TSTP Solution File: SCT121+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SCT121+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Jul 27 13:12:32 EDT 2022
% Result : Unknown 7.55s 7.55s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SCT121+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 09:24:48 EDT 2022
% 0.12/0.34 % CPUTime :
% 7.44/7.48 ----- Otter 3.3f, August 2004 -----
% 7.44/7.48 The process was started by sandbox on n023.cluster.edu,
% 7.44/7.48 Wed Jul 27 09:24:48 2022
% 7.44/7.48 The command was "./otter". The process ID is 17821.
% 7.44/7.48
% 7.44/7.48 set(prolog_style_variables).
% 7.44/7.48 set(auto).
% 7.44/7.48 dependent: set(auto1).
% 7.44/7.48 dependent: set(process_input).
% 7.44/7.48 dependent: clear(print_kept).
% 7.44/7.48 dependent: clear(print_new_demod).
% 7.44/7.48 dependent: clear(print_back_demod).
% 7.44/7.48 dependent: clear(print_back_sub).
% 7.44/7.48 dependent: set(control_memory).
% 7.44/7.48 dependent: assign(max_mem, 12000).
% 7.44/7.48 dependent: assign(pick_given_ratio, 4).
% 7.44/7.48 dependent: assign(stats_level, 1).
% 7.44/7.48 dependent: assign(max_seconds, 10800).
% 7.44/7.48 clear(print_given).
% 7.44/7.48
% 7.44/7.48 formula_list(usable).
% 7.44/7.48 all A (A=A).
% 7.44/7.48 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).
% 7.44/7.48 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))).
% 7.44/7.48 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)))).
% 7.44/7.48 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))))))).
% 7.44/7.48 all V_r_2 T_a (c_Relation_Otrans(T_a,V_r_2)<-> (all B_x B_y (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_y),V_r_2)-> (all B_z (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_y,B_z),V_r_2)->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_z),V_r_2)))))).
% 7.44/7.48 all V_c_2 V_b_2 V_a_2 V_r_2 T_a (c_Relation_Otrans(T_a,V_r_2)-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),V_r_2)-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_b_2,V_c_2),V_r_2)->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_c_2),V_r_2)))).
% 7.44/7.48 all V_x_2 T_a hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),V_x_2)).
% 7.44/7.48 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)))).
% 7.44/7.48 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))).
% 7.44/7.48 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))).
% 7.44/7.48 all V_r_2 V_A_2 T_a (c_Order__Relation_Ostrict__linear__order__on(T_a,V_A_2,V_r_2)<->c_Relation_Otrans(T_a,V_r_2)&c_Relation_Oirrefl(T_a,V_r_2)&c_Relation_Ototal__on(T_a,V_A_2,V_r_2)).
% 7.44/7.48 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)).
% 7.44/7.48 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))).
% 7.44/7.48 all V_A_2 T_a V_b_2 V_a_2 (V_a_2=V_b_2-> (c_member(T_a,V_b_2,V_A_2)->c_member(T_a,V_a_2,V_A_2))).
% 7.44/7.48 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))).
% 7.44/7.48 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))).
% 7.44/7.48 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).
% 7.44/7.48 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))).
% 7.44/7.48 all V_y_2 V_x_2 V_R_2 T_b T_a (c_FunDef_Oin__rel(T_a,T_b,V_R_2,V_x_2,V_y_2)<->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)).
% 7.44/7.48 all T_a V_R_2 V_y_2 V_y_H_2 T_b V_x_2 V_P_2 (hBOOL(hAPP(V_P_2,V_x_2))-> (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_P_2,V_R_2)))).
% 7.44/7.48 all V_r_2 V_b_2 V_a_2 T_b T_a (c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2),V_r_2)->c_member(T_b,V_b_2,c_Relation_ORange(T_a,T_b,V_r_2))).
% 7.44/7.48 all V_A_2 T_a V_b_2 V_a_2 (V_a_2=V_b_2-> (c_member(T_a,V_a_2,V_A_2)->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Relation_OId__on(T_a,V_A_2)))).
% 7.44/7.48 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)).
% 7.44/7.48 all V_r_2 V_b_2 V_a_2 T_b T_a (c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2),V_r_2)->c_member(T_a,V_a_2,c_Relation_ODomain(T_a,T_b,V_r_2))).
% 7.44/7.48 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))).
% 7.44/7.48 all V_r_2 T_a ((all B_x B_y (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_y),V_r_2)-> (all B_z (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_y,B_z),V_r_2)->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_z),V_r_2)))))->c_Relation_Otrans(T_a,V_r_2)).
% 7.44/7.48 all V_b_2 V_a_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_a_2,V_b_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_b_2,V_a_2),V_L_2))).
% 7.44/7.48 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)))).
% 7.44/7.48 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)).
% 7.44/7.48 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).
% 7.44/7.48 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).
% 7.44/7.48 all V_A_2 T_a c_Relation_Otrans(T_a,c_Relation_OId__on(T_a,V_A_2)).
% 7.44/7.48 all V_f_2 T_b V_r_2 T_a (c_Relation_Otrans(T_a,V_r_2)->c_Relation_Otrans(T_b,c_Relation_Oinv__image(T_a,T_b,V_r_2,V_f_2))).
% 7.44/7.48 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)).
% 7.44/7.48 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)).
% 7.44/7.48 all V_r_2 T_b V_a_2 T_a (c_member(T_a,V_a_2,c_Relation_ODomain(T_a,T_b,V_r_2))<-> (exists B_y c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,B_y),V_r_2))).
% 7.44/7.48 all V_r_2 T_b V_a_2 T_a (c_member(T_a,V_a_2,c_Relation_ORange(T_b,T_a,V_r_2))<-> (exists B_y c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,B_y,V_a_2),V_r_2))).
% 7.44/7.48 all V_y_2 V_x_2 V_L_2 V_b_2 V_a_2 (V_a_2!=V_b_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_a_2,V_b_2))<->V_x_2!=V_y_2& (V_x_2=V_b_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_2,V_y_2),V_L_2))& (V_x_2!=V_b_2-> (V_y_2=V_b_2->V_x_2=V_a_2|c_member(tc_prod(tc_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_a_2),V_L_2))& (V_y_2!=V_b_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)))))).
% 7.44/7.48 all V_y_2 V_x_2 V_L_2 V_b_2 V_a_2 (V_a_2!=V_b_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_a_2,V_b_2))<->V_x_2!=V_y_2& (V_y_2=V_a_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_b_2),V_L_2))& (V_y_2!=V_a_2-> (V_x_2=V_a_2->V_y_2=V_b_2|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_b_2,V_y_2),V_L_2))& (V_x_2!=V_a_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)))))).
% 7.44/7.48 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))).
% 7.44/7.48 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))).
% 7.44/7.48 all V_s_2 V_r_2 V_b_H_2 V_a_H_2 V_b_2 V_a_2 T_b T_a (c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2),c_Product__Type_OPair(T_a,T_b,V_a_H_2,V_b_H_2)),c_Wellfounded_Olex__prod(T_a,T_b,V_r_2,V_s_2))<->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_a_H_2),V_r_2)|V_a_2=V_a_H_2&c_member(tc_prod(T_b,T_b),c_Product__Type_OPair(T_b,T_b,V_b_2,V_b_H_2),V_s_2)).
% 7.44/7.48 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)))).
% 7.44/7.48 all V_r_2 T_b V_b_2 T_a (c_member(T_a,V_b_2,c_Relation_ORange(T_b,T_a,V_r_2))-> -(all B_x (-c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,B_x,V_b_2),V_r_2)))).
% 7.44/7.48 all V_r_2 T_b V_a_2 T_a (c_member(T_a,V_a_2,c_Relation_ODomain(T_a,T_b,V_r_2))-> -(all B_y (-c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,B_y),V_r_2)))).
% 7.44/7.48 all V_a_2 V_r_2 V_A_2 T_a (c_Relation_Orefl__on(T_a,V_A_2,V_r_2)-> (c_member(T_a,V_a_2,V_A_2)->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_a_2),V_r_2))).
% 7.44/7.48 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))).
% 7.44/7.48 all V_R2_2 T_b V_R1_2 T_a (c_Relation_Otrans(T_a,V_R1_2)-> (c_Relation_Otrans(T_b,V_R2_2)->c_Relation_Otrans(tc_prod(T_a,T_b),c_Wellfounded_Olex__prod(T_a,T_b,V_R1_2,V_R2_2)))).
% 7.44/7.48 all V_A_2 T_a c_Relation_Orefl__on(T_a,V_A_2,c_Relation_OId__on(T_a,V_A_2)).
% 7.44/7.48 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))).
% 7.44/7.48 all V_r_2 V_A_2 T_a (c_Order__Relation_Opreorder__on(T_a,V_A_2,V_r_2)<->c_Relation_Orefl__on(T_a,V_A_2,V_r_2)&c_Relation_Otrans(T_a,V_r_2)).
% 7.44/7.48 all V_a_2 V_r_2 V_b_2 T_a (c_member(T_a,V_b_2,c_Wellfounded_Oacc(T_a,V_r_2))-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),V_r_2)->c_member(T_a,V_a_2,c_Wellfounded_Oacc(T_a,V_r_2)))).
% 7.44/7.48 all V_r_2 V_a_2 T_a (c_member(T_a,V_a_2,c_Wellfounded_Oacc(T_a,V_r_2))<-> (all B_x (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,V_a_2),V_r_2)->c_member(T_a,B_x,c_Wellfounded_Oacc(T_a,V_r_2))))).
% 7.44/7.48 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))))))).
% 7.44/7.48 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))).
% 7.44/7.48 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))))).
% 7.44/7.48 all V_f_2 T_b V_r_2 V_a_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_a_2),V_r_2)->hAPP(c_Recdef_Ocut(T_a,T_b,V_f_2,V_r_2,V_a_2),V_x_2)=hAPP(V_f_2,V_x_2)).
% 7.44/7.48 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)))).
% 7.44/7.48 all T_b V_a_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_a_2),B_R)->hAPP(c_Recdef_Ocut(T_a,T_b,B_f,B_R,V_a_2),V_x_2)=hAPP(B_f,V_x_2)).
% 7.44/7.48 all V_A_2 T_a c_Relation_Osingle__valued(T_a,T_a,c_Relation_OId__on(T_a,V_A_2)).
% 7.44/7.48 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))).
% 7.44/7.48 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))))).
% 7.44/7.48 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))))))).
% 7.44/7.48 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))).
% 7.44/7.48 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)).
% 7.44/7.48 all V_b_2 V_r_2 V_a_2 T_a (c_member(T_a,V_a_2,c_Wellfounded_Oacc(T_a,V_r_2))-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_b_2,V_a_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))->c_member(T_a,V_b_2,c_Wellfounded_Oacc(T_a,V_r_2)))).
% 7.44/7.48 all V_r_2 V_a_2 V_b_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_b_2,V_a_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))-> (c_member(T_a,V_a_2,c_Wellfounded_Oacc(T_a,V_r_2))->c_member(T_a,V_b_2,c_Wellfounded_Oacc(T_a,V_r_2)))).
% 7.44/7.48 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)).
% 7.44/7.48 all V_a_2 T_a c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_a_2),c_Relation_OId(T_a)).
% 7.44/7.48 all T_a c_Relation_Otrans(T_a,c_Relation_OId(T_a)).
% 7.44/7.48 all T_a c_Relation_Osingle__valued(T_a,T_a,c_Relation_OId(T_a)).
% 7.44/7.48 all V_b_2 V_a_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Relation_OId(T_a))<->V_a_2=V_b_2).
% 7.44/7.48 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))).
% 7.44/7.48 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))).
% 7.44/7.48 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)).
% 7.44/7.48 all V_r_2 V_a_2 T_a c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_a_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 7.44/7.48 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))).
% 7.44/7.48 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)).
% 7.44/7.48 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))))).
% 7.44/7.48 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)).
% 7.44/7.48 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))).
% 7.44/7.48 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))).
% 7.44/7.48 all V_c_2 V_r_2 V_b_2 V_a_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_b_2,V_c_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_c_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))).
% 7.44/7.48 all V_c_2 V_r_2 V_b_2 V_a_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_b_2,V_c_2),V_r_2)->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_c_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))).
% 7.44/7.48 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)).
% 7.44/7.48 all V_r_2 T_a c_Relation_Otrans(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 7.44/7.48 all V_c_2 V_r_2 V_b_2 V_a_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),V_r_2)-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_b_2,V_c_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_c_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))).
% 7.44/7.48 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)))).
% 7.44/7.48 all V_P_2 V_r_2 V_by_2 V_bx_2 V_ay_2 V_ax_2 T_b T_a (c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_ax_2,V_ay_2),c_Product__Type_OPair(T_a,T_b,V_bx_2,V_by_2)),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2))-> (hBOOL(hAPP(hAPP(V_P_2,V_ax_2),V_ay_2))-> ((all B_a B_b (c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_ax_2,V_ay_2),c_Product__Type_OPair(T_a,T_b,B_a,B_b)),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2))-> (all B_aa B_ba (c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,B_a,B_b),c_Product__Type_OPair(T_a,T_b,B_aa,B_ba)),V_r_2)-> (hBOOL(hAPP(hAPP(V_P_2,B_a),B_b))->hBOOL(hAPP(hAPP(V_P_2,B_aa),B_ba)))))))->hBOOL(hAPP(hAPP(V_P_2,V_bx_2),V_by_2))))).
% 7.44/7.48 all V_P_2 V_r_2 V_by_2 V_bx_2 V_ay_2 V_ax_2 T_b T_a (c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_ax_2,V_ay_2),c_Product__Type_OPair(T_a,T_b,V_bx_2,V_by_2)),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2))-> (hBOOL(hAPP(hAPP(V_P_2,V_bx_2),V_by_2))-> ((all B_a B_b B_aa B_ba (c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,B_a,B_b),c_Product__Type_OPair(T_a,T_b,B_aa,B_ba)),V_r_2)-> (c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,B_aa,B_ba),c_Product__Type_OPair(T_a,T_b,V_bx_2,V_by_2)),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2))-> (hBOOL(hAPP(hAPP(V_P_2,B_aa),B_ba))->hBOOL(hAPP(hAPP(V_P_2,B_a),B_b))))))->hBOOL(hAPP(hAPP(V_P_2,V_ax_2),V_ay_2))))).
% 7.44/7.48 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)))))).
% 7.44/7.48 all V_P_2 V_r_2 V_b_2 V_a_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))-> (hBOOL(hAPP(V_P_2,V_a_2))-> ((all B_y (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,B_y),c_Transitive__Closure_Ortrancl(T_a,V_r_2))-> (all B_z (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_y,B_z),V_r_2)-> (hBOOL(hAPP(V_P_2,B_y))->hBOOL(hAPP(V_P_2,B_z)))))))->hBOOL(hAPP(V_P_2,V_b_2))))).
% 7.44/7.48 all V_P_2 V_r_2 V_b_2 V_a_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))-> (hBOOL(hAPP(V_P_2,V_b_2))-> ((all B_y B_z (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_y,B_z),V_r_2)-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_z,V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))-> (hBOOL(hAPP(V_P_2,B_z))->hBOOL(hAPP(V_P_2,B_y))))))->hBOOL(hAPP(V_P_2,V_a_2))))).
% 7.44/7.48 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)))))).
% 7.44/7.48 all V_r_2 V_b_2 V_a_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))-> (V_a_2!=V_b_2-> -(all B_y (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,B_y),c_Transitive__Closure_Ortrancl(T_a,V_r_2))-> -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_y,V_b_2),V_r_2))))).
% 7.44/7.48 all V_r_2 V_b_2 V_a_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))).
% 7.44/7.48 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))).
% 7.44/7.48 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).
% 7.44/7.48 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)).
% 7.44/7.48 all V_b_H_2 V_a_H_2 V_b_2 V_a_2 T_b T_a (c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2)=c_Product__Type_OPair(T_a,T_b,V_a_H_2,V_b_H_2)<->V_a_2=V_a_H_2&V_b_2=V_b_H_2).
% 7.44/7.48 all T_b T_a V_P_2 ((all B_x1 hBOOL(hAPP(V_P_2,B_x1)))<-> (all B_a B_b hBOOL(hAPP(V_P_2,c_Product__Type_OPair(T_a,T_b,B_a,B_b))))).
% 7.44/7.48 all V_b_2 V_a_2 V_r_2 T_a (c_Relation_Oantisym(T_a,V_r_2)-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),V_r_2)-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_b_2,V_a_2),V_r_2)->V_a_2=V_b_2))).
% 7.44/7.48 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)))).
% 7.44/7.48 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)))).
% 7.44/7.48 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))).
% 7.44/7.48 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))).
% 7.44/7.48 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))).
% 7.44/7.48 all V_r_2 V_b_2 V_a_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),V_r_2)->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))).
% 7.44/7.48 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)).
% 7.44/7.48 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).
% 7.44/7.48 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)).
% 7.44/7.48 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)).
% 7.44/7.48 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))).
% 7.44/7.48 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))).
% 7.44/7.48 all V_P_2 V_B_2 V_A_2 T_a ((exists B_x (c_member(T_a,B_x,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))&hBOOL(hAPP(V_P_2,B_x))))<-> (exists B_x (c_member(T_a,B_x,V_A_2)&hBOOL(hAPP(V_P_2,B_x))))| (exists B_x (c_member(T_a,B_x,V_B_2)&hBOOL(hAPP(V_P_2,B_x))))).
% 7.44/7.48 all V_P_2 V_B_2 V_A_2 T_a ((all B_x (c_member(T_a,B_x,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))->hBOOL(hAPP(V_P_2,B_x))))<-> (all B_x (c_member(T_a,B_x,V_A_2)->hBOOL(hAPP(V_P_2,B_x))))& (all B_x (c_member(T_a,B_x,V_B_2)->hBOOL(hAPP(V_P_2,B_x))))).
% 7.44/7.48 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))).
% 7.44/7.48 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))).
% 7.44/7.48 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)))).
% 7.44/7.48 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))).
% 7.44/7.48 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))).
% 7.44/7.48 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)).
% 7.44/7.48 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)).
% 7.44/7.48 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)).
% 7.44/7.48 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))).
% 7.44/7.48 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))).
% 7.44/7.48 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))).
% 7.44/7.48 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))).
% 7.44/7.48 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))).
% 7.44/7.48 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)).
% 7.44/7.48 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)).
% 7.44/7.48 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))).
% 7.44/7.48 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)).
% 7.44/7.48 all V_r_2 T_a c_Relation_Otrans(T_a,c_Transitive__Closure_Otrancl(T_a,V_r_2)).
% 7.44/7.48 all V_r_2 T_a (c_Relation_Otrans(T_a,V_r_2)->c_Transitive__Closure_Otrancl(T_a,V_r_2)=V_r_2).
% 7.44/7.48 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)).
% 7.44/7.48 all V_c_2 V_R_2 V_b_2 V_a_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),V_R_2)-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_b_2,V_c_2),V_R_2)->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_c_2),c_Transitive__Closure_Otrancl(T_a,V_R_2)))).
% 7.44/7.48 all V_c_2 V_r_2 V_b_2 V_a_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),V_r_2)-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_b_2,V_c_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_c_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)))).
% 7.44/7.48 all V_c_2 V_r_2 V_b_2 V_a_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_b_2,V_c_2),V_r_2)->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_c_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)))).
% 7.44/7.48 all V_c_2 V_r_2 V_b_2 V_a_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_b_2,V_c_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_c_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)))).
% 7.44/7.48 all T_a c_Relation_Oantisym(T_a,c_Relation_OId(T_a)).
% 7.44/7.48 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)))).
% 7.44/7.48 all V_A_2 T_a c_Relation_Oantisym(T_a,c_Relation_OId__on(T_a,V_A_2)).
% 7.44/7.48 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)).
% 7.44/7.48 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)).
% 7.44/7.48 all V_r_2 T_a (c_Relation_Otrans(T_a,V_r_2)->c_Relation_Otrans(T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,c_Relation_OId(T_a)))).
% 7.44/7.48 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))).
% 7.44/7.48 all V_c_2 V_r_2 V_b_2 V_a_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),V_r_2)-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_b_2,V_c_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_c_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)))).
% 7.44/7.48 all V_R_2 V_b_2 V_a_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2))->V_a_2=V_b_2|V_a_2!=V_b_2&c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Otrancl(T_a,V_R_2))).
% 7.44/7.48 all V_c_2 V_r_2 V_b_2 V_a_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_b_2,V_c_2),V_r_2)->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_c_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)))).
% 7.44/7.48 all V_c_2 V_r_2 V_b_2 V_a_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_b_2,V_c_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_c_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)))).
% 7.44/7.48 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)))).
% 7.44/7.48 all V_b_2 V_a_2 V_f1_2 T_a T_c T_b (c_Product__Type_Oprod_Oprod__rec(T_b,T_c,T_a,V_f1_2,c_Product__Type_OPair(T_b,T_c,V_a_2,V_b_2))=hAPP(hAPP(V_f1_2,V_a_2),V_b_2)).
% 7.44/7.48 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))).
% 7.44/7.48 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)).
% 7.44/7.48 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)).
% 7.44/7.48 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)).
% 7.44/7.48 all V_Q_2 V_P_2 V_b_2 V_a_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_P_2,V_Q_2)))-> ((all B_x (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_P_2))-> (all B_y (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_y,B_x),V_Q_2)->B_y=B_x))))->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_P_2)))).
% 7.44/7.48 all V_Q_2 V_P_2 V_b_2 V_a_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_P_2,V_Q_2)))-> ((all B_x (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,B_x),c_Transitive__Closure_Ortrancl(T_a,V_P_2))-> (all B_y (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_y),V_Q_2)->B_x=B_y))))->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_P_2)))).
% 7.44/7.48 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).
% 7.44/7.48 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).
% 7.44/7.48 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)).
% 7.44/7.48 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)).
% 7.44/7.48 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)).
% 7.44/7.48 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)).
% 7.44/7.48 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)).
% 7.44/7.48 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)).
% 7.44/7.48 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))).
% 7.44/7.48 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))).
% 7.44/7.48 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))).
% 7.44/7.48 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))).
% 7.44/7.48 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))).
% 7.44/7.48 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))).
% 7.44/7.48 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)).
% 7.44/7.48 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))))).
% 7.44/7.48 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)))).
% 7.44/7.48 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))))).
% 7.44/7.48 all V_b_2 V_a_2 V_c_2 T_a T_c T_b (c_Product__Type_Ointernal__split(T_b,T_c,T_a,V_c_2,c_Product__Type_OPair(T_b,T_c,V_a_2,V_b_2))=hAPP(hAPP(V_c_2,V_a_2),V_b_2)).
% 7.44/7.48 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)).
% 7.44/7.48 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))).
% 7.44/7.48 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)).
% 7.44/7.48 all V_r_2 V_A_2 T_a (c_Order__Relation_Olinear__order__on(T_a,V_A_2,V_r_2)->c_Order__Relation_Ostrict__linear__order__on(T_a,V_A_2,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,c_Relation_OId(T_a)))).
% 7.44/7.48 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))).
% 7.44/7.48 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))).
% 7.44/7.48 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)).
% 7.44/7.48 all V_b_2 V_B_2 V_a_2 T_a ((-c_member(T_a,V_a_2,V_B_2)->V_a_2=V_b_2)->c_member(T_a,V_a_2,c_Set_Oinsert(T_a,V_b_2,V_B_2))).
% 7.44/7.48 all V_A_2 V_b_2 V_a_2 T_a (c_member(T_a,V_a_2,c_Set_Oinsert(T_a,V_b_2,V_A_2))-> (V_a_2!=V_b_2->c_member(T_a,V_a_2,V_A_2))).
% 7.44/7.48 all V_B_2 V_A_2 V_c_2 T_a (c_member(T_a,V_c_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))-> -(c_member(T_a,V_c_2,V_A_2)->c_member(T_a,V_c_2,V_B_2))).
% 7.44/7.48 all V_B_2 V_A_2 V_c_2 T_a (c_member(T_a,V_c_2,V_A_2)-> (-c_member(T_a,V_c_2,V_B_2)->c_member(T_a,V_c_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)))).
% 7.44/7.48 all V_r_2 V_b_2 V_a_2 T_b T_a (c_Relation_ODomain(T_a,T_b,c_Set_Oinsert(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2),V_r_2))=c_Set_Oinsert(T_a,V_a_2,c_Relation_ODomain(T_a,T_b,V_r_2))).
% 7.44/7.48 all V_r_2 V_b_2 V_a_2 T_a T_b (c_Relation_ORange(T_b,T_a,c_Set_Oinsert(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,V_a_2,V_b_2),V_r_2))=c_Set_Oinsert(T_a,V_b_2,c_Relation_ORange(T_b,T_a,V_r_2))).
% 7.44/7.48 all V_B_2 V_A_2 V_c_2 T_a (c_member(T_a,V_c_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))<->c_member(T_a,V_c_2,V_A_2)& -c_member(T_a,V_c_2,V_B_2)).
% 7.44/7.48 all V_B_2 V_A_2 V_c_2 T_a (c_member(T_a,V_c_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))->c_member(T_a,V_c_2,V_A_2)).
% 7.44/7.48 all V_B_2 V_A_2 V_c_2 T_a (c_member(T_a,V_c_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))-> -c_member(T_a,V_c_2,V_B_2)).
% 7.44/7.48 all V_B_2 V_a_2 T_a c_member(T_a,V_a_2,c_Set_Oinsert(T_a,V_a_2,V_B_2)).
% 7.44/7.48 all V_A_2 V_b_2 V_a_2 T_a (c_member(T_a,V_a_2,c_Set_Oinsert(T_a,V_b_2,V_A_2))<->V_a_2=V_b_2|c_member(T_a,V_a_2,V_A_2)).
% 7.44/7.48 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))).
% 7.44/7.48 all V_b_2 V_B_2 V_a_2 T_a (c_member(T_a,V_a_2,V_B_2)->c_member(T_a,V_a_2,c_Set_Oinsert(T_a,V_b_2,V_B_2))).
% 7.44/7.48 all V_A_2 V_a_2 T_a (c_member(T_a,V_a_2,V_A_2)->c_Set_Oinsert(T_a,V_a_2,V_A_2)=V_A_2).
% 7.44/7.48 all V_A_2 V_B_2 V_x_2 T_a (c_member(T_a,V_x_2,V_B_2)->c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_x_2,V_A_2),V_B_2)=c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)).
