%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SCT064-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n021.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 13:12:28 EDT 2022

% Result   : Unknown 240.58s 240.76s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SCT064-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13  % Command  : otter-tptp-script %s
% 0.14/0.35  % Computer : n021.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Wed Jul 27 09:04:08 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 240.58/240.73  ----- Otter 3.3f, August 2004 -----
% 240.58/240.73  The process was started by sandbox on n021.cluster.edu,
% 240.58/240.73  Wed Jul 27 09:04:08 2022
% 240.58/240.73  The command was "./otter".  The process ID is 30361.
% 240.58/240.73  
% 240.58/240.73  set(prolog_style_variables).
% 240.58/240.73  set(auto).
% 240.58/240.73     dependent: set(auto1).
% 240.58/240.73     dependent: set(process_input).
% 240.58/240.73     dependent: clear(print_kept).
% 240.58/240.73     dependent: clear(print_new_demod).
% 240.58/240.73     dependent: clear(print_back_demod).
% 240.58/240.73     dependent: clear(print_back_sub).
% 240.58/240.73     dependent: set(control_memory).
% 240.58/240.73     dependent: assign(max_mem, 12000).
% 240.58/240.73     dependent: assign(pick_given_ratio, 4).
% 240.58/240.73     dependent: assign(stats_level, 1).
% 240.58/240.73     dependent: assign(max_seconds, 10800).
% 240.58/240.73  clear(print_given).
% 240.58/240.73  
% 240.58/240.73  list(usable).
% 240.58/240.73  0 [] A=A.
% 240.58/240.73  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).
% 240.58/240.73  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).
% 240.58/240.73  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)).
% 240.58/240.73  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)).
% 240.58/240.73  0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(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)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),tc_fun(T_a,tc_bool)).
% 240.58/240.73  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)).
% 240.58/240.73  0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|V_x_H=V_y_H.
% 240.58/240.73  0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)|V_xa=V_y.
% 240.58/240.73  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).
% 240.58/240.73  0 [] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)).
% 240.58/240.73  0 [] hAPP(c_COMBK(V_P,T_a,T_b),V_Q)=V_P.
% 240.58/240.73  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)).
% 240.58/240.73  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)).
% 240.58/240.73  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a)=V_x.
% 240.58/240.73  0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool))=V_A.
% 240.58/240.73  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).
% 240.58/240.73  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).
% 240.58/240.73  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)).
% 240.58/240.73  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)).
% 240.58/240.73  0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(c_Relation_ODomain(V_A,T_a,T_b),c_Relation_ODomain(V_B,T_a,T_b),tc_fun(T_a,tc_bool)),c_Relation_ODomain(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(tc_prod(T_a,T_b),tc_bool)),T_a,T_b),tc_fun(T_a,tc_bool)).
% 240.58/240.73  0 [] 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))|c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))=V_A.
% 240.58/240.73  0 [] V_b=V_a| -c_in(V_b,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a).
% 240.58/240.73  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)).
% 240.58/240.73  0 [] c_Set_Oimage(c_COMBK(V_c,T_b,T_a),V_A,T_a,T_b)=c_Set_Oinsert(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b)| -c_in(V_x,V_A,T_a).
% 240.58/240.73  0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(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)),V_B,tc_fun(T_a,tc_bool))| -c_in(V_x,V_A,T_a)| -c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)).
% 240.58/240.73  0 [] c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -c_in(V_x,V_A,T_a)| -c_lesse_quals(c_HOL_Ominus__class_Ominus(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)),V_B,tc_fun(T_a,tc_bool)).
% 240.58/240.73  0 [] c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -c_in(V_x,V_A,T_a)| -c_lesse_quals(c_HOL_Ominus__class_Ominus(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)),V_B,tc_fun(T_a,tc_bool)).
% 240.58/240.73  0 [] c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))| -c_in(V_x,V_B,T_a).
% 240.58/240.73  0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(c_Relation_ORange(V_A,T_b,T_a),c_Relation_ORange(V_B,T_b,T_a),tc_fun(T_a,tc_bool)),c_Relation_ORange(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(tc_prod(T_b,T_a),tc_bool)),T_b,T_a),tc_fun(T_a,tc_bool)).
% 240.58/240.73  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)).
% 240.58/240.73  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)).
% 240.58/240.73  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).
% 240.58/240.73  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).
% 240.58/240.73  0 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)).
% 240.58/240.73  0 [] -class_Orderings_Obot(T_a)|c_lesse_quals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a).
% 240.58/240.73  0 [] c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)).
% 240.58/240.73  0 [] c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)).
% 240.58/240.73  0 [] c_Set_Oinsert(V_a,V_A,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 240.58/240.73  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).
% 240.58/240.73  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)).
% 240.58/240.73  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).
% 240.58/240.73  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)).
% 240.58/240.73  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).
% 240.58/240.73  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).
% 240.58/240.73  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)).
% 240.58/240.73  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)).
% 240.58/240.73  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)).
% 240.58/240.73  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)).
% 240.58/240.73  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)).
% 240.58/240.73  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)).
% 240.58/240.73  0 [] c_Product__Type_OSigma(c_HOL_Ominus__class_Ominus(V_I,V_J,tc_fun(T_a,tc_bool)),V_C,T_a,T_b)=c_HOL_Ominus__class_Ominus(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)).
% 240.58/240.73  0 [] c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A.
% 240.58/240.73  0 [] c_HOL_Ominus__class_Ominus(V_A,V_A,tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 240.58/240.73  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)).
% 240.58/240.73  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)).
% 240.58/240.73  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)).
% 240.58/240.73  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).
% 240.58/240.73  0 [] c_Product__Type_OSigma(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_COMBK(V_C,tc_fun(T_b,tc_bool),T_a),T_a,T_b)=c_Lattices_Olower__semilattice__class_Oinf(c_Product__Type_OSigma(V_A,c_COMBK(V_C,tc_fun(T_b,tc_bool),T_a),T_a,T_b),c_Product__Type_OSigma(V_B,c_COMBK(V_C,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 240.58/240.73  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).
% 240.58/240.73  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).
% 240.58/240.73  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).
% 240.58/240.73  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).
% 240.58/240.73  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).
% 240.58/240.73  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)).
% 240.58/240.73  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)).
% 240.58/240.73  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.
% 240.58/240.73  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.
% 240.58/240.73  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.
% 240.58/240.73  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.
% 240.58/240.73  0 [] c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 240.58/240.73  0 [] c_Product__Type_OSigma(c_Set_Oinsert(V_a,V_A,T_a),c_COMBK(c_Set_Oinsert(V_b,V_B,T_b),tc_fun(T_b,tc_bool),T_a),T_a,T_b)=c_Set_Oinsert(c_Pair(V_a,V_b,T_a,T_b),c_Lattices_Oupper__semilattice__class_Osup(c_Product__Type_OSigma(V_A,c_COMBK(c_Set_Oinsert(V_b,V_B,T_b),tc_fun(T_b,tc_bool),T_a),T_a,T_b),c_Product__Type_OSigma(c_Set_Oinsert(V_a,V_A,T_a),c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)),tc_prod(T_a,T_b)).
% 240.58/240.73  0 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)).
% 240.58/240.73  0 [] c_Lattices_Olower__semilattice__class_Oinf(V_C,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 240.58/240.73  0 [] c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_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)),tc_fun(T_a,tc_bool)).
% 240.58/240.73  0 [] c_Set_Oimage(c_COMBK(V_c,T_a,T_b),V_A,T_b,T_a)=c_Set_Oinsert(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)).
% 240.58/240.73  0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_D,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)).
% 240.58/240.73  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).
% 240.58/240.73  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).
% 240.58/240.73  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)).
% 240.58/240.73  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)).
% 240.58/240.73  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).
% 240.58/240.73  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).
% 240.58/240.73  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).
% 240.58/240.73  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)).
% 240.58/240.73  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)).
% 240.58/240.73  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)).
% 240.58/240.73  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)).
% 240.58/240.73  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).
% 240.58/240.73  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).
% 240.58/240.73  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).
% 240.58/240.73  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).
% 240.58/240.73  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).
% 240.58/240.73  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).
% 240.58/240.73  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).
% 240.58/240.73  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)).
% 240.58/240.73  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).
% 240.58/240.73  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).
% 240.58/240.73  0 [] c_Wellfounded_Oacyclic(V_r,T_a)| -c_Wellfounded_Owf(V_r,T_a).
% 240.58/240.73  0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_B| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 240.58/240.73  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).
% 240.58/240.73  0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)).
% 240.58/240.73  0 [] c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a)=c_Set_Oinsert(V_a,V_A,T_a).
% 240.58/240.73  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.
% 240.58/240.73  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)).
% 240.58/240.73  0 [] c_Set_Oimage(c_COMBK(V_c,T_a,T_b),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)).
% 240.58/240.73  0 [] c_Set_Oinsert(V_x,V_xa,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|c_in(V_x,V_xa,T_a).
% 240.58/240.73  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)).
% 240.58/240.73  0 [] hAPP(c_Relation_Oconverse(T_b,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_r,V_s,tc_fun(tc_prod(T_b,T_a),tc_bool)))=c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_Relation_Oconverse(T_b,T_a),V_r),hAPP(c_Relation_Oconverse(T_b,T_a),V_s),tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 240.58/240.73  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))|c_in(V_a,V_A,T_a).
% 240.58/240.73  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))|c_in(V_a,V_C,T_a).
% 240.58/240.73  0 [] c_Relation_Ototal__on(V_A,V_r,T_a)| -c_Order__Relation_Ostrict__linear__order__on(V_A,V_r,T_a).
% 240.58/240.73  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)).
% 240.58/240.73  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)).
% 240.58/240.73  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).
% 240.58/240.73  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).
% 240.58/240.73  0 [] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)).
% 240.58/240.73  0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,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)).
% 240.58/240.73  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)).
% 240.58/240.73  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)).
% 240.58/240.73  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)).
% 240.58/240.73  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)).
% 240.58/240.73  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).
% 240.58/240.73  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).
% 240.58/240.73  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).
% 240.58/240.73  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).
% 240.58/240.73  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).
% 240.58/240.73  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).
% 240.58/240.73  0 [] c_HOL_Ominus__class_Ominus(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(c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 240.58/240.73  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)).
% 240.58/240.73  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).
% 240.58/240.73  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).
% 240.58/240.73  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)).
% 240.58/240.73  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)).
% 240.58/240.73  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)).
% 240.58/240.73  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).
% 240.58/240.73  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).
% 240.58/240.73  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).
% 240.58/240.73  0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 240.58/240.73  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)).
% 240.58/240.73  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).
% 240.58/240.73  0 [] c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))=c_Set_Oinsert(V_x,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)|c_in(V_x,V_B,T_a).
% 240.58/240.73  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))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(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)),V_B,tc_fun(T_a,tc_bool)).
% 240.58/240.73  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)).
% 240.58/240.73  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)).
% 240.58/240.73  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).
% 240.58/240.73  0 [] c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_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))=V_A|c_in(V_x,V_A,T_a).
% 240.58/240.73  0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 240.58/240.73  0 [] c_lesse_quals(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(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)).
% 240.58/240.73  0 [] c_Wellfounded_Oacyclic(V_r,T_a)| -c_Wellfounded_Oacyclic(c_Set_Oinsert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a).
% 240.58/240.73  0 [] c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -c_in(V_c,V_B,T_a)| -c_in(V_c,V_A,T_a).
% 240.58/240.73  0 [] c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -c_in(V_c,V_B,T_a)| -c_in(V_c,V_A,T_a).
% 240.58/240.73  0 [] c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -c_in(V_c,V_A,T_a).
% 240.58/240.73  0 [] c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -c_in(V_c,V_B,T_a).
% 240.58/240.73  0 [] -c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 240.58/240.73  0 [] hBOOL(hAPP(V_P,V_x))| -c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 240.58/240.73  0 [] -c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 240.58/240.73  0 [] -c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 240.58/240.73  0 [] c_in(V_c,V_B,T_a)|c_in(V_c,V_A,T_a)| -c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a).
% 240.58/240.73  0 [] -c_in(V_c,V_B,T_a)| -c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a).
% 240.58/240.73  0 [] c_in(V_c,V_A,T_a)| -c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a).
% 240.58/240.73  0 [] c_in(V_c,V_B,T_a)| -c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a).
% 240.58/240.73  0 [] c_in(V_c,V_A,T_a)| -c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a).
% 240.58/240.73  0 [] -hBOOL(hAPP(V_P,V_x))| -c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 240.58/240.73  0 [] c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)|c_in(V_c,V_B,T_a)| -c_in(V_c,V_A,T_a).
% 240.58/240.73  0 [] c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)|c_in(V_c,V_B,T_a)| -c_in(V_c,V_A,T_a).
% 240.58/240.73  0 [] c_Relation_Oirrefl(c_HOL_Ominus__class_Ominus(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a).
% 240.58/240.73  0 [] -c_in(c_Pair(V_x,V_x,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))| -c_Wellfounded_Oacyclic(V_r,T_a).
% 240.58/240.73  0 [] c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_in(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)),T_a)| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a).
% 240.58/240.73  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).
% 240.58/240.73  0 [] c_lesse_quals(c_Product__Type_OSigma(V_A,V_B,T_a,T_b),c_Product__Type_OSigma(V_C,V_D,T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool))| -c_lesse_quals(hAPP(V_B,c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1(V_A,V_B,V_D,T_a,T_b)),hAPP(V_D,c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1(V_A,V_B,V_D,T_a,T_b)),tc_fun(T_b,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)).
% 240.58/240.73  0 [] c_lesse_quals(c_Transitive__Closure_Otrancl(V_r,T_a),c_Product__Type_OSigma(V_A,c_COMBK(V_A,tc_fun(T_a,tc_bool),T_a),T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))| -c_lesse_quals(V_r,c_Product__Type_OSigma(V_A,c_COMBK(V_A,tc_fun(T_a,tc_bool),T_a),T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 240.58/240.73  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).
% 240.58/240.73  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)).
% 240.58/240.73  0 [] c_lesse_quals(V_r,c_Product__Type_OSigma(V_A,c_COMBK(V_A,tc_fun(T_a,tc_bool),T_a),T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a).
% 240.58/240.73  0 [] c_lesse_quals(c_Relation_Orel__comp(V_r,V_s,T_a,T_b,T_c),c_Product__Type_OSigma(V_A,c_COMBK(V_C,tc_fun(T_c,tc_bool),T_a),T_a,T_c),tc_fun(tc_prod(T_a,T_c),tc_bool))| -c_lesse_quals(V_s,c_Product__Type_OSigma(V_B,c_COMBK(V_C,tc_fun(T_c,tc_bool),T_b),T_b,T_c),tc_fun(tc_prod(T_b,T_c),tc_bool))| -c_lesse_quals(V_r,c_Product__Type_OSigma(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 240.58/240.73  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).
% 240.58/240.73  0 [] -c_in(V_x,V_B,T_a)| -c_in(V_x,V_A,T_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)).
