%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SCT008-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n022.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 13:12:25 EDT 2022

% Result   : Unknown 185.65s 185.74s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SCT008-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13  % Command  : otter-tptp-script %s
% 0.13/0.34  % Computer : n022.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed Jul 27 09:04:50 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 185.65/185.69  ----- Otter 3.3f, August 2004 -----
% 185.65/185.69  The process was started by sandbox2 on n022.cluster.edu,
% 185.65/185.69  Wed Jul 27 09:04:50 2022
% 185.65/185.69  The command was "./otter".  The process ID is 28754.
% 185.65/185.69  
% 185.65/185.69  set(prolog_style_variables).
% 185.65/185.69  set(auto).
% 185.65/185.69     dependent: set(auto1).
% 185.65/185.69     dependent: set(process_input).
% 185.65/185.69     dependent: clear(print_kept).
% 185.65/185.69     dependent: clear(print_new_demod).
% 185.65/185.69     dependent: clear(print_back_demod).
% 185.65/185.69     dependent: clear(print_back_sub).
% 185.65/185.69     dependent: set(control_memory).
% 185.65/185.69     dependent: assign(max_mem, 12000).
% 185.65/185.69     dependent: assign(pick_given_ratio, 4).
% 185.65/185.69     dependent: assign(stats_level, 1).
% 185.65/185.69     dependent: assign(max_seconds, 10800).
% 185.65/185.69  clear(print_given).
% 185.65/185.69  
% 185.65/185.69  list(usable).
% 185.65/185.69  0 [] A=A.
% 185.65/185.69  0 [] c_lesse_quals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)).
% 185.65/185.69  0 [] c_lesse_quals(c_Relation_OField(V_r,T_a),c_Relation_OField(V_s,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 185.65/185.69  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_y,V_z,T_a)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a).
% 185.65/185.69  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a).
% 185.65/185.69  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)| -c_lesse_quals(V_x,V_b,T_a).
% 185.65/185.69  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)| -c_lesse_quals(V_x,V_a,T_a).
% 185.65/185.69  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_b,V_x,T_a)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a).
% 185.65/185.69  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_a,V_x,T_a)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a).
% 185.65/185.69  0 [] c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_z,V_x,T_a)| -c_lesse_quals(V_z,V_y,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 185.65/185.69  0 [] c_lesse_quals(V_x,V_x,tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] c_lesse_quals(V_A,V_A,tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] hBOOL(hAPP(V_Q,V_x))| -hBOOL(hAPP(V_P,V_x))| -c_lesse_quals(V_P,V_Q,tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] c_Wellfounded_Owf(V_p,T_a)| -c_lesse_quals(V_p,V_r,tc_fun(tc_prod(T_a,T_a),tc_bool))| -c_Wellfounded_Owf(V_r,T_a).
% 185.65/185.69  0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 185.65/185.69  0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 185.65/185.69  0 [] c_Relation_Oantisym(V_r,T_a)| -c_Relation_Oantisym(V_s,T_a)| -c_lesse_quals(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 185.65/185.69  0 [] hBOOL(hAPP(V_Q,V_x))| -c_lesse_quals(V_P,V_Q,tc_fun(T_a,tc_bool))| -hBOOL(hAPP(V_P,V_x)).
% 185.65/185.69  0 [] c_Relation_Osingle__valued(V_r,T_a,T_b)| -c_Relation_Osingle__valued(V_s,T_a,T_b)| -c_lesse_quals(V_r,V_s,tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 185.65/185.69  0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_y,V_z,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 185.65/185.69  0 [] c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_D,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] c_lesse_quals(c_Relation_ODomain(V_r,T_a,T_b),c_Relation_ODomain(V_s,T_a,T_b),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_r,V_s,tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 185.65/185.69  0 [] V_A=c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] c_lesse_quals(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] -c_lesse_quals(V_x,V_A,tc_fun(T_b,tc_bool))|c_lesse_quals(c_Set_Oimage(V_f,V_x,T_b,T_a),c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] c_lesse_quals(c_Set_Oinsert(V_a,V_C,T_a),c_Set_Oinsert(V_a,V_D,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,V_D,tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] c_lesse_quals(c_Relation_OImage(V_r_H,V_A_H,T_a,T_b),c_Relation_OImage(V_r,V_A,T_a,T_b),tc_fun(T_b,tc_bool))| -c_lesse_quals(V_A_H,V_A,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_r_H,V_r,tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 185.65/185.69  0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_y,V_x,T_a)|c_lesse_quals(V_x,V_y,T_a).
% 185.65/185.69  0 [] hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),V_B))| -hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A))| -c_lesse_quals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] c_lesse_quals(V_R,V_S,tc_fun(T_a,tc_bool))| -c_lesse_quals(c_COMBC(c_in(T_a),V_R,T_a,tc_fun(T_a,tc_bool),tc_bool),c_COMBC(c_in(T_a),V_S,T_a,tc_fun(T_a,tc_bool),tc_bool),tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] c_lesse_quals(c_COMBC(c_in(T_a),V_R,T_a,tc_fun(T_a,tc_bool),tc_bool),c_COMBC(c_in(T_a),V_S,T_a,tc_fun(T_a,tc_bool),tc_bool),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_R,V_S,tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),V_x),c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),V_x),c_Transitive__Closure_Ortrancl(V_R,T_a))).
% 185.65/185.69  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),V_x),c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),V_x),c_Transitive__Closure_Ortrancl(V_S,T_a))).
% 185.65/185.69  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),V_p),c_Transitive__Closure_Otrancl(V_s,T_a)))| -c_lesse_quals(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),V_p),c_Transitive__Closure_Otrancl(V_r,T_a))).
% 185.65/185.69  0 [] c_Relation_OField(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] c_Product__Type_OSigma(c_Lattices_Oupper__semilattice__class_Osup(V_I,V_J,tc_fun(T_a,tc_bool)),V_C,T_a,T_b)=c_Lattices_Oupper__semilattice__class_Osup(c_Product__Type_OSigma(V_I,V_C,T_a,T_b),c_Product__Type_OSigma(V_J,V_C,T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 185.65/185.69  0 [] hAPP(c_FuncSet_Orestrict(V_f,V_A,T_b,T_a),V_x)=c_HOL_Oundefined(T_a)|hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)).
% 185.65/185.69  0 [] c_Relation_OImage(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_b,T_a),tc_bool)),V_A,T_b,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OImage(V_R,V_A,T_b,T_a),c_Relation_OImage(V_S,V_A,T_b,T_a),tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] c_Relation_ODomain(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(tc_prod(T_a,T_b),tc_bool)),T_a,T_b)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(V_A,T_a,T_b),c_Relation_ODomain(V_B,T_a,T_b),tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(V_R,V_R,T_a,T_a,T_a),c_Relation_Orel__comp(V_S,V_R,T_a,T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)| -c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a).
% 185.65/185.69  0 [] c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)| -c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(V_R,V_R,T_a,T_a,T_a),c_Relation_Orel__comp(V_S,V_R,T_a,T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a).
% 185.65/185.69  0 [] c_Transitive__Closure_Otrancl(V_r,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_r,c_Relation_Orel__comp(c_Transitive__Closure_Otrancl(V_r,T_a),V_r,T_a,T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 185.65/185.69  0 [] c_Relation_Orefl__on(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)| -c_Relation_Orefl__on(V_B,V_s,T_a)| -c_Relation_Orefl__on(V_A,V_r,T_a).
% 185.65/185.69  0 [] c_Relation_ORange(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(tc_prod(T_b,T_a),tc_bool)),T_b,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ORange(V_A,T_b,T_a),c_Relation_ORange(V_B,T_b,T_a),tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] c_Relation_Orel__comp(V_B,V_C,T_a,T_a,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool))|c_Relation_Orel__comp(V_A,V_C,T_a,T_a,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool))|c_Relation_Orel__comp(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(tc_prod(T_a,T_a),tc_bool)),V_C,T_a,T_a,T_a)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 185.65/185.69  0 [] c_Relation_Orel__comp(V_A,V_C,T_a,T_a,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool))|c_Relation_Orel__comp(V_A,V_B,T_a,T_a,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool))|c_Relation_Orel__comp(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a,T_a,T_a)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 185.65/185.69  0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(V_R,T_a),c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))=c_Transitive__Closure_Ortrancl(V_R,T_a).
% 185.65/185.69  0 [] c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(V_R,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)=c_Transitive__Closure_Ortrancl(V_R,T_a).
% 185.65/185.69  0 [] c_lesse_quals(c_Relation_Orel__comp(V_r,V_r,T_a,T_a,T_a),V_r,tc_fun(tc_prod(T_a,T_a),tc_bool))| -c_Relation_Otrans(V_r,T_a).
% 185.65/185.69  0 [] c_Relation_Osym(c_Lattices_Oupper__semilattice__class_Osup(V_r,c_Relation_Oconverse(V_r,T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a).
% 185.65/185.69  0 [] c_Relation_Otrans(c_Lattices_Oupper__semilattice__class_Osup(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)| -c_Relation_Otrans(V_r,T_a).
% 185.65/185.69  0 [] c_Relation_Oantisym(V_r,T_a)| -c_Relation_Oantisym(c_Lattices_Oupper__semilattice__class_Osup(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a).
% 185.65/185.69  0 [] c_Relation_Oantisym(c_Lattices_Oupper__semilattice__class_Osup(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)| -c_Relation_Oantisym(V_r,T_a).
% 185.65/185.69  0 [] -class_Lattices_Olattice(t_b)|hAPP(c_Lattices_Oupper__semilattice__class_Osup(v_f,v_g,tc_fun(t_a,t_b)),v_x)=c_Lattices_Oupper__semilattice__class_Osup(hAPP(v_f,v_x),hAPP(v_g,v_x),t_b).
% 185.65/185.69  0 [] c_lesse_quals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,V_A,tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] c_lesse_quals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,V_A,tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a).
% 185.65/185.69  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a).
% 185.65/185.69  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a)| -c_lesse_quals(V_x,V_b,T_a)| -c_lesse_quals(V_x,V_a,T_a).
% 185.65/185.69  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)| -c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 185.65/185.69  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)| -c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 185.65/185.69  0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a).
% 185.65/185.69  0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a).
% 185.65/185.69  0 [] c_Relation_Oconverse(c_Lattices_Oupper__semilattice__class_Osup(V_r,V_s,tc_fun(tc_prod(T_b,T_a),tc_bool)),T_b,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Oconverse(V_r,T_b,T_a),c_Relation_Oconverse(V_s,T_b,T_a),tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 185.65/185.69  0 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_D,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] c_lesse_quals(c_Transitive__Closure_Ortrancl(V_r,T_a),c_Transitive__Closure_Ortrancl(V_s,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))| -c_lesse_quals(V_r,c_Transitive__Closure_Ortrancl(V_s,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 185.65/185.69  0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))!=V_B|c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))=V_A| -c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))=V_B| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)=V_y| -c_lesse_quals(V_x,V_y,T_a).
% 185.65/185.69  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)!=V_y|c_lesse_quals(V_x,V_y,T_a).
% 185.65/185.69  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)=V_x| -c_lesse_quals(V_y,V_x,T_a).
% 185.65/185.69  0 [] -class_Orderings_Oorder(T_a)|V_x=V_y| -c_lesse_quals(V_x,V_y,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 185.65/185.69  0 [] -class_Orderings_Oorder(T_a)|V_x=V_y| -c_lesse_quals(V_y,V_x,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 185.65/185.69  0 [] -class_Orderings_Oorder(T_a)|V_x=V_y| -c_lesse_quals(V_y,V_x,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 185.65/185.69  0 [] V_A=V_B| -c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] V_A=V_B| -c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] c_Set_Oimage(c_FuncSet_Orestrict(V_f,V_A,T_b,T_a),V_A,T_b,T_a)=c_Set_Oimage(V_f,V_A,T_b,T_a).
% 185.65/185.69  0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a),T_a).
% 185.65/185.69  0 [] c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)| -c_lesse_quals(c_Relation_Orel__comp(V_R,V_S,T_a,T_a,T_a),V_R,tc_fun(tc_prod(T_a,T_a),tc_bool))| -c_Wellfounded_Owf(V_S,T_a)| -c_Wellfounded_Owf(V_R,T_a).
% 185.65/185.69  0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,V_A,tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))!=c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))|c_lesse_quals(V_C,V_A,tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] c_lesse_quals(c_Relation_OImage(V_R,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_OImage(V_R,V_A,T_b,T_a),c_Relation_OImage(V_R,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] c_lesse_quals(c_Set_Oimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] c_lesse_quals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] c_lesse_quals(c_Relation_ODomain(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(tc_prod(T_a,T_b),tc_bool)),T_a,T_b),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_ODomain(V_A,T_a,T_b),c_Relation_ODomain(V_B,T_a,T_b),tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] c_lesse_quals(c_Transitive__Closure_Ortrancl(V_r,T_a),c_Transitive__Closure_Ortrancl(V_s,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))| -c_lesse_quals(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 185.65/185.69  0 [] c_Relation_Osym(c_Lattices_Oupper__semilattice__class_Osup(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)| -c_Relation_Osym(V_s,T_a)| -c_Relation_Osym(V_r,T_a).
% 185.65/185.69  0 [] -class_Orderings_Obot(T_a)|c_lesse_quals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a).
% 185.65/185.69  0 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)),V_B,tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 185.65/185.69  0 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(V_R,T_a),c_Transitive__Closure_Ortrancl(V_S,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 185.65/185.69  0 [] c_lesse_quals(V_A,c_Set_Oinsert(V_b,V_B,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] c_lesse_quals(c_Transitive__Closure_Otrancl(V_r,T_a),V_s,tc_fun(tc_prod(T_a,T_a),tc_bool))| -c_lesse_quals(c_Relation_Orel__comp(c_Lattices_Olower__semilattice__class_Oinf(c_Transitive__Closure_Otrancl(V_r,T_a),V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)),V_r,T_a,T_a,T_a),V_s,tc_fun(tc_prod(T_a,T_a),tc_bool))| -c_lesse_quals(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 185.65/185.69  0 [] c_lesse_quals(c_Relation_Orel__comp(V_r_H,V_s_H,T_a,T_b,T_c),c_Relation_Orel__comp(V_r,V_s,T_a,T_b,T_c),tc_fun(tc_prod(T_a,T_c),tc_bool))| -c_lesse_quals(V_s_H,V_s,tc_fun(tc_prod(T_b,T_c),tc_bool))| -c_lesse_quals(V_r_H,V_r,tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 185.65/185.69  0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))=V_A| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))=V_B| -c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)=V_x| -c_lesse_quals(V_x,V_y,T_a).
% 185.65/185.69  0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)!=V_x|c_lesse_quals(V_x,V_y,T_a).
% 185.65/185.69  0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)=V_y| -c_lesse_quals(V_y,V_x,T_a).
% 185.65/185.69  0 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] c_lesse_quals(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] c_lesse_quals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a)| -c_lesse_quals(V_b,V_x,T_a)| -c_lesse_quals(V_a,V_x,T_a).
% 185.65/185.69  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a).
% 185.65/185.69  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a).
% 185.65/185.69  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a)| -c_lesse_quals(V_z,V_x,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 185.65/185.69  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)| -c_lesse_quals(V_y,V_z,T_a)| -c_lesse_quals(V_x,V_z,T_a).
% 185.65/185.69  0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a).
% 185.65/185.69  0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a).
% 185.65/185.69  0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a),T_a).
% 185.65/185.69  0 [] c_Transitive__Closure_Ortrancl(V_S,T_a)=c_Transitive__Closure_Ortrancl(V_R,T_a)| -c_lesse_quals(V_S,c_Transitive__Closure_Ortrancl(V_R,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))| -c_lesse_quals(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 185.65/185.69  0 [] c_Relation_OField(c_Relation_Oconverse(V_r,T_a,T_a),T_a)=c_Relation_OField(V_r,T_a).
% 185.65/185.69  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))| -c_lesse_quals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 185.65/185.69  0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))| -c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 185.65/185.69  0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))|hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 185.65/185.69  0 [] c_Relation_Orel__comp(c_Lattices_Oupper__semilattice__class_Osup(V_S,V_T,tc_fun(tc_prod(T_a,T_c),tc_bool)),V_R,T_a,T_c,T_b)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(V_S,V_R,T_a,T_c,T_b),c_Relation_Orel__comp(V_T,V_R,T_a,T_c,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 185.65/185.69  0 [] c_Relation_Orel__comp(V_R,c_Lattices_Oupper__semilattice__class_Osup(V_S,V_T,tc_fun(tc_prod(T_c,T_b),tc_bool)),T_a,T_c,T_b)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(V_R,V_S,T_a,T_c,T_b),c_Relation_Orel__comp(V_R,V_T,T_a,T_c,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 185.65/185.69  0 [] c_Relation_OField(c_Lattices_Oupper__semilattice__class_Osup(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OField(V_r,T_a),c_Relation_OField(V_s,T_a),tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] c_lesse_quals(V_C,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] c_lesse_quals(V_C,V_A,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_a,T_a)| -c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a).
% 185.65/185.69  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_b,T_a)| -c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a).
% 185.65/185.69  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)| -c_lesse_quals(V_a,V_x,T_a).
% 185.65/185.69  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)| -c_lesse_quals(V_b,V_x,T_a).
% 185.65/185.69  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_y,T_a)| -c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a).
% 185.65/185.69  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a).
% 185.65/185.69  0 [] hBOOL(hAPP(hAPP(c_in(T_a),c_List_Osko__Equiv__Relations__XquotientE__1__1(V_A,V_X,V_r,T_a)),V_A))| -hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_X),c_Equiv__Relations_Oquotient(V_A,V_r,T_a))).
% 185.65/185.69  0 [] c_lesse_quals(c_Wellfounded_Oacc(V_R2,T_a),c_Wellfounded_Oacc(V_R1,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_R1,V_R2,tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 185.65/185.69  0 [] c_lesse_quals(c_Relation_ORange(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(tc_prod(T_b,T_a),tc_bool)),T_b,T_a),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_ORange(V_A,T_b,T_a),c_Relation_ORange(V_B,T_b,T_a),tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(V_R,T_a),c_Transitive__Closure_Ortrancl(V_S,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)=c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a).
% 185.65/185.69  0 [] -class_HOL_Oord(T_b)|c_lesse_quals(hAPP(V_f,V_x),hAPP(V_g,V_x),T_b)| -c_lesse_quals(V_f,V_g,tc_fun(T_a,T_b)).
% 185.65/185.69  0 [] hAPP(c_FuncSet_Orestrict(V_f,V_A,T_b,T_a),V_x)=hAPP(V_f,V_x)| -hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)).
% 185.65/185.69  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_t),V_B))| -hBOOL(hAPP(hAPP(c_in(T_a),V_t),V_A))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 185.65/185.69  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,c_Relation_OImage(V_R,V_A,T_a,T_a),tc_fun(T_a,tc_bool))| -c_Wellfounded_Owf(V_R,T_a).
% 185.65/185.69  0 [] hAPP(c_Fun_Ocomp(v_f,v_g,t_a,t_b,t_c),v_x)=hAPP(v_f,hAPP(v_g,v_x)).
% 185.65/185.69  0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otrancl(V_r,T_a),c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))=c_Transitive__Closure_Ortrancl(V_r,T_a).
% 185.65/185.69  0 [] c_Transitive__Closure_Otrancl(c_Lattices_Oupper__semilattice__class_Osup(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)=c_Transitive__Closure_Ortrancl(V_r,T_a).
% 185.65/185.69  0 [] c_Transitive__Closure_Ortrancl(V_r,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otrancl(V_r,T_a),c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 185.65/185.69  0 [] c_Relation_OField(V_r,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(V_r,T_a,T_a),c_Relation_ORange(V_r,T_a,T_a),tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] c_Transitive__Closure_Ortrancl(V_r,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OId(T_a),c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(V_r,T_a),V_r,T_a,T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 185.65/185.69  0 [] c_lesse_quals(V_r,c_Relation_Orel__comp(c_Relation_Oconverse(V_r,T_a,T_a),V_r,T_a,T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))| -c_Relation_Orefl__on(V_A,V_r,T_a).
% 185.65/185.69  0 [] hAPP(c_Fun_Ofcomp(v_f,v_g,t_a,t_b,t_c),v_x)=hAPP(v_g,hAPP(v_f,v_x)).
% 185.65/185.69  0 [] -class_Lattices_Olattice(t_b)|hAPP(c_Lattices_Olower__semilattice__class_Oinf(v_f,v_g,tc_fun(t_a,t_b)),v_x)=c_Lattices_Olower__semilattice__class_Oinf(hAPP(v_f,v_x),hAPP(v_g,v_x),t_b).
% 185.65/185.69  0 [] hAPP(c_FuncSet_Orestrict(V_f,V_A,t_a,T_b),v_x)=c_HOL_OIf(hAPP(hAPP(c_in(t_a),v_x),V_A),hAPP(V_f,v_x),c_HOL_Oundefined(T_b),T_b).
% 185.65/185.69  0 [] c_Relation_OField(v_r,t_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(v_r,t_a,t_a),c_Relation_ORange(v_r,t_a,t_a),tc_fun(t_a,tc_bool)).
% 185.65/185.69  0 [] c_lesse_quals(c_Relation_Orel__comp(c_Relation_Oconverse(V_r,T_a,T_a),V_r,T_a,T_a,T_a),V_r,tc_fun(tc_prod(T_a,T_a),tc_bool))| -c_Relation_Otrans(V_r,T_a)| -c_Relation_Osym(V_r,T_a).
% 185.65/185.69  0 [] c_lesse_quals(c_Transitive__Closure_Ortrancl(V_r,T_a),V_s,tc_fun(tc_prod(T_a,T_a),tc_bool))| -c_lesse_quals(c_Relation_Orel__comp(c_Lattices_Olower__semilattice__class_Oinf(c_Transitive__Closure_Ortrancl(V_r,T_a),V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)),V_r,T_a,T_a,T_a),V_s,tc_fun(tc_prod(T_a,T_a),tc_bool))| -c_lesse_quals(c_Relation_OId(T_a),V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 185.65/185.69  0 [] V_X=c_Relation_OImage(V_r,c_Set_Oinsert(c_List_Osko__Equiv__Relations__XquotientE__1__1(V_A,V_X,V_r,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)| -hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_X),c_Equiv__Relations_Oquotient(V_A,V_r,T_a))).
% 185.65/185.69  0 [] c_Lattices_Olower__semilattice__class_Oinf(c_Relation_ODomain(V_r,T_a,T_a),c_Relation_ORange(V_s,T_a,T_a),tc_fun(T_a,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_Wellfounded_Owf(V_s,T_a)| -c_Wellfounded_Owf(V_r,T_a)|c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a).
% 185.65/185.69  0 [] c_lesse_quals(c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a),c_Relation_OImage(V_r,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a),tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r))| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a).
% 185.65/185.69  0 [] c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)!=c_Relation_OImage(V_r,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)| -hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Relation_OField(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Relation_OField(V_r,T_a)))| -c_Relation_Oantisym(V_r,T_a)| -c_Relation_Orefl__on(c_Relation_OField(V_r,T_a),V_r,T_a)|V_a=V_b.