% 7.44/7.48 all V_A_2 V_B_2 V_x_2 T_a ((c_member(T_a,V_x_2,V_B_2)->c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_x_2,V_A_2),V_B_2)=c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))& (-c_member(T_a,V_x_2,V_B_2)->c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_x_2,V_A_2),V_B_2)=c_Set_Oinsert(T_a,V_x_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)))).
% 7.44/7.48 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))).
% 7.44/7.48 all V_B_2 V_A_2 T_a (c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_B_2)=c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)).
% 7.44/7.48 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))).
% 7.44/7.48 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)).
% 7.44/7.48 all V_x_2 V_B_2 V_A_2 T_b T_a (class_Groups_Ominus(T_a)->hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,T_a),V_A_2,V_B_2),V_x_2)=c_Groups_Ominus__class_Ominus(T_a,hAPP(V_A_2,V_x_2),hAPP(V_B_2,V_x_2))).
% 7.44/7.48 all V_C_2 V_B_2 V_A_2 T_a (c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_C_2)=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2))).
% 7.44/7.48 all V_A_2 V_B_2 T_a (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2),V_A_2)=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2)).
% 7.48/7.48 all V_B_2 V_A_2 T_a (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2))=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)).
% 7.48/7.48 all V_C_2 V_B_2 V_a_2 T_a (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_a_2,V_B_2),V_C_2)=c_Set_Oinsert(T_a,V_a_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2))).
% 7.48/7.48 all V_B_2 V_a_2 V_A_2 T_a (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_a_2,V_B_2))=c_Set_Oinsert(T_a,V_a_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))).
% 7.48/7.48 all V_r_2 T_a (c_Transitive__Closure_Ortrancl(T_a,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,c_Relation_OId(T_a)))=c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 7.48/7.48 all V_r_2 V_A_2 T_a (c_Relation_Ototal__on(T_a,V_A_2,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,c_Relation_OId(T_a)))<->c_Relation_Ototal__on(T_a,V_A_2,V_r_2)).
% 7.48/7.48 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))).
% 7.48/7.48 all V_r_2 T_a c_Relation_Oirrefl(T_a,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,c_Relation_OId(T_a))).
% 7.48/7.48 all V_r_2 T_a (c_Relation_Otrans(T_a,V_r_2)-> (c_Relation_Oantisym(T_a,V_r_2)->c_Relation_Otrans(T_a,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,c_Relation_OId(T_a))))).
% 7.48/7.48 all V_r_2 V_b_2 V_a_2 T_a (c_Relation_OField(T_a,c_Set_Oinsert(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),V_r_2))=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_a_2,c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),c_Relation_OField(T_a,V_r_2))).
% 7.48/7.48 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))).
% 7.48/7.48 all V_r_2 V_b_2 V_a_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))-> (-c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),V_r_2)-> -(all B_c (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,B_c),c_Transitive__Closure_Otrancl(T_a,V_r_2))-> -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_c,V_b_2),V_r_2))))).
% 7.48/7.48 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)))))).
% 7.48/7.48 all V_B_2 V_A_2 T_b T_a c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Relation_ORange(T_b,T_a,V_A_2),c_Relation_ORange(T_b,T_a,V_B_2)),c_Relation_ORange(T_b,T_a,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),V_A_2,V_B_2))).
% 7.48/7.48 all V_x T_a (class_Orderings_Opreorder(T_a)->c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_x)).
% 7.48/7.48 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)).
% 7.48/7.48 all T_a c_Wellfounded_Owf(T_a,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))).
% 7.48/7.48 all V_a_2 T_a (-c_member(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))).
% 7.48/7.48 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))).
% 7.48/7.48 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).
% 7.48/7.48 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))).
% 7.48/7.48 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)))).
% 7.48/7.48 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)))).
% 7.48/7.48 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))).
% 7.48/7.48 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))).
% 7.48/7.48 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))).
% 7.48/7.48 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))).
% 7.48/7.48 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))).
% 7.48/7.48 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))).
% 7.48/7.48 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))).
% 7.48/7.48 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))).
% 7.48/7.48 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))).
% 7.48/7.48 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))).
% 7.48/7.48 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))).
% 7.48/7.48 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))).
% 7.48/7.48 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))).
% 7.48/7.48 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))).
% 7.48/7.48 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)).
% 7.48/7.48 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).
% 7.48/7.48 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)).
% 7.48/7.48 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))).
% 7.48/7.48 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))))).
% 7.48/7.48 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)).
% 7.48/7.48 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)).
% 7.48/7.48 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))).
% 7.48/7.48 all V_Q_2 T_a V_x_2 V_P_2 (hBOOL(hAPP(V_P_2,V_x_2))-> (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_P_2,V_Q_2)->hBOOL(hAPP(V_Q_2,V_x_2)))).
% 7.48/7.48 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)).
% 7.48/7.48 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)).
% 7.48/7.48 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))).
% 7.48/7.48 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)))).
% 7.48/7.48 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))).
% 7.48/7.48 all V_x_2 V_Q_2 V_P_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_P_2,V_Q_2)-> (hBOOL(hAPP(V_P_2,V_x_2))->hBOOL(hAPP(V_Q_2,V_x_2)))).
% 7.48/7.48 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)))).
% 7.48/7.48 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)))).
% 7.48/7.48 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))).
% 7.48/7.48 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)))).
% 7.48/7.48 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)))).
% 7.48/7.48 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))).
% 7.48/7.48 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)))).
% 7.48/7.48 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))).
% 7.48/7.48 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)))).
% 7.48/7.48 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))).
% 7.48/7.48 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)))).
% 7.48/7.48 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))).
% 7.48/7.48 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))).
% 7.48/7.48 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))).
% 7.48/7.48 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))).
% 7.48/7.48 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))).
% 7.48/7.48 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))).
% 7.48/7.48 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))).
% 7.48/7.48 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))).
% 7.48/7.48 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)).
% 7.48/7.48 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))).
% 7.48/7.48 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)))).
% 7.48/7.48 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)))).
% 7.48/7.48 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)).
% 7.48/7.48 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)).
% 7.48/7.48 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)))).
% 7.48/7.48 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)))).
% 7.48/7.48 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))))).
% 7.48/7.48 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)))).
% 7.48/7.48 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))).
% 7.48/7.48 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))).
% 7.48/7.48 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)))).
% 7.48/7.48 all V_a_2 T_a V_A_2 (V_A_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))-> -c_member(T_a,V_a_2,V_A_2)).
% 7.48/7.48 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))).
% 7.48/7.48 all V_a_2 V_B_2 T_a c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,c_Set_Oinsert(T_a,V_a_2,V_B_2)).
% 7.48/7.48 all V_b_2 V_B_2 V_A_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)->c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_b_2,V_B_2))).
% 7.48/7.48 all V_a_2 V_D_2 V_C_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_D_2)->c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_a_2,V_C_2),c_Set_Oinsert(T_a,V_a_2,V_D_2))).
% 7.48/7.48 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))).
% 7.48/7.48 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)).
% 7.48/7.48 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)).
% 7.48/7.48 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).
% 7.48/7.48 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).
% 7.48/7.48 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).
% 7.48/7.48 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))).
% 7.48/7.48 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)))).
% 7.48/7.48 all V_B_2 V_A_2 T_a c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_A_2).
% 7.48/7.48 all V_B_2 V_D_2 V_C_2 V_A_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2)-> (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_D_2,V_B_2)->c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_D_2)))).
% 7.48/7.48 all V_C_2 V_B_2 V_A_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)-> (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)->c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_B_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_A_2))=V_A_2)).
% 7.48/7.48 all V_A_2 V_a_2 T_a (c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))!=c_Set_Oinsert(T_a,V_a_2,V_A_2)).
% 7.48/7.48 all V_A_2 V_a_2 T_a (c_Set_Oinsert(T_a,V_a_2,V_A_2)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))).
% 7.48/7.48 all V_d_2 V_c_2 V_b_2 V_a_2 T_a (c_Set_Oinsert(T_a,V_a_2,c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))=c_Set_Oinsert(T_a,V_c_2,c_Set_Oinsert(T_a,V_d_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))<->V_a_2=V_c_2&V_b_2=V_d_2|V_a_2=V_d_2&V_b_2=V_c_2).
% 7.48/7.48 all V_b_2 V_a_2 T_a (c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))=c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))->V_a_2=V_b_2).
% 7.48/7.48 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))).
% 7.48/7.48 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))).
% 7.48/7.48 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).
% 7.48/7.48 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).
% 7.48/7.48 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))).
% 7.48/7.48 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))).
% 7.48/7.48 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))).
% 7.48/7.48 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))).
% 7.48/7.48 all V_A_2 T_a (c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_A_2)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))).
% 7.48/7.48 all V_A_2 T_a (c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))=V_A_2).
% 7.48/7.48 all V_A_2 T_a (c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_A_2)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))).
% 7.48/7.48 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))).
% 7.48/7.48 all V_r_2 T_a (c_Wellfounded_Owf(T_a,V_r_2)->c_Wellfounded_Oacyclic(T_a,V_r_2)).
% 7.48/7.48 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))).
% 7.48/7.48 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))).
% 7.48/7.48 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))).
% 7.48/7.48 all T_a c_Relation_Oantisym(T_a,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))).
% 7.48/7.48 all V_B_2 V_x_2 V_A_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_x_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_B_2)-> (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)))).
% 7.48/7.48 all V_B_2 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,V_B_2))<-> (c_member(T_a,V_x_2,V_A_2)->c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_x_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_B_2))& (-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))).
% 7.48/7.48 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).
% 7.48/7.48 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))).
% 7.48/7.48 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).
% 7.48/7.48 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).
% 7.48/7.48 all V_a_2 V_r_2 T_a (c_Wellfounded_Owf(T_a,V_r_2)-> -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_a_2),V_r_2)).
% 7.48/7.48 all V_x_2 V_a_2 V_r_2 T_a (c_Wellfounded_Owf(T_a,V_r_2)-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_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_a_2),V_r_2))).
% 7.48/7.48 all V_x_2 V_a_2 V_r_2 T_a (c_Wellfounded_Owf(T_a,V_r_2)-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_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_a_2),V_r_2))).
% 7.48/7.48 all V_a_2 V_r_2 T_a (c_Wellfounded_Owf(T_a,V_r_2)-> -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_a_2),V_r_2)).
% 7.48/7.48 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)).
% 7.48/7.48 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))).
% 7.48/7.48 all V_a_2 V_b_2 T_a (c_member(T_a,V_b_2,c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))<->V_b_2=V_a_2).
% 7.48/7.48 all V_a_2 V_b_2 T_a (c_member(T_a,V_b_2,c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))->V_b_2=V_a_2).
% 7.48/7.48 all V_C_2 V_B_2 V_A_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_C_2)<->c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2))).
% 7.48/7.48 all V_B_2 V_A_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)->c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2))=V_B_2).
% 7.48/7.48 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)))).
% 7.48/7.48 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))).
% 7.48/7.48 all V_A_2 V_a_2 T_a (c_Set_Oinsert(T_a,V_a_2,V_A_2)=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_A_2)).
% 7.48/7.48 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)))).
% 7.48/7.48 all V_B_2 V_a_2 V_A_2 T_a (c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_a_2,V_B_2))=c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))).
% 7.48/7.48 all V_B_2 V_a_2 V_A_2 T_a (c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_a_2,V_B_2))=c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_B_2)).
% 7.48/7.48 all V_A_2 V_a_2 T_a (c_Set_Oinsert(T_a,V_a_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))=c_Set_Oinsert(T_a,V_a_2,V_A_2)).
% 7.48/7.48 all V_A_2 T_a (c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))).
% 7.48/7.48 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))).
% 7.48/7.48 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)).
% 7.48/7.48 all V_A_2 V_a_2 T_a (c_member(T_a,V_a_2,V_A_2)->c_Set_Oinsert(T_a,V_a_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))=V_A_2).
% 7.48/7.48 all V_A_2 V_x_2 T_a (-c_member(T_a,V_x_2,V_A_2)->c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_x_2,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).
% 7.48/7.48 all V_B_2 V_A_2 T_b T_a c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Relation_ODomain(T_a,T_b,V_A_2),c_Relation_ODomain(T_a,T_b,V_B_2)),c_Relation_ODomain(T_a,T_b,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),V_A_2,V_B_2))).
% 7.48/7.48 all V_r_2 V_A_2 T_a (c_Order__Relation_Owell__order__on(T_a,V_A_2,V_r_2)<->c_Order__Relation_Olinear__order__on(T_a,V_A_2,V_r_2)&c_Wellfounded_Owf(T_a,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,c_Relation_OId(T_a)))).
% 7.48/7.48 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).
% 7.48/7.48 all V_y_2 V_z_2 V_f_2 T_b V_A_2 V_x_2 T_a (c_member(T_a,V_x_2,V_A_2)-> (c_Nitpick_Ofold__graph_H(T_a,T_b,V_f_2,V_z_2,c_Groups_Ominus__class_Ominus(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_y_2)->c_Nitpick_Ofold__graph_H(T_a,T_b,V_f_2,V_z_2,V_A_2,hAPP(hAPP(V_f_2,V_x_2),V_y_2)))).
% 7.48/7.48 all V_b_2 V_a_2 V_r_2 T_a (c_Order__Relation_Opreorder__on(T_a,c_Relation_OField(T_a,V_r_2),V_r_2)-> (c_member(T_a,V_a_2,c_Relation_OField(T_a,V_r_2))-> (c_member(T_a,V_b_2,c_Relation_OField(T_a,V_r_2))-> (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))<->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_b_2,V_a_2),V_r_2))))).
% 7.48/7.48 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))).
% 7.48/7.48 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)))).
% 7.48/7.48 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)).
% 7.48/7.48 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))).
% 7.48/7.48 all V_A_2 T_a (c_Relation_OImage(T_a,T_a,c_Relation_OId(T_a),V_A_2)=V_A_2).
% 7.48/7.48 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).
% 7.48/7.48 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))).
% 7.48/7.48 all V_z_2 V_f_2 T_b T_a c_Nitpick_Ofold__graph_H(T_a,T_b,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_z_2).
% 7.48/7.48 all V_a2_2 V_a1_2 T_b T_a c_Nitpick_Ofold__graph_H(T_a,T_b,V_a1_2,V_a2_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_a2_2).
% 7.48/7.48 all V_r_2 V_b_2 T_b V_A_2 V_a_2 T_a (c_member(T_a,V_a_2,V_A_2)-> (c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2),V_r_2)->c_member(T_b,V_b_2,c_Relation_OImage(T_a,T_b,V_r_2,V_A_2)))).
% 7.48/7.48 all V_A_2 V_r_2 T_b V_b_2 T_a (c_member(T_a,V_b_2,c_Relation_OImage(T_b,T_a,V_r_2,V_A_2))<-> (exists B_x (c_member(T_b,B_x,V_A_2)&c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,B_x,V_b_2),V_r_2)))).
% 7.48/7.48 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)))).
% 7.48/7.48 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))).
% 7.48/7.48 all V_a_2 V_r_2 T_b V_b_2 T_a (c_member(T_a,V_b_2,c_Relation_OImage(T_b,T_a,V_r_2,c_Set_Oinsert(T_b,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))<->c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,V_a_2,V_b_2),V_r_2)).
% 7.48/7.48 all V_b_2 V_a_2 V_r_2 T_a (c_Order__Relation_Opartial__order__on(T_a,c_Relation_OField(T_a,V_r_2),V_r_2)-> (c_member(T_a,V_a_2,c_Relation_OField(T_a,V_r_2))-> (c_member(T_a,V_b_2,c_Relation_OField(T_a,V_r_2))-> (c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))=c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))<->V_a_2=V_b_2)))).
% 7.48/7.48 all V_b_2 V_a_2 V_r_2 T_a (c_Relation_Orefl__on(T_a,c_Relation_OField(T_a,V_r_2),V_r_2)-> (c_Relation_Oantisym(T_a,V_r_2)-> (c_member(T_a,V_a_2,c_Relation_OField(T_a,V_r_2))-> (c_member(T_a,V_b_2,c_Relation_OField(T_a,V_r_2))-> (c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))=c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))<->V_a_2=V_b_2))))).
% 7.48/7.48 all V_B_2 V_A_2 V_r_2 T_a (c_Order__Relation_Opreorder__on(T_a,c_Relation_OField(T_a,V_r_2),V_r_2)-> (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Relation_OField(T_a,V_r_2))-> (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,c_Relation_OField(T_a,V_r_2))-> (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Relation_OImage(T_a,T_a,V_r_2,V_A_2),c_Relation_OImage(T_a,T_a,V_r_2,V_B_2))<-> (all B_x (c_member(T_a,B_x,V_A_2)-> (exists B_xa (c_member(T_a,B_xa,V_B_2)&c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_xa,B_x),V_r_2))))))))).
% 7.48/7.48 all V_f_2 T_a c_Wellfounded_Owf(T_a,c_Wellfounded_Omeasure(T_a,V_f_2)).
% 7.48/7.48 all V_a5_2 V_a1_2 V_a2_2 V_a4_2 V_a3_2 T_b T_a (c_Nitpick_Ofold__graph_H(T_a,T_b,V_a3_2,V_a4_2,V_a2_2,hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2))<->V_a2_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))&hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2)=V_a4_2| (exists B_x B_y (hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2)=hAPP(hAPP(V_a3_2,B_x),B_y)&c_member(T_a,B_x,V_a2_2)&c_Nitpick_Ofold__graph_H(T_a,T_b,V_a3_2,V_a4_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_a2_2,c_Set_Oinsert(T_a,B_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),B_y)))).
% 7.48/7.48 all V_d_2 V_c_2 V_b_2 V_a_2 T_a (class_Groups_Oordered__ab__group__add(T_a)-> (c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2)=c_Groups_Ominus__class_Ominus(T_a,V_c_2,V_d_2)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,V_b_2)<->c_Orderings_Oord__class_Oless__e_q(T_a,V_c_2,V_d_2)))).
% 7.48/7.48 all V_d_2 V_c_2 V_b_2 V_a_2 T_a (class_Groups_Oab__group__add(T_a)-> (c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2)=c_Groups_Ominus__class_Ominus(T_a,V_c_2,V_d_2)-> (V_a_2=V_b_2<->V_c_2=V_d_2))).
% 7.48/7.48 all V_A_2 V_r_2 T_b V_b_2 T_a (c_member(T_a,V_b_2,c_Relation_OImage(T_b,T_a,V_r_2,V_A_2))-> -(all B_x (c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,B_x,V_b_2),V_r_2)-> -c_member(T_b,B_x,V_A_2)))).
% 7.48/7.48 all T_a V_R_2 T_b V_P_2 ((all B_x (hBOOL(hAPP(V_P_2,B_x))->c_Wellfounded_Owf(T_b,hAPP(V_R_2,B_x))))->c_Wellfounded_Owf(tc_prod(T_a,T_b),c_Recdef_Osame__fst(T_a,T_b,V_P_2,V_R_2))).
% 7.48/7.48 all V_a_2 V_b_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_b_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_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))-> (c_member(T_a,V_b_2,V_A_2)->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),V_r_2)))).
% 7.48/7.48 all V_a_2 V_H_2 V_r_2 T_b T_a V_f_2 (V_f_2=c_Recdef_Owfrec(T_a,T_b,V_r_2,V_H_2)-> (c_Wellfounded_Owf(T_a,V_r_2)->hAPP(V_f_2,V_a_2)=hAPP(hAPP(V_H_2,c_Recdef_Ocut(T_a,T_b,V_f_2,V_r_2,V_a_2)),V_a_2))).
% 7.48/7.48 all V_a_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_a_2,V_A_2)->c_member(T_a,V_a_2,c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))))).
% 7.48/7.48 all V_b_2 V_a_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_a_2,V_b_2),V_r_2)->c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))=c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))).
% 7.48/7.48 all V_A_2 V_b_2 V_a_2 V_r_2 T_a (c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))=c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))-> (c_Equiv__Relations_Oe_quiv(T_a,V_A_2,V_r_2)-> (c_member(T_a,V_b_2,V_A_2)->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),V_r_2)))).
% 7.48/7.48 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))))).
% 7.48/7.48 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))).
% 7.48/7.48 all V_b_2 V_a_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_a_2,V_b_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_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))))).
% 7.48/7.48 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)))).
% 7.48/7.48 all V_a_2 V_H_2 T_b V_r_2 T_a (c_Wellfounded_Owf(T_a,V_r_2)->hAPP(c_Recdef_Owfrec(T_a,T_b,V_r_2,V_H_2),V_a_2)=hAPP(hAPP(V_H_2,c_Recdef_Ocut(T_a,T_b,c_Recdef_Owfrec(T_a,T_b,V_r_2,V_H_2),V_r_2,V_a_2)),V_a_2)).
% 7.48/7.48 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))))).
% 7.48/7.48 all V_b_2 V_a_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_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))))->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),V_r_2))).
% 7.48/7.48 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)))).
% 7.48/7.48 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)))).
% 7.48/7.48 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))).
% 7.48/7.48 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)))).
% 7.48/7.48 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))))).
% 7.48/7.48 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))).
% 7.48/7.48 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))).
% 7.48/7.48 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))).
% 7.48/7.48 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)).
% 7.48/7.48 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)).
% 7.48/7.48 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)).
% 7.48/7.48 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)).
% 7.48/7.48 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)).
% 7.48/7.48 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)).
% 7.48/7.48 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)).
% 7.48/7.48 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))).
% 7.48/7.48 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))).
% 7.48/7.48 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))).
% 7.48/7.48 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)).
% 7.48/7.48 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)).
% 7.48/7.48 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))))).
% 7.48/7.48 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))))).
% 7.48/7.48 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))))).
% 7.48/7.48 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)))).
% 7.48/7.48 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))).
% 7.48/7.48 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))).
% 7.48/7.48 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))).
% 7.48/7.48 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))).
% 7.48/7.48 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).
% 7.48/7.48 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).
% 7.48/7.48 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))).
% 7.48/7.48 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))))).
% 7.48/7.48 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).
% 7.48/7.48 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).
% 7.48/7.48 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)))).
% 7.48/7.48 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)))).
% 7.48/7.48 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))).
% 7.48/7.48 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))).
% 7.48/7.48 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)))).
% 7.48/7.48 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)))).
% 7.48/7.48 all V_B_2 V_C_2 V_a_2 T_a (c_member(T_a,V_a_2,V_C_2)->c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_a_2,V_B_2),V_C_2)=c_Set_Oinsert(T_a,V_a_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2))).
% 7.48/7.48 all V_B_2 V_A_2 V_a_2 T_a (c_member(T_a,V_a_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_a_2,V_B_2))=c_Set_Oinsert(T_a,V_a_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))).
% 7.48/7.48 all V_B_2 V_C_2 V_a_2 T_a (-c_member(T_a,V_a_2,V_C_2)->c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_a_2,V_B_2),V_C_2)=c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)).
% 7.48/7.48 all V_B_2 V_A_2 V_a_2 T_a (-c_member(T_a,V_a_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_a_2,V_B_2))=c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)).
% 7.48/7.48 all V_B_2 V_C_2 V_a_2 T_a ((c_member(T_a,V_a_2,V_C_2)->c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_a_2,V_B_2),V_C_2)=c_Set_Oinsert(T_a,V_a_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)))& (-c_member(T_a,V_a_2,V_C_2)->c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_a_2,V_B_2),V_C_2)=c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2))).
% 7.48/7.48 all V_B_2 V_A_2 V_a_2 T_a ((c_member(T_a,V_a_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_a_2,V_B_2))=c_Set_Oinsert(T_a,V_a_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_a_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_a_2,V_B_2))=c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))).
% 7.48/7.48 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_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))).
% 7.48/7.48 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))->c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)=V_A_2).
% 7.48/7.48 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)).
% 7.48/7.48 all V_B_2 V_A_2 T_a (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_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).
% 7.48/7.48 all V_C_2 V_B_2 V_A_2 T_a (c_Groups_Ominus__class_Ominus(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__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2))).
% 7.48/7.48 all V_C_2 V_B_2 V_A_2 T_a (c_Groups_Ominus__class_Ominus(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__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2))).
% 7.48/7.48 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).
% 7.48/7.48 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).
% 7.48/7.48 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)).
% 7.48/7.48 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)).
% 7.48/7.48 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)).
% 7.48/7.48 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)).
% 7.48/7.48 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)).
% 7.48/7.48 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)).
% 7.48/7.48 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))).
% 7.48/7.48 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))).
% 7.48/7.48 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))).
% 7.48/7.48 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))).
% 7.48/7.48 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))).
% 7.48/7.48 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))).
% 7.48/7.48 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))).
% 7.48/7.48 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).
% 7.48/7.48 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)).
% 7.48/7.48 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)).
% 7.48/7.48 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))).
% 7.48/7.48 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))).
% 7.48/7.48 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))).
% 7.48/7.48 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))).
% 7.48/7.48 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)))).
% 7.48/7.48 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)).
% 7.48/7.48 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)).
% 7.48/7.48 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)).
% 7.48/7.48 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).
% 7.48/7.48 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).
% 7.48/7.48 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))).
% 7.48/7.48 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))).
% 7.48/7.48 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))).
% 7.48/7.48 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))).
% 7.48/7.48 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))).
% 7.48/7.48 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).
% 7.48/7.48 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).
% 7.48/7.48 all V_s_2 V_r_2 T_a (c_Relation_Otrans(T_a,V_r_2)-> (c_Relation_Otrans(T_a,V_s_2)->c_Relation_Otrans(T_a,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,V_s_2)))).
% 7.48/7.48 all V_B_2 V_C_2 V_A_2 T_a (c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2))=c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2),V_B_2)).
% 7.48/7.48 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_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_C_2)=c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2))).
% 7.48/7.48 all V_C_2 V_B_2 V_A_2 T_a (c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__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_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2))).
% 7.48/7.48 all V_B_2 V_A_2 V_C_2 T_a (c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_C_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))=c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),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),V_C_2,V_B_2))).
% 7.48/7.48 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))).
% 7.48/7.48 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))).
% 7.48/7.48 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))).
% 7.48/7.48 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))).
% 7.48/7.48 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))).
% 7.48/7.49 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).
% 7.48/7.49 class_Lattices_Obounded__lattice(tc_HOL_Obool).
% 7.48/7.49 all T_2 T_1 (class_Lattices_Obounded__lattice(T_1)->class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))).
% 7.48/7.49 all T_2 T_1 (class_Lattices_Obounded__lattice(T_1)->class_Lattices_Obounded__lattice__top(tc_fun(T_2,T_1))).