% 240.58/240.73  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).
% 240.58/240.73  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).
% 240.58/240.73  0 [] c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_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)),tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)).
% 240.58/240.73  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.
% 240.58/240.73  0 [] c_Wellfounded_Oacyclic(V_r,T_a)| -c_Wellfounded_Oacyclic(hAPP(c_Relation_Oconverse(T_a,T_a),V_r),T_a).
% 240.58/240.73  0 [] c_Wellfounded_Oacyclic(hAPP(c_Relation_Oconverse(T_a,T_a),V_r),T_a)| -c_Wellfounded_Oacyclic(V_r,T_a).
% 240.58/240.73  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.
% 240.58/240.73  0 [] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A.
% 240.58/240.73  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).
% 240.58/240.73  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).
% 240.58/240.73  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).
% 240.58/240.73  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)).
% 240.58/240.73  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)).
% 240.58/240.73  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)).
% 240.58/240.73  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).
% 240.58/240.73  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.
% 240.58/240.73  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.
% 240.58/240.73  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.
% 240.58/240.73  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.
% 240.58/240.73  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)).
% 240.58/240.73  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)).
% 240.58/240.73  0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Set_Oinsert(V_a,V_A,T_a).
% 240.58/240.73  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)| -c_in(V_a,V_C,T_a).
% 240.58/240.73  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)| -c_in(V_a,V_A,T_a).
% 240.58/240.73  0 [] c_Relation_Ototal__on(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_r,T_a).
% 240.58/240.73  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)).
% 240.58/240.73  0 [] hAPP(c_Relation_Oconverse(T_b,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_r,V_s,tc_fun(tc_prod(T_b,T_a),tc_bool)))=c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_Relation_Oconverse(T_b,T_a),V_r),hAPP(c_Relation_Oconverse(T_b,T_a),V_s),tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 240.58/240.73  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).
% 240.58/240.73  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).
% 240.58/240.73  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).
% 240.58/240.73  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).
% 240.58/240.73  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).
% 240.58/240.73  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).
% 240.58/240.73  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).
% 240.58/240.73  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)).
% 240.58/240.73  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)).
% 240.58/240.73  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)).
% 240.58/240.73  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)).
% 240.58/240.73  0 [] c_Product__Type_OSigma(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_COMBK(V_C,tc_fun(T_b,tc_bool),T_a),T_a,T_b)=c_Lattices_Oupper__semilattice__class_Osup(c_Product__Type_OSigma(V_A,c_COMBK(V_C,tc_fun(T_b,tc_bool),T_a),T_a,T_b),c_Product__Type_OSigma(V_B,c_COMBK(V_C,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 240.58/240.73  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).
% 240.58/240.73  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).
% 240.58/240.73  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)).
% 240.58/240.73  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)).
% 240.58/240.73  0 [] c_Relation_Otrans(V_r,T_a)| -c_Order__Relation_Ostrict__linear__order__on(V_A,V_r,T_a).
% 240.58/240.73  0 [] c_Product__Type_OSigma(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_COMBK(V_C,tc_fun(T_b,tc_bool),T_a),T_a,T_b)=c_HOL_Ominus__class_Ominus(c_Product__Type_OSigma(V_A,c_COMBK(V_C,tc_fun(T_b,tc_bool),T_a),T_a,T_b),c_Product__Type_OSigma(V_B,c_COMBK(V_C,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 240.58/240.73  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).
% 240.58/240.73  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).
% 240.58/240.73  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)).
% 240.58/240.73  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)).
% 240.58/240.73  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).
% 240.58/240.73  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).
% 240.58/240.73  0 [] c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a)=V_A| -c_in(V_a,V_A,T_a).
% 240.58/240.73  0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_x,T_a)=V_x.
% 240.58/240.73  0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,V_A,tc_fun(T_a,tc_bool))=V_A.
% 240.58/240.73  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).
% 240.58/240.73  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).
% 240.58/240.73  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).
% 240.58/240.73  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).
% 240.58/240.73  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).
% 240.58/240.73  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).
% 240.58/240.73  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)).
% 240.58/240.73  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)).
% 240.58/240.73  0 [] c_Wellfounded_Oacyclic(V_r,T_a)| -c_lesse_quals(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool))| -c_Wellfounded_Oacyclic(V_s,T_a).
% 240.58/240.73  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)).
% 240.58/240.73  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)).
% 240.58/240.73  0 [] c_HOL_Ominus__class_Ominus(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_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 240.58/240.73  0 [] c_HOL_Ominus__class_Ominus(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_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 240.58/240.73  0 [] c_in(V_x,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a).
% 240.58/240.73  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)).
% 240.58/240.73  0 [] c_HOL_Ominus__class_Ominus(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_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 240.58/240.73  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)).
% 240.58/240.73  0 [] c_HOL_Ominus__class_Ominus(V_B,c_HOL_Ominus__class_Ominus(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A| -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)).
% 240.58/240.73  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|c_lesse_quals(V_y_H,V_x_H,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 240.58/240.73  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|c_lesse_quals(V_y,V_x,T_a)| -c_lesse_quals(V_y_H,V_x_H,T_a).
% 240.58/240.73  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)).
% 240.58/240.73  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)).
% 240.58/240.73  0 [] c_Relation_Oirrefl(V_r,T_a)| -c_Order__Relation_Ostrict__linear__order__on(V_A,V_r,T_a).
% 240.58/240.73  0 [] c_Product__Type_OSigma(V_A,c_COMBK(V_C,tc_fun(T_a,tc_bool),T_b),T_b,T_a)!=c_Product__Type_OSigma(V_B,c_COMBK(V_C,tc_fun(T_a,tc_bool),T_b),T_b,T_a)| -c_in(V_x,V_C,T_a)|V_A=V_B.
% 240.58/240.73  0 [] c_in(c_ATP__Linkup_Osko__Relation__XImageE__1__1(V_A,V_b,V_r,T_b,T_a),V_A,T_b)| -c_in(V_b,c_Relation_OImage(V_r,V_A,T_b,T_a),T_a).
% 240.58/240.74  0 [] c_in(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),tc_prod(T_a,T_a))| -c_in(V_x,c_Transitive__Closure_Ortrancl(V_R,T_a),tc_prod(T_a,T_a)).
% 240.58/240.74  0 [] c_in(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),tc_prod(T_a,T_a))| -c_in(V_x,c_Transitive__Closure_Ortrancl(V_S,T_a),tc_prod(T_a,T_a)).
% 240.58/240.74  0 [] hBOOL(hAPP(V_P,V_a))|c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(V_P,V_r,T_a),c_Wellfounded_Oacc(V_r,T_a),T_a)| -c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a).
% 240.58/240.74  0 [] -c_in(c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1(V_R,V_x,T_a),c_Wellfounded_Oacc(V_R,T_a),T_a)|c_in(V_x,c_Wellfounded_Oacc(V_R,T_a),T_a).
% 240.58/240.74  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)))| -c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a).
% 240.58/240.74  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).
% 240.58/240.74  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).
% 240.58/240.74  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)).
% 240.58/240.74  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).
% 240.58/240.74  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).
% 240.58/240.74  0 [] c_Transitive__Closure_Ortrancl(c_HOL_Ominus__class_Ominus(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).
% 240.58/240.74  0 [] c_Relation_Oantisym(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a)| -c_Wellfounded_Oacyclic(V_r,T_a).
% 240.58/240.74  0 [] c_Relation_Osym(c_Lattices_Oupper__semilattice__class_Osup(V_r,hAPP(c_Relation_Oconverse(T_a,T_a),V_r),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a).
% 240.58/240.74  0 [] c_Relation_Osym(c_Lattices_Olower__semilattice__class_Oinf(V_r,hAPP(c_Relation_Oconverse(T_a,T_a),V_r),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a).
% 240.58/240.74  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).
% 240.58/240.74  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)).
% 240.58/240.74  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).
% 240.58/240.74  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).
% 240.58/240.74  0 [] c_Relation_Ototal__on(V_A,V_r,T_a)| -c_Relation_Ototal__on(V_A,c_HOL_Ominus__class_Ominus(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a).
% 240.58/240.74  0 [] c_Relation_Ototal__on(V_A,c_HOL_Ominus__class_Ominus(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)| -c_Relation_Ototal__on(V_A,V_r,T_a).
% 240.58/240.74  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).
% 240.58/240.74  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)).
% 240.58/240.74  0 [] c_lesse_quals(V_r,c_Product__Type_OSigma(V_A,c_COMBK(V_A,tc_fun(T_a,tc_bool),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).
% 240.58/240.74  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)).
% 240.58/240.74  0 [] c_Relation_ORange(v_r,t_a,t_b)=c_Relation_ODomain(hAPP(c_Relation_Oconverse(t_a,t_b),v_r),t_b,t_a).
% 240.58/240.74  0 [] c_Relation_Oirrefl(V_r,T_a)|c_in(c_Pair(c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1(V_r,T_a),c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1(V_r,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a)).
% 240.58/240.74  0 [] c_lesse_quals(c_Relation_OId__on(V_A,T_a),c_Product__Type_OSigma(V_A,c_COMBK(V_A,tc_fun(T_a,tc_bool),T_a),T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 240.58/240.74  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(hAPP(c_Relation_Oconverse(T_b,T_a),V_R),T_a,T_b).
% 240.58/240.74  0 [] c_Relation_Otrans(c_HOL_Ominus__class_Ominus(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)| -c_Relation_Otrans(V_r,T_a).
% 240.58/240.74  0 [] c_Nitpick_Orefl_H(V_r,T_a)| -c_in(c_Pair(c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1(V_r,T_a),c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1(V_r,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a)).
% 240.58/240.74  0 [] c_Order__Relation_Ostrict__linear__order__on(V_A,V_r,T_a)| -c_Relation_Ototal__on(V_A,V_r,T_a)| -c_Relation_Oirrefl(V_r,T_a)| -c_Relation_Otrans(V_r,T_a).
% 240.58/240.74  0 [] c_in(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,tc_prod(T_b,T_a))| -c_in(V_b,c_Relation_OImage(V_r,V_A,T_b,T_a),T_a).
% 240.58/240.74  0 [] c_in(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,tc_prod(T_a,T_a))|c_in(V_x,c_Wellfounded_Oacc(V_R,T_a),T_a).
% 240.58/240.74  0 [] hBOOL(hAPP(V_P,V_a))|hBOOL(hAPP(V_P,V_y))| -c_in(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,tc_prod(T_a,T_a))| -c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a).
% 240.58/240.74  0 [] c_lesse_quals(c_Product__Type_OSigma(V_A,c_COMBK(V_C,tc_fun(T_a,tc_bool),T_b),T_b,T_a),c_Product__Type_OSigma(V_B,c_COMBK(V_C,tc_fun(T_a,tc_bool),T_b),T_b,T_a),tc_fun(tc_prod(T_b,T_a),tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_b,tc_bool))| -c_in(V_x,V_C,T_a).
% 240.58/240.74  0 [] c_lesse_quals(V_A,V_B,tc_fun(T_b,tc_bool))| -c_lesse_quals(c_Product__Type_OSigma(V_A,c_COMBK(V_C,tc_fun(T_a,tc_bool),T_b),T_b,T_a),c_Product__Type_OSigma(V_B,c_COMBK(V_C,tc_fun(T_a,tc_bool),T_b),T_b,T_a),tc_fun(tc_prod(T_b,T_a),tc_bool))| -c_in(V_x,V_C,T_a).
% 240.58/240.74  0 [] c_lesse_quals(c_Product__Type_OSigma(V_A,V_B,T_a,T_b),c_Product__Type_OSigma(V_C,V_D,T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool))|c_in(c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1(V_A,V_B,V_D,T_a,T_b),V_A,T_a)| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)).
% 240.58/240.74  0 [] -c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))| -c_Wellfounded_Oacyclic(c_Set_Oinsert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a).
% 240.58/240.74  0 [] c_Wellfounded_Oacyclic(c_Set_Oinsert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a)|c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))| -c_Wellfounded_Oacyclic(V_r,T_a).
% 240.58/240.74  0 [] c_in(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),T_a)| -c_in(V_a,V_A,T_a)| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a).
% 240.58/240.74  0 [] c_lesse_quals(c_Relation_OImage(V_r,V_C,T_a,T_b),V_B,tc_fun(T_b,tc_bool))| -c_lesse_quals(V_r,c_Product__Type_OSigma(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 240.58/240.74  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)).
% 240.58/240.74  0 [] c_in(c_Pair(V_a,V_b,T_b,T_a),V_r,tc_prod(T_b,T_a))| -c_in(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),T_a).
% 240.58/240.74  0 [] c_in(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),T_a)| -c_in(c_Pair(V_a,V_b,T_b,T_a),V_r,tc_prod(T_b,T_a)).
% 240.58/240.74  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_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a).
% 240.58/240.74  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)| -c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a).
% 240.58/240.74  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)|c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_in(V_b,V_A,T_a)| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a).
% 240.58/240.74  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)|c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_in(V_y,V_A,T_a)| -c_in(V_x,V_A,T_a).
% 240.58/240.74  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_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_in(V_y,V_A,T_a)| -c_in(V_x,V_A,T_a)| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a).
% 240.58/240.74  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_in(V_y,V_A,T_a)| -c_in(V_x,V_A,T_a)| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a)|c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a)).
% 240.58/240.74  0 [] c_in(V_a,V_A,T_a)|V_a=V_b| -c_lesse_quals(V_r,c_Product__Type_OSigma(V_A,c_COMBK(V_A,tc_fun(T_a,tc_bool),T_a),T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))| -c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)).
% 240.58/240.74  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))| -c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a).
% 240.58/240.74  0 [] c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_in(V_b,V_A,T_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).
% 240.58/240.74  0 [] c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a)|c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))| -c_Wellfounded_Owf(V_r,T_a).
% 240.58/240.74  0 [] c_lesse_quals(V_r,c_Relation_Orel__comp(hAPP(c_Relation_Oconverse(T_a,T_a),V_r),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).
% 240.58/240.74  0 [] c_in(c_Pair(V_x,c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1(V_R,V_x,V_y,T_a),T_a,T_a),V_R,tc_prod(T_a,T_a))| -c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Otrancl(V_R,T_a),tc_prod(T_a,T_a)).
% 240.58/240.74  0 [] c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1(V_R,V_x,V_y,T_a),V_y,T_a,T_a),V_R,tc_prod(T_a,T_a))| -c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Otrancl(V_R,T_a),tc_prod(T_a,T_a)).
% 240.58/240.74  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).
% 240.58/240.74  0 [] c_in(V_p,c_Transitive__Closure_Otrancl(V_s,T_a),tc_prod(T_a,T_a))| -c_lesse_quals(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool))| -c_in(V_p,c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)).
% 240.58/240.74  0 [] c_Wellfounded_Owf(V_r,T_a)| -c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a).