% 185.65/185.69  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r))| -hBOOL(hAPP(hAPP(c_in(T_a),V_b),V_A))| -c_lesse_quals(c_Relation_OImage(V_r,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a),c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a),tc_fun(T_a,tc_bool))| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a).
% 185.65/185.69  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A))| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a).
% 185.65/185.69  0 [] c_Relation_OImage(V_R,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a)=c_Lattices_Olower__semilattice__class_Oinf(c_Relation_OImage(V_R,V_A,T_b,T_a),c_Relation_OImage(V_R,V_B,T_b,T_a),tc_fun(T_a,tc_bool))| -c_Relation_Osingle__valued(c_Relation_Oconverse(V_R,T_b,T_a),T_a,T_b).
% 185.65/185.69  0 [] c_Relation_ORange(v_r,t_a,t_b)=c_Relation_ODomain(c_Relation_Oconverse(v_r,t_a,t_b),t_b,t_a).
% 185.65/185.69  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a),c_Relation_OImage(V_r,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a),tc_fun(T_a,tc_bool))))| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a).
% 185.65/185.69  0 [] hAPP(c_Lattices_Olower__semilattice__class_Oinf(c_COMBC(c_in(t_a),V_R,t_a,tc_fun(t_a,tc_bool),tc_bool),c_COMBC(c_in(t_a),V_S,t_a,tc_fun(t_a,tc_bool),tc_bool),tc_fun(t_a,tc_bool)),v_x)=hAPP(hAPP(c_in(t_a),v_x),c_Lattices_Olower__semilattice__class_Oinf(V_R,V_S,tc_fun(t_a,tc_bool))).
% 185.65/185.69  0 [] c_Equiv__Relations_Oquotient(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_r,T_a)!=c_Equiv__Relations_Oquotient(c_Set_Oinsert(V_y,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_r,T_a)| -hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a)|hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r)).
% 185.65/185.69  0 [] c_Equiv__Relations_Oquotient(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_r,T_a)=c_Equiv__Relations_Oquotient(c_Set_Oinsert(V_y,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_r,T_a)| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r))| -hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a).
% 185.65/185.69  0 [] c_Set_Oinsert(V_a,V_A,T_a)=V_A| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)).
% 185.65/185.69  0 [] c_Set_Oinsert(V_x,V_A,T_a)!=c_Set_Oinsert(V_x,V_B,T_a)|hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))|hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))|V_A=V_B.
% 185.65/185.69  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)))).
% 185.65/185.69  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)))).
% 185.65/185.69  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,V_B,T_a))).
% 185.65/185.69  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_a,V_B,T_a))).
% 185.65/185.69  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,V_A,T_a))).
% 185.65/185.69  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A))|V_a=V_b| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_b,V_A,T_a))).
% 185.65/185.69  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_b,V_B,T_a)))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_B)).
% 185.65/185.69  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_b,V_A,T_a)))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)).
% 185.65/185.69  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)).
% 185.65/185.69  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)).
% 185.65/185.69  0 [] c_Relation_Osym(c_Lattices_Olower__semilattice__class_Oinf(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)| -c_Relation_Osym(V_s,T_a)| -c_Relation_Osym(V_r,T_a).
% 185.65/185.69  0 [] hBOOL(hAPP(V_A,V_x))| -hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)).
% 185.65/185.69  0 [] hBOOL(hAPP(V_B,V_x))| -hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)).
% 185.65/185.69  0 [] c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool))|hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_C)).
% 185.65/185.69  0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))|hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)).
% 185.65/185.69  0 [] c_Relation_Oconverse(c_Lattices_Olower__semilattice__class_Oinf(V_r,V_s,tc_fun(tc_prod(T_b,T_a),tc_bool)),T_b,T_a)=c_Lattices_Olower__semilattice__class_Oinf(c_Relation_Oconverse(V_r,T_b,T_a),c_Relation_Oconverse(V_s,T_b,T_a),tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 185.65/185.69  0 [] hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))| -hBOOL(hAPP(V_A,V_x)).
% 185.65/185.69  0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)!=c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)|V_a=V_b.
% 185.65/185.69  0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a).
% 185.65/185.69  0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a).
% 185.65/185.69  0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(V_B,V_A,tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] c_Set_Oinsert(V_xa,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)=c_Set_Oinsert(V_x,c_Set_Oinsert(V_xa,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a).
% 185.65/185.69  0 [] c_Set_Oinsert(V_x,c_Set_Oinsert(V_y,V_A,T_a),T_a)=c_Set_Oinsert(V_y,c_Set_Oinsert(V_x,V_A,T_a),T_a).
% 185.65/185.69  0 [] -class_Lattices_Odistrib__lattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_z,V_x,T_a),T_a).
% 185.65/185.69  0 [] -class_Lattices_Odistrib__lattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a).
% 185.65/185.69  0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_B,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] c_Product__Type_OSigma(c_Lattices_Olower__semilattice__class_Oinf(V_I,V_J,tc_fun(T_a,tc_bool)),V_C,T_a,T_b)=c_Lattices_Olower__semilattice__class_Oinf(c_Product__Type_OSigma(V_I,V_C,T_a,T_b),c_Product__Type_OSigma(V_J,V_C,T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 185.65/185.69  0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool))=c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),T_a).
% 185.65/185.69  0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool))=c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a).
% 185.65/185.69  0 [] c_Set_Oinsert(V_a,V_A,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_A,T_a),c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool))=c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a).
% 185.65/185.69  0 [] c_Set_Oinsert(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a)=c_Set_Oinsert(V_x,V_A,T_a).
% 185.65/185.69  0 [] hBOOL(hAPP(V_A,V_x))|V_y=V_x| -hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)).
% 185.65/185.69  0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Orderings_Obot__class_Obot(T_a),T_a)=c_Orderings_Obot__class_Obot(T_a).
% 185.65/185.69  0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(T_a),V_x,T_a)=c_Orderings_Obot__class_Obot(T_a).
% 185.65/185.69  0 [] c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a).
% 185.65/185.69  0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a).
% 185.65/185.69  0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a).
% 185.65/185.69  0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a).
% 185.65/185.69  0 [] c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(V_B,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] c_Relation_Otrans(c_Lattices_Olower__semilattice__class_Oinf(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)| -c_Relation_Otrans(V_s,T_a)| -c_Relation_Otrans(V_r,T_a).
% 185.65/185.69  0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a)=V_x.
% 185.65/185.69  0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a)=V_x.
% 185.65/185.69  0 [] c_Relation_Orefl__on(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)| -c_Relation_Orefl__on(V_B,V_s,T_a)| -c_Relation_Orefl__on(V_A,V_r,T_a).
% 185.65/185.69  0 [] c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)!=c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)|V_a=V_d|V_a=V_c.
% 185.65/185.69  0 [] c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)!=c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)|V_b=V_c|V_a=V_c.
% 185.65/185.69  0 [] c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)!=c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)|V_a=V_d|V_b=V_d.
% 185.65/185.69  0 [] c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)!=c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)|V_b=V_c|V_b=V_d.
% 185.65/185.69  0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Set_Oinsert(V_a,V_A,T_a).
% 185.65/185.69  0 [] c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool))=c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),T_a)| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_C)).
% 185.65/185.69  0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool))=c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)).
% 185.65/185.69  0 [] c_Set_Oimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_b,T_a)=c_Set_Oinsert(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_B,T_b,T_a),T_a).
% 185.65/185.69  0 [] -class_Lattices_Odistrib__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),V_x,T_a)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_z,V_x,T_a),T_a).
% 185.65/185.69  0 [] -class_Lattices_Odistrib__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a).
% 185.65/185.69  0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)).
% 185.65/185.69  0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a).
% 185.65/185.69  0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a).
% 185.65/185.69  0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] c_Wellfounded_Owf(c_Lattices_Olower__semilattice__class_Oinf(V_r,V_r_H,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)| -c_Wellfounded_Owf(V_r,T_a).
% 185.65/185.69  0 [] c_Wellfounded_Owf(c_Lattices_Olower__semilattice__class_Oinf(V_r_H,V_r,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)| -c_Wellfounded_Owf(V_r,T_a).
% 185.65/185.69  0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_x,T_a)=V_x.
% 185.65/185.69  0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,V_A,tc_fun(T_a,tc_bool))=V_A.
% 185.65/185.69  0 [] -class_Lattices_Olattice(T_b)|hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_f,V_g,tc_fun(t_a,T_b)),v_x)=c_Lattices_Olower__semilattice__class_Oinf(hAPP(V_f,v_x),hAPP(V_g,v_x),T_b).
% 185.65/185.69  0 [] hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))| -hBOOL(hAPP(V_B,V_x))| -hBOOL(hAPP(V_A,V_x)).
% 185.65/185.69  0 [] c_Lattices_Olower__semilattice__class_Oinf(V_X,V_Y,tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_X=V_Y| -hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_Y),c_Equiv__Relations_Oquotient(V_A,V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_X),c_Equiv__Relations_Oquotient(V_A,V_r,T_a)))| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a).
% 185.65/185.69  0 [] c_Set_Oinsert(V_x,V_xa,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_xa)).
% 185.65/185.69  0 [] V_b=V_a| -hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))).
% 185.65/185.69  0 [] -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))|c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))).
% 185.65/185.69  0 [] c_Set_Oinsert(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)=c_Set_Oimage(V_f,V_A,T_a,T_b)| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 185.65/185.69  0 [] c_Set_Oinsert(V_a,V_A,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_A,tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),c_Relation_OImage(V_r,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)),c_Equiv__Relations_Oquotient(V_A,V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 185.65/185.69  0 [] c_Relation_Osym(c_Lattices_Olower__semilattice__class_Oinf(V_r,c_Relation_Oconverse(V_r,T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a).
% 185.65/185.69  0 [] c_Relation_OImage(c_Relation_OId__on(V_A,T_a),V_B,T_a,T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_b,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(V_a,V_b,T_b,T_a)),V_r)).
% 185.65/185.69  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(V_a,V_b,T_b,T_a)),V_r))| -hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_b,T_a))).
% 185.65/185.69  0 [] c_Predicate_Oinv__imagep(v_r,v_f,v_x,v_y,t_a,t_b)=hAPP(hAPP(v_r,hAPP(v_f,v_x)),hAPP(v_f,v_y)).
% 185.65/185.69  0 [] V_X=V_Y| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r))| -hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_Y))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_X))| -hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_Y),c_Equiv__Relations_Oquotient(V_A,V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_X),c_Equiv__Relations_Oquotient(V_A,V_r,T_a)))| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a).
% 185.65/185.69  0 [] -hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_x))| -hBOOL(hAPP(hAPP(c_in(T_a),V_xa),V_x))| -hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_x),c_Equiv__Relations_Oquotient(V_A,V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_x),c_Equiv__Relations_Oquotient(V_A,V_r,T_a)))| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a)|hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_xa,V_y,T_a,T_a)),V_r)).
% 185.65/185.69  0 [] c_Relation_OImage(V_r,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)=c_Relation_OImage(V_r,c_Set_Oinsert(V_y,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r))| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a).
% 185.65/185.69  0 [] c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)=c_Relation_OImage(V_r,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r))| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a).
% 185.65/185.69  0 [] c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)!=c_Relation_OImage(V_r,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)|hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r))| -hBOOL(hAPP(hAPP(c_in(T_a),V_b),V_A))| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a).
% 185.65/185.69  0 [] c_Relation_OImage(V_r,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)!=c_Relation_OImage(V_r,c_Set_Oinsert(V_y,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a)|hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r))| -hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 185.65/185.69  0 [] c_Relation_OImage(V_r,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)=c_Relation_OImage(V_r,c_Set_Oinsert(V_y,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r))| -hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a).
% 185.65/185.69  0 [] c_Relation_OImage(V_r,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)!=c_Relation_OImage(V_r,c_Set_Oinsert(V_y,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)| -hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a)|hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r)).
% 185.65/185.69  0 [] c_Lattices_Olower__semilattice__class_Oinf(c_Relation_Oconverse(V_r,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_x,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a))).
% 185.65/185.69  0 [] c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] c_Relation_OImage(c_Relation_OId(T_a),V_A,T_a,T_a)=V_A.
% 185.65/185.69  0 [] c_Wellfounded_Owf(V_R,T_a)| -c_Wellfounded_Owf(c_Relation_Orel__comp(V_R,V_R,T_a,T_a,T_a),T_a).
% 185.65/185.69  0 [] c_Wellfounded_Owf(c_Relation_Orel__comp(V_R,V_R,T_a,T_a,T_a),T_a)| -c_Wellfounded_Owf(V_R,T_a).
% 185.65/185.69  0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a).
% 185.65/185.69  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a).
% 185.65/185.69  0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a).
% 185.65/185.69  0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a).
% 185.65/185.69  0 [] c_Relation_Osym(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a)| -c_Relation_Osym(V_r,T_a).
% 185.65/185.69  0 [] c_Relation_OId__on(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 185.65/185.69  0 [] c_Relation_Orefl__on(V_A,c_Relation_Oconverse(V_r,T_a,T_a),T_a)| -c_Relation_Orefl__on(V_A,V_r,T_a).
% 185.65/185.69  0 [] c_Relation_Orefl__on(V_A,V_r,T_a)| -c_Relation_Orefl__on(V_A,c_Relation_Oconverse(V_r,T_a,T_a),T_a).
% 185.65/185.69  0 [] hBOOL(hAPP(V_P,V_a))| -hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(V_P,V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Wellfounded_Oacc(V_r,T_a))).
% 185.65/185.69  0 [] c_Wellfounded_Owf(c_Relation_Oconverse(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a),T_a)| -c_Wellfounded_Owf(c_Relation_Oconverse(V_r,T_a,T_a),T_a).
% 185.65/185.69  0 [] c_Wellfounded_Owf(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a).
% 185.65/185.69  0 [] c_split(c_curry(V_f,T_a,T_b,T_c),T_a,T_b,T_c)=V_f.
% 185.65/185.69  0 [] c_Relation_Oantisym(c_Relation_OId__on(V_A,T_a),T_a).
% 185.65/185.69  0 [] c_Relation_Orel__comp(V_R,c_Relation_OId(T_b),T_a,T_b,T_b)=V_R.
% 185.65/185.69  0 [] c_Relation_Orel__comp(c_Relation_OId(T_a),V_R,T_a,T_a,T_b)=V_R.
% 185.65/185.69  0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_B=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a)!=c_Orderings_Obot__class_Obot(T_a)|V_A=c_Orderings_Obot__class_Obot(T_a).
% 185.65/185.69  0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a)!=c_Orderings_Obot__class_Obot(T_a)|V_B=c_Orderings_Obot__class_Obot(T_a).
% 185.65/185.69  0 [] c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a)!=c_Fun_Ocomp(c_Fun_Oid(T_b),V_c,T_b,T_b,T_a)|hAPP(V_a,hAPP(V_b,V_v))=hAPP(V_c,V_v).
% 185.65/185.69  0 [] c_Relation_Otrans(c_Relation_OId__on(V_A,T_a),T_a).
% 185.65/185.69  0 [] hBOOL(c_Record_Oiso__tuple__surjective__proof__assist(V_x,hAPP(V_f,V_x),V_f,T_b,T_a)).
% 185.65/185.69  0 [] hBOOL(c_Record_Oiso__tuple__surjective__proof__assist(V_x,hAPP(V_f,V_x),V_f,T_aa,T_a)).
% 185.65/185.69  0 [] c_curry(c_split(V_f,T_a,T_b,T_c),T_a,T_b,T_c)=V_f.
% 185.65/185.69  0 [] c_Relation_Osym(c_Relation_OId(T_a),T_a).
% 185.65/185.69  0 [] -hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1(V_R,V_x,T_a)),c_Wellfounded_Oacc(V_R,T_a)))|hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Wellfounded_Oacc(V_R,T_a))).
% 185.65/185.69  0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a).
% 185.65/185.69  0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a).
% 185.65/185.69  0 [] c_Set_Oimage(c_Fun_Oid(T_a),V_Y,T_a,T_a)=V_Y.
% 185.65/185.69  0 [] c_Product__Type_OSigma(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,T_a,T_b)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 185.65/185.69  0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)).
% 185.65/185.69  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a).
% 185.65/185.69  0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a).
% 185.65/185.69  0 [] c_Relation_ODomain(V_r,T_a,T_b)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_r=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 185.65/185.69  0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))=c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a).
% 185.65/185.69  0 [] hBOOL(hAPP(hAPP(c_in(T_b),c_ATP__Linkup_Osko__Relation__XImage__iff__1__1(V_A,V_b,V_r,T_b,T_a)),V_A))| -hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Relation_OImage(V_r,V_A,T_b,T_a))).
% 185.65/185.69  0 [] c_Relation_ODomain(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a)=c_Relation_ODomain(V_r,T_a,T_a).
% 185.65/185.69  0 [] c_Relation_Osym(c_Relation_Oconverse(V_r,T_a,T_a),T_a)| -c_Relation_Osym(V_r,T_a).
% 185.65/185.69  0 [] c_Relation_Osym(V_r,T_a)| -c_Relation_Osym(c_Relation_Oconverse(V_r,T_a,T_a),T_a).
% 185.65/185.69  0 [] hBOOL(hAPP(V_P,V_a))|hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(V_P,V_r,T_a)),c_Wellfounded_Oacc(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Wellfounded_Oacc(V_r,T_a))).
% 185.65/185.69  0 [] c_Relation_Orel__comp(V_R,V_R,T_a,T_a,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool))|c_Wellfounded_Owf(V_R,T_a).
% 185.65/185.69  0 [] hBOOL(hAPP(V_P,V_x))| -hBOOL(hAPP(V_P,v_sko__Wellfounded__Xacc__Xinducts__1(V_P,V_r)))| -hBOOL(hAPP(hAPP(c_in(t_a),V_x),c_Wellfounded_Oacc(V_r,t_a))).
% 185.65/185.69  0 [] c_Transitive__Closure_Otrancl(V_r,T_a)=V_r| -c_Relation_Otrans(V_r,T_a).
% 185.65/185.69  0 [] hBOOL(hAPP(V_P,V_a))| -hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(V_P,V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Wellfounded_Oacc(V_r,T_a))).
% 185.65/185.69  0 [] c_Relation_Osym(c_Transitive__Closure_Otrancl(V_r,T_a),T_a)| -c_Relation_Osym(V_r,T_a).
% 185.65/185.69  0 [] hBOOL(hAPP(hAPP(c_in(T_b),c_ATP__Linkup_Osko__Relation__XImageE__1__1(V_A,V_b,V_r,T_b,T_a)),V_A))| -hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Relation_OImage(V_r,V_A,T_b,T_a))).
% 185.65/185.69  0 [] hAPP(c_Fun_Oid(T_a),V_x)=V_x.
% 185.65/185.69  0 [] c_Relation_Osingle__valued(c_Relation_OId__on(V_A,T_a),T_a,T_a).
% 185.65/185.69  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Wellfounded_Oacc(V_r,T_a)))| -c_Wellfounded_Owf(V_r,T_a).
% 185.65/185.69  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)).
% 185.65/185.69  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B)).
% 185.65/185.69  0 [] -hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))).
% 185.65/185.69  0 [] hBOOL(hAPP(V_P,V_x))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))).
% 185.65/185.69  0 [] -hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))).
% 185.65/185.69  0 [] -hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))).
% 185.65/185.69  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))|hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)))).
% 185.65/185.69  0 [] -hBOOL(hAPP(V_P,V_x))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))).
% 185.65/185.69  0 [] c_COMBC(c_in(T_a),V_R,T_a,tc_fun(T_a,tc_bool),tc_bool)!=c_COMBC(c_in(T_a),V_S,T_a,tc_fun(T_a,tc_bool),tc_bool)|V_R=V_S.
% 185.65/185.69  0 [] -hBOOL(hAPP(hAPP(c_in(T_aa),V_x),V_A))|hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_aa,T_a))).
% 185.65/185.69  0 [] -hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A))|hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_b,T_a))).
% 185.65/185.69  0 [] hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_b,T_a)))| -hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)).
% 185.65/185.69  0 [] hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_a,T_b)))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 185.65/185.69  0 [] hAPP(hAPP(c_curry(V_f,T_b,T_c,T_a),V_a),V_b)=hAPP(V_f,c_Pair(V_a,V_b,T_b,T_c)).
% 185.65/185.69  0 [] hBOOL(hAPP(hAPP(hAPP(V_R,V_a),V_b),V_c))| -hBOOL(hAPP(hAPP(c_split(V_R,T_a,T_b,tc_fun(T_c,tc_bool)),c_Pair(V_a,V_b,T_a,T_b)),V_c)).
% 185.65/185.69  0 [] hAPP(c_split(V_f,T_a,T_b,T_c),c_Pair(V_a,V_b,T_a,T_b))=hAPP(hAPP(V_f,V_a),V_b).
% 185.65/185.69  0 [] hAPP(c_split(V_f,T_b,T_c,T_a),c_Pair(V_a,V_b,T_b,T_c))=hAPP(hAPP(V_f,V_a),V_b).
% 185.65/185.69  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Transitive__Closure_Otrancl(c_Relation_Oconverse(V_r,T_a,T_a),T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Relation_Oconverse(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a))).
% 185.65/185.69  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Relation_Oconverse(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Transitive__Closure_Otrancl(c_Relation_Oconverse(V_r,T_a,T_a),T_a))).
% 185.65/185.69  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_z,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y,V_z,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))).
% 185.65/185.69  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_c,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_b,V_c,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a))).
% 185.65/185.69  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a))).
% 185.65/185.69  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_z,V_y,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a)))|hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y,V_z,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_z,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a)))| -c_Relation_Osingle__valued(V_r,T_a,T_a).
% 185.65/185.69  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y,V_x,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(V_r,T_a,T_a),T_a))).
% 185.65/185.69  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(V_r,T_a,T_a),T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y,V_x,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))).
% 185.65/185.69  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Otrancl(V_R,T_a)))|V_a=V_b| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_R,T_a))).
% 185.65/185.69  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Transitive__Closure_Otrancl(V_R,T_a)))|V_x=V_y| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_R,T_a))).
% 185.65/185.69  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_R,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Transitive__Closure_Otrancl(V_R,T_a)))|V_x=V_y.
% 185.65/185.69  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_c,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_b,V_c,T_a,T_a)),V_r))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_c,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_b,V_c,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r)).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),V_p),c_Transitive__Closure_Otrancl(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),V_p),V_r)).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),V_p),c_Transitive__Closure_Ortrancl(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),V_p),V_r)).
% 185.65/185.70  0 [] c_Relation_Osingle__valued(c_Relation_OId(T_a),T_a,T_a).
% 185.65/185.70  0 [] hAPP(c_COMBC(V_P,V_Q,T_b,T_c,T_a),V_R)=hAPP(hAPP(V_P,V_R),V_Q).
% 185.65/185.70  0 [] c_Relation_ODomain(c_Relation_OId__on(V_A,T_a),T_a,T_a)=V_A.
% 185.65/185.70  0 [] c_Relation_Oconverse(V_r,T_a,T_a)=V_r| -c_Relation_Osym(V_r,T_a).
