(T_a,V_r_2)| -c_member(T_a,$f83(V_r_2,T_a),c_Wellfounded_Oacc(T_a,V_r_2)).
% 7.34/7.38 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))).
% 7.34/7.38 0 [] c_Relation_ODomain(T_a,T_a,c_Transitive__Closure_Ortrancl(T_a,V_R_2))=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)).
% 7.34/7.38 0 [] c_Relation_ORange(T_a,T_a,c_Transitive__Closure_Ortrancl(T_a,V_R_2))=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)).
% 7.34/7.38 0 [] c_Relation_Orefl__on(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 7.34/7.38 0 [] c_Relation_ODomain(T_a,T_a,c_Relation_OId(T_a))=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)).
% 7.34/7.38 0 [] c_Relation_ORange(T_a,T_a,c_Relation_OId(T_a))=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)).
% 7.34/7.38 0 [] c_Relation_Orefl__on(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),c_Relation_OId(T_a)).
% 7.34/7.38 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)).
% 7.34/7.38 0 [] -class_Lattices_Osemilattice__sup(T_a)|c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,V_a)=V_a.
% 7.34/7.38 0 [] -class_Lattices_Osemilattice__sup(T_a)|c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_x)=V_x.
% 7.34/7.38 0 [] -class_Lattices_Osemilattice__sup(T_a)|c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,V_b)=c_Lattices_Osemilattice__sup__class_Osup(T_a,V_b,V_a).
% 7.34/7.38 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y)=c_Lattices_Osemilattice__sup__class_Osup(T_a,V_y,V_x).
% 7.34/7.38 0 [] -class_Lattices_Osemilattice__sup(T_a)|c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y)=c_Lattices_Osemilattice__sup__class_Osup(T_a,V_y,V_x).
% 7.34/7.38 0 [] -class_Lattices_Osemilattice__sup(T_a)|c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,V_b))=c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,V_b).
% 7.34/7.38 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y))=c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y).
% 7.34/7.38 0 [] -class_Lattices_Osemilattice__sup(T_a)|c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y))=c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y).
% 7.34/7.38 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)).
% 7.34/7.38 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)).
% 7.34/7.38 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)).
% 7.34/7.38 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)).
% 7.34/7.38 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)).
% 7.34/7.38 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)).
% 7.34/7.38 0 [] c_Wellfounded_Owf(T_a,c_Wellfounded_Omeasure(T_a,V_f_2)).
% 7.34/7.38 0 [] -class_Orderings_Otop(T_a)|hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_b,T_a)),V_x_2)=c_Orderings_Otop__class_Otop(T_a).
% 7.34/7.38 0 [] c_member(T_a,V_x_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))).
% 7.34/7.38 0 [] -c_Wellfounded_Owf(T_a,B_R)|hAPP(c_Recdef_Owfrec(T_a,T_b,B_R,B_M),B_x)=hAPP(hAPP(B_M,c_Recdef_Ocut(T_a,T_b,c_Recdef_Owfrec(T_a,T_b,B_R,B_M),B_R,B_x)),B_x).
% 7.34/7.38 0 [] -c_Wellfounded_Owf(T_a,V_r_2)|hAPP(c_Recdef_Owfrec(T_a,T_b,V_r_2,V_H_2),V_aa_2)=hAPP(hAPP(V_H_2,c_Recdef_Ocut(T_a,T_b,c_Recdef_Owfrec(T_a,T_b,V_r_2,V_H_2),V_r_2,V_aa_2)),V_aa_2).
% 7.34/7.38 0 [] V_f_2!=c_Recdef_Owfrec(T_a,T_b,V_r_2,V_H_2)| -c_Wellfounded_Owf(T_a,V_r_2)|hAPP(V_f_2,V_aa_2)=hAPP(hAPP(V_H_2,c_Recdef_Ocut(T_a,T_b,V_f_2,V_r_2,V_aa_2)),V_aa_2).
% 7.34/7.38 0 [] hBOOL(hAPP(V_Pa_2,$f84(T_a,V_R_2,T_b,V_Pa_2)))|c_Wellfounded_Owf(tc_prod(T_a,T_b),c_Recdef_Osame__fst(T_a,T_b,V_Pa_2,V_R_2)).
% 7.34/7.38 0 [] -c_Wellfounded_Owf(T_b,hAPP(V_R_2,$f84(T_a,V_R_2,T_b,V_Pa_2)))|c_Wellfounded_Owf(tc_prod(T_a,T_b),c_Recdef_Osame__fst(T_a,T_b,V_Pa_2,V_R_2)).
% 7.34/7.38 0 [] c_Relation_OField(T_a,c_Set_Oinsert(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),V_r_2))=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_aa_2,c_Set_Oinsert(T_a,V_ba_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),c_Relation_OField(T_a,V_r_2)).
% 7.34/7.38 0 [] -c_Wellfounded_Owf(T_a,V_r_2)| -c_member(T_a,B_x,B_Q)|c_member(T_a,$f85(V_r_2,T_a,B_Q),B_Q).
% 7.34/7.38 0 [] -c_Wellfounded_Owf(T_a,V_r_2)| -c_member(T_a,B_x,B_Q)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_y,$f85(V_r_2,T_a,B_Q)),V_r_2)| -c_member(T_a,B_y,B_Q).
% 7.34/7.38 0 [] c_Wellfounded_Owf(T_a,V_r_2)|c_member(T_a,$f86(V_r_2,T_a),$f88(V_r_2,T_a)).
% 7.34/7.38 0 [] c_Wellfounded_Owf(T_a,V_r_2)| -c_member(T_a,X5,$f88(V_r_2,T_a))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f87(V_r_2,T_a,X5),X5),V_r_2).
% 7.34/7.38 0 [] c_Wellfounded_Owf(T_a,V_r_2)| -c_member(T_a,X5,$f88(V_r_2,T_a))|c_member(T_a,$f87(V_r_2,T_a,X5),$f88(V_r_2,T_a)).
% 7.34/7.38 0 [] -c_Wellfounded_Owf(T_a,V_R_2)|c_Wellfounded_OwfP(T_a,c_FunDef_Oin__rel(T_a,T_a,V_R_2)).
% 7.34/7.38 0 [] c_Wellfounded_Owf(T_a,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))).
% 7.34/7.38 0 [] -c_member(T_a,V_aa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))).
% 7.34/7.38 0 [] c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)).
% 7.34/7.38 0 [] -class_Orderings_Obot(T_a)|hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,T_a)),V_x_2)=c_Orderings_Obot__class_Obot(T_a).
% 7.34/7.38 0 [] c_Transitive__Closure_Otrancl(T_a,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)).
% 7.34/7.38 0 [] c_Relation_Oantisym(T_a,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))).
% 7.34/7.38 0 [] c_Relation_ODomain(T_a,T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)).
% 7.34/7.38 0 [] c_Relation_ODomain(T_a,T_b,V_r_2)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))|V_r_2=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)).
% 7.34/7.38 0 [] c_Relation_ODomain(T_a,T_b,V_r_2)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))|V_r_2!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)).
% 7.34/7.38 0 [] c_Relation_OId__on(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)).
% 7.34/7.38 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)).
% 7.34/7.38 0 [] c_Relation_ORange(T_b,T_a,V_r_2)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))|V_r_2=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)).
% 7.34/7.38 0 [] c_Relation_ORange(T_b,T_a,V_r_2)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))|V_r_2!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)).
% 7.34/7.38 0 [] c_Relation_ORange(T_b,T_a,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)).
% 7.34/7.38 0 [] c_Relation_Orefl__on(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))).
% 7.34/7.38 0 [] c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_B_2)=V_B_2.
% 7.34/7.38 0 [] c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))=V_A_2.
% 7.34/7.38 0 [] c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))|V_A_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)).
% 7.34/7.38 0 [] c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))|V_B_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)).
% 7.34/7.38 0 [] c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))|V_A_2!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))|V_B_2!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)).
% 7.34/7.38 0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))!=c_Set_Oinsert(T_a,V_aa_2,V_A_2).
% 7.34/7.38 0 [] c_Set_Oinsert(T_a,V_aa_2,V_A_2)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)).
% 7.34/7.38 0 [] c_Set_Oinsert(T_a,V_aa_2,c_Set_Oinsert(T_a,V_ba_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))!=c_Set_Oinsert(T_a,V_c_2,c_Set_Oinsert(T_a,V_d_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))|V_aa_2=V_c_2|V_aa_2=V_d_2.
% 7.34/7.38 0 [] c_Set_Oinsert(T_a,V_aa_2,c_Set_Oinsert(T_a,V_ba_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))!=c_Set_Oinsert(T_a,V_c_2,c_Set_Oinsert(T_a,V_d_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))|V_aa_2=V_c_2|V_ba_2=V_c_2.
% 7.34/7.38 0 [] c_Set_Oinsert(T_a,V_aa_2,c_Set_Oinsert(T_a,V_ba_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))!=c_Set_Oinsert(T_a,V_c_2,c_Set_Oinsert(T_a,V_d_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))|V_ba_2=V_d_2|V_aa_2=V_d_2.
% 7.34/7.38 0 [] c_Set_Oinsert(T_a,V_aa_2,c_Set_Oinsert(T_a,V_ba_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))!=c_Set_Oinsert(T_a,V_c_2,c_Set_Oinsert(T_a,V_d_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))|V_ba_2=V_d_2|V_ba_2=V_c_2.
% 7.34/7.38 0 [] c_Set_Oinsert(T_a,V_aa_2,c_Set_Oinsert(T_a,V_ba_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))=c_Set_Oinsert(T_a,V_c_2,c_Set_Oinsert(T_a,V_d_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))|V_aa_2!=V_c_2|V_ba_2!=V_d_2.
% 7.34/7.38 0 [] c_Set_Oinsert(T_a,V_aa_2,c_Set_Oinsert(T_a,V_ba_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))=c_Set_Oinsert(T_a,V_c_2,c_Set_Oinsert(T_a,V_d_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))|V_aa_2!=V_d_2|V_ba_2!=V_c_2.
% 7.34/7.38 0 [] c_Set_Oinsert(T_a,V_aa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))!=c_Set_Oinsert(T_a,V_ba_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))|V_aa_2=V_ba_2.
% 7.34/7.38 0 [] c_member(T_a,$f89(V_A_2,T_a),V_A_2)|V_A_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)).
% 7.34/7.38 0 [] -c_member(T_a,B_x,V_A_2)|V_A_2!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)).
% 7.34/7.38 0 [] -c_member(T_a,B_x,V_A_2)|V_A_2!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)).
% 7.34/7.38 0 [] c_member(T_a,$f90(V_A_2,T_a),V_A_2)|V_A_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)).
% 7.34/7.38 0 [] -c_member(T_a,V_c_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))).
% 7.34/7.38 0 [] V_A_2!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))| -c_member(T_a,V_aa_2,V_A_2).
% 7.34/7.38 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)).
% 7.34/7.38 0 [] c_Relation_Ototal__on(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_r_2).
% 7.34/7.38 0 [] -class_Lattices_Obounded__lattice__bot(T_a)|c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x_2,V_y_2)!=c_Orderings_Obot__class_Obot(T_a)|V_x_2=c_Orderings_Obot__class_Obot(T_a).
% 7.34/7.38 0 [] -class_Lattices_Obounded__lattice__bot(T_a)|c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x_2,V_y_2)!=c_Orderings_Obot__class_Obot(T_a)|V_y_2=c_Orderings_Obot__class_Obot(T_a).
% 7.34/7.38 0 [] -class_Lattices_Obounded__lattice__bot(T_a)|c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x_2,V_y_2)=c_Orderings_Obot__class_Obot(T_a)|V_x_2!=c_Orderings_Obot__class_Obot(T_a)|V_y_2!=c_Orderings_Obot__class_Obot(T_a).
% 7.34/7.38 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.
% 7.34/7.38 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.
% 7.34/7.38 0 [] -c_member(T_a,V_ba_2,c_Set_Oinsert(T_a,V_aa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))|V_ba_2=V_aa_2.
% 7.34/7.38 0 [] -c_member(T_a,V_ba_2,c_Set_Oinsert(T_a,V_aa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))|V_ba_2=V_aa_2.
% 7.34/7.38 0 [] c_member(T_a,V_ba_2,c_Set_Oinsert(T_a,V_aa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))|V_ba_2!=V_aa_2.
% 7.34/7.38 0 [] c_Set_Oinsert(T_a,V_aa_2,V_A_2)=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_aa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_A_2).
% 7.34/7.38 0 [] c_Transitive__Closure_Ortrancl(T_a,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)))=c_Relation_OId(T_a).
% 7.34/7.38 0 [] c_Set_Othe__elem(T_a,c_Set_Oinsert(T_a,V_x_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))=V_x_2.
% 7.34/7.38 0 [] -c_Wellfounded_Owf(T_a,V_r_2)| -c_Wellfounded_Owf(T_a,V_s_2)|c_Lattices_Osemilattice__inf__class_Oinf(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_s_2))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))|c_Wellfounded_Owf(T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,V_s_2)).
% 7.34/7.38 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_x_2,V_x_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)).
% 7.34/7.38 0 [] -c_member(T_a,V_ba_2,c_Relation_OImage(T_b,T_a,V_r_2,c_Set_Oinsert(T_b,V_aa_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_aa_2,V_ba_2),V_r_2).
% 7.34/7.38 0 [] c_member(T_a,V_ba_2,c_Relation_OImage(T_b,T_a,V_r_2,c_Set_Oinsert(T_b,V_aa_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_aa_2,V_ba_2),V_r_2).
% 7.34/7.38 0 [] -hBOOL(hAPP(V_A_2,V_x_2))| -hBOOL(hAPP(V_B_2,V_x_2))|hBOOL(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_x_2)).
% 7.34/7.38 0 [] -hBOOL(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_x_2))|hBOOL(hAPP(V_A_2,V_x_2)).
% 7.34/7.38 0 [] -hBOOL(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_x_2))|hBOOL(hAPP(V_B_2,V_x_2)).
% 7.34/7.38 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).
% 7.34/7.38 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).
% 7.34/7.38 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)).
% 7.34/7.38 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)).
% 7.34/7.38 0 [] c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))| -c_member(T_a,B_x,V_A_2)| -c_member(T_a,B_xa,V_B_2)|B_x!=B_xa.
% 7.34/7.38 0 [] c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))|c_member(T_a,$f92(V_B_2,V_A_2,T_a),V_A_2).
% 7.34/7.38 0 [] c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))|c_member(T_a,$f91(V_B_2,V_A_2,T_a),V_B_2).
% 7.34/7.38 0 [] c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))|$f92(V_B_2,V_A_2,T_a)=$f91(V_B_2,V_A_2,T_a).
% 7.34/7.38 0 [] c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)).
% 7.34/7.38 0 [] c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_B_2)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)).
% 7.34/7.38 0 [] -class_Lattices_Obounded__lattice__bot(T_a)|c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,c_Orderings_Obot__class_Obot(T_a))=c_Orderings_Obot__class_Obot(T_a).
% 7.34/7.38 0 [] -class_Lattices_Obounded__lattice__bot(T_a)|c_Lattices_Osemilattice__inf__class_Oinf(T_a,c_Orderings_Obot__class_Obot(T_a),V_x)=c_Orderings_Obot__class_Obot(T_a).
% 7.34/7.38 0 [] -class_Lattices_Odistrib__lattice(T_a)|c_Lattices_Osemilattice__sup__class_Osup(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_y,V_z),V_x)=c_Lattices_Osemilattice__inf__class_Oinf(T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_y,V_x),c_Lattices_Osemilattice__sup__class_Osup(T_a,V_z,V_x)).