% 240.58/240.74  0 [] c_in(hAPP(V_f,V_x),V_B,T_a)| -c_in(V_x,V_A,T_b)| -c_lesse_quals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)).
% 240.58/240.74  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)| -c_in(V_x,V_A,T_a).
% 240.58/240.74  0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_y,V_x,T_a)|c_lesse_quals(V_x,V_y,T_a).
% 240.58/240.74  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)).
% 240.58/240.74  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)).
% 240.58/240.74  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)).
% 240.58/240.74  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)).
% 240.58/240.74  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)).
% 240.58/240.74  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)).
% 240.58/240.74  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)).
% 240.58/240.74  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)).
% 240.58/240.74  0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 240.58/240.74  0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 240.58/240.74  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).
% 240.58/240.74  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)).
% 240.58/240.74  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)).
% 240.58/240.74  0 [] c_lesse_quals(V_A,V_A,tc_fun(T_a,tc_bool)).
% 240.58/240.74  0 [] c_lesse_quals(V_x,V_x,tc_fun(T_a,tc_bool)).
% 240.58/240.74  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).
% 240.58/240.74  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).
% 240.58/240.74  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))| -c_in(V_x,V_B,T_a).
% 240.58/240.74  0 [] hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)).
% 240.58/240.74  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).
% 240.58/240.74  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)).
% 240.58/240.74  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).
% 240.58/240.74  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).
% 240.58/240.74  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).
% 240.58/240.74  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)).
% 240.58/240.74  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)).
% 240.58/240.74  0 [] c_lesse_quals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)).
% 240.58/240.74  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)).
% 240.58/240.74  0 [] c_Relation_ODomain(c_Set_Oinsert(c_Pair(V_a,V_b,T_a,T_b),V_r,tc_prod(T_a,T_b)),T_a,T_b)=c_Set_Oinsert(V_a,c_Relation_ODomain(V_r,T_a,T_b),T_a).
% 240.58/240.74  0 [] hBOOL(hAPP(V_A,V_x))|V_y=V_x| -hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)).
% 240.58/240.74  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).
% 240.58/240.74  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)).
% 240.58/240.74  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)).
% 240.58/240.74  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)).
% 240.58/240.74  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).
% 240.58/240.74  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)).
% 240.58/240.74  0 [] c_in(V_x,V_B,T_a)| -c_lesse_quals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)).
% 240.58/240.74  0 [] hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))| -hBOOL(hAPP(V_A,V_x)).
% 240.58/240.74  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))|c_in(V_x,V_A,T_a).
% 240.58/240.74  0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|c_in(V_x,V_A,T_a)| -c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)).
% 240.58/240.74  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))|c_in(V_x,V_A,T_a).
% 240.58/240.74  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))|c_in(V_x,V_A,T_a).
% 240.58/240.74  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)).
% 240.58/240.74  0 [] c_Relation_ORange(c_Set_Oinsert(c_Pair(V_a,V_b,T_b,T_a),V_r,tc_prod(T_b,T_a)),T_b,T_a)=c_Set_Oinsert(V_b,c_Relation_ORange(V_r,T_b,T_a),T_a).
% 240.58/240.74  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)).
% 240.58/240.74  0 [] c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a)| -c_in(V_a,V_A,T_a).
% 240.58/240.74  0 [] c_in(V_a,c_Set_Oinsert(V_b,V_B,T_a),T_a)| -c_in(V_a,V_B,T_a).
% 240.58/240.74  0 [] c_in(V_t,V_B,T_a)| -c_in(V_t,V_A,T_a)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 240.58/240.74  0 [] c_in(V_x,V_B,T_a)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_in(V_x,V_A,T_a).
% 240.58/240.74  0 [] c_in(V_c,V_B,T_a)| -c_in(V_c,V_A,T_a)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 240.58/240.74  0 [] c_in(V_x,V_B,T_a)| -c_in(V_x,V_A,T_a)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 240.58/240.74  0 [] c_in(V_a,V_A,T_a)|V_a=V_b| -c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a).
% 240.58/240.74  0 [] c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a).
% 240.58/240.74  0 [] c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a).
% 240.58/240.74  0 [] c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a).
% 240.58/240.74  0 [] c_Set_Oinsert(V_x,V_A,T_a)!=c_Set_Oinsert(V_x,V_B,T_a)|c_in(V_x,V_B,T_a)|c_in(V_x,V_A,T_a)|V_A=V_B.
% 240.58/240.74  0 [] c_Set_Oinsert(V_a,V_A,T_a)=V_A| -c_in(V_a,V_A,T_a).
% 240.58/240.74  0 [] -c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))| -c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a).
% 240.58/240.74  0 [] c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1(V_R,V_x,V_y,T_a),V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),tc_prod(T_a,T_a))| -c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Otrancl(V_R,T_a),tc_prod(T_a,T_a)).
% 240.58/240.74  0 [] c_in(c_Pair(V_x,c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1(V_R,V_x,V_y,T_a),T_a,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),tc_prod(T_a,T_a))| -c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Otrancl(V_R,T_a),tc_prod(T_a,T_a)).
% 240.58/240.74  0 [] c_lesse_quals(c_Relation_Orel__comp(hAPP(c_Relation_Oconverse(T_a,T_a),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)| -c_Relation_Osym(V_r,T_a).
% 240.58/240.74  0 [] c_in(V_p,c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))| -c_in(V_p,V_r,tc_prod(T_a,T_a)).
% 240.58/240.74  0 [] c_in(V_p,c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))| -c_in(V_p,V_r,tc_prod(T_a,T_a)).
% 240.58/240.74  0 [] c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))| -c_in(c_Pair(V_b,V_c,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))| -c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)).
% 240.58/240.74  0 [] c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))| -c_in(c_Pair(V_b,V_c,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)).
% 240.58/240.74  0 [] c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),tc_prod(T_a,T_a))| -c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Otrancl(V_R,T_a),tc_prod(T_a,T_a))|V_x=V_y.
% 240.58/240.74  0 [] c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Otrancl(V_R,T_a),tc_prod(T_a,T_a))|V_x=V_y| -c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),tc_prod(T_a,T_a)).
% 240.58/240.74  0 [] c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Otrancl(V_R,T_a),tc_prod(T_a,T_a))|V_a=V_b| -c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),tc_prod(T_a,T_a)).
% 240.58/240.74  0 [] c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(hAPP(c_Relation_Oconverse(T_a,T_a),V_r),T_a),tc_prod(T_a,T_a))| -c_in(c_Pair(V_y,V_x,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)).
% 240.58/240.74  0 [] c_in(c_Pair(V_y,V_x,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))| -c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(hAPP(c_Relation_Oconverse(T_a,T_a),V_r),T_a),tc_prod(T_a,T_a)).
% 240.58/240.74  0 [] c_in(c_Pair(V_z,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))|c_in(c_Pair(V_y,V_z,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))| -c_in(c_Pair(V_x,V_z,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))| -c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))| -c_Relation_Osingle__valued(V_r,T_a,T_a).
% 240.58/240.74  0 [] c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))| -c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)).
% 240.58/240.74  0 [] c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))| -c_in(c_Pair(V_b,V_c,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))| -c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)).
% 240.58/240.74  0 [] c_in(c_Pair(V_x,V_z,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))| -c_in(c_Pair(V_y,V_z,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))| -c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)).
% 240.58/240.74  0 [] c_in(c_Pair(V_x,V_y,T_a,T_a),hAPP(c_Relation_Oconverse(T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a)),tc_prod(T_a,T_a))| -c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Otrancl(hAPP(c_Relation_Oconverse(T_a,T_a),V_r),T_a),tc_prod(T_a,T_a)).
% 240.58/240.74  0 [] c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Otrancl(hAPP(c_Relation_Oconverse(T_a,T_a),V_r),T_a),tc_prod(T_a,T_a))| -c_in(c_Pair(V_x,V_y,T_a,T_a),hAPP(c_Relation_Oconverse(T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a)),tc_prod(T_a,T_a)).
% 240.58/240.74  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).
% 240.58/240.74  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).
% 240.58/240.74  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)).
% 240.58/240.74  0 [] c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)| -c_in(V_x,V_A,T_a).
% 240.58/240.74  0 [] c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a)| -c_in(V_x,V_A,T_b).
% 240.58/240.74  0 [] -c_in(V_x,V_A,T_b)|c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a).
% 240.58/240.74  0 [] -c_in(V_x,V_A,T_aa)|c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_aa,T_a),T_a).
% 240.58/240.74  0 [] c_in(V_x,c_Wellfounded_Oacc(V_r,T_a),T_a)| -c_Wellfounded_Owf(V_r,T_a).
% 240.58/240.74  0 [] c_Relation_Osingle__valued(c_Relation_OId__on(V_A,T_a),T_a,T_a).
% 240.58/240.74  0 [] c_Relation_Osym(c_Transitive__Closure_Otrancl(V_r,T_a),T_a)| -c_Relation_Osym(V_r,T_a).
% 240.58/240.74  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)))| -c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a).
% 240.58/240.74  0 [] c_Transitive__Closure_Otrancl(V_r,T_a)=V_r| -c_Relation_Otrans(V_r,T_a).
% 240.58/240.74  0 [] hBOOL(hAPP(V_P,V_x))| -hBOOL(hAPP(V_P,v_sko__Wellfounded__Xacc__Xinducts__1(V_P,V_r)))| -c_in(V_x,c_Wellfounded_Oacc(V_r,t_a),t_a).
% 240.58/240.74  0 [] c_Relation_Osym(V_r,T_a)| -c_Relation_Osym(hAPP(c_Relation_Oconverse(T_a,T_a),V_r),T_a).
% 240.58/240.74  0 [] c_Relation_Osym(hAPP(c_Relation_Oconverse(T_a,T_a),V_r),T_a)| -c_Relation_Osym(V_r,T_a).
% 240.58/240.74  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).
% 240.58/240.74  0 [] c_in(c_ATP__Linkup_Osko__Relation__XImage__iff__1__1(V_A,V_b,V_r,T_b,T_a),V_A,T_b)| -c_in(V_b,c_Relation_OImage(V_r,V_A,T_b,T_a),T_a).
% 240.58/240.74  0 [] c_Relation_Osym(c_Relation_OId(T_a),T_a).
% 240.58/240.74  0 [] c_Relation_Otrans(c_Relation_OId__on(V_A,T_a),T_a).
% 240.58/240.74  0 [] c_Relation_Orel__comp(c_Relation_OId(T_a),V_R,T_a,T_a,T_b)=V_R.
% 240.58/240.74  0 [] c_Relation_Orel__comp(V_R,c_Relation_OId(T_b),T_a,T_b,T_b)=V_R.
% 240.58/240.74  0 [] c_Relation_Oantisym(c_Relation_OId__on(V_A,T_a),T_a).
% 240.58/240.74  0 [] c_Wellfounded_Owf(hAPP(c_Relation_Oconverse(T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a)),T_a)| -c_Wellfounded_Owf(hAPP(c_Relation_Oconverse(T_a,T_a),V_r),T_a).
% 240.58/240.74  0 [] c_Relation_Orefl__on(V_A,V_r,T_a)| -c_Relation_Orefl__on(V_A,hAPP(c_Relation_Oconverse(T_a,T_a),V_r),T_a).
% 240.58/240.74  0 [] c_Relation_Orefl__on(V_A,hAPP(c_Relation_Oconverse(T_a,T_a),V_r),T_a)| -c_Relation_Orefl__on(V_A,V_r,T_a).
% 240.58/240.74  0 [] c_Relation_Osym(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a)| -c_Relation_Osym(V_r,T_a).
% 240.58/240.74  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).
% 240.58/240.74  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).
% 240.58/240.74  0 [] c_Relation_OImage(c_Relation_OId(T_a),V_A,T_a,T_a)=V_A.
% 240.58/240.74  0 [] c_Relation_Osingle__valued(c_Relation_OId(T_a),T_a,T_a).
% 240.58/240.74  0 [] c_Relation_ODomain(c_Relation_OId__on(V_A,T_a),T_a,T_a)=V_A.
% 240.58/240.74  0 [] hAPP(c_Relation_Oconverse(T_a,T_a),V_r)=V_r| -c_Relation_Osym(V_r,T_a).
% 240.58/240.74  0 [] hAPP(c_Relation_Oconverse(T_a,T_a),V_r)!=V_r|c_Relation_Osym(V_r,T_a).
% 240.58/240.74  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).
% 240.58/240.74  0 [] c_Relation_Otrans(c_Transitive__Closure_Otrancl(V_r,T_a),T_a).
% 240.58/240.74  0 [] hAPP(c_Relation_Oconverse(T_b,T_a),c_Relation_Orel__comp(V_r,V_s,T_b,T_c,T_a))=c_Relation_Orel__comp(hAPP(c_Relation_Oconverse(T_c,T_a),V_s),hAPP(c_Relation_Oconverse(T_b,T_c),V_r),T_a,T_c,T_b).
% 240.58/240.74  0 [] c_Relation_Osym(c_Relation_OId__on(V_A,T_a),T_a).
% 240.58/240.74  0 [] c_Relation_Orefl__on(V_A,c_Relation_OId__on(V_A,T_a),T_a).
% 240.58/240.74  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).
% 240.58/240.74  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).
% 240.58/240.74  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).
% 240.58/240.74  0 [] c_Transitive__Closure_Otrancl(c_Transitive__Closure_Ortrancl(V_R,T_a),T_a)=c_Transitive__Closure_Ortrancl(V_R,T_a).
% 240.58/240.74  0 [] c_Relation_Otrans(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a).
% 240.58/240.74  0 [] c_Relation_Otrans(V_r,T_a)| -c_Relation_Otrans(hAPP(c_Relation_Oconverse(T_a,T_a),V_r),T_a).
% 240.58/240.74  0 [] c_Relation_Otrans(hAPP(c_Relation_Oconverse(T_a,T_a),V_r),T_a)| -c_Relation_Otrans(V_r,T_a).
% 240.58/240.74  0 [] hAPP(c_Relation_Oconverse(T_a,T_a),c_Relation_OId(T_a))=c_Relation_OId(T_a).
% 240.58/240.74  0 [] c_Wellfounded_Owf(c_Transitive__Closure_Otrancl(V_r,T_a),T_a)| -c_Wellfounded_Owf(V_r,T_a).
% 240.58/240.74  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).
% 240.58/240.74  0 [] hAPP(c_Relation_Oconverse(T_a,T_a),c_Relation_Oinv__image(V_R,V_f,T_b,T_a))=c_Relation_Oinv__image(hAPP(c_Relation_Oconverse(T_b,T_b),V_R),V_f,T_b,T_a).
% 240.58/240.74  0 [] c_Transitive__Closure_Otrancl(hAPP(c_Relation_Oconverse(T_a,T_a),V_r),T_a)=hAPP(c_Relation_Oconverse(T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a)).
% 240.58/240.74  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).
% 240.58/240.74  0 [] hAPP(c_Relation_Oconverse(T_a,T_a),c_Relation_OId__on(V_A,T_a))=c_Relation_OId__on(V_A,T_a).