% 185.65/185.70  0 [] c_Relation_Oconverse(V_r,T_a,T_a)!=V_r|c_Relation_Osym(V_r,T_a).
% 185.65/185.70  0 [] c_Relation_ODomain(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_bool)),T_a,T_b)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 185.65/185.70  0 [] c_Relation_ORange(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a)=c_Relation_ORange(V_r,T_a,T_a).
% 185.65/185.70  0 [] c_Relation_OImage(V_R,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OImage(V_R,V_A,T_b,T_a),c_Relation_OImage(V_R,V_B,T_b,T_a),tc_fun(T_a,tc_bool)).
% 185.65/185.70  0 [] c_Relation_Otrans(c_Transitive__Closure_Otrancl(V_r,T_a),T_a).
% 185.65/185.70  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a)=V_x.
% 185.65/185.70  0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool))=V_A.
% 185.65/185.70  0 [] c_Fun_Ocomp(c_Fun_Oid(T_b),V_g,T_b,T_b,T_a)=V_g.
% 185.65/185.70  0 [] c_Fun_Ocomp(V_f,c_Fun_Oid(T_a),T_a,T_b,T_a)=V_f.
% 185.65/185.70  0 [] -class_Lattices_Olattice(T_b)|hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_f,V_g,tc_fun(t_a,T_b)),v_x)=c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_f,v_x),hAPP(V_g,v_x),T_b).
% 185.65/185.70  0 [] c_Relation_Oconverse(c_Relation_Orel__comp(V_r,V_s,T_b,T_c,T_a),T_b,T_a)=c_Relation_Orel__comp(c_Relation_Oconverse(V_s,T_c,T_a),c_Relation_Oconverse(V_r,T_b,T_c),T_a,T_c,T_b).
% 185.65/185.70  0 [] c_Relation_Osym(c_Relation_OId__on(V_A,T_a),T_a).
% 185.65/185.70  0 [] c_Relation_Orefl__on(V_A,c_Relation_OId__on(V_A,T_a),T_a).
% 185.65/185.70  0 [] c_Wellfounded_Owf(c_Relation_Oinv__image(V_r,V_f,T_a,T_b),T_b)| -c_Wellfounded_Owf(V_r,T_a).
% 185.65/185.70  0 [] c_Relation_Orel__comp(V_r,c_Transitive__Closure_Ortrancl(V_r,T_a),T_a,T_a,T_a)=c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(V_r,T_a),V_r,T_a,T_a,T_a).
% 185.65/185.70  0 [] -class_Orderings_Obot(T_b)|hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,T_b)),v_x)=c_Orderings_Obot__class_Obot(T_b).
% 185.65/185.70  0 [] c_Relation_Osym(c_Relation_Oinv__image(V_r,V_f,T_a,T_b),T_b)| -c_Relation_Osym(V_r,T_a).
% 185.65/185.70  0 [] c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)=c_Relation_OId(T_a).
% 185.65/185.70  0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Set_Oimage(V_f,V_A,T_b,T_a)|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)).
% 185.65/185.70  0 [] c_Transitive__Closure_Otrancl(c_Transitive__Closure_Ortrancl(V_R,T_a),T_a)=c_Transitive__Closure_Ortrancl(V_R,T_a).
% 185.65/185.70  0 [] c_Relation_Otrans(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a).
% 185.65/185.70  0 [] c_Relation_Orel__comp(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_c),tc_bool)),V_R,T_a,T_c,T_b)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 185.65/185.70  0 [] c_Relation_Orel__comp(V_R,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_bool)),T_a,T_c,T_b)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 185.65/185.70  0 [] c_Relation_Otrans(V_r,T_a)| -c_Relation_Otrans(c_Relation_Oconverse(V_r,T_a,T_a),T_a).
% 185.65/185.70  0 [] c_Relation_Otrans(c_Relation_Oconverse(V_r,T_a,T_a),T_a)| -c_Relation_Otrans(V_r,T_a).
% 185.65/185.70  0 [] c_Relation_Oconverse(c_Relation_OId(T_a),T_a,T_a)=c_Relation_OId(T_a).
% 185.65/185.70  0 [] c_Wellfounded_Owf(c_Transitive__Closure_Otrancl(V_r,T_a),T_a)| -c_Wellfounded_Owf(V_r,T_a).
% 185.65/185.70  0 [] c_Relation_OImage(V_R,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 185.65/185.70  0 [] c_Relation_Orel__comp(c_Relation_Orel__comp(V_R,V_S,T_a,T_d,T_c),V_T,T_a,T_c,T_b)=c_Relation_Orel__comp(V_R,c_Relation_Orel__comp(V_S,V_T,T_d,T_c,T_b),T_a,T_d,T_b).
% 185.65/185.70  0 [] c_Relation_Oconverse(c_Relation_Oinv__image(V_R,V_f,T_b,T_a),T_a,T_a)=c_Relation_Oinv__image(c_Relation_Oconverse(V_R,T_b,T_b),V_f,T_b,T_a).
% 185.65/185.70  0 [] c_Transitive__Closure_Otrancl(c_Relation_Oconverse(V_r,T_a,T_a),T_a)=c_Relation_Oconverse(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a).
% 185.65/185.70  0 [] c_Relation_Otrans(c_Relation_Oinv__image(V_r,V_f,T_a,T_b),T_b)| -c_Relation_Otrans(V_r,T_a).
% 185.65/185.70  0 [] c_Relation_Oconverse(c_Relation_OId__on(V_A,T_a),T_a,T_a)=c_Relation_OId__on(V_A,T_a).
% 185.65/185.70  0 [] c_Relation_Orel__comp(c_Relation_Oconverse(V_r,T_a,T_a),V_r,T_a,T_a,T_a)!=V_r|c_Equiv__Relations_Oe_quiv(c_Relation_ODomain(V_r,T_a,T_a),V_r,T_a).
% 185.65/185.70  0 [] c_Relation_Oantisym(c_Relation_OId(T_a),T_a).
% 185.65/185.70  0 [] hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x)=hAPP(V_f,hAPP(V_g,V_x)).
% 185.65/185.70  0 [] hAPP(V_a,hAPP(V_b,V_v))=hAPP(c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a),V_v).
% 185.65/185.70  0 [] c_Relation_ORange(c_Relation_Oconverse(V_r,T_a,T_b),T_b,T_a)=c_Relation_ODomain(V_r,T_a,T_b).
% 185.65/185.70  0 [] hBOOL(hAPP(V_B,V_x))|hBOOL(hAPP(V_A,V_x))| -hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)).
% 185.65/185.70  0 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))| -hBOOL(hAPP(V_B,V_x)).
% 185.65/185.70  0 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))| -hBOOL(hAPP(V_A,V_x)).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Wellfounded__Xwf__e_q__minimal__1__1(V_Q,V_r,T_a)),V_Q))| -hBOOL(hAPP(hAPP(c_in(T_a),V_xa),V_Q))| -c_Wellfounded_Owf(V_r,T_a).
% 185.65/185.70  0 [] c_Relation_ORange(c_Relation_OId__on(V_A,T_a),T_a,T_a)=V_A.
% 185.65/185.70  0 [] c_Relation_Osingle__valued(c_Relation_Orel__comp(V_r,V_s,T_a,T_b,T_c),T_a,T_c)| -c_Relation_Osingle__valued(V_s,T_b,T_c)| -c_Relation_Osingle__valued(V_r,T_a,T_b).
% 185.65/185.70  0 [] c_Relation_Oconverse(c_Relation_Oconverse(V_r,T_a,T_b),T_b,T_a)=V_r.
% 185.65/185.70  0 [] hAPP(V_f,V_x)=V_y| -hBOOL(c_Record_Oiso__tuple__surjective__proof__assist(V_x,V_y,V_f,T_a,T_b)).
% 185.65/185.70  0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Obot__class_Obot(T_a),T_a)=V_x.
% 185.65/185.70  0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(T_a),V_x,T_a)=V_x.
% 185.65/185.70  0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))=V_B.
% 185.65/185.70  0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A.
% 185.65/185.70  0 [] c_Relation_Otrans(c_Relation_OId(T_a),T_a).
% 185.65/185.70  0 [] c_Relation_Orel__comp(c_Relation_Oconverse(V_r,T_a,T_a),V_r,T_a,T_a,T_a)=V_r| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a).
% 185.65/185.70  0 [] c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(V_R,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),T_a,T_a,T_a)=c_Transitive__Closure_Ortrancl(V_R,T_a).
% 185.65/185.70  0 [] c_Relation_Oantisym(V_r,T_a)| -c_Relation_Oantisym(c_Relation_Oconverse(V_r,T_a,T_a),T_a).
% 185.65/185.70  0 [] c_Relation_Oantisym(c_Relation_Oconverse(V_r,T_a,T_a),T_a)| -c_Relation_Oantisym(V_r,T_a).
% 185.65/185.70  0 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)).
% 185.65/185.70  0 [] -hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_fun(T_b,tc_bool))),V_x),V_y)).
% 185.65/185.70  0 [] hBOOL(hAPP(V_P,V_x))| -hBOOL(hAPP(V_P,v_sko__Wellfounded__Xacc__Xinduct__1(V_P,V_r)))| -hBOOL(hAPP(hAPP(c_in(t_a),V_x),c_Wellfounded_Oacc(V_r,t_a))).
% 185.65/185.70  0 [] c_Relation_Orefl__on(V_A,V_r,T_a)| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a).
% 185.65/185.70  0 [] c_Relation_Oantisym(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a).
% 185.65/185.70  0 [] c_Relation_ORange(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_a),tc_bool)),T_b,T_a)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 185.65/185.70  0 [] c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(V_r,T_a,T_a),T_a)=c_Relation_Oconverse(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a,T_a).
% 185.65/185.70  0 [] c_Product__Type_OPair__Rep(V_a,V_b,T_a,T_b)!=c_Product__Type_OPair__Rep(V_a_H,V_b_H,T_a,T_b)|V_a=V_a_H.
% 185.65/185.70  0 [] c_Product__Type_OPair__Rep(V_a,V_b,T_a,T_b)!=c_Product__Type_OPair__Rep(V_a_H,V_b_H,T_a,T_b)|V_b=V_b_H.
% 185.65/185.70  0 [] c_Relation_Orefl__on(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1(V_Q,V_R,T_a)),V_Q))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_Q))| -c_Wellfounded_Owf(V_R,T_a).
% 185.65/185.70  0 [] c_Relation_Ototal__on(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_r,T_a).
% 185.65/185.70  0 [] c_Relation_Osym(V_r,T_a)| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a).
% 185.65/185.70  0 [] hAPP(c_Fun_Ofcomp(V_f,V_g,T_b,T_c,T_a),V_x)=hAPP(V_g,hAPP(V_f,V_x)).
% 185.65/185.70  0 [] c_Fun_Ocomp(V_f,c_Fun_Ocomp(V_g,V_h,T_d,T_c,T_a),T_c,T_b,T_a)=c_Fun_Ocomp(c_Fun_Ocomp(V_f,V_g,T_c,T_b,T_d),V_h,T_d,T_b,T_a).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Wellfounded_Oacc(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1(V_r,V_x,T_a)),c_Wellfounded_Oacc(V_r,T_a))).
% 185.65/185.70  0 [] c_Fun_Ofcomp(V_f,c_Fun_Oid(T_b),T_a,T_b,T_b)=V_f.
% 185.65/185.70  0 [] c_Fun_Ofcomp(c_Fun_Oid(T_a),V_g,T_a,T_a,T_b)=V_g.
% 185.65/185.70  0 [] c_Equiv__Relations_Ocongruent(V_r2,hAPP(V_f,V_a),T_b,T_c)| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A))| -c_Equiv__Relations_Ocongruent2(V_r1,V_r2,V_f,T_a,T_b,T_c)| -c_Equiv__Relations_Oe_quiv(V_A,V_r1,T_a).
% 185.65/185.70  0 [] c_Set_Oimage(c_Fun_Ocomp(V_f,V_g,T_c,T_a,T_b),V_r,T_b,T_a)=c_Set_Oimage(V_f,c_Set_Oimage(V_g,V_r,T_b,T_c),T_c,T_a).
% 185.65/185.70  0 [] c_Relation_ODomain(c_Relation_Oconverse(V_r,T_b,T_a),T_a,T_b)=c_Relation_ORange(V_r,T_b,T_a).
% 185.65/185.70  0 [] c_Transitive__Closure_Otrancl(V_r,T_a)=c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(V_r,T_a),V_r,T_a,T_a,T_a).
% 185.65/185.70  0 [] c_Transitive__Closure_Otrancl(V_r,T_a)=c_Relation_Orel__comp(V_r,c_Transitive__Closure_Ortrancl(V_r,T_a),T_a,T_a,T_a).
% 185.65/185.70  0 [] c_Set_Oimage(V_f,V_A,T_b,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)).
% 185.65/185.70  0 [] c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a)!=c_Fun_Ocomp(V_c,V_d,T_d,T_b,T_a)|hAPP(V_a,hAPP(V_b,V_v))=hAPP(V_c,hAPP(V_d,V_v)).
% 185.65/185.70  0 [] hAPP(V_f,hAPP(V_g,V_x))!=hAPP(V_f_H,hAPP(V_g_H,V_x_H))|hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x)=hAPP(c_Fun_Ocomp(V_f_H,V_g_H,T_d,T_a,T_e),V_x_H).
% 185.65/185.70  0 [] V_x=V_y| -hBOOL(c_Record_Oiso__tuple__surjective__proof__assist(V_x,V_y,c_Fun_Oid(T_a),T_a,T_a)).
% 185.65/185.70  0 [] c_Relation_ORange(V_r,T_b,T_a)=c_Relation_ODomain(c_Relation_Oconverse(V_r,T_b,T_a),T_a,T_b).
% 185.65/185.70  0 [] c_Relation_Ototal__on(V_A,V_r,T_a)| -c_Relation_Ototal__on(V_A,c_Relation_Oconverse(V_r,T_a,T_a),T_a).
% 185.65/185.70  0 [] c_Relation_Ototal__on(V_A,c_Relation_Oconverse(V_r,T_a,T_a),T_a)| -c_Relation_Ototal__on(V_A,V_r,T_a).
% 185.65/185.70  0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 185.65/185.70  0 [] c_Relation_Otrans(V_r,T_a)| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a).
% 185.65/185.70  0 [] hBOOL(hAPP(V_P,V_a))|hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(V_P,V_r,T_a)),c_Wellfounded_Oacc(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Wellfounded_Oacc(V_r,T_a))).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(V_r,hAPP(V_f,V_x)),hAPP(V_f,V_y)))| -hBOOL(c_Predicate_Oinv__imagep(V_r,V_f,V_x,V_y,T_a,T_b)).
% 185.65/185.70  0 [] hBOOL(c_Predicate_Oinv__imagep(V_r,V_f,V_x,V_y,T_a,T_b))| -hBOOL(hAPP(hAPP(V_r,hAPP(V_f,V_x)),hAPP(V_f,V_y))).
% 185.65/185.70  0 [] c_Set_Oimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)).
% 185.65/185.70  0 [] c_Transitive__Closure_Otrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 185.65/185.70  0 [] c_Relation_ORange(V_r,T_b,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_r=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_a),tc_bool)).
% 185.65/185.70  0 [] c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Otrancl(V_R,T_a),T_a)=c_Transitive__Closure_Ortrancl(V_R,T_a).
% 185.65/185.70  0 [] c_Fun_Ofcomp(c_Fun_Ofcomp(V_f,V_g,T_a,T_d,T_c),V_h,T_a,T_c,T_b)=c_Fun_Ofcomp(V_f,c_Fun_Ofcomp(V_g,V_h,T_d,T_c,T_b),T_a,T_d,T_b).
% 185.65/185.70  0 [] c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a)=c_Transitive__Closure_Ortrancl(V_r,T_a).
% 185.65/185.70  0 [] hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_COMBC(c_in(t_a),V_R,t_a,tc_fun(t_a,tc_bool),tc_bool),c_COMBC(c_in(t_a),V_S,t_a,tc_fun(t_a,tc_bool),tc_bool),tc_fun(t_a,tc_bool)),v_x)=hAPP(hAPP(c_in(t_a),v_x),c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(t_a,tc_bool))).
% 185.65/185.70  0 [] hAPP(c_Recdef_Ocut(V_f,V_r,V_x,t_a,T_b),v_y)=c_HOL_OIf(hAPP(hAPP(c_in(tc_prod(t_a,t_a)),c_Pair(v_y,V_x,t_a,t_a)),V_r),hAPP(V_f,v_y),c_HOL_Oundefined(T_b),T_b).
% 185.65/185.70  0 [] hAPP(c_Fun_Ocomp(V_f,V_g,T_c,T_b,t_a),v_x)=hAPP(V_f,hAPP(V_g,v_x)).
% 185.65/185.70  0 [] hAPP(c_Fun_Oid(t_a),v_x)=v_x.
% 185.65/185.70  0 [] hAPP(c_Fun_Ofcomp(V_f,V_g,t_a,T_c,T_b),v_x)=hAPP(V_g,hAPP(V_f,v_x)).
% 185.65/185.70  0 [] c_Record_Oiso__tuple__surjective__proof__assist(v_x,v_y,v_f,t_a,t_b)=c_fe_qual(hAPP(v_f,v_x),v_y,t_b).
% 185.65/185.70  0 [] hAPP(hAPP(c_Product__Type_OPair__Rep(V_a,V_b,t_a,t_b),v_x),v_y)=c_and(c_fe_qual(v_x,V_a,t_a),c_fe_qual(v_y,V_b,t_b)).
% 185.65/185.70  0 [] -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))| -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_y,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))|V_x=V_y| -hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_y,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))|hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))|V_x=V_y| -hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)).
% 185.65/185.70  0 [] -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_b,V_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))| -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))| -hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(c_ATP__Linkup_Osko__Relation__XImageE__1__1(V_A,V_b,V_r,T_b,T_a),V_b,T_b,T_a)),V_r))| -hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Relation_OImage(V_r,V_A,T_b,T_a))).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1(V_R,V_x,T_a),V_x,T_a,T_a)),V_R))|hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Wellfounded_Oacc(V_R,T_a))).
% 185.65/185.70  0 [] hBOOL(hAPP(V_P,V_a))|hBOOL(hAPP(V_P,V_y))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(V_P,V_r,T_a),T_a,T_a)),V_r))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Wellfounded_Oacc(V_r,T_a))).
% 185.65/185.70  0 [] hBOOL(hAPP(V_P,V_x))|hBOOL(hAPP(V_P,V_y))| -hBOOL(hAPP(hAPP(c_in(tc_prod(t_a,t_a)),c_Pair(V_y,v_sko__Wellfounded__Xacc__Xinduct__1(V_P,V_r),t_a,t_a)),V_r))| -hBOOL(hAPP(hAPP(c_in(t_a),V_x),c_Wellfounded_Oacc(V_r,t_a))).
% 185.65/185.70  0 [] -hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_Q))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y,c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1(V_Q,V_R,T_a),T_a,T_a)),V_R))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_Q))| -c_Wellfounded_Owf(V_R,T_a).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(c_ATP__Linkup_Osko__Relation__XRangeE__1__1(V_b,V_r,T_a,T_b),V_b,T_b,T_a)),V_r))| -hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Relation_ORange(V_r,T_b,T_a))).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Wellfounded_Oacc(V_r,T_a)))|hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1(V_r,V_x,T_a),V_x,T_a,T_a)),V_r)).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Wellfounded_Oacc(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Wellfounded_Oacc(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_b,V_a,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Wellfounded_Oacc(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_b,V_a,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Wellfounded_Oacc(V_r,T_a))).
% 185.65/185.70  0 [] hBOOL(hAPP(V_P,V_x))|hBOOL(hAPP(hAPP(c_in(t_a),V_ya),c_Wellfounded_Oacc(V_r,t_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(t_a,t_a)),c_Pair(V_ya,v_sko__Wellfounded__Xacc__Xinducts__1(V_P,V_r),t_a,t_a)),V_r))| -hBOOL(hAPP(hAPP(c_in(t_a),V_x),c_Wellfounded_Oacc(V_r,t_a))).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Relation_ODomain(V_R,T_a,T_a)))|hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_x,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_R,T_a))).
% 185.65/185.70  0 [] hBOOL(hAPP(V_P,V_x))|hBOOL(hAPP(V_P,V_y))| -hBOOL(hAPP(hAPP(c_in(tc_prod(t_a,t_a)),c_Pair(V_y,v_sko__Wellfounded__Xacc__Xinducts__1(V_P,V_r),t_a,t_a)),V_r))| -hBOOL(hAPP(hAPP(c_in(t_a),V_x),c_Wellfounded_Oacc(V_r,t_a))).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(T_c),hAPP(hAPP(V_f,V_a),V_b)),c_Set_Oimage(c_split(V_f,T_a,T_b,T_c),V_A,tc_prod(T_a,T_b),T_c)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),V_A)).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,c_ATP__Linkup_Osko__Relation__XDomainE__1__1(V_a,V_r,T_a,T_b),T_a,T_b)),V_r))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Relation_ODomain(V_r,T_a,T_b))).
% 185.65/185.70  0 [] hBOOL(hAPP(V_P,V_x))|hBOOL(hAPP(hAPP(c_in(t_a),V_ya),c_Wellfounded_Oacc(V_r,t_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(t_a,t_a)),c_Pair(V_ya,v_sko__Wellfounded__Xacc__Xinduct__1(V_P,V_r),t_a,t_a)),V_r))| -hBOOL(hAPP(hAPP(c_in(t_a),V_x),c_Wellfounded_Oacc(V_r,t_a))).
% 185.65/185.70  0 [] hBOOL(hAPP(V_P,V_a))|hBOOL(hAPP(V_P,V_y))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(V_P,V_r,T_a),T_a,T_a)),V_r))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Wellfounded_Oacc(V_r,T_a))).
% 185.65/185.70  0 [] -hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_Q))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y,c_ATP__Linkup_Osko__Wellfounded__Xwf__e_q__minimal__1__1(V_Q,V_r,T_a),T_a,T_a)),V_r))| -hBOOL(hAPP(hAPP(c_in(T_a),V_xa),V_Q))| -c_Wellfounded_Owf(V_r,T_a).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1(V_a,V_r,T_a,T_b),T_a,T_b)),V_r))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Relation_ODomain(V_r,T_a,T_b))).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(c_ATP__Linkup_Osko__Relation__XImage__iff__1__1(V_A,V_b,V_r,T_b,T_a),V_b,T_b,T_a)),V_r))| -hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Relation_OImage(V_r,V_A,T_b,T_a))).
% 185.65/185.70  0 [] V_x=V_y| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_R,T_a)))|hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Relation_ODomain(V_R,T_a,T_a))).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(c_ATP__Linkup_Osko__Relation__XRange__iff__1__1(V_a,V_r,T_a,T_b),V_a,T_b,T_a)),V_r))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Relation_ORange(V_r,T_b,T_a))).