% 7.34/7.38 0 [] -class_Lattices_Odistrib__lattice(T_a)|c_Lattices_Osemilattice__inf__class_Oinf(T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_y,V_z),V_x)=c_Lattices_Osemilattice__sup__class_Osup(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_y,V_x),c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_z,V_x)).
% 7.34/7.38 0 [] -class_Lattices_Odistrib__lattice(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)).
% 7.34/7.38 0 [] -class_Lattices_Odistrib__lattice(T_a)|c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_y,V_z))=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)).
% 7.34/7.38 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y))=V_x.
% 7.34/7.38 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y))=V_x.
% 7.34/7.38 0 [] -class_Lattices_Osemilattice__inf(T_a)|c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,V_a)=V_a.
% 7.34/7.38 0 [] -class_Lattices_Osemilattice__inf(T_a)|c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_x)=V_x.
% 7.34/7.38 0 [] -class_Lattices_Osemilattice__inf(T_a)|c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,V_b)=c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_b,V_a).
% 7.34/7.38 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y)=c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_y,V_x).
% 7.34/7.38 0 [] -class_Lattices_Osemilattice__inf(T_a)|c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y)=c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_y,V_x).
% 7.34/7.38 0 [] -class_Lattices_Osemilattice__inf(T_a)|c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,V_b))=c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,V_b).
% 7.34/7.38 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y))=c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y).
% 7.34/7.38 0 [] -class_Lattices_Osemilattice__inf(T_a)|c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y))=c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y).
% 7.34/7.38 0 [] -class_Lattices_Osemilattice__inf(T_a)|c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_b,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,V_c))=c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_b,V_c)).
% 7.34/7.38 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_y,V_z))=c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_y,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_z)).
% 7.34/7.38 0 [] -class_Lattices_Osemilattice__inf(T_a)|c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_y,V_z))=c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_y,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_z)).
% 7.34/7.38 0 [] -class_Lattices_Osemilattice__inf(T_a)|c_Lattices_Osemilattice__inf__class_Oinf(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,V_b),V_c)=c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_b,V_c)).
% 7.34/7.38 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Osemilattice__inf__class_Oinf(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y),V_z)=c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_y,V_z)).
% 7.34/7.38 0 [] -class_Lattices_Osemilattice__inf(T_a)|c_Lattices_Osemilattice__inf__class_Oinf(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y),V_z)=c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_y,V_z)).
% 7.34/7.38 0 [] -class_Lattices_Olattice(T_a)|hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,T_a),V_f_2,V_g_2),V_x_2)=c_Lattices_Osemilattice__inf__class_Oinf(T_a,hAPP(V_f_2,V_x_2),hAPP(V_g_2,V_x_2)).
% 7.34/7.38 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).
% 7.34/7.38 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).
% 7.34/7.38 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).
% 7.34/7.38 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).
% 7.34/7.38 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)| -c_member(T_a,V_c_2,V_B_2).
% 7.34/7.38 0 [] c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_aa_2,V_A_2),c_Set_Oinsert(T_a,V_aa_2,V_B_2))=c_Set_Oinsert(T_a,V_aa_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)).
% 7.34/7.38 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),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_A_2))=c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__inf__class_Oinf(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_B_2,V_C_2)),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_A_2)).
% 7.34/7.38 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_B_2,V_C_2),V_A_2)=c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(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_C_2,V_A_2)).
% 7.34/7.38 0 [] c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2),V_A_2)=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_B_2,V_A_2),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_A_2)).
% 7.34/7.38 0 [] c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2))=c_Lattices_Osemilattice__inf__class_Oinf(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_A_2,V_C_2)).
% 7.34/7.38 0 [] 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_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),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2)).
% 7.34/7.38 0 [] -c_Relation_Osingle__valued(T_a,T_b,c_Relation_Oconverse(T_b,T_a,V_R_2))|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)).
% 7.34/7.38 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)).
% 7.34/7.38 0 [] c_Relation_Oconverse(T_b,T_a,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),V_r_2,V_s_2))=c_Lattices_Osemilattice__inf__class_Oinf(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)).
% 7.34/7.38 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__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,V_s_2)).
% 7.34/7.38 0 [] c_Relation_OImage(T_a,T_a,c_Relation_OId__on(T_a,V_A_2),V_B_2)=c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2).
% 7.34/7.38 0 [] c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_A_2)=V_A_2.
% 7.34/7.38 0 [] c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)=c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2).
% 7.34/7.38 0 [] c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))=c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2).
% 7.34/7.38 0 [] c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2))=c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_B_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2)).
% 7.34/7.38 0 [] c_Lattices_Osemilattice__inf__class_Oinf(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__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)).
% 7.34/7.38 0 [] -hBOOL(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_x_2))|hBOOL(hAPP(V_A_2,V_x_2)).
% 7.34/7.38 0 [] -hBOOL(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_x_2))|hBOOL(hAPP(V_B_2,V_x_2)).
% 7.34/7.38 0 [] c_Relation_OImage(T_a,T_a,c_Relation_OId(T_a),V_A_2)=V_A_2.
% 7.34/7.38 0 [] c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),V_B_2)=V_B_2.
% 7.34/7.38 0 [] c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))=V_A_2.
% 7.34/7.38 0 [] -class_Lattices_Obounded__lattice__top(T_a)|c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x_2,V_y_2)!=c_Orderings_Otop__class_Otop(T_a)|V_x_2=c_Orderings_Otop__class_Otop(T_a).
% 7.34/7.38 0 [] -class_Lattices_Obounded__lattice__top(T_a)|c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x_2,V_y_2)!=c_Orderings_Otop__class_Otop(T_a)|V_y_2=c_Orderings_Otop__class_Otop(T_a).
% 7.34/7.38 0 [] -class_Lattices_Obounded__lattice__top(T_a)|c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x_2,V_y_2)=c_Orderings_Otop__class_Otop(T_a)|V_x_2!=c_Orderings_Otop__class_Otop(T_a)|V_y_2!=c_Orderings_Otop__class_Otop(T_a).
% 7.34/7.38 0 [] -class_Lattices_Obounded__lattice__top(T_a)|c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,c_Orderings_Otop__class_Otop(T_a))=V_x.
% 7.34/7.38 0 [] -class_Lattices_Obounded__lattice__top(T_a)|c_Lattices_Osemilattice__inf__class_Oinf(T_a,c_Orderings_Otop__class_Otop(T_a),V_x)=V_x.
% 7.34/7.38 0 [] -c_Wellfounded_Owf(T_a,V_r_2)|c_Wellfounded_Owf(T_a,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,V_r_H_2)).
% 7.34/7.38 0 [] -c_Wellfounded_Owf(T_a,V_r_2)|c_Wellfounded_Owf(T_a,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_H_2,V_r_2)).
% 7.34/7.38 0 [] -c_member(T_a,V_aa_2,V_A_2)|c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_aa_2,V_B_2))=c_Set_Oinsert(T_a,V_aa_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)).
% 7.34/7.38 0 [] c_member(T_a,V_aa_2,V_A_2)|c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_aa_2,V_B_2))=c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2).
% 7.34/7.38 0 [] -c_member(T_a,V_aa_2,V_C_2)|c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_aa_2,V_B_2),V_C_2)=c_Set_Oinsert(T_a,V_aa_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)).
% 7.34/7.38 0 [] c_member(T_a,V_aa_2,V_C_2)|c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_aa_2,V_B_2),V_C_2)=c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2).
% 7.34/7.38 0 [] c_member(T_a,V_aa_2,V_A_2)|c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_aa_2,V_B_2))=c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2).
% 7.34/7.38 0 [] c_member(T_a,V_aa_2,V_C_2)|c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_aa_2,V_B_2),V_C_2)=c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2).
% 7.34/7.38 0 [] -c_member(T_a,V_aa_2,V_A_2)|c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_aa_2,V_B_2))=c_Set_Oinsert(T_a,V_aa_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)).
% 7.34/7.38 0 [] -c_member(T_a,V_aa_2,V_C_2)|c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_aa_2,V_B_2),V_C_2)=c_Set_Oinsert(T_a,V_aa_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)).
% 7.34/7.38 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)).
% 7.34/7.38 0 [] -c_member(T_a,V_ba_2,c_Relation_OImage(T_b,T_a,V_r_2,V_A_2))|c_member(T_b,$f93(V_A_2,V_r_2,T_b,V_ba_2,T_a),V_A_2).
% 7.34/7.38 0 [] -c_member(T_a,V_ba_2,c_Relation_OImage(T_b,T_a,V_r_2,V_A_2))|c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,$f93(V_A_2,V_r_2,T_b,V_ba_2,T_a),V_ba_2),V_r_2).
% 7.34/7.38 0 [] c_member(T_a,V_ba_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_ba_2),V_r_2).
% 7.34/7.38 0 [] -c_member(T_a,V_aa_2,V_A_2)| -c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2),V_r_2)|c_member(T_b,V_ba_2,c_Relation_OImage(T_a,T_b,V_r_2,V_A_2)).
% 7.34/7.38 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_aa_2,c_Relation_OField(T_a,V_r_2))| -c_member(T_a,V_ba_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_aa_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_ba_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))|V_aa_2=V_ba_2.
% 7.34/7.38 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_aa_2,c_Relation_OField(T_a,V_r_2))| -c_member(T_a,V_ba_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_aa_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_ba_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))|V_aa_2!=V_ba_2.
% 7.34/7.38 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_aa_2,c_Relation_OField(T_a,V_r_2))| -c_member(T_a,V_ba_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_aa_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_ba_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))|V_aa_2=V_ba_2.
% 7.34/7.38 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_aa_2,c_Relation_OField(T_a,V_r_2))| -c_member(T_a,V_ba_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_aa_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_ba_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))|V_aa_2!=V_ba_2.
% 7.34/7.38 0 [] -c_member(T_a,V_ba_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,$f94(V_A_2,V_r_2,T_b,V_ba_2,T_a),V_ba_2),V_r_2).
% 7.34/7.38 0 [] -c_member(T_a,V_ba_2,c_Relation_OImage(T_b,T_a,V_r_2,V_A_2))|c_member(T_b,$f94(V_A_2,V_r_2,T_b,V_ba_2,T_a),V_A_2).
% 7.34/7.38 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).
% 7.34/7.38 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).
% 7.34/7.38 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))).
% 7.34/7.38 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).
% 7.34/7.38 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).
% 7.34/7.38 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).
% 7.34/7.38 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))).
% 7.34/7.38 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).
% 7.34/7.38 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).
% 7.34/7.38 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))).
% 7.34/7.38 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).
% 7.34/7.38 0 [] -c_Order__Relation_Opartial__order__on(T_a,V_A_2,V_r_2)|c_Relation_Oantisym(T_a,V_r_2).
% 7.34/7.38 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).
% 7.34/7.38 0 [] -c_Equiv__Relations_Oe_quiv(T_a,V_A_2,V_r_2)| -c_member(T_a,V_x_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_aa_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_ba_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_aa_2,V_ba_2),V_r_2).
% 7.34/7.38 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).
% 7.34/7.38 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).
% 7.34/7.38 0 [] -c_Equiv__Relations_Oe_quiv(T_a,V_A_2,V_r_2)| -c_member(T_a,V_aa_2,V_A_2)|c_member(T_a,V_aa_2,c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_aa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))).
% 7.34/7.38 0 [] -c_Equiv__Relations_Oe_quiv(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_aa_2,V_ba_2),V_r_2)|c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_aa_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_ba_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))).
% 7.34/7.38 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))).
% 7.34/7.38 0 [] c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_aa_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_ba_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))| -c_Equiv__Relations_Oe_quiv(T_a,V_A_2,V_r_2)| -c_member(T_a,V_ba_2,V_A_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),V_r_2).
% 7.34/7.38 0 [] -c_Equiv__Relations_Oe_quiv(T_a,V_A_2,V_r_2)| -c_member(T_a,V_x_2,V_A_2)| -c_member(T_a,V_y_2,V_A_2)|c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_x_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_y_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_x_2,V_y_2),V_r_2).
% 7.34/7.38 0 [] -c_Equiv__Relations_Oe_quiv(T_a,V_A_2,V_r_2)| -c_member(T_a,V_x_2,V_A_2)| -c_member(T_a,V_y_2,V_A_2)|c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_x_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_y_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_x_2,V_y_2),V_r_2).
% 7.34/7.38 0 [] -c_Equiv__Relations_Oe_quiv(T_a,V_A_2,V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),V_r_2)|c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_x_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_y_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))).
% 7.34/7.38 0 [] -c_Equiv__Relations_Oe_quiv(T_a,V_A_2,V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),V_r_2)|c_member(T_a,V_x_2,V_A_2).
% 7.34/7.38 0 [] -c_Equiv__Relations_Oe_quiv(T_a,V_A_2,V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),V_r_2)|c_member(T_a,V_y_2,V_A_2).
% 7.34/7.38 0 [] -c_Equiv__Relations_Oe_quiv(T_a,V_A_2,V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),V_r_2)|c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_x_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_y_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))| -c_member(T_a,V_x_2,V_A_2)| -c_member(T_a,V_y_2,V_A_2).
% 7.34/7.38 0 [] -c_Order__Relation_Opreorder__on(T_a,c_Relation_OField(T_a,V_r_2),V_r_2)| -c_member(T_a,V_aa_2,c_Relation_OField(T_a,V_r_2))| -c_member(T_a,V_ba_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_aa_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_ba_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_ba_2,V_aa_2),V_r_2).
% 7.34/7.38 0 [] -c_Order__Relation_Opreorder__on(T_a,c_Relation_OField(T_a,V_r_2),V_r_2)| -c_member(T_a,V_aa_2,c_Relation_OField(T_a,V_r_2))| -c_member(T_a,V_ba_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_aa_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_ba_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_ba_2,V_aa_2),V_r_2).
% 7.34/7.38 0 [] -c_Equiv__Relations_Oe_quiv(T_a,V_A_2,V_r_2)| -c_member(T_a,V_x_2,V_A_2)| -c_member(T_a,V_y_2,V_A_2)|c_Equiv__Relations_Oquotient(T_a,c_Set_Oinsert(T_a,V_x_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_r_2)!=c_Equiv__Relations_Oquotient(T_a,c_Set_Oinsert(T_a,V_y_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),V_r_2).
% 7.34/7.38 0 [] -c_Equiv__Relations_Oe_quiv(T_a,V_A_2,V_r_2)| -c_member(T_a,V_x_2,V_A_2)| -c_member(T_a,V_y_2,V_A_2)|c_Equiv__Relations_Oquotient(T_a,c_Set_Oinsert(T_a,V_x_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_r_2)=c_Equiv__Relations_Oquotient(T_a,c_Set_Oinsert(T_a,V_y_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),V_r_2).
% 7.34/7.38 0 [] -class_Orderings_Opreorder(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_x).
% 7.34/7.38 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2)|V_A_2=V_B_2.
% 7.34/7.38 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)| -c_member(T_a,V_c_2,V_A_2)|c_member(T_a,V_c_2,V_B_2).
% 7.34/7.38 0 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_A_2).
% 7.34/7.38 0 [] c_Equiv__Relations_Oquotient(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_r_2)=c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)).
% 7.34/7.38 0 [] c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))!=c_Equiv__Relations_Oquotient(T_a,V_A_2,V_r_2)|V_A_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)).
% 7.34/7.38 0 [] c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))=c_Equiv__Relations_Oquotient(T_a,V_A_2,V_r_2)|V_A_2!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)).