% 7.48/7.49 all T_2 T_1 (class_Lattices_Obounded__lattice(T_1)->class_Lattices_Obounded__lattice__bot(tc_fun(T_2,T_1))).
% 7.48/7.49 all T_2 T_1 (class_Lattices_Olattice(T_1)->class_Lattices_Osemilattice__sup(tc_fun(T_2,T_1))).
% 7.48/7.49 all T_2 T_1 (class_Lattices_Olattice(T_1)->class_Lattices_Osemilattice__inf(tc_fun(T_2,T_1))).
% 7.48/7.49 all T_2 T_1 (class_Lattices_Odistrib__lattice(T_1)->class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1))).
% 7.48/7.49 all T_2 T_1 (class_Orderings_Opreorder(T_1)->class_Orderings_Opreorder(tc_fun(T_2,T_1))).
% 7.48/7.49 all T_2 T_1 (class_Lattices_Olattice(T_1)->class_Lattices_Olattice(tc_fun(T_2,T_1))).
% 7.48/7.49 all T_2 T_1 (class_Orderings_Oorder(T_1)->class_Orderings_Oorder(tc_fun(T_2,T_1))).
% 7.48/7.49 all T_2 T_1 (class_Orderings_Otop(T_1)->class_Orderings_Otop(tc_fun(T_2,T_1))).
% 7.48/7.49 all T_2 T_1 (class_Orderings_Oord(T_1)->class_Orderings_Oord(tc_fun(T_2,T_1))).
% 7.48/7.49 all T_2 T_1 (class_Orderings_Obot(T_1)->class_Orderings_Obot(tc_fun(T_2,T_1))).
% 7.48/7.49 all T_2 T_1 (class_Groups_Ominus(T_1)->class_Groups_Ominus(tc_fun(T_2,T_1))).
% 7.48/7.49 class_Lattices_Obounded__lattice__top(tc_HOL_Obool).
% 7.48/7.49 class_Lattices_Obounded__lattice__bot(tc_HOL_Obool).
% 7.48/7.49 class_Lattices_Osemilattice__sup(tc_HOL_Obool).
% 7.48/7.49 class_Lattices_Osemilattice__inf(tc_HOL_Obool).
% 7.48/7.49 class_Lattices_Odistrib__lattice(tc_HOL_Obool).
% 7.48/7.49 class_Orderings_Opreorder(tc_HOL_Obool).
% 7.48/7.49 class_Lattices_Olattice(tc_HOL_Obool).
% 7.48/7.49 class_Orderings_Oorder(tc_HOL_Obool).
% 7.48/7.49 class_Orderings_Otop(tc_HOL_Obool).
% 7.48/7.49 class_Orderings_Oord(tc_HOL_Obool).
% 7.48/7.49 class_Orderings_Obot(tc_HOL_Obool).
% 7.48/7.49 class_Groups_Ominus(tc_HOL_Obool).
% 7.48/7.49 all V_y_2 V_x_2 (-hBOOL(hAPP(c_fe_qual(V_x_2),V_y_2))|V_x_2=V_y_2).
% 7.48/7.49 all V_y_2 V_x_2 (V_x_2!=V_y_2|hBOOL(hAPP(c_fe_qual(V_x_2),V_y_2))).
% 7.48/7.49 all B_P ((all B_x (c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(B_P,B_x))&c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(B_P,B_x))&c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(B_P,B_x))))-> (all B_a B_b (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_P,v_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),v_F(B_P)))))).
% 7.48/7.49 all B_x (c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,B_x))&c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,B_x))&c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,B_x))).
% 7.48/7.49 c_member(tc_prod(tc_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),v_F(v_P)).
% 7.48/7.49 (all B_x (c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,B_x))&c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,B_x))&c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,B_x))))->c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))&c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))&c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),v_F(v_P)).
% 7.48/7.49 -c_member(tc_prod(tc_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,v_i)).
% 7.48/7.49 end_of_list.
% 7.48/7.49
% 7.48/7.49 -------> usable clausifies to:
% 7.48/7.49
% 7.48/7.49 list(usable).
% 7.48/7.49 0 [] A=A.
% 7.48/7.49 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.
% 7.48/7.49 0 [] c_member(T_a,V_x_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))).
% 7.48/7.49 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).
% 7.48/7.49 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,$f2(V_r_2,T_a),$f2(V_r_2,T_a)),V_r_2).
% 7.48/7.49 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).
% 7.48/7.49 0 [] c_Relation_Ototal__on(T_a,V_A_2,V_r_2)|c_member(T_a,$f4(V_r_2,V_A_2,T_a),V_A_2).
% 7.48/7.49 0 [] c_Relation_Ototal__on(T_a,V_A_2,V_r_2)|c_member(T_a,$f3(V_r_2,V_A_2,T_a),V_A_2).
% 7.48/7.49 0 [] c_Relation_Ototal__on(T_a,V_A_2,V_r_2)|$f4(V_r_2,V_A_2,T_a)!=$f3(V_r_2,V_A_2,T_a).
% 7.48/7.49 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,$f4(V_r_2,V_A_2,T_a),$f3(V_r_2,V_A_2,T_a)),V_r_2).
% 7.48/7.49 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,$f3(V_r_2,V_A_2,T_a),$f4(V_r_2,V_A_2,T_a)),V_r_2).
% 7.48/7.49 0 [] -c_Relation_Otrans(T_a,V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_y),V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_y,B_z),V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_z),V_r_2).
% 7.48/7.49 0 [] c_Relation_Otrans(T_a,V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f7(V_r_2,T_a),$f6(V_r_2,T_a)),V_r_2).
% 7.48/7.49 0 [] c_Relation_Otrans(T_a,V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f6(V_r_2,T_a),$f5(V_r_2,T_a)),V_r_2).
% 7.48/7.49 0 [] c_Relation_Otrans(T_a,V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f7(V_r_2,T_a),$f5(V_r_2,T_a)),V_r_2).
% 7.48/7.49 0 [] -c_Relation_Otrans(T_a,V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_b_2,V_c_2),V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_c_2),V_r_2).
% 7.48/7.49 0 [] hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),V_x_2)).
% 7.48/7.49 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).
% 7.48/7.49 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).
% 7.48/7.49 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.
% 7.48/7.49 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.
% 7.48/7.49 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).
% 7.48/7.49 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).
% 7.48/7.49 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.
% 7.48/7.49 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).
% 7.48/7.49 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.
% 7.48/7.49 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.
% 7.48/7.49 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).
% 7.48/7.49 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).
% 7.48/7.49 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.
% 7.48/7.49 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).
% 7.48/7.49 0 [] -c_Order__Relation_Ostrict__linear__order__on(T_a,V_A_2,V_r_2)|c_Relation_Otrans(T_a,V_r_2).
% 7.48/7.49 0 [] -c_Order__Relation_Ostrict__linear__order__on(T_a,V_A_2,V_r_2)|c_Relation_Oirrefl(T_a,V_r_2).
% 7.48/7.49 0 [] -c_Order__Relation_Ostrict__linear__order__on(T_a,V_A_2,V_r_2)|c_Relation_Ototal__on(T_a,V_A_2,V_r_2).
% 7.48/7.49 0 [] c_Order__Relation_Ostrict__linear__order__on(T_a,V_A_2,V_r_2)| -c_Relation_Otrans(T_a,V_r_2)| -c_Relation_Oirrefl(T_a,V_r_2)| -c_Relation_Ototal__on(T_a,V_A_2,V_r_2).
% 7.48/7.49 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).
% 7.48/7.49 0 [] c_member(T_a,V_x_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))).
% 7.48/7.49 0 [] V_a_2!=V_b_2| -c_member(T_a,V_b_2,V_A_2)|c_member(T_a,V_a_2,V_A_2).
% 7.48/7.49 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).
% 7.48/7.49 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).
% 7.48/7.49 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).
% 7.48/7.49 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).
% 7.48/7.49 0 [] -c_member(T_a,V_x_2,c_fe_qual(V_y_2))|V_x_2=V_y_2.
% 7.48/7.49 0 [] c_member(T_a,V_x_2,c_fe_qual(V_y_2))|V_x_2!=V_y_2.
% 7.48/7.49 0 [] -c_member(T_a,V_x_2,V_A_2)|hBOOL(hAPP(V_A_2,V_x_2)).
% 7.48/7.49 0 [] c_member(T_a,V_x_2,V_A_2)| -hBOOL(hAPP(V_A_2,V_x_2)).
% 7.48/7.49 0 [] -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).
% 7.48/7.49 0 [] 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).
% 7.48/7.49 0 [] -hBOOL(hAPP(V_P_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_P_2,V_R_2)).
% 7.48/7.49 0 [] -c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2),V_r_2)|c_member(T_b,V_b_2,c_Relation_ORange(T_a,T_b,V_r_2)).
% 7.48/7.49 0 [] V_a_2!=V_b_2| -c_member(T_a,V_a_2,V_A_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Relation_OId__on(T_a,V_A_2)).
% 7.48/7.49 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.
% 7.48/7.49 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).
% 7.48/7.49 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).
% 7.48/7.49 0 [] -c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2),V_r_2)|c_member(T_a,V_a_2,c_Relation_ODomain(T_a,T_b,V_r_2)).
% 7.48/7.49 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).
% 7.48/7.49 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,$f8(V_r_2,T_a),$f8(V_r_2,T_a)),V_r_2).
% 7.48/7.49 0 [] c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f11(V_r_2,T_a),$f10(V_r_2,T_a)),V_r_2)|c_Relation_Otrans(T_a,V_r_2).
% 7.48/7.49 0 [] c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f10(V_r_2,T_a),$f9(V_r_2,T_a)),V_r_2)|c_Relation_Otrans(T_a,V_r_2).
% 7.48/7.49 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f11(V_r_2,T_a),$f9(V_r_2,T_a)),V_r_2)|c_Relation_Otrans(T_a,V_r_2).
% 7.48/7.49 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_a_2,V_b_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_b_2,V_a_2),V_L_2).
% 7.48/7.49 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).
% 7.48/7.49 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).
% 7.48/7.49 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).
% 7.48/7.49 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).
% 7.48/7.49 0 [] c_Relation_ORange(T_a,T_a,c_Relation_OId__on(T_a,V_A_2))=V_A_2.
% 7.48/7.49 0 [] c_Relation_ODomain(T_a,T_a,c_Relation_OId__on(T_a,V_A_2))=V_A_2.
% 7.48/7.49 0 [] c_Relation_Otrans(T_a,c_Relation_OId__on(T_a,V_A_2)).
% 7.48/7.49 0 [] -c_Relation_Otrans(T_a,V_r_2)|c_Relation_Otrans(T_b,c_Relation_Oinv__image(T_a,T_b,V_r_2,V_f_2)).
% 7.48/7.49 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).
% 7.48/7.49 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).
% 7.48/7.49 0 [] -c_member(T_a,V_a_2,c_Relation_ODomain(T_a,T_b,V_r_2))|c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,$f12(V_r_2,T_b,V_a_2,T_a)),V_r_2).
% 7.48/7.49 0 [] c_member(T_a,V_a_2,c_Relation_ODomain(T_a,T_b,V_r_2))| -c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,B_y),V_r_2).
% 7.48/7.49 0 [] -c_member(T_a,V_a_2,c_Relation_ORange(T_b,T_a,V_r_2))|c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,$f13(V_r_2,T_b,V_a_2,T_a),V_a_2),V_r_2).
% 7.48/7.49 0 [] c_member(T_a,V_a_2,c_Relation_ORange(T_b,T_a,V_r_2))| -c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,B_y,V_a_2),V_r_2).
% 7.48/7.49 0 [] V_a_2=V_b_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_a_2,V_b_2))|V_x_2!=V_y_2.
% 7.48/7.49 0 [] V_a_2=V_b_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_a_2,V_b_2))|V_x_2!=V_b_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_2,V_y_2),V_L_2).
% 7.48/7.49 0 [] V_a_2=V_b_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_a_2,V_b_2))|V_x_2=V_b_2|V_y_2!=V_b_2|V_x_2=V_a_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_a_2),V_L_2).
% 7.48/7.49 0 [] V_a_2=V_b_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_a_2,V_b_2))|V_x_2=V_b_2|V_y_2=V_b_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).
% 7.48/7.49 0 [] V_a_2=V_b_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_a_2,V_b_2))|V_x_2=V_y_2|V_x_2=V_b_2|V_y_2=V_b_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).
% 7.48/7.49 0 [] V_a_2=V_b_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_a_2,V_b_2))|V_x_2=V_y_2|V_x_2=V_b_2|V_x_2!=V_a_2|V_y_2!=V_b_2.
% 7.48/7.49 0 [] V_a_2=V_b_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_a_2,V_b_2))|V_x_2=V_y_2|V_x_2=V_b_2|V_x_2!=V_a_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).
% 7.48/7.49 0 [] V_a_2=V_b_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_a_2,V_b_2))|V_x_2=V_y_2|V_x_2=V_b_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_a_2),V_L_2)|V_y_2!=V_b_2.
% 7.48/7.49 0 [] V_a_2=V_b_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_a_2,V_b_2))|V_x_2=V_y_2|V_x_2=V_b_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_a_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).
% 7.48/7.49 0 [] V_a_2=V_b_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_a_2,V_b_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_a_2,V_y_2),V_L_2)|V_x_2!=V_b_2.
% 7.48/7.49 0 [] V_a_2=V_b_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_a_2,V_b_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_a_2,V_y_2),V_L_2)|V_y_2=V_b_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).
% 7.48/7.49 0 [] V_a_2=V_b_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_a_2,V_b_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_a_2,V_y_2),V_L_2)|V_x_2!=V_a_2|V_y_2!=V_b_2.
% 7.48/7.49 0 [] V_a_2=V_b_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_a_2,V_b_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_a_2,V_y_2),V_L_2)|V_x_2!=V_a_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).
% 7.48/7.49 0 [] V_a_2=V_b_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_a_2,V_b_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_a_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_a_2),V_L_2)|V_y_2!=V_b_2.
% 7.48/7.49 0 [] V_a_2=V_b_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_a_2,V_b_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_a_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_a_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).
% 7.48/7.49 0 [] V_a_2=V_b_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_a_2,V_b_2))|V_x_2!=V_y_2.
% 7.48/7.49 0 [] V_a_2=V_b_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_a_2,V_b_2))|V_y_2!=V_a_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_b_2),V_L_2).
% 7.48/7.49 0 [] V_a_2=V_b_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_a_2,V_b_2))|V_y_2=V_a_2|V_x_2!=V_a_2|V_y_2=V_b_2|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_b_2,V_y_2),V_L_2).
% 7.48/7.49 0 [] V_a_2=V_b_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_a_2,V_b_2))|V_y_2=V_a_2|V_x_2=V_a_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).
% 7.48/7.49 0 [] V_a_2=V_b_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_a_2,V_b_2))|V_x_2=V_y_2|V_y_2=V_a_2|V_x_2=V_a_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).
% 7.48/7.49 0 [] V_a_2=V_b_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_a_2,V_b_2))|V_x_2=V_y_2|V_y_2=V_a_2|V_y_2!=V_b_2|V_x_2!=V_a_2.
% 7.48/7.49 0 [] V_a_2=V_b_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_a_2,V_b_2))|V_x_2=V_y_2|V_y_2=V_a_2|V_y_2!=V_b_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).
% 7.48/7.49 0 [] V_a_2=V_b_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_a_2,V_b_2))|V_x_2=V_y_2|V_y_2=V_a_2| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_b_2,V_y_2),V_L_2)|V_x_2!=V_a_2.
% 7.48/7.49 0 [] V_a_2=V_b_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_a_2,V_b_2))|V_x_2=V_y_2|V_y_2=V_a_2| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_b_2,V_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).
% 7.48/7.49 0 [] V_a_2=V_b_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_a_2,V_b_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_b_2),V_L_2)|V_y_2!=V_a_2.
% 7.48/7.49 0 [] V_a_2=V_b_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_a_2,V_b_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_b_2),V_L_2)|V_x_2=V_a_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).
% 7.48/7.49 0 [] V_a_2=V_b_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_a_2,V_b_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_b_2),V_L_2)|V_y_2!=V_b_2|V_x_2!=V_a_2.
% 7.48/7.49 0 [] V_a_2=V_b_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_a_2,V_b_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_b_2),V_L_2)|V_y_2!=V_b_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).
% 7.48/7.49 0 [] V_a_2=V_b_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_a_2,V_b_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_b_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_b_2,V_y_2),V_L_2)|V_x_2!=V_a_2.
% 7.48/7.49 0 [] V_a_2=V_b_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_a_2,V_b_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_b_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_b_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).
% 7.48/7.49 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).
% 7.48/7.49 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).
% 7.48/7.49 0 [] -c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2),c_Product__Type_OPair(T_a,T_b,V_a_H_2,V_b_H_2)),c_Wellfounded_Olex__prod(T_a,T_b,V_r_2,V_s_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_a_H_2),V_r_2)|V_a_2=V_a_H_2.
% 7.48/7.49 0 [] -c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2),c_Product__Type_OPair(T_a,T_b,V_a_H_2,V_b_H_2)),c_Wellfounded_Olex__prod(T_a,T_b,V_r_2,V_s_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_a_H_2),V_r_2)|c_member(tc_prod(T_b,T_b),c_Product__Type_OPair(T_b,T_b,V_b_2,V_b_H_2),V_s_2).
% 7.48/7.49 0 [] c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2),c_Product__Type_OPair(T_a,T_b,V_a_H_2,V_b_H_2)),c_Wellfounded_Olex__prod(T_a,T_b,V_r_2,V_s_2))| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_a_H_2),V_r_2).
% 7.48/7.49 0 [] c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2),c_Product__Type_OPair(T_a,T_b,V_a_H_2,V_b_H_2)),c_Wellfounded_Olex__prod(T_a,T_b,V_r_2,V_s_2))|V_a_2!=V_a_H_2| -c_member(tc_prod(T_b,T_b),c_Product__Type_OPair(T_b,T_b,V_b_2,V_b_H_2),V_s_2).
% 7.48/7.49 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,$f14(V_A_2,V_c_2,T_a),V_A_2).
% 7.48/7.49 0 [] -c_member(tc_prod(T_a,T_a),V_c_2,c_Relation_OId__on(T_a,V_A_2))|V_c_2=c_Product__Type_OPair(T_a,T_a,$f14(V_A_2,V_c_2,T_a),$f14(V_A_2,V_c_2,T_a)).
% 7.48/7.49 0 [] -c_member(T_a,V_b_2,c_Relation_ORange(T_b,T_a,V_r_2))|c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,$f15(V_r_2,T_b,V_b_2,T_a),V_b_2),V_r_2).
% 7.48/7.49 0 [] -c_member(T_a,V_a_2,c_Relation_ODomain(T_a,T_b,V_r_2))|c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,$f16(V_r_2,T_b,V_a_2,T_a)),V_r_2).
% 7.48/7.49 0 [] -c_Relation_Orefl__on(T_a,V_A_2,V_r_2)| -c_member(T_a,V_a_2,V_A_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_a_2),V_r_2).
% 7.48/7.49 0 [] -c_Relation_Orefl__on(T_a,V_A_2,V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),V_r_2)|c_member(T_a,V_x_2,V_A_2).
% 7.48/7.49 0 [] -c_Relation_Otrans(T_a,V_R1_2)| -c_Relation_Otrans(T_b,V_R2_2)|c_Relation_Otrans(tc_prod(T_a,T_b),c_Wellfounded_Olex__prod(T_a,T_b,V_R1_2,V_R2_2)).
% 7.48/7.49 0 [] c_Relation_Orefl__on(T_a,V_A_2,c_Relation_OId__on(T_a,V_A_2)).
% 7.48/7.49 0 [] -c_Relation_Orefl__on(T_a,V_A_2,V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),V_r_2)|c_member(T_a,V_y_2,V_A_2).
% 7.48/7.49 0 [] -c_Order__Relation_Opreorder__on(T_a,V_A_2,V_r_2)|c_Relation_Orefl__on(T_a,V_A_2,V_r_2).
% 7.48/7.49 0 [] -c_Order__Relation_Opreorder__on(T_a,V_A_2,V_r_2)|c_Relation_Otrans(T_a,V_r_2).
% 7.48/7.49 0 [] c_Order__Relation_Opreorder__on(T_a,V_A_2,V_r_2)| -c_Relation_Orefl__on(T_a,V_A_2,V_r_2)| -c_Relation_Otrans(T_a,V_r_2).
% 7.48/7.49 0 [] -c_member(T_a,V_b_2,c_Wellfounded_Oacc(T_a,V_r_2))| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),V_r_2)|c_member(T_a,V_a_2,c_Wellfounded_Oacc(T_a,V_r_2)).
% 7.48/7.49 0 [] -c_member(T_a,V_a_2,c_Wellfounded_Oacc(T_a,V_r_2))| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,V_a_2),V_r_2)|c_member(T_a,B_x,c_Wellfounded_Oacc(T_a,V_r_2)).
% 7.48/7.49 0 [] c_member(T_a,V_a_2,c_Wellfounded_Oacc(T_a,V_r_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f17(V_r_2,V_a_2,T_a),V_a_2),V_r_2).
% 7.48/7.49 0 [] c_member(T_a,V_a_2,c_Wellfounded_Oacc(T_a,V_r_2))| -c_member(T_a,$f17(V_r_2,V_a_2,T_a),c_Wellfounded_Oacc(T_a,V_r_2)).
% 7.48/7.49 0 [] -c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,V_a1_2,hAPP(hAPP(V_Fa_2,V_a2_2),V_a1_2))|hAPP(hAPP(V_Fa_2,V_a2_2),V_a1_2)=hAPP(hAPP(V_Fa_2,$f18(V_a2_2,V_a1_2,V_Fa_2,V_R_2,T_b,T_a)),V_a1_2).
% 7.48/7.49 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($f18(V_a2_2,V_a1_2,V_Fa_2,V_R_2,T_b,T_a),B_z)).
% 7.48/7.49 0 [] c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,V_a1_2,hAPP(hAPP(V_Fa_2,V_a2_2),V_a1_2))|hAPP(hAPP(V_Fa_2,V_a2_2),V_a1_2)!=hAPP(hAPP(V_Fa_2,B_g),V_a1_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f19(V_a2_2,V_a1_2,V_Fa_2,V_R_2,T_b,T_a,B_g),V_a1_2),V_R_2).
% 7.48/7.49 0 [] c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,V_a1_2,hAPP(hAPP(V_Fa_2,V_a2_2),V_a1_2))|hAPP(hAPP(V_Fa_2,V_a2_2),V_a1_2)!=hAPP(hAPP(V_Fa_2,B_g),V_a1_2)| -c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,$f19(V_a2_2,V_a1_2,V_Fa_2,V_R_2,T_b,T_a,B_g),hAPP(B_g,$f19(V_a2_2,V_a1_2,V_Fa_2,V_R_2,T_b,T_a,B_g))).
% 7.48/7.49 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.
% 7.48/7.49 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.
% 7.48/7.49 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,$f22(V_r_2,T_b,T_a),$f21(V_r_2,T_b,T_a)),V_r_2).
% 7.48/7.49 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,$f22(V_r_2,T_b,T_a),$f20(V_r_2,T_b,T_a)),V_r_2).
% 7.48/7.49 0 [] c_Relation_Osingle__valued(T_a,T_b,V_r_2)|$f21(V_r_2,T_b,T_a)!=$f20(V_r_2,T_b,T_a).
% 7.48/7.49 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_a_2),V_r_2)|hAPP(c_Recdef_Ocut(T_a,T_b,V_f_2,V_r_2,V_a_2),V_x_2)=hAPP(V_f_2,V_x_2).
% 7.48/7.49 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).
% 7.48/7.49 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,$f23(V_g_2,V_x_2,V_r_2,V_f_2,T_b,T_a),V_x_2),V_r_2).
% 7.48/7.49 0 [] c_Recdef_Ocut(T_a,T_b,V_f_2,V_r_2,V_x_2)=c_Recdef_Ocut(T_a,T_b,V_g_2,V_r_2,V_x_2)|hAPP(V_f_2,$f23(V_g_2,V_x_2,V_r_2,V_f_2,T_b,T_a))!=hAPP(V_g_2,$f23(V_g_2,V_x_2,V_r_2,V_f_2,T_b,T_a)).
% 7.48/7.49 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_a_2),B_R)|hAPP(c_Recdef_Ocut(T_a,T_b,B_f,B_R,V_a_2),V_x_2)=hAPP(B_f,V_x_2).
% 7.48/7.49 0 [] c_Relation_Osingle__valued(T_a,T_a,c_Relation_OId__on(T_a,V_A_2)).
% 7.48/7.49 0 [] c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f24(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)).
% 7.48/7.49 0 [] -c_member(T_a,$f24(V_r_2,V_x_2,T_a),c_Wellfounded_Oacc(T_a,V_r_2))|c_member(T_a,V_x_2,c_Wellfounded_Oacc(T_a,V_r_2)).
% 7.48/7.49 0 [] c_member(T_a,V_x_2,c_Wellfounded_Oacc(T_a,V_R_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f25(V_R_2,V_x_2,T_a),V_x_2),V_R_2).
% 7.48/7.49 0 [] c_member(T_a,V_x_2,c_Wellfounded_Oacc(T_a,V_R_2))| -c_member(T_a,$f25(V_R_2,V_x_2,T_a),c_Wellfounded_Oacc(T_a,V_R_2)).
% 7.48/7.49 0 [] -c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,V_a1_2,V_a2_2)|V_a2_2=hAPP(hAPP(V_Fa_2,$f26(V_a2_2,V_a1_2,V_Fa_2,V_R_2,T_b,T_a)),V_a1_2).
% 7.48/7.49 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($f26(V_a2_2,V_a1_2,V_Fa_2,V_R_2,T_b,T_a),B_z)).
% 7.48/7.49 0 [] c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,V_a1_2,V_a2_2)|V_a2_2!=hAPP(hAPP(V_Fa_2,B_g),V_a1_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f27(V_a2_2,V_a1_2,V_Fa_2,V_R_2,T_b,T_a,B_g),V_a1_2),V_R_2).
% 7.48/7.49 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,$f27(V_a2_2,V_a1_2,V_Fa_2,V_R_2,T_b,T_a,B_g),hAPP(B_g,$f27(V_a2_2,V_a1_2,V_Fa_2,V_R_2,T_b,T_a,B_g))).