% 240.58/240.74  0 [] c_Relation_Orel__comp(hAPP(c_Relation_Oconverse(T_a,T_a),V_r),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).
% 240.58/240.74  0 [] c_Relation_Oantisym(c_Relation_OId(T_a),T_a).
% 240.58/240.74  0 [] c_Relation_ORange(hAPP(c_Relation_Oconverse(T_a,T_b),V_r),T_b,T_a)=c_Relation_ODomain(V_r,T_a,T_b).
% 240.58/240.74  0 [] c_in(c_ATP__Linkup_Osko__Wellfounded__Xwf__e_q__minimal__1__1(V_Q,V_r,T_a),V_Q,T_a)| -c_in(V_xa,V_Q,T_a)| -c_Wellfounded_Owf(V_r,T_a).
% 240.58/240.74  0 [] c_Relation_ORange(c_Relation_OId__on(V_A,T_a),T_a,T_a)=V_A.
% 240.58/240.74  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).
% 240.58/240.74  0 [] hAPP(c_Relation_Oconverse(T_b,T_a),hAPP(c_Relation_Oconverse(T_a,T_b),V_r))=V_r.
% 240.58/240.74  0 [] c_Relation_Otrans(c_Relation_OId(T_a),T_a).
% 240.58/240.74  0 [] c_Relation_Orel__comp(hAPP(c_Relation_Oconverse(T_a,T_a),V_r),V_r,T_a,T_a,T_a)=V_r| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a).
% 240.58/240.74  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).
% 240.58/240.74  0 [] c_Relation_Oantisym(V_r,T_a)| -c_Relation_Oantisym(hAPP(c_Relation_Oconverse(T_a,T_a),V_r),T_a).
% 240.58/240.74  0 [] c_Relation_Oantisym(hAPP(c_Relation_Oconverse(T_a,T_a),V_r),T_a)| -c_Relation_Oantisym(V_r,T_a).
% 240.58/240.74  0 [] hBOOL(hAPP(V_P,V_x))| -hBOOL(hAPP(V_P,v_sko__Wellfounded__Xacc__Xinduct__1(V_P,V_r)))| -c_in(V_x,c_Wellfounded_Oacc(V_r,t_a),t_a).
% 240.58/240.74  0 [] c_Relation_Orefl__on(V_A,V_r,T_a)| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a).
% 240.58/240.74  0 [] c_Transitive__Closure_Ortrancl(hAPP(c_Relation_Oconverse(T_a,T_a),V_r),T_a)=hAPP(c_Relation_Oconverse(T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a)).
% 240.58/240.74  0 [] c_in(c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1(V_Q,V_R,T_a),V_Q,T_a)| -c_in(V_x,V_Q,T_a)| -c_Wellfounded_Owf(V_R,T_a).
% 240.58/240.74  0 [] c_Relation_Osym(V_r,T_a)| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a).
% 240.58/240.74  0 [] c_in(V_x,c_Wellfounded_Oacc(V_r,T_a),T_a)| -c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1(V_r,V_x,T_a),c_Wellfounded_Oacc(V_r,T_a),T_a).
% 240.58/240.74  0 [] c_Equiv__Relations_Ocongruent(V_r2,hAPP(V_f,V_a),T_b,T_c)| -c_in(V_a,V_A,T_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).
% 240.58/240.74  0 [] c_Relation_ODomain(hAPP(c_Relation_Oconverse(T_b,T_a),V_r),T_a,T_b)=c_Relation_ORange(V_r,T_b,T_a).
% 240.58/240.74  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).
% 240.58/240.74  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).
% 240.58/240.74  0 [] c_Relation_ORange(V_r,T_b,T_a)=c_Relation_ODomain(hAPP(c_Relation_Oconverse(T_b,T_a),V_r),T_a,T_b).
% 240.58/240.74  0 [] c_Relation_Ototal__on(V_A,V_r,T_a)| -c_Relation_Ototal__on(V_A,hAPP(c_Relation_Oconverse(T_a,T_a),V_r),T_a).
% 240.58/240.74  0 [] c_Relation_Ototal__on(V_A,hAPP(c_Relation_Oconverse(T_a,T_a),V_r),T_a)| -c_Relation_Ototal__on(V_A,V_r,T_a).
% 240.58/240.74  0 [] c_Relation_Otrans(V_r,T_a)| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a).
% 240.58/240.74  0 [] hBOOL(hAPP(V_P,V_a))|c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(V_P,V_r,T_a),c_Wellfounded_Oacc(V_r,T_a),T_a)| -c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a).
% 240.58/240.74  0 [] c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Otrancl(V_R,T_a),T_a)=c_Transitive__Closure_Ortrancl(V_R,T_a).
% 240.58/240.74  0 [] c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a)=c_Transitive__Closure_Ortrancl(V_r,T_a).
% 240.58/240.74  0 [] hBOOL(hAPP(V_P,V_x))|hBOOL(hAPP(V_P,V_y))| -c_in(c_Pair(V_y,v_sko__Wellfounded__Xacc__Xinduct__1(V_P,V_r),t_a,t_a),V_r,tc_prod(t_a,t_a))| -c_in(V_x,c_Wellfounded_Oacc(V_r,t_a),t_a).
% 240.58/240.74  0 [] -c_in(V_y,V_Q,T_a)| -c_in(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,tc_prod(T_a,T_a))| -c_in(V_x,V_Q,T_a)| -c_Wellfounded_Owf(V_R,T_a).
% 240.58/240.74  0 [] c_in(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,tc_prod(T_b,T_a))| -c_in(V_b,c_Relation_ORange(V_r,T_b,T_a),T_a).
% 240.58/240.74  0 [] c_in(V_x,c_Wellfounded_Oacc(V_r,T_a),T_a)|c_in(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,tc_prod(T_a,T_a)).
% 240.58/240.74  0 [] c_in(V_b,c_Wellfounded_Oacc(V_r,T_a),T_a)| -c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a)| -c_in(c_Pair(V_b,V_a,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)).
% 240.58/240.74  0 [] c_in(V_b,c_Wellfounded_Oacc(V_r,T_a),T_a)| -c_in(c_Pair(V_b,V_a,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))| -c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a).
% 240.58/240.74  0 [] hBOOL(hAPP(V_P,V_x))|c_in(V_ya,c_Wellfounded_Oacc(V_r,t_a),t_a)| -c_in(c_Pair(V_ya,v_sko__Wellfounded__Xacc__Xinducts__1(V_P,V_r),t_a,t_a),V_r,tc_prod(t_a,t_a))| -c_in(V_x,c_Wellfounded_Oacc(V_r,t_a),t_a).
% 240.58/240.74  0 [] c_in(V_x,c_Relation_ODomain(V_R,T_a,T_a),T_a)|c_in(c_Pair(V_x,V_x,T_a,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),tc_prod(T_a,T_a)).
% 240.58/240.74  0 [] hBOOL(hAPP(V_P,V_x))|hBOOL(hAPP(V_P,V_y))| -c_in(c_Pair(V_y,v_sko__Wellfounded__Xacc__Xinducts__1(V_P,V_r),t_a,t_a),V_r,tc_prod(t_a,t_a))| -c_in(V_x,c_Wellfounded_Oacc(V_r,t_a),t_a).
% 240.58/240.74  0 [] c_in(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),T_c)| -c_in(c_Pair(V_a,V_b,T_a,T_b),V_A,tc_prod(T_a,T_b)).
% 240.58/240.74  0 [] c_in(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,tc_prod(T_a,T_b))| -c_in(V_a,c_Relation_ODomain(V_r,T_a,T_b),T_a).
% 240.58/240.74  0 [] hBOOL(hAPP(V_P,V_x))|c_in(V_ya,c_Wellfounded_Oacc(V_r,t_a),t_a)| -c_in(c_Pair(V_ya,v_sko__Wellfounded__Xacc__Xinduct__1(V_P,V_r),t_a,t_a),V_r,tc_prod(t_a,t_a))| -c_in(V_x,c_Wellfounded_Oacc(V_r,t_a),t_a).
% 240.58/240.74  0 [] hBOOL(hAPP(V_P,V_a))|hBOOL(hAPP(V_P,V_y))| -c_in(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,tc_prod(T_a,T_a))| -c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a).
% 240.58/240.74  0 [] -c_in(V_y,V_Q,T_a)| -c_in(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,tc_prod(T_a,T_a))| -c_in(V_xa,V_Q,T_a)| -c_Wellfounded_Owf(V_r,T_a).
% 240.58/240.74  0 [] c_in(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,tc_prod(T_a,T_b))| -c_in(V_a,c_Relation_ODomain(V_r,T_a,T_b),T_a).
% 240.58/240.74  0 [] c_in(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,tc_prod(T_b,T_a))| -c_in(V_b,c_Relation_OImage(V_r,V_A,T_b,T_a),T_a).
% 240.58/240.74  0 [] V_x=V_y| -c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),tc_prod(T_a,T_a))|c_in(V_x,c_Relation_ODomain(V_R,T_a,T_a),T_a).
% 240.58/240.74  0 [] c_in(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,tc_prod(T_b,T_a))| -c_in(V_a,c_Relation_ORange(V_r,T_b,T_a),T_a).
% 240.58/240.74  0 [] c_in(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)),T_a)| -c_in(V_z,hAPP(hAPP(V_c,V_a),V_b),T_a).
% 240.58/240.74  0 [] hAPP(hAPP(V_f,V_y1),V_y2)=hAPP(hAPP(V_f,V_z1),V_z2)| -c_in(c_Pair(V_y2,V_z2,T_b,T_b),V_r2,tc_prod(T_b,T_b))| -c_in(c_Pair(V_y1,V_z1,T_a,T_a),V_r1,tc_prod(T_a,T_a))| -c_Equiv__Relations_Ocongruent2(V_r1,V_r2,V_f,T_a,T_b,T_c).
% 240.58/240.74  0 [] V_y=V_z| -c_in(c_Pair(V_x,V_z,T_a,T_b),V_r,tc_prod(T_a,T_b))| -c_in(c_Pair(V_x,V_y,T_a,T_b),V_r,tc_prod(T_a,T_b))| -c_Relation_Osingle__valued(V_r,T_a,T_b).
% 240.58/240.74  0 [] hAPP(c_Recdef_Ocut(V_f,V_R,V_a,T_a,T_b),V_x)=hAPP(V_f,V_x)| -c_in(c_Pair(V_x,V_a,T_a,T_a),V_R,tc_prod(T_a,T_a)).
% 240.58/240.74  0 [] hAPP(c_Recdef_Ocut(V_f,V_r,V_a,T_a,T_b),V_x)=hAPP(V_f,V_x)| -c_in(c_Pair(V_x,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a)).
% 240.58/240.74  0 [] c_FunDef_Oin__rel(V_R,V_x,V_y,T_a,T_b)| -c_in(c_Pair(V_x,V_y,T_a,T_b),V_R,tc_prod(T_a,T_b)).
% 240.58/240.74  0 [] c_in(c_Pair(V_x,V_y,T_a,T_b),V_R,tc_prod(T_a,T_b))| -c_FunDef_Oin__rel(V_R,V_x,V_y,T_a,T_b).
% 240.58/240.74  0 [] c_in(c_Pair(V_x,V_z,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_in(c_Pair(V_y,V_z,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_Relation_Otrans(V_r,T_a).
% 240.58/240.74  0 [] c_in(c_Pair(V_a,V_c,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_in(c_Pair(V_b,V_c,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_Relation_Otrans(V_r,T_a).
% 240.58/240.74  0 [] c_in(c_Pair(V_a,V_b,T_a,T_b),hAPP(c_Relation_Oconverse(T_b,T_a),V_r),tc_prod(T_a,T_b))| -c_in(c_Pair(V_b,V_a,T_b,T_a),V_r,tc_prod(T_b,T_a)).
% 240.58/240.74  0 [] c_in(c_Pair(V_b,V_a,T_b,T_a),hAPP(c_Relation_Oconverse(T_a,T_b),V_r),tc_prod(T_b,T_a))| -c_in(c_Pair(V_a,V_b,T_a,T_b),V_r,tc_prod(T_a,T_b)).
% 240.58/240.74  0 [] c_in(c_Pair(V_b,V_a,T_b,T_a),V_r,tc_prod(T_b,T_a))| -c_in(c_Pair(V_a,V_b,T_a,T_b),hAPP(c_Relation_Oconverse(T_b,T_a),V_r),tc_prod(T_a,T_b)).
% 240.58/240.74  0 [] -c_in(c_Pair(V_x,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_Relation_Oirrefl(V_r,T_a).
% 240.58/240.74  0 [] c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))| -c_in(c_Pair(V_b,V_c,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)).
% 240.58/240.74  0 [] c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))| -c_in(c_Pair(V_b,V_c,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))| -c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)).
% 240.58/240.74  0 [] c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))| -c_in(c_Pair(V_b,V_c,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)).
% 240.58/240.74  0 [] c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))| -c_in(c_Pair(V_b,V_c,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))| -c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)).
% 240.58/240.74  0 [] c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))| -c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)).
% 240.58/240.74  0 [] c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))| -c_in(c_Pair(V_b,V_c,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))| -c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)).
% 240.58/240.74  0 [] c_in(c_Pair(V_a,V_a,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)).
% 240.58/240.74  0 [] c_in(c_Pair(V_x,V_x,T_a,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),tc_prod(T_a,T_a)).
% 240.58/240.74  0 [] -c_in(c_Pair(V_x,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_in(c_Pair(V_a,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_Wellfounded_Owf(V_r,T_a).
% 240.58/240.74  0 [] V_x=V_y| -c_in(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_Relation_Oantisym(V_r,T_a).
% 240.58/240.74  0 [] V_a=V_b| -c_in(c_Pair(V_b,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_Relation_Oantisym(V_r,T_a).
% 240.58/240.74  0 [] hAPP(V_f,V_y)=hAPP(V_f,V_z)| -c_in(c_Pair(V_y,V_z,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_Equiv__Relations_Ocongruent(V_r,V_f,T_a,T_b).
% 240.58/240.74  0 [] V_x=V_y| -c_in(c_Pair(V_x,V_y,T_a,T_a),c_Relation_OId__on(V_A,T_a),tc_prod(T_a,T_a)).
% 240.58/240.74  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)| -c_in(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)).
% 240.58/240.74  0 [] V_a=V_b| -c_in(c_Pair(V_a,V_b,T_a,T_a),c_Relation_OId(T_a),tc_prod(T_a,T_a)).
% 240.58/240.74  0 [] c_in(c_Pair(V_x,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_Nitpick_Orefl_H(V_r,T_a).
% 240.58/240.74  0 [] -c_in(c_Pair(V_a,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_Wellfounded_Owf(V_r,T_a).
% 240.58/240.74  0 [] c_in(c_Pair(V_x,V_y,T_a,T_a),c_Relation_Oinv__image(V_r,V_f,T_b,T_a),tc_prod(T_a,T_a))| -c_in(c_Pair(hAPP(V_f,V_x),hAPP(V_f,V_y),T_b,T_b),V_r,tc_prod(T_b,T_b)).