% 7.34/7.38 0 [] c_Equiv__Relations_Oquotient(T_a,V_A_2,V_r_2)!=c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))|V_A_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)).
% 7.34/7.38 0 [] c_Equiv__Relations_Oquotient(T_a,V_A_2,V_r_2)=c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))|V_A_2!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)).
% 7.34/7.38 0 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(T_a,V_R_2),c_Transitive__Closure_Ortrancl(T_a,V_S_2)),c_Transitive__Closure_Ortrancl(T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_R_2,V_S_2))).
% 7.34/7.38 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).
% 7.34/7.38 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).
% 7.34/7.38 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).
% 7.34/7.38 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).
% 7.34/7.38 0 [] -class_Lattices_Osemilattice__inf(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,V_y_2)|c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x_2,V_y_2)=V_x_2.
% 7.34/7.38 0 [] -class_Lattices_Osemilattice__inf(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,V_y_2)|c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x_2,V_y_2)!=V_x_2.
% 7.34/7.38 0 [] -class_Lattices_Osemilattice__inf(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_y_2,V_z_2))|c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,V_y_2).
% 7.34/7.38 0 [] -class_Lattices_Osemilattice__inf(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_y_2,V_z_2))|c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,V_z_2).
% 7.34/7.38 0 [] -class_Lattices_Osemilattice__inf(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_y_2,V_z_2))| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,V_y_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,V_z_2).
% 7.34/7.38 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).
% 7.34/7.38 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).
% 7.34/7.38 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.
% 7.34/7.38 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.
% 7.34/7.38 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)).
% 7.34/7.38 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)).
% 7.34/7.38 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)).
% 7.34/7.38 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).
% 7.34/7.38 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).
% 7.34/7.38 0 [] c_Orderings_Oord__class_Oless__e_q(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_A_2).
% 7.34/7.38 0 [] c_Orderings_Oord__class_Oless__e_q(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_B_2).
% 7.34/7.38 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)|c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)=V_A_2.
% 7.34/7.38 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2)|c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)=V_B_2.
% 7.34/7.38 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_A_2)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_B_2)|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_C_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)).
% 7.34/7.38 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__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_D_2)).
% 7.34/7.38 0 [] c_member(T_a,V_x_2,V_A_2)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_x_2,V_B_2))|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2).
% 7.34/7.38 0 [] c_member(T_a,V_x_2,V_A_2)|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_x_2,V_B_2))| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2).
% 7.34/7.38 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_x_2,V_A_2),V_B_2)|c_member(T_a,V_x_2,V_B_2).
% 7.34/7.38 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_x_2,V_A_2),V_B_2)|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2).
% 7.34/7.38 0 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_x_2,V_A_2),V_B_2)| -c_member(T_a,V_x_2,V_B_2)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2).
% 7.34/7.38 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))).
% 7.34/7.38 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))).
% 7.34/7.38 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_x_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))|V_A_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))|V_A_2=c_Set_Oinsert(T_a,V_x_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))).
% 7.34/7.38 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).
% 7.34/7.38 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).
% 7.34/7.38 0 [] -c_member(tc_prod(T_a,T_a),V_p_2,c_Transitive__Closure_Otrancl(T_a,V_r_2))| -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,V_s_2)|c_member(tc_prod(T_a,T_a),V_p_2,c_Transitive__Closure_Otrancl(T_a,V_s_2)).
% 7.34/7.38 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))).
% 7.34/7.38 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).
% 7.34/7.38 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).
% 7.34/7.38 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)).
% 7.34/7.38 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).
% 7.34/7.38 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).
% 7.34/7.38 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.
% 7.34/7.38 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.
% 7.34/7.38 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)).
% 7.34/7.38 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)).
% 7.34/7.38 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_x_2,V_y_2),V_z_2)|c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,V_z_2).
% 7.34/7.38 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_x_2,V_y_2),V_z_2)|c_Orderings_Oord__class_Oless__e_q(T_a,V_y_2,V_z_2).
% 7.34/7.38 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_x_2,V_y_2),V_z_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,V_z_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_y_2,V_z_2).
% 7.34/7.38 0 [] -class_Lattices_Osemilattice__sup(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,V_y_2)|c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x_2,V_y_2)=V_y_2.
% 7.34/7.38 0 [] -class_Lattices_Osemilattice__sup(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,V_y_2)|c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x_2,V_y_2)!=V_y_2.
% 7.34/7.38 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)).
% 7.34/7.38 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)).
% 7.34/7.38 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)).
% 7.34/7.38 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)).
% 7.34/7.38 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,V_s_2)|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Relation_OField(T_a,V_r_2),c_Relation_OField(T_a,V_s_2)).
% 7.34/7.38 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)| -c_member(T_a,V_x_2,V_A_2)|c_member(T_a,V_x_2,V_B_2).
% 7.34/7.38 0 [] -c_member(T_a,V_x_2,V_A_2)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)|c_member(T_a,V_x_2,V_B_2).
% 7.34/7.38 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)| -c_member(T_a,V_x_2,V_A_2)|c_member(T_a,V_x_2,V_B_2).
% 7.34/7.38 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_D_2)|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_aa_2,V_C_2),c_Set_Oinsert(T_a,V_aa_2,V_D_2)).
% 7.34/7.38 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_ba_2,V_B_2)).
% 7.34/7.38 0 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,c_Set_Oinsert(T_a,V_aa_2,V_B_2)).
% 7.34/7.38 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_D_2)|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_D_2)).
% 7.34/7.38 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_C_2).
% 7.34/7.38 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2)|c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)=V_A_2.
% 7.34/7.38 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)|c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)=V_B_2.
% 7.34/7.38 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)|c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)=V_B_2.
% 7.34/7.38 0 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)|c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)!=V_B_2.
% 7.34/7.38 0 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)).
% 7.34/7.38 0 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)).
% 7.34/7.38 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,V_s_2)|c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(T_a,V_r_2),c_Transitive__Closure_Ortrancl(T_a,V_s_2)).
% 7.34/7.38 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_R_2,V_S_2)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_S_2,c_Transitive__Closure_Ortrancl(T_a,V_R_2))|c_Transitive__Closure_Ortrancl(T_a,V_S_2)=c_Transitive__Closure_Ortrancl(T_a,V_R_2).
% 7.34/7.38 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,c_Transitive__Closure_Ortrancl(T_a,V_s_2))|c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(T_a,V_r_2),c_Transitive__Closure_Ortrancl(T_a,V_s_2)).
% 7.34/7.38 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_R1_2,V_R2_2)|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Wellfounded_Oacc(T_a,V_R2_2),c_Wellfounded_Oacc(T_a,V_R1_2)).
% 7.34/7.38 0 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_A_2).
% 7.34/7.38 0 [] V_A_2!=V_B_2|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2).
% 7.34/7.38 0 [] V_A_2!=V_B_2|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2).
% 7.34/7.38 0 [] V_A_2=V_B_2| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2).
% 7.34/7.38 0 [] V_A_2!=V_B_2|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2).
% 7.34/7.38 0 [] V_A_2!=V_B_2|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2).
% 7.34/7.38 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2).
% 7.34/7.38 0 [] V_A_2!=V_B_2|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2).
% 7.34/7.38 0 [] V_A_2!=V_B_2|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2).
% 7.34/7.38 0 [] -hBOOL(hAPP(V_Pa_2,V_x_2))| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_Pa_2,V_Q_2)|hBOOL(hAPP(V_Q_2,V_x_2)).
% 7.34/7.38 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_Pa_2,V_Q_2)| -hBOOL(hAPP(V_Pa_2,V_x_2))|hBOOL(hAPP(V_Q_2,V_x_2)).
% 7.34/7.38 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),V_r_2,V_s_2)|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Relation_ODomain(T_a,T_b,V_r_2),c_Relation_ODomain(T_a,T_b,V_s_2)).
% 7.34/7.38 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),V_r_2,V_s_2)| -c_Relation_Osingle__valued(T_a,T_b,V_s_2)|c_Relation_Osingle__valued(T_a,T_b,V_r_2).
% 7.34/7.38 0 [] -c_Wellfounded_Oacyclic(T_a,V_s_2)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,V_s_2)|c_Wellfounded_Oacyclic(T_a,V_r_2).
% 7.34/7.38 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,V_s_2)| -c_Relation_Oantisym(T_a,V_s_2)|c_Relation_Oantisym(T_a,V_r_2).
% 7.34/7.38 0 [] -c_Wellfounded_Owf(T_a,V_r_2)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_p_2,V_r_2)|c_Wellfounded_Owf(T_a,V_p_2).
% 7.34/7.38 0 [] -class_Orderings_Oord(T_b)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,T_b),V_f_2,V_g_2)|c_Orderings_Oord__class_Oless__e_q(T_b,hAPP(V_f_2,B_x),hAPP(V_g_2,B_x)).
% 7.34/7.38 0 [] -class_Orderings_Oord(T_b)|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,T_b),V_f_2,V_g_2)| -c_Orderings_Oord__class_Oless__e_q(T_b,hAPP(V_f_2,$f95(V_g_2,V_f_2,T_a,T_b)),hAPP(V_g_2,$f95(V_g_2,V_f_2,T_a,T_b))).
% 7.34/7.38 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y)|c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_x).
% 7.34/7.38 0 [] -class_Orderings_Oorder(T_a)|V_x_2!=V_y_2|c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,V_y_2).
% 7.34/7.38 0 [] -class_Orderings_Oorder(T_a)|V_x_2!=V_y_2|c_Orderings_Oord__class_Oless__e_q(T_a,V_y_2,V_x_2).
% 7.34/7.38 0 [] -class_Orderings_Oorder(T_a)|V_x_2=V_y_2| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,V_y_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_y_2,V_x_2).
% 7.34/7.38 0 [] -class_Orderings_Opreorder(T_a)|V_x!=V_y|c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y).
% 7.34/7.38 0 [] -class_Orderings_Oord(T_b)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,T_b),V_f_2,V_g_2)|c_Orderings_Oord__class_Oless__e_q(T_b,hAPP(V_f_2,V_x_2),hAPP(V_g_2,V_x_2)).
% 7.34/7.38 0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_y_2,V_x_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,V_y_2)|V_x_2=V_y_2.
% 7.34/7.38 0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_y_2,V_x_2)|c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,V_y_2)|V_x_2!=V_y_2.
% 7.34/7.38 0 [] -class_Orderings_Oord(T_a)|V_a!=V_b| -c_Orderings_Oord__class_Oless__e_q(T_a,V_b,V_c)|c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_c).
% 7.34/7.38 0 [] -class_Orderings_Oorder(T_a)|V_a!=V_b| -c_Orderings_Oord__class_Oless__e_q(T_a,V_c,V_b)|c_Orderings_Oord__class_Oless__e_q(T_a,V_c,V_a).
% 7.34/7.38 0 [] -class_Orderings_Oord(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_b)|V_b!=V_c|c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_c).
% 7.34/7.38 0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_b,V_a)|V_b!=V_c|c_Orderings_Oord__class_Oless__e_q(T_a,V_c,V_a).
% 7.34/7.38 0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_x)|V_x=V_y.
% 7.34/7.38 0 [] -class_Orderings_Opreorder(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_z)|c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_z).
% 7.34/7.38 0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_x)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y)|V_x=V_y.
% 7.34/7.38 0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_x)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_z,V_y)|c_Orderings_Oord__class_Oless__e_q(T_a,V_z,V_x).
% 7.34/7.39 0 [] -class_Orderings_Oord(T_b)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,T_b),V_f_2,V_g_2)|c_Orderings_Oord__class_Oless__e_q(T_b,hAPP(V_f_2,V_x_2),hAPP(V_g_2,V_x_2)).
% 7.34/7.39 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y)|c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_x).
% 7.34/7.39 0 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))).
% 7.34/7.39 0 [] -class_Orderings_Otop(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_x,c_Orderings_Otop__class_Otop(T_a)).
% 7.34/7.39 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),V_r_H_2,V_r_2)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(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)).
% 7.34/7.39 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))|V_A_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)).
% 7.34/7.39 0 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))|V_A_2!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)).
% 7.34/7.39 0 [] V_A_2!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))|c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_A_2,V_B_2).
% 7.34/7.39 0 [] -class_Orderings_Obot(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,c_Orderings_Obot__class_Obot(T_a),V_x).
% 7.34/7.39 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.
% 7.34/7.39 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)).
% 7.34/7.39 0 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Relation_ODomain(T_a,T_b,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,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_ODomain(T_a,T_b,V_A_2),c_Relation_ODomain(T_a,T_b,V_B_2))).
% 7.34/7.39 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))).
% 7.34/7.39 0 [] c_Equiv__Relations_Oquotient(T_a,c_Set_Oinsert(T_a,V_x_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_r_2)=c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool),c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_x_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))).
% 7.34/7.39 0 [] -c_Equiv__Relations_Oe_quiv(T_a,V_A_2,V_r_2)| -c_member(tc_fun(T_a,tc_HOL_Obool),V_X_2,c_Equiv__Relations_Oquotient(T_a,V_A_2,V_r_2))| -c_member(tc_fun(T_a,tc_HOL_Obool),V_Y_2,c_Equiv__Relations_Oquotient(T_a,V_A_2,V_r_2))|V_X_2=V_Y_2|c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_X_2,V_Y_2)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)).
% 7.34/7.39 0 [] -c_member(T_a,V_x_2,V_A_2)|c_member(tc_fun(T_a,tc_HOL_Obool),c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_x_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),c_Equiv__Relations_Oquotient(T_a,V_A_2,V_r_2)).
% 7.34/7.39 0 [] -c_Equiv__Relations_Oe_quiv(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_aa_2,V_ba_2),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_aa_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_ba_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))).
% 7.34/7.39 0 [] -c_Equiv__Relations_Oe_quiv(T_a,V_A_2,V_r_2)| -c_member(tc_fun(T_a,tc_HOL_Obool),V_X_2,c_Equiv__Relations_Oquotient(T_a,V_A_2,V_r_2))| -c_member(tc_fun(T_a,tc_HOL_Obool),V_Y_2,c_Equiv__Relations_Oquotient(T_a,V_A_2,V_r_2))| -c_member(T_a,V_x_2,V_X_2)| -c_member(T_a,V_y_2,V_Y_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),V_r_2)|V_X_2=V_Y_2.
% 7.34/7.39 0 [] -c_Equiv__Relations_Oe_quiv(T_a,V_A_2,V_r_2)| -c_member(tc_fun(T_a,tc_HOL_Obool),V_X_2,c_Equiv__Relations_Oquotient(T_a,V_A_2,V_r_2))| -c_member(tc_fun(T_a,tc_HOL_Obool),V_Y_2,c_Equiv__Relations_Oquotient(T_a,V_A_2,V_r_2))| -c_member(T_a,V_x_2,V_X_2)| -c_member(T_a,V_y_2,V_Y_2)|V_X_2!=V_Y_2|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),V_r_2).
% 7.34/7.39 0 [] -c_Equiv__Relations_Oe_quiv(T_a,V_A_2,V_r_2)| -c_member(tc_fun(T_a,tc_HOL_Obool),V_X_2,c_Equiv__Relations_Oquotient(T_a,V_A_2,V_r_2))| -c_member(tc_fun(T_a,tc_HOL_Obool),V_Y_2,c_Equiv__Relations_Oquotient(T_a,V_A_2,V_r_2))| -c_member(T_a,V_x_2,V_X_2)| -c_member(T_a,V_y_2,V_Y_2)|V_X_2=V_Y_2| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),V_r_2).