% 7.48/7.49 0 [] c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f28(V_g_2,V_Fa_2,T_b,V_R_2,V_x_2,T_a),V_x_2),V_R_2)|c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,V_x_2,hAPP(hAPP(V_Fa_2,V_g_2),V_x_2)).
% 7.48/7.49 0 [] -c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,$f28(V_g_2,V_Fa_2,T_b,V_R_2,V_x_2,T_a),hAPP(V_g_2,$f28(V_g_2,V_Fa_2,T_b,V_R_2,V_x_2,T_a)))|c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,V_x_2,hAPP(hAPP(V_Fa_2,V_g_2),V_x_2)).
% 7.48/7.49 0 [] c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,$f31(V_r_2,T_b,T_a),$f30(V_r_2,T_b,T_a)),V_r_2)|c_Relation_Osingle__valued(T_a,T_b,V_r_2).
% 7.48/7.49 0 [] c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,$f31(V_r_2,T_b,T_a),$f29(V_r_2,T_b,T_a)),V_r_2)|c_Relation_Osingle__valued(T_a,T_b,V_r_2).
% 7.48/7.49 0 [] $f30(V_r_2,T_b,T_a)!=$f29(V_r_2,T_b,T_a)|c_Relation_Osingle__valued(T_a,T_b,V_r_2).
% 7.48/7.49 0 [] -c_member(T_a,V_a_2,c_Wellfounded_Oacc(T_a,V_r_2))| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_b_2,V_a_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))|c_member(T_a,V_b_2,c_Wellfounded_Oacc(T_a,V_r_2)).
% 7.48/7.49 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_b_2,V_a_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))| -c_member(T_a,V_a_2,c_Wellfounded_Oacc(T_a,V_r_2))|c_member(T_a,V_b_2,c_Wellfounded_Oacc(T_a,V_r_2)).
% 7.48/7.49 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).
% 7.48/7.49 0 [] c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_a_2),c_Relation_OId(T_a)).
% 7.48/7.49 0 [] c_Relation_Otrans(T_a,c_Relation_OId(T_a)).
% 7.48/7.49 0 [] c_Relation_Osingle__valued(T_a,T_a,c_Relation_OId(T_a)).
% 7.48/7.49 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Relation_OId(T_a))|V_a_2=V_b_2.
% 7.48/7.49 0 [] c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Relation_OId(T_a))|V_a_2!=V_b_2.
% 7.48/7.49 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)).
% 7.48/7.49 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)).
% 7.48/7.50 0 [] c_Relation_Orefl__on(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),c_Relation_OId(T_a)).
% 7.48/7.50 0 [] c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_a_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 7.48/7.50 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)).
% 7.48/7.50 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.
% 7.48/7.50 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.
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_b_2,V_c_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_c_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 7.48/7.50 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_b_2,V_c_2),V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_c_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 7.48/7.50 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).
% 7.48/7.50 0 [] c_Relation_Otrans(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 7.48/7.50 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_b_2,V_c_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_c_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 7.48/7.50 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,$f32(V_p_2,T_a),$f32(V_p_2,T_a)).
% 7.48/7.50 0 [] -c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_ax_2,V_ay_2),c_Product__Type_OPair(T_a,T_b,V_bx_2,V_by_2)),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2))| -hBOOL(hAPP(hAPP(V_P_2,V_ax_2),V_ay_2))|c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_ax_2,V_ay_2),c_Product__Type_OPair(T_a,T_b,$f36(V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a),$f35(V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a))),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2))|hBOOL(hAPP(hAPP(V_P_2,V_bx_2),V_by_2)).
% 7.48/7.50 0 [] -c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_ax_2,V_ay_2),c_Product__Type_OPair(T_a,T_b,V_bx_2,V_by_2)),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2))| -hBOOL(hAPP(hAPP(V_P_2,V_ax_2),V_ay_2))|c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,$f36(V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a),$f35(V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a)),c_Product__Type_OPair(T_a,T_b,$f34(V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a),$f33(V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a))),V_r_2)|hBOOL(hAPP(hAPP(V_P_2,V_bx_2),V_by_2)).
% 7.48/7.50 0 [] -c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_ax_2,V_ay_2),c_Product__Type_OPair(T_a,T_b,V_bx_2,V_by_2)),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2))| -hBOOL(hAPP(hAPP(V_P_2,V_ax_2),V_ay_2))|hBOOL(hAPP(hAPP(V_P_2,$f36(V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a)),$f35(V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a)))|hBOOL(hAPP(hAPP(V_P_2,V_bx_2),V_by_2)).
% 7.48/7.50 0 [] -c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_ax_2,V_ay_2),c_Product__Type_OPair(T_a,T_b,V_bx_2,V_by_2)),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2))| -hBOOL(hAPP(hAPP(V_P_2,V_ax_2),V_ay_2))| -hBOOL(hAPP(hAPP(V_P_2,$f34(V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a)),$f33(V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a)))|hBOOL(hAPP(hAPP(V_P_2,V_bx_2),V_by_2)).
% 7.48/7.50 0 [] -c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_ax_2,V_ay_2),c_Product__Type_OPair(T_a,T_b,V_bx_2,V_by_2)),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2))| -hBOOL(hAPP(hAPP(V_P_2,V_bx_2),V_by_2))|c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,$f40(V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a),$f39(V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a)),c_Product__Type_OPair(T_a,T_b,$f38(V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a),$f37(V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a))),V_r_2)|hBOOL(hAPP(hAPP(V_P_2,V_ax_2),V_ay_2)).
% 7.48/7.50 0 [] -c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_ax_2,V_ay_2),c_Product__Type_OPair(T_a,T_b,V_bx_2,V_by_2)),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2))| -hBOOL(hAPP(hAPP(V_P_2,V_bx_2),V_by_2))|c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,$f38(V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a),$f37(V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a)),c_Product__Type_OPair(T_a,T_b,V_bx_2,V_by_2)),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2))|hBOOL(hAPP(hAPP(V_P_2,V_ax_2),V_ay_2)).
% 7.48/7.50 0 [] -c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_ax_2,V_ay_2),c_Product__Type_OPair(T_a,T_b,V_bx_2,V_by_2)),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2))| -hBOOL(hAPP(hAPP(V_P_2,V_bx_2),V_by_2))|hBOOL(hAPP(hAPP(V_P_2,$f38(V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a)),$f37(V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a)))|hBOOL(hAPP(hAPP(V_P_2,V_ax_2),V_ay_2)).
% 7.48/7.50 0 [] -c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_ax_2,V_ay_2),c_Product__Type_OPair(T_a,T_b,V_bx_2,V_by_2)),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2))| -hBOOL(hAPP(hAPP(V_P_2,V_bx_2),V_by_2))| -hBOOL(hAPP(hAPP(V_P_2,$f40(V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a)),$f39(V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a)))|hBOOL(hAPP(hAPP(V_P_2,V_ax_2),V_ay_2)).
% 7.48/7.50 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).
% 7.48/7.50 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)).
% 7.48/7.50 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))| -hBOOL(hAPP(V_P_2,V_a_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,$f44(V_P_2,V_r_2,V_b_2,V_a_2,T_a)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))|hBOOL(hAPP(V_P_2,V_b_2)).
% 7.48/7.50 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))| -hBOOL(hAPP(V_P_2,V_a_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f44(V_P_2,V_r_2,V_b_2,V_a_2,T_a),$f43(V_P_2,V_r_2,V_b_2,V_a_2,T_a)),V_r_2)|hBOOL(hAPP(V_P_2,V_b_2)).
% 7.48/7.50 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))| -hBOOL(hAPP(V_P_2,V_a_2))|hBOOL(hAPP(V_P_2,$f44(V_P_2,V_r_2,V_b_2,V_a_2,T_a)))|hBOOL(hAPP(V_P_2,V_b_2)).
% 7.48/7.50 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))| -hBOOL(hAPP(V_P_2,V_a_2))| -hBOOL(hAPP(V_P_2,$f43(V_P_2,V_r_2,V_b_2,V_a_2,T_a)))|hBOOL(hAPP(V_P_2,V_b_2)).
% 7.48/7.50 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))| -hBOOL(hAPP(V_P_2,V_b_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f46(V_P_2,V_r_2,V_b_2,V_a_2,T_a),$f45(V_P_2,V_r_2,V_b_2,V_a_2,T_a)),V_r_2)|hBOOL(hAPP(V_P_2,V_a_2)).
% 7.48/7.50 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))| -hBOOL(hAPP(V_P_2,V_b_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f45(V_P_2,V_r_2,V_b_2,V_a_2,T_a),V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))|hBOOL(hAPP(V_P_2,V_a_2)).
% 7.48/7.50 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))| -hBOOL(hAPP(V_P_2,V_b_2))|hBOOL(hAPP(V_P_2,$f45(V_P_2,V_r_2,V_b_2,V_a_2,T_a)))|hBOOL(hAPP(V_P_2,V_a_2)).
% 7.48/7.50 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))| -hBOOL(hAPP(V_P_2,V_b_2))| -hBOOL(hAPP(V_P_2,$f46(V_P_2,V_r_2,V_b_2,V_a_2,T_a)))|hBOOL(hAPP(V_P_2,V_a_2)).
% 7.48/7.50 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,$f47(V_r_2,V_z_2,V_x_2,T_a)),V_r_2).
% 7.48/7.50 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_z_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))|V_x_2=V_z_2|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f47(V_r_2,V_z_2,V_x_2,T_a),V_z_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 7.48/7.50 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))|V_a_2=V_b_2|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,$f48(V_r_2,V_b_2,V_a_2,T_a)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 7.48/7.50 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))|V_a_2=V_b_2|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f48(V_r_2,V_b_2,V_a_2,T_a),V_b_2),V_r_2).
% 7.48/7.50 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 7.48/7.50 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))).
% 7.48/7.50 0 [] c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),$c1,c_Arrow__Order__Mirabelle_OLin).
% 7.48/7.50 0 [] c_Product__Type_OPair(T_a,T_b,V_a,V_b)!=c_Product__Type_OPair(T_a,T_b,V_a_H,V_b_H)|V_a=V_a_H.
% 7.48/7.50 0 [] c_Product__Type_OPair(T_a,T_b,V_a,V_b)!=c_Product__Type_OPair(T_a,T_b,V_a_H,V_b_H)|V_b=V_b_H.
% 7.48/7.50 0 [] c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2)!=c_Product__Type_OPair(T_a,T_b,V_a_H_2,V_b_H_2)|V_a_2=V_a_H_2.
% 7.48/7.50 0 [] c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2)!=c_Product__Type_OPair(T_a,T_b,V_a_H_2,V_b_H_2)|V_b_2=V_b_H_2.
% 7.48/7.50 0 [] c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2)=c_Product__Type_OPair(T_a,T_b,V_a_H_2,V_b_H_2)|V_a_2!=V_a_H_2|V_b_2!=V_b_H_2.
% 7.48/7.50 0 [] -hBOOL(hAPP(V_P_2,$f49(T_b,T_a,V_P_2)))|hBOOL(hAPP(V_P_2,c_Product__Type_OPair(T_a,T_b,B_a,B_b))).
% 7.48/7.50 0 [] hBOOL(hAPP(V_P_2,B_x1))| -hBOOL(hAPP(V_P_2,c_Product__Type_OPair(T_a,T_b,$f51(T_b,T_a,V_P_2),$f50(T_b,T_a,V_P_2)))).
% 7.48/7.50 0 [] -c_Relation_Oantisym(T_a,V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_b_2,V_a_2),V_r_2)|V_a_2=V_b_2.
% 7.48/7.50 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.
% 7.48/7.50 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,$f53(V_r_2,T_a),$f52(V_r_2,T_a)),V_r_2).
% 7.48/7.50 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,$f52(V_r_2,T_a),$f53(V_r_2,T_a)),V_r_2).
% 7.48/7.50 0 [] c_Relation_Oantisym(T_a,V_r_2)|$f53(V_r_2,T_a)!=$f52(V_r_2,T_a).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 0 [] c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_A_2)=V_A_2.
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 0 [] -c_member(T_a,B_x,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))| -hBOOL(hAPP(V_P_2,B_x))|c_member(T_a,$f54(V_P_2,V_B_2,V_A_2,T_a),V_A_2)|c_member(T_a,$f55(V_P_2,V_B_2,V_A_2,T_a),V_B_2).
% 7.48/7.50 0 [] -c_member(T_a,B_x,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))| -hBOOL(hAPP(V_P_2,B_x))|c_member(T_a,$f54(V_P_2,V_B_2,V_A_2,T_a),V_A_2)|hBOOL(hAPP(V_P_2,$f55(V_P_2,V_B_2,V_A_2,T_a))).
% 7.48/7.50 0 [] -c_member(T_a,B_x,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))| -hBOOL(hAPP(V_P_2,B_x))|hBOOL(hAPP(V_P_2,$f54(V_P_2,V_B_2,V_A_2,T_a)))|c_member(T_a,$f55(V_P_2,V_B_2,V_A_2,T_a),V_B_2).
% 7.48/7.50 0 [] -c_member(T_a,B_x,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))| -hBOOL(hAPP(V_P_2,B_x))|hBOOL(hAPP(V_P_2,$f54(V_P_2,V_B_2,V_A_2,T_a)))|hBOOL(hAPP(V_P_2,$f55(V_P_2,V_B_2,V_A_2,T_a))).
% 7.48/7.50 0 [] c_member(T_a,$f56(V_P_2,V_B_2,V_A_2,T_a),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))| -c_member(T_a,X1,V_A_2)| -hBOOL(hAPP(V_P_2,X1)).
% 7.48/7.50 0 [] c_member(T_a,$f56(V_P_2,V_B_2,V_A_2,T_a),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))| -c_member(T_a,X2,V_B_2)| -hBOOL(hAPP(V_P_2,X2)).
% 7.48/7.50 0 [] hBOOL(hAPP(V_P_2,$f56(V_P_2,V_B_2,V_A_2,T_a)))| -c_member(T_a,X1,V_A_2)| -hBOOL(hAPP(V_P_2,X1)).
% 7.48/7.50 0 [] hBOOL(hAPP(V_P_2,$f56(V_P_2,V_B_2,V_A_2,T_a)))| -c_member(T_a,X2,V_B_2)| -hBOOL(hAPP(V_P_2,X2)).
% 7.48/7.50 0 [] c_member(T_a,$f57(V_P_2,V_B_2,V_A_2,T_a),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))| -c_member(T_a,B_x,V_A_2)|hBOOL(hAPP(V_P_2,B_x)).
% 7.48/7.50 0 [] c_member(T_a,$f57(V_P_2,V_B_2,V_A_2,T_a),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))| -c_member(T_a,X3,V_B_2)|hBOOL(hAPP(V_P_2,X3)).
% 7.48/7.50 0 [] -hBOOL(hAPP(V_P_2,$f57(V_P_2,V_B_2,V_A_2,T_a)))| -c_member(T_a,B_x,V_A_2)|hBOOL(hAPP(V_P_2,B_x)).
% 7.48/7.50 0 [] -hBOOL(hAPP(V_P_2,$f57(V_P_2,V_B_2,V_A_2,T_a)))| -c_member(T_a,X3,V_B_2)|hBOOL(hAPP(V_P_2,X3)).
% 7.48/7.50 0 [] -c_member(T_a,X4,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))|hBOOL(hAPP(V_P_2,X4))|c_member(T_a,$f58(V_P_2,V_B_2,V_A_2,T_a),V_A_2)|c_member(T_a,$f59(V_P_2,V_B_2,V_A_2,T_a),V_B_2).
% 7.48/7.50 0 [] -c_member(T_a,X4,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))|hBOOL(hAPP(V_P_2,X4))|c_member(T_a,$f58(V_P_2,V_B_2,V_A_2,T_a),V_A_2)| -hBOOL(hAPP(V_P_2,$f59(V_P_2,V_B_2,V_A_2,T_a))).
% 7.48/7.50 0 [] -c_member(T_a,X4,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))|hBOOL(hAPP(V_P_2,X4))| -hBOOL(hAPP(V_P_2,$f58(V_P_2,V_B_2,V_A_2,T_a)))|c_member(T_a,$f59(V_P_2,V_B_2,V_A_2,T_a),V_B_2).
% 7.48/7.50 0 [] -c_member(T_a,X4,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))|hBOOL(hAPP(V_P_2,X4))| -hBOOL(hAPP(V_P_2,$f58(V_P_2,V_B_2,V_A_2,T_a)))| -hBOOL(hAPP(V_P_2,$f59(V_P_2,V_B_2,V_A_2,T_a))).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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)).
% 7.48/7.50 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).
% 7.48/7.50 0 [] c_Relation_Otrans(T_a,c_Transitive__Closure_Otrancl(T_a,V_r_2)).
% 7.48/7.50 0 [] -c_Relation_Otrans(T_a,V_r_2)|c_Transitive__Closure_Otrancl(T_a,V_r_2)=V_r_2.
% 7.48/7.50 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).
% 7.48/7.50 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),V_R_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_b_2,V_c_2),V_R_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_c_2),c_Transitive__Closure_Otrancl(T_a,V_R_2)).
% 7.48/7.50 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_b_2,V_c_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_c_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)).
% 7.48/7.50 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_b_2,V_c_2),V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_c_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)).
% 7.48/7.50 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_b_2,V_c_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_c_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)).
% 7.48/7.50 0 [] c_Relation_Oantisym(T_a,c_Relation_OId(T_a)).
% 7.48/7.50 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))).
% 7.48/7.50 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))).
% 7.48/7.50 0 [] c_Relation_Oantisym(T_a,c_Relation_OId__on(T_a,V_A_2)).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 0 [] -c_Relation_Otrans(T_a,V_r_2)|c_Relation_Otrans(T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,c_Relation_OId(T_a))).
% 7.48/7.50 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)).
% 7.48/7.50 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.
% 7.48/7.50 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)).
% 7.48/7.50 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_b_2,V_c_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_c_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)).
% 7.48/7.50 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2))|V_a_2=V_b_2|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Otrancl(T_a,V_R_2)).
% 7.48/7.50 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_b_2,V_c_2),V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_c_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)).
% 7.48/7.50 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_b_2,V_c_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_c_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)).
% 7.48/7.50 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)).
% 7.48/7.50 0 [] c_Product__Type_Oprod_Oprod__rec(T_b,T_c,T_a,V_f1_2,c_Product__Type_OPair(T_b,T_c,V_a_2,V_b_2))=hAPP(hAPP(V_f1_2,V_a_2),V_b_2).
% 7.48/7.50 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)).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 0 [] -c_Order__Relation_Opartial__order__on(T_a,V_A_2,V_r_2)|c_Relation_Oantisym(T_a,V_r_2).
% 7.48/7.50 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).
% 7.48/7.50 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_P_2,V_Q_2)))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f61(V_Q_2,V_P_2,V_b_2,V_a_2,T_a),V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_P_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_P_2)).
% 7.48/7.50 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_P_2,V_Q_2)))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f60(V_Q_2,V_P_2,V_b_2,V_a_2,T_a),$f61(V_Q_2,V_P_2,V_b_2,V_a_2,T_a)),V_Q_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_P_2)).
% 7.48/7.50 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_P_2,V_Q_2)))|$f60(V_Q_2,V_P_2,V_b_2,V_a_2,T_a)!=$f61(V_Q_2,V_P_2,V_b_2,V_a_2,T_a)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_P_2)).
% 7.48/7.50 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_P_2,V_Q_2)))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,$f63(V_Q_2,V_P_2,V_b_2,V_a_2,T_a)),c_Transitive__Closure_Ortrancl(T_a,V_P_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_P_2)).
% 7.48/7.50 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_P_2,V_Q_2)))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f63(V_Q_2,V_P_2,V_b_2,V_a_2,T_a),$f62(V_Q_2,V_P_2,V_b_2,V_a_2,T_a)),V_Q_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_P_2)).
% 7.48/7.50 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_P_2,V_Q_2)))|$f63(V_Q_2,V_P_2,V_b_2,V_a_2,T_a)!=$f62(V_Q_2,V_P_2,V_b_2,V_a_2,T_a)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_P_2)).
% 7.48/7.50 0 [] -class_Lattices_Osemilattice__sup(T_a)|c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,V_a)=V_a.
% 7.48/7.50 0 [] -class_Lattices_Osemilattice__sup(T_a)|c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_x)=V_x.
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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,$f64(V_R_2,V_y_2,V_x_2,T_a)),V_R_2).
% 7.48/7.50 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Otrancl(T_a,V_R_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f64(V_R_2,V_y_2,V_x_2,T_a),V_y_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2)).
% 7.48/7.50 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,$f65(V_R_2,V_y_2,V_x_2,T_a)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)).
% 7.48/7.50 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Otrancl(T_a,V_R_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f65(V_R_2,V_y_2,V_x_2,T_a),V_y_2),V_R_2).
% 7.48/7.50 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)).
% 7.48/7.50 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,$f66(V_r_2,T_a),$f66(V_r_2,T_a)),c_Transitive__Closure_Otrancl(T_a,V_r_2)).
% 7.48/7.50 0 [] c_Product__Type_Ointernal__split(T_b,T_c,T_a,V_c_2,c_Product__Type_OPair(T_b,T_c,V_a_2,V_b_2))=hAPP(hAPP(V_c_2,V_a_2),V_b_2).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 0 [] $f68(V_r_2,T_a)!=$f67(V_r_2,T_a)|c_Relation_Oantisym(T_a,V_r_2).
% 7.48/7.50 0 [] -c_Wellfounded_Oacyclic(T_a,V_r_2)|c_Relation_Oantisym(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 7.48/7.50 0 [] c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f69(V_r_2,T_a),$f69(V_r_2,T_a)),c_Transitive__Closure_Otrancl(T_a,V_r_2))|c_Wellfounded_Oacyclic(T_a,V_r_2).
% 7.48/7.50 0 [] -c_Order__Relation_Olinear__order__on(T_a,V_A_2,V_r_2)|c_Order__Relation_Ostrict__linear__order__on(T_a,V_A_2,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,c_Relation_OId(T_a))).
% 7.48/7.50 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).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 0 [] c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f70(V_y_2,V_x_2,V_r_2,T_a),$f70(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.
% 7.48/7.50 0 [] -c_member(T_a,V_a_2,V_B_2)|c_member(T_a,V_a_2,c_Set_Oinsert(T_a,V_b_2,V_B_2)).
% 7.48/7.50 0 [] V_a_2!=V_b_2|c_member(T_a,V_a_2,c_Set_Oinsert(T_a,V_b_2,V_B_2)).
% 7.48/7.50 0 [] -c_member(T_a,V_a_2,c_Set_Oinsert(T_a,V_b_2,V_A_2))|V_a_2=V_b_2|c_member(T_a,V_a_2,V_A_2).
% 7.48/7.50 0 [] -c_member(T_a,V_c_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))|c_member(T_a,V_c_2,V_A_2).
% 7.48/7.50 0 [] -c_member(T_a,V_c_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))| -c_member(T_a,V_c_2,V_B_2).
% 7.48/7.50 0 [] -c_member(T_a,V_c_2,V_A_2)|c_member(T_a,V_c_2,V_B_2)|c_member(T_a,V_c_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)).
% 7.48/7.50 0 [] c_Relation_ODomain(T_a,T_b,c_Set_Oinsert(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2),V_r_2))=c_Set_Oinsert(T_a,V_a_2,c_Relation_ODomain(T_a,T_b,V_r_2)).
% 7.48/7.50 0 [] c_Relation_ORange(T_b,T_a,c_Set_Oinsert(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,V_a_2,V_b_2),V_r_2))=c_Set_Oinsert(T_a,V_b_2,c_Relation_ORange(T_b,T_a,V_r_2)).
% 7.48/7.50 0 [] -c_member(T_a,V_c_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))|c_member(T_a,V_c_2,V_A_2).
% 7.48/7.50 0 [] -c_member(T_a,V_c_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))| -c_member(T_a,V_c_2,V_B_2).
% 7.48/7.50 0 [] c_member(T_a,V_c_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))| -c_member(T_a,V_c_2,V_A_2)|c_member(T_a,V_c_2,V_B_2).
% 7.48/7.50 0 [] -c_member(T_a,V_c_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))|c_member(T_a,V_c_2,V_A_2).
% 7.48/7.50 0 [] -c_member(T_a,V_c_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))| -c_member(T_a,V_c_2,V_B_2).
% 7.48/7.50 0 [] c_member(T_a,V_a_2,c_Set_Oinsert(T_a,V_a_2,V_B_2)).
% 7.48/7.50 0 [] -c_member(T_a,V_a_2,c_Set_Oinsert(T_a,V_b_2,V_A_2))|V_a_2=V_b_2|c_member(T_a,V_a_2,V_A_2).
% 7.48/7.50 0 [] c_member(T_a,V_a_2,c_Set_Oinsert(T_a,V_b_2,V_A_2))|V_a_2!=V_b_2.
% 7.48/7.50 0 [] c_member(T_a,V_a_2,c_Set_Oinsert(T_a,V_b_2,V_A_2))| -c_member(T_a,V_a_2,V_A_2).
% 7.48/7.50 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.
% 7.48/7.50 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.
% 7.48/7.50 0 [] -c_member(T_a,V_a_2,V_B_2)|c_member(T_a,V_a_2,c_Set_Oinsert(T_a,V_b_2,V_B_2)).
% 7.48/7.50 0 [] -c_member(T_a,V_a_2,V_A_2)|c_Set_Oinsert(T_a,V_a_2,V_A_2)=V_A_2.
% 7.48/7.50 0 [] -c_member(T_a,V_x_2,V_B_2)|c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_x_2,V_A_2),V_B_2)=c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2).
% 7.48/7.50 0 [] -c_member(T_a,V_x_2,V_B_2)|c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_x_2,V_A_2),V_B_2)=c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2).
% 7.48/7.50 0 [] c_member(T_a,V_x_2,V_B_2)|c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_x_2,V_A_2),V_B_2)=c_Set_Oinsert(T_a,V_x_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)).
% 7.48/7.50 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)).
% 7.48/7.50 0 [] hBOOL(hAPP(c_Set_Oinsert(T_a,V_y_2,V_A_2),V_x_2))|V_y_2!=V_x_2.
% 7.48/7.50 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)).
% 7.48/7.50 0 [] c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_B_2)=c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2).
% 7.48/7.50 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)).
% 7.48/7.50 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).