% 240.58/240.74  0 [] c_in(c_Pair(hAPP(V_f,V_x),hAPP(V_f,V_y),T_b,T_b),V_r,tc_prod(T_b,T_b))| -c_in(c_Pair(V_x,V_y,T_a,T_a),c_Relation_Oinv__image(V_r,V_f,T_b,T_a),tc_prod(T_a,T_a)).
% 240.58/240.74  0 [] c_in(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_Relation_Osym(V_r,T_a).
% 240.58/240.74  0 [] c_in(c_Pair(V_b,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_Relation_Osym(V_r,T_a).
% 240.58/240.74  0 [] c_in(c_Pair(V_a,V_c,T_a,T_c),c_Relation_Orel__comp(V_r,V_s,T_a,T_b,T_c),tc_prod(T_a,T_c))| -c_in(c_Pair(V_b,V_c,T_b,T_c),V_s,tc_prod(T_b,T_c))| -c_in(c_Pair(V_a,V_b,T_a,T_b),V_r,tc_prod(T_a,T_b)).
% 240.58/240.74  0 [] c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Otrancl(V_R,T_a),tc_prod(T_a,T_a))| -c_in(c_Pair(V_b,V_c,T_a,T_a),V_R,tc_prod(T_a,T_a))| -c_in(c_Pair(V_a,V_b,T_a,T_a),V_R,tc_prod(T_a,T_a)).
% 240.58/240.74  0 [] c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))| -c_in(c_Pair(V_b,V_c,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))| -c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)).
% 240.58/240.74  0 [] c_in(c_Pair(V_x,V_x,T_a,T_a),c_Relation_OId(T_a),tc_prod(T_a,T_a)).
% 240.58/240.74  0 [] c_in(c_Pair(V_a,V_a,T_a,T_a),c_Relation_OId(T_a),tc_prod(T_a,T_a)).
% 240.58/240.74  0 [] c_in(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),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|V_x=V_y|V_x=V_z.
% 240.58/240.74  0 [] c_in(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),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|V_y=V_z|V_x=V_z.
% 240.58/240.74  0 [] -c_in(c_Pair(V_x,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(V_L,V_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 240.58/240.74  0 [] -c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(V_L,V_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 240.58/240.74  0 [] c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|V_y=V_z| -c_in(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),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 240.58/240.74  0 [] V_x=V_y|V_y=V_x|c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(V_L,V_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 240.58/240.74  0 [] -c_in(c_Pair(V_x,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(V_L,V_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 240.58/240.74  0 [] -c_in(c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(V_L,V_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 240.58/240.74  0 [] c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(V_L,V_z),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|V_x=V_y|V_y=V_z.
% 240.58/240.74  0 [] c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(V_L,V_z),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|V_x=V_z|V_y=V_z.
% 240.58/240.74  0 [] V_xa=V_x|V_xa=V_x|c_in(c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(V_L,V_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 240.58/240.74  0 [] c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|V_x=V_z| -c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(V_L,V_z),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 240.58/240.74  0 [] c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(V_a,V_b),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|V_a=V_b.
% 240.58/240.74  0 [] c_in(c_Pair(V_a,V_b,T_a,T_b),c_Product__Type_OSigma(V_A,V_B,T_a,T_b),tc_prod(T_a,T_b))| -c_in(V_b,hAPP(V_B,V_a),T_b)| -c_in(V_a,V_A,T_a).
% 240.58/240.74  0 [] c_in(c_Pair(V_a,V_b,T_a,T_b),c_Product__Type_OSigma(V_A,V_B,T_a,T_b),tc_prod(T_a,T_b))| -c_in(V_b,hAPP(V_B,V_a),T_b)| -c_in(V_a,V_A,T_a).
% 240.58/240.74  0 [] c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a)| -c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_in(V_b,c_Wellfounded_Oacc(V_r,T_a),T_a).
% 240.58/240.74  0 [] c_in(V_y,c_Wellfounded_Oacc(V_r,T_a),T_a)| -c_in(c_Pair(V_y,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a).
% 240.58/240.74  0 [] c_in(V_b,c_Relation_OImage(V_r,V_A,T_a,T_b),T_b)| -c_in(c_Pair(V_a,V_b,T_a,T_b),V_r,tc_prod(T_a,T_b))| -c_in(V_a,V_A,T_a).
% 240.58/240.74  0 [] c_in(V_b,c_Relation_OImage(V_r,V_A,T_b,T_a),T_a)| -c_in(c_Pair(V_x,V_b,T_b,T_a),V_r,tc_prod(T_b,T_a))| -c_in(V_x,V_A,T_b).
% 240.58/240.74  0 [] c_in(V_x,V_A,T_a)| -c_in(c_Pair(V_x,V_y,T_a,T_a),c_Relation_OId__on(V_A,T_a),tc_prod(T_a,T_a)).
% 240.58/240.74  0 [] c_in(c_Pair(V_x,V_x,T_a,T_a),c_Relation_OId__on(V_A,T_a),tc_prod(T_a,T_a))| -c_in(V_x,V_A,T_a).
% 240.58/240.74  0 [] c_in(V_y,V_A,T_a)| -c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a).
% 240.58/240.74  0 [] c_in(V_x,V_A,T_a)| -c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a).
% 240.58/240.74  0 [] c_in(V_a,c_Relation_ORange(V_r,T_b,T_a),T_a)| -c_in(c_Pair(V_x,V_a,T_b,T_a),V_r,tc_prod(T_b,T_a)).
% 240.58/240.74  0 [] c_in(V_b,c_Relation_ORange(V_r,T_a,T_b),T_b)| -c_in(c_Pair(V_a,V_b,T_a,T_b),V_r,tc_prod(T_a,T_b)).
% 240.58/240.74  0 [] c_in(V_a,c_Relation_ODomain(V_r,T_a,T_b),T_a)| -c_in(c_Pair(V_a,V_x,T_a,T_b),V_r,tc_prod(T_a,T_b)).
% 240.58/240.74  0 [] c_in(V_a,c_Relation_ODomain(V_r,T_a,T_b),T_a)| -c_in(c_Pair(V_a,V_b,T_a,T_b),V_r,tc_prod(T_a,T_b)).
% 240.58/240.74  0 [] c_in(V_b,hAPP(V_B,V_a),T_b)| -c_in(c_Pair(V_a,V_b,T_a,T_b),c_Product__Type_OSigma(V_A,V_B,T_a,T_b),tc_prod(T_a,T_b)).
% 240.58/240.74  0 [] c_in(V_a,V_A,T_a)| -c_in(c_Pair(V_a,V_b,T_a,T_b),c_Product__Type_OSigma(V_A,V_B,T_a,T_b),tc_prod(T_a,T_b)).
% 240.58/240.74  0 [] c_in(c_Pair(V_xa,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a))|c_in(c_Pair(V_x,V_xa,T_a,T_a),V_r,tc_prod(T_a,T_a))|V_x=V_xa| -c_in(V_xa,V_A,T_a)| -c_in(V_x,V_A,T_a)| -c_Relation_Ototal__on(V_A,V_r,T_a).
% 240.58/240.74  0 [] c_in(c_Pair(V_x,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_in(V_x,V_A,T_a)| -c_Relation_Orefl__on(V_A,V_r,T_a).
% 240.58/240.74  0 [] c_in(V_y,V_A,T_a)| -c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_Relation_Orefl__on(V_A,V_r,T_a).
% 240.58/240.74  0 [] c_in(V_x,V_A,T_a)| -c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_Relation_Orefl__on(V_A,V_r,T_a).
% 240.58/240.74  0 [] c_in(c_Pair(V_a,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_in(V_a,V_A,T_a)| -c_Relation_Orefl__on(V_A,V_r,T_a).
% 240.58/240.74  0 [] v_a____!=v_b____.
% 240.58/240.74  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.
% 240.58/240.74  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.
% 240.58/240.74  0 [] c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,V_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,V_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 240.58/240.74  0 [] c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,V_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,V_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 240.58/240.74  0 [] v_b____!=v_c____.
% 240.58/240.74  0 [] c_in(V_x,V_S,T_a)| -hBOOL(hAPP(V_S,V_x)).
% 240.58/240.74  0 [] hBOOL(hAPP(V_S,V_x))| -c_in(V_x,V_S,T_a).
% 240.58/240.74  0 [] v_a____!=v_c____.
% 240.58/240.74  0 [] c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 240.58/240.74  0 [] c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 240.58/240.74  0 [] c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 240.58/240.74  0 [] c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 240.58/240.74  0 [] -c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 240.58/240.74  0 [] c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 240.58/240.74  0 [] class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 240.58/240.74  0 [] class_Lattices_Olower__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 240.58/240.74  0 [] class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1))| -class_Lattices_Odistrib__lattice(T_1).
% 240.58/240.74  0 [] class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))| -class_Lattices_Obounded__lattice(T_1).
% 240.58/240.74  0 [] class_Orderings_Opreorder(tc_fun(T_2,T_1))| -class_Orderings_Opreorder(T_1).
% 240.58/240.74  0 [] class_Lattices_Olattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 240.58/240.74  0 [] class_Orderings_Oorder(tc_fun(T_2,T_1))| -class_Orderings_Oorder(T_1).
% 240.58/240.74  0 [] class_Orderings_Obot(tc_fun(T_2,T_1))| -class_Orderings_Obot(T_1).
% 240.58/240.74  0 [] class_HOL_Oord(tc_fun(T_2,T_1))| -class_HOL_Oord(T_1).
% 240.58/240.74  0 [] class_Lattices_Oupper__semilattice(tc_bool).
% 240.58/240.74  0 [] class_Lattices_Olower__semilattice(tc_bool).
% 240.58/240.74  0 [] class_Lattices_Odistrib__lattice(tc_bool).
% 240.58/240.74  0 [] class_Lattices_Obounded__lattice(tc_bool).
% 240.58/240.74  0 [] class_Orderings_Opreorder(tc_bool).
% 240.58/240.74  0 [] class_Lattices_Olattice(tc_bool).
% 240.58/240.74  0 [] class_Orderings_Oorder(tc_bool).
% 240.58/240.74  0 [] class_Orderings_Obot(tc_bool).
% 240.58/240.74  0 [] class_HOL_Oord(tc_bool).
% 240.58/240.74  0 [] c_fe_qual(V_x,V_x,T_a).
% 240.58/240.74  0 [] V_X=V_Y| -c_fe_qual(V_X,V_Y,T_a).
% 240.58/240.74  end_of_list.
% 240.58/240.74  
% 240.58/240.74  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 240.58/240.74  
% 240.58/240.74  This ia a non-Horn set with equality.  The strategy will be
% 240.58/240.74  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 240.58/240.74  deletion, with positive clauses in sos and nonpositive
% 240.58/240.74  clauses in usable.
% 240.58/240.74  
% 240.58/240.74     dependent: set(knuth_bendix).
% 240.58/240.74     dependent: set(anl_eq).
% 240.58/240.74     dependent: set(para_from).
% 240.58/240.74     dependent: set(para_into).
% 240.58/240.74     dependent: clear(para_from_right).
% 240.58/240.74     dependent: clear(para_into_right).
% 240.58/240.74     dependent: set(para_from_vars).
% 240.58/240.74     dependent: set(eq_units_both_ways).
% 240.58/240.74     dependent: set(dynamic_demod_all).
% 240.58/240.74     dependent: set(dynamic_demod).
% 240.58/240.74     dependent: set(order_eq).
% 240.58/240.74     dependent: set(back_demod).
% 240.58/240.74     dependent: set(lrpo).
% 240.58/240.74     dependent: set(hyper_res).
% 240.58/240.74     dependent: set(unit_deletion).
% 240.58/240.74     dependent: set(factor).
% 240.58/240.74  
% 240.58/240.74  ------------> process usable:
% 240.58/240.74  ** KEPT (pick-wt=17): 1 [] -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).
% 240.58/240.74  ** KEPT (pick-wt=17): 2 [] -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).
% 240.58/240.74  ** KEPT (pick-wt=14): 3 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)!=c_HOL_Ominus__class_Ominus(C,D,A)|C=D.
% 240.58/240.74  ** KEPT (pick-wt=14): 4 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,D,A)|B=C.
% 240.58/240.74  ** KEPT (pick-wt=8): 5 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,B,A)=B.
% 240.58/240.74  ** KEPT (pick-wt=20): 7 [copy,6,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).
% 240.58/240.74  ** KEPT (pick-wt=20): 9 [copy,8,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).
% 240.58/240.74  ** KEPT (pick-wt=19): 10 [] c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool))=A.
% 240.58/240.74  ** KEPT (pick-wt=13): 11 [] A=B| -c_in(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C).
% 240.58/240.74  ** KEPT (pick-wt=20): 12 [] c_Set_Oimage(c_COMBK(A,B,C),D,C,B)=c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)| -c_in(E,D,C).
% 240.58/240.74  ** KEPT (pick-wt=30): 13 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))| -c_in(B,A,C)| -c_lesse_quals(A,c_Set_Oinsert(B,D,C),tc_fun(C,tc_bool)).
% 240.58/240.74  ** KEPT (pick-wt=30): 14 [] c_lesse_quals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_in(B,A,D)| -c_lesse_quals(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)).
% 240.58/240.74    Following clause subsumed by 14 during input processing: 0 [] c_lesse_quals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_in(B,A,D)| -c_lesse_quals(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)).
% 240.58/240.74  ** KEPT (pick-wt=20): 15 [] c_HOL_Ominus__class_Ominus(c_Set_Oinsert(A,B,C),D,tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(B,D,tc_fun(C,tc_bool))| -c_in(A,D,C).
% 240.58/240.74  ** KEPT (pick-wt=16): 16 [] 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)).
% 240.58/240.74  ** KEPT (pick-wt=7): 17 [] -class_Orderings_Obot(A)|c_lesse_quals(c_Orderings_Obot__class_Obot(A),B,A).
% 240.58/240.74  ** KEPT (pick-wt=9): 18 [] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 240.58/240.74  ** KEPT (pick-wt=16): 19 [] 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).
% 240.58/240.74  ** KEPT (pick-wt=10): 20 [] -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).
% 240.58/240.74  ** KEPT (pick-wt=10): 21 [] -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).
% 240.58/240.74  ** KEPT (pick-wt=29): 22 [] 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)).
% 240.58/240.74  ** KEPT (pick-wt=29): 23 [] 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)).
% 240.58/240.74  ** KEPT (pick-wt=17): 24 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(C,B))| -hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(C,A,tc_fun(D,tc_bool)),B)).
% 240.58/240.74  ** KEPT (pick-wt=13): 25 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(B,D)).
% 240.58/240.74  ** KEPT (pick-wt=13): 26 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(A,D)).
% 240.58/240.74  ** KEPT (pick-wt=33): 27 [] 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).