% 7.34/7.39 0 [] -c_Equiv__Relations_Oe_quiv(T_a,V_A_2,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_ba_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_aa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))| -c_member(T_a,V_ba_2,V_A_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),V_r_2).
% 7.34/7.39 0 [] class_Lattices_Obounded__lattice(tc_HOL_Obool).
% 7.34/7.39 0 [] -class_Lattices_Obounded__lattice(T_1)|class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)).
% 7.34/7.39 0 [] -class_Lattices_Obounded__lattice(T_1)|class_Lattices_Obounded__lattice__top(tc_fun(T_2,T_1)).
% 7.34/7.39 0 [] -class_Lattices_Obounded__lattice(T_1)|class_Lattices_Obounded__lattice__bot(tc_fun(T_2,T_1)).
% 7.34/7.39 0 [] -class_Lattices_Olattice(T_1)|class_Lattices_Osemilattice__sup(tc_fun(T_2,T_1)).
% 7.34/7.39 0 [] -class_Lattices_Olattice(T_1)|class_Lattices_Osemilattice__inf(tc_fun(T_2,T_1)).
% 7.34/7.39 0 [] -class_Lattices_Odistrib__lattice(T_1)|class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1)).
% 7.34/7.39 0 [] -class_Orderings_Opreorder(T_1)|class_Orderings_Opreorder(tc_fun(T_2,T_1)).
% 7.34/7.39 0 [] -class_Lattices_Olattice(T_1)|class_Lattices_Olattice(tc_fun(T_2,T_1)).
% 7.34/7.39 0 [] -class_Orderings_Oorder(T_1)|class_Orderings_Oorder(tc_fun(T_2,T_1)).
% 7.34/7.39 0 [] -class_Orderings_Otop(T_1)|class_Orderings_Otop(tc_fun(T_2,T_1)).
% 7.34/7.39 0 [] -class_Orderings_Oord(T_1)|class_Orderings_Oord(tc_fun(T_2,T_1)).
% 7.34/7.39 0 [] -class_Orderings_Obot(T_1)|class_Orderings_Obot(tc_fun(T_2,T_1)).
% 7.34/7.39 0 [] class_Lattices_Obounded__lattice__top(tc_HOL_Obool).
% 7.34/7.39 0 [] class_Lattices_Obounded__lattice__bot(tc_HOL_Obool).
% 7.34/7.39 0 [] class_Lattices_Osemilattice__sup(tc_HOL_Obool).
% 7.34/7.39 0 [] class_Lattices_Osemilattice__inf(tc_HOL_Obool).
% 7.34/7.39 0 [] class_Lattices_Odistrib__lattice(tc_HOL_Obool).
% 7.34/7.39 0 [] class_Orderings_Opreorder(tc_HOL_Obool).
% 7.34/7.39 0 [] class_Lattices_Olattice(tc_HOL_Obool).
% 7.34/7.39 0 [] class_Orderings_Oorder(tc_HOL_Obool).
% 7.34/7.39 0 [] class_Orderings_Otop(tc_HOL_Obool).
% 7.34/7.39 0 [] class_Orderings_Oord(tc_HOL_Obool).
% 7.34/7.39 0 [] class_Orderings_Obot(tc_HOL_Obool).
% 7.34/7.39 0 [] -hBOOL(hAPP(c_fe_qual(V_x_2),V_y_2))|V_x_2=V_y_2.
% 7.34/7.39 0 [] V_x_2!=V_y_2|hBOOL(hAPP(c_fe_qual(V_x_2),V_y_2)).
% 7.34/7.39 0 [] c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_F,v_P_H____)).
% 7.34/7.39 0 [] -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_F,v_P____))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_F,v_P_H____)).
% 7.34/7.39 end_of_list.
% 7.34/7.39
% 7.34/7.39 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=10.
% 7.34/7.39
% 7.34/7.39 This ia a non-Horn set with equality. The strategy will be
% 7.34/7.39 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 7.34/7.39 deletion, with positive clauses in sos and nonpositive
% 7.34/7.39 clauses in usable.
% 7.34/7.39
% 7.34/7.39 dependent: set(knuth_bendix).
% 7.34/7.39 dependent: set(anl_eq).
% 7.34/7.39 dependent: set(para_from).
% 7.34/7.39 dependent: set(para_into).
% 7.34/7.39 dependent: clear(para_from_right).
% 7.34/7.39 dependent: clear(para_into_right).
% 7.34/7.39 dependent: set(para_from_vars).
% 7.34/7.39 dependent: set(eq_units_both_ways).
% 7.34/7.39 dependent: set(dynamic_demod_all).
% 7.34/7.39 dependent: set(dynamic_demod).
% 7.34/7.39 dependent: set(order_eq).
% 7.34/7.39 dependent: set(back_demod).
% 7.34/7.39 dependent: set(lrpo).
% 7.34/7.39 dependent: set(hyper_res).
% 7.34/7.39 dependent: set(unit_deletion).
% 7.34/7.39 dependent: set(factor).
% 7.34/7.39
% 7.34/7.39 ------------> process usable:
% 7.34/7.39 ** KEPT (pick-wt=14): 1 [] hAPP(A,$f1(B,A))!=hAPP(B,$f1(B,A))|A=B.
% 7.34/7.39 ** KEPT (pick-wt=3): 3 [copy,2,flip.1] v_b____!=v_a____.
% 7.34/7.39 ** KEPT (pick-wt=3): 5 [copy,4,flip.1] v_b_H____!=v_a____.
% 7.34/7.39 ** KEPT (pick-wt=3): 6 [] v_b____!=v_a_H____.
% 7.34/7.39 ** KEPT (pick-wt=3): 8 [copy,7,flip.1] v_b_H____!=v_a_H____.
% 7.34/7.39 ** KEPT (pick-wt=24): 9 [] -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,A))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_P_H____,A)).
% 7.34/7.39 ** KEPT (pick-wt=24): 10 [] c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,A))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a_H____,v_b_H____),hAPP(v_P_H____,A)).
% 7.34/7.39 ** KEPT (pick-wt=11): 11 [] A!=B|c_member(C,D,A)| -c_member(C,D,B).
% 7.34/7.39 ** KEPT (pick-wt=11): 12 [] A!=B|c_member(C,D,B)| -c_member(C,D,A).
% 7.34/7.39 ** KEPT (pick-wt=15): 13 [] -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,B),c_Arrow__Order__Mirabelle_Omkbot(C,D))|B!=D.
% 7.34/7.39 ** KEPT (pick-wt=18): 14 [] -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,B),c_Arrow__Order__Mirabelle_Omkbot(C,D))|A!=D|A!=B.
% 7.34/7.39 ** KEPT (pick-wt=25): 15 [] -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,B),c_Arrow__Order__Mirabelle_Omkbot(C,D))|A=D|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,B),C).
% 7.34/7.39 ** KEPT (pick-wt=28): 16 [] c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,B),c_Arrow__Order__Mirabelle_Omkbot(C,D))|B=D|A=D| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,B),C).
% 7.34/7.39 ** KEPT (pick-wt=21): 17 [] c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,B),c_Arrow__Order__Mirabelle_Omkbot(C,D))|B=D|A=B|A!=D.
% 7.34/7.39 ** KEPT (pick-wt=28): 18 [] c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,B),c_Arrow__Order__Mirabelle_Omkbot(C,D))|B=D|A=B| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,B),C).
% 7.34/7.39 ** KEPT (pick-wt=15): 19 [] -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,B),c_Arrow__Order__Mirabelle_Omktop(C,D))|A!=D.
% 7.34/7.39 ** KEPT (pick-wt=18): 20 [] -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,B),c_Arrow__Order__Mirabelle_Omktop(C,D))|B!=D|A!=B.
% 7.34/7.39 ** KEPT (pick-wt=25): 21 [] -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,B),c_Arrow__Order__Mirabelle_Omktop(C,D))|B=D|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,B),C).
% 7.34/7.39 ** KEPT (pick-wt=28): 22 [] c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,B),c_Arrow__Order__Mirabelle_Omktop(C,D))|A=D|B=D| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,B),C).
% 7.34/7.39 ** KEPT (pick-wt=21): 23 [] c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,B),c_Arrow__Order__Mirabelle_Omktop(C,D))|A=D|A=B|B!=D.
% 7.34/7.39 ** KEPT (pick-wt=28): 24 [] c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,B),c_Arrow__Order__Mirabelle_Omktop(C,D))|A=D|A=B| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,B),C).
% 7.34/7.39 ** KEPT (pick-wt=92): 25 [] A=B|C=D|A=D|B=C| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),E,c_Arrow__Order__Mirabelle_OProf)| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),F,c_Arrow__Order__Mirabelle_OProf)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,B),hAPP(E,$f2(F,E,D,C,B,A)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,C,D),hAPP(F,$f2(F,E,D,C,B,A)))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,B),hAPP(v_F,E))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,C,D),hAPP(v_F,F)).
% 7.34/7.39 ** KEPT (pick-wt=92): 26 [] A=B|C=D|A=D|B=C| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),E,c_Arrow__Order__Mirabelle_OProf)| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),F,c_Arrow__Order__Mirabelle_OProf)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,B),hAPP(E,$f2(F,E,D,C,B,A)))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,C,D),hAPP(F,$f2(F,E,D,C,B,A)))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,B),hAPP(v_F,E))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,C,D),hAPP(v_F,F)).
% 7.34/7.39 ** KEPT (pick-wt=19): 27 [] -hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(A,B,C),D),E))|c_member(tc_prod(A,B),c_Product__Type_OPair(A,B,D,E),C).
% 7.34/7.39 ** KEPT (pick-wt=19): 28 [] hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(A,B,C),D),E))| -c_member(tc_prod(A,B),c_Product__Type_OPair(A,B,D,E),C).
% 7.34/7.39 ** KEPT (pick-wt=46): 29 [] -hBOOL(hAPP(A,B))| -c_member(tc_prod(C,C),c_Product__Type_OPair(C,C,D,E),hAPP(F,B))|c_member(tc_prod(tc_prod(G,C),tc_prod(G,C)),c_Product__Type_OPair(tc_prod(G,C),tc_prod(G,C),c_Product__Type_OPair(G,C,B,D),c_Product__Type_OPair(G,C,B,E)),c_Recdef_Osame__fst(G,C,A,F)).
% 7.34/7.39 ** KEPT (pick-wt=13): 30 [] -c_Nitpick_Orefl_H(A,B)|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,C),B).
% 7.34/7.39 ** KEPT (pick-wt=17): 31 [] c_Nitpick_Orefl_H(A,B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f3(B,A),$f3(B,A)),B).
% 7.34/7.39 ** KEPT (pick-wt=15): 32 [] -hBOOL(hAPP(A,$f4(B,C,A)))|hBOOL(hAPP(A,c_Product__Type_OPair(C,B,D,E))).
% 7.34/7.39 ** KEPT (pick-wt=18): 33 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(A,c_Product__Type_OPair(C,D,$f6(D,C,A),$f5(D,C,A)))).
% 7.34/7.39 ** KEPT (pick-wt=14): 34 [] c_Product__Type_OPair(A,B,C,D)!=c_Product__Type_OPair(A,B,E,F)|C=E.
% 7.34/7.39 ** KEPT (pick-wt=14): 35 [] c_Product__Type_OPair(A,B,C,D)!=c_Product__Type_OPair(A,B,E,F)|D=F.
% 7.34/7.39 ** KEPT (pick-wt=17): 36 [] c_Product__Type_OPair(A,B,C,D)=c_Product__Type_OPair(A,B,E,F)|C!=E|D!=F.
% 7.34/7.39 Following clause subsumed by 34 during input processing: 0 [] c_Product__Type_OPair(A,B,C,D)!=c_Product__Type_OPair(A,B,E,F)|C=E.
% 7.34/7.39 Following clause subsumed by 35 during input processing: 0 [] c_Product__Type_OPair(A,B,C,D)!=c_Product__Type_OPair(A,B,E,F)|D=F.
% 7.34/7.39 ** KEPT (pick-wt=11): 37 [] A!=B| -c_member(C,B,D)|c_member(C,A,D).
% 7.34/7.39 ** KEPT (pick-wt=11): 38 [] A!=B| -c_member(C,A,D)|c_member(C,B,D).
% 7.34/7.39 Following clause subsumed by 37 during input processing: 0 [] A!=B|c_member(C,A,D)| -c_member(C,B,D).
% 7.34/7.39 Following clause subsumed by 12 during input processing: 0 [] A!=B| -c_member(C,D,A)|c_member(C,D,B).
% 7.34/7.39 Following clause subsumed by 11 during input processing: 0 [] A!=B|c_member(C,D,A)| -c_member(C,D,B).
% 7.34/7.39 ** KEPT (pick-wt=8): 39 [] -c_member(A,B,C)|hBOOL(hAPP(C,B)).
% 7.34/7.39 ** KEPT (pick-wt=8): 40 [] c_member(A,B,C)| -hBOOL(hAPP(C,B)).
% 7.34/7.39 ** KEPT (pick-wt=80): 41 [] -c_Arrow__Order__Mirabelle_OIIA(A)| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),B,c_Arrow__Order__Mirabelle_OProf)| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),C,c_Arrow__Order__Mirabelle_OProf)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),hAPP(B,$f7(A,B,C,D,E)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),hAPP(C,$f7(A,B,C,D,E)))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),hAPP(A,B))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),hAPP(A,C)).
% 7.34/7.39 ** KEPT (pick-wt=80): 42 [] -c_Arrow__Order__Mirabelle_OIIA(A)| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),B,c_Arrow__Order__Mirabelle_OProf)| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),C,c_Arrow__Order__Mirabelle_OProf)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),hAPP(B,$f7(A,B,C,D,E)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),hAPP(C,$f7(A,B,C,D,E)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),hAPP(A,B))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),hAPP(A,C)).
% 7.34/7.39 ** KEPT (pick-wt=80): 43 [] -c_Arrow__Order__Mirabelle_OIIA(A)| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),B,c_Arrow__Order__Mirabelle_OProf)| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),C,c_Arrow__Order__Mirabelle_OProf)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),hAPP(B,$f7(A,B,C,D,E)))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),hAPP(C,$f7(A,B,C,D,E)))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),hAPP(A,B))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),hAPP(A,C)).
% 7.34/7.39 ** KEPT (pick-wt=80): 44 [] -c_Arrow__Order__Mirabelle_OIIA(A)| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),B,c_Arrow__Order__Mirabelle_OProf)| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),C,c_Arrow__Order__Mirabelle_OProf)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),hAPP(B,$f7(A,B,C,D,E)))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),hAPP(C,$f7(A,B,C,D,E)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),hAPP(A,B))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),hAPP(A,C)).
% 7.34/7.39 ** KEPT (pick-wt=32): 45 [] c_Arrow__Order__Mirabelle_OIIA(A)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,$f9(A),$f8(A)),hAPP($f11(A),B))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,$f9(A),$f8(A)),hAPP($f10(A),B)).
% 7.34/7.39 ** KEPT (pick-wt=32): 46 [] c_Arrow__Order__Mirabelle_OIIA(A)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,$f9(A),$f8(A)),hAPP($f11(A),B))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,$f9(A),$f8(A)),hAPP($f10(A),B)).
% 7.34/7.39 ** KEPT (pick-wt=32): 47 [] c_Arrow__Order__Mirabelle_OIIA(A)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,$f9(A),$f8(A)),hAPP(A,$f11(A)))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,$f9(A),$f8(A)),hAPP(A,$f10(A))).