% 7.48/7.50 0 [] -class_Groups_Ominus(T_a)|hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,T_a),V_A_2,V_B_2),V_x_2)=c_Groups_Ominus__class_Ominus(T_a,hAPP(V_A_2,V_x_2),hAPP(V_B_2,V_x_2)).
% 7.48/7.50 0 [] c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_C_2)=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)).
% 7.48/7.50 0 [] c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2),V_A_2)=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2).
% 7.48/7.50 0 [] c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2))=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2).
% 7.48/7.50 0 [] c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_a_2,V_B_2),V_C_2)=c_Set_Oinsert(T_a,V_a_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)).
% 7.48/7.50 0 [] c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_a_2,V_B_2))=c_Set_Oinsert(T_a,V_a_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)).
% 7.48/7.50 0 [] c_Transitive__Closure_Ortrancl(T_a,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,c_Relation_OId(T_a)))=c_Transitive__Closure_Ortrancl(T_a,V_r_2).
% 7.48/7.50 0 [] -c_Relation_Ototal__on(T_a,V_A_2,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,c_Relation_OId(T_a)))|c_Relation_Ototal__on(T_a,V_A_2,V_r_2).
% 7.48/7.50 0 [] c_Relation_Ototal__on(T_a,V_A_2,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,c_Relation_OId(T_a)))| -c_Relation_Ototal__on(T_a,V_A_2,V_r_2).
% 7.48/7.50 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)).
% 7.48/7.50 0 [] c_Relation_Oirrefl(T_a,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,c_Relation_OId(T_a))).
% 7.48/7.50 0 [] -c_Relation_Otrans(T_a,V_r_2)| -c_Relation_Oantisym(T_a,V_r_2)|c_Relation_Otrans(T_a,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,c_Relation_OId(T_a))).
% 7.48/7.50 0 [] c_Relation_OField(T_a,c_Set_Oinsert(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),V_r_2))=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_a_2,c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),c_Relation_OField(T_a,V_r_2)).
% 7.48/7.50 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).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,$f71(V_r_2,V_b_2,V_a_2,T_a)),c_Transitive__Closure_Otrancl(T_a,V_r_2)).
% 7.48/7.50 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f71(V_r_2,V_b_2,V_a_2,T_a),V_b_2),V_r_2).
% 7.48/7.50 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,$f72(V_r_2,V_z_2,V_x_2,T_a)),V_r_2).
% 7.48/7.50 0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_z_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_z_2),V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f72(V_r_2,V_z_2,V_x_2,T_a),V_z_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)).
% 7.48/7.50 0 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Relation_ORange(T_b,T_a,V_A_2),c_Relation_ORange(T_b,T_a,V_B_2)),c_Relation_ORange(T_b,T_a,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),V_A_2,V_B_2))).
% 7.48/7.50 0 [] -class_Orderings_Opreorder(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_x).
% 7.48/7.50 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.
% 7.48/7.50 0 [] c_Wellfounded_Owf(T_a,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))).
% 7.48/7.50 0 [] -c_member(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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))).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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))).
% 7.48/7.50 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))).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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))).
% 7.48/7.50 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).
% 7.48/7.50 0 [] -class_Orderings_Obot(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,c_Orderings_Obot__class_Obot(T_a),V_x).
% 7.48/7.50 0 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_A_2).
% 7.48/7.50 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).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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,$f73(V_g_2,V_f_2,T_a,T_b)),hAPP(V_g_2,$f73(V_g_2,V_f_2,T_a,T_b))).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 0 [] -hBOOL(hAPP(V_P_2,V_x_2))| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_P_2,V_Q_2)|hBOOL(hAPP(V_Q_2,V_x_2)).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 0 [] -class_Orderings_Opreorder(T_a)|V_x!=V_y|c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y).
% 7.48/7.50 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)).
% 7.48/7.50 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.
% 7.48/7.50 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.
% 7.48/7.50 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_P_2,V_Q_2)| -hBOOL(hAPP(V_P_2,V_x_2))|hBOOL(hAPP(V_Q_2,V_x_2)).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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.
% 7.48/7.50 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).
% 7.48/7.50 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.
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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)).
% 7.48/7.50 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).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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))).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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.
% 7.48/7.50 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.
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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.
% 7.48/7.50 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.
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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)).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 0 [] c_member(T_a,$f74(V_A_2,T_a),V_A_2)|V_A_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)).
% 7.48/7.50 0 [] -c_member(T_a,B_x,V_A_2)|V_A_2!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)).
% 7.48/7.50 0 [] -c_member(T_a,B_x,V_A_2)|V_A_2!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)).
% 7.48/7.50 0 [] c_member(T_a,$f75(V_A_2,T_a),V_A_2)|V_A_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)).
% 7.48/7.50 0 [] -c_member(T_a,V_c_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))).
% 7.48/7.50 0 [] V_A_2!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))| -c_member(T_a,V_a_2,V_A_2).
% 7.48/7.50 0 [] -class_Orderings_Otop(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_x,c_Orderings_Otop__class_Otop(T_a)).
% 7.48/7.50 0 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,c_Set_Oinsert(T_a,V_a_2,V_B_2)).
% 7.48/7.50 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_b_2,V_B_2)).
% 7.48/7.50 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_D_2)|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_a_2,V_C_2),c_Set_Oinsert(T_a,V_a_2,V_D_2)).
% 7.48/7.50 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))).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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.
% 7.48/7.50 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.
% 7.48/7.50 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.
% 7.48/7.50 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.
% 7.48/7.50 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).
% 7.48/7.50 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)).
% 7.48/7.50 0 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_A_2).
% 7.48/7.50 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_D_2,V_B_2)|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_D_2)).
% 7.48/7.50 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)|c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_B_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_A_2))=V_A_2.
% 7.48/7.50 0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))!=c_Set_Oinsert(T_a,V_a_2,V_A_2).
% 7.48/7.50 0 [] c_Set_Oinsert(T_a,V_a_2,V_A_2)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)).
% 7.48/7.50 0 [] c_Set_Oinsert(T_a,V_a_2,c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))!=c_Set_Oinsert(T_a,V_c_2,c_Set_Oinsert(T_a,V_d_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))|V_a_2=V_c_2|V_a_2=V_d_2.
% 7.48/7.50 0 [] c_Set_Oinsert(T_a,V_a_2,c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))!=c_Set_Oinsert(T_a,V_c_2,c_Set_Oinsert(T_a,V_d_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))|V_a_2=V_c_2|V_b_2=V_c_2.
% 7.48/7.50 0 [] c_Set_Oinsert(T_a,V_a_2,c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))!=c_Set_Oinsert(T_a,V_c_2,c_Set_Oinsert(T_a,V_d_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))|V_b_2=V_d_2|V_a_2=V_d_2.
% 7.48/7.50 0 [] c_Set_Oinsert(T_a,V_a_2,c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))!=c_Set_Oinsert(T_a,V_c_2,c_Set_Oinsert(T_a,V_d_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))|V_b_2=V_d_2|V_b_2=V_c_2.
% 7.48/7.50 0 [] c_Set_Oinsert(T_a,V_a_2,c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))=c_Set_Oinsert(T_a,V_c_2,c_Set_Oinsert(T_a,V_d_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))|V_a_2!=V_c_2|V_b_2!=V_d_2.
% 7.48/7.50 0 [] c_Set_Oinsert(T_a,V_a_2,c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))=c_Set_Oinsert(T_a,V_c_2,c_Set_Oinsert(T_a,V_d_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))|V_a_2!=V_d_2|V_b_2!=V_c_2.
% 7.48/7.50 0 [] c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))!=c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))|V_a_2=V_b_2.
% 7.48/7.50 0 [] -c_Wellfounded_Owf(T_a,V_r_2)|c_Wellfounded_Owf(T_a,c_Transitive__Closure_Otrancl(T_a,V_r_2)).
% 7.48/7.50 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)).
% 7.48/7.50 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.
% 7.48/7.50 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.
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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).
% 7.48/7.50 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)).
% 7.48/7.50 0 [] c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_A_2)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)).
% 7.48/7.50 0 [] c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))=V_A_2.
% 7.48/7.50 0 [] c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_A_2)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)).
% 7.48/7.50 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)).
% 7.48/7.50 0 [] -c_Wellfounded_Owf(T_a,V_r_2)|c_Wellfounded_Oacyclic(T_a,V_r_2).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 0 [] c_Relation_Oantisym(T_a,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))).
% 7.48/7.50 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_x_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_B_2)| -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)).
% 7.48/7.50 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,V_B_2))| -c_member(T_a,V_x_2,V_A_2)|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_x_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_B_2).
% 7.48/7.50 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,V_B_2))|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).
% 7.48/7.50 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,V_B_2))|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).
% 7.48/7.50 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,V_B_2))| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_x_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_B_2)| -c_member(T_a,V_x_2,V_A_2).
% 7.48/7.50 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,V_B_2))| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_x_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_B_2)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2).
% 7.48/7.50 0 [] c_Relation_Ototal__on(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_r_2).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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.
% 7.48/7.50 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.
% 7.48/7.50 0 [] -c_Wellfounded_Owf(T_a,V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_a_2),V_r_2).
% 7.48/7.50 0 [] -c_Wellfounded_Owf(T_a,V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_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_a_2),V_r_2).
% 7.48/7.50 0 [] -c_Wellfounded_Owf(T_a,V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_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_a_2),V_r_2).
% 7.48/7.50 0 [] -c_Wellfounded_Owf(T_a,V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_a_2),V_r_2).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 0 [] -c_member(T_a,V_b_2,c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))|V_b_2=V_a_2.
% 7.48/7.50 0 [] c_member(T_a,V_b_2,c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))|V_b_2!=V_a_2.
% 7.48/7.50 0 [] -c_member(T_a,V_b_2,c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))|V_b_2=V_a_2.
% 7.48/7.50 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_C_2)|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)).
% 7.48/7.50 0 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_C_2)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)).
% 7.48/7.50 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)|c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2))=V_B_2.
% 7.48/7.50 0 [] -c_Wellfounded_Owf(T_a,V_r_2)|c_member(T_a,B_x,c_Wellfounded_Oacc(T_a,V_r_2)).
% 7.48/7.50 0 [] c_Wellfounded_Owf(T_a,V_r_2)| -c_member(T_a,$f76(V_r_2,T_a),c_Wellfounded_Oacc(T_a,V_r_2)).
% 7.48/7.50 0 [] -c_Wellfounded_Owf(T_a,V_r_2)|c_member(T_a,V_x_2,c_Wellfounded_Oacc(T_a,V_r_2)).
% 7.48/7.50 0 [] c_Set_Oinsert(T_a,V_a_2,V_A_2)=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_A_2).
% 7.48/7.50 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)).
% 7.48/7.50 0 [] c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_a_2,V_B_2))=c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))).
% 7.48/7.50 0 [] c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_a_2,V_B_2))=c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_B_2).
% 7.48/7.50 0 [] c_Set_Oinsert(T_a,V_a_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))=c_Set_Oinsert(T_a,V_a_2,V_A_2).
% 7.48/7.50 0 [] c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)).
% 7.48/7.50 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))).
% 7.48/7.50 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).
% 7.48/7.50 0 [] -c_member(T_a,V_a_2,V_A_2)|c_Set_Oinsert(T_a,V_a_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))=V_A_2.
% 7.48/7.50 0 [] c_member(T_a,V_x_2,V_A_2)|c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_x_2,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.
% 7.48/7.50 0 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Relation_ODomain(T_a,T_b,V_A_2),c_Relation_ODomain(T_a,T_b,V_B_2)),c_Relation_ODomain(T_a,T_b,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),V_A_2,V_B_2))).
% 7.48/7.50 0 [] -c_Order__Relation_Owell__order__on(T_a,V_A_2,V_r_2)|c_Order__Relation_Olinear__order__on(T_a,V_A_2,V_r_2).
% 7.48/7.50 0 [] -c_Order__Relation_Owell__order__on(T_a,V_A_2,V_r_2)|c_Wellfounded_Owf(T_a,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,c_Relation_OId(T_a))).
% 7.48/7.50 0 [] c_Order__Relation_Owell__order__on(T_a,V_A_2,V_r_2)| -c_Order__Relation_Olinear__order__on(T_a,V_A_2,V_r_2)| -c_Wellfounded_Owf(T_a,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,c_Relation_OId(T_a))).
% 7.48/7.50 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.
% 7.48/7.50 0 [] -c_member(T_a,V_x_2,V_A_2)| -c_Nitpick_Ofold__graph_H(T_a,T_b,V_f_2,V_z_2,c_Groups_Ominus__class_Ominus(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_y_2)|c_Nitpick_Ofold__graph_H(T_a,T_b,V_f_2,V_z_2,V_A_2,hAPP(hAPP(V_f_2,V_x_2),V_y_2)).
% 7.48/7.50 0 [] -c_Order__Relation_Opreorder__on(T_a,c_Relation_OField(T_a,V_r_2),V_r_2)| -c_member(T_a,V_a_2,c_Relation_OField(T_a,V_r_2))| -c_member(T_a,V_b_2,c_Relation_OField(T_a,V_r_2))| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_b_2,V_a_2),V_r_2).
% 7.48/7.50 0 [] -c_Order__Relation_Opreorder__on(T_a,c_Relation_OField(T_a,V_r_2),V_r_2)| -c_member(T_a,V_a_2,c_Relation_OField(T_a,V_r_2))| -c_member(T_a,V_b_2,c_Relation_OField(T_a,V_r_2))|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_b_2,V_a_2),V_r_2).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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).
% 7.48/7.50 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)).
% 7.48/7.50 0 [] c_Relation_OImage(T_a,T_a,c_Relation_OId(T_a),V_A_2)=V_A_2.
% 7.48/7.50 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.
% 7.48/7.50 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)).
% 7.48/7.50 0 [] c_Nitpick_Ofold__graph_H(T_a,T_b,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_z_2).
% 7.48/7.50 0 [] c_Nitpick_Ofold__graph_H(T_a,T_b,V_a1_2,V_a2_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_a2_2).
% 7.48/7.50 0 [] -c_member(T_a,V_a_2,V_A_2)| -c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2),V_r_2)|c_member(T_b,V_b_2,c_Relation_OImage(T_a,T_b,V_r_2,V_A_2)).
% 7.48/7.50 0 [] -c_member(T_a,V_b_2,c_Relation_OImage(T_b,T_a,V_r_2,V_A_2))|c_member(T_b,$f77(V_A_2,V_r_2,T_b,V_b_2,T_a),V_A_2).
% 7.48/7.50 0 [] -c_member(T_a,V_b_2,c_Relation_OImage(T_b,T_a,V_r_2,V_A_2))|c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,$f77(V_A_2,V_r_2,T_b,V_b_2,T_a),V_b_2),V_r_2).
% 7.48/7.50 0 [] c_member(T_a,V_b_2,c_Relation_OImage(T_b,T_a,V_r_2,V_A_2))| -c_member(T_b,B_x,V_A_2)| -c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,B_x,V_b_2),V_r_2).
% 7.48/7.50 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)).
% 7.48/7.50 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))).
% 7.48/7.50 0 [] -c_member(T_a,V_b_2,c_Relation_OImage(T_b,T_a,V_r_2,c_Set_Oinsert(T_b,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))|c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,V_a_2,V_b_2),V_r_2).
% 7.48/7.50 0 [] c_member(T_a,V_b_2,c_Relation_OImage(T_b,T_a,V_r_2,c_Set_Oinsert(T_b,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))| -c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,V_a_2,V_b_2),V_r_2).
% 7.48/7.50 0 [] -c_Order__Relation_Opartial__order__on(T_a,c_Relation_OField(T_a,V_r_2),V_r_2)| -c_member(T_a,V_a_2,c_Relation_OField(T_a,V_r_2))| -c_member(T_a,V_b_2,c_Relation_OField(T_a,V_r_2))|c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))!=c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))|V_a_2=V_b_2.
% 7.48/7.50 0 [] -c_Order__Relation_Opartial__order__on(T_a,c_Relation_OField(T_a,V_r_2),V_r_2)| -c_member(T_a,V_a_2,c_Relation_OField(T_a,V_r_2))| -c_member(T_a,V_b_2,c_Relation_OField(T_a,V_r_2))|c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))=c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))|V_a_2!=V_b_2.
% 7.48/7.50 0 [] -c_Relation_Orefl__on(T_a,c_Relation_OField(T_a,V_r_2),V_r_2)| -c_Relation_Oantisym(T_a,V_r_2)| -c_member(T_a,V_a_2,c_Relation_OField(T_a,V_r_2))| -c_member(T_a,V_b_2,c_Relation_OField(T_a,V_r_2))|c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))!=c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))|V_a_2=V_b_2.
% 7.48/7.50 0 [] -c_Relation_Orefl__on(T_a,c_Relation_OField(T_a,V_r_2),V_r_2)| -c_Relation_Oantisym(T_a,V_r_2)| -c_member(T_a,V_a_2,c_Relation_OField(T_a,V_r_2))| -c_member(T_a,V_b_2,c_Relation_OField(T_a,V_r_2))|c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))=c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))|V_a_2!=V_b_2.
% 7.48/7.50 0 [] -c_Order__Relation_Opreorder__on(T_a,c_Relation_OField(T_a,V_r_2),V_r_2)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Relation_OField(T_a,V_r_2))| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,c_Relation_OField(T_a,V_r_2))| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Relation_OImage(T_a,T_a,V_r_2,V_A_2),c_Relation_OImage(T_a,T_a,V_r_2,V_B_2))| -c_member(T_a,B_x,V_A_2)|c_member(T_a,$f78(V_B_2,V_A_2,V_r_2,T_a,B_x),V_B_2).
% 7.48/7.50 0 [] -c_Order__Relation_Opreorder__on(T_a,c_Relation_OField(T_a,V_r_2),V_r_2)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Relation_OField(T_a,V_r_2))| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,c_Relation_OField(T_a,V_r_2))| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Relation_OImage(T_a,T_a,V_r_2,V_A_2),c_Relation_OImage(T_a,T_a,V_r_2,V_B_2))| -c_member(T_a,B_x,V_A_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f78(V_B_2,V_A_2,V_r_2,T_a,B_x),B_x),V_r_2).
% 7.48/7.50 0 [] -c_Order__Relation_Opreorder__on(T_a,c_Relation_OField(T_a,V_r_2),V_r_2)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Relation_OField(T_a,V_r_2))| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,c_Relation_OField(T_a,V_r_2))|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Relation_OImage(T_a,T_a,V_r_2,V_A_2),c_Relation_OImage(T_a,T_a,V_r_2,V_B_2))|c_member(T_a,$f79(V_B_2,V_A_2,V_r_2,T_a),V_A_2).
% 7.48/7.50 0 [] -c_Order__Relation_Opreorder__on(T_a,c_Relation_OField(T_a,V_r_2),V_r_2)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Relation_OField(T_a,V_r_2))| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,c_Relation_OField(T_a,V_r_2))|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Relation_OImage(T_a,T_a,V_r_2,V_A_2),c_Relation_OImage(T_a,T_a,V_r_2,V_B_2))| -c_member(T_a,B_xa,V_B_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_xa,$f79(V_B_2,V_A_2,V_r_2,T_a)),V_r_2).
% 7.48/7.50 0 [] c_Wellfounded_Owf(T_a,c_Wellfounded_Omeasure(T_a,V_f_2)).
% 7.48/7.50 0 [] -c_Nitpick_Ofold__graph_H(T_a,T_b,V_a3_2,V_a4_2,V_a2_2,hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2))|V_a2_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))|hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2)=hAPP(hAPP(V_a3_2,$f81(V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_b,T_a)),$f80(V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_b,T_a)).
% 7.48/7.50 0 [] -c_Nitpick_Ofold__graph_H(T_a,T_b,V_a3_2,V_a4_2,V_a2_2,hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2))|V_a2_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))|c_member(T_a,$f81(V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_b,T_a),V_a2_2).
% 7.48/7.50 0 [] -c_Nitpick_Ofold__graph_H(T_a,T_b,V_a3_2,V_a4_2,V_a2_2,hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2))|V_a2_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))|c_Nitpick_Ofold__graph_H(T_a,T_b,V_a3_2,V_a4_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_a2_2,c_Set_Oinsert(T_a,$f81(V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_b,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),$f80(V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_b,T_a)).
% 7.48/7.50 0 [] -c_Nitpick_Ofold__graph_H(T_a,T_b,V_a3_2,V_a4_2,V_a2_2,hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2))|hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2)=V_a4_2|hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2)=hAPP(hAPP(V_a3_2,$f81(V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_b,T_a)),$f80(V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_b,T_a)).
% 7.48/7.50 0 [] -c_Nitpick_Ofold__graph_H(T_a,T_b,V_a3_2,V_a4_2,V_a2_2,hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2))|hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2)=V_a4_2|c_member(T_a,$f81(V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_b,T_a),V_a2_2).
% 7.48/7.50 0 [] -c_Nitpick_Ofold__graph_H(T_a,T_b,V_a3_2,V_a4_2,V_a2_2,hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2))|hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2)=V_a4_2|c_Nitpick_Ofold__graph_H(T_a,T_b,V_a3_2,V_a4_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_a2_2,c_Set_Oinsert(T_a,$f81(V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_b,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),$f80(V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_b,T_a)).
% 7.48/7.50 0 [] c_Nitpick_Ofold__graph_H(T_a,T_b,V_a3_2,V_a4_2,V_a2_2,hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2))|V_a2_2!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))|hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2)!=V_a4_2.
% 7.48/7.50 0 [] c_Nitpick_Ofold__graph_H(T_a,T_b,V_a3_2,V_a4_2,V_a2_2,hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2))|hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2)!=hAPP(hAPP(V_a3_2,B_x),B_y)| -c_member(T_a,B_x,V_a2_2)| -c_Nitpick_Ofold__graph_H(T_a,T_b,V_a3_2,V_a4_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_a2_2,c_Set_Oinsert(T_a,B_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),B_y).
% 7.48/7.50 0 [] -class_Groups_Oordered__ab__group__add(T_a)|c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2)!=c_Groups_Ominus__class_Ominus(T_a,V_c_2,V_d_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,V_b_2)|c_Orderings_Oord__class_Oless__e_q(T_a,V_c_2,V_d_2).
% 7.48/7.50 0 [] -class_Groups_Oordered__ab__group__add(T_a)|c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2)!=c_Groups_Ominus__class_Ominus(T_a,V_c_2,V_d_2)|c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,V_b_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_c_2,V_d_2).
% 7.48/7.50 0 [] -class_Groups_Oab__group__add(T_a)|c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2)!=c_Groups_Ominus__class_Ominus(T_a,V_c_2,V_d_2)|V_a_2!=V_b_2|V_c_2=V_d_2.
% 7.48/7.50 0 [] -class_Groups_Oab__group__add(T_a)|c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2)!=c_Groups_Ominus__class_Ominus(T_a,V_c_2,V_d_2)|V_a_2=V_b_2|V_c_2!=V_d_2.
% 7.48/7.50 0 [] -c_member(T_a,V_b_2,c_Relation_OImage(T_b,T_a,V_r_2,V_A_2))|c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,$f82(V_A_2,V_r_2,T_b,V_b_2,T_a),V_b_2),V_r_2).
% 7.48/7.50 0 [] -c_member(T_a,V_b_2,c_Relation_OImage(T_b,T_a,V_r_2,V_A_2))|c_member(T_b,$f82(V_A_2,V_r_2,T_b,V_b_2,T_a),V_A_2).
% 7.48/7.50 0 [] hBOOL(hAPP(V_P_2,$f83(T_a,V_R_2,T_b,V_P_2)))|c_Wellfounded_Owf(tc_prod(T_a,T_b),c_Recdef_Osame__fst(T_a,T_b,V_P_2,V_R_2)).
% 7.48/7.50 0 [] -c_Wellfounded_Owf(T_b,hAPP(V_R_2,$f83(T_a,V_R_2,T_b,V_P_2)))|c_Wellfounded_Owf(tc_prod(T_a,T_b),c_Recdef_Osame__fst(T_a,T_b,V_P_2,V_R_2)).
% 7.48/7.50 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_b_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_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))| -c_member(T_a,V_b_2,V_A_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),V_r_2).
% 7.48/7.50 0 [] V_f_2!=c_Recdef_Owfrec(T_a,T_b,V_r_2,V_H_2)| -c_Wellfounded_Owf(T_a,V_r_2)|hAPP(V_f_2,V_a_2)=hAPP(hAPP(V_H_2,c_Recdef_Ocut(T_a,T_b,V_f_2,V_r_2,V_a_2)),V_a_2).
% 7.48/7.50 0 [] -c_Equiv__Relations_Oe_quiv(T_a,V_A_2,V_r_2)| -c_member(T_a,V_a_2,V_A_2)|c_member(T_a,V_a_2,c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))).
% 7.48/7.50 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_a_2,V_b_2),V_r_2)|c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))=c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))).
% 7.48/7.50 0 [] c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))!=c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))| -c_Equiv__Relations_Oe_quiv(T_a,V_A_2,V_r_2)| -c_member(T_a,V_b_2,V_A_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),V_r_2).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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)))).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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_a_2,V_b_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_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))).
% 7.48/7.50 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).
% 7.48/7.50 0 [] -c_Wellfounded_Owf(T_a,V_r_2)|hAPP(c_Recdef_Owfrec(T_a,T_b,V_r_2,V_H_2),V_a_2)=hAPP(hAPP(V_H_2,c_Recdef_Ocut(T_a,T_b,c_Recdef_Owfrec(T_a,T_b,V_r_2,V_H_2),V_r_2,V_a_2)),V_a_2).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),V_r_2).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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.
% 7.48/7.50 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.
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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.
% 7.48/7.50 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.
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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))).
% 7.48/7.50 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.
% 7.48/7.50 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,$f85(V_B_2,V_A_2,T_a),V_A_2).
% 7.48/7.50 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,$f84(V_B_2,V_A_2,T_a),V_B_2).
% 7.48/7.50 0 [] c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))|$f85(V_B_2,V_A_2,T_a)=$f84(V_B_2,V_A_2,T_a).
% 7.48/7.50 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.
% 7.48/7.50 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.
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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))).
% 7.48/7.50 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))).
% 7.48/7.50 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))).
% 7.48/7.50 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))).
% 7.48/7.50 0 [] -c_member(T_a,V_a_2,V_C_2)|c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_a_2,V_B_2),V_C_2)=c_Set_Oinsert(T_a,V_a_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)).