% 185.65/185.70  0 [] hAPP(hAPP(c_curry(v_c,t_a,t_b,t_c),v_x),v_y)=hAPP(v_c,c_Pair(v_x,v_y,t_a,t_b)).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_z),hAPP(c_split(V_c,T_b,T_c,tc_fun(T_a,tc_bool)),c_Pair(V_a,V_b,T_b,T_c))))| -hBOOL(hAPP(hAPP(c_in(T_a),V_z),hAPP(hAPP(V_c,V_a),V_b))).
% 185.65/185.70  0 [] hAPP(hAPP(V_f,V_y1),V_y2)=hAPP(hAPP(V_f,V_z1),V_z2)| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_b)),c_Pair(V_y2,V_z2,T_b,T_b)),V_r2))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y1,V_z1,T_a,T_a)),V_r1))| -c_Equiv__Relations_Ocongruent2(V_r1,V_r2,V_f,T_a,T_b,T_c).
% 185.65/185.70  0 [] V_y=V_z| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_x,V_z,T_a,T_b)),V_r))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_x,V_y,T_a,T_b)),V_r))| -c_Relation_Osingle__valued(V_r,T_a,T_b).
% 185.65/185.70  0 [] hAPP(c_Recdef_Ocut(V_f,V_R,V_a,T_a,T_b),V_x)=hAPP(V_f,V_x)| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_a,T_a,T_a)),V_R)).
% 185.65/185.70  0 [] hAPP(c_Recdef_Ocut(V_f,V_r,V_a,T_a,T_b),V_x)=hAPP(V_f,V_x)| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_a,T_a,T_a)),V_r)).
% 185.65/185.70  0 [] hBOOL(c_FunDef_Oin__rel(V_R,V_x,V_y,T_a,T_b))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_x,V_y,T_a,T_b)),V_R)).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_x,V_y,T_a,T_b)),V_R))| -hBOOL(c_FunDef_Oin__rel(V_R,V_x,V_y,T_a,T_b)).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_z,T_a,T_a)),V_r))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y,V_z,T_a,T_a)),V_r))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r))| -c_Relation_Otrans(V_r,T_a).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_c,T_a,T_a)),V_r))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_b,V_c,T_a,T_a)),V_r))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r))| -c_Relation_Otrans(V_r,T_a).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),c_Relation_Oconverse(V_r,T_b,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(V_b,V_a,T_b,T_a)),V_r)).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(V_b,V_a,T_b,T_a)),c_Relation_Oconverse(V_r,T_a,T_b)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),V_r)).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(V_b,V_a,T_b,T_a)),V_r))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),c_Relation_Oconverse(V_r,T_b,T_a))).
% 185.65/185.70  0 [] -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_x,T_a,T_a)),V_r))| -c_Relation_Oirrefl(V_r,T_a).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_c,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_b,V_c,T_a,T_a)),V_r))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a))).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_c,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_b,V_c,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r)).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_c,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_b,V_c,T_a,T_a)),V_r))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_c,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_b,V_c,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r)).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r)).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_c,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_b,V_c,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_a,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_x,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_R,T_a))).
% 185.65/185.70  0 [] -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_a,T_a,T_a)),V_r))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_x,T_a,T_a)),V_r))| -c_Wellfounded_Owf(V_r,T_a).
% 185.65/185.70  0 [] V_x=V_y| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y,V_x,T_a,T_a)),V_r))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r))| -c_Relation_Oantisym(V_r,T_a).
% 185.65/185.70  0 [] V_a=V_b| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_b,V_a,T_a,T_a)),V_r))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r))| -c_Relation_Oantisym(V_r,T_a).
% 185.65/185.70  0 [] hAPP(V_f,V_y)=hAPP(V_f,V_z)| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y,V_z,T_a,T_a)),V_r))| -c_Equiv__Relations_Ocongruent(V_r,V_f,T_a,T_b).
% 185.65/185.70  0 [] V_x=V_y| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Relation_OId__on(V_A,T_a))).
% 185.65/185.70  0 [] c_Recdef_Ocut(V_f,V_r,V_x,T_a,T_b)!=c_Recdef_Ocut(V_g,V_r,V_x,T_a,T_b)|hAPP(V_f,V_y)=hAPP(V_g,V_y)| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y,V_x,T_a,T_a)),V_r)).
% 185.65/185.70  0 [] V_a=V_b| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Relation_OId(T_a))).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_x,T_a,T_a)),V_r))| -c_Nitpick_Orefl_H(V_r,T_a).
% 185.65/185.70  0 [] -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_a,T_a,T_a)),V_r))| -c_Wellfounded_Owf(V_r,T_a).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Relation_Oinv__image(V_r,V_f,T_b,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_b)),c_Pair(hAPP(V_f,V_x),hAPP(V_f,V_y),T_b,T_b)),V_r)).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_b)),c_Pair(hAPP(V_f,V_x),hAPP(V_f,V_y),T_b,T_b)),V_r))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Relation_Oinv__image(V_r,V_f,T_b,T_a))).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y,V_x,T_a,T_a)),V_r))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r))| -c_Relation_Osym(V_r,T_a).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_b,V_a,T_a,T_a)),V_r))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r))| -c_Relation_Osym(V_r,T_a).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_c)),c_Pair(V_a,V_c,T_a,T_c)),c_Relation_Orel__comp(V_r,V_s,T_a,T_b,T_c)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_c)),c_Pair(V_b,V_c,T_b,T_c)),V_s))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),V_r)).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_c,T_a,T_a)),c_Transitive__Closure_Otrancl(V_R,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_b,V_c,T_a,T_a)),V_R))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_R)).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_c,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_b,V_c,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a))).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_x,T_a,T_a)),c_Relation_OId(T_a))).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_a,T_a,T_a)),c_Relation_OId(T_a))).
% 185.65/185.70  0 [] hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x)=hAPP(hAPP(c_in(t_a),v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool))).
% 185.65/185.70  0 [] c_FunDef_Oin__rel(v_R,v_x,v_y,t_a,t_b)=hAPP(hAPP(c_in(tc_prod(t_a,t_b)),c_Pair(v_x,v_y,t_a,t_b)),v_R).
% 185.65/185.70  0 [] hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_fun(t_b,tc_bool))),v_x),v_y)=hAPP(hAPP(c_in(tc_prod(t_a,t_b)),c_Pair(v_x,v_y,t_a,t_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(t_a,t_b),tc_bool))).
% 185.65/185.70  0 [] c_Predicate_Oinv__imagep(V_r,V_f,v_x,v_y,T_b,t_a)=hAPP(hAPP(V_r,hAPP(V_f,v_x)),hAPP(V_f,v_y)).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),c_Product__Type_OSigma(V_A,V_B,T_a,T_b)))| -hBOOL(hAPP(hAPP(c_in(T_b),V_b),hAPP(V_B,V_a)))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),c_Product__Type_OSigma(V_A,V_B,T_a,T_b)))| -hBOOL(hAPP(hAPP(c_in(T_b),V_b),hAPP(V_B,V_a)))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Wellfounded_Oacc(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r))| -hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Wellfounded_Oacc(V_r,T_a))).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_y),c_Wellfounded_Oacc(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y,V_a,T_a,T_a)),V_r))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Wellfounded_Oacc(V_r,T_a))).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(T_b),V_b),c_Relation_OImage(V_r,V_A,T_a,T_b)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),V_r))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Relation_OImage(V_r,V_A,T_b,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(V_x,V_b,T_b,T_a)),V_r))| -hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Relation_OId__on(V_A,T_a))).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_x,T_a,T_a)),c_Relation_OId__on(V_A,T_a)))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r))| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r))| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Relation_ORange(V_r,T_b,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(V_x,V_a,T_b,T_a)),V_r)).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(T_b),V_b),c_Relation_ORange(V_r,T_a,T_b)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),V_r)).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Relation_ODomain(V_r,T_a,T_b)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_x,T_a,T_b)),V_r)).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Relation_ODomain(V_r,T_a,T_b)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),V_r)).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(T_b),V_b),hAPP(V_B,V_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),c_Product__Type_OSigma(V_A,V_B,T_a,T_b))).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),c_Product__Type_OSigma(V_A,V_B,T_a,T_b))).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_xa,V_x,T_a,T_a)),V_r))|hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_xa,T_a,T_a)),V_r))|V_x=V_xa| -hBOOL(hAPP(hAPP(c_in(T_a),V_xa),V_A))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))| -c_Relation_Ototal__on(V_A,V_r,T_a).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_x,T_a,T_a)),V_r))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))| -c_Relation_Orefl__on(V_A,V_r,T_a).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r))| -c_Relation_Orefl__on(V_A,V_r,T_a).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r))| -c_Relation_Orefl__on(V_A,V_r,T_a).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_a,T_a,T_a)),V_r))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A))| -c_Relation_Orefl__on(V_A,V_r,T_a).
% 185.65/185.70  0 [] c_Pair(V_a,V_b,T_a,T_b)!=c_Pair(V_a_H,V_b_H,T_a,T_b)|V_b=V_b_H.
% 185.65/185.70  0 [] c_Pair(V_a,V_b,T_a,T_b)!=c_Pair(V_a_H,V_b_H,T_a,T_b)|V_a=V_a_H.
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S))| -hBOOL(hAPP(V_S,V_x)).
% 185.65/185.70  0 [] hBOOL(hAPP(V_S,V_x))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S)).
% 185.65/185.70  0 [] v_x!=v_z|hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_x,v_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(v_L,v_z))).
% 185.65/185.70  0 [] v_x!=v_y|v_y!=v_z|hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_x,v_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(v_L,v_z))).
% 185.65/185.70  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_x,v_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(v_L,v_z)))|hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_x,v_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),v_L))|v_y=v_z.
% 185.65/185.70  0 [] -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_x,v_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),v_L))|v_y=v_z|v_x=v_z| -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_x,v_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(v_L,v_z))).
% 185.65/185.70  0 [] v_y!=v_z|v_x=v_y|v_x=v_z| -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_x,v_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(v_L,v_z))).
% 185.65/185.70  0 [] -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_x,v_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),v_L))|v_x=v_y|v_x=v_z| -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_x,v_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(v_L,v_z))).
% 185.65/185.70  0 [] class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 185.65/185.70  0 [] class_Lattices_Olower__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 185.65/185.70  0 [] class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1))| -class_Lattices_Odistrib__lattice(T_1).
% 185.65/185.70  0 [] class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))| -class_Lattices_Obounded__lattice(T_1).
% 185.65/185.70  0 [] class_Orderings_Opreorder(tc_fun(T_2,T_1))| -class_Orderings_Opreorder(T_1).
% 185.65/185.70  0 [] class_Lattices_Olattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 185.65/185.70  0 [] class_Orderings_Oorder(tc_fun(T_2,T_1))| -class_Orderings_Oorder(T_1).
% 185.65/185.70  0 [] class_Orderings_Obot(tc_fun(T_2,T_1))| -class_Orderings_Obot(T_1).
% 185.65/185.70  0 [] class_HOL_Oord(tc_fun(T_2,T_1))| -class_HOL_Oord(T_1).
% 185.65/185.70  0 [] class_Lattices_Oupper__semilattice(tc_bool).
% 185.65/185.70  0 [] class_Lattices_Olower__semilattice(tc_bool).
% 185.65/185.70  0 [] class_Lattices_Odistrib__lattice(tc_bool).
% 185.65/185.70  0 [] class_Lattices_Obounded__lattice(tc_bool).
% 185.65/185.70  0 [] class_Orderings_Opreorder(tc_bool).
% 185.65/185.70  0 [] class_Lattices_Olattice(tc_bool).
% 185.65/185.70  0 [] class_Orderings_Oorder(tc_bool).
% 185.65/185.70  0 [] class_Orderings_Obot(tc_bool).
% 185.65/185.70  0 [] class_HOL_Oord(tc_bool).
% 185.65/185.70  0 [] hBOOL(c_fe_qual(V_x,V_x,T_a)).
% 185.65/185.70  0 [] V_X=V_Y| -hBOOL(c_fe_qual(V_X,V_Y,T_a)).
% 185.65/185.70  end_of_list.
% 185.65/185.70  
% 185.65/185.70  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 185.65/185.70  
% 185.65/185.70  This ia a non-Horn set with equality.  The strategy will be
% 185.65/185.70  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 185.65/185.70  deletion, with positive clauses in sos and nonpositive
% 185.65/185.70  clauses in usable.
% 185.65/185.70  
% 185.65/185.70     dependent: set(knuth_bendix).
% 185.65/185.70     dependent: set(anl_eq).
% 185.65/185.70     dependent: set(para_from).
% 185.65/185.70     dependent: set(para_into).
% 185.65/185.70     dependent: clear(para_from_right).
% 185.65/185.70     dependent: clear(para_into_right).
% 185.65/185.70     dependent: set(para_from_vars).
% 185.65/185.70     dependent: set(eq_units_both_ways).
% 185.65/185.70     dependent: set(dynamic_demod_all).
% 185.65/185.70     dependent: set(dynamic_demod).
% 185.65/185.70     dependent: set(order_eq).
% 185.65/185.70     dependent: set(back_demod).
% 185.65/185.70     dependent: set(lrpo).
% 185.65/185.70     dependent: set(hyper_res).
% 185.65/185.70     dependent: set(unit_deletion).
% 185.65/185.70     dependent: set(factor).
% 185.65/185.70  
% 185.65/185.70  ------------> process usable:
% 185.65/185.70  ** KEPT (pick-wt=22): 1 [] c_lesse_quals(c_Set_Oinsert(A,B,C),D,tc_fun(C,tc_bool))| -c_lesse_quals(B,D,tc_fun(C,tc_bool))| -hBOOL(hAPP(hAPP(c_in(C),A),D)).
% 185.65/185.70  ** KEPT (pick-wt=18): 2 [] c_lesse_quals(c_Relation_OField(A,B),c_Relation_OField(C,B),tc_fun(B,tc_bool))| -c_lesse_quals(A,C,tc_fun(tc_prod(B,B),tc_bool)).
% 185.65/185.70  ** KEPT (pick-wt=13): 3 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(D,B,A),C,A).
% 185.65/185.70  ** KEPT (pick-wt=13): 4 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),C,A).
% 185.65/185.70  ** KEPT (pick-wt=13): 5 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)| -c_lesse_quals(B,D,A).
% 185.65/185.70  ** KEPT (pick-wt=13): 6 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)| -c_lesse_quals(B,C,A).
% 185.65/185.70    Following clause subsumed by 3 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(D,B,A),C,A).
% 185.65/185.70    Following clause subsumed by 4 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),C,A).
% 185.65/185.70  ** KEPT (pick-wt=17): 7 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(A,D,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)).
% 185.65/185.70  ** KEPT (pick-wt=17): 8 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(D,A,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)).
% 185.65/185.70  ** KEPT (pick-wt=14): 9 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(D,C,A).
% 185.65/185.70  ** KEPT (pick-wt=18): 10 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(D,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)).
% 185.65/185.70  ** KEPT (pick-wt=14): 11 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(C,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool)).
% 185.65/185.70  ** KEPT (pick-wt=14): 12 [] c_Wellfounded_Owf(A,B)| -c_lesse_quals(A,C,tc_fun(tc_prod(B,B),tc_bool))| -c_Wellfounded_Owf(C,B).
% 185.65/185.70  ** KEPT (pick-wt=6): 13 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,B,A).
% 185.65/185.70  ** KEPT (pick-wt=6): 14 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,B,A).
% 185.65/185.70  ** KEPT (pick-wt=14): 15 [] c_Relation_Oantisym(A,B)| -c_Relation_Oantisym(C,B)| -c_lesse_quals(A,C,tc_fun(tc_prod(B,B),tc_bool)).
% 185.65/185.70    Following clause subsumed by 11 during input processing: 0 [] hBOOL(hAPP(A,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool))| -hBOOL(hAPP(C,B)).
% 185.65/185.70  ** KEPT (pick-wt=16): 16 [] c_Relation_Osingle__valued(A,B,C)| -c_Relation_Osingle__valued(D,B,C)| -c_lesse_quals(A,D,tc_fun(tc_prod(B,C),tc_bool)).
% 185.65/185.70  ** KEPT (pick-wt=14): 17 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(D,C,A)| -c_lesse_quals(B,D,A).
% 185.65/185.70  ** KEPT (pick-wt=28): 18 [] c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(D,E,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))| -c_lesse_quals(B,E,tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)).
% 185.65/185.70  ** KEPT (pick-wt=20): 19 [] c_lesse_quals(c_Relation_ODomain(A,B,C),c_Relation_ODomain(D,B,C),tc_fun(B,tc_bool))| -c_lesse_quals(A,D,tc_fun(tc_prod(B,C),tc_bool)).
% 185.65/185.70  ** KEPT (pick-wt=27): 20 [] A=c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)|A=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))| -c_lesse_quals(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)).
% 185.65/185.70  ** KEPT (pick-wt=20): 21 [] c_lesse_quals(c_Set_Oimage(A,B,C,D),c_Set_Oimage(A,E,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(B,E,tc_fun(C,tc_bool)).
% 185.65/185.70    Following clause subsumed by 21 during input processing: 0 [] -c_lesse_quals(A,B,tc_fun(C,tc_bool))|c_lesse_quals(c_Set_Oimage(D,A,C,E),c_Set_Oimage(D,B,C,E),tc_fun(E,tc_bool)).
% 185.65/185.70  ** KEPT (pick-wt=18): 22 [] c_lesse_quals(c_Set_Oinsert(A,B,C),c_Set_Oinsert(A,D,C),tc_fun(C,tc_bool))| -c_lesse_quals(B,D,tc_fun(C,tc_bool)).
% 185.65/185.70  ** KEPT (pick-wt=28): 23 [] c_lesse_quals(c_Relation_OImage(A,B,C,D),c_Relation_OImage(E,F,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(B,F,tc_fun(C,tc_bool))| -c_lesse_quals(A,E,tc_fun(tc_prod(C,D),tc_bool)).
% 185.65/185.70  ** KEPT (pick-wt=10): 24 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_lesse_quals(C,B,A).
% 185.65/185.70  ** KEPT (pick-wt=26): 25 [] hBOOL(hAPP(hAPP(c_in(A),hAPP(B,C)),D))| -hBOOL(hAPP(hAPP(c_in(E),C),F))| -c_lesse_quals(c_Set_Oimage(B,F,E,A),D,tc_fun(A,tc_bool)).
% 185.65/185.70  ** KEPT (pick-wt=28): 26 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(c_COMBC(c_in(C),A,C,tc_fun(C,tc_bool),tc_bool),c_COMBC(c_in(C),B,C,tc_fun(C,tc_bool),tc_bool),tc_fun(C,tc_bool)).
% 185.65/185.70  ** KEPT (pick-wt=28): 27 [] c_lesse_quals(c_COMBC(c_in(A),B,A,tc_fun(A,tc_bool),tc_bool),c_COMBC(c_in(A),C,A,tc_fun(A,tc_bool),tc_bool),tc_fun(A,tc_bool))| -c_lesse_quals(B,C,tc_fun(A,tc_bool)).
% 185.65/185.70  ** KEPT (pick-wt=29): 28 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),B),c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(C,D,tc_fun(tc_prod(A,A),tc_bool)),A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),B),c_Transitive__Closure_Ortrancl(C,A))).
% 185.65/185.70  ** KEPT (pick-wt=29): 29 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),B),c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(C,D,tc_fun(tc_prod(A,A),tc_bool)),A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),B),c_Transitive__Closure_Ortrancl(D,A))).
% 185.65/185.70  ** KEPT (pick-wt=30): 30 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),B),c_Transitive__Closure_Otrancl(C,A)))| -c_lesse_quals(D,C,tc_fun(tc_prod(A,A),tc_bool))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),B),c_Transitive__Closure_Otrancl(D,A))).
% 185.65/185.70  ** KEPT (pick-wt=37): 31 [] c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(A,A,B,B,B),c_Relation_Orel__comp(C,A,B,B,B),tc_fun(tc_prod(B,B),tc_bool)),C,tc_fun(tc_prod(B,B),tc_bool)),B)| -c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(tc_prod(B,B),tc_bool)),B).
% 185.65/185.70  ** KEPT (pick-wt=37): 32 [] c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_prod(C,C),tc_bool)),C)| -c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(A,A,C,C,C),c_Relation_Orel__comp(B,A,C,C,C),tc_fun(tc_prod(C,C),tc_bool)),B,tc_fun(tc_prod(C,C),tc_bool)),C).
% 185.65/185.70  ** KEPT (pick-wt=24): 33 [] c_Relation_Orefl__on(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(D,E,tc_fun(tc_prod(C,C),tc_bool)),C)| -c_Relation_Orefl__on(B,E,C)| -c_Relation_Orefl__on(A,D,C).
% 185.65/185.70  ** KEPT (pick-wt=46): 34 [] c_Relation_Orel__comp(A,B,C,C,C)!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(C,C),tc_bool))|c_Relation_Orel__comp(D,B,C,C,C)!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(C,C),tc_bool))|c_Relation_Orel__comp(c_Lattices_Oupper__semilattice__class_Osup(D,A,tc_fun(tc_prod(C,C),tc_bool)),B,C,C,C)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(C,C),tc_bool)).
% 185.65/185.70  ** KEPT (pick-wt=46): 35 [] c_Relation_Orel__comp(A,B,C,C,C)!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(C,C),tc_bool))|c_Relation_Orel__comp(A,D,C,C,C)!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(C,C),tc_bool))|c_Relation_Orel__comp(A,c_Lattices_Oupper__semilattice__class_Osup(D,B,tc_fun(tc_prod(C,C),tc_bool)),C,C,C)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(C,C),tc_bool)).
% 185.65/185.70  ** KEPT (pick-wt=16): 36 [] c_lesse_quals(c_Relation_Orel__comp(A,A,B,B,B),A,tc_fun(tc_prod(B,B),tc_bool))| -c_Relation_Otrans(A,B).
% 185.65/185.70  ** KEPT (pick-wt=14): 37 [] c_Relation_Otrans(c_Lattices_Oupper__semilattice__class_Osup(A,c_Relation_OId(B),tc_fun(tc_prod(B,B),tc_bool)),B)| -c_Relation_Otrans(A,B).
% 185.65/185.70  ** KEPT (pick-wt=14): 38 [] c_Relation_Oantisym(A,B)| -c_Relation_Oantisym(c_Lattices_Oupper__semilattice__class_Osup(A,c_Relation_OId(B),tc_fun(tc_prod(B,B),tc_bool)),B).
% 185.65/185.70  ** KEPT (pick-wt=14): 39 [] c_Relation_Oantisym(c_Lattices_Oupper__semilattice__class_Osup(A,c_Relation_OId(B),tc_fun(tc_prod(B,B),tc_bool)),B)| -c_Relation_Oantisym(A,B).
% 185.65/185.70  ** KEPT (pick-wt=19): 40 [] -class_Lattices_Olattice(t_b)|hAPP(c_Lattices_Oupper__semilattice__class_Osup(v_f,v_g,tc_fun(t_a,t_b)),v_x)=c_Lattices_Oupper__semilattice__class_Osup(hAPP(v_f,v_x),hAPP(v_g,v_x),t_b).