% 7.34/7.39 ** KEPT (pick-wt=40): 48 [] -c_Arrow__Order__Mirabelle_Ounanimity(A)| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),B,c_Arrow__Order__Mirabelle_OProf)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,C,D),hAPP(B,$f12(A,B,C,D)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,C,D),hAPP(A,B)).
% 7.34/7.39 ** KEPT (pick-wt=17): 49 [] c_Arrow__Order__Mirabelle_Ounanimity(A)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,$f14(A),$f13(A)),hAPP(A,$f15(A))).
% 7.34/7.39 ** KEPT (pick-wt=43): 50 [] -c_member(tc_prod(tc_prod(A,B),tc_prod(A,B)),c_Product__Type_OPair(tc_prod(A,B),tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),c_Product__Type_OPair(A,B,E,F)),c_Wellfounded_Olex__prod(A,B,G,H))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,E),G)|C=E.
% 7.34/7.39 ** KEPT (pick-wt=50): 51 [] -c_member(tc_prod(tc_prod(A,B),tc_prod(A,B)),c_Product__Type_OPair(tc_prod(A,B),tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),c_Product__Type_OPair(A,B,E,F)),c_Wellfounded_Olex__prod(A,B,G,H))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,E),G)|c_member(tc_prod(B,B),c_Product__Type_OPair(B,B,D,F),H).
% 7.34/7.39 ** KEPT (pick-wt=40): 52 [] c_member(tc_prod(tc_prod(A,B),tc_prod(A,B)),c_Product__Type_OPair(tc_prod(A,B),tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),c_Product__Type_OPair(A,B,E,F)),c_Wellfounded_Olex__prod(A,B,G,H))| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,E),G).
% 7.34/7.39 ** KEPT (pick-wt=43): 53 [] c_member(tc_prod(tc_prod(A,B),tc_prod(A,B)),c_Product__Type_OPair(tc_prod(A,B),tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),c_Product__Type_OPair(A,B,E,F)),c_Wellfounded_Olex__prod(A,B,G,H))|C!=E| -c_member(tc_prod(B,B),c_Product__Type_OPair(B,B,D,F),H).
% 7.34/7.39 ** KEPT (pick-wt=20): 54 [] -c_Arrow__Order__Mirabelle_Odictator(A,B)| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),C,c_Arrow__Order__Mirabelle_OProf)|hAPP(A,C)=hAPP(C,B).
% 7.34/7.39 ** KEPT (pick-wt=14): 56 [copy,55,flip.2] c_Arrow__Order__Mirabelle_Odictator(A,B)|hAPP($f16(B,A),B)!=hAPP(A,$f16(B,A)).
% 7.34/7.39 ** KEPT (pick-wt=28): 58 [copy,57,flip.2] -c_Recdef_Owfrec__rel(A,B,C,D,E,hAPP(hAPP(D,F),E))|hAPP(hAPP(D,$f17(F,E,D,C,B,A)),E)=hAPP(hAPP(D,F),E).
% 7.34/7.39 ** KEPT (pick-wt=36): 59 [] -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($f17(F,E,D,C,B,A),G)).
% 7.34/7.39 ** KEPT (pick-wt=39): 60 [] c_Recdef_Owfrec__rel(A,B,C,D,E,hAPP(hAPP(D,F),E))|hAPP(hAPP(D,F),E)!=hAPP(hAPP(D,G),E)|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f18(F,E,D,C,B,A,G),E),C).
% 7.34/7.39 ** KEPT (pick-wt=45): 61 [] 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,$f18(F,E,D,C,B,A,G),hAPP(G,$f18(F,E,D,C,B,A,G))).
% 7.34/7.39 ** KEPT (pick-wt=28): 62 [] -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),A,c_Arrow__Order__Mirabelle_OLin)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B,C),A)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,C,B),A).
% 7.34/7.39 ** KEPT (pick-wt=31): 63 [] -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),A,c_Arrow__Order__Mirabelle_OLin)|B=C|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B,C),A)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,C,B),A).
% 7.34/7.39 Following clause subsumed by 62 during input processing: 0 [] -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),A,c_Arrow__Order__Mirabelle_OLin)|B=C| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B,C),A)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,C,B),A).
% 7.34/7.39 ** KEPT (pick-wt=16): 64 [] -hBOOL(hAPP(A,c_Product__Type_OPair(B,C,D,E)))|hBOOL(c_Product__Type_Ocurry(B,C,tc_HOL_Obool,A,D,E)).
% 7.34/7.39 ** KEPT (pick-wt=22): 65 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),D)|hAPP(c_Recdef_Ocut(A,E,F,D,C),B)=hAPP(F,B).
% 7.34/7.39 ** KEPT (pick-wt=16): 66 [] -hBOOL(c_Product__Type_Ocurry(A,B,tc_HOL_Obool,C,D,E))|hBOOL(hAPP(C,c_Product__Type_OPair(A,B,D,E))).
% 7.34/7.39 Following clause subsumed by 66 during input processing: 0 [] -hBOOL(c_Product__Type_Ocurry(A,B,tc_HOL_Obool,C,D,E))|hBOOL(hAPP(C,c_Product__Type_OPair(A,B,D,E))).
% 7.34/7.39 ** KEPT (pick-wt=18): 67 [] -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),A,c_Arrow__Order__Mirabelle_OLin)|c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_Omktop(A,B),c_Arrow__Order__Mirabelle_OLin).
% 7.34/7.39 ** KEPT (pick-wt=18): 68 [] -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),A,c_Arrow__Order__Mirabelle_OLin)|c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_Omkbot(A,B),c_Arrow__Order__Mirabelle_OLin).
% 7.34/7.39 Following clause subsumed by 65 during input processing: 0 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),D)|hAPP(c_Recdef_Ocut(A,E,F,D,C),B)=hAPP(F,B).
% 7.34/7.39 ** KEPT (pick-wt=30): 69 [] c_Recdef_Ocut(A,B,C,D,E)!=c_Recdef_Ocut(A,B,F,D,E)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,G,E),D)|hAPP(C,G)=hAPP(F,G).
% 7.34/7.39 ** KEPT (pick-wt=32): 70 [] c_Recdef_Ocut(A,B,C,D,E)=c_Recdef_Ocut(A,B,F,D,E)|hAPP(C,$f19(F,E,D,C,B,A))!=hAPP(F,$f19(F,E,D,C,B,A)).
% 7.34/7.39 ** KEPT (pick-wt=27): 71 [] A=B| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),C,c_Arrow__Order__Mirabelle_OLin)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),c_Arrow__Order__Mirabelle_Oabove(C,A,B))|D!=E.
% 7.34/7.39 ** KEPT (pick-wt=37): 72 [] A=B| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),C,c_Arrow__Order__Mirabelle_OLin)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),c_Arrow__Order__Mirabelle_Oabove(C,A,B))|D!=B|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,E),C).
% 7.34/7.39 ** KEPT (pick-wt=43): 73 [] A=B| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),C,c_Arrow__Order__Mirabelle_OLin)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),c_Arrow__Order__Mirabelle_Oabove(C,A,B))|D=B|E!=B|D=A|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,A),C).
% 7.34/7.39 ** KEPT (pick-wt=40): 74 [] A=B| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),C,c_Arrow__Order__Mirabelle_OLin)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),c_Arrow__Order__Mirabelle_Oabove(C,A,B))|D=B|E=B|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),C).
% 7.34/7.39 ** KEPT (pick-wt=43): 75 [] A=B| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),C,c_Arrow__Order__Mirabelle_OLin)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),c_Arrow__Order__Mirabelle_Oabove(C,A,B))|D=E|D=B|E=B| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),C).
% 7.34/7.39 ** KEPT (pick-wt=36): 76 [] A=B| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),C,c_Arrow__Order__Mirabelle_OLin)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),c_Arrow__Order__Mirabelle_Oabove(C,A,B))|D=E|D=B|D!=A|E!=B.
% 7.34/7.39 ** KEPT (pick-wt=43): 77 [] A=B| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),C,c_Arrow__Order__Mirabelle_OLin)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),c_Arrow__Order__Mirabelle_Oabove(C,A,B))|D=E|D=B|D!=A| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),C).
% 7.34/7.39 ** KEPT (pick-wt=43): 78 [] A=B| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),C,c_Arrow__Order__Mirabelle_OLin)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),c_Arrow__Order__Mirabelle_Oabove(C,A,B))|D=E|D=B| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,A),C)|E!=B.
% 7.34/7.39 ** KEPT (pick-wt=50): 79 [] A=B| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),C,c_Arrow__Order__Mirabelle_OLin)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),c_Arrow__Order__Mirabelle_Oabove(C,A,B))|D=E|D=B| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,A),C)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),C).
% 7.34/7.39 ** KEPT (pick-wt=40): 80 [] A=B| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),C,c_Arrow__Order__Mirabelle_OLin)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),c_Arrow__Order__Mirabelle_Oabove(C,A,B))|D=E| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,E),C)|D!=B.
% 7.34/7.40 ** KEPT (pick-wt=50): 81 [] A=B| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),C,c_Arrow__Order__Mirabelle_OLin)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),c_Arrow__Order__Mirabelle_Oabove(C,A,B))|D=E| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,E),C)|E=B| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),C).
% 7.34/7.40 ** KEPT (pick-wt=43): 82 [] A=B| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),C,c_Arrow__Order__Mirabelle_OLin)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),c_Arrow__Order__Mirabelle_Oabove(C,A,B))|D=E| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,E),C)|D!=A|E!=B.
% 7.34/7.40 ** KEPT (pick-wt=50): 83 [] A=B| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),C,c_Arrow__Order__Mirabelle_OLin)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),c_Arrow__Order__Mirabelle_Oabove(C,A,B))|D=E| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,E),C)|D!=A| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),C).
% 7.34/7.40 ** KEPT (pick-wt=50): 84 [] A=B| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),C,c_Arrow__Order__Mirabelle_OLin)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),c_Arrow__Order__Mirabelle_Oabove(C,A,B))|D=E| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,E),C)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,A),C)|E!=B.
% 7.34/7.40 ** KEPT (pick-wt=57): 85 [] A=B| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),C,c_Arrow__Order__Mirabelle_OLin)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),c_Arrow__Order__Mirabelle_Oabove(C,A,B))|D=E| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,E),C)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,A),C)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),C).
% 7.34/7.40 ** KEPT (pick-wt=27): 86 [] A=B| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),C,c_Arrow__Order__Mirabelle_OLin)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),c_Arrow__Order__Mirabelle_Obelow(C,A,B))|D!=E.
% 7.34/7.40 ** KEPT (pick-wt=37): 87 [] A=B| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),C,c_Arrow__Order__Mirabelle_OLin)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),c_Arrow__Order__Mirabelle_Obelow(C,A,B))|E!=A|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,B),C).
% 7.34/7.40 ** KEPT (pick-wt=43): 88 [] A=B| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),C,c_Arrow__Order__Mirabelle_OLin)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),c_Arrow__Order__Mirabelle_Obelow(C,A,B))|E=A|D!=A|E=B|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B,E),C).
% 7.34/7.40 ** KEPT (pick-wt=40): 89 [] A=B| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),C,c_Arrow__Order__Mirabelle_OLin)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),c_Arrow__Order__Mirabelle_Obelow(C,A,B))|E=A|D=A|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),C).
% 7.34/7.40 ** KEPT (pick-wt=43): 90 [] A=B| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),C,c_Arrow__Order__Mirabelle_OLin)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),c_Arrow__Order__Mirabelle_Obelow(C,A,B))|D=E|E=A|D=A| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),C).
% 7.34/7.40 ** KEPT (pick-wt=36): 91 [] A=B| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),C,c_Arrow__Order__Mirabelle_OLin)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),c_Arrow__Order__Mirabelle_Obelow(C,A,B))|D=E|E=A|E!=B|D!=A.
% 7.34/7.40 ** KEPT (pick-wt=43): 92 [] A=B| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),C,c_Arrow__Order__Mirabelle_OLin)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),c_Arrow__Order__Mirabelle_Obelow(C,A,B))|D=E|E=A|E!=B| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),C).
% 7.34/7.40 ** KEPT (pick-wt=43): 93 [] A=B| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),C,c_Arrow__Order__Mirabelle_OLin)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),c_Arrow__Order__Mirabelle_Obelow(C,A,B))|D=E|E=A| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B,E),C)|D!=A.
% 7.34/7.40 ** KEPT (pick-wt=50): 94 [] A=B| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),C,c_Arrow__Order__Mirabelle_OLin)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),c_Arrow__Order__Mirabelle_Obelow(C,A,B))|D=E|E=A| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B,E),C)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),C).
% 7.34/7.40 ** KEPT (pick-wt=40): 95 [] A=B| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),C,c_Arrow__Order__Mirabelle_OLin)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),c_Arrow__Order__Mirabelle_Obelow(C,A,B))|D=E| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,B),C)|E!=A.
% 7.34/7.40 ** KEPT (pick-wt=50): 96 [] A=B| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),C,c_Arrow__Order__Mirabelle_OLin)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),c_Arrow__Order__Mirabelle_Obelow(C,A,B))|D=E| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,B),C)|D=A| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),C).
% 7.34/7.40 ** KEPT (pick-wt=43): 97 [] A=B| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),C,c_Arrow__Order__Mirabelle_OLin)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),c_Arrow__Order__Mirabelle_Obelow(C,A,B))|D=E| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,B),C)|E!=B|D!=A.
% 7.34/7.40 ** KEPT (pick-wt=50): 98 [] A=B| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),C,c_Arrow__Order__Mirabelle_OLin)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),c_Arrow__Order__Mirabelle_Obelow(C,A,B))|D=E| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,B),C)|E!=B| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),C).
% 7.34/7.40 ** KEPT (pick-wt=50): 99 [] A=B| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),C,c_Arrow__Order__Mirabelle_OLin)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),c_Arrow__Order__Mirabelle_Obelow(C,A,B))|D=E| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,B),C)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B,E),C)|D!=A.
% 7.34/7.40 ** KEPT (pick-wt=57): 100 [] A=B| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),C,c_Arrow__Order__Mirabelle_OLin)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),c_Arrow__Order__Mirabelle_Obelow(C,A,B))|D=E| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,B),C)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B,E),C)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),C).
% 7.34/7.40 ** KEPT (pick-wt=22): 101 [] A=B| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),C,c_Arrow__Order__Mirabelle_OLin)|c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_Oabove(C,A,B),c_Arrow__Order__Mirabelle_OLin).
% 7.34/7.40 ** KEPT (pick-wt=22): 102 [] A=B| -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),C,c_Arrow__Order__Mirabelle_OLin)|c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_Obelow(C,A,B),c_Arrow__Order__Mirabelle_OLin).
% 7.34/7.40 ** KEPT (pick-wt=20): 104 [copy,103,flip.2] -c_Recdef_Owfrec__rel(A,B,C,D,E,F)|hAPP(hAPP(D,$f21(F,E,D,C,B,A)),E)=F.
% 7.34/7.40 ** KEPT (pick-wt=32): 105 [] -c_Recdef_Owfrec__rel(A,B,C,D,E,F)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,G,E),C)|c_Recdef_Owfrec__rel(A,B,C,D,G,hAPP($f21(F,E,D,C,B,A),G)).
% 7.34/7.40 ** KEPT (pick-wt=31): 106 [] 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,$f22(F,E,D,C,B,A,G),E),C).
% 7.34/7.40 ** KEPT (pick-wt=37): 107 [] c_Recdef_Owfrec__rel(A,B,C,D,E,F)|F!=hAPP(hAPP(D,G),E)| -c_Recdef_Owfrec__rel(A,B,C,D,$f22(F,E,D,C,B,A,G),hAPP(G,$f22(F,E,D,C,B,A,G))).