% 240.58/240.74  ** KEPT (pick-wt=24): 28 [] 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).
% 240.58/240.74  ** KEPT (pick-wt=17): 29 [] -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).
% 240.58/240.74  ** KEPT (pick-wt=17): 30 [] -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).
% 240.58/240.74  ** KEPT (pick-wt=17): 31 [] -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).
% 240.58/240.74  ** KEPT (pick-wt=17): 32 [] -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).
% 240.58/240.74  ** KEPT (pick-wt=9): 33 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Orderings_Obot__class_Obot(A),A)=B.
% 240.58/240.74  ** KEPT (pick-wt=9): 34 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(A),B,A)=B.
% 240.58/240.74  ** KEPT (pick-wt=7): 35 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B)).
% 240.58/240.74  ** KEPT (pick-wt=28): 36 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),c_HOL_Ominus__class_Ominus(D,E,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))| -c_lesse_quals(E,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)).
% 240.58/240.74  ** KEPT (pick-wt=17): 37 [] -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).
% 240.58/240.74  ** KEPT (pick-wt=17): 38 [] -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).
% 240.58/240.74  ** KEPT (pick-wt=14): 39 [] c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool))=A| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 240.58/240.74  ** KEPT (pick-wt=14): 40 [] c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool))=B| -c_lesse_quals(B,A,tc_fun(C,tc_bool)).
% 240.58/240.74  ** KEPT (pick-wt=12): 41 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=B| -c_lesse_quals(B,C,A).
% 240.58/240.74  ** KEPT (pick-wt=12): 42 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)!=B|c_lesse_quals(B,C,A).
% 240.58/240.74  ** KEPT (pick-wt=12): 43 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=C| -c_lesse_quals(C,B,A).
% 240.58/240.74  ** KEPT (pick-wt=23): 44 [] 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)).
% 240.58/240.74    Following clause subsumed by 44 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)).
% 240.58/240.74  ** KEPT (pick-wt=17): 45 [] -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).
% 240.58/240.74  ** KEPT (pick-wt=9): 46 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A).
% 240.58/240.74  ** KEPT (pick-wt=9): 47 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,B,A),A).
% 240.58/240.74    Following clause subsumed by 45 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).
% 240.58/240.74    Following clause subsumed by 45 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).
% 240.58/240.74  ** KEPT (pick-wt=9): 48 [] -class_Lattices_Olattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,B,A),A).
% 240.58/240.74  ** KEPT (pick-wt=9): 49 [] -class_Lattices_Olattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A).
% 240.58/240.74  ** KEPT (pick-wt=11): 50 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=c_Lattices_Olower__semilattice__class_Oinf(C,B,A).
% 240.58/240.74  ** KEPT (pick-wt=11): 51 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=c_Lattices_Olower__semilattice__class_Oinf(C,B,A).
% 240.58/240.74  ** KEPT (pick-wt=6): 52 [] c_Wellfounded_Oacyclic(A,B)| -c_Wellfounded_Owf(A,B).
% 240.58/240.74  ** KEPT (pick-wt=19): 53 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_HOL_Ominus__class_Ominus(B,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=B| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 240.58/240.74  ** KEPT (pick-wt=21): 54 [] -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).
% 240.58/240.74  ** KEPT (pick-wt=18): 55 [] 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.
% 240.58/240.74    Following clause subsumed by 18 during input processing: 0 [] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|c_in(A,B,C).
% 240.58/240.74  ** KEPT (pick-wt=8): 56 [] c_Relation_Ototal__on(A,B,C)| -c_Order__Relation_Ostrict__linear__order__on(A,B,C).
% 240.58/240.74  ** KEPT (pick-wt=17): 57 [] 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)).
% 240.58/240.74  ** KEPT (pick-wt=17): 58 [] 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)).
% 240.58/240.74  ** KEPT (pick-wt=13): 59 [] -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).
% 240.58/240.74  ** KEPT (pick-wt=13): 60 [] -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).
% 240.58/240.74  ** KEPT (pick-wt=17): 61 [] 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)).
% 240.58/240.74  ** KEPT (pick-wt=17): 62 [] 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)).
% 240.58/240.74  ** KEPT (pick-wt=13): 63 [] -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).
% 240.58/240.74  ** KEPT (pick-wt=13): 64 [] -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).
% 240.58/240.74  ** KEPT (pick-wt=13): 65 [] -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).
% 240.58/240.74  ** KEPT (pick-wt=13): 66 [] -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).
% 240.58/240.74    Following clause subsumed by 63 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).
% 240.58/240.74    Following clause subsumed by 64 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).
% 240.58/240.74  ** KEPT (pick-wt=11): 67 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=c_Lattices_Oupper__semilattice__class_Osup(C,B,A).
% 240.58/240.74  ** KEPT (pick-wt=11): 68 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=c_Lattices_Oupper__semilattice__class_Osup(C,B,A).
% 240.58/240.74  ** KEPT (pick-wt=14): 69 [] -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).
% 240.58/240.74  ** KEPT (pick-wt=14): 70 [] -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).
% 240.58/240.74  ** KEPT (pick-wt=32): 71 [] 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))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)).
% 240.58/240.74  ** KEPT (pick-wt=13): 72 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(C,A,tc_fun(D,tc_bool)),B)).
% 240.58/240.74  ** KEPT (pick-wt=13): 73 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_fun(D,tc_bool)),B)).
% 240.58/240.74  ** KEPT (pick-wt=16): 74 [] 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).
% 240.58/240.74  ** KEPT (pick-wt=22): 75 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))| -c_lesse_quals(A,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 240.58/240.74  ** KEPT (pick-wt=22): 76 [] c_lesse_quals(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)).
% 240.58/240.74  ** KEPT (pick-wt=15): 77 [] c_Wellfounded_Oacyclic(A,B)| -c_Wellfounded_Oacyclic(c_Set_Oinsert(c_Pair(C,D,B,B),A,tc_prod(B,B)),B).
% 240.58/240.74  ** KEPT (pick-wt=17): 78 [] c_in(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),D)| -c_in(A,C,D)| -c_in(A,B,D).
% 240.58/240.74    Following clause subsumed by 78 during input processing: 0 [] c_in(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),D)| -c_in(A,C,D)| -c_in(A,B,D).
% 240.58/240.74  ** KEPT (pick-wt=13): 79 [] c_in(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D)| -c_in(A,B,D).
% 240.58/240.74  ** KEPT (pick-wt=13): 80 [] c_in(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D)| -c_in(A,C,D).
% 240.58/240.74  ** KEPT (pick-wt=7): 81 [] -c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B).
% 240.58/240.74    Following clause subsumed by 81 during input processing: 0 [] hBOOL(hAPP(A,B))| -c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C).
% 240.58/240.74    Following clause subsumed by 81 during input processing: 0 [] -c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B).
% 240.58/240.74    Following clause subsumed by 81 during input processing: 0 [] -c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B).
% 240.58/240.74  ** KEPT (pick-wt=17): 82 [] c_in(A,B,C)|c_in(A,D,C)| -c_in(A,c_Lattices_Oupper__semilattice__class_Osup(D,B,tc_fun(C,tc_bool)),C).
% 240.58/240.74  ** KEPT (pick-wt=13): 83 [] -c_in(A,B,C)| -c_in(A,c_HOL_Ominus__class_Ominus(D,B,tc_fun(C,tc_bool)),C).
% 240.58/240.74  ** KEPT (pick-wt=13): 84 [] c_in(A,B,C)| -c_in(A,c_HOL_Ominus__class_Ominus(B,D,tc_fun(C,tc_bool)),C).
% 240.58/240.74  ** KEPT (pick-wt=13): 85 [] c_in(A,B,C)| -c_in(A,c_Lattices_Olower__semilattice__class_Oinf(D,B,tc_fun(C,tc_bool)),C).
% 240.58/240.74  ** KEPT (pick-wt=13): 86 [] c_in(A,B,C)| -c_in(A,c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(C,tc_bool)),C).
% 240.58/240.74    Following clause subsumed by 81 during input processing: 0 [] -hBOOL(hAPP(A,B))| -c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C).
% 240.58/240.74  ** KEPT (pick-wt=17): 87 [] c_in(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D)|c_in(A,C,D)| -c_in(A,B,D).
% 240.58/240.74    Following clause subsumed by 87 during input processing: 0 [] c_in(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D)|c_in(A,C,D)| -c_in(A,B,D).
% 240.58/240.74  ** KEPT (pick-wt=15): 88 [] -c_in(c_Pair(A,A,B,B),c_Transitive__Closure_Otrancl(C,B),tc_prod(B,B))| -c_Wellfounded_Oacyclic(C,B).
% 240.58/240.74  ** KEPT (pick-wt=43): 89 [] c_in(c_Pair(A,B,C,C),D,tc_prod(C,C))| -c_in(E,c_Lattices_Olower__semilattice__class_Oinf(c_Relation_OImage(D,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C),c_Relation_OImage(D,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C),tc_fun(C,tc_bool)),C)| -c_Equiv__Relations_Oe_quiv(F,D,C).
% 240.58/240.74  ** KEPT (pick-wt=19): 90 [] 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).
% 240.58/240.74  ** KEPT (pick-wt=42): 91 [] c_lesse_quals(c_Product__Type_OSigma(A,B,C,D),c_Product__Type_OSigma(E,F,C,D),tc_fun(tc_prod(C,D),tc_bool))| -c_lesse_quals(hAPP(B,c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1(A,B,F,C,D)),hAPP(F,c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1(A,B,F,C,D)),tc_fun(D,tc_bool))| -c_lesse_quals(A,E,tc_fun(C,tc_bool)).
% 240.58/240.74  ** KEPT (pick-wt=36): 92 [] c_lesse_quals(c_Transitive__Closure_Otrancl(A,B),c_Product__Type_OSigma(C,c_COMBK(C,tc_fun(B,tc_bool),B),B,B),tc_fun(tc_prod(B,B),tc_bool))| -c_lesse_quals(A,c_Product__Type_OSigma(C,c_COMBK(C,tc_fun(B,tc_bool),B),B,B),tc_fun(tc_prod(B,B),tc_bool)).
% 240.58/240.74  ** KEPT (pick-wt=29): 93 [] 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).
% 240.58/240.74  ** KEPT (pick-wt=40): 94 [] 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)).
% 240.58/240.74  ** KEPT (pick-wt=21): 95 [] c_lesse_quals(A,c_Product__Type_OSigma(B,c_COMBK(B,tc_fun(C,tc_bool),C),C,C),tc_fun(tc_prod(C,C),tc_bool))| -c_Equiv__Relations_Oe_quiv(B,A,C).
% 240.58/240.74  ** KEPT (pick-wt=56): 96 [] c_lesse_quals(c_Relation_Orel__comp(A,B,C,D,E),c_Product__Type_OSigma(F,c_COMBK(G,tc_fun(E,tc_bool),C),C,E),tc_fun(tc_prod(C,E),tc_bool))| -c_lesse_quals(B,c_Product__Type_OSigma(H,c_COMBK(G,tc_fun(E,tc_bool),D),D,E),tc_fun(tc_prod(D,E),tc_bool))| -c_lesse_quals(A,c_Product__Type_OSigma(F,c_COMBK(H,tc_fun(D,tc_bool),C),C,D),tc_fun(tc_prod(C,D),tc_bool)).
% 240.58/240.74  ** KEPT (pick-wt=19): 97 [] -c_in(A,B,C)| -c_in(A,D,C)|c_Lattices_Olower__semilattice__class_Oinf(D,B,tc_fun(C,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 240.58/240.74  ** KEPT (pick-wt=16): 98 [] 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).
% 240.58/240.74  ** KEPT (pick-wt=21): 99 [] -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).
% 240.58/240.74  ** KEPT (pick-wt=11): 100 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Olower__semilattice__class_Oinf(B,C,A),A)=B.
% 240.58/240.74  ** KEPT (pick-wt=10): 101 [] c_Wellfounded_Oacyclic(A,B)| -c_Wellfounded_Oacyclic(hAPP(c_Relation_Oconverse(B,B),A),B).
% 240.58/240.74  ** KEPT (pick-wt=10): 102 [] c_Wellfounded_Oacyclic(hAPP(c_Relation_Oconverse(A,A),B),A)| -c_Wellfounded_Oacyclic(B,A).
% 240.58/240.74  ** KEPT (pick-wt=11): 103 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A)=B.
% 240.58/240.74  ** KEPT (pick-wt=12): 104 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=B| -c_lesse_quals(C,B,A).
% 240.58/240.74  ** KEPT (pick-wt=12): 105 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)!=C|c_lesse_quals(B,C,A).
% 240.58/240.74  ** KEPT (pick-wt=12): 106 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=C| -c_lesse_quals(B,C,A).
% 240.58/240.74  ** KEPT (pick-wt=14): 107 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=B| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 240.58/240.74  ** KEPT (pick-wt=14): 108 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=A| -c_lesse_quals(B,A,tc_fun(C,tc_bool)).
% 240.58/240.74  ** KEPT (pick-wt=14): 109 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))!=B|c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 240.58/240.74  ** KEPT (pick-wt=24): 110 [] 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).
% 240.58/240.74  ** KEPT (pick-wt=27): 111 [] 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.
% 240.58/240.74  ** KEPT (pick-wt=27): 112 [] 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.
% 240.58/240.74  ** KEPT (pick-wt=27): 113 [] 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.
% 240.58/240.74  ** KEPT (pick-wt=27): 114 [] 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.
% 240.58/240.74  ** KEPT (pick-wt=15): 115 [] 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)).
% 240.58/240.74  ** KEPT (pick-wt=9): 116 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 240.58/240.74  ** KEPT (pick-wt=23): 118 [copy,117,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))| -c_in(A,C,D).
% 240.58/240.74  ** KEPT (pick-wt=23): 120 [copy,119,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))| -c_in(A,B,D).
% 240.58/240.74  ** KEPT (pick-wt=28): 121 [] 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)).
% 240.58/240.74  ** KEPT (pick-wt=9): 122 [] -class_Lattices_Olattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),B,A).
% 240.58/240.74  ** KEPT (pick-wt=9): 123 [] -class_Lattices_Olattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),C,A).
% 240.58/240.74  ** KEPT (pick-wt=17): 124 [] -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).
% 240.58/240.74    Following clause subsumed by 124 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).
% 240.58/240.74    Following clause subsumed by 124 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).
% 240.58/240.74  ** KEPT (pick-wt=9): 125 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),C,A).
% 240.58/240.74  ** KEPT (pick-wt=9): 126 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),B,A).
% 240.58/240.74  ** KEPT (pick-wt=23): 127 [] 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)).
% 240.58/240.74    Following clause subsumed by 127 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)).
% 240.58/240.74  ** KEPT (pick-wt=20): 128 [] -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).
% 240.58/240.74  ** KEPT (pick-wt=20): 129 [] -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).
% 240.58/240.74  ** KEPT (pick-wt=7): 130 [] c_Relation_Otrans(A,B)| -c_Order__Relation_Ostrict__linear__order__on(C,A,B).