% 7.48/7.50 0 [] -c_member(T_a,V_a_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_a_2,V_B_2))=c_Set_Oinsert(T_a,V_a_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)).
% 7.48/7.50 0 [] c_member(T_a,V_a_2,V_C_2)|c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_a_2,V_B_2),V_C_2)=c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2).
% 7.48/7.50 0 [] c_member(T_a,V_a_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_a_2,V_B_2))=c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2).
% 7.48/7.50 0 [] -c_member(T_a,V_a_2,V_C_2)|c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_a_2,V_B_2),V_C_2)=c_Set_Oinsert(T_a,V_a_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)).
% 7.48/7.50 0 [] c_member(T_a,V_a_2,V_C_2)|c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_a_2,V_B_2),V_C_2)=c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2).
% 7.48/7.50 0 [] -c_member(T_a,V_a_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_a_2,V_B_2))=c_Set_Oinsert(T_a,V_a_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)).
% 7.48/7.50 0 [] c_member(T_a,V_a_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_a_2,V_B_2))=c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2).
% 7.48/7.50 0 [] c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)).
% 7.48/7.50 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_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)=V_A_2.
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 0 [] c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_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.
% 7.48/7.50 0 [] c_Groups_Ominus__class_Ominus(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__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2)).
% 7.48/7.50 0 [] c_Groups_Ominus__class_Ominus(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__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2)).
% 7.48/7.50 0 [] -class_Lattices_Osemilattice__inf(T_a)|c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,V_a)=V_a.
% 7.48/7.50 0 [] -class_Lattices_Osemilattice__inf(T_a)|c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_x)=V_x.
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 0 [] c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_A_2)=V_A_2.
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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.
% 7.48/7.50 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.
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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.
% 7.48/7.50 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.
% 7.48/7.50 0 [] -c_Relation_Otrans(T_a,V_r_2)| -c_Relation_Otrans(T_a,V_s_2)|c_Relation_Otrans(T_a,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,V_s_2)).
% 7.48/7.50 0 [] c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2))=c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2),V_B_2).
% 7.48/7.50 0 [] c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_C_2)=c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)).
% 7.48/7.50 0 [] c_Groups_Ominus__class_Ominus(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_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)).
% 7.48/7.50 0 [] c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_C_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))=c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),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),V_C_2,V_B_2)).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.50 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)).
% 7.48/7.51 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)).
% 7.48/7.51 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.
% 7.48/7.51 0 [] class_Lattices_Obounded__lattice(tc_HOL_Obool).
% 7.48/7.51 0 [] -class_Lattices_Obounded__lattice(T_1)|class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)).
% 7.48/7.51 0 [] -class_Lattices_Obounded__lattice(T_1)|class_Lattices_Obounded__lattice__top(tc_fun(T_2,T_1)).
% 7.48/7.51 0 [] -class_Lattices_Obounded__lattice(T_1)|class_Lattices_Obounded__lattice__bot(tc_fun(T_2,T_1)).
% 7.48/7.51 0 [] -class_Lattices_Olattice(T_1)|class_Lattices_Osemilattice__sup(tc_fun(T_2,T_1)).
% 7.48/7.51 0 [] -class_Lattices_Olattice(T_1)|class_Lattices_Osemilattice__inf(tc_fun(T_2,T_1)).
% 7.48/7.51 0 [] -class_Lattices_Odistrib__lattice(T_1)|class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1)).
% 7.48/7.51 0 [] -class_Orderings_Opreorder(T_1)|class_Orderings_Opreorder(tc_fun(T_2,T_1)).
% 7.48/7.51 0 [] -class_Lattices_Olattice(T_1)|class_Lattices_Olattice(tc_fun(T_2,T_1)).
% 7.48/7.51 0 [] -class_Orderings_Oorder(T_1)|class_Orderings_Oorder(tc_fun(T_2,T_1)).
% 7.48/7.51 0 [] -class_Orderings_Otop(T_1)|class_Orderings_Otop(tc_fun(T_2,T_1)).
% 7.48/7.51 0 [] -class_Orderings_Oord(T_1)|class_Orderings_Oord(tc_fun(T_2,T_1)).
% 7.48/7.51 0 [] -class_Orderings_Obot(T_1)|class_Orderings_Obot(tc_fun(T_2,T_1)).
% 7.48/7.51 0 [] -class_Groups_Ominus(T_1)|class_Groups_Ominus(tc_fun(T_2,T_1)).
% 7.48/7.51 0 [] class_Lattices_Obounded__lattice__top(tc_HOL_Obool).
% 7.48/7.51 0 [] class_Lattices_Obounded__lattice__bot(tc_HOL_Obool).
% 7.48/7.51 0 [] class_Lattices_Osemilattice__sup(tc_HOL_Obool).
% 7.48/7.51 0 [] class_Lattices_Osemilattice__inf(tc_HOL_Obool).
% 7.48/7.51 0 [] class_Lattices_Odistrib__lattice(tc_HOL_Obool).
% 7.48/7.51 0 [] class_Orderings_Opreorder(tc_HOL_Obool).
% 7.48/7.51 0 [] class_Lattices_Olattice(tc_HOL_Obool).
% 7.48/7.51 0 [] class_Orderings_Oorder(tc_HOL_Obool).
% 7.48/7.51 0 [] class_Orderings_Otop(tc_HOL_Obool).
% 7.48/7.51 0 [] class_Orderings_Oord(tc_HOL_Obool).
% 7.48/7.51 0 [] class_Orderings_Obot(tc_HOL_Obool).
% 7.48/7.51 0 [] class_Groups_Ominus(tc_HOL_Obool).
% 7.48/7.51 0 [] -hBOOL(hAPP(c_fe_qual(V_x_2),V_y_2))|V_x_2=V_y_2.
% 7.48/7.51 0 [] V_x_2!=V_y_2|hBOOL(hAPP(c_fe_qual(V_x_2),V_y_2)).
% 7.48/7.51 0 [] -c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(B_P,$f86(B_P)))| -c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(B_P,$f86(B_P)))| -c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(B_P,$f86(B_P)))|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_P,v_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),v_F(B_P)).
% 7.48/7.51 0 [] c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,B_x)).
% 7.48/7.51 0 [] c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,B_x)).
% 7.48/7.51 0 [] c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,B_x)).
% 7.48/7.51 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),v_F(v_P)).
% 7.48/7.51 0 [] -c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,$c2))| -c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,$c2))| -c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,$c2))|c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)).
% 7.48/7.51 0 [] -c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,$c2))| -c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,$c2))| -c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,$c2))|c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)).
% 7.48/7.51 0 [] -c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,$c2))| -c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,$c2))| -c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,$c2))|c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),v_F(v_P)).
% 7.48/7.51 0 [] -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),hAPP(v_P,v_i)).
% 7.48/7.51 end_of_list.
% 7.48/7.51
% 7.48/7.51 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 7.48/7.51
% 7.48/7.51 This ia a non-Horn set with equality. The strategy will be
% 7.48/7.51 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 7.48/7.51 deletion, with positive clauses in sos and nonpositive
% 7.48/7.51 clauses in usable.
% 7.48/7.51
% 7.48/7.51 dependent: set(knuth_bendix).
% 7.48/7.51 dependent: set(anl_eq).
% 7.48/7.51 dependent: set(para_from).
% 7.48/7.51 dependent: set(para_into).
% 7.48/7.51 dependent: clear(para_from_right).
% 7.48/7.51 dependent: clear(para_into_right).
% 7.48/7.51 dependent: set(para_from_vars).
% 7.48/7.51 dependent: set(eq_units_both_ways).
% 7.48/7.51 dependent: set(dynamic_demod_all).
% 7.48/7.51 dependent: set(dynamic_demod).
% 7.48/7.51 dependent: set(order_eq).
% 7.48/7.51 dependent: set(back_demod).
% 7.48/7.51 dependent: set(lrpo).
% 7.48/7.51 dependent: set(hyper_res).
% 7.48/7.51 dependent: set(unit_deletion).
% 7.48/7.51 dependent: set(factor).
% 7.48/7.51
% 7.48/7.51 ------------> process usable:
% 7.48/7.51 ** KEPT (pick-wt=14): 1 [] hAPP(A,$f1(B,A))!=hAPP(B,$f1(B,A))|A=B.
% 7.48/7.51 ** KEPT (pick-wt=13): 2 [] -c_Relation_Oirrefl(A,B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,C),B).
% 7.48/7.51 ** KEPT (pick-wt=35): 3 [] -c_Relation_Ototal__on(A,B,C)| -c_member(A,D,B)| -c_member(A,E,B)|D=E|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,D,E),C)|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,E,D),C).
% 7.48/7.51 ** KEPT (pick-wt=13): 4 [] c_Relation_Ototal__on(A,B,C)|$f4(C,B,A)!=$f3(C,B,A).
% 7.48/7.51 ** KEPT (pick-wt=20): 5 [] c_Relation_Ototal__on(A,B,C)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f4(C,B,A),$f3(C,B,A)),C).
% 7.48/7.51 ** KEPT (pick-wt=20): 6 [] c_Relation_Ototal__on(A,B,C)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f3(C,B,A),$f4(C,B,A)),C).
% 7.48/7.51 ** KEPT (pick-wt=33): 7 [] -c_Relation_Otrans(A,B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,D),B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,D,E),B)|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,E),B).
% 7.48/7.51 ** KEPT (pick-wt=17): 8 [] c_Relation_Otrans(A,B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f7(B,A),$f5(B,A)),B).
% 7.48/7.51 Following clause subsumed by 7 during input processing: 0 [] -c_Relation_Otrans(A,B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,D),B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,D,E),B)|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,E),B).
% 7.48/7.51 ** KEPT (pick-wt=11): 9 [] A!=B|c_member(C,D,A)| -c_member(C,D,B).
% 7.48/7.51 ** KEPT (pick-wt=11): 10 [] A!=B|c_member(C,D,B)| -c_member(C,D,A).
% 7.48/7.51 ** KEPT (pick-wt=15): 11 [] -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,B),c_Arrow__Order__Mirabelle_Omkbot(C,D))|B!=D.
% 7.48/7.51 ** KEPT (pick-wt=18): 12 [] -c_member(tc_prod(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.
% 7.48/7.51 ** KEPT (pick-wt=25): 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))|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).
% 7.48/7.51 ** KEPT (pick-wt=28): 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))|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).
% 7.48/7.51 ** KEPT (pick-wt=21): 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))|B=D|A=B|A!=D.
% 7.48/7.51 ** 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=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).
% 7.48/7.51 ** KEPT (pick-wt=15): 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_Omktop(C,D))|A!=D.
% 7.48/7.51 ** KEPT (pick-wt=18): 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_Omktop(C,D))|B!=D|A!=B.
% 7.48/7.51 ** KEPT (pick-wt=25): 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))|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).
% 7.48/7.51 ** KEPT (pick-wt=28): 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))|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).
% 7.48/7.51 ** KEPT (pick-wt=21): 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))|A=D|A=B|B!=D.
% 7.48/7.51 ** 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|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).
% 7.48/7.51 ** KEPT (pick-wt=7): 23 [] -c_Order__Relation_Ostrict__linear__order__on(A,B,C)|c_Relation_Otrans(A,C).
% 7.48/7.51 ** KEPT (pick-wt=7): 24 [] -c_Order__Relation_Ostrict__linear__order__on(A,B,C)|c_Relation_Oirrefl(A,C).
% 7.48/7.51 ** KEPT (pick-wt=8): 25 [] -c_Order__Relation_Ostrict__linear__order__on(A,B,C)|c_Relation_Ototal__on(A,B,C).
% 7.48/7.51 ** KEPT (pick-wt=14): 26 [] c_Order__Relation_Ostrict__linear__order__on(A,B,C)| -c_Relation_Otrans(A,C)| -c_Relation_Oirrefl(A,C)| -c_Relation_Ototal__on(A,B,C).
% 7.48/7.51 ** KEPT (pick-wt=11): 27 [] -class_Orderings_Otop(A)|hAPP(c_Orderings_Otop__class_Otop(tc_fun(B,A)),C)=c_Orderings_Otop__class_Otop(A).
% 7.48/7.51 ** KEPT (pick-wt=11): 28 [] A!=B| -c_member(C,B,D)|c_member(C,A,D).
% 7.48/7.51 ** KEPT (pick-wt=11): 29 [] A!=B| -c_member(C,A,D)|c_member(C,B,D).
% 7.48/7.51 Following clause subsumed by 28 during input processing: 0 [] A!=B|c_member(C,A,D)| -c_member(C,B,D).
% 7.48/7.51 Following clause subsumed by 10 during input processing: 0 [] A!=B| -c_member(C,D,A)|c_member(C,D,B).
% 7.48/7.51 Following clause subsumed by 9 during input processing: 0 [] A!=B|c_member(C,D,A)| -c_member(C,D,B).
% 7.48/7.51 ** KEPT (pick-wt=8): 30 [] -c_member(A,B,c_fe_qual(C))|B=C.
% 7.48/7.51 ** KEPT (pick-wt=8): 31 [] c_member(A,B,c_fe_qual(C))|B!=C.
% 7.48/7.51 ** KEPT (pick-wt=8): 32 [] -c_member(A,B,C)|hBOOL(hAPP(C,B)).
% 7.48/7.51 ** KEPT (pick-wt=8): 33 [] c_member(A,B,C)| -hBOOL(hAPP(C,B)).
% 7.48/7.51 ** KEPT (pick-wt=16): 34 [] -c_FunDef_Oin__rel(A,B,C,D,E)|c_member(tc_prod(A,B),c_Product__Type_OPair(A,B,D,E),C).
% 7.48/7.51 ** KEPT (pick-wt=16): 35 [] c_FunDef_Oin__rel(A,B,C,D,E)| -c_member(tc_prod(A,B),c_Product__Type_OPair(A,B,D,E),C).
% 7.48/7.51 ** KEPT (pick-wt=46): 36 [] -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)).
% 7.48/7.51 ** KEPT (pick-wt=17): 37 [] -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)).
% 7.48/7.51 ** KEPT (pick-wt=19): 38 [] 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)).
% 7.48/7.51 ** KEPT (pick-wt=15): 39 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Relation_OId__on(A,D))|B=C.
% 7.48/7.51 ** KEPT (pick-wt=16): 40 [] -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).
% 7.48/7.51 Following clause subsumed by 38 during input processing: 0 [] c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Relation_OId__on(A,D))|B!=C| -c_member(A,B,D).
% 7.48/7.51 ** KEPT (pick-wt=17): 41 [] -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)).
% 7.48/7.51 ** KEPT (pick-wt=13): 42 [] -c_Nitpick_Orefl_H(A,B)|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,C),B).
% 7.48/7.51 ** KEPT (pick-wt=17): 43 [] c_Nitpick_Orefl_H(A,B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f8(B,A),$f8(B,A)),B).
% 7.48/7.51 ** KEPT (pick-wt=17): 44 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f11(B,A),$f9(B,A)),B)|c_Relation_Otrans(A,B).
% 7.48/7.51 ** KEPT (pick-wt=28): 45 [] -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).
% 7.48/7.51 ** KEPT (pick-wt=31): 46 [] -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).
% 7.48/7.51 Following clause subsumed by 45 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).
% 7.48/7.51 ** KEPT (pick-wt=28): 47 [] -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).
% 7.48/7.51 ** KEPT (pick-wt=28): 48 [] 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).
% 7.48/7.51 ** KEPT (pick-wt=10): 49 [] -c_Relation_Otrans(A,B)|c_Relation_Otrans(C,c_Relation_Oinv__image(A,C,B,D)).
% 7.48/7.51 ** KEPT (pick-wt=18): 50 [] -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).
% 7.48/7.51 ** KEPT (pick-wt=18): 51 [] -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).
% 7.48/7.51 ** KEPT (pick-wt=21): 52 [] -c_member(A,B,c_Relation_ODomain(A,C,D))|c_member(tc_prod(A,C),c_Product__Type_OPair(A,C,B,$f12(D,C,B,A)),D).
% 7.48/7.51 Following clause subsumed by 41 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).
% 7.48/7.51 ** KEPT (pick-wt=21): 53 [] -c_member(A,B,c_Relation_ORange(C,A,D))|c_member(tc_prod(C,A),c_Product__Type_OPair(C,A,$f13(D,C,B,A),B),D).
% 7.48/7.51 Following clause subsumed by 37 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).
% 7.48/7.51 ** KEPT (pick-wt=27): 54 [] 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.
% 7.48/7.51 ** KEPT (pick-wt=37): 55 [] 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).
% 7.48/7.51 ** KEPT (pick-wt=43): 56 [] 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).
% 7.48/7.51 ** KEPT (pick-wt=40): 57 [] 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).
% 7.48/7.51 ** KEPT (pick-wt=43): 58 [] 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).
% 7.48/7.51 ** KEPT (pick-wt=36): 59 [] 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.
% 7.48/7.51 ** KEPT (pick-wt=43): 60 [] 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).
% 7.48/7.51 ** KEPT (pick-wt=43): 61 [] 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.
% 7.48/7.51 ** KEPT (pick-wt=50): 62 [] 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).
% 7.48/7.51 ** KEPT (pick-wt=40): 63 [] 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.
% 7.48/7.51 ** KEPT (pick-wt=50): 64 [] 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).
% 7.48/7.51 ** KEPT (pick-wt=43): 65 [] 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.
% 7.48/7.51 ** KEPT (pick-wt=50): 66 [] 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).
% 7.48/7.51 ** KEPT (pick-wt=50): 67 [] 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.
% 7.48/7.51 ** KEPT (pick-wt=57): 68 [] 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).
% 7.48/7.51 ** KEPT (pick-wt=27): 69 [] 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.
% 7.48/7.51 ** KEPT (pick-wt=37): 70 [] 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).
% 7.48/7.51 ** KEPT (pick-wt=43): 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_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).
% 7.48/7.51 ** KEPT (pick-wt=40): 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_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).
% 7.48/7.51 ** 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_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).
% 7.48/7.51 ** KEPT (pick-wt=36): 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_Obelow(C,A,B))|D=E|E=A|E!=B|D!=A.
% 7.48/7.51 ** 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_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).
% 7.48/7.51 ** KEPT (pick-wt=43): 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_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.
% 7.48/7.51 ** KEPT (pick-wt=50): 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_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).
% 7.48/7.51 ** KEPT (pick-wt=40): 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_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.
% 7.48/7.51 ** 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_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).
% 7.48/7.52 ** KEPT (pick-wt=43): 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_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.
% 7.48/7.52 ** 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_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).
% 7.48/7.52 ** KEPT (pick-wt=50): 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_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.
% 7.48/7.52 ** KEPT (pick-wt=57): 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_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).
% 7.48/7.52 ** KEPT (pick-wt=22): 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_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).
% 7.48/7.52 ** KEPT (pick-wt=22): 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_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).
% 7.48/7.52 ** KEPT (pick-wt=43): 86 [] -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.
% 7.48/7.52 ** KEPT (pick-wt=50): 87 [] -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).
% 7.48/7.52 ** KEPT (pick-wt=40): 88 [] 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).
% 7.48/7.52 ** KEPT (pick-wt=43): 89 [] c_member(tc_prod(tc_prod(A,B),tc_prod(A,B)),c_Product__Type_OPair(tc_prod(A,B),tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),c_Product__Type_OPair(A,B,E,F)),c_Wellfounded_Olex__prod(A,B,G,H))|C!=E| -c_member(tc_prod(B,B),c_Product__Type_OPair(B,B,D,F),H).
% 7.48/7.52 ** KEPT (pick-wt=15): 90 [] -c_member(tc_prod(A,A),B,c_Relation_OId__on(A,C))|c_member(A,$f14(C,B,A),C).
% 7.48/7.52 ** KEPT (pick-wt=21): 92 [copy,91,flip.2] -c_member(tc_prod(A,A),B,c_Relation_OId__on(A,C))|c_Product__Type_OPair(A,A,$f14(C,B,A),$f14(C,B,A))=B.
% 7.48/7.52 ** KEPT (pick-wt=21): 93 [] -c_member(A,B,c_Relation_ORange(C,A,D))|c_member(tc_prod(C,A),c_Product__Type_OPair(C,A,$f15(D,C,B,A),B),D).
% 7.48/7.52 ** KEPT (pick-wt=21): 94 [] -c_member(A,B,c_Relation_ODomain(A,C,D))|c_member(tc_prod(A,C),c_Product__Type_OPair(A,C,B,$f16(D,C,B,A)),D).
% 7.48/7.52 ** KEPT (pick-wt=18): 95 [] -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).
% 7.48/7.52 ** KEPT (pick-wt=18): 96 [] -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).
% 7.48/7.52 ** KEPT (pick-wt=15): 97 [] -c_Relation_Otrans(A,B)| -c_Relation_Otrans(C,D)|c_Relation_Otrans(tc_prod(A,C),c_Wellfounded_Olex__prod(A,C,B,D)).
% 7.48/7.52 ** KEPT (pick-wt=18): 98 [] -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).
% 7.48/7.52 ** KEPT (pick-wt=8): 99 [] -c_Order__Relation_Opreorder__on(A,B,C)|c_Relation_Orefl__on(A,B,C).
% 7.48/7.52 ** KEPT (pick-wt=7): 100 [] -c_Order__Relation_Opreorder__on(A,B,C)|c_Relation_Otrans(A,C).
% 7.48/7.52 ** KEPT (pick-wt=11): 101 [] c_Order__Relation_Opreorder__on(A,B,C)| -c_Relation_Orefl__on(A,B,C)| -c_Relation_Otrans(A,C).
% 7.48/7.52 ** KEPT (pick-wt=22): 102 [] -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)).
% 7.48/7.52 Following clause subsumed by 102 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)).
% 7.48/7.52 ** KEPT (pick-wt=15): 103 [] c_member(A,B,c_Wellfounded_Oacc(A,C))| -c_member(A,$f17(C,B,A),c_Wellfounded_Oacc(A,C)).
% 7.48/7.52 ** KEPT (pick-wt=28): 105 [copy,104,flip.2] -c_Recdef_Owfrec__rel(A,B,C,D,E,hAPP(hAPP(D,F),E))|hAPP(hAPP(D,$f18(F,E,D,C,B,A)),E)=hAPP(hAPP(D,F),E).
% 7.48/7.52 ** KEPT (pick-wt=36): 106 [] -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($f18(F,E,D,C,B,A),G)).
% 7.48/7.52 ** KEPT (pick-wt=39): 107 [] c_Recdef_Owfrec__rel(A,B,C,D,E,hAPP(hAPP(D,F),E))|hAPP(hAPP(D,F),E)!=hAPP(hAPP(D,G),E)|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f19(F,E,D,C,B,A,G),E),C).
% 7.48/7.52 ** KEPT (pick-wt=45): 108 [] c_Recdef_Owfrec__rel(A,B,C,D,E,hAPP(hAPP(D,F),E))|hAPP(hAPP(D,F),E)!=hAPP(hAPP(D,G),E)| -c_Recdef_Owfrec__rel(A,B,C,D,$f19(F,E,D,C,B,A,G),hAPP(G,$f19(F,E,D,C,B,A,G))).
% 7.48/7.52 ** KEPT (pick-wt=27): 109 [] -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.
% 7.48/7.52 Following clause subsumed by 109 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.
% 7.48/7.52 ** KEPT (pick-wt=13): 110 [] c_Relation_Osingle__valued(A,B,C)|$f21(C,B,A)!=$f20(C,B,A).
% 7.48/7.52 ** KEPT (pick-wt=22): 111 [] -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).
% 7.48/7.52 ** KEPT (pick-wt=30): 112 [] 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).
% 7.48/7.52 ** KEPT (pick-wt=32): 113 [] c_Recdef_Ocut(A,B,C,D,E)=c_Recdef_Ocut(A,B,F,D,E)|hAPP(C,$f23(F,E,D,C,B,A))!=hAPP(F,$f23(F,E,D,C,B,A)).
% 7.48/7.52 Following clause subsumed by 111 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).
% 7.48/7.52 ** KEPT (pick-wt=15): 114 [] -c_member(A,$f24(B,C,A),c_Wellfounded_Oacc(A,B))|c_member(A,C,c_Wellfounded_Oacc(A,B)).
% 7.48/7.52 ** KEPT (pick-wt=15): 115 [] c_member(A,B,c_Wellfounded_Oacc(A,C))| -c_member(A,$f25(C,B,A),c_Wellfounded_Oacc(A,C)).
% 7.48/7.52 ** KEPT (pick-wt=20): 117 [copy,116,flip.2] -c_Recdef_Owfrec__rel(A,B,C,D,E,F)|hAPP(hAPP(D,$f26(F,E,D,C,B,A)),E)=F.
% 7.48/7.52 ** KEPT (pick-wt=32): 118 [] -c_Recdef_Owfrec__rel(A,B,C,D,E,F)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,G,E),C)|c_Recdef_Owfrec__rel(A,B,C,D,G,hAPP($f26(F,E,D,C,B,A),G)).
% 7.48/7.52 ** KEPT (pick-wt=31): 119 [] 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,$f27(F,E,D,C,B,A,G),E),C).
% 7.48/7.52 ** KEPT (pick-wt=37): 120 [] c_Recdef_Owfrec__rel(A,B,C,D,E,F)|F!=hAPP(hAPP(D,G),E)| -c_Recdef_Owfrec__rel(A,B,C,D,$f27(F,E,D,C,B,A,G),hAPP(G,$f27(F,E,D,C,B,A,G))).
% 7.48/7.52 ** KEPT (pick-wt=32): 121 [] -c_Recdef_Owfrec__rel(A,B,C,D,$f28(E,D,B,C,F,A),hAPP(E,$f28(E,D,B,C,F,A)))|c_Recdef_Owfrec__rel(A,B,C,D,F,hAPP(hAPP(D,E),F)).
% 7.48/7.52 ** KEPT (pick-wt=13): 122 [] $f30(A,B,C)!=$f29(A,B,C)|c_Relation_Osingle__valued(C,B,A).
% 7.48/7.52 ** KEPT (pick-wt=24): 123 [] -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)).
% 7.48/7.52 Following clause subsumed by 123 during input processing: 0 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))| -c_member(A,C,c_Wellfounded_Oacc(A,D))|c_member(A,B,c_Wellfounded_Oacc(A,D)).
% 7.48/7.52 ** KEPT (pick-wt=14): 124 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Relation_OId(A))|B=C.
% 7.48/7.52 ** KEPT (pick-wt=14): 125 [] c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Relation_OId(A))|B!=C.