% 7.34/7.40 ** KEPT (pick-wt=32): 108 [] -c_Recdef_Owfrec__rel(A,B,C,D,$f23(E,D,B,C,F,A),hAPP(E,$f23(E,D,B,C,F,A)))|c_Recdef_Owfrec__rel(A,B,C,D,F,hAPP(hAPP(D,E),F)).
% 7.34/7.40 ** KEPT (pick-wt=22): 109 [] -c_member(A,B,c_Wellfounded_Oacc(A,C))| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,D,B),C)|c_member(A,D,c_Wellfounded_Oacc(A,C)).
% 7.34/7.40 ** KEPT (pick-wt=15): 110 [] c_member(A,B,c_Wellfounded_Oacc(A,C))| -c_member(A,$f24(C,B,A),c_Wellfounded_Oacc(A,C)).
% 7.34/7.40 Following clause subsumed by 109 during input processing: 0 [] -c_member(A,B,c_Wellfounded_Oacc(A,C))| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,D,B),C)|c_member(A,D,c_Wellfounded_Oacc(A,C)).
% 7.34/7.40 ** KEPT (pick-wt=15): 111 [] c_member(A,B,c_Wellfounded_Oacc(A,C))| -c_member(A,$f25(C,B,A),c_Wellfounded_Oacc(A,C)).
% 7.34/7.40 ** KEPT (pick-wt=15): 112 [] -c_member(A,$f26(B,C,A),c_Wellfounded_Oacc(A,B))|c_member(A,C,c_Wellfounded_Oacc(A,B)).
% 7.34/7.40 ** KEPT (pick-wt=24): 113 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))| -c_member(A,C,c_Wellfounded_Oacc(A,D))|c_member(A,B,c_Wellfounded_Oacc(A,D)).
% 7.34/7.40 Following clause subsumed by 113 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)).
% 7.34/7.40 ** KEPT (pick-wt=8): 114 [] -c_member(A,B,c_fe_qual(C))|B=C.
% 7.34/7.40 ** KEPT (pick-wt=8): 115 [] c_member(A,B,c_fe_qual(C))|B!=C.
% 7.34/7.40 ** KEPT (pick-wt=24): 116 [] -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)).
% 7.34/7.40 ** KEPT (pick-wt=13): 117 [] -c_Relation_Oirrefl(A,B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,C),B).
% 7.34/7.40 ** KEPT (pick-wt=17): 118 [] -c_member(tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),E)|c_member(B,D,c_Relation_ORange(A,B,E)).
% 7.34/7.40 ** KEPT (pick-wt=21): 119 [] -c_member(A,B,c_Relation_ORange(C,A,D))|c_member(tc_prod(C,A),c_Product__Type_OPair(C,A,$f28(D,C,B,A),B),D).
% 7.34/7.40 Following clause subsumed by 118 during input processing: 0 [] c_member(A,B,c_Relation_ORange(C,A,D))| -c_member(tc_prod(C,A),c_Product__Type_OPair(C,A,E,B),D).
% 7.34/7.40 ** KEPT (pick-wt=18): 120 [] -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).
% 7.34/7.40 ** KEPT (pick-wt=20): 121 [] -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)).
% 7.34/7.40 Following clause subsumed by 116 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)).
% 7.34/7.40 Following clause subsumed by 120 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).
% 7.34/7.40 Following clause subsumed by 121 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)).
% 7.34/7.40 Following clause subsumed by 120 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).
% 7.34/7.40 Following clause subsumed by 121 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)).
% 7.34/7.40 ** KEPT (pick-wt=14): 122 [] -c_member(tc_prod(A,A),B,C)|c_member(tc_prod(A,A),B,c_Transitive__Closure_Ortrancl(A,C)).
% 7.34/7.40 ** KEPT (pick-wt=34): 123 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),D)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,E),c_Transitive__Closure_Ortrancl(A,D))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,E),c_Transitive__Closure_Ortrancl(A,D)).
% 7.34/7.40 ** KEPT (pick-wt=34): 124 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,E),D)|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,E),c_Transitive__Closure_Ortrancl(A,D)).
% 7.34/7.40 ** KEPT (pick-wt=36): 125 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,E),c_Transitive__Closure_Ortrancl(A,D))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,E),c_Transitive__Closure_Ortrancl(A,D)).
% 7.34/7.40 ** KEPT (pick-wt=21): 126 [] -c_member(A,B,c_Relation_ORange(C,A,D))|c_member(tc_prod(C,A),c_Product__Type_OPair(C,A,$f29(D,C,B,A),B),D).
% 7.34/7.40 ** KEPT (pick-wt=19): 127 [] -c_member(tc_prod(A,B),C,c_Product__Type_OSigma(A,B,D,E))|c_member(A,$f31(E,D,C,B,A),D).
% 7.34/7.40 ** KEPT (pick-wt=26): 128 [] -c_member(tc_prod(A,B),C,c_Product__Type_OSigma(A,B,D,E))|c_member(B,$f30(E,D,C,B,A),hAPP(E,$f31(E,D,C,B,A))).
% 7.34/7.40 ** KEPT (pick-wt=27): 130 [copy,129,flip.2] -c_member(tc_prod(A,B),C,c_Product__Type_OSigma(A,B,D,E))|c_Product__Type_OPair(A,B,$f31(E,D,C,B,A),$f30(E,D,C,B,A))=C.
% 7.34/7.40 ** KEPT (pick-wt=15): 131 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Relation_OId__on(A,D))|B=C.
% 7.34/7.40 ** KEPT (pick-wt=16): 132 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Relation_OId__on(A,D))|c_member(A,B,D).
% 7.34/7.40 ** KEPT (pick-wt=19): 133 [] c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Relation_OId__on(A,D))|B!=C| -c_member(A,B,D).
% 7.34/7.40 Following clause subsumed by 133 during input processing: 0 [] A!=B| -c_member(C,A,D)|c_member(tc_prod(C,C),c_Product__Type_OPair(C,C,A,B),c_Relation_OId__on(C,D)).
% 7.34/7.40 ** KEPT (pick-wt=15): 134 [] -c_member(tc_prod(A,A),B,c_Relation_OId__on(A,C))|c_member(A,$f32(C,B,A),C).
% 7.34/7.40 ** KEPT (pick-wt=21): 136 [copy,135,flip.2] -c_member(tc_prod(A,A),B,c_Relation_OId__on(A,C))|c_Product__Type_OPair(A,A,$f32(C,B,A),$f32(C,B,A))=B.
% 7.34/7.40 ** KEPT (pick-wt=52): 137 [] -c_Relation_Osingle__valued(A,A,B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,D),c_Transitive__Closure_Ortrancl(A,B))| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,E),c_Transitive__Closure_Ortrancl(A,B))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,D,E),c_Transitive__Closure_Ortrancl(A,B))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,E,D),c_Transitive__Closure_Ortrancl(A,B)).
% 7.39/7.41 ** KEPT (pick-wt=22): 138 [] c_member(A,B,c_Relation_ODomain(A,A,C))| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,D),c_Transitive__Closure_Ortrancl(A,C))|B=D.
% 7.39/7.41 ** KEPT (pick-wt=22): 139 [] c_member(A,B,c_Relation_ODomain(A,A,C))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,D),c_Transitive__Closure_Ortrancl(A,C))|B!=D.
% 7.39/7.41 ** KEPT (pick-wt=17): 140 [] -c_member(tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),E)|c_member(A,C,c_Relation_ODomain(A,B,E)).
% 7.39/7.41 ** KEPT (pick-wt=88): 141 [] -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,$f36(H,G,F,E,D,C,B,A),$f35(H,G,F,E,D,C,B,A))),c_Transitive__Closure_Ortrancl(tc_prod(A,B),G))|hBOOL(hAPP(hAPP(H,E),F)).
% 7.39/7.41 ** KEPT (pick-wt=100): 142 [] -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,$f36(H,G,F,E,D,C,B,A),$f35(H,G,F,E,D,C,B,A)),c_Product__Type_OPair(A,B,$f34(H,G,F,E,D,C,B,A),$f33(H,G,F,E,D,C,B,A))),G)|hBOOL(hAPP(hAPP(H,E),F)).
% 7.39/7.41 ** KEPT (pick-wt=64): 143 [] -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,$f36(H,G,F,E,D,C,B,A)),$f35(H,G,F,E,D,C,B,A)))|hBOOL(hAPP(hAPP(H,E),F)).
% 7.39/7.41 ** KEPT (pick-wt=64): 144 [] -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,$f34(H,G,F,E,D,C,B,A)),$f33(H,G,F,E,D,C,B,A)))|hBOOL(hAPP(hAPP(H,E),F)).
% 7.39/7.41 ** KEPT (pick-wt=100): 145 [] -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,$f40(H,G,F,E,D,C,B,A),$f39(H,G,F,E,D,C,B,A)),c_Product__Type_OPair(A,B,$f38(H,G,F,E,D,C,B,A),$f37(H,G,F,E,D,C,B,A))),G)|hBOOL(hAPP(hAPP(H,C),D)).
% 7.39/7.41 ** KEPT (pick-wt=88): 146 [] -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,$f38(H,G,F,E,D,C,B,A),$f37(H,G,F,E,D,C,B,A)),c_Product__Type_OPair(A,B,E,F)),c_Transitive__Closure_Ortrancl(tc_prod(A,B),G))|hBOOL(hAPP(hAPP(H,C),D)).
% 7.39/7.41 ** KEPT (pick-wt=64): 147 [] -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,$f38(H,G,F,E,D,C,B,A)),$f37(H,G,F,E,D,C,B,A)))|hBOOL(hAPP(hAPP(H,C),D)).
% 7.39/7.41 ** KEPT (pick-wt=64): 148 [] -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,$f40(H,G,F,E,D,C,B,A)),$f39(H,G,F,E,D,C,B,A)))|hBOOL(hAPP(hAPP(H,C),D)).
% 7.39/7.41 ** KEPT (pick-wt=81): 149 [] -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,$f42(G,F,E,D,C,B,A),$f41(G,F,E,D,C,B,A))),G).
% 7.39/7.41 ** KEPT (pick-wt=85): 150 [] -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,$f42(G,F,E,D,C,B,A),$f41(G,F,E,D,C,B,A)),c_Product__Type_OPair(A,B,E,F)),c_Transitive__Closure_Ortrancl(tc_prod(A,B),G)).
% 7.39/7.41 ** KEPT (pick-wt=31): 151 [] -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,$f43(D,C,B,A)),c_Transitive__Closure_Ortrancl(A,D)).
% 7.39/7.41 ** KEPT (pick-wt=29): 152 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))|B=C|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f43(D,C,B,A),C),D).
% 7.39/7.41 ** KEPT (pick-wt=27): 153 [] -c_Relation_Osingle__valued(A,B,C)| -c_member(tc_prod(A,B),c_Product__Type_OPair(A,B,D,E),C)| -c_member(tc_prod(A,B),c_Product__Type_OPair(A,B,D,F),C)|E=F.
% 7.39/7.41 ** KEPT (pick-wt=13): 154 [] c_Relation_Osingle__valued(A,B,C)|$f45(C,B,A)!=$f44(C,B,A).
% 7.39/7.41 Following clause subsumed by 153 during input processing: 0 [] -c_Relation_Osingle__valued(A,B,C)| -c_member(tc_prod(A,B),c_Product__Type_OPair(A,B,D,E),C)| -c_member(tc_prod(A,B),c_Product__Type_OPair(A,B,D,F),C)|E=F.
% 7.39/7.41 ** KEPT (pick-wt=21): 155 [] -c_member(A,B,c_Relation_ODomain(A,C,D))|c_member(tc_prod(A,C),c_Product__Type_OPair(A,C,B,$f47(D,C,B,A)),D).
% 7.39/7.41 Following clause subsumed by 140 during input processing: 0 [] c_member(A,B,c_Relation_ODomain(A,C,D))| -c_member(tc_prod(A,C),c_Product__Type_OPair(A,C,B,E),D).
% 7.39/7.41 ** KEPT (pick-wt=21): 156 [] -c_member(A,B,c_Relation_ODomain(A,C,D))|c_member(tc_prod(A,C),c_Product__Type_OPair(A,C,B,$f48(D,C,B,A)),D).
% 7.39/7.41 ** KEPT (pick-wt=13): 157 [] $f50(A,B,C)!=$f49(A,B,C)|c_Relation_Osingle__valued(C,B,A).
% 7.39/7.41 ** KEPT (pick-wt=37): 158 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))| -hBOOL(hAPP(E,B))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,$f53(E,D,C,B,A)),c_Transitive__Closure_Ortrancl(A,D))|hBOOL(hAPP(E,C)).
% 7.39/7.41 ** KEPT (pick-wt=40): 159 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))| -hBOOL(hAPP(E,B))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f53(E,D,C,B,A),$f52(E,D,C,B,A)),D)|hBOOL(hAPP(E,C)).
% 7.39/7.41 ** KEPT (pick-wt=29): 160 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))| -hBOOL(hAPP(E,B))|hBOOL(hAPP(E,$f53(E,D,C,B,A)))|hBOOL(hAPP(E,C)).
% 7.39/7.41 ** KEPT (pick-wt=29): 161 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))| -hBOOL(hAPP(E,B))| -hBOOL(hAPP(E,$f52(E,D,C,B,A)))|hBOOL(hAPP(E,C)).
% 7.39/7.41 ** KEPT (pick-wt=40): 162 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))| -hBOOL(hAPP(E,C))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f55(E,D,C,B,A),$f54(E,D,C,B,A)),D)|hBOOL(hAPP(E,B)).
% 7.39/7.41 ** KEPT (pick-wt=37): 163 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))| -hBOOL(hAPP(E,C))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f54(E,D,C,B,A),C),c_Transitive__Closure_Ortrancl(A,D))|hBOOL(hAPP(E,B)).
% 7.39/7.41 ** KEPT (pick-wt=29): 164 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))| -hBOOL(hAPP(E,C))|hBOOL(hAPP(E,$f54(E,D,C,B,A)))|hBOOL(hAPP(E,B)).
% 7.39/7.41 ** KEPT (pick-wt=29): 165 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))| -hBOOL(hAPP(E,C))| -hBOOL(hAPP(E,$f55(E,D,C,B,A)))|hBOOL(hAPP(E,B)).
% 7.39/7.41 ** KEPT (pick-wt=29): 166 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))|B=C|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,$f56(D,C,B,A)),D).
% 7.39/7.41 ** KEPT (pick-wt=31): 167 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))|B=C|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f56(D,C,B,A),C),c_Transitive__Closure_Ortrancl(A,D)).
% 7.39/7.41 ** KEPT (pick-wt=35): 168 [] -c_Relation_Ototal__on(A,B,C)| -c_member(A,D,B)| -c_member(A,E,B)|D=E|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,D,E),C)|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,E,D),C).
% 7.39/7.41 ** KEPT (pick-wt=13): 169 [] c_Relation_Ototal__on(A,B,C)|$f58(C,B,A)!=$f57(C,B,A).
% 7.39/7.41 ** KEPT (pick-wt=20): 170 [] c_Relation_Ototal__on(A,B,C)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f58(C,B,A),$f57(C,B,A)),C).
% 7.39/7.41 ** KEPT (pick-wt=20): 171 [] c_Relation_Ototal__on(A,B,C)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f57(C,B,A),$f58(C,B,A)),C).