% 185.65/185.70  ** KEPT (pick-wt=23): 41 [] c_lesse_quals(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool))| -c_lesse_quals(A,B,tc_fun(D,tc_bool)).
% 185.65/185.70    Following clause subsumed by 41 during input processing: 0 [] c_lesse_quals(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool))| -c_lesse_quals(A,B,tc_fun(D,tc_bool)).
% 185.65/185.70  ** KEPT (pick-wt=9): 42 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),B,A).
% 185.65/185.70  ** KEPT (pick-wt=9): 43 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),C,A).
% 185.65/185.70  ** KEPT (pick-wt=17): 44 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(B,C,A).
% 185.65/185.70    Following clause subsumed by 44 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(B,C,A).
% 185.65/185.70    Following clause subsumed by 44 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(B,C,A).
% 185.65/185.70  ** KEPT (pick-wt=9): 45 [] -class_Lattices_Olattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),C,A).
% 185.65/185.70  ** KEPT (pick-wt=9): 46 [] -class_Lattices_Olattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),B,A).
% 185.65/185.70  ** KEPT (pick-wt=28): 47 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(D,E,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))| -c_lesse_quals(B,E,tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)).
% 185.65/185.70  ** KEPT (pick-wt=15): 48 [] A=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))| -c_lesse_quals(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool)).
% 185.65/185.70  ** KEPT (pick-wt=22): 49 [] c_lesse_quals(c_Transitive__Closure_Ortrancl(A,B),c_Transitive__Closure_Ortrancl(C,B),tc_fun(tc_prod(B,B),tc_bool))| -c_lesse_quals(A,c_Transitive__Closure_Ortrancl(C,B),tc_fun(tc_prod(B,B),tc_bool)).
% 185.65/185.70  ** KEPT (pick-wt=14): 50 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))!=B|c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 185.65/185.70  ** KEPT (pick-wt=14): 51 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=A| -c_lesse_quals(B,A,tc_fun(C,tc_bool)).
% 185.65/185.70  ** KEPT (pick-wt=14): 52 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=B| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 185.65/185.70  ** KEPT (pick-wt=12): 53 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=C| -c_lesse_quals(B,C,A).
% 185.65/185.70  ** KEPT (pick-wt=12): 54 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)!=C|c_lesse_quals(B,C,A).
% 185.65/185.70  ** KEPT (pick-wt=12): 55 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=B| -c_lesse_quals(C,B,A).
% 185.65/185.70  ** KEPT (pick-wt=13): 56 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(B,C,A)| -c_lesse_quals(C,B,A).
% 185.65/185.70    Following clause subsumed by 56 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 185.65/185.70    Following clause subsumed by 56 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 185.65/185.70  ** KEPT (pick-wt=15): 57 [] A=B| -c_lesse_quals(B,A,tc_fun(C,tc_bool))| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 185.65/185.70    Following clause subsumed by 57 during input processing: 0 [] A=B| -c_lesse_quals(B,A,tc_fun(C,tc_bool))| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 185.65/185.70  ** KEPT (pick-wt=21): 58 [] -class_Lattices_Olattice(A)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),c_Lattices_Oupper__semilattice__class_Osup(B,D,A),A),A).
% 185.65/185.70  ** KEPT (pick-wt=29): 59 [] c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_prod(C,C),tc_bool)),C)| -c_lesse_quals(c_Relation_Orel__comp(A,B,C,C,C),A,tc_fun(tc_prod(C,C),tc_bool))| -c_Wellfounded_Owf(B,C)| -c_Wellfounded_Owf(A,C).
% 185.65/185.70  ** KEPT (pick-wt=29): 60 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))| -c_lesse_quals(D,A,tc_fun(C,tc_bool)).
% 185.65/185.70  ** KEPT (pick-wt=29): 61 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))!=c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))|c_lesse_quals(D,A,tc_fun(C,tc_bool)).
% 185.65/185.70  ** KEPT (pick-wt=20): 62 [] c_lesse_quals(c_Transitive__Closure_Ortrancl(A,B),c_Transitive__Closure_Ortrancl(C,B),tc_fun(tc_prod(B,B),tc_bool))| -c_lesse_quals(A,C,tc_fun(tc_prod(B,B),tc_bool)).
% 185.65/185.70  ** KEPT (pick-wt=16): 63 [] c_Relation_Osym(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_prod(C,C),tc_bool)),C)| -c_Relation_Osym(B,C)| -c_Relation_Osym(A,C).
% 185.65/185.70  ** KEPT (pick-wt=7): 64 [] -class_Orderings_Obot(A)|c_lesse_quals(c_Orderings_Obot__class_Obot(A),B,A).
% 185.65/185.70  ** KEPT (pick-wt=15): 65 [] c_lesse_quals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool)).
% 185.65/185.70  ** KEPT (pick-wt=15): 66 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(c_Set_Oinsert(D,A,C),B,tc_fun(C,tc_bool)).
% 185.65/185.71  ** KEPT (pick-wt=40): 67 [] c_lesse_quals(c_Transitive__Closure_Otrancl(A,B),C,tc_fun(tc_prod(B,B),tc_bool))| -c_lesse_quals(c_Relation_Orel__comp(c_Lattices_Olower__semilattice__class_Oinf(c_Transitive__Closure_Otrancl(A,B),C,tc_fun(tc_prod(B,B),tc_bool)),A,B,B,B),C,tc_fun(tc_prod(B,B),tc_bool))| -c_lesse_quals(A,C,tc_fun(tc_prod(B,B),tc_bool)).
% 185.65/185.71  ** KEPT (pick-wt=34): 68 [] c_lesse_quals(c_Relation_Orel__comp(A,B,C,D,E),c_Relation_Orel__comp(F,G,C,D,E),tc_fun(tc_prod(C,E),tc_bool))| -c_lesse_quals(B,G,tc_fun(tc_prod(D,E),tc_bool))| -c_lesse_quals(A,F,tc_fun(tc_prod(C,D),tc_bool)).
% 185.65/185.71  ** KEPT (pick-wt=14): 69 [] c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool))=A| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 185.65/185.71  ** KEPT (pick-wt=14): 70 [] c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool))=B| -c_lesse_quals(B,A,tc_fun(C,tc_bool)).
% 185.65/185.71  ** KEPT (pick-wt=12): 71 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=B| -c_lesse_quals(B,C,A).
% 185.65/185.71  ** KEPT (pick-wt=12): 72 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)!=B|c_lesse_quals(B,C,A).
% 185.65/185.71  ** KEPT (pick-wt=12): 73 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=C| -c_lesse_quals(C,B,A).
% 185.65/185.71  ** KEPT (pick-wt=23): 74 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))| -c_lesse_quals(B,D,tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)).
% 185.65/185.71    Following clause subsumed by 74 during input processing: 0 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))| -c_lesse_quals(B,D,tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)).
% 185.65/185.71  ** KEPT (pick-wt=17): 75 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A).
% 185.65/185.71  ** KEPT (pick-wt=9): 76 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A).
% 185.65/185.71  ** KEPT (pick-wt=9): 77 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,B,A),A).
% 185.65/185.71    Following clause subsumed by 75 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A).
% 185.65/185.71    Following clause subsumed by 75 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A).
% 185.65/185.71  ** KEPT (pick-wt=9): 78 [] -class_Lattices_Olattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,B,A),A).
% 185.65/185.71  ** KEPT (pick-wt=9): 79 [] -class_Lattices_Olattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A).
% 185.65/185.71  ** KEPT (pick-wt=21): 80 [] -class_Lattices_Olattice(A)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),c_Lattices_Olower__semilattice__class_Oinf(B,D,A),A),c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A),A).
% 185.65/185.71  ** KEPT (pick-wt=25): 81 [] c_Transitive__Closure_Ortrancl(A,B)=c_Transitive__Closure_Ortrancl(C,B)| -c_lesse_quals(A,c_Transitive__Closure_Ortrancl(C,B),tc_fun(tc_prod(B,B),tc_bool))| -c_lesse_quals(C,A,tc_fun(tc_prod(B,B),tc_bool)).
% 185.65/185.71  ** KEPT (pick-wt=16): 82 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -c_lesse_quals(c_Set_Oinsert(B,D,A),C,tc_fun(A,tc_bool)).
% 185.65/185.71    Following clause subsumed by 65 during input processing: 0 [] c_lesse_quals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool))|hBOOL(hAPP(hAPP(c_in(D),B),A)).
% 185.65/185.71  ** KEPT (pick-wt=22): 83 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))|hBOOL(hAPP(hAPP(c_in(C),D),A))| -c_lesse_quals(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool)).
% 185.65/185.71    Following clause subsumed by 65 during input processing: 0 [] c_lesse_quals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool))|hBOOL(hAPP(hAPP(c_in(D),B),A)).
% 185.65/185.71    Following clause subsumed by 83 during input processing: 0 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool))|hBOOL(hAPP(hAPP(c_in(C),D),A)).
% 185.65/185.71  ** KEPT (pick-wt=17): 84 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,c_Lattices_Olower__semilattice__class_Oinf(D,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 185.65/185.71  ** KEPT (pick-wt=17): 85 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 185.65/185.71  ** KEPT (pick-wt=13): 86 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A).
% 185.65/185.71  ** KEPT (pick-wt=13): 87 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(D,C,A),A).
% 185.65/185.71  ** KEPT (pick-wt=13): 88 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A)| -c_lesse_quals(B,D,A).
% 185.65/185.71  ** KEPT (pick-wt=13): 89 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A)| -c_lesse_quals(C,D,A).
% 185.65/185.71    Following clause subsumed by 86 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A).
% 185.65/185.71    Following clause subsumed by 87 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(D,C,A),A).
% 185.65/185.71  ** KEPT (pick-wt=23): 90 [] hBOOL(hAPP(hAPP(c_in(A),c_List_Osko__Equiv__Relations__XquotientE__1__1(B,C,D,A)),B))| -hBOOL(hAPP(hAPP(c_in(tc_fun(A,tc_bool)),C),c_Equiv__Relations_Oquotient(B,D,A))).
% 185.65/185.71  ** KEPT (pick-wt=18): 91 [] c_lesse_quals(c_Wellfounded_Oacc(A,B),c_Wellfounded_Oacc(C,B),tc_fun(B,tc_bool))| -c_lesse_quals(C,A,tc_fun(tc_prod(B,B),tc_bool)).
% 185.65/185.71  ** KEPT (pick-wt=16): 92 [] -class_HOL_Oord(A)|c_lesse_quals(hAPP(B,C),hAPP(D,C),A)| -c_lesse_quals(B,D,tc_fun(E,A)).
% 185.65/185.71  ** KEPT (pick-wt=18): 93 [] hAPP(c_FuncSet_Orestrict(A,B,C,D),E)=hAPP(A,E)| -hBOOL(hAPP(hAPP(c_in(C),E),B)).
% 185.65/185.71  ** KEPT (pick-wt=20): 94 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(A),B),D))| -c_lesse_quals(D,C,tc_fun(A,tc_bool)).
% 185.65/185.71    Following clause subsumed by 94 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -c_lesse_quals(D,C,tc_fun(A,tc_bool))| -hBOOL(hAPP(hAPP(c_in(A),B),D)).
% 185.65/185.71    Following clause subsumed by 94 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(A),B),D))| -c_lesse_quals(D,C,tc_fun(A,tc_bool)).
% 185.65/185.71    Following clause subsumed by 94 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(A),B),D))| -c_lesse_quals(D,C,tc_fun(A,tc_bool)).
% 185.65/185.71  ** KEPT (pick-wt=19): 95 [] A=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))| -c_lesse_quals(A,c_Relation_OImage(C,A,B,B),tc_fun(B,tc_bool))| -c_Wellfounded_Owf(C,B).
% 185.65/185.71  ** KEPT (pick-wt=20): 96 [] c_lesse_quals(A,c_Relation_Orel__comp(c_Relation_Oconverse(A,B,B),A,B,B,B),tc_fun(tc_prod(B,B),tc_bool))| -c_Relation_Orefl__on(C,A,B).
% 185.65/185.71  ** KEPT (pick-wt=19): 97 [] -class_Lattices_Olattice(t_b)|hAPP(c_Lattices_Olower__semilattice__class_Oinf(v_f,v_g,tc_fun(t_a,t_b)),v_x)=c_Lattices_Olower__semilattice__class_Oinf(hAPP(v_f,v_x),hAPP(v_g,v_x),t_b).
% 185.65/185.71  ** KEPT (pick-wt=22): 98 [] c_lesse_quals(c_Relation_Orel__comp(c_Relation_Oconverse(A,B,B),A,B,B,B),A,tc_fun(tc_prod(B,B),tc_bool))| -c_Relation_Otrans(A,B)| -c_Relation_Osym(A,B).
% 185.65/185.71  ** KEPT (pick-wt=41): 99 [] c_lesse_quals(c_Transitive__Closure_Ortrancl(A,B),C,tc_fun(tc_prod(B,B),tc_bool))| -c_lesse_quals(c_Relation_Orel__comp(c_Lattices_Olower__semilattice__class_Oinf(c_Transitive__Closure_Ortrancl(A,B),C,tc_fun(tc_prod(B,B),tc_bool)),A,B,B,B),C,tc_fun(tc_prod(B,B),tc_bool))| -c_lesse_quals(c_Relation_OId(B),C,tc_fun(tc_prod(B,B),tc_bool)).
% 185.65/185.71  ** KEPT (pick-wt=29): 101 [copy,100,flip.1] c_Relation_OImage(A,c_Set_Oinsert(c_List_Osko__Equiv__Relations__XquotientE__1__1(B,C,A,D),c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),D,D)=C| -hBOOL(hAPP(hAPP(c_in(tc_fun(D,tc_bool)),C),c_Equiv__Relations_Oquotient(B,A,D))).
% 185.65/185.71  ** KEPT (pick-wt=33): 102 [] c_Lattices_Olower__semilattice__class_Oinf(c_Relation_ODomain(A,B,B),c_Relation_ORange(C,B,B),tc_fun(B,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))| -c_Wellfounded_Owf(C,B)| -c_Wellfounded_Owf(A,B)|c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(tc_prod(B,B),tc_bool)),B).
% 185.65/185.71  ** KEPT (pick-wt=43): 103 [] c_lesse_quals(c_Relation_OImage(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C),c_Relation_OImage(A,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C),tc_fun(C,tc_bool))| -hBOOL(hAPP(hAPP(c_in(tc_prod(C,C)),c_Pair(B,D,C,C)),A))| -c_Equiv__Relations_Oe_quiv(E,A,C).
% 185.65/185.71  ** KEPT (pick-wt=53): 104 [] c_Relation_OImage(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)!=c_Relation_OImage(A,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)| -hBOOL(hAPP(hAPP(c_in(C),D),c_Relation_OField(A,C)))| -hBOOL(hAPP(hAPP(c_in(C),B),c_Relation_OField(A,C)))| -c_Relation_Oantisym(A,C)| -c_Relation_Orefl__on(c_Relation_OField(A,C),A,C)|B=D.
% 185.65/185.71  ** KEPT (pick-wt=50): 105 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),D))| -hBOOL(hAPP(hAPP(c_in(A),C),E))| -c_lesse_quals(c_Relation_OImage(D,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A,A),c_Relation_OImage(D,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A,A),tc_fun(A,tc_bool))| -c_Equiv__Relations_Oe_quiv(E,D,A).
% 185.65/185.71  ** KEPT (pick-wt=28): 106 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Relation_OImage(C,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A,A)))| -hBOOL(hAPP(hAPP(c_in(A),B),D))| -c_Equiv__Relations_Oe_quiv(D,C,A).
% 185.65/185.71  ** KEPT (pick-wt=32): 107 [] c_Relation_OImage(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),D,E)=c_Lattices_Olower__semilattice__class_Oinf(c_Relation_OImage(A,B,D,E),c_Relation_OImage(A,C,D,E),tc_fun(E,tc_bool))| -c_Relation_Osingle__valued(c_Relation_Oconverse(A,D,E),E,D).
% 185.65/185.71  ** KEPT (pick-wt=49): 108 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),D))| -hBOOL(hAPP(hAPP(c_in(A),E),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_OImage(D,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A,A),c_Relation_OImage(D,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A,A),tc_fun(A,tc_bool))))| -c_Equiv__Relations_Oe_quiv(F,D,A).
% 185.65/185.71  ** KEPT (pick-wt=52): 109 [] c_Equiv__Relations_Oquotient(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),C,B)!=c_Equiv__Relations_Oquotient(c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),C,B)| -hBOOL(hAPP(hAPP(c_in(B),D),E))| -hBOOL(hAPP(hAPP(c_in(B),A),E))| -c_Equiv__Relations_Oe_quiv(E,C,B)|hBOOL(hAPP(hAPP(c_in(tc_prod(B,B)),c_Pair(A,D,B,B)),C)).
% 185.65/185.71  ** KEPT (pick-wt=52): 110 [] c_Equiv__Relations_Oquotient(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),C,B)=c_Equiv__Relations_Oquotient(c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),C,B)| -hBOOL(hAPP(hAPP(c_in(tc_prod(B,B)),c_Pair(A,D,B,B)),C))| -hBOOL(hAPP(hAPP(c_in(B),D),E))| -hBOOL(hAPP(hAPP(c_in(B),A),E))| -c_Equiv__Relations_Oe_quiv(E,C,B).
% 185.65/185.71  ** KEPT (pick-wt=13): 111 [] c_Set_Oinsert(A,B,C)=B| -hBOOL(hAPP(hAPP(c_in(C),A),B)).
% 185.65/185.71  ** KEPT (pick-wt=26): 112 [] c_Set_Oinsert(A,B,C)!=c_Set_Oinsert(A,D,C)|hBOOL(hAPP(hAPP(c_in(C),A),D))|hBOOL(hAPP(hAPP(c_in(C),A),B))|B=D.
% 185.65/185.71  ** KEPT (pick-wt=19): 113 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(A),B),c_Lattices_Olower__semilattice__class_Oinf(C,D,tc_fun(A,tc_bool)))).
% 185.65/185.71  ** KEPT (pick-wt=19): 114 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(A),B),c_Lattices_Olower__semilattice__class_Oinf(D,C,tc_fun(A,tc_bool)))).
% 185.65/185.71  ** KEPT (pick-wt=20): 115 [] hBOOL(hAPP(hAPP(c_in(A),B),C))|B=D| -hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(D,C,A))).
% 185.65/185.71  ** KEPT (pick-wt=17): 116 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(C,D,A)))| -hBOOL(hAPP(hAPP(c_in(A),B),D)).
% 185.65/185.71    Following clause subsumed by 116 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(C,D,A)))| -hBOOL(hAPP(hAPP(c_in(A),B),D)).
% 185.65/185.71  ** KEPT (pick-wt=26): 117 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Lattices_Olower__semilattice__class_Oinf(C,D,tc_fun(A,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(A),B),D))| -hBOOL(hAPP(hAPP(c_in(A),B),C)).
% 185.65/185.71    Following clause subsumed by 117 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Lattices_Olower__semilattice__class_Oinf(C,D,tc_fun(A,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(A),B),D))| -hBOOL(hAPP(hAPP(c_in(A),B),C)).
% 185.65/185.71  ** KEPT (pick-wt=16): 118 [] c_Relation_Osym(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(tc_prod(C,C),tc_bool)),C)| -c_Relation_Osym(B,C)| -c_Relation_Osym(A,C).
% 185.65/185.71  ** KEPT (pick-wt=13): 119 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_fun(D,tc_bool)),B)).
% 185.65/185.71  ** KEPT (pick-wt=13): 120 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(C,A,tc_fun(D,tc_bool)),B)).
% 185.65/185.71  ** KEPT (pick-wt=11): 121 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),D))| -hBOOL(hAPP(B,D)).
% 185.65/185.71  ** KEPT (pick-wt=18): 122 [] c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)!=c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)|A=C.
% 185.65/185.71  ** KEPT (pick-wt=11): 123 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=c_Lattices_Olower__semilattice__class_Oinf(C,B,A).
% 185.65/185.71  ** KEPT (pick-wt=11): 124 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=c_Lattices_Olower__semilattice__class_Oinf(C,B,A).
% 185.65/185.71  ** KEPT (pick-wt=20): 126 [copy,125,flip.2] -class_Lattices_Odistrib__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),c_Lattices_Olower__semilattice__class_Oinf(D,C,A),A)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),C,A).
% 185.65/185.71  ** KEPT (pick-wt=20): 128 [copy,127,flip.2] -class_Lattices_Odistrib__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),c_Lattices_Olower__semilattice__class_Oinf(B,D,A),A)=c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A).
% 185.65/185.71  ** KEPT (pick-wt=9): 129 [] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 185.65/185.71  ** KEPT (pick-wt=14): 130 [] hBOOL(hAPP(A,B))|C=B| -hBOOL(hAPP(c_Set_Oinsert(C,A,D),B)).
% 185.65/185.71  ** KEPT (pick-wt=10): 131 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Orderings_Obot__class_Obot(A),A)=c_Orderings_Obot__class_Obot(A).
% 185.65/185.71  ** KEPT (pick-wt=10): 132 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(A),B,A)=c_Orderings_Obot__class_Obot(A).
% 185.65/185.71  ** KEPT (pick-wt=17): 133 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A)=c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A).
% 185.65/185.71  ** KEPT (pick-wt=17): 134 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)=c_Lattices_Olower__semilattice__class_Oinf(C,c_Lattices_Olower__semilattice__class_Oinf(B,D,A),A).
% 185.65/185.71  ** KEPT (pick-wt=17): 135 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)=c_Lattices_Olower__semilattice__class_Oinf(C,c_Lattices_Olower__semilattice__class_Oinf(B,D,A),A).
% 185.65/185.71  ** KEPT (pick-wt=17): 136 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A)=c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A).
% 185.65/185.71  ** KEPT (pick-wt=16): 137 [] c_Relation_Otrans(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(tc_prod(C,C),tc_bool)),C)| -c_Relation_Otrans(B,C)| -c_Relation_Otrans(A,C).
% 185.65/185.71  ** KEPT (pick-wt=11): 138 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Olower__semilattice__class_Oinf(B,C,A),A)=B.
% 185.65/185.71  ** KEPT (pick-wt=11): 139 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A)=B.
% 185.65/185.71  ** KEPT (pick-wt=24): 140 [] c_Relation_Orefl__on(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(D,E,tc_fun(tc_prod(C,C),tc_bool)),C)| -c_Relation_Orefl__on(B,E,C)| -c_Relation_Orefl__on(A,D,C).
% 185.65/185.71  ** KEPT (pick-wt=27): 141 [] c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)!=c_Set_Oinsert(D,c_Set_Oinsert(E,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)|A=E|A=D.
% 185.65/185.71  ** KEPT (pick-wt=27): 142 [] c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)!=c_Set_Oinsert(D,c_Set_Oinsert(E,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)|B=D|A=D.
% 185.65/185.71  ** KEPT (pick-wt=27): 143 [] c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)!=c_Set_Oinsert(D,c_Set_Oinsert(E,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)|A=E|B=E.
% 185.65/185.71  ** KEPT (pick-wt=27): 144 [] c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)!=c_Set_Oinsert(D,c_Set_Oinsert(E,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)|B=D|B=E.