% 240.58/240.74  ** KEPT (pick-wt=14): 131 [] -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).
% 240.58/240.74  ** KEPT (pick-wt=14): 132 [] -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).
% 240.58/240.74  ** KEPT (pick-wt=13): 133 [] 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).
% 240.58/240.74  ** KEPT (pick-wt=13): 134 [] 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).
% 240.58/240.74  ** KEPT (pick-wt=21): 135 [] c_Set_Oinsert(A,c_HOL_Ominus__class_Ominus(B,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)),C)=B| -c_in(A,B,C).
% 240.58/240.74  ** KEPT (pick-wt=8): 136 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,B,A)=B.
% 240.58/240.74  ** KEPT (pick-wt=13): 137 [] -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).
% 240.58/240.74  ** KEPT (pick-wt=13): 138 [] -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).
% 240.58/240.74  ** KEPT (pick-wt=13): 139 [] -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).
% 240.58/240.74  ** KEPT (pick-wt=13): 140 [] -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).
% 240.58/240.74    Following clause subsumed by 137 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).
% 240.58/240.74    Following clause subsumed by 138 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).
% 240.58/240.74  ** KEPT (pick-wt=17): 141 [] 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)).
% 240.58/240.74  ** KEPT (pick-wt=17): 142 [] 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)).
% 240.58/240.74  ** KEPT (pick-wt=14): 143 [] c_Wellfounded_Oacyclic(A,B)| -c_lesse_quals(A,C,tc_fun(tc_prod(B,B),tc_bool))| -c_Wellfounded_Oacyclic(C,B).
% 240.58/240.74  ** KEPT (pick-wt=16): 144 [] 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)).
% 240.58/240.74  ** KEPT (pick-wt=28): 145 [] 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)).
% 240.58/240.74  ** KEPT (pick-wt=27): 146 [] 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)).
% 240.58/240.74  ** KEPT (pick-wt=17): 147 [] hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(B,D))| -hBOOL(hAPP(A,D)).
% 240.58/240.74  ** KEPT (pick-wt=25): 148 [] c_HOL_Ominus__class_Ominus(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=C| -c_lesse_quals(A,B,tc_fun(D,tc_bool))| -c_lesse_quals(C,A,tc_fun(D,tc_bool)).
% 240.58/240.74  ** KEPT (pick-wt=19): 149 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,E,A)|c_lesse_quals(E,D,A)| -c_lesse_quals(C,B,A).
% 240.58/240.74  ** KEPT (pick-wt=19): 150 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,E,A)|c_lesse_quals(C,B,A)| -c_lesse_quals(E,D,A).
% 240.58/240.74  ** KEPT (pick-wt=7): 151 [] c_Relation_Oirrefl(A,B)| -c_Order__Relation_Ostrict__linear__order__on(C,A,B).
% 240.58/240.74  ** KEPT (pick-wt=28): 152 [] c_Product__Type_OSigma(A,c_COMBK(B,tc_fun(C,tc_bool),D),D,C)!=c_Product__Type_OSigma(E,c_COMBK(B,tc_fun(C,tc_bool),D),D,C)| -c_in(F,B,C)|A=E.
% 240.58/240.74  ** KEPT (pick-wt=17): 153 [] c_in(c_ATP__Linkup_Osko__Relation__XImageE__1__1(A,B,C,D,E),A,D)| -c_in(B,c_Relation_OImage(C,A,D,E),E).
% 240.58/240.74  ** KEPT (pick-wt=23): 154 [] c_in(A,c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(tc_prod(D,D),tc_bool)),D),tc_prod(D,D))| -c_in(A,c_Transitive__Closure_Ortrancl(B,D),tc_prod(D,D)).
% 240.58/240.74  ** KEPT (pick-wt=23): 155 [] c_in(A,c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(tc_prod(D,D),tc_bool)),D),tc_prod(D,D))| -c_in(A,c_Transitive__Closure_Ortrancl(C,D),tc_prod(D,D)).
% 240.58/240.74  ** KEPT (pick-wt=19): 156 [] hBOOL(hAPP(A,B))|c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(A,C,D),c_Wellfounded_Oacc(C,D),D)| -c_in(B,c_Wellfounded_Oacc(C,D),D).
% 240.58/240.74  ** KEPT (pick-wt=15): 157 [] -c_in(c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1(A,B,C),c_Wellfounded_Oacc(A,C),C)|c_in(B,c_Wellfounded_Oacc(A,C),C).
% 240.58/240.74  ** KEPT (pick-wt=17): 158 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(A,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(A,C,D)))| -c_in(B,c_Wellfounded_Oacc(C,D),D).
% 240.58/240.74  ** KEPT (pick-wt=37): 159 [] 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).
% 240.58/240.74  ** KEPT (pick-wt=37): 160 [] 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).
% 240.58/240.74  ** KEPT (pick-wt=8): 161 [] c_Relation_Oantisym(c_Transitive__Closure_Ortrancl(A,B),B)| -c_Wellfounded_Oacyclic(A,B).
% 240.58/240.74  ** KEPT (pick-wt=14): 162 [] 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).
% 240.58/240.74  ** KEPT (pick-wt=14): 163 [] 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).
% 240.58/240.74  ** KEPT (pick-wt=14): 164 [] 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).
% 240.58/240.74  ** KEPT (pick-wt=16): 165 [] c_Relation_Ototal__on(A,B,C)| -c_Relation_Ototal__on(A,c_HOL_Ominus__class_Ominus(B,c_Relation_OId(C),tc_fun(tc_prod(C,C),tc_bool)),C).
% 240.58/240.74  ** KEPT (pick-wt=16): 166 [] c_Relation_Ototal__on(A,c_HOL_Ominus__class_Ominus(B,c_Relation_OId(C),tc_fun(tc_prod(C,C),tc_bool)),C)| -c_Relation_Ototal__on(A,B,C).
% 240.58/240.74  ** KEPT (pick-wt=21): 167 [] c_lesse_quals(A,c_Product__Type_OSigma(B,c_COMBK(B,tc_fun(C,tc_bool),C),C,C),tc_fun(tc_prod(C,C),tc_bool))| -c_Relation_Orefl__on(B,A,C).
% 240.58/240.74  ** KEPT (pick-wt=33): 168 [] 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(hAPP(c_Relation_Oconverse(D,E),A),E,D).
% 240.58/240.74  ** KEPT (pick-wt=17): 169 [] c_Relation_Otrans(c_HOL_Ominus__class_Ominus(A,c_Relation_OId(B),tc_fun(tc_prod(B,B),tc_bool)),B)| -c_Relation_Oantisym(A,B)| -c_Relation_Otrans(A,B).
% 240.58/240.74  ** KEPT (pick-wt=17): 170 [] c_Nitpick_Orefl_H(A,B)| -c_in(c_Pair(c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1(A,B),c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1(A,B),B,B),A,tc_prod(B,B)).
% 240.58/240.74  ** KEPT (pick-wt=14): 171 [] c_Order__Relation_Ostrict__linear__order__on(A,B,C)| -c_Relation_Ototal__on(A,B,C)| -c_Relation_Oirrefl(B,C)| -c_Relation_Otrans(B,C).
% 240.58/240.74  ** KEPT (pick-wt=23): 172 [] c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XImageE__1__1(A,B,C,D,E),B,D,E),C,tc_prod(D,E))| -c_in(B,c_Relation_OImage(C,A,D,E),E).
% 240.58/240.74  ** KEPT (pick-wt=27): 173 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(A,C))| -c_in(c_Pair(C,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(A,D,E),E,E),D,tc_prod(E,E))| -c_in(B,c_Wellfounded_Oacc(D,E),E).
% 240.58/240.74  ** KEPT (pick-wt=36): 174 [] c_lesse_quals(c_Product__Type_OSigma(A,c_COMBK(B,tc_fun(C,tc_bool),D),D,C),c_Product__Type_OSigma(E,c_COMBK(B,tc_fun(C,tc_bool),D),D,C),tc_fun(tc_prod(D,C),tc_bool))| -c_lesse_quals(A,E,tc_fun(D,tc_bool))| -c_in(F,B,C).
% 240.58/240.74  ** KEPT (pick-wt=36): 175 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(c_Product__Type_OSigma(A,c_COMBK(D,tc_fun(E,tc_bool),C),C,E),c_Product__Type_OSigma(B,c_COMBK(D,tc_fun(E,tc_bool),C),C,E),tc_fun(tc_prod(C,E),tc_bool))| -c_in(F,D,E).
% 240.58/240.74  ** KEPT (pick-wt=31): 176 [] c_lesse_quals(c_Product__Type_OSigma(A,B,C,D),c_Product__Type_OSigma(E,F,C,D),tc_fun(tc_prod(C,D),tc_bool))|c_in(c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1(A,B,F,C,D),A,C)| -c_lesse_quals(A,E,tc_fun(C,tc_bool)).
% 240.58/240.74  ** KEPT (pick-wt=24): 177 [] -c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Ortrancl(D,C),tc_prod(C,C))| -c_Wellfounded_Oacyclic(c_Set_Oinsert(c_Pair(B,A,C,C),D,tc_prod(C,C)),C).
% 240.58/240.74  ** KEPT (pick-wt=27): 178 [] c_Wellfounded_Oacyclic(c_Set_Oinsert(c_Pair(A,B,C,C),D,tc_prod(C,C)),C)|c_in(c_Pair(B,A,C,C),c_Transitive__Closure_Ortrancl(D,C),tc_prod(C,C))| -c_Wellfounded_Oacyclic(D,C).
% 240.58/240.74  ** KEPT (pick-wt=22): 179 [] c_in(A,c_Relation_OImage(B,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C),C)| -c_in(A,D,C)| -c_Equiv__Relations_Oe_quiv(D,B,C).
% 240.58/240.74  ** KEPT (pick-wt=27): 180 [] c_lesse_quals(c_Relation_OImage(A,B,C,D),E,tc_fun(D,tc_bool))| -c_lesse_quals(A,c_Product__Type_OSigma(F,c_COMBK(E,tc_fun(D,tc_bool),C),C,D),tc_fun(tc_prod(C,D),tc_bool)).
% 240.58/240.74  ** KEPT (pick-wt=41): 181 [] 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)).
% 240.58/240.74  ** KEPT (pick-wt=24): 182 [] c_in(c_Pair(A,B,C,D),E,tc_prod(C,D))| -c_in(B,c_Relation_OImage(E,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,D),D).
% 240.58/240.74  ** KEPT (pick-wt=24): 183 [] c_in(A,c_Relation_OImage(B,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),D,E),E)| -c_in(c_Pair(C,A,D,E),B,tc_prod(D,E)).
% 240.58/240.74  ** KEPT (pick-wt=37): 184 [] 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_in(c_Pair(B,D,C,C),A,tc_prod(C,C))| -c_Equiv__Relations_Oe_quiv(E,A,C).
% 240.58/240.74    Following clause subsumed by 184 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_in(c_Pair(B,D,C,C),A,tc_prod(C,C))| -c_Equiv__Relations_Oe_quiv(E,A,C).
% 240.58/240.74  ** KEPT (pick-wt=41): 185 [] 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_in(c_Pair(B,D,C,C),A,tc_prod(C,C))| -c_in(D,E,C)| -c_Equiv__Relations_Oe_quiv(E,A,C).
% 240.58/240.74    Following clause subsumed by 185 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)|c_in(c_Pair(B,D,C,C),A,tc_prod(C,C))| -c_in(D,E,C)| -c_in(B,E,C).
% 240.58/240.74    Following clause subsumed by 184 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_in(c_Pair(B,D,C,C),A,tc_prod(C,C))| -c_in(D,E,C)| -c_in(B,E,C)| -c_Equiv__Relations_Oe_quiv(E,A,C).
% 240.58/240.74    Following clause subsumed by 185 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_in(D,E,C)| -c_in(B,E,C)| -c_Equiv__Relations_Oe_quiv(E,A,C)|c_in(c_Pair(B,D,C,C),A,tc_prod(C,C)).
% 240.58/240.74  ** KEPT (pick-wt=36): 186 [] c_in(A,B,C)|A=D| -c_lesse_quals(E,c_Product__Type_OSigma(B,c_COMBK(B,tc_fun(C,tc_bool),C),C,C),tc_fun(tc_prod(C,C),tc_bool))| -c_in(c_Pair(A,D,C,C),c_Transitive__Closure_Ortrancl(E,C),tc_prod(C,C)).
% 240.58/240.74  ** KEPT (pick-wt=40): 187 [] 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))| -c_in(c_Pair(B,D,C,C),A,tc_prod(C,C))| -c_Equiv__Relations_Oe_quiv(E,A,C).
% 240.58/240.74  ** KEPT (pick-wt=44): 188 [] c_in(c_Pair(A,B,C,C),D,tc_prod(C,C))| -c_in(B,E,C)| -c_lesse_quals(c_Relation_OImage(D,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C),c_Relation_OImage(D,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C),tc_fun(C,tc_bool))| -c_Equiv__Relations_Oe_quiv(E,D,C).
% 240.58/240.74  ** KEPT (pick-wt=27): 189 [] c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(A,B,C,C),D,tc_prod(C,C)),C)|c_in(c_Pair(B,A,C,C),c_Transitive__Closure_Ortrancl(D,C),tc_prod(C,C))| -c_Wellfounded_Owf(D,C).
% 240.58/240.74  ** KEPT (pick-wt=21): 190 [] c_lesse_quals(A,c_Relation_Orel__comp(hAPP(c_Relation_Oconverse(B,B),A),A,B,B,B),tc_fun(tc_prod(B,B),tc_bool))| -c_Relation_Orefl__on(C,A,B).
% 240.58/240.74  ** KEPT (pick-wt=26): 191 [] c_in(c_Pair(A,c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1(B,A,C,D),D,D),B,tc_prod(D,D))| -c_in(c_Pair(A,C,D,D),c_Transitive__Closure_Otrancl(B,D),tc_prod(D,D)).
% 240.58/240.74  ** KEPT (pick-wt=26): 192 [] c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1(A,B,C,D),C,D,D),A,tc_prod(D,D))| -c_in(c_Pair(B,C,D,D),c_Transitive__Closure_Otrancl(A,D),tc_prod(D,D)).
% 240.58/240.74  ** KEPT (pick-wt=16): 193 [] 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).
% 240.58/240.74  ** KEPT (pick-wt=24): 194 [] c_in(A,c_Transitive__Closure_Otrancl(B,C),tc_prod(C,C))| -c_lesse_quals(D,B,tc_fun(tc_prod(C,C),tc_bool))| -c_in(A,c_Transitive__Closure_Otrancl(D,C),tc_prod(C,C)).
% 240.58/240.74  ** KEPT (pick-wt=15): 195 [] c_Wellfounded_Owf(A,B)| -c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(C,D,B,B),A,tc_prod(B,B)),B).