% 7.39/7.41 ** KEPT (pick-wt=28): 172 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Relation_Oinv__image(D,A,E,F))|c_member(tc_prod(D,D),c_Product__Type_OPair(D,D,hAPP(F,B),hAPP(F,C)),E).
% 7.39/7.41 ** KEPT (pick-wt=28): 173 [] c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Relation_Oinv__image(D,A,E,F))| -c_member(tc_prod(D,D),c_Product__Type_OPair(D,D,hAPP(F,B),hAPP(F,C)),E).
% 7.39/7.41 ** KEPT (pick-wt=18): 174 [] -c_Relation_Orefl__on(A,B,C)| -c_member(A,D,B)|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,D,D),C).
% 7.39/7.41 ** KEPT (pick-wt=18): 175 [] -c_Relation_Orefl__on(A,B,C)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,D,E),C)|c_member(A,E,B).
% 7.39/7.41 ** KEPT (pick-wt=18): 176 [] -c_Relation_Orefl__on(A,B,C)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,D,E),C)|c_member(A,D,B).
% 7.39/7.41 ** KEPT (pick-wt=24): 177 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Otrancl(A,D))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D)).
% 7.39/7.41 ** KEPT (pick-wt=26): 178 [] -c_Relation_Oantisym(A,B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,D),B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,D,C),B)|C=D.
% 7.39/7.41 Following clause subsumed by 178 during input processing: 0 [] -c_Relation_Oantisym(A,B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,D),B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,D,C),B)|C=D.
% 7.39/7.41 ** KEPT (pick-wt=10): 179 [] c_Relation_Oantisym(A,B)|$f60(B,A)!=$f59(B,A).
% 7.39/7.41 ** KEPT (pick-wt=27): 180 [] -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)).
% 7.39/7.41 ** KEPT (pick-wt=27): 181 [] -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))).
% 7.39/7.41 ** KEPT (pick-wt=36): 182 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,E),c_Transitive__Closure_Otrancl(A,D))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,E),c_Transitive__Closure_Otrancl(A,D)).
% 7.39/7.41 ** KEPT (pick-wt=22): 183 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),D)|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Otrancl(A,D)).
% 7.39/7.41 ** KEPT (pick-wt=9): 184 [] -c_Relation_Oantisym(A,c_Relation_Oconverse(A,A,B))|c_Relation_Oantisym(A,B).
% 7.39/7.41 ** KEPT (pick-wt=9): 185 [] c_Relation_Oantisym(A,c_Relation_Oconverse(A,A,B))| -c_Relation_Oantisym(A,B).
% 7.39/7.41 ** KEPT (pick-wt=30): 186 [] -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))).
% 7.39/7.41 ** KEPT (pick-wt=30): 187 [] -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))).
% 7.39/7.41 ** KEPT (pick-wt=14): 188 [] -c_member(tc_prod(A,A),B,C)|c_member(tc_prod(A,A),B,c_Transitive__Closure_Otrancl(A,C)).
% 7.39/7.41 ** KEPT (pick-wt=11): 189 [] -c_Relation_Orefl__on(A,B,c_Relation_Oconverse(A,A,C))|c_Relation_Orefl__on(A,B,C).
% 7.39/7.41 ** KEPT (pick-wt=11): 190 [] c_Relation_Orefl__on(A,B,c_Relation_Oconverse(A,A,C))| -c_Relation_Orefl__on(A,B,C).
% 7.39/7.41 ** KEPT (pick-wt=11): 191 [] -c_Relation_Ototal__on(A,B,c_Relation_Oconverse(A,A,C))|c_Relation_Ototal__on(A,B,C).
% 7.39/7.41 ** KEPT (pick-wt=11): 192 [] c_Relation_Ototal__on(A,B,c_Relation_Oconverse(A,A,C))| -c_Relation_Ototal__on(A,B,C).
% 7.39/7.41 ** KEPT (pick-wt=32): 193 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),D)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,E),D)|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,E),c_Transitive__Closure_Otrancl(A,D)).
% 7.39/7.41 ** KEPT (pick-wt=34): 194 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),D)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,E),c_Transitive__Closure_Otrancl(A,D))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,E),c_Transitive__Closure_Otrancl(A,D)).
% 7.39/7.41 ** KEPT (pick-wt=34): 195 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Otrancl(A,D))| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,E),D)|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,E),c_Transitive__Closure_Otrancl(A,D)).
% 7.39/7.41 ** KEPT (pick-wt=36): 196 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Otrancl(A,D))| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,E),c_Transitive__Closure_Otrancl(A,D))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,E),c_Transitive__Closure_Otrancl(A,D)).
% 7.39/7.41 ** KEPT (pick-wt=23): 197 [] -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).
% 7.39/7.41 ** KEPT (pick-wt=23): 198 [] 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).
% 7.39/7.41 Following clause subsumed by 198 during input processing: 0 [] -c_member(tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),E)|c_member(tc_prod(B,A),c_Product__Type_OPair(B,A,D,C),c_Relation_Oconverse(A,B,E)).
% 7.39/7.41 Following clause subsumed by 197 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).
% 7.39/7.41 ** KEPT (pick-wt=14): 199 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Relation_OId(A))|B=C.
% 7.39/7.41 ** KEPT (pick-wt=14): 200 [] c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Relation_OId(A))|B!=C.
% 7.39/7.41 ** KEPT (pick-wt=19): 201 [] -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).
% 7.39/7.41 ** KEPT (pick-wt=19): 202 [] 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).
% 7.39/7.41 ** KEPT (pick-wt=27): 203 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))|B=C|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Otrancl(A,D)).
% 7.39/7.41 ** KEPT (pick-wt=15): 204 [] c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))|B!=C.
% 7.39/7.41 Following clause subsumed by 177 during input processing: 0 [] c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))|B=C| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Otrancl(A,D)).
% 7.39/7.41 ** KEPT (pick-wt=34): 205 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),D)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,E),c_Transitive__Closure_Ortrancl(A,D))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,E),c_Transitive__Closure_Otrancl(A,D)).
% 7.39/7.41 Following clause subsumed by 203 during input processing: 0 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))|B=C|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Otrancl(A,D)).
% 7.39/7.41 ** KEPT (pick-wt=34): 206 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,E),D)|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,E),c_Transitive__Closure_Otrancl(A,D)).
% 7.39/7.41 ** KEPT (pick-wt=36): 207 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Otrancl(A,D))| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,E),c_Transitive__Closure_Ortrancl(A,D))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,E),c_Transitive__Closure_Otrancl(A,D)).
% 7.39/7.41 ** KEPT (pick-wt=26): 208 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Otrancl(A,D))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,$f61(D,C,B,A)),D).
% 7.39/7.41 ** KEPT (pick-wt=28): 209 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Otrancl(A,D))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f61(D,C,B,A),C),c_Transitive__Closure_Ortrancl(A,D)).
% 7.39/7.41 ** KEPT (pick-wt=28): 210 [] -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,$f62(D,C,B,A)),c_Transitive__Closure_Ortrancl(A,D)).
% 7.39/7.41 ** KEPT (pick-wt=26): 211 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Otrancl(A,D))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f62(D,C,B,A),C),D).
% 7.39/7.41 ** KEPT (pick-wt=18): 213 [copy,212,flip.2] -c_member(tc_prod(A,A),B,c_Relation_OId(A))|c_Product__Type_OPair(A,A,$f63(B,A),$f63(B,A))=B.
% 7.39/7.41 ** KEPT (pick-wt=15): 214 [] -c_Wellfounded_Oacyclic(A,B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,C),c_Transitive__Closure_Otrancl(A,B)).
% 7.39/7.41 ** KEPT (pick-wt=24): 216 [copy,215,flip.2] -c_member(tc_prod(A,B),C,c_Relation_Oconverse(B,A,D))|c_Product__Type_OPair(A,B,$f65(D,C,B,A),$f66(D,C,B,A))=C.
% 7.39/7.41 ** KEPT (pick-wt=27): 217 [] -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,$f66(D,C,B,A),$f65(D,C,B,A)),D).
% 7.39/7.41 ** KEPT (pick-wt=10): 218 [] $f68(A,B)!=$f67(A,B)|c_Relation_Oantisym(B,A).
% 7.39/7.41 ** KEPT (pick-wt=33): 219 [] c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f69(B,C,D,A),$f69(B,C,D,A)),c_Transitive__Closure_Otrancl(A,D))| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,B),D)|C!=B.
% 7.39/7.41 ** KEPT (pick-wt=9): 220 [] -c_Wellfounded_Oacyclic(A,c_Relation_Oconverse(A,A,B))|c_Wellfounded_Oacyclic(A,B).
% 7.39/7.41 ** KEPT (pick-wt=9): 221 [] c_Wellfounded_Oacyclic(A,c_Relation_Oconverse(A,A,B))| -c_Wellfounded_Oacyclic(A,B).
% 7.39/7.41 ** KEPT (pick-wt=8): 222 [] -c_Wellfounded_Oacyclic(A,B)|c_Relation_Oantisym(A,c_Transitive__Closure_Ortrancl(A,B)).
% 7.39/7.41 ** KEPT (pick-wt=15): 223 [] -c_Wellfounded_Oacyclic(A,c_Set_Oinsert(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),D))|c_Wellfounded_Oacyclic(A,D).
% 7.39/7.41 ** KEPT (pick-wt=24): 224 [] -c_Wellfounded_Oacyclic(A,c_Set_Oinsert(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),D))| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,B),c_Transitive__Closure_Ortrancl(A,D)).
% 7.39/7.41 ** KEPT (pick-wt=27): 225 [] c_Wellfounded_Oacyclic(A,c_Set_Oinsert(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),D))| -c_Wellfounded_Oacyclic(A,D)|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,B),c_Transitive__Closure_Ortrancl(A,D)).
% 7.39/7.41 ** KEPT (pick-wt=38): 226 [] -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,$f71(D,C,B,A)),c_Transitive__Closure_Otrancl(A,D)).
% 7.39/7.41 ** KEPT (pick-wt=36): 227 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Otrancl(A,D))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),D)|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f71(D,C,B,A),C),D).
% 7.39/7.41 ** KEPT (pick-wt=36): 228 [] -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,$f72(D,C,B,A)),D).
% 7.39/7.41 ** KEPT (pick-wt=38): 229 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Otrancl(A,D))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),D)|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f72(D,C,B,A),C),c_Transitive__Closure_Otrancl(A,D)).
% 7.39/7.41 ** KEPT (pick-wt=17): 230 [] -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)).
% 7.39/7.41 ** KEPT (pick-wt=13): 231 [] -hBOOL(hAPP(A,B))|hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(C,tc_HOL_Obool),D,A),B)).
% 7.39/7.41 ** KEPT (pick-wt=13): 232 [] -hBOOL(hAPP(A,B))|hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(C,tc_HOL_Obool),A,D),B)).
% 7.39/7.41 ** KEPT (pick-wt=14): 233 [] -c_member(A,B,c_Set_Oinsert(A,C,D))|B=C|c_member(A,B,D).
% 7.39/7.41 ** KEPT (pick-wt=11): 234 [] -c_member(A,B,C)|c_member(A,B,c_Set_Oinsert(A,D,C)).
% 7.39/7.41 ** KEPT (pick-wt=10): 235 [] A!=B|c_member(C,A,c_Set_Oinsert(C,B,D)).
% 7.39/7.41 ** KEPT (pick-wt=17): 236 [] -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).
% 7.39/7.41 ** KEPT (pick-wt=13): 237 [] -c_member(A,B,C)|c_member(A,B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),D,C)).
% 7.39/7.41 ** KEPT (pick-wt=13): 238 [] -c_member(A,B,C)|c_member(A,B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,D)).
% 7.39/7.41 ** KEPT (pick-wt=24): 239 [] -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)).
% 7.39/7.41 ** KEPT (pick-wt=29): 240 [] -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,$f73(E,D,C,A),C)|c_member(A,$f74(E,D,C,A),D).
% 7.39/7.41 ** KEPT (pick-wt=29): 241 [] -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,$f73(E,D,C,A),C)|hBOOL(hAPP(E,$f74(E,D,C,A))).
% 7.39/7.41 ** KEPT (pick-wt=29): 242 [] -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,$f73(E,D,C,A)))|c_member(A,$f74(E,D,C,A),D).
% 7.39/7.41 ** KEPT (pick-wt=29): 243 [] -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,$f73(E,D,C,A)))|hBOOL(hAPP(E,$f74(E,D,C,A))).
% 7.39/7.41 ** KEPT (pick-wt=21): 244 [] c_member(A,$f75(B,C,D,A),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),D,C))| -c_member(A,E,D)| -hBOOL(hAPP(B,E)).
% 7.39/7.41 ** KEPT (pick-wt=21): 245 [] c_member(A,$f75(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)).
% 7.39/7.41 ** KEPT (pick-wt=16): 246 [] hBOOL(hAPP(A,$f75(A,B,C,D)))| -c_member(D,E,C)| -hBOOL(hAPP(A,E)).
% 7.39/7.41 ** KEPT (pick-wt=16): 247 [] hBOOL(hAPP(A,$f75(A,B,C,D)))| -c_member(D,E,B)| -hBOOL(hAPP(A,E)).
% 7.39/7.41 ** KEPT (pick-wt=21): 248 [] c_member(A,$f76(B,C,D,A),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),D,C))| -c_member(A,E,D)|hBOOL(hAPP(B,E)).
% 7.39/7.41 ** KEPT (pick-wt=21): 249 [] c_member(A,$f76(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)).
% 7.39/7.41 ** KEPT (pick-wt=16): 250 [] -hBOOL(hAPP(A,$f76(A,B,C,D)))| -c_member(D,E,C)|hBOOL(hAPP(A,E)).
% 7.39/7.41 ** KEPT (pick-wt=16): 251 [] -hBOOL(hAPP(A,$f76(A,B,C,D)))| -c_member(D,E,B)|hBOOL(hAPP(A,E)).
% 7.39/7.41 ** KEPT (pick-wt=29): 252 [] -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,$f77(E,D,C,A),C)|c_member(A,$f78(E,D,C,A),D).
% 7.39/7.41 ** KEPT (pick-wt=29): 253 [] -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,$f77(E,D,C,A),C)| -hBOOL(hAPP(E,$f78(E,D,C,A))).
% 7.39/7.42 ** KEPT (pick-wt=29): 254 [] -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,$f77(E,D,C,A)))|c_member(A,$f78(E,D,C,A),D).
% 7.39/7.42 ** KEPT (pick-wt=29): 255 [] -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,$f77(E,D,C,A)))| -hBOOL(hAPP(E,$f78(E,D,C,A))).
% 7.39/7.42 ** KEPT (pick-wt=14): 256 [] -hBOOL(hAPP(c_Set_Oinsert(A,B,C),D))|B=D|hBOOL(hAPP(C,D)).
% 7.39/7.42 ** KEPT (pick-wt=10): 257 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),D))|B!=D.
% 7.39/7.42 ** KEPT (pick-wt=11): 258 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),D))| -hBOOL(hAPP(C,D)).
% 7.39/7.42 Following clause subsumed by 232 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)).
% 7.39/7.42 Following clause subsumed by 231 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)).
% 7.39/7.42 Following clause subsumed by 236 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).
% 7.39/7.42 Following clause subsumed by 238 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).
% 7.39/7.42 Following clause subsumed by 237 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).
% 7.39/7.42 Following clause subsumed by 238 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)).
% 7.39/7.42 Following clause subsumed by 237 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)).