% 185.65/185.71  ** KEPT (pick-wt=9): 145 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 185.65/185.71  ** KEPT (pick-wt=26): 147 [copy,146,flip.1] c_Set_Oinsert(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),D)=c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(A,B,D),C,tc_fun(D,tc_bool))| -hBOOL(hAPP(hAPP(c_in(D),A),C)).
% 185.65/185.71  ** KEPT (pick-wt=26): 149 [copy,148,flip.1] c_Set_Oinsert(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),D)=c_Lattices_Olower__semilattice__class_Oinf(B,c_Set_Oinsert(A,C,D),tc_fun(D,tc_bool))| -hBOOL(hAPP(hAPP(c_in(D),A),B)).
% 185.65/185.71  ** KEPT (pick-wt=20): 150 [] -class_Lattices_Odistrib__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A).
% 185.65/185.71  ** KEPT (pick-wt=20): 151 [] -class_Lattices_Odistrib__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),c_Lattices_Oupper__semilattice__class_Osup(B,D,A),A).
% 185.65/185.71  ** KEPT (pick-wt=14): 152 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(B,C,A),A)=c_Lattices_Olower__semilattice__class_Oinf(B,C,A).
% 185.65/185.71  ** KEPT (pick-wt=14): 153 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(B,C,A),A)=c_Lattices_Olower__semilattice__class_Oinf(B,C,A).
% 185.65/185.71  ** KEPT (pick-wt=13): 154 [] c_Wellfounded_Owf(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(tc_prod(C,C),tc_bool)),C)| -c_Wellfounded_Owf(A,C).
% 185.65/185.71  ** KEPT (pick-wt=13): 155 [] c_Wellfounded_Owf(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(tc_prod(C,C),tc_bool)),C)| -c_Wellfounded_Owf(B,C).
% 185.65/185.71  ** KEPT (pick-wt=8): 156 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,B,A)=B.
% 185.65/185.71  ** KEPT (pick-wt=19): 157 [] -class_Lattices_Olattice(A)|hAPP(c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(t_a,A)),v_x)=c_Lattices_Olower__semilattice__class_Oinf(hAPP(B,v_x),hAPP(C,v_x),A).
% 185.65/185.71  ** KEPT (pick-wt=17): 158 [] hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(B,D))| -hBOOL(hAPP(A,D)).
% 185.65/185.71  ** KEPT (pick-wt=42): 159 [] c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|A=B| -hBOOL(hAPP(hAPP(c_in(tc_fun(C,tc_bool)),B),c_Equiv__Relations_Oquotient(D,E,C)))| -hBOOL(hAPP(hAPP(c_in(tc_fun(C,tc_bool)),A),c_Equiv__Relations_Oquotient(D,E,C)))| -c_Equiv__Relations_Oe_quiv(D,E,C).
% 185.65/185.71    Following clause subsumed by 129 during input processing: 0 [] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|hBOOL(hAPP(hAPP(c_in(C),A),B)).
% 185.65/185.71  ** KEPT (pick-wt=16): 160 [] A=B| -hBOOL(hAPP(hAPP(c_in(C),A),c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C))).
% 185.65/185.71  ** KEPT (pick-wt=25): 161 [] -hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(A),B),D))|c_Lattices_Olower__semilattice__class_Oinf(D,C,tc_fun(A,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 185.65/185.71  ** KEPT (pick-wt=23): 162 [] c_Set_Oinsert(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)=c_Set_Oimage(A,C,D,E)| -hBOOL(hAPP(hAPP(c_in(D),B),C)).
% 185.65/185.71  ** KEPT (pick-wt=29): 163 [] hBOOL(hAPP(hAPP(c_in(tc_fun(A,tc_bool)),c_Relation_OImage(B,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A,A)),c_Equiv__Relations_Oquotient(D,B,A)))| -hBOOL(hAPP(hAPP(c_in(A),C),D)).
% 185.65/185.71  ** KEPT (pick-wt=30): 164 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Relation_OImage(C,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(E,tc_bool)),E),E,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(E,A)),c_Pair(D,B,E,A)),C)).
% 185.65/185.71  ** KEPT (pick-wt=30): 165 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,B)),c_Pair(C,D,A,B)),E))| -hBOOL(hAPP(hAPP(c_in(B),D),c_Relation_OImage(E,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A,B))).
% 185.65/185.71  ** KEPT (pick-wt=58): 166 [] A=B| -hBOOL(hAPP(hAPP(c_in(tc_prod(C,C)),c_Pair(D,E,C,C)),F))| -hBOOL(hAPP(hAPP(c_in(C),E),B))| -hBOOL(hAPP(hAPP(c_in(C),D),A))| -hBOOL(hAPP(hAPP(c_in(tc_fun(C,tc_bool)),B),c_Equiv__Relations_Oquotient(G,F,C)))| -hBOOL(hAPP(hAPP(c_in(tc_fun(C,tc_bool)),A),c_Equiv__Relations_Oquotient(G,F,C)))| -c_Equiv__Relations_Oe_quiv(G,F,C).
% 185.65/185.71  ** KEPT (pick-wt=43): 168 [copy,167,factor_simp] -hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(A),D),C))| -hBOOL(hAPP(hAPP(c_in(tc_fun(A,tc_bool)),C),c_Equiv__Relations_Oquotient(E,F,A)))| -c_Equiv__Relations_Oe_quiv(E,F,A)|hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(D,B,A,A)),F)).
% 185.65/185.71  ** KEPT (pick-wt=40): 169 [] c_Relation_OImage(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)=c_Relation_OImage(A,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)| -hBOOL(hAPP(hAPP(c_in(tc_prod(C,C)),c_Pair(B,D,C,C)),A))| -c_Equiv__Relations_Oe_quiv(E,A,C).
% 185.65/185.71    Following clause subsumed by 169 during input processing: 0 [] c_Relation_OImage(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)=c_Relation_OImage(A,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)| -hBOOL(hAPP(hAPP(c_in(tc_prod(C,C)),c_Pair(B,D,C,C)),A))| -c_Equiv__Relations_Oe_quiv(E,A,C).
% 185.65/185.71  ** KEPT (pick-wt=47): 170 [] c_Relation_OImage(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)!=c_Relation_OImage(A,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)|hBOOL(hAPP(hAPP(c_in(tc_prod(C,C)),c_Pair(B,D,C,C)),A))| -hBOOL(hAPP(hAPP(c_in(C),D),E))| -c_Equiv__Relations_Oe_quiv(E,A,C).
% 185.65/185.71    Following clause subsumed by 170 during input processing: 0 [] c_Relation_OImage(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)!=c_Relation_OImage(A,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)| -c_Equiv__Relations_Oe_quiv(E,A,C)|hBOOL(hAPP(hAPP(c_in(tc_prod(C,C)),c_Pair(B,D,C,C)),A))| -hBOOL(hAPP(hAPP(c_in(C),D),E))| -hBOOL(hAPP(hAPP(c_in(C),B),E)).
% 185.65/185.71    Following clause subsumed by 169 during input processing: 0 [] c_Relation_OImage(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)=c_Relation_OImage(A,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)| -hBOOL(hAPP(hAPP(c_in(tc_prod(C,C)),c_Pair(B,D,C,C)),A))| -hBOOL(hAPP(hAPP(c_in(C),D),E))| -hBOOL(hAPP(hAPP(c_in(C),B),E))| -c_Equiv__Relations_Oe_quiv(E,A,C).
% 185.65/185.71    Following clause subsumed by 170 during input processing: 0 [] c_Relation_OImage(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)!=c_Relation_OImage(A,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)| -hBOOL(hAPP(hAPP(c_in(C),D),E))| -hBOOL(hAPP(hAPP(c_in(C),B),E))| -c_Equiv__Relations_Oe_quiv(E,A,C)|hBOOL(hAPP(hAPP(c_in(tc_prod(C,C)),c_Pair(B,D,C,C)),A)).
% 185.65/185.71  ** KEPT (pick-wt=35): 171 [] c_Lattices_Olower__semilattice__class_Oinf(c_Relation_Oconverse(A,B,B),c_Transitive__Closure_Ortrancl(A,B),tc_fun(tc_prod(B,B),tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(B,B),tc_bool))| -hBOOL(hAPP(hAPP(c_in(tc_prod(B,B)),c_Pair(C,C,B,B)),c_Transitive__Closure_Otrancl(A,B))).
% 185.65/185.71  ** KEPT (pick-wt=11): 172 [] c_Wellfounded_Owf(A,B)| -c_Wellfounded_Owf(c_Relation_Orel__comp(A,A,B,B,B),B).
% 185.65/185.71  ** KEPT (pick-wt=11): 173 [] c_Wellfounded_Owf(c_Relation_Orel__comp(A,A,B,B,B),B)| -c_Wellfounded_Owf(A,B).
% 185.65/185.71  ** KEPT (pick-wt=17): 174 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)=c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A).
% 185.65/185.71  ** KEPT (pick-wt=17): 175 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)=c_Lattices_Oupper__semilattice__class_Osup(C,c_Lattices_Oupper__semilattice__class_Osup(B,D,A),A).
% 185.65/185.71  ** KEPT (pick-wt=17): 176 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)=c_Lattices_Oupper__semilattice__class_Osup(C,c_Lattices_Oupper__semilattice__class_Osup(B,D,A),A).
% 185.65/185.71  ** KEPT (pick-wt=17): 177 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)=c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A).
% 185.65/185.71  ** KEPT (pick-wt=8): 178 [] c_Relation_Osym(c_Transitive__Closure_Ortrancl(A,B),B)| -c_Relation_Osym(A,B).
% 185.65/185.71  ** KEPT (pick-wt=11): 179 [] c_Relation_Orefl__on(A,c_Relation_Oconverse(B,C,C),C)| -c_Relation_Orefl__on(A,B,C).
% 185.65/185.71  ** KEPT (pick-wt=11): 180 [] c_Relation_Orefl__on(A,B,C)| -c_Relation_Orefl__on(A,c_Relation_Oconverse(B,C,C),C).
% 185.65/185.71  ** KEPT (pick-wt=20): 181 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(A,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(A,C,D)))| -hBOOL(hAPP(hAPP(c_in(D),B),c_Wellfounded_Oacc(C,D))).
% 185.65/185.71  ** KEPT (pick-wt=14): 182 [] c_Wellfounded_Owf(c_Relation_Oconverse(c_Transitive__Closure_Otrancl(A,B),B,B),B)| -c_Wellfounded_Owf(c_Relation_Oconverse(A,B,B),B).
% 185.65/185.71  ** KEPT (pick-wt=17): 183 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|B=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 185.65/185.71  ** KEPT (pick-wt=17): 184 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|A=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 185.65/185.71  ** KEPT (pick-wt=13): 185 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)!=c_Orderings_Obot__class_Obot(A)|B=c_Orderings_Obot__class_Obot(A).
% 185.65/185.71  ** KEPT (pick-wt=13): 186 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)!=c_Orderings_Obot__class_Obot(A)|C=c_Orderings_Obot__class_Obot(A).
% 185.65/185.71  ** KEPT (pick-wt=23): 187 [] c_Fun_Ocomp(A,B,C,D,E)!=c_Fun_Ocomp(c_Fun_Oid(D),F,D,D,E)|hAPP(A,hAPP(B,G))=hAPP(F,G).
% 185.65/185.71  ** KEPT (pick-wt=21): 188 [] -hBOOL(hAPP(hAPP(c_in(A),c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1(B,C,A)),c_Wellfounded_Oacc(B,A)))|hBOOL(hAPP(hAPP(c_in(A),C),c_Wellfounded_Oacc(B,A))).
% 185.65/185.71  ** KEPT (pick-wt=11): 189 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=c_Lattices_Oupper__semilattice__class_Osup(C,B,A).
% 185.65/185.71  ** KEPT (pick-wt=11): 190 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=c_Lattices_Oupper__semilattice__class_Osup(C,B,A).
% 185.65/185.71  ** KEPT (pick-wt=14): 191 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A)=c_Lattices_Oupper__semilattice__class_Osup(B,C,A).
% 185.65/185.71  ** KEPT (pick-wt=14): 192 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A)=c_Lattices_Oupper__semilattice__class_Osup(B,C,A).
% 185.65/185.71  ** KEPT (pick-wt=17): 193 [] c_Relation_ODomain(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))|A=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(B,C),tc_bool)).
% 185.65/185.72  ** KEPT (pick-wt=23): 194 [] hBOOL(hAPP(hAPP(c_in(A),c_ATP__Linkup_Osko__Relation__XImage__iff__1__1(B,C,D,A,E)),B))| -hBOOL(hAPP(hAPP(c_in(E),C),c_Relation_OImage(D,B,A,E))).
% 185.65/185.72  ** KEPT (pick-wt=9): 195 [] c_Relation_Osym(c_Relation_Oconverse(A,B,B),B)| -c_Relation_Osym(A,B).
% 185.65/185.72  ** KEPT (pick-wt=9): 196 [] c_Relation_Osym(A,B)| -c_Relation_Osym(c_Relation_Oconverse(A,B,B),B).
% 185.65/185.72  ** KEPT (pick-wt=25): 197 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(hAPP(c_in(C),c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(A,D,C)),c_Wellfounded_Oacc(D,C)))| -hBOOL(hAPP(hAPP(c_in(C),B),c_Wellfounded_Oacc(D,C))).
% 185.65/185.72  ** KEPT (pick-wt=16): 198 [] c_Relation_Orel__comp(A,A,B,B,B)!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(B,B),tc_bool))|c_Wellfounded_Owf(A,B).
% 185.65/185.72  ** KEPT (pick-wt=19): 199 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(A,v_sko__Wellfounded__Xacc__Xinducts__1(A,C)))| -hBOOL(hAPP(hAPP(c_in(t_a),B),c_Wellfounded_Oacc(C,t_a))).
% 185.65/185.72  ** KEPT (pick-wt=8): 200 [] c_Transitive__Closure_Otrancl(A,B)=A| -c_Relation_Otrans(A,B).
% 185.65/185.72  ** KEPT (pick-wt=20): 201 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(A,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(A,C,D)))| -hBOOL(hAPP(hAPP(c_in(D),B),c_Wellfounded_Oacc(C,D))).
% 185.65/185.72  ** KEPT (pick-wt=8): 202 [] c_Relation_Osym(c_Transitive__Closure_Otrancl(A,B),B)| -c_Relation_Osym(A,B).
% 185.65/185.72  ** KEPT (pick-wt=23): 203 [] hBOOL(hAPP(hAPP(c_in(A),c_ATP__Linkup_Osko__Relation__XImageE__1__1(B,C,D,A,E)),B))| -hBOOL(hAPP(hAPP(c_in(E),C),c_Relation_OImage(D,B,A,E))).
% 185.65/185.72  ** KEPT (pick-wt=12): 204 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Wellfounded_Oacc(C,A)))| -c_Wellfounded_Owf(C,A).
% 185.65/185.72  ** KEPT (pick-wt=19): 205 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Lattices_Oupper__semilattice__class_Osup(C,D,tc_fun(A,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(A),B),C)).
% 185.65/185.72  ** KEPT (pick-wt=19): 206 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Lattices_Oupper__semilattice__class_Osup(C,D,tc_fun(A,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(A),B),D)).
% 185.65/185.72  ** KEPT (pick-wt=10): 207 [] -hBOOL(hAPP(hAPP(c_in(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))).
% 185.65/185.72    Following clause subsumed by 207 during input processing: 0 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_in(C),B),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)))).
% 185.65/185.72    Following clause subsumed by 207 during input processing: 0 [] -hBOOL(hAPP(hAPP(c_in(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))).
% 185.65/185.72    Following clause subsumed by 207 during input processing: 0 [] -hBOOL(hAPP(hAPP(c_in(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))).
% 185.65/185.72  ** KEPT (pick-wt=26): 208 [] hBOOL(hAPP(hAPP(c_in(A),B),C))|hBOOL(hAPP(hAPP(c_in(A),B),D))| -hBOOL(hAPP(hAPP(c_in(A),B),c_Lattices_Oupper__semilattice__class_Osup(D,C,tc_fun(A,tc_bool)))).
% 185.65/185.72    Following clause subsumed by 207 during input processing: 0 [] -hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_in(C),B),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)))).
% 185.65/185.72  ** KEPT (pick-wt=22): 209 [] c_COMBC(c_in(A),B,A,tc_fun(A,tc_bool),tc_bool)!=c_COMBC(c_in(A),C,A,tc_fun(A,tc_bool),tc_bool)|B=C.
% 185.65/185.72  ** KEPT (pick-wt=20): 210 [] -hBOOL(hAPP(hAPP(c_in(A),B),C))|hBOOL(hAPP(hAPP(c_in(D),hAPP(E,B)),c_Set_Oimage(E,C,A,D))).
% 185.65/185.72    Following clause subsumed by 210 during input processing: 0 [] -hBOOL(hAPP(hAPP(c_in(A),B),C))|hBOOL(hAPP(hAPP(c_in(D),hAPP(E,B)),c_Set_Oimage(E,C,A,D))).
% 185.65/185.72    Following clause subsumed by 210 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),hAPP(B,C)),c_Set_Oimage(B,D,E,A)))| -hBOOL(hAPP(hAPP(c_in(E),C),D)).
% 185.65/185.72    Following clause subsumed by 210 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),hAPP(B,C)),c_Set_Oimage(B,D,E,A)))| -hBOOL(hAPP(hAPP(c_in(E),C),D)).
% 185.65/185.72  ** KEPT (pick-wt=24): 211 [] hBOOL(hAPP(hAPP(hAPP(A,B),C),D))| -hBOOL(hAPP(hAPP(c_split(A,E,F,tc_fun(G,tc_bool)),c_Pair(B,C,E,F)),D)).
% 185.65/185.72  ** KEPT (pick-wt=36): 212 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Otrancl(c_Relation_Oconverse(D,A,A),A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Relation_Oconverse(c_Transitive__Closure_Otrancl(D,A),A,A))).
% 185.65/185.72  ** KEPT (pick-wt=36): 213 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Relation_Oconverse(c_Transitive__Closure_Otrancl(D,A),A,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Otrancl(c_Relation_Oconverse(D,A,A),A))).
% 185.65/185.72  ** KEPT (pick-wt=45): 214 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Otrancl(D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(E,C,A,A)),c_Transitive__Closure_Otrancl(D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,E,A,A)),c_Transitive__Closure_Ortrancl(D,A))).
% 185.65/185.72  ** KEPT (pick-wt=45): 215 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Otrancl(D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(E,C,A,A)),c_Transitive__Closure_Ortrancl(D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,E,A,A)),c_Transitive__Closure_Otrancl(D,A))).
% 185.65/185.72  ** KEPT (pick-wt=30): 216 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Ortrancl(D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Otrancl(D,A))).
% 185.65/185.72  ** KEPT (pick-wt=64): 217 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Ortrancl(D,A)))|hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(C,B,A,A)),c_Transitive__Closure_Ortrancl(D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(E,B,A,A)),c_Transitive__Closure_Ortrancl(D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(E,C,A,A)),c_Transitive__Closure_Ortrancl(D,A)))| -c_Relation_Osingle__valued(D,A,A).
% 185.65/185.72  ** KEPT (pick-wt=33): 218 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Ortrancl(D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(C,B,A,A)),c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(D,A,A),A))).
% 185.65/185.72  ** KEPT (pick-wt=33): 219 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(D,A,A),A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(C,B,A,A)),c_Transitive__Closure_Ortrancl(D,A))).
% 185.65/185.72  ** KEPT (pick-wt=33): 220 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Otrancl(D,A)))|B=C| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Ortrancl(D,A))).
% 185.65/185.72    Following clause subsumed by 220 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Otrancl(D,A)))|B=C| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Ortrancl(D,A))).
% 185.65/185.72    Following clause subsumed by 216 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Ortrancl(D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Otrancl(D,A)))|B=C.
% 185.65/185.72  ** KEPT (pick-wt=43): 221 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Otrancl(D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(E,C,A,A)),D))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,E,A,A)),c_Transitive__Closure_Ortrancl(D,A))).
% 185.65/185.72  ** KEPT (pick-wt=43): 222 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Otrancl(D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(E,C,A,A)),c_Transitive__Closure_Ortrancl(D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,E,A,A)),D)).
% 185.65/185.72  ** KEPT (pick-wt=20): 223 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),B),c_Transitive__Closure_Otrancl(C,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),B),C)).
% 185.65/185.72  ** KEPT (pick-wt=20): 224 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),B),c_Transitive__Closure_Ortrancl(C,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),B),C)).
% 185.65/185.72  ** KEPT (pick-wt=9): 225 [] c_Relation_Oconverse(A,B,B)=A| -c_Relation_Osym(A,B).
% 185.65/185.72  ** KEPT (pick-wt=9): 226 [] c_Relation_Oconverse(A,B,B)!=A|c_Relation_Osym(A,B).
% 185.65/185.72  ** KEPT (pick-wt=8): 227 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,B,A)=B.
% 185.65/185.72  ** KEPT (pick-wt=19): 228 [] -class_Lattices_Olattice(A)|hAPP(c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(t_a,A)),v_x)=c_Lattices_Oupper__semilattice__class_Osup(hAPP(B,v_x),hAPP(C,v_x),A).
% 185.65/185.72  ** KEPT (pick-wt=10): 229 [] c_Wellfounded_Owf(c_Relation_Oinv__image(A,B,C,D),D)| -c_Wellfounded_Owf(A,C).
% 185.65/185.72  ** KEPT (pick-wt=11): 230 [] -class_Orderings_Obot(A)|hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,A)),v_x)=c_Orderings_Obot__class_Obot(A).
% 185.65/185.72  ** KEPT (pick-wt=10): 231 [] c_Relation_Osym(c_Relation_Oinv__image(A,B,C,D),D)| -c_Relation_Osym(A,C).
% 185.65/185.72  ** KEPT (pick-wt=16): 232 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oimage(B,C,D,A)|C=c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)).
% 185.65/185.72  ** KEPT (pick-wt=9): 233 [] c_Relation_Otrans(A,B)| -c_Relation_Otrans(c_Relation_Oconverse(A,B,B),B).
% 185.65/185.72  ** KEPT (pick-wt=9): 234 [] c_Relation_Otrans(c_Relation_Oconverse(A,B,B),B)| -c_Relation_Otrans(A,B).
% 185.65/185.72  ** KEPT (pick-wt=8): 235 [] c_Wellfounded_Owf(c_Transitive__Closure_Otrancl(A,B),B)| -c_Wellfounded_Owf(A,B).
% 185.65/185.72  ** KEPT (pick-wt=10): 236 [] c_Relation_Otrans(c_Relation_Oinv__image(A,B,C,D),D)| -c_Relation_Otrans(A,C).
% 185.65/185.72  ** KEPT (pick-wt=18): 237 [] c_Relation_Orel__comp(c_Relation_Oconverse(A,B,B),A,B,B,B)!=A|c_Equiv__Relations_Oe_quiv(c_Relation_ODomain(A,B,B),A,B).
% 185.65/185.72  ** KEPT (pick-wt=17): 238 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(C,B))| -hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(C,A,tc_fun(D,tc_bool)),B)).