% 7.48/7.52 ** KEPT (pick-wt=14): 126 [] -c_member(tc_prod(A,A),B,C)|c_member(tc_prod(A,A),B,c_Transitive__Closure_Ortrancl(A,C)).
% 7.48/7.52 ** KEPT (pick-wt=22): 127 [] 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.
% 7.48/7.52 ** KEPT (pick-wt=22): 128 [] 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.
% 7.48/7.52 ** KEPT (pick-wt=52): 129 [] -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)).
% 7.48/7.52 ** KEPT (pick-wt=36): 130 [] -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)).
% 7.48/7.52 ** KEPT (pick-wt=34): 131 [] -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)).
% 7.48/7.52 ** KEPT (pick-wt=34): 132 [] -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)).
% 7.48/7.53 ** KEPT (pick-wt=18): 134 [copy,133,flip.2] -c_member(tc_prod(A,A),B,c_Relation_OId(A))|c_Product__Type_OPair(A,A,$f32(B,A),$f32(B,A))=B.
% 7.48/7.53 ** KEPT (pick-wt=88): 135 [] -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)).
% 7.48/7.53 ** KEPT (pick-wt=100): 136 [] -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)).
% 7.48/7.53 ** KEPT (pick-wt=64): 137 [] -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)).
% 7.48/7.53 ** KEPT (pick-wt=64): 138 [] -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)).
% 7.48/7.53 ** KEPT (pick-wt=100): 139 [] -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)).
% 7.48/7.53 ** KEPT (pick-wt=88): 140 [] -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)).
% 7.48/7.53 ** KEPT (pick-wt=64): 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,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)).
% 7.48/7.53 ** KEPT (pick-wt=64): 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,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)).
% 7.48/7.53 ** KEPT (pick-wt=81): 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))|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).
% 7.48/7.53 ** KEPT (pick-wt=85): 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))|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)).
% 7.48/7.53 ** KEPT (pick-wt=37): 145 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))| -hBOOL(hAPP(E,B))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,$f44(E,D,C,B,A)),c_Transitive__Closure_Ortrancl(A,D))|hBOOL(hAPP(E,C)).
% 7.48/7.53 ** KEPT (pick-wt=40): 146 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))| -hBOOL(hAPP(E,B))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f44(E,D,C,B,A),$f43(E,D,C,B,A)),D)|hBOOL(hAPP(E,C)).
% 7.48/7.53 ** KEPT (pick-wt=29): 147 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))| -hBOOL(hAPP(E,B))|hBOOL(hAPP(E,$f44(E,D,C,B,A)))|hBOOL(hAPP(E,C)).
% 7.48/7.53 ** KEPT (pick-wt=29): 148 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))| -hBOOL(hAPP(E,B))| -hBOOL(hAPP(E,$f43(E,D,C,B,A)))|hBOOL(hAPP(E,C)).
% 7.48/7.53 ** KEPT (pick-wt=40): 149 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))| -hBOOL(hAPP(E,C))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f46(E,D,C,B,A),$f45(E,D,C,B,A)),D)|hBOOL(hAPP(E,B)).
% 7.48/7.53 ** KEPT (pick-wt=37): 150 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))| -hBOOL(hAPP(E,C))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f45(E,D,C,B,A),C),c_Transitive__Closure_Ortrancl(A,D))|hBOOL(hAPP(E,B)).
% 7.48/7.53 ** KEPT (pick-wt=29): 151 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))| -hBOOL(hAPP(E,C))|hBOOL(hAPP(E,$f45(E,D,C,B,A)))|hBOOL(hAPP(E,B)).
% 7.48/7.53 ** KEPT (pick-wt=29): 152 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))| -hBOOL(hAPP(E,C))| -hBOOL(hAPP(E,$f46(E,D,C,B,A)))|hBOOL(hAPP(E,B)).
% 7.48/7.53 ** KEPT (pick-wt=29): 153 [] -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,$f47(D,C,B,A)),D).
% 7.48/7.53 ** KEPT (pick-wt=31): 154 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))|B=C|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f47(D,C,B,A),C),c_Transitive__Closure_Ortrancl(A,D)).
% 7.48/7.53 ** KEPT (pick-wt=31): 155 [] -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,$f48(D,C,B,A)),c_Transitive__Closure_Ortrancl(A,D)).
% 7.48/7.53 ** KEPT (pick-wt=29): 156 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))|B=C|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f48(D,C,B,A),C),D).
% 7.48/7.53 ** KEPT (pick-wt=24): 157 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Otrancl(A,D))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D)).
% 7.48/7.53 ** KEPT (pick-wt=14): 158 [] c_Product__Type_OPair(A,B,C,D)!=c_Product__Type_OPair(A,B,E,F)|C=E.
% 7.48/7.53 ** KEPT (pick-wt=14): 159 [] c_Product__Type_OPair(A,B,C,D)!=c_Product__Type_OPair(A,B,E,F)|D=F.
% 7.48/7.53 Following clause subsumed by 158 during input processing: 0 [] c_Product__Type_OPair(A,B,C,D)!=c_Product__Type_OPair(A,B,E,F)|C=E.
% 7.48/7.53 Following clause subsumed by 159 during input processing: 0 [] c_Product__Type_OPair(A,B,C,D)!=c_Product__Type_OPair(A,B,E,F)|D=F.
% 7.48/7.53 ** KEPT (pick-wt=17): 160 [] c_Product__Type_OPair(A,B,C,D)=c_Product__Type_OPair(A,B,E,F)|C!=E|D!=F.
% 7.48/7.54 ** KEPT (pick-wt=15): 161 [] -hBOOL(hAPP(A,$f49(B,C,A)))|hBOOL(hAPP(A,c_Product__Type_OPair(C,B,D,E))).
% 7.48/7.54 ** KEPT (pick-wt=18): 162 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(A,c_Product__Type_OPair(C,D,$f51(D,C,A),$f50(D,C,A)))).
% 7.48/7.54 ** KEPT (pick-wt=26): 163 [] -c_Relation_Oantisym(A,B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,D),B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,D,C),B)|C=D.
% 7.48/7.54 Following clause subsumed by 163 during input processing: 0 [] -c_Relation_Oantisym(A,B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,D),B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,D,C),B)|C=D.
% 7.48/7.54 ** KEPT (pick-wt=10): 164 [] c_Relation_Oantisym(A,B)|$f53(B,A)!=$f52(B,A).
% 7.48/7.54 ** KEPT (pick-wt=17): 165 [] -hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),B,C),D))|hBOOL(hAPP(B,D))|hBOOL(hAPP(C,D)).
% 7.48/7.54 ** KEPT (pick-wt=13): 166 [] -hBOOL(hAPP(A,B))|hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(C,tc_HOL_Obool),D,A),B)).
% 7.48/7.54 ** KEPT (pick-wt=13): 167 [] -hBOOL(hAPP(A,B))|hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(C,tc_HOL_Obool),A,D),B)).
% 7.48/7.54 ** KEPT (pick-wt=17): 168 [] -c_member(A,B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,D))|c_member(A,B,C)|c_member(A,B,D).
% 7.48/7.54 ** KEPT (pick-wt=13): 169 [] -c_member(A,B,C)|c_member(A,B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),D,C)).
% 7.48/7.54 ** KEPT (pick-wt=13): 170 [] -c_member(A,B,C)|c_member(A,B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,D)).
% 7.48/7.54 ** KEPT (pick-wt=22): 171 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),D)|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Otrancl(A,D)).
% 7.48/7.54 ** KEPT (pick-wt=14): 172 [] -c_Relation_Oantisym(A,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(A,A),tc_HOL_Obool),B,c_Relation_OId(A)))|c_Relation_Oantisym(A,B).
% 7.48/7.54 ** KEPT (pick-wt=14): 173 [] c_Relation_Oantisym(A,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(A,A),tc_HOL_Obool),B,c_Relation_OId(A)))| -c_Relation_Oantisym(A,B).
% 7.48/7.54 ** KEPT (pick-wt=29): 174 [] -c_member(A,B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,D))| -hBOOL(hAPP(E,B))|c_member(A,$f54(E,D,C,A),C)|c_member(A,$f55(E,D,C,A),D).
% 7.48/7.54 ** KEPT (pick-wt=29): 175 [] -c_member(A,B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,D))| -hBOOL(hAPP(E,B))|c_member(A,$f54(E,D,C,A),C)|hBOOL(hAPP(E,$f55(E,D,C,A))).
% 7.48/7.54 ** KEPT (pick-wt=29): 176 [] -c_member(A,B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,D))| -hBOOL(hAPP(E,B))|hBOOL(hAPP(E,$f54(E,D,C,A)))|c_member(A,$f55(E,D,C,A),D).
% 7.48/7.54 ** KEPT (pick-wt=29): 177 [] -c_member(A,B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,D))| -hBOOL(hAPP(E,B))|hBOOL(hAPP(E,$f54(E,D,C,A)))|hBOOL(hAPP(E,$f55(E,D,C,A))).
% 7.48/7.54 ** KEPT (pick-wt=21): 178 [] c_member(A,$f56(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)).
% 7.48/7.54 ** KEPT (pick-wt=21): 179 [] c_member(A,$f56(B,C,D,A),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),D,C))| -c_member(A,E,C)| -hBOOL(hAPP(B,E)).
% 7.48/7.54 ** KEPT (pick-wt=16): 180 [] hBOOL(hAPP(A,$f56(A,B,C,D)))| -c_member(D,E,C)| -hBOOL(hAPP(A,E)).
% 7.48/7.54 ** KEPT (pick-wt=16): 181 [] hBOOL(hAPP(A,$f56(A,B,C,D)))| -c_member(D,E,B)| -hBOOL(hAPP(A,E)).
% 7.48/7.54 ** KEPT (pick-wt=21): 182 [] c_member(A,$f57(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)).
% 7.48/7.54 ** KEPT (pick-wt=21): 183 [] c_member(A,$f57(B,C,D,A),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),D,C))| -c_member(A,E,C)|hBOOL(hAPP(B,E)).
% 7.48/7.54 ** KEPT (pick-wt=16): 184 [] -hBOOL(hAPP(A,$f57(A,B,C,D)))| -c_member(D,E,C)|hBOOL(hAPP(A,E)).
% 7.48/7.54 ** KEPT (pick-wt=16): 185 [] -hBOOL(hAPP(A,$f57(A,B,C,D)))| -c_member(D,E,B)|hBOOL(hAPP(A,E)).
% 7.48/7.54 ** KEPT (pick-wt=29): 186 [] -c_member(A,B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,D))|hBOOL(hAPP(E,B))|c_member(A,$f58(E,D,C,A),C)|c_member(A,$f59(E,D,C,A),D).
% 7.48/7.54 ** KEPT (pick-wt=29): 187 [] -c_member(A,B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,D))|hBOOL(hAPP(E,B))|c_member(A,$f58(E,D,C,A),C)| -hBOOL(hAPP(E,$f59(E,D,C,A))).
% 7.48/7.54 ** KEPT (pick-wt=29): 188 [] -c_member(A,B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,D))|hBOOL(hAPP(E,B))| -hBOOL(hAPP(E,$f58(E,D,C,A)))|c_member(A,$f59(E,D,C,A),D).
% 7.48/7.54 ** KEPT (pick-wt=29): 189 [] -c_member(A,B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,D))|hBOOL(hAPP(E,B))| -hBOOL(hAPP(E,$f58(E,D,C,A)))| -hBOOL(hAPP(E,$f59(E,D,C,A))).
% 7.48/7.54 Following clause subsumed by 167 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)).
% 7.48/7.54 Following clause subsumed by 166 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)).
% 7.48/7.54 ** KEPT (pick-wt=24): 190 [] -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)).
% 7.48/7.54 Following clause subsumed by 168 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).
% 7.48/7.54 Following clause subsumed by 170 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).
% 7.48/7.54 Following clause subsumed by 169 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).
% 7.48/7.54 Following clause subsumed by 170 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)).
% 7.48/7.54 Following clause subsumed by 169 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)).
% 7.48/7.54 ** KEPT (pick-wt=14): 191 [] -c_member(tc_prod(A,A),B,C)|c_member(tc_prod(A,A),B,c_Transitive__Closure_Otrancl(A,C)).
% 7.48/7.54 ** KEPT (pick-wt=8): 192 [] -c_Relation_Otrans(A,B)|c_Transitive__Closure_Otrancl(A,B)=B.
% 7.48/7.54 ** 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)).
% 7.48/7.54 ** 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)).
% 7.48/7.54 ** 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)).
% 7.48/7.54 ** 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)).
% 7.48/7.54 ** KEPT (pick-wt=23): 197 [] -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))).
% 7.48/7.54 ** KEPT (pick-wt=23): 198 [] -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))).
% 7.48/7.54 ** KEPT (pick-wt=14): 199 [] -c_Relation_Otrans(A,B)|c_Relation_Otrans(A,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(A,A),tc_HOL_Obool),B,c_Relation_OId(A))).
% 7.48/7.54 ** KEPT (pick-wt=27): 200 [] -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)).
% 7.48/7.54 ** KEPT (pick-wt=15): 201 [] c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))|B!=C.
% 7.48/7.54 Following clause subsumed by 157 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)).
% 7.48/7.54 ** KEPT (pick-wt=34): 202 [] -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)).
% 7.48/7.54 Following clause subsumed by 200 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)).
% 7.48/7.54 ** KEPT (pick-wt=34): 203 [] -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)).
% 7.48/7.54 ** KEPT (pick-wt=36): 204 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Otrancl(A,D))| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,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)).
% 7.48/7.54 ** KEPT (pick-wt=36): 205 [] -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)).
% 7.48/7.54 ** KEPT (pick-wt=19): 206 [] -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)).
% 7.48/7.54 ** KEPT (pick-wt=10): 207 [] -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).
% 7.48/7.54 ** KEPT (pick-wt=10): 208 [] -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).
% 7.48/7.54 ** KEPT (pick-wt=8): 209 [] -c_Order__Relation_Opartial__order__on(A,B,C)|c_Order__Relation_Opreorder__on(A,B,C).
% 7.48/7.54 ** KEPT (pick-wt=7): 210 [] -c_Order__Relation_Opartial__order__on(A,B,C)|c_Relation_Oantisym(A,C).
% 7.48/7.54 ** KEPT (pick-wt=11): 211 [] c_Order__Relation_Opartial__order__on(A,B,C)| -c_Order__Relation_Opreorder__on(A,B,C)| -c_Relation_Oantisym(A,C).
% 7.48/7.54 ** KEPT (pick-wt=48): 212 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(A,A),tc_HOL_Obool),D,E)))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f61(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)).
% 7.48/7.54 ** KEPT (pick-wt=51): 213 [] -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,$f60(E,D,C,B,A),$f61(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)).
% 7.48/7.54 ** KEPT (pick-wt=44): 215 [copy,214,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)))|$f61(E,D,C,B,A)!=$f60(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)).
% 7.48/7.54 ** KEPT (pick-wt=48): 216 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(A,A),tc_HOL_Obool),D,E)))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,$f63(E,D,C,B,A)),c_Transitive__Closure_Ortrancl(A,D))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D)).
% 7.48/7.54 ** KEPT (pick-wt=51): 217 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(A,A),tc_HOL_Obool),D,E)))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f63(E,D,C,B,A),$f62(E,D,C,B,A)),E)|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D)).
% 7.48/7.54 ** KEPT (pick-wt=44): 218 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(A,A),tc_HOL_Obool),D,E)))|$f63(E,D,C,B,A)!=$f62(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)).
% 7.48/7.54 ** KEPT (pick-wt=8): 219 [] -class_Lattices_Osemilattice__sup(A)|c_Lattices_Osemilattice__sup__class_Osup(A,B,B)=B.
% 7.48/7.54 Following clause subsumed by 219 during input processing: 0 [] -class_Lattices_Osemilattice__sup(A)|c_Lattices_Osemilattice__sup__class_Osup(A,B,B)=B.
% 7.48/7.54 ** KEPT (pick-wt=11): 220 [] -class_Lattices_Osemilattice__sup(A)|c_Lattices_Osemilattice__sup__class_Osup(A,B,C)=c_Lattices_Osemilattice__sup__class_Osup(A,C,B).
% 7.48/7.54 ** KEPT (pick-wt=11): 221 [] -class_Lattices_Olattice(A)|c_Lattices_Osemilattice__sup__class_Osup(A,B,C)=c_Lattices_Osemilattice__sup__class_Osup(A,C,B).
% 7.48/7.54 Following clause subsumed by 220 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).
% 7.48/7.54 ** KEPT (pick-wt=14): 222 [] -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).
% 7.48/7.54 ** KEPT (pick-wt=14): 223 [] -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).
% 7.48/7.54 Following clause subsumed by 222 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).
% 7.48/7.54 ** KEPT (pick-wt=17): 224 [] -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)).
% 7.48/7.54 ** KEPT (pick-wt=17): 225 [] -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)).
% 7.48/7.54 Following clause subsumed by 224 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)).
% 7.48/7.54 ** KEPT (pick-wt=17): 226 [] -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)).
% 7.48/7.54 ** KEPT (pick-wt=17): 227 [] -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)).
% 7.48/7.54 Following clause subsumed by 226 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)).
% 7.48/7.54 ** KEPT (pick-wt=8): 228 [] -c_Order__Relation_Olinear__order__on(A,B,C)|c_Order__Relation_Opartial__order__on(A,B,C).
% 7.48/7.54 ** KEPT (pick-wt=8): 229 [] -c_Order__Relation_Olinear__order__on(A,B,C)|c_Relation_Ototal__on(A,B,C).
% 7.48/7.54 ** KEPT (pick-wt=12): 230 [] c_Order__Relation_Olinear__order__on(A,B,C)| -c_Order__Relation_Opartial__order__on(A,B,C)| -c_Relation_Ototal__on(A,B,C).
% 7.48/7.54 ** KEPT (pick-wt=26): 231 [] -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,$f64(D,C,B,A)),D).
% 7.48/7.54 ** KEPT (pick-wt=28): 232 [] -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,$f64(D,C,B,A),C),c_Transitive__Closure_Ortrancl(A,D)).
% 7.48/7.54 ** KEPT (pick-wt=28): 233 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Otrancl(A,D))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,$f65(D,C,B,A)),c_Transitive__Closure_Ortrancl(A,D)).
% 7.48/7.54 ** KEPT (pick-wt=26): 234 [] -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,$f65(D,C,B,A),C),D).
% 7.48/7.54 ** KEPT (pick-wt=15): 235 [] -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)).
% 7.48/7.54 ** KEPT (pick-wt=10): 236 [] $f68(A,B)!=$f67(A,B)|c_Relation_Oantisym(B,A).
% 7.48/7.54 ** KEPT (pick-wt=8): 237 [] -c_Wellfounded_Oacyclic(A,B)|c_Relation_Oantisym(A,c_Transitive__Closure_Ortrancl(A,B)).
% 7.48/7.54 ** KEPT (pick-wt=16): 238 [] -c_Order__Relation_Olinear__order__on(A,B,C)|c_Order__Relation_Ostrict__linear__order__on(A,B,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(A,A),tc_HOL_Obool),C,c_Relation_OId(A))).
% 7.48/7.54 ** KEPT (pick-wt=15): 239 [] -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).
% 7.48/7.54 ** KEPT (pick-wt=24): 240 [] -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)).
% 7.48/7.54 ** KEPT (pick-wt=27): 241 [] 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)).
% 7.48/7.54 ** KEPT (pick-wt=33): 242 [] c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f70(B,C,D,A),$f70(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.
% 7.48/7.54 ** KEPT (pick-wt=11): 243 [] -c_member(A,B,C)|c_member(A,B,c_Set_Oinsert(A,D,C)).
% 7.48/7.54 ** KEPT (pick-wt=10): 244 [] A!=B|c_member(C,A,c_Set_Oinsert(C,B,D)).
% 7.48/7.54 ** KEPT (pick-wt=14): 245 [] -c_member(A,B,c_Set_Oinsert(A,C,D))|B=C|c_member(A,B,D).
% 7.48/7.54 ** KEPT (pick-wt=13): 246 [] -c_member(A,B,c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),C,D))|c_member(A,B,C).
% 7.48/7.54 ** KEPT (pick-wt=13): 247 [] -c_member(A,B,c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),C,D))| -c_member(A,B,D).
% 7.48/7.54 ** KEPT (pick-wt=17): 248 [] -c_member(A,B,C)|c_member(A,B,D)|c_member(A,B,c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),C,D)).
% 7.48/7.54 Following clause subsumed by 246 during input processing: 0 [] -c_member(A,B,c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),C,D))|c_member(A,B,C).
% 7.48/7.54 Following clause subsumed by 247 during input processing: 0 [] -c_member(A,B,c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),C,D))| -c_member(A,B,D).
% 7.48/7.54 Following clause subsumed by 248 during input processing: 0 [] c_member(A,B,c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),C,D))| -c_member(A,B,C)|c_member(A,B,D).
% 7.48/7.54 Following clause subsumed by 246 during input processing: 0 [] -c_member(A,B,c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),C,D))|c_member(A,B,C).
% 7.48/7.54 Following clause subsumed by 247 during input processing: 0 [] -c_member(A,B,c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),C,D))| -c_member(A,B,D).
% 7.48/7.54 Following clause subsumed by 245 during input processing: 0 [] -c_member(A,B,c_Set_Oinsert(A,C,D))|B=C|c_member(A,B,D).
% 7.48/7.54 Following clause subsumed by 244 during input processing: 0 [] c_member(A,B,c_Set_Oinsert(A,C,D))|B!=C.
% 7.48/7.54 Following clause subsumed by 243 during input processing: 0 [] c_member(A,B,c_Set_Oinsert(A,C,D))| -c_member(A,B,D).
% 7.48/7.54 ** KEPT (pick-wt=20): 249 [] c_member(A,B,C)|c_member(A,B,D)|c_Set_Oinsert(A,B,C)!=c_Set_Oinsert(A,B,D)|C=D.
% 7.48/7.54 ** KEPT (pick-wt=20): 250 [] c_member(A,B,C)|c_member(A,B,D)|c_Set_Oinsert(A,B,C)=c_Set_Oinsert(A,B,D)|C!=D.
% 7.48/7.54 Following clause subsumed by 243 during input processing: 0 [] -c_member(A,B,C)|c_member(A,B,c_Set_Oinsert(A,D,C)).
% 7.48/7.54 ** KEPT (pick-wt=10): 251 [] -c_member(A,B,C)|c_Set_Oinsert(A,B,C)=C.
% 7.48/7.54 ** KEPT (pick-wt=20): 252 [] -c_member(A,B,C)|c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),c_Set_Oinsert(A,B,D),C)=c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),D,C).
% 7.48/7.54 Following clause subsumed by 252 during input processing: 0 [] -c_member(A,B,C)|c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),c_Set_Oinsert(A,B,D),C)=c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),D,C).
% 7.48/7.54 ** KEPT (pick-wt=14): 253 [] -hBOOL(hAPP(c_Set_Oinsert(A,B,C),D))|B=D|hBOOL(hAPP(C,D)).
% 7.48/7.54 ** KEPT (pick-wt=10): 254 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),D))|B!=D.
% 7.48/7.54 ** KEPT (pick-wt=11): 255 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),D))| -hBOOL(hAPP(C,D)).
% 7.48/7.54 ** KEPT (pick-wt=19): 256 [] -class_Groups_Ominus(A)|hAPP(c_Groups_Ominus__class_Ominus(tc_fun(B,A),C,D),E)=c_Groups_Ominus__class_Ominus(A,hAPP(C,E),hAPP(D,E)).
% 7.48/7.54 ** KEPT (pick-wt=16): 257 [] -c_Relation_Ototal__on(A,B,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(A,A),tc_HOL_Obool),C,c_Relation_OId(A)))|c_Relation_Ototal__on(A,B,C).
% 7.48/7.54 ** KEPT (pick-wt=16): 258 [] c_Relation_Ototal__on(A,B,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(A,A),tc_HOL_Obool),C,c_Relation_OId(A)))| -c_Relation_Ototal__on(A,B,C).
% 7.48/7.54 ** KEPT (pick-wt=17): 259 [] -c_Relation_Otrans(A,B)| -c_Relation_Oantisym(A,B)|c_Relation_Otrans(A,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(A,A),tc_HOL_Obool),B,c_Relation_OId(A))).
% 7.48/7.54 ** KEPT (pick-wt=15): 260 [] -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).
% 7.48/7.54 ** KEPT (pick-wt=24): 261 [] -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)).
% 7.48/7.54 ** KEPT (pick-wt=27): 262 [] 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)).
% 7.48/7.54 ** KEPT (pick-wt=38): 263 [] -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,$f71(D,C,B,A)),c_Transitive__Closure_Otrancl(A,D)).
% 7.48/7.54 ** KEPT (pick-wt=36): 264 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Otrancl(A,D))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),D)|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f71(D,C,B,A),C),D).
% 7.48/7.54 ** KEPT (pick-wt=36): 265 [] -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,$f72(D,C,B,A)),D).
% 7.48/7.54 ** KEPT (pick-wt=38): 266 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Otrancl(A,D))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),D)|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f72(D,C,B,A),C),c_Transitive__Closure_Otrancl(A,D)).
% 7.48/7.54 ** KEPT (pick-wt=6): 267 [] -class_Orderings_Opreorder(A)|c_Orderings_Oord__class_Oless__e_q(A,B,B).
% 7.48/7.54 ** KEPT (pick-wt=15): 268 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),B,C)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),C,B)|B=C.
% 7.48/7.54 ** KEPT (pick-wt=7): 269 [] -c_member(A,B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))).
% 7.48/7.54 ** KEPT (pick-wt=14): 270 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),B,C)| -c_member(A,D,B)|c_member(A,D,C).
% 7.48/7.54 ** KEPT (pick-wt=10): 271 [] -c_Wellfounded_Owf(A,B)|c_Wellfounded_Owf(C,c_Relation_Oinv__image(A,C,B,D)).
% 7.48/7.54 ** KEPT (pick-wt=15): 272 [] -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)).
% 7.48/7.54 ** KEPT (pick-wt=27): 273 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),B,c_Set_Oinsert(A,C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))))|B=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))|B=c_Set_Oinsert(A,C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))).
% 7.48/7.54 ** KEPT (pick-wt=18): 274 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(A,A),tc_HOL_Obool),B,C)|c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),c_Relation_OField(A,B),c_Relation_OField(A,C)).