% 7.39/7.42 Following clause subsumed by 233 during input processing: 0 [] -c_member(A,B,c_Set_Oinsert(A,C,D))|B=C|c_member(A,B,D).
% 7.39/7.42 Following clause subsumed by 235 during input processing: 0 [] c_member(A,B,c_Set_Oinsert(A,C,D))|B!=C.
% 7.39/7.42 Following clause subsumed by 234 during input processing: 0 [] c_member(A,B,c_Set_Oinsert(A,C,D))| -c_member(A,B,D).
% 7.39/7.42 ** KEPT (pick-wt=20): 259 [] c_member(A,B,C)|c_member(A,B,D)|c_Set_Oinsert(A,B,C)!=c_Set_Oinsert(A,B,D)|C=D.
% 7.39/7.42 ** KEPT (pick-wt=20): 260 [] c_member(A,B,C)|c_member(A,B,D)|c_Set_Oinsert(A,B,C)=c_Set_Oinsert(A,B,D)|C!=D.
% 7.39/7.42 Following clause subsumed by 234 during input processing: 0 [] -c_member(A,B,C)|c_member(A,B,c_Set_Oinsert(A,D,C)).
% 7.39/7.42 ** KEPT (pick-wt=10): 261 [] -c_member(A,B,C)|c_Set_Oinsert(A,B,C)=C.
% 7.39/7.42 ** KEPT (pick-wt=23): 262 [] -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))).
% 7.39/7.42 ** KEPT (pick-wt=23): 263 [] -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))).
% 7.39/7.42 ** KEPT (pick-wt=14): 264 [] -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).
% 7.39/7.42 ** KEPT (pick-wt=14): 265 [] 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).
% 7.39/7.42 ** KEPT (pick-wt=19): 266 [] -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)).
% 7.39/7.42 ** KEPT (pick-wt=48): 267 [] -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,$f80(E,D,C,B,A)),c_Transitive__Closure_Ortrancl(A,D))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D)).
% 7.39/7.42 ** KEPT (pick-wt=51): 268 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(A,A),tc_HOL_Obool),D,E)))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f80(E,D,C,B,A),$f79(E,D,C,B,A)),E)|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D)).
% 7.39/7.42 ** KEPT (pick-wt=44): 269 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(A,A),tc_HOL_Obool),D,E)))|$f80(E,D,C,B,A)!=$f79(E,D,C,B,A)|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D)).
% 7.39/7.42 ** KEPT (pick-wt=48): 270 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(A,A),tc_HOL_Obool),D,E)))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f82(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)).
% 7.39/7.42 ** KEPT (pick-wt=51): 271 [] -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,$f81(E,D,C,B,A),$f82(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)).
% 7.39/7.42 ** KEPT (pick-wt=44): 273 [copy,272,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)))|$f82(E,D,C,B,A)!=$f81(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)).
% 7.39/7.42 ** KEPT (pick-wt=15): 274 [] -c_Wellfounded_Owf(A,c_Set_Oinsert(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),D))|c_Wellfounded_Owf(A,D).
% 7.39/7.42 ** KEPT (pick-wt=24): 275 [] -c_Wellfounded_Owf(A,c_Set_Oinsert(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),D))| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,B),c_Transitive__Closure_Ortrancl(A,D)).
% 7.39/7.42 ** KEPT (pick-wt=27): 276 [] c_Wellfounded_Owf(A,c_Set_Oinsert(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),D))| -c_Wellfounded_Owf(A,D)|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,B),c_Transitive__Closure_Ortrancl(A,D)).
% 7.39/7.42 ** KEPT (pick-wt=10): 277 [] -c_Wellfounded_Owf(A,B)|c_Wellfounded_Owf(C,c_Relation_Oinv__image(A,C,B,D)).
% 7.39/7.42 ** KEPT (pick-wt=15): 278 [] -c_Wellfounded_Owf(A,B)| -c_Wellfounded_Owf(C,D)|c_Wellfounded_Owf(tc_prod(A,C),c_Wellfounded_Olex__prod(A,C,B,D)).
% 7.39/7.42 ** KEPT (pick-wt=10): 279 [] -class_Lattices_Obounded__lattice__top(A)|c_Lattices_Osemilattice__sup__class_Osup(A,B,c_Orderings_Otop__class_Otop(A))=c_Orderings_Otop__class_Otop(A).
% 7.39/7.42 ** KEPT (pick-wt=10): 280 [] -class_Lattices_Obounded__lattice__top(A)|c_Lattices_Osemilattice__sup__class_Osup(A,c_Orderings_Otop__class_Otop(A),B)=c_Orderings_Otop__class_Otop(A).
% 7.39/7.42 ** KEPT (pick-wt=8): 281 [] -c_Wellfounded_Owf(A,B)|c_Wellfounded_Owf(A,c_Transitive__Closure_Otrancl(A,B)).
% 7.39/7.42 ** KEPT (pick-wt=6): 282 [] -c_Wellfounded_Owf(A,B)|c_Wellfounded_Oacyclic(A,B).
% 7.39/7.42 ** KEPT (pick-wt=13): 283 [] -c_Wellfounded_Owf(A,B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,C),B).
% 7.39/7.42 ** KEPT (pick-wt=23): 284 [] -c_Wellfounded_Owf(A,B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,D),B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,D,C),B).
% 7.39/7.42 Following clause subsumed by 284 during input processing: 0 [] -c_Wellfounded_Owf(A,B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,D),B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,D,C),B).
% 7.39/7.42 Following clause subsumed by 283 during input processing: 0 [] -c_Wellfounded_Owf(A,B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,C),B).
% 7.39/7.42 ** KEPT (pick-wt=9): 285 [] -c_Wellfounded_Owf(A,B)|c_member(A,C,c_Wellfounded_Oacc(A,B)).
% 7.39/7.42 Following clause subsumed by 285 during input processing: 0 [] -c_Wellfounded_Owf(A,B)|c_member(A,C,c_Wellfounded_Oacc(A,B)).
% 7.39/7.42 ** KEPT (pick-wt=11): 286 [] c_Wellfounded_Owf(A,B)| -c_member(A,$f83(B,A),c_Wellfounded_Oacc(A,B)).
% 7.39/7.42 ** KEPT (pick-wt=14): 287 [] -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))).
% 7.39/7.42 ** KEPT (pick-wt=8): 288 [] -class_Lattices_Osemilattice__sup(A)|c_Lattices_Osemilattice__sup__class_Osup(A,B,B)=B.
% 7.39/7.42 Following clause subsumed by 288 during input processing: 0 [] -class_Lattices_Osemilattice__sup(A)|c_Lattices_Osemilattice__sup__class_Osup(A,B,B)=B.
% 7.39/7.42 ** KEPT (pick-wt=11): 289 [] -class_Lattices_Osemilattice__sup(A)|c_Lattices_Osemilattice__sup__class_Osup(A,B,C)=c_Lattices_Osemilattice__sup__class_Osup(A,C,B).
% 7.39/7.42 ** KEPT (pick-wt=11): 290 [] -class_Lattices_Olattice(A)|c_Lattices_Osemilattice__sup__class_Osup(A,B,C)=c_Lattices_Osemilattice__sup__class_Osup(A,C,B).
% 7.39/7.42 Following clause subsumed by 289 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).
% 7.39/7.42 ** KEPT (pick-wt=14): 291 [] -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).
% 7.39/7.42 ** KEPT (pick-wt=14): 292 [] -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).
% 7.39/7.42 Following clause subsumed by 291 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).
% 7.39/7.42 ** KEPT (pick-wt=17): 293 [] -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)).
% 7.39/7.42 ** KEPT (pick-wt=17): 294 [] -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)).
% 7.39/7.42 Following clause subsumed by 293 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)).
% 7.39/7.42 ** KEPT (pick-wt=17): 295 [] -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)).
% 7.39/7.42 ** KEPT (pick-wt=17): 296 [] -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)).
% 7.39/7.42 Following clause subsumed by 295 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)).
% 7.39/7.42 ** KEPT (pick-wt=11): 297 [] -class_Orderings_Otop(A)|hAPP(c_Orderings_Otop__class_Otop(tc_fun(B,A)),C)=c_Orderings_Otop__class_Otop(A).
% 7.39/7.42 ** KEPT (pick-wt=25): 299 [copy,298,flip.2] -c_Wellfounded_Owf(A,B)|hAPP(hAPP(C,c_Recdef_Ocut(A,D,c_Recdef_Owfrec(A,D,B,C),B,E)),E)=hAPP(c_Recdef_Owfrec(A,D,B,C),E).
% 7.39/7.42 Following clause subsumed by 299 during input processing: 0 [flip.2] -c_Wellfounded_Owf(A,B)|hAPP(hAPP(D,c_Recdef_Ocut(A,C,c_Recdef_Owfrec(A,C,B,D),B,E)),E)=hAPP(c_Recdef_Owfrec(A,C,B,D),E).
% 7.39/7.42 ** KEPT (pick-wt=24): 301 [copy,300,flip.3] A!=c_Recdef_Owfrec(B,C,D,E)| -c_Wellfounded_Owf(B,D)|hAPP(hAPP(E,c_Recdef_Ocut(B,C,A,D,F)),F)=hAPP(A,F).
% 7.39/7.42 ** KEPT (pick-wt=18): 302 [] -c_Wellfounded_Owf(A,hAPP(B,$f84(C,B,A,D)))|c_Wellfounded_Owf(tc_prod(C,A),c_Recdef_Osame__fst(C,A,D,B)).
% 7.39/7.42 ** KEPT (pick-wt=14): 303 [] -c_Wellfounded_Owf(A,B)| -c_member(A,C,D)|c_member(A,$f85(B,A,D),D).
% 7.39/7.42 ** KEPT (pick-wt=20): 305 [copy,304,factor_simp] -c_Wellfounded_Owf(A,B)| -c_member(A,C,D)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,$f85(B,A,D)),B).
% 7.39/7.42 ** KEPT (pick-wt=22): 306 [] c_Wellfounded_Owf(A,B)| -c_member(A,C,$f88(B,A))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f87(B,A,C),C),B).
% 7.39/7.42 ** KEPT (pick-wt=18): 307 [] c_Wellfounded_Owf(A,B)| -c_member(A,C,$f88(B,A))|c_member(A,$f87(B,A,C),$f88(B,A)).
% 7.39/7.42 ** KEPT (pick-wt=9): 308 [] -c_Wellfounded_Owf(A,B)|c_Wellfounded_OwfP(A,c_FunDef_Oin__rel(A,A,B)).
% 7.39/7.42 ** KEPT (pick-wt=7): 309 [] -c_member(A,B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))).
% 7.39/7.42 ** KEPT (pick-wt=9): 310 [] c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool))!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)).
% 7.39/7.42 ** KEPT (pick-wt=11): 311 [] -class_Orderings_Obot(A)|hAPP(c_Orderings_Obot__class_Obot(tc_fun(B,A)),C)=c_Orderings_Obot__class_Obot(A).
% 7.39/7.42 ** KEPT (pick-wt=17): 312 [] 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)).
% 7.39/7.42 ** KEPT (pick-wt=17): 313 [] 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)).
% 7.39/7.42 ** KEPT (pick-wt=17): 314 [] 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)).
% 7.39/7.42 ** KEPT (pick-wt=17): 315 [] 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)).
% 7.39/7.42 ** KEPT (pick-wt=17): 316 [] 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)).
% 7.39/7.42 ** KEPT (pick-wt=17): 317 [] 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)).
% 7.39/7.42 ** KEPT (pick-wt=23): 318 [] 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_Obool)).
% 7.39/7.42 ** KEPT (pick-wt=9): 319 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))!=c_Set_Oinsert(A,B,C).
% 7.39/7.42 ** KEPT (pick-wt=9): 320 [] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)).
% 7.39/7.42 ** KEPT (pick-wt=27): 321 [] 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.
% 7.39/7.42 ** KEPT (pick-wt=27): 322 [] 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.
% 7.39/7.42 ** KEPT (pick-wt=27): 323 [] 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.
% 7.39/7.42 ** KEPT (pick-wt=27): 324 [] 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.
% 7.39/7.42 ** KEPT (pick-wt=27): 325 [] 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!=E.
% 7.39/7.42 ** KEPT (pick-wt=27): 326 [] 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!=E|C!=D.
% 7.39/7.42 ** KEPT (pick-wt=18): 327 [] 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.
% 7.39/7.42 ** KEPT (pick-wt=10): 328 [] -c_member(A,B,C)|C!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)).
% 7.39/7.42 Following clause subsumed by 328 during input processing: 0 [] -c_member
% 7.39/7.42 Search stopped in tp_alloc by max_mem option.
% 7.39/7.42 (A,B,C)|C!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)).
% 7.39/7.42 Following clause subsumed by 309 during input processing: 0 [] -c_member(A,B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))).
% 7.39/7.42 Following clause subsumed by 328 during input processing: 0 [] A!=c_Orderings_Obot__class_Obot(tc_fun(B,tc_HOL_Obool))| -c_member(B,C,A).
% 7.39/7.42 ** KEPT (pick-wt=13): 329 [] -class_Lattices_Obounded__lattice__bot(A)|c_Lattices_Osemilattice__sup__class_Osup(A,B,C)!=c_Orderings_Obot__class_Obot(A)|B=c_Orderings_Obot__class_Obot(A).
% 7.39/7.42 ** KEPT (pick-wt=13): 330 [] -class_Lattices_Obounded__lattice__bot(A)|c_Lattices_Osemilattice__sup__class_Osup(A,B,C)!=c_Orderings_Obot__class_Obot(A)|C=c_Orderings_Obot__class_Obot(A).
% 7.39/7.42 ** KEPT (pick-wt=17): 331 [] -class_Lattices_Obounded__lattice__bot(A)|c_Lattices_Osemilattice__sup__class_Osup(A,B,C)=c_Orderings_Obot__class_Obot(A)|B!=c_Orderings_Obot__class_Obot(A)|C!=c_Orderings_Obot__class_Obot(A).
% 7.39/7.42 ** KEPT (pick-wt=9): 332 [] -class_Lattices_Obounded__lattice__bot(A)|c_Lattices_Osemilattice__sup__class_Osup(A,B,c_Orderings_Obot__class_Obot(A))=B.
% 7.39/7.42 ** KEPT (pick-wt=9): 333 [] -class_Lattices_Obounded__lattice__bot(A)|c_Lattices_Osemilattice__sup__class_Osup(A,c_Orderings_Obot__class_Obot(A),B)=B.
% 7.39/7.42
% 7.39/7.42 Search stopped in tp_alloc by max_mem option.
% 7.39/7.42
% 7.39/7.42 ============ end of search ============
% 7.39/7.42
% 7.39/7.42 -------------- statistics -------------
% 7.39/7.42 clauses given 0
% 7.39/7.42 clauses generated 0
% 7.39/7.42 clauses kept 319
% 7.39/7.42 clauses forward subsumed 47
% 7.39/7.42 clauses back subsumed 0
% 7.39/7.42 Kbytes malloced 11718
% 7.39/7.42
% 7.39/7.42 ----------- times (seconds) -----------
% 7.39/7.42 user CPU time 0.11 (0 hr, 0 min, 0 sec)
% 7.39/7.42 system CPU time 0.02 (0 hr, 0 min, 0 sec)
% 7.39/7.42 wall-clock time 7 (0 hr, 0 min, 7 sec)
% 7.39/7.42
% 7.39/7.42 Process 6461 finished Wed Jul 27 09:04:28 2022
% 7.39/7.42 Otter interrupted
% 7.39/7.42 PROOF NOT FOUND
%------------------------------------------------------------------------------