% 185.65/185.72  ** KEPT (pick-wt=13): 239 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(B,D)).
% 185.65/185.72  ** KEPT (pick-wt=13): 240 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(A,D)).
% 185.65/185.72  ** KEPT (pick-wt=20): 241 [] hBOOL(hAPP(hAPP(c_in(A),c_ATP__Linkup_Osko__Wellfounded__Xwf__e_q__minimal__1__1(B,C,A)),B))| -hBOOL(hAPP(hAPP(c_in(A),D),B))| -c_Wellfounded_Owf(C,A).
% 185.65/185.72  ** KEPT (pick-wt=17): 242 [] c_Relation_Osingle__valued(c_Relation_Orel__comp(A,B,C,D,E),C,E)| -c_Relation_Osingle__valued(B,D,E)| -c_Relation_Osingle__valued(A,C,D).
% 185.65/185.72  ** KEPT (pick-wt=12): 243 [] hAPP(A,B)=C| -hBOOL(c_Record_Oiso__tuple__surjective__proof__assist(B,C,A,D,E)).
% 185.65/185.72  ** KEPT (pick-wt=9): 244 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Orderings_Obot__class_Obot(A),A)=B.
% 185.65/185.72  ** KEPT (pick-wt=9): 245 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(A),B,A)=B.
% 185.65/185.72  ** KEPT (pick-wt=15): 246 [] c_Relation_Orel__comp(c_Relation_Oconverse(A,B,B),A,B,B,B)=A| -c_Equiv__Relations_Oe_quiv(C,A,B).
% 185.65/185.72  ** KEPT (pick-wt=9): 247 [] c_Relation_Oantisym(A,B)| -c_Relation_Oantisym(c_Relation_Oconverse(A,B,B),B).
% 185.65/185.72  ** KEPT (pick-wt=9): 248 [] c_Relation_Oantisym(c_Relation_Oconverse(A,B,B),B)| -c_Relation_Oantisym(A,B).
% 185.65/185.72  ** KEPT (pick-wt=7): 249 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B)).
% 185.65/185.72  ** KEPT (pick-wt=11): 250 [] -hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(A,tc_fun(B,tc_bool))),C),D)).
% 185.65/185.72  ** KEPT (pick-wt=19): 251 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(A,v_sko__Wellfounded__Xacc__Xinduct__1(A,C)))| -hBOOL(hAPP(hAPP(c_in(t_a),B),c_Wellfounded_Oacc(C,t_a))).
% 185.65/185.72  ** KEPT (pick-wt=8): 252 [] c_Relation_Orefl__on(A,B,C)| -c_Equiv__Relations_Oe_quiv(A,B,C).
% 185.65/185.72  ** KEPT (pick-wt=14): 253 [] c_Product__Type_OPair__Rep(A,B,C,D)!=c_Product__Type_OPair__Rep(E,F,C,D)|A=E.
% 185.65/185.72  ** KEPT (pick-wt=14): 254 [] c_Product__Type_OPair__Rep(A,B,C,D)!=c_Product__Type_OPair__Rep(E,F,C,D)|B=F.
% 185.65/185.72  ** KEPT (pick-wt=20): 255 [] hBOOL(hAPP(hAPP(c_in(A),c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1(B,C,A)),B))| -hBOOL(hAPP(hAPP(c_in(A),D),B))| -c_Wellfounded_Owf(C,A).
% 185.65/185.72  ** KEPT (pick-wt=7): 256 [] c_Relation_Osym(A,B)| -c_Equiv__Relations_Oe_quiv(C,A,B).
% 185.65/185.72  ** KEPT (pick-wt=21): 257 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Wellfounded_Oacc(C,A)))| -hBOOL(hAPP(hAPP(c_in(A),c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1(C,B,A)),c_Wellfounded_Oacc(C,A))).
% 185.65/185.72  ** KEPT (pick-wt=25): 258 [] c_Equiv__Relations_Ocongruent(A,hAPP(B,C),D,E)| -hBOOL(hAPP(hAPP(c_in(F),C),G))| -c_Equiv__Relations_Ocongruent2(H,A,B,F,D,E)| -c_Equiv__Relations_Oe_quiv(G,H,F).
% 185.65/185.72  ** KEPT (pick-wt=16): 259 [] c_Set_Oimage(A,B,C,D)!=c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool))|B=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 185.65/185.72  ** KEPT (pick-wt=24): 260 [] c_Fun_Ocomp(A,B,C,D,E)!=c_Fun_Ocomp(F,G,H,D,E)|hAPP(A,hAPP(B,I))=hAPP(F,hAPP(G,I)).
% 185.65/185.72  ** KEPT (pick-wt=28): 261 [] hAPP(A,hAPP(B,C))!=hAPP(D,hAPP(E,F))|hAPP(c_Fun_Ocomp(A,B,G,H,I),C)=hAPP(c_Fun_Ocomp(D,E,J,H,K),F).
% 185.65/185.72  ** KEPT (pick-wt=11): 262 [] A=B| -hBOOL(c_Record_Oiso__tuple__surjective__proof__assist(A,B,c_Fun_Oid(C),C,C)).
% 185.65/185.72  ** KEPT (pick-wt=11): 263 [] c_Relation_Ototal__on(A,B,C)| -c_Relation_Ototal__on(A,c_Relation_Oconverse(B,C,C),C).
% 185.65/185.72  ** KEPT (pick-wt=11): 264 [] c_Relation_Ototal__on(A,c_Relation_Oconverse(B,C,C),C)| -c_Relation_Ototal__on(A,B,C).
% 185.65/185.72  ** KEPT (pick-wt=7): 265 [] c_Relation_Otrans(A,B)| -c_Equiv__Relations_Oe_quiv(C,A,B).
% 185.65/185.72  ** KEPT (pick-wt=25): 266 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(hAPP(c_in(C),c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(A,D,C)),c_Wellfounded_Oacc(D,C)))| -hBOOL(hAPP(hAPP(c_in(C),B),c_Wellfounded_Oacc(D,C))).
% 185.65/185.72  ** KEPT (pick-wt=18): 267 [] hBOOL(hAPP(hAPP(A,hAPP(B,C)),hAPP(B,D)))| -hBOOL(c_Predicate_Oinv__imagep(A,B,C,D,E,F)).
% 185.65/185.72  ** KEPT (pick-wt=18): 268 [] hBOOL(c_Predicate_Oinv__imagep(A,B,C,D,E,F))| -hBOOL(hAPP(hAPP(A,hAPP(B,C)),hAPP(B,D))).
% 185.65/185.72  ** KEPT (pick-wt=17): 269 [] c_Relation_ORange(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|A=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(B,C),tc_bool)).
% 185.65/185.72  ** KEPT (pick-wt=40): 270 [] -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),C))| -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(B,A,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),C))|A=B| -hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),C),c_Arrow__Order__Mirabelle_OLin)).
% 185.65/185.72  ** KEPT (pick-wt=40): 271 [] hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),C))|hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(B,A,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),C))|B=A| -hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),C),c_Arrow__Order__Mirabelle_OLin)).
% 185.65/185.72  ** KEPT (pick-wt=37): 272 [] -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),C))| -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(B,A,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),C))| -hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),C),c_Arrow__Order__Mirabelle_OLin)).
% 185.65/185.72  ** KEPT (pick-wt=29): 273 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,B)),c_Pair(c_ATP__Linkup_Osko__Relation__XImageE__1__1(C,D,E,A,B),D,A,B)),E))| -hBOOL(hAPP(hAPP(c_in(B),D),c_Relation_OImage(E,C,A,B))).
% 185.65/185.72  ** KEPT (pick-wt=33): 274 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(A,C))| -hBOOL(hAPP(hAPP(c_in(tc_prod(D,D)),c_Pair(C,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(A,E,D),D,D)),E))| -hBOOL(hAPP(hAPP(c_in(D),B),c_Wellfounded_Oacc(E,D))).
% 185.65/185.72  ** KEPT (pick-wt=32): 275 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(A,C))| -hBOOL(hAPP(hAPP(c_in(tc_prod(t_a,t_a)),c_Pair(C,v_sko__Wellfounded__Xacc__Xinduct__1(A,D),t_a,t_a)),D))| -hBOOL(hAPP(hAPP(c_in(t_a),B),c_Wellfounded_Oacc(D,t_a))).
% 185.65/185.72  ** KEPT (pick-wt=26): 277 [copy,276,factor_simp] -hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1(C,D,A),A,A)),D))| -c_Wellfounded_Owf(D,A).
% 185.65/185.72  ** KEPT (pick-wt=27): 278 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,B)),c_Pair(c_ATP__Linkup_Osko__Relation__XRangeE__1__1(C,D,B,A),C,A,B)),D))| -hBOOL(hAPP(hAPP(c_in(B),C),c_Relation_ORange(D,A,B))).
% 185.65/185.72  ** KEPT (pick-wt=33): 279 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Wellfounded_Oacc(C,A)))| -hBOOL(hAPP(hAPP(c_in(A),D),c_Wellfounded_Oacc(C,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,D,A,A)),c_Transitive__Closure_Ortrancl(C,A))).
% 185.65/185.72    Following clause subsumed by 279 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Wellfounded_Oacc(C,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,D,A,A)),c_Transitive__Closure_Ortrancl(C,A)))| -hBOOL(hAPP(hAPP(c_in(A),D),c_Wellfounded_Oacc(C,A))).
% 185.65/185.72  ** KEPT (pick-wt=37): 280 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(hAPP(c_in(t_a),C),c_Wellfounded_Oacc(D,t_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(t_a,t_a)),c_Pair(C,v_sko__Wellfounded__Xacc__Xinducts__1(A,D),t_a,t_a)),D))| -hBOOL(hAPP(hAPP(c_in(t_a),B),c_Wellfounded_Oacc(D,t_a))).
% 185.65/185.72  ** KEPT (pick-wt=32): 281 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(A,C))| -hBOOL(hAPP(hAPP(c_in(tc_prod(t_a,t_a)),c_Pair(C,v_sko__Wellfounded__Xacc__Xinducts__1(A,D),t_a,t_a)),D))| -hBOOL(hAPP(hAPP(c_in(t_a),B),c_Wellfounded_Oacc(D,t_a))).
% 185.65/185.72  ** KEPT (pick-wt=34): 282 [] hBOOL(hAPP(hAPP(c_in(A),hAPP(hAPP(B,C),D)),c_Set_Oimage(c_split(B,E,F,A),G,tc_prod(E,F),A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(E,F)),c_Pair(C,D,E,F)),G)).
% 185.65/185.72  ** KEPT (pick-wt=27): 283 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,B)),c_Pair(C,c_ATP__Linkup_Osko__Relation__XDomainE__1__1(C,D,A,B),A,B)),D))| -hBOOL(hAPP(hAPP(c_in(A),C),c_Relation_ODomain(D,A,B))).
% 185.65/185.72  ** KEPT (pick-wt=37): 284 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(hAPP(c_in(t_a),C),c_Wellfounded_Oacc(D,t_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(t_a,t_a)),c_Pair(C,v_sko__Wellfounded__Xacc__Xinduct__1(A,D),t_a,t_a)),D))| -hBOOL(hAPP(hAPP(c_in(t_a),B),c_Wellfounded_Oacc(D,t_a))).
% 185.65/185.72  ** KEPT (pick-wt=33): 285 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(A,C))| -hBOOL(hAPP(hAPP(c_in(tc_prod(D,D)),c_Pair(C,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(A,E,D),D,D)),E))| -hBOOL(hAPP(hAPP(c_in(D),B),c_Wellfounded_Oacc(E,D))).
% 185.65/185.72  ** KEPT (pick-wt=26): 287 [copy,286,factor_simp] -hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,c_ATP__Linkup_Osko__Wellfounded__Xwf__e_q__minimal__1__1(C,D,A),A,A)),D))| -c_Wellfounded_Owf(D,A).
% 185.65/185.72  ** KEPT (pick-wt=27): 288 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,B)),c_Pair(C,c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1(C,D,A,B),A,B)),D))| -hBOOL(hAPP(hAPP(c_in(A),C),c_Relation_ODomain(D,A,B))).
% 185.65/185.72  ** KEPT (pick-wt=29): 289 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,B)),c_Pair(c_ATP__Linkup_Osko__Relation__XImage__iff__1__1(C,D,E,A,B),D,A,B)),E))| -hBOOL(hAPP(hAPP(c_in(B),D),c_Relation_OImage(E,C,A,B))).
% 185.65/185.72  ** KEPT (pick-wt=28): 290 [] A=B| -hBOOL(hAPP(hAPP(c_in(tc_prod(C,C)),c_Pair(A,B,C,C)),c_Transitive__Closure_Ortrancl(D,C)))|hBOOL(hAPP(hAPP(c_in(C),A),c_Relation_ODomain(D,C,C))).
% 185.65/185.72  ** KEPT (pick-wt=27): 291 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,B)),c_Pair(c_ATP__Linkup_Osko__Relation__XRange__iff__1__1(C,D,B,A),C,A,B)),D))| -hBOOL(hAPP(hAPP(c_in(B),C),c_Relation_ORange(D,A,B))).
% 185.65/185.72  ** KEPT (pick-wt=30): 292 [] hBOOL(hAPP(hAPP(c_in(A),B),hAPP(c_split(C,D,E,tc_fun(A,tc_bool)),c_Pair(F,G,D,E))))| -hBOOL(hAPP(hAPP(c_in(A),B),hAPP(hAPP(C,F),G))).
% 185.65/185.72  ** KEPT (pick-wt=44): 293 [] hAPP(hAPP(A,B),C)=hAPP(hAPP(A,D),E)| -hBOOL(hAPP(hAPP(c_in(tc_prod(F,F)),c_Pair(C,E,F,F)),G))| -hBOOL(hAPP(hAPP(c_in(tc_prod(H,H)),c_Pair(B,D,H,H)),I))| -c_Equiv__Relations_Ocongruent2(I,G,A,H,F,J).
% 185.65/185.72  ** KEPT (pick-wt=33): 294 [] A=B| -hBOOL(hAPP(hAPP(c_in(tc_prod(C,D)),c_Pair(E,B,C,D)),F))| -hBOOL(hAPP(hAPP(c_in(tc_prod(C,D)),c_Pair(E,A,C,D)),F))| -c_Relation_Osingle__valued(F,C,D).
% 185.65/185.72  ** KEPT (pick-wt=25): 295 [] hAPP(c_Recdef_Ocut(A,B,C,D,E),F)=hAPP(A,F)| -hBOOL(hAPP(hAPP(c_in(tc_prod(D,D)),c_Pair(F,C,D,D)),B)).
% 185.65/185.72    Following clause subsumed by 295 during input processing: 0 [] hAPP(c_Recdef_Ocut(A,B,C,D,E),F)=hAPP(A,F)| -hBOOL(hAPP(hAPP(c_in(tc_prod(D,D)),c_Pair(F,C,D,D)),B)).
% 185.65/185.72  ** KEPT (pick-wt=20): 296 [] hBOOL(c_FunDef_Oin__rel(A,B,C,D,E))| -hBOOL(hAPP(hAPP(c_in(tc_prod(D,E)),c_Pair(B,C,D,E)),A)).
% 185.65/185.72  ** KEPT (pick-wt=20): 297 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,B)),c_Pair(C,D,A,B)),E))| -hBOOL(c_FunDef_Oin__rel(E,C,D,A,B)).
% 185.65/185.72  ** KEPT (pick-wt=42): 298 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),D))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(E,C,A,A)),D))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,E,A,A)),D))| -c_Relation_Otrans(D,A).
% 185.65/185.72    Following clause subsumed by 298 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),D))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(E,C,A,A)),D))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,E,A,A)),D))| -c_Relation_Otrans(D,A).
% 185.65/185.73  ** KEPT (pick-wt=29): 299 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,B)),c_Pair(C,D,A,B)),c_Relation_Oconverse(E,B,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(B,A)),c_Pair(D,C,B,A)),E)).
% 185.65/185.73    Following clause subsumed by 299 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,B)),c_Pair(C,D,A,B)),c_Relation_Oconverse(E,B,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(B,A)),c_Pair(D,C,B,A)),E)).
% 185.65/185.73  ** KEPT (pick-wt=29): 300 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,B)),c_Pair(C,D,A,B)),E))| -hBOOL(hAPP(hAPP(c_in(tc_prod(B,A)),c_Pair(D,C,B,A)),c_Relation_Oconverse(E,A,B))).
% 185.65/185.73  ** KEPT (pick-wt=16): 301 [] -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,B,A,A)),C))| -c_Relation_Oirrefl(C,A).
% 185.65/185.73  ** KEPT (pick-wt=43): 302 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Otrancl(D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(E,C,A,A)),D))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,E,A,A)),c_Transitive__Closure_Otrancl(D,A))).
% 185.65/185.73  ** KEPT (pick-wt=43): 303 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Otrancl(D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(E,C,A,A)),c_Transitive__Closure_Otrancl(D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,E,A,A)),D)).
% 185.65/185.73  ** KEPT (pick-wt=43): 304 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Ortrancl(D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(E,C,A,A)),D))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,E,A,A)),c_Transitive__Closure_Ortrancl(D,A))).
% 185.65/185.73  ** KEPT (pick-wt=43): 305 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Ortrancl(D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(E,C,A,A)),c_Transitive__Closure_Ortrancl(D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,E,A,A)),D)).
% 185.65/185.73    Following clause subsumed by 223 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Otrancl(D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),D)).
% 185.65/185.73  ** KEPT (pick-wt=45): 306 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Ortrancl(D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(E,C,A,A)),c_Transitive__Closure_Ortrancl(D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,E,A,A)),c_Transitive__Closure_Ortrancl(D,A))).
% 185.65/185.73  ** KEPT (pick-wt=29): 307 [] -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),D))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(C,B,A,A)),D))| -c_Wellfounded_Owf(D,A).
% 185.65/185.73  ** KEPT (pick-wt=32): 308 [] A=B| -hBOOL(hAPP(hAPP(c_in(tc_prod(C,C)),c_Pair(B,A,C,C)),D))| -hBOOL(hAPP(hAPP(c_in(tc_prod(C,C)),c_Pair(A,B,C,C)),D))| -c_Relation_Oantisym(D,C).
% 185.65/185.73    Following clause subsumed by 308 during input processing: 0 [] A=B| -hBOOL(hAPP(hAPP(c_in(tc_prod(C,C)),c_Pair(B,A,C,C)),D))| -hBOOL(hAPP(hAPP(c_in(tc_prod(C,C)),c_Pair(A,B,C,C)),D))| -c_Relation_Oantisym(D,C).
% 185.65/185.73  ** KEPT (pick-wt=25): 309 [] hAPP(A,B)=hAPP(A,C)| -hBOOL(hAPP(hAPP(c_in(tc_prod(D,D)),c_Pair(B,C,D,D)),E))| -c_Equiv__Relations_Ocongruent(E,A,D,F).
% 185.65/185.73  ** KEPT (pick-wt=18): 310 [] A=B| -hBOOL(hAPP(hAPP(c_in(tc_prod(C,C)),c_Pair(A,B,C,C)),c_Relation_OId__on(D,C))).
% 185.65/185.73  ** KEPT (pick-wt=33): 311 [] c_Recdef_Ocut(A,B,C,D,E)!=c_Recdef_Ocut(F,B,C,D,E)|hAPP(A,G)=hAPP(F,G)| -hBOOL(hAPP(hAPP(c_in(tc_prod(D,D)),c_Pair(G,C,D,D)),B)).
% 185.65/185.73  ** KEPT (pick-wt=17): 312 [] A=B| -hBOOL(hAPP(hAPP(c_in(tc_prod(C,C)),c_Pair(A,B,C,C)),c_Relation_OId(C))).
% 185.65/185.73  ** KEPT (pick-wt=16): 313 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,B,A,A)),C))| -c_Nitpick_Orefl_H(C,A).
% 185.65/185.73  ** KEPT (pick-wt=16): 314 [] -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,B,A,A)),C))| -c_Wellfounded_Owf(C,A).
% 185.65/185.73  ** KEPT (pick-wt=34): 315 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Relation_Oinv__image(D,E,F,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(F,F)),c_Pair(hAPP(E,B),hAPP(E,C),F,F)),D)).
% 185.65/185.73  ** KEPT (pick-wt=34): 316 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(hAPP(B,C),hAPP(B,D),A,A)),E))| -hBOOL(hAPP(hAPP(c_in(tc_prod(F,F)),c_Pair(C,D,F,F)),c_Relation_Oinv__image(E,B,A,F))).
% 185.65/185.73  ** KEPT (pick-wt=29): 317 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),D))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(C,B,A,A)),D))| -c_Relation_Osym(D,A).
% 185.65/185.74    Following clause subsumed by 317 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),D))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(C,B,A,A)),D))| -c_Relation_Osym(D,A).
% 185.65/185.74  ** KEPT (pick-wt=44): 318 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,B)),c_Pair(C,D,A,B)),c_Relation_Orel__comp(E,F,A,G,B)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(G,B)),c_Pair(H,D,G,B)),F))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,G)),c_Pair(C,H,A,G)),E)).
% 185.65/185.74  ** KEPT (pick-wt=41): 319 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Otrancl(D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(E,C,A,A)),D))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,E,A,A)),D)).
% 185.65/185.74  ** KEPT (pick-wt=45): 320 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Otrancl(D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(E,C,A,A)),c_Transitive__Closure_Otrancl(D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,E,A,A)),c_Transitive__Closure_Otrancl(D,A))).
% 185.65/185.74  ** KEPT (pick-wt=33): 321 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,B)),c_Pair(C,D,A,B)),c_Product__Type_OSigma(E,F,A,B)))| -hBOOL(hAPP(hAPP(c_in(B),D),hAPP(F,C)))| -hBOOL(hAPP(hAPP(c_in(A),C),E)).
% 185.65/185.74    Following clause subsumed by 321 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,B)),c_Pair(C,D,A,B)),c_Product__Type_OSigma(E,F,A,B)))| -hBOOL(hAPP(hAPP(c_in(B),D),hAPP(F,C)))| -hBOOL(hAPP(hAPP(c_in(A),C),E)).
% 185.65/185.74  ** KEPT (pick-wt=31): 322 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Wellfounded_Oacc(C,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,D,A,A)),C))| -hBOOL(hAPP(hAPP(c_in(A),D),c_Wellfounded_Oacc(C,A))).
% 185.65/185.74    Following clause subsumed by 322 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Wellfounded_Oacc(C,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,D,A,A)),C))| -hBOOL(hAPP(hAPP(c_in(A),D),c_Wellfounded_Oacc(C,A))).
% 185.65/185.74  ** KEPT (pick-wt=31): 323 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Relation_OImage(C,D,E,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(E,A)),c_Pair(F,B,E,A)),C))| -hBOOL(hAPP(hAPP(c_in(E),F),D)).
% 185.65/185.74    Following clause subsumed by 323 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Relation_OImage(C,D,E,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(E,A)),c_Pair(F,B,E,A)),C))| -hBOOL(hAPP(hAPP(c_in(E),F),D)).