% 7.48/7.54 Following clause subsumed by 270 during input processing: 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),B,C)| -c_member(A,D,B)|c_member(A,D,C).
% 7.48/7.54 Following clause subsumed by 270 during input processing: 0 [] -c_member(A,B,C)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),C,D)|c_member(A,B,D).
% 7.48/7.54 Following clause subsumed by 270 during input processing: 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),B,C)| -c_member(A,D,B)|c_member(A,D,C).
% 7.48/7.54 ** KEPT (pick-wt=18): 275 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(A,A),tc_HOL_Obool),B,C)|c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),c_Wellfounded_Oacc(A,C),c_Wellfounded_Oacc(A,B)).
% 7.48/7.54 ** KEPT (pick-wt=17): 276 [] 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)).
% 7.48/7.54 ** KEPT (pick-wt=17): 277 [] 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)).
% 7.48/7.54 ** KEPT (pick-wt=17): 278 [] 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)).
% 7.48/7.54 ** KEPT (pick-wt=17): 279 [] 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)).
% 7.48/7.54 ** KEPT (pick-wt=14): 280 [] -c_Wellfounded_Owf(A,B)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(A,A),tc_HOL_Obool),C,B)|c_Wellfounded_Owf(A,C).
% 7.48/7.54 ** KEPT (pick-wt=7): 281 [] -class_Orderings_Obot(A)|c_Orderings_Oord__class_Oless__e_q(A,c_Orderings_Obot__class_Obot(A),B).
% 7.48/7.54 ** KEPT (pick-wt=11): 282 [] -class_Orderings_Obot(A)|hAPP(c_Orderings_Obot__class_Obot(tc_fun(B,A)),C)=c_Orderings_Obot__class_Obot(A).
% 7.48/7.54 ** KEPT (pick-wt=15): 283 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)))|B=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)).
% 7.48/7.54 ** KEPT (pick-wt=15): 284 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)))|B!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)).
% 7.48/7.54 ** KEPT (pick-wt=16): 285 [] -class_Orderings_Oord(A)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(B,A),C,D)|c_Orderings_Oord__class_Oless__e_q(A,hAPP(C,E),hAPP(D,E)).
% 7.48/7.54 ** KEPT (pick-wt=24): 286 [] -class_Orderings_Oord(A)|c_Orderings_Oord__class_Oless__e_q(tc_fun(B,A),C,D)| -c_Orderings_Oord__class_Oless__e_q(A,hAPP(C,$f73(D,C,B,A)),hAPP(D,$f73(D,C,B,A))).
% 7.48/7.54 ** KEPT (pick-wt=10): 287 [] -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless__e_q(A,B,C)|c_Orderings_Oord__class_Oless__e_q(A,C,B).
% 7.48/7.54 ** KEPT (pick-wt=9): 288 [] A!=B|c_Orderings_Oord__class_Oless__e_q(tc_fun(C,tc_HOL_Obool),A,B).
% 7.48/7.54 ** KEPT (pick-wt=9): 289 [] A!=B|c_Orderings_Oord__class_Oless__e_q(tc_fun(C,tc_HOL_Obool),B,A).
% 7.48/7.54 Following clause subsumed by 268 during input processing: 0 [] A=B| -c_Orderings_Oord__class_Oless__e_q(tc_fun(C,tc_HOL_Obool),A,B)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(C,tc_HOL_Obool),B,A).
% 7.48/7.54 ** KEPT (pick-wt=9): 290 [] -class_Orderings_Oorder(A)|B!=C|c_Orderings_Oord__class_Oless__e_q(A,B,C).
% 7.48/7.54 ** KEPT (pick-wt=9): 291 [] -class_Orderings_Oorder(A)|B!=C|c_Orderings_Oord__class_Oless__e_q(A,C,B).
% 7.48/7.54 ** KEPT (pick-wt=13): 292 [] -class_Orderings_Oorder(A)|B=C| -c_Orderings_Oord__class_Oless__e_q(A,B,C)| -c_Orderings_Oord__class_Oless__e_q(A,C,B).
% 7.48/7.54 ** KEPT (pick-wt=14): 293 [] -hBOOL(hAPP(A,B))| -c_Orderings_Oord__class_Oless__e_q(tc_fun(C,tc_HOL_Obool),A,D)|hBOOL(hAPP(D,B)).
% 7.48/7.54 Following clause subsumed by 288 during input processing: 0 [] A!=B|c_Orderings_Oord__class_Oless__e_q(tc_fun(C,tc_HOL_Obool),A,B).
% 7.48/7.55 Following clause subsumed by 289 during input processing: 0 [] A!=B|c_Orderings_Oord__class_Oless__e_q(tc_fun(C,tc_HOL_Obool),B,A).
% 7.48/7.55 ** KEPT (pick-wt=9): 294 [] -class_Orderings_Opreorder(A)|B!=C|c_Orderings_Oord__class_Oless__e_q(A,B,C).
% 7.48/7.55 Following clause subsumed by 285 during input processing: 0 [] -class_Orderings_Oord(A)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(B,A),C,D)|c_Orderings_Oord__class_Oless__e_q(A,hAPP(C,E),hAPP(D,E)).
% 7.48/7.55 Following clause subsumed by 292 during input processing: 0 [] -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,C)| -c_Orderings_Oord__class_Oless__e_q(A,C,B)|C=B.
% 7.48/7.55 Following clause subsumed by 290 during input processing: 0 [] -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,C)|c_Orderings_Oord__class_Oless__e_q(A,C,B)|C!=B.
% 7.48/7.55 Following clause subsumed by 293 during input processing: 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),B,C)| -hBOOL(hAPP(B,D))|hBOOL(hAPP(C,D)).
% 7.48/7.55 ** KEPT (pick-wt=13): 295 [] -class_Orderings_Oord(A)|B!=C| -c_Orderings_Oord__class_Oless__e_q(A,C,D)|c_Orderings_Oord__class_Oless__e_q(A,B,D).
% 7.48/7.55 ** KEPT (pick-wt=13): 296 [] -class_Orderings_Oorder(A)|B!=C| -c_Orderings_Oord__class_Oless__e_q(A,D,C)|c_Orderings_Oord__class_Oless__e_q(A,D,B).
% 7.48/7.55 ** KEPT (pick-wt=18): 297 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),B,C)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),C,D)|c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),B,D).
% 7.48/7.55 ** KEPT (pick-wt=13): 298 [] -class_Orderings_Oord(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,C)|C!=D|c_Orderings_Oord__class_Oless__e_q(A,B,D).
% 7.48/7.55 ** KEPT (pick-wt=13): 299 [] -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,C)|B!=D|c_Orderings_Oord__class_Oless__e_q(A,D,C).
% 7.48/7.55 Following clause subsumed by 292 during input processing: 0 [] -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,C)| -c_Orderings_Oord__class_Oless__e_q(A,C,B)|B=C.
% 7.48/7.55 ** KEPT (pick-wt=14): 300 [] -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,C)| -c_Orderings_Oord__class_Oless__e_q(A,C,D)|c_Orderings_Oord__class_Oless__e_q(A,B,D).
% 7.48/7.55 Following clause subsumed by 292 during input processing: 0 [] -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,C)| -c_Orderings_Oord__class_Oless__e_q(A,C,B)|C=B.
% 7.48/7.55 ** KEPT (pick-wt=14): 301 [] -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,C)| -c_Orderings_Oord__class_Oless__e_q(A,D,B)|c_Orderings_Oord__class_Oless__e_q(A,D,C).
% 7.48/7.55 Following clause subsumed by 288 during input processing: 0 [] A!=B|c_Orderings_Oord__class_Oless__e_q(tc_fun(C,tc_HOL_Obool),A,B).
% 7.48/7.55 Following clause subsumed by 289 during input processing: 0 [] A!=B|c_Orderings_Oord__class_Oless__e_q(tc_fun(C,tc_HOL_Obool),B,A).
% 7.48/7.55 Following clause subsumed by 285 during input processing: 0 [] -class_Orderings_Oord(A)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(B,A),C,D)|c_Orderings_Oord__class_Oless__e_q(A,hAPP(C,E),hAPP(D,E)).
% 7.48/7.55 Following clause subsumed by 287 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless__e_q(A,B,C)|c_Orderings_Oord__class_Oless__e_q(A,C,B).
% 7.48/7.55 ** KEPT (pick-wt=20): 302 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(A,B),tc_HOL_Obool),C,D)|c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),c_Relation_ODomain(A,B,C),c_Relation_ODomain(A,B,D)).
% 7.48/7.55 ** KEPT (pick-wt=9): 303 [] -class_Lattices_Olattice(A)|c_Orderings_Oord__class_Oless__e_q(A,B,c_Lattices_Osemilattice__sup__class_Osup(A,B,C)).
% 7.48/7.55 ** KEPT (pick-wt=9): 304 [] -class_Lattices_Osemilattice__sup(A)|c_Orderings_Oord__class_Oless__e_q(A,B,c_Lattices_Osemilattice__sup__class_Osup(A,B,C)).
% 7.48/7.55 ** KEPT (pick-wt=9): 305 [] -class_Lattices_Olattice(A)|c_Orderings_Oord__class_Oless__e_q(A,B,c_Lattices_Osemilattice__sup__class_Osup(A,C,B)).
% 7.48/7.55 ** KEPT (pick-wt=9): 306 [] -class_Lattices_Osemilattice__sup(A)|c_Orderings_Oord__class_Oless__e_q(A,B,c_Lattices_Osemilattice__sup__class_Osup(A,C,B)).
% 7.48/7.55 ** KEPT (pick-wt=12): 307 [] -class_Lattices_Osemilattice__sup(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,C)|c_Lattices_Osemilattice__sup__class_Osup(A,B,C)=C.
% 7.55/7.55 ** KEPT (pick-wt=12): 308 [] -class_Lattices_Osemilattice__sup(A)|c_Orderings_Oord__class_Oless__e_q(A,B,C)|c_Lattices_Osemilattice__sup__class_Osup(A,B,C)!=C.
% 7.55/7.55 ** KEPT (pick-wt=13): 309 [] -class_Lattices_Osemilattice__sup(A)| -c_Orderings_Oord__class_Oless__e_q(A,c_Lattices_Osemilattice__sup__class_Osup(A,B,C),D)|c_Orderings_Oord__class_Oless__e_q(A,B,D).
% 7.55/7.55 ** KEPT (pick-wt=13): 310 [] -class_Lattices_Osemilattice__sup(A)| -c_Orderings_Oord__class_Oless__e_q(A,c_Lattices_Osemilattice__sup__class_Osup(A,B,C),D)|c_Orderings_Oord__class_Oless__e_q(A,C,D).
% 7.55/7.55 ** KEPT (pick-wt=17): 311 [] -class_Lattices_Osemilattice__sup(A)|c_Orderings_Oord__class_Oless__e_q(A,c_Lattices_Osemilattice__sup__class_Osup(A,B,C),D)| -c_Orderings_Oord__class_Oless__e_q(A,B,D)| -c_Orderings_Oord__class_Oless__e_q(A,C,D).
% 7.55/7.55 ** KEPT (pick-wt=13): 312 [] -class_Lattices_Osemilattice__sup(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,C)|c_Orderings_Oord__class_Oless__e_q(A,B,c_Lattices_Osemilattice__sup__class_Osup(A,C,D)).
% 7.55/7.55 ** KEPT (pick-wt=13): 313 [] -class_Lattices_Osemilattice__sup(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,C)|c_Orderings_Oord__class_Oless__e_q(A,B,c_Lattices_Osemilattice__sup__class_Osup(A,D,C)).
% 7.55/7.55 Following clause subsumed by 307 during input processing: 0 [] -class_Lattices_Osemilattice__sup(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,C)|c_Lattices_Osemilattice__sup__class_Osup(A,B,C)=C.
% 7.55/7.55 ** KEPT (pick-wt=12): 314 [] -class_Lattices_Osemilattice__sup(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,C)|c_Lattices_Osemilattice__sup__class_Osup(A,C,B)=C.
% 7.55/7.55 Following clause subsumed by 311 during input processing: 0 [] -class_Lattices_Osemilattice__sup(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,C)| -c_Orderings_Oord__class_Oless__e_q(A,D,C)|c_Orderings_Oord__class_Oless__e_q(A,c_Lattices_Osemilattice__sup__class_Osup(A,B,D),C).
% 7.55/7.55 Following clause subsumed by 311 during input processing: 0 [] -class_Lattices_Osemilattice__sup(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,C)| -c_Orderings_Oord__class_Oless__e_q(A,D,C)|c_Orderings_Oord__class_Oless__e_q(A,c_Lattices_Osemilattice__sup__class_Osup(A,B,D),C).
% 7.55/7.55 ** KEPT (pick-wt=20): 315 [] -class_Lattices_Osemilattice__sup(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,C)| -c_Orderings_Oord__class_Oless__e_q(A,D,E)|c_Orderings_Oord__class_Oless__e_q(A,c_Lattices_Osemilattice__sup__class_Osup(A,B,D),c_Lattices_Osemilattice__sup__class_Osup(A,C,E)).
% 7.55/7.55 Following clause subsumed by 309 during input processing: 0 [] -class_Lattices_Osemilattice__sup(A)| -c_Orderings_Oord__class_Oless__e_q(A,c_Lattices_Osemilattice__sup__class_Osup(A,B,C),D)|c_Orderings_Oord__class_Oless__e_q(A,B,D).
% 7.55/7.55 Following clause subsumed by 310 during input processing: 0 [] -class_Lattices_Osemilattice__sup(A)| -c_Orderings_Oord__class_Oless__e_q(A,c_Lattices_Osemilattice__sup__class_Osup(A,B,C),D)|c_Orderings_Oord__class_Oless__e_q(A,C,D).
% 7.55/7.55 ** KEPT (pick-wt=10): 316 [] -c_member(A,B,C)|C!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)).
% 7.55/7.55 Following clause subsumed by 316 during input processing: 0 [] -c_member(A,B,C)|C!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)).
% 7.55/7.55 Following clause subsumed by 269 during input processing: 0 [] -c_member(A,B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))).
% 7.55/7.55 Following clause subsumed by 316 during input processing: 0 [] A!=c_Orderings_Obot__class_Obot(tc_fun(B,tc_HOL_Obool))| -c_member(B,C,A).
% 7.55/7.55 ** KEPT (pick-wt=7): 317 [] -class_Orderings_Otop(A)|c_Orderings_Oord__class_Oless__e_q(A,B,c_Orderings_Otop__class_Otop(A)).
% 7.55/7.55 ** KEPT (pick-wt=15): 318 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),B,C)|c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),B,c_Set_Oinsert(A,D,C)).
% 7.55/7.55 ** KEPT (pick-wt=18): 319 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),B,C)|c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),c_Set_Oinsert(A,D,B),c_Set_Oinsert(A,D,C)).
% 7.55/7.55 ** KEPT (pick-wt=14): 320 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),B,C)|c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),B,C)=C.
% 7.55/7.55 ** KEPT (pick-wt=14): 321 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),B,C)|c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),B,C)!=C.
% 7.55/7.55 Following clause subsumed by 320 during input processing: 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),B,C)|c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),B,C)=C.
% 7.55/7.55 ** KEPT (pick-wt=14): 322 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),B,C)|c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,B)=C.
% 7.55/7.55 ** KEPT (pick-wt=23): 323 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),B,C)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),D,C)|c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),B,D),C).
% 7.55/7.55 ** KEPT (pick-wt=28): 324 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),B,C)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),D,E)|c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),B,D),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,E)).
% 7.55/7.55 ** KEPT (pick-wt=28): 325 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),B,C)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),D,E)|c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),B,E),c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),C,D)).
% 7.55/7.55 ** KEPT (pick-wt=25): 326 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),B,C)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),C,D)|c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),C,c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),D,B))=B.
% 7.55/7.55 ** KEPT (pick-wt=9): 327 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))!=c_Set_Oinsert(A,B,C).
% 7.55/7.55 ** KEPT (pick-wt=9): 328 [] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)).
% 7.55/7.55 ** KEPT (pick-wt=27): 329 [] 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.
% 7.55/7.55 ** KEPT (pick-wt=27): 330 [] 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.
% 7.55/7.55 ** KEPT (pick-wt=27): 331 [] 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.
% 7.55/7.55 ** KEPT (pick-wt=27): 332 [] 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.
% 7.55/7.55 ** KEPT (pick-wt=27): 333 [] 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.
% 7.55/7.55 ** KEPT (pick-wt=27): 334 [] 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.
% 7.55/7.55 ** KEPT (pick-wt=18): 335 [] 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.
% 7.55/7.55 ** KEPT (pick-wt=8): 336 [] -c_Wellfounded_Owf(A,B)|c_Wellfounded_Owf(A,c_Transitive__Closure_Otrancl(A,B)).
% 7.55/7.55 ** KEPT (pick-wt=9): 337 [] c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool))!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)).
% 7.55/7.55 ** KEPT (pick-wt=17): 338 [] 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)).
% 7.55/7.55 ** KEPT (pick-wt=17): 339 [] 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)).
% 7.55/7.55 ** KEPT (pick-wt=23): 340 [] 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)).
% 7.55/7.55 ** KEPT (pick-wt=22): 341 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(A,A),tc_HOL_Obool),B,c_Transitive__Closure_Ortrancl(A,C))|c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(A,A),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(A,B),c_Transitive__Closure_Ortrancl(A,C)).
% 7.55/7.55 ** KEPT (pick-wt=25): 342 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(A,A),tc_HOL_Obool),B,C)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(A,A),tc_HOL_Obool),C,c_Transitive__Closure_Ortrancl(A,B))|c_Transitive__Closure_Ortrancl(A,C)=c_Transitive__Closure_Ortrancl(A,B).
% 7.55/7.55 ** KEPT (pick-wt=20): 343 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(A,A),tc_HOL_Obool),B,C)|c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(A,A),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(A,B),c_Transitive__Closure_Ortrancl(A,C)).
% 7.55/7.55 ** KEPT (pick-wt=6): 344 [] -c_Wellfounded_Owf(A,B)|c_Wellfounded_Oacyclic(A,B).
% 7.55/7.55 ** KEPT (pick-wt=14): 345 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(A,A),tc_HOL_Obool),B,C)| -c_Relation_Oantisym(A,C)|c_Relation_Oantisym(A,B).
% 7.55/7.55 ** KEPT (pick-wt=14): 346 [] -c_Wellfounded_Oacyclic(A,B)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(A,A),tc_HOL_Obool),C,B)|c_Wellfounded_Oacyclic(A,C).
% 7.55/7.55 ** KEPT (pick-wt=16): 347 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(A,B),tc_HOL_Obool),C,D)| -c_Relation_Osingle__valued(A,B,D)|c_Relation_Osingle__valued(A,B,C).
% 7.55/7.55 ** KEPT (pick-wt=30): 348 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),B,c_Set_Oinsert(A,C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)))),D)| -c_member(A,C,B)|c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),B,c_Set_Oinsert(A,C,D)).
% 7.55/7.55 ** KEPT (pick-wt=30): 349 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),B,c_Set_Oinsert(A,C,D))| -c_member(A,C,B)|c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),B,c_Set_Oinsert(A,C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)))),D).
% 7.55/7.55 ** KEPT (pick-wt=19): 350 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),B,c_Set_Oinsert(A,C,D))|c_member(A,C,B)|c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),B,D).
% 7.55/7.55 Following clause subsumed by 318 during input processing: 0 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),B,c_Set_Oinsert(A,C,D))|c_member(A,C,B)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),B,D).
% 7.55/7.55 Following clause subsumed by 348 during input processing: 0 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),B,c_Set_Oinsert(A,C,D))| -c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),B,c_Set_Oinsert(A,C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)))),D)| -c_member(A,C,B).
% 7.55/7.55 Following clause subsumed by 318 during input processing: 0 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),B,c_Set_Oinsert(A,C,D))| -c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),B,c_Set_Oinsert(A,C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)))),D)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),B,D).
% 7.55/7.55 ** KEPT (pick-wt=13): 351 [] -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).
% 7.55/7.55 ** KEPT (pick-wt=13): 352 [] -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).
% 7.55/7.55 ** KEPT (pick-wt=17): 353 [] -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).
% 7.55/7.55 ** KEPT (pick-wt=9): 354 [] -class_Lattices_Obounded__lattice__bot(A)|c_Lattices_Osemilattice__sup__class_Osup(A,B,c_Orderings_Obot__class_Obot(A))=B.
% 7.55/7.55 ** KEPT (pick-wt=9): 355 [] -class_Lattices_Obounded__lattice__bot(A)|c_Lattices_Osemilattice__sup__class_Osup(A,c_Orderings_Obot__class_Obot(A),B)=B.
% 7.55/7.55 ** KEPT (pick-wt=13): 356 [] -c_Wellfounded_Owf(A,B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,C),B).
% 7.55/7.55 ** KEPT (pick-wt=23): 357 [] -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).
% 7.55/7.55 Following clause subsumed by 357 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).
% 7.55/7.55 Following clause subsumed by 356 during input processing: 0 [] -c_Wellfounded_Owf(A,B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,C),B).
% 7.55/7.55 ** KEPT (pick-wt=13): 358 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),c_Set_Oinsert(A,B,C),D)|c_member(A,B,D).
% 7.55/7.55 ** KEPT (pick-wt=15): 359 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),c_Set_Oinsert(A,B,C),D)|c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),C,D).
% 7.55/7.55 ** KEPT (pick-wt=19): 360 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),c_Set_Oinsert(A,B,C),D)| -c_member(A,B,D)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),C,D).
% 7.55/7.55 Following clause subsumed by 350 during input processing: 0 [] c_member(A,B,C)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),C,c_Set_Oinsert(A,B,D))|c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),C,D).
% 7.55/7.55 Following clause subsumed by 318 during input processing: 0 [] c_member(A,B,C)|c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),C,c_Set_Oinsert(A,B,D))| -c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),C,D).
% 7.55/7.55 ** KEPT (pick-wt=13): 361 [] -c_member(A,B,c_Set_Oinsert(A,C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))))|B=C.
% 7.55/7.55 Following clause subsumed by 244 during input processing: 0 [] c_member(A,B,c_Set_Oinsert(A,C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))))|B!=C.
% 7.55/7.55 Following clause subsumed by 361 during input processing: 0 [] -c_member(A,B,c_Set_Oinsert(A,C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))))|B=C.
% 7.55/7.55 ** KEPT (pick-wt=22): 362 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),B,C),D)|c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,D)).
% 7.55/7.55 ** KEPT (pick-wt=22): 363 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),B,C),D)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,D)).
% 7.55/7.55 ** KEPT (pick-wt=19): 364 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),B,C)|c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),B,c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),C,B))=C.
% 7.55/7.55 ** KEPT (pick-wt=9): 365 [] -c_Wellfounded_Owf(A,B)|c_member(A,C,c_Wellfounded_Oacc(A,B)).
% 7.55/7.55 ** KEPT (pick-wt=11): 366 [] c_Wellfounded_Owf(A,B)| -c_member(A,$f76(B,A),c_Wellfounded_Oacc(A,B)).
% 7.55/7.55 Following clause subsumed by 365 during input processing: 0 [] -c_Wellfounded_Owf(A,B)|c_member(A,C,c_Wellfounded_Oacc(A,B)).
% 7.55/7.55 ** KEPT (pick-wt=24): 367 [] -c_member(tc_prod(A,A),B,c_Transitive__Closure_Otrancl(A,C))| -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(A,A),tc_HOL_Obool),C,D)|c_member(tc_prod(A,A),B,c_Transitive__Closure_Otrancl(A,D)).
% 7.55/7.55 ** KEPT (pick-wt=21): 368 [] -c_member(A,B,C)|c_Set_Oinsert(A,B,c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),C,c_Set_Oinsert(A,B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)))))=C.
% 7.55/7.55 ** KEPT (pick-wt=8): 369 [] -c_Order__Relation_Owell__order__on(A,B,C)|c_Order__Rela
% 7.55/7.55 Search stopped in tp_alloc by max_mem option.
% 7.55/7.55 tion_Olinear__order__on(A,B,C).
% 7.55/7.55 ** KEPT (pick-wt=15): 370 [] -c_Order__Relation_Owell__order__on(A,B,C)|c_Wellfounded_Owf(A,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(A,A),tc_HOL_Obool),C,c_Relation_OId(A))).
% 7.55/7.55 ** KEPT (pick-wt=19): 371 [] c_Order__Relation_Owell__order__on(A,B,C)| -c_Order__Relation_Olinear__order__on(A,B,C)| -c_Wellfounded_Owf(A,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(A,A),tc_HOL_Obool),C,c_Relation_OId(A))).
% 7.55/7.55 ** KEPT (pick-wt=33): 372 [] -c_member(A,B,C)| -c_Nitpick_Ofold__graph_H(A,D,E,F,c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),C,c_Set_Oinsert(A,B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)))),G)|c_Nitpick_Ofold__graph_H(A,D,E,F,C,hAPP(hAPP(E,B),G)).
% 7.55/7.55 ** KEPT (pick-wt=54): 373 [] -c_Order__Relation_Opreorder__on(A,c_Relation_OField(A,B),B)| -c_member(A,C,c_Relation_OField(A,B))| -c_member(A,D,c_Relation_OField(A,B))| -c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),c_Relation_OImage(A,A,B,c_Set_Oinsert(A,C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)))),c_Relation_OImage(A,A,B,c_Set_Oinsert(A,D,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)))))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,D,C),B).
% 7.55/7.55
% 7.55/7.55 Search stopped in tp_alloc by max_mem option.
% 7.55/7.55
% 7.55/7.55 ============ end of search ============
% 7.55/7.55
% 7.55/7.55 -------------- statistics -------------
% 7.55/7.55 clauses given 0
% 7.55/7.55 clauses generated 0
% 7.55/7.55 clauses kept 368
% 7.55/7.55 clauses forward subsumed 74
% 7.55/7.55 clauses back subsumed 0
% 7.55/7.55 Kbytes malloced 11718
% 7.55/7.55
% 7.55/7.55 ----------- times (seconds) -----------
% 7.55/7.55 user CPU time 0.12 (0 hr, 0 min, 0 sec)
% 7.55/7.55 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 7.55/7.55 wall-clock time 7 (0 hr, 0 min, 7 sec)
% 7.55/7.55
% 7.55/7.55 Process 17821 finished Wed Jul 27 09:24:55 2022
% 7.55/7.55 Otter interrupted
% 7.55/7.55 PROOF NOT FOUND
%------------------------------------------------------------------------------