% 185.65/185.74  ** KEPT (pick-wt=22): 324 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,D,A,A)),c_Relation_OId__on(C,A))).
% 185.65/185.74  ** KEPT (pick-wt=22): 325 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,B,A,A)),c_Relation_OId__on(C,A)))| -hBOOL(hAPP(hAPP(c_in(A),B),C)).
% 185.65/185.74  ** KEPT (pick-wt=24): 326 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(D,B,A,A)),E))| -c_Equiv__Relations_Oe_quiv(C,E,A).
% 185.65/185.74  ** KEPT (pick-wt=24): 327 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,D,A,A)),E))| -c_Equiv__Relations_Oe_quiv(C,E,A).
% 185.65/185.74  ** KEPT (pick-wt=23): 328 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Relation_ORange(C,D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(D,A)),c_Pair(E,B,D,A)),C)).
% 185.65/185.74    Following clause subsumed by 328 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Relation_ORange(C,D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(D,A)),c_Pair(E,B,D,A)),C)).
% 185.65/185.74  ** KEPT (pick-wt=23): 329 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Relation_ODomain(C,A,D)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,D)),c_Pair(B,E,A,D)),C)).
% 185.65/185.74    Following clause subsumed by 329 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Relation_ODomain(C,A,D)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,D)),c_Pair(B,E,A,D)),C)).
% 185.65/185.74  ** KEPT (pick-wt=26): 330 [] hBOOL(hAPP(hAPP(c_in(A),B),hAPP(C,D)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(E,A)),c_Pair(D,B,E,A)),c_Product__Type_OSigma(F,C,E,A))).
% 185.65/185.74  ** KEPT (pick-wt=24): 331 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,D)),c_Pair(B,E,A,D)),c_Product__Type_OSigma(C,F,A,D))).
% 185.65/185.74  ** KEPT (pick-wt=47): 332 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),D))|hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(C,B,A,A)),D))|C=B| -hBOOL(hAPP(hAPP(c_in(A),B),E))| -hBOOL(hAPP(hAPP(c_in(A),C),E))| -c_Relation_Ototal__on(E,D,A).
% 185.65/185.74  ** KEPT (pick-wt=24): 333 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,B,A,A)),C))| -hBOOL(hAPP(hAPP(c_in(A),B),D))| -c_Relation_Orefl__on(D,C,A).
% 185.65/185.74  ** KEPT (pick-wt=24): 334 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(D,B,A,A)),E))| -c_Relation_Orefl__on(C,E,A).
% 185.65/185.74  ** KEPT (pick-wt=24): 335 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,D,A,A)),E))| -c_Relation_Orefl__on(C,E,A).
% 185.65/185.74    Following clause subsumed by 333 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,B,A,A)),C))| -hBOOL(hAPP(hAPP(c_in(A),B),D))| -c_Relation_Orefl__on(D,C,A).
% 185.65/185.74  ** KEPT (pick-wt=14): 336 [] c_Pair(A,B,C,D)!=c_Pair(E,F,C,D)|B=F.
% 185.65/185.74  ** KEPT (pick-wt=14): 337 [] c_Pair(A,B,C,D)!=c_Pair(E,F,C,D)|A=E.
% 185.65/185.74  ** KEPT (pick-wt=11): 338 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(C,B)).
% 185.65/185.74  ** KEPT (pick-wt=11): 339 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_in(C),B),A)).
% 185.65/185.74  ** KEPT (pick-wt=18): 341 [copy,340,flip.1] v_z!=v_x|hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_x,v_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(v_L,v_z))).
% 185.65/185.74  ** KEPT (pick-wt=21): 343 [copy,342,flip.1,flip.2] v_y!=v_x|v_z!=v_y|hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_x,v_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(v_L,v_z))).
% 185.65/185.74  ** KEPT (pick-wt=34): 345 [copy,344,flip.2,flip.3] -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_x,v_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),v_L))|v_z=v_y|v_z=v_x| -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_x,v_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(v_L,v_z))).
% 185.65/185.74  ** KEPT (pick-wt=24): 347 [copy,346,flip.1,flip.2,flip.3] v_z!=v_y|v_y=v_x|v_z=v_x| -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_x,v_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(v_L,v_z))).
% 185.65/185.74  ** KEPT (pick-wt=34): 349 [copy,348,flip.2,flip.3] -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_x,v_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),v_L))|v_y=v_x|v_z=v_x| -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_x,v_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(v_L,v_z))).
% 185.65/185.74  ** KEPT (pick-wt=6): 350 [] class_Lattices_Oupper__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 185.65/185.74  ** KEPT (pick-wt=6): 351 [] class_Lattices_Olower__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 185.65/185.74  ** KEPT (pick-wt=6): 352 [] class_Lattices_Odistrib__lattice(tc_fun(A,B))| -class_Lattices_Odistrib__lattice(B).
% 185.65/185.74  ** KEPT (pick-wt=6): 353 [] class_Lattices_Obounded__lattice(tc_fun(A,B))| -class_Lattices_Obounded__lattice(B).
% 185.65/185.74  ** KEPT (pick-wt=6): 354 [] class_Orderings_Opreorder(tc_fun(A,B))| -class_Orderings_Opreorder(B).
% 185.65/185.74  ** KEPT (pick-wt=6): 355 [] class_Lattices_Olattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 185.65/185.74  ** KEPT (pick-wt=6): 356 [] class_Orderings_Oorder(tc_fun(A,B))| -class_Orderings_Oorder(B).
% 185.65/185.74  ** KEPT (pick-wt=6): 357 [] class_Orderings_Obot(tc_fun(A,B))| -class_Orderings_Obot(B).
% 185.65/185.74  ** KEPT (pick-wt=6): 358 [] class_HOL_Oord(tc_fun(A,B))| -class_HOL_Oord(B).
% 185.65/185.74  ** KEPT (pick-wt=8): 359 [] A=B| -hBOOL(c_fe_qual(A,B,C)).
% 185.65/185.74    Following clause subsumed by 145 during input processing: 0 [copy,129,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 185.65/185.74    Following clause subsumed by 129 during input processing: 0 [copy,145,flip.1] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 185.65/185.74  157 back subsumes 97.
% 185.65/185.74  228 back subsumes 40.
% 185.65/185.74  272 back subsumes 270.
% 185.65/185.74  
% 185.65/185.74  ------------> process sos:
% 185.65/185.74  ** KEPT (pick-wt=3): 412 [] A=A.
% 185.65/185.74  ** KEPT (pick-wt=6): 413 [] c_lesse_quals(A,A,tc_fun(B,tc_bool)).
% 185.65/185.74    Following clause subsumed by 413 during input processing: 0 [] c_lesse_quals(A,A,tc_fun(B,tc_bool)).
% 185.65/185.74  ** KEPT (pick-wt=13): 414 [] c_Relation_OField(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,A),tc_bool)),A)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 185.65/185.74  ---> New Demodulator: 415 [new_demod,414] c_Relation_OField(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,A),tc_bool)),A)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 185.65/185.74  ** KEPT (pick-wt=27): 417 [copy,416,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Product__Type_OSigma(A,B,C,D),c_Product__Type_OSigma(E,B,C,D),tc_fun(tc_prod(C,D),tc_bool))=c_Product__Type_OSigma(c_Lattices_Oupper__semilattice__class_Osup(A,E,tc_fun(C,tc_bool)),B,C,D).
% 185.65/185.74  ---> New Demodulator: 418 [new_demod,417] c_Lattices_Oupper__semilattice__class_Osup(c_Product__Type_OSigma(A,B,C,D),c_Product__Type_OSigma(E,B,C,D),tc_fun(tc_prod(C,D),tc_bool))=c_Product__Type_OSigma(c_Lattices_Oupper__semilattice__class_Osup(A,E,tc_fun(C,tc_bool)),B,C,D).
% 185.65/185.74  ** KEPT (pick-wt=17): 419 [] hAPP(c_FuncSet_Orestrict(A,B,C,D),E)=c_HOL_Oundefined(D)|hBOOL(hAPP(hAPP(c_in(C),E),B)).
% 185.65/185.74  ** KEPT (pick-wt=27): 420 [] c_Relation_OImage(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_prod(C,D),tc_bool)),E,C,D)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OImage(A,E,C,D),c_Relation_OImage(B,E,C,D),tc_fun(D,tc_bool)).
% 185.65/185.74  ** KEPT (pick-wt=24): 421 [] c_Relation_ODomain(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_prod(C,D),tc_bool)),C,D)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(A,C,D),c_Relation_ODomain(B,C,D),tc_fun(C,tc_bool)).
% 185.65/185.74  ---> New Demodulator: 422 [new_demod,421] c_Relation_ODomain(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_prod(C,D),tc_bool)),C,D)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(A,C,D),c_Relation_ODomain(B,C,D),tc_fun(C,tc_bool)).
% 185.65/185.74  ** KEPT (pick-wt=19): 424 [copy,423,flip.1] c_Lattices_Oupper__semilattice__class_Osup(A,c_Relation_Orel__comp(c_Transitive__Closure_Otrancl(A,B),A,B,B,B),tc_fun(tc_prod(B,B),tc_bool))=c_Transitive__Closure_Otrancl(A,B).
% 185.65/185.74  ---> New Demodulator: 425 [new_demod,424] c_Lattices_Oupper__semilattice__class_Osup(A,c_Relation_Orel__comp(c_Transitive__Closure_Otrancl(A,B),A,B,B,B),tc_fun(tc_prod(B,B),tc_bool))=c_Transitive__Closure_Otrancl(A,B).
% 185.65/185.74  ** KEPT (pick-wt=24): 426 [] c_Relation_ORange(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_prod(C,D),tc_bool)),C,D)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ORange(A,C,D),c_Relation_ORange(B,C,D),tc_fun(D,tc_bool)).
% 185.65/185.74  ---> New Demodulator: 427 [new_demod,426] c_Relation_ORange(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_prod(C,D),tc_bool)),C,D)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ORange(A,C,D),c_Relation_ORange(B,C,D),tc_fun(D,tc_bool)).
% 185.65/185.74  ** KEPT (pick-wt=15): 428 [] c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(A,B),c_Relation_OId(B),tc_fun(tc_prod(B,B),tc_bool))=c_Transitive__Closure_Ortrancl(A,B).
% 185.65/185.74  ---> New Demodulator: 429 [new_demod,428] c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(A,B),c_Relation_OId(B),tc_fun(tc_prod(B,B),tc_bool))=c_Transitive__Closure_Ortrancl(A,B).
% 185.65/185.74  ** KEPT (pick-wt=15): 430 [] c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(A,c_Relation_OId(B),tc_fun(tc_prod(B,B),tc_bool)),B)=c_Transitive__Closure_Ortrancl(A,B).
% 185.65/185.74  ---> New Demodulator: 431 [new_demod,430] c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(A,c_Relation_OId(B),tc_fun(tc_prod(B,B),tc_bool)),B)=c_Transitive__Closure_Ortrancl(A,B).
% 185.65/185.74  ** KEPT (pick-wt=13): 432 [] c_Relation_Osym(c_Lattices_Oupper__semilattice__class_Osup(A,c_Relation_Oconverse(A,B,B),tc_fun(tc_prod(B,B),tc_bool)),B).
% 185.65/185.74  ** KEPT (pick-wt=11): 433 [] c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)).
% 185.65/185.74  ** KEPT (pick-wt=11): 434 [] c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),A,tc_fun(C,tc_bool)).
% 185.65/185.74  ** KEPT (pick-wt=26): 435 [] c_Relation_Oconverse(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_prod(C,D),tc_bool)),C,D)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Oconverse(A,C,D),c_Relation_Oconverse(B,C,D),tc_fun(tc_prod(D,C),tc_bool)).
% 185.65/185.74    Following clause subsumed by 413 during input processing: 0 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),tc_fun(A,tc_bool)).
% 185.65/185.74  ** KEPT (pick-wt=15): 436 [] c_Set_Oimage(c_FuncSet_Orestrict(A,B,C,D),B,C,D)=c_Set_Oimage(A,B,C,D).
% 185.65/185.74  ---> New Demodulator: 437 [new_demod,436] c_Set_Oimage(c_FuncSet_Orestrict(A,B,C,D),B,C,D)=c_Set_Oimage(A,B,C,D).
% 185.65/185.74  ** KEPT (pick-wt=28): 438 [] c_lesse_quals(c_Relation_OImage(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),D,E),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_OImage(A,B,D,E),c_Relation_OImage(A,C,D,E),tc_fun(E,tc_bool)),tc_fun(E,tc_bool)).
% 185.65/185.74  ** KEPT (pick-wt=28): 439 [] c_lesse_quals(c_Set_Oimage(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),D,E),c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(A,B,D,E),c_Set_Oimage(A,C,D,E),tc_fun(E,tc_bool)),tc_fun(E,tc_bool)).
% 185.65/185.74  ** KEPT (pick-wt=9): 440 [] c_lesse_quals(A,c_Set_Oinsert(B,A,C),tc_fun(C,tc_bool)).
% 185.65/185.74  ** KEPT (pick-wt=27): 441 [] c_lesse_quals(c_Relation_ODomain(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(tc_prod(C,D),tc_bool)),C,D),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_ODomain(A,C,D),c_Relation_ODomain(B,C,D),tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 185.65/185.74  ** KEPT (pick-wt=13): 442 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,A),tc_bool)),B,tc_fun(tc_prod(A,A),tc_bool)).
% 185.65/185.74  ** KEPT (pick-wt=9): 443 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool)).
% 185.65/185.74  ** KEPT (pick-wt=28): 444 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(A,B),c_Transitive__Closure_Ortrancl(C,B),tc_fun(tc_prod(B,B),tc_bool)),c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(tc_prod(B,B),tc_bool)),B),tc_fun(tc_prod(B,B),tc_bool)).
% 185.65/185.74  ** KEPT (pick-wt=11): 445 [] c_lesse_quals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 185.65/185.74  ** KEPT (pick-wt=11): 446 [] c_lesse_quals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 185.65/185.74  ** KEPT (pick-wt=10): 447 [] c_Relation_OField(c_Relation_Oconverse(A,B,B),B)=c_Relation_OField(A,B).
% 185.65/185.74  ---> New Demodulator: 448 [new_demod,447] c_Relation_OField(c_Relation_Oconverse(A,B,B),B)=c_Relation_OField(A,B).
% 185.65/185.74  ** KEPT (pick-wt=32): 449 [] c_Relation_Orel__comp(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_prod(C,D),tc_bool)),E,C,D,F)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(A,E,C,D,F),c_Relation_Orel__comp(B,E,C,D,F),tc_fun(tc_prod(C,F),tc_bool)).
% 185.65/185.74  ** KEPT (pick-wt=32): 450 [] c_Relation_Orel__comp(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(tc_prod(D,E),tc_bool)),F,D,E)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(A,B,F,D,E),c_Relation_Orel__comp(A,C,F,D,E),tc_fun(tc_prod(F,E),tc_bool)).
% 185.65/185.74  ** KEPT (pick-wt=21): 451 [] c_Relation_OField(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_prod(C,C),tc_bool)),C)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OField(A,C),c_Relation_OField(B,C),tc_fun(C,tc_bool)).
% 185.65/185.74  ---> New Demodulator: 452 [new_demod,451] c_Relation_OField(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_prod(C,C),tc_bool)),C)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OField(A,C),c_Relation_OField(B,C),tc_fun(C,tc_bool)).
% 185.65/185.74  ** KEPT (pick-wt=27): 453 [] c_lesse_quals(c_Relation_ORange(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(tc_prod(C,D),tc_bool)),C,D),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_ORange(A,C,D),c_Relation_ORange(B,C,D),tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 185.65/185.74  ** KEPT (pick-wt=25): 454 [] c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(A,B),c_Transitive__Closure_Ortrancl(C,B),tc_fun(tc_prod(B,B),tc_bool)),B)=c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(tc_prod(B,B),tc_bool)),B).
% 185.65/185.74  ---> New Demodulator: 455 [new_demod,454] c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(A,B),c_Transitive__Closure_Ortrancl(C,B),tc_fun(tc_prod(B,B),tc_bool)),B)=c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(tc_prod(B,B),tc_bool)),B).
% 185.65/185.74  ** KEPT (pick-wt=14): 456 [] hAPP(c_Fun_Ocomp(v_f,v_g,t_a,t_b,t_c),v_x)=hAPP(v_f,hAPP(v_g,v_x)).
% 185.65/185.74  ---> New Demodulator: 457 [new_demod,456] hAPP(c_Fun_Ocomp(v_f,v_g,t_a,t_b,t_c),v_x)=hAPP(v_f,hAPP(v_g,v_x)).
% 185.65/185.74  ** KEPT (pick-wt=15): 458 [] c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otrancl(A,B),c_Relation_OId(B),tc_fun(tc_prod(B,B),tc_bool))=c_Transitive__Closure_Ortrancl(A,B).
% 185.65/185.74  ---> New Demodulator: 459 [new_demod,458] c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otrancl(A,B),c_Relation_OId(B),tc_fun(tc_prod(B,B),tc_bool))=c_Transitive__Closure_Ortrancl(A,B).
% 185.65/185.74  ** KEPT (pick-wt=15): 460 [] c_Transitive__Closure_Otrancl(c_Lattices_Oupper__semilattice__class_Osup(A,c_Relation_OId(B),tc_fun(tc_prod(B,B),tc_bool)),B)=c_Transitive__Closure_Ortrancl(A,B).
% 185.65/185.74  ---> New Demodulator: 461 [new_demod,460] c_Transitive__Closure_Otrancl(c_Lattices_Oupper__semilattice__class_Osup(A,c_Relation_OId(B),tc_fun(tc_prod(B,B),tc_bool)),B)=c_Transitive__Closure_Ortrancl(A,B).
% 185.65/185.74    Following clause subsumed by 412 during input processing: 0 [demod,459] c_Transitive__Closure_Ortrancl(A,B)=c_Transitive__Closure_Ortrancl(A,B).
% 185.65/185.74  ** KEPT (pick-wt=16): 462 [] c_Relation_OField(A,B)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(A,B,B),c_Relation_ORange(A,B,B),tc_fun(B,tc_bool)).
% 185.65/185.74  ** KEPT (pick-wt=20): 464 [copy,463,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OId(A),c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(B,A),B,A,A,A),tc_fun(tc_prod(A,A),tc_bool))=c_Transitive__Closure_Ortrancl(B,A).
% 185.65/185.74  ---> New Demodulator: 465 [new_demod,464] c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OId(A),c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(B,A),B,A,A,A),tc_fun(tc_prod(A,A),tc_bool))=c_Transitive__Closure_Ortrancl(B,A).
% 185.65/185.74  ** KEPT (pick-wt=14): 466 [] hAPP(c_Fun_Ofcomp(v_f,v_g,t_a,t_b,t_c),v_x)=hAPP(v_g,hAPP(v_f,v_x)).
% 185.65/185.74  ---> New Demodulator: 467 [new_demod,466] hAPP(c_Fun_Ofcomp(v_f,v_g,t_a,t_b,t_c),v_x)=hAPP(v_g,hAPP(v_f,v_x)).
% 185.65/185.74  ** KEPT (pick-wt=21): 468 [] hAPP(c_FuncSet_Orestrict(A,B,t_a,C),v_x)=c_HOL_OIf(hAPP(hAPP(c_in(t_a),v_x),B),hAPP(A,v_x),c_HOL_Oundefined(C),C).
% 185.65/185.74  ** KEPT (pick-wt=16): 470 [copy,469,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(v_r,t_a,t_a),c_Relation_ORange(v_r,t_a,t_a),tc_fun(t_a,tc_bool))=c_Relation_OField(v_r,t_a).
% 185.65/185.74  ---> New Demodulator: 471 [new_demod,470] c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(v_r,t_a,t_a),c_Relation_ORange(v_r,t_a,t_a),tc_fun(t_a,tc_bool))=c_Relation_OField(v_r,t_a).
% 185.65/185.74  ** KEPT (pick-wt=12): 473 [copy,472,flip.1] c_Relation_ODomain(c_Relation_Oconverse(v_r,t_a,t_b),t_b,t_a)=c_Relation_ORange(v_r,t_a,t_b).
% 185.65/185.74  ---> New Demodulator: 474 [new_demod,473] c_Relation_ODomain(c_Relation_Oconverse(v_r,t_a,t_b),t_b,t_a)=c_Relation_ORange(v_r,t_a,t_b).
% 185.65/185.74  ** KEPT (pick-wt=36): 475 [] hAPP(c_Lattices_Olower__semilattice__class_Oinf(c_COMBC(c_in(t_a),A,t_a,tc_fun(t_a,tc_bool),tc_bool),c_COMBC(c_in(t_a),B,t_a,tc_fun(t_a,tc_bool),tc_bool),tc_fun(t_a,tc_bool)),v_x)=hAPP(hAPP(c_in(t_a),v_x),c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(t_a,tc_bool))).
% 185.65/185.74  ** KEPT (pick-wt=10): 476 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(B,C,A))).
% 185.65/185.74    Following clause subsumed by 476 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(B,C,A))).
% 185.65/185.74    Following clause subsumed by 476 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(B,C,A))).
% 185.65/185.74  ** KEPT (pick-wt=23): 477 [] c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(A,B,C),D,tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fu
% 185.65/185.74  Search stopped in tp_alloc by max_mem option.
% 185.65/185.74  n(C,tc_bool))|hBOOL(hAPP(hAPP(c_in(C),A),D)).
% 185.65/185.74  ** KEPT (pick-wt=23): 478 [] c_Lattices_Olower__semilattice__class_Oinf(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_fun(D,tc_bool))|hBOOL(hAPP(hAPP(c_in(D),B),A)).
% 185.65/185.74  ** KEPT (pick-wt=26): 479 [] c_Relation_Oconverse(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(tc_prod(C,D),tc_bool)),C,D)=c_Lattices_Olower__semilattice__class_Oinf(c_Relation_Oconverse(A,C,D),c_Relation_Oconverse(B,C,D),tc_fun(tc_prod(D,C),tc_bool)).
% 185.65/185.74  
% 185.65/185.74  Search stopped in tp_alloc by max_mem option.
% 185.65/185.74  
% 185.65/185.74  ============ end of search ============
% 185.65/185.74  
% 185.65/185.74  -------------- statistics -------------
% 185.65/185.74  clauses given                  0
% 185.65/185.74  clauses generated             64
% 185.65/185.74  clauses kept                 443
% 185.65/185.74  clauses forward subsumed      63
% 185.65/185.74  clauses back subsumed          3
% 185.65/185.74  Kbytes malloced            11718
% 185.65/185.74  
% 185.65/185.74  ----------- times (seconds) -----------
% 185.65/185.74  user CPU time          0.08          (0 hr, 0 min, 0 sec)
% 185.65/185.74  system CPU time        0.01          (0 hr, 0 min, 0 sec)
% 185.65/185.74  wall-clock time      186             (0 hr, 3 min, 6 sec)
% 185.65/185.74  
% 185.65/185.74  Process 28754 finished Wed Jul 27 09:07:56 2022
% 185.65/185.74  Otter interrupted
% 185.65/185.74  PROOF NOT FOUND
%------------------------------------------------------------------------------