% 240.58/240.74  ** KEPT (pick-wt=20): 196 [] c_in(hAPP(A,B),C,D)| -c_in(B,E,F)| -c_lesse_quals(c_Set_Oimage(A,E,F,D),C,tc_fun(D,tc_bool)).
% 240.58/240.74  ** KEPT (pick-wt=20): 197 [] c_Set_Oinsert(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)=c_Set_Oimage(A,C,D,E)| -c_in(B,C,D).
% 240.58/240.74  ** KEPT (pick-wt=10): 198 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_lesse_quals(C,B,A).
% 240.58/240.74  ** KEPT (pick-wt=28): 199 [] 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)).
% 240.58/240.74  ** KEPT (pick-wt=18): 200 [] 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)).
% 240.58/240.74  ** KEPT (pick-wt=20): 201 [] -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)).
% 240.58/240.74    Following clause subsumed by 201 during input processing: 0 [] 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)).
% 240.58/240.74  ** KEPT (pick-wt=20): 202 [] 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)).
% 240.58/240.74  ** KEPT (pick-wt=16): 203 [] 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)).
% 240.58/240.74  ** KEPT (pick-wt=14): 204 [] hBOOL(hAPP(A,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool))| -hBOOL(hAPP(C,B)).
% 240.58/240.74  ** KEPT (pick-wt=14): 205 [] c_Relation_Oantisym(A,B)| -c_Relation_Oantisym(C,B)| -c_lesse_quals(A,C,tc_fun(tc_prod(B,B),tc_bool)).
% 240.58/240.74  ** KEPT (pick-wt=6): 206 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,B,A).
% 240.58/240.74  ** KEPT (pick-wt=6): 207 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,B,A).
% 240.58/240.74  ** KEPT (pick-wt=14): 208 [] c_Wellfounded_Owf(A,B)| -c_lesse_quals(A,C,tc_fun(tc_prod(B,B),tc_bool))| -c_Wellfounded_Owf(C,B).
% 240.58/240.75    Following clause subsumed by 204 during input processing: 0 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(C,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool)).
% 240.58/240.75  ** KEPT (pick-wt=18): 209 [] 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)).
% 240.58/240.75  ** KEPT (pick-wt=14): 210 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(D,C,A)| -c_lesse_quals(B,D,A).
% 240.58/240.75  ** KEPT (pick-wt=14): 211 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(D,C,A).
% 240.58/240.75  ** KEPT (pick-wt=19): 212 [] 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))| -c_in(A,D,C).
% 240.58/240.75  ** KEPT (pick-wt=22): 213 [] 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)).
% 240.58/240.75  ** KEPT (pick-wt=13): 214 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(B,C,A)| -c_lesse_quals(C,B,A).
% 240.58/240.75    Following clause subsumed by 214 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 240.58/240.75    Following clause subsumed by 214 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 240.58/240.75  ** KEPT (pick-wt=15): 215 [] A=B| -c_lesse_quals(B,A,tc_fun(C,tc_bool))| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 240.58/240.75    Following clause subsumed by 215 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)).
% 240.58/240.75  ** KEPT (pick-wt=20): 216 [] 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)).
% 240.58/240.75  ** KEPT (pick-wt=14): 217 [] hBOOL(hAPP(A,B))|C=B| -hBOOL(hAPP(c_Set_Oinsert(C,A,D),B)).
% 240.58/240.75  ** KEPT (pick-wt=15): 218 [] 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)).
% 240.58/240.75  ** KEPT (pick-wt=15): 219 [] 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)).
% 240.58/240.75  ** KEPT (pick-wt=34): 220 [] 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)).
% 240.58/240.75  ** KEPT (pick-wt=25): 221 [] 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)).
% 240.58/240.75  ** KEPT (pick-wt=13): 222 [] c_in(A,B,C)| -c_lesse_quals(c_Set_Oinsert(A,D,C),B,tc_fun(C,tc_bool)).
% 240.58/240.75  ** KEPT (pick-wt=11): 223 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),D))| -hBOOL(hAPP(B,D)).
% 240.58/240.75    Following clause subsumed by 218 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))|c_in(B,A,D).
% 240.58/240.75  ** KEPT (pick-wt=19): 224 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))|c_in(D,A,C)| -c_lesse_quals(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool)).
% 240.58/240.75    Following clause subsumed by 218 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))|c_in(B,A,D).
% 240.58/240.75    Following clause subsumed by 224 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))|c_in(D,A,C).
% 240.58/240.75  ** KEPT (pick-wt=18): 225 [] 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)).
% 240.58/240.75  ** KEPT (pick-wt=16): 226 [] -class_HOL_Oord(A)|c_lesse_quals(hAPP(B,C),hAPP(D,C),A)| -c_lesse_quals(B,D,tc_fun(E,A)).
% 240.58/240.75  ** KEPT (pick-wt=11): 227 [] c_in(A,c_Set_Oinsert(B,C,D),D)| -c_in(A,C,D).
% 240.58/240.75    Following clause subsumed by 227 during input processing: 0 [] c_in(A,c_Set_Oinsert(B,C,D),D)| -c_in(A,C,D).
% 240.58/240.75  ** KEPT (pick-wt=14): 228 [] c_in(A,B,C)| -c_in(A,D,C)| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 240.58/240.75    Following clause subsumed by 228 during input processing: 0 [] c_in(A,B,C)| -c_lesse_quals(D,B,tc_fun(C,tc_bool))| -c_in(A,D,C).
% 240.58/240.75    Following clause subsumed by 228 during input processing: 0 [] c_in(A,B,C)| -c_in(A,D,C)| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 240.58/240.75    Following clause subsumed by 228 during input processing: 0 [] c_in(A,B,C)| -c_in(A,D,C)| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 240.58/240.75  ** KEPT (pick-wt=14): 229 [] c_in(A,B,C)|A=D| -c_in(A,c_Set_Oinsert(D,B,C),C).
% 240.58/240.75  ** KEPT (pick-wt=20): 230 [] c_Set_Oinsert(A,B,C)!=c_Set_Oinsert(A,D,C)|c_in(A,D,C)|c_in(A,B,C)|B=D.
% 240.58/240.75  ** KEPT (pick-wt=10): 231 [] c_Set_Oinsert(A,B,C)=B| -c_in(A,B,C).
% 240.58/240.75  ** KEPT (pick-wt=24): 232 [] -c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Ortrancl(D,C),tc_prod(C,C))| -c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(B,A,C,C),D,tc_prod(C,C)),C).
% 240.58/240.75  ** KEPT (pick-wt=28): 233 [] c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1(A,B,C,D),C,D,D),c_Transitive__Closure_Ortrancl(A,D),tc_prod(D,D))| -c_in(c_Pair(B,C,D,D),c_Transitive__Closure_Otrancl(A,D),tc_prod(D,D)).
% 240.58/240.75  ** KEPT (pick-wt=28): 234 [] c_in(c_Pair(A,c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1(B,A,C,D),D,D),c_Transitive__Closure_Ortrancl(B,D),tc_prod(D,D))| -c_in(c_Pair(A,C,D,D),c_Transitive__Closure_Otrancl(B,D),tc_prod(D,D)).
% 240.58/240.75  ** KEPT (pick-wt=23): 235 [] c_lesse_quals(c_Relation_Orel__comp(hAPP(c_Relation_Oconverse(A,A),B),B,A,A,A),B,tc_fun(tc_prod(A,A),tc_bool))| -c_Relation_Otrans(B,A)| -c_Relation_Osym(B,A).
% 240.58/240.75  ** KEPT (pick-wt=14): 236 [] c_in(A,c_Transitive__Closure_Ortrancl(B,C),tc_prod(C,C))| -c_in(A,B,tc_prod(C,C)).
% 240.58/240.75  ** KEPT (pick-wt=14): 237 [] c_in(A,c_Transitive__Closure_Otrancl(B,C),tc_prod(C,C))| -c_in(A,B,tc_prod(C,C)).
% 240.58/240.75  ** KEPT (pick-wt=34): 238 [] c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Otrancl(D,C),tc_prod(C,C))| -c_in(c_Pair(E,B,C,C),c_Transitive__Closure_Ortrancl(D,C),tc_prod(C,C))| -c_in(c_Pair(A,E,C,C),D,tc_prod(C,C)).
% 240.58/240.75  ** KEPT (pick-wt=34): 239 [] c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Otrancl(D,C),tc_prod(C,C))| -c_in(c_Pair(E,B,C,C),D,tc_prod(C,C))| -c_in(c_Pair(A,E,C,C),c_Transitive__Closure_Ortrancl(D,C),tc_prod(C,C)).
% 240.58/240.75  ** KEPT (pick-wt=27): 240 [] c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Ortrancl(D,C),tc_prod(C,C))| -c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Otrancl(D,C),tc_prod(C,C))|A=B.
% 240.58/240.75  ** KEPT (pick-wt=27): 241 [] c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Otrancl(D,C),tc_prod(C,C))|A=B| -c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Ortrancl(D,C),tc_prod(C,C)).
% 240.58/240.75    Following clause subsumed by 241 during input processing: 0 [] c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Otrancl(D,C),tc_prod(C,C))|A=B| -c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Ortrancl(D,C),tc_prod(C,C)).
% 240.58/240.75  ** KEPT (pick-wt=28): 242 [] c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Ortrancl(hAPP(c_Relation_Oconverse(C,C),D),C),tc_prod(C,C))| -c_in(c_Pair(B,A,C,C),c_Transitive__Closure_Ortrancl(D,C),tc_prod(C,C)).
% 240.58/240.75  ** KEPT (pick-wt=28): 243 [] c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Ortrancl(D,C),tc_prod(C,C))| -c_in(c_Pair(B,A,C,C),c_Transitive__Closure_Ortrancl(hAPP(c_Relation_Oconverse(C,C),D),C),tc_prod(C,C)).
% 240.58/240.75  ** KEPT (pick-wt=52): 244 [] c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Ortrancl(D,C),tc_prod(C,C))|c_in(c_Pair(B,A,C,C),c_Transitive__Closure_Ortrancl(D,C),tc_prod(C,C))| -c_in(c_Pair(E,A,C,C),c_Transitive__Closure_Ortrancl(D,C),tc_prod(C,C))| -c_in(c_Pair(E,B,C,C),c_Transitive__Closure_Ortrancl(D,C),tc_prod(C,C))| -c_Relation_Osingle__valued(D,C,C).
% 240.58/240.75  ** KEPT (pick-wt=24): 245 [] c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Ortrancl(D,C),tc_prod(C,C))| -c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Otrancl(D,C),tc_prod(C,C)).
% 240.58/240.75  ** KEPT (pick-wt=36): 246 [] c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Otrancl(D,C),tc_prod(C,C))| -c_in(c_Pair(E,B,C,C),c_Transitive__Closure_Ortrancl(D,C),tc_prod(C,C))| -c_in(c_Pair(A,E,C,C),c_Transitive__Closure_Otrancl(D,C),tc_prod(C,C)).
% 240.58/240.75  ** KEPT (pick-wt=36): 247 [] c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Otrancl(D,C),tc_prod(C,C))| -c_in(c_Pair(E,B,C,C),c_Transitive__Closure_Otrancl(D,C),tc_prod(C,C))| -c_in(c_Pair(A,E,C,C),c_Transitive__Closure_Ortrancl(D,C),tc_prod(C,C)).
% 240.58/240.75  ** KEPT (pick-wt=32): 248 [] c_in(c_Pair(A,B,C,C),hAPP(c_Relation_Oconverse(C,C),c_Transitive__Closure_Otrancl(D,C)),tc_prod(C,C))| -c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Otrancl(hAPP(c_Relation_Oconverse(C,C),D),C),tc_prod(C,C)).
% 240.58/240.75  ** KEPT (pick-wt=32): 249 [] c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Otrancl(hAPP(c_Relation_Oconverse(C,C),D),C),tc_prod(C,C))| -c_in(c_Pair(A,B,C,C),hAPP(c_Relation_Oconverse(C,C),c_Transitive__Closure_Otrancl(D,C)),tc_prod(C,C)).
% 240.58/240.75  ** KEPT (pick-wt=24): 250 [] 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)).
% 240.58/240.75  ** KEPT (pick-wt=14): 251 [] c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)| -c_in(B,C,D).
% 240.58/240.75    Following clause subsumed by 251 during input processing: 0 [] c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)| -c_in(B,C,D).
% 240.58/240.75    Following clause subsumed by 251 during input processing: 0 [] -c_in(A,B,C)|c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E).
% 240.58/240.75    Following clause subsumed by 251 during input processing: 0 [] -c_in(A,B,C)|c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E).
% 240.58/240.75  ** KEPT (pick-wt=9): 252 [] c_in(A,c_Wellfounded_Oacc(B,C),C)| -c_Wellfounded_Owf(B,C).
% 240.58/240.75  ** KEPT (pick-wt=8): 253 [] c_Relation_Osym(c_Transitive__Closure_Otrancl(A,B),B)| -c_Relation_Osym(A,B).
% 240.58/240.75  ** KEPT (pick-wt=17): 254 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(A,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(A,C,D)))| -c_in(B,c_Wellfounded_Oacc(C,D),D).
% 240.58/240.75  ** KEPT (pick-wt=8): 255 [] c_Transitive__Closure_Otrancl(A,B)=A| -c_Relation_Otrans(A,B).
% 240.58/240.75  ** KEPT (pick-wt=16): 256 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(A,v_sko__Wellfounded__Xacc__Xinducts__1(A,C)))| -c_in(B,c_Wellfounded_Oacc(C,t_a),t_a).
% 240.58/240.75  ** KEPT (pick-wt=10): 257 [] c_Relation_Osym(A,B)| -c_Relation_Osym(hAPP(c_Relation_Oconverse(B,B),A),B).
% 240.58/240.75  ** KEPT (pick-wt=10): 258 [] c_Relation_Osym(hAPP(c_Relation_Oconverse(A,A),B),A)| -c_Relation_Osym(B,A).
% 240.58/240.75  ** KEPT (pick-wt=17): 259 [] c_in(c_ATP__Linkup_Osko__Relation__XImage__iff__1__1(A,B,C,D,E),A,D)| -c_in(B,c_Relation_OImage(C,A,D,E),E).
% 240.58/240.75  ** KEPT (pick-wt=16): 260 [] c_Wellfounded_Owf(hAPP(c_Relation_Oconverse(A,A),c_Transitive__Closure_Otrancl(B,A)),A)| -c_Wellfounded_Owf(hAPP(c_Relation_Oconverse(A,A),B),A).
% 240.58/240.75  ** KEPT (pick-wt=12): 261 [] c_Relation_Orefl__on(A,B,C)| -c_Relation_Orefl__on(A,hAPP(c_Relation_Oconverse(C,C),B),C).
% 240.58/240.75  ** KEPT (pick-wt=12): 262 [] c_Relation_Orefl__on(A,hAPP(c_Relation_Oconverse(B,B),C),B)| -c_Relation_Orefl__on(A,C,B).
% 240.58/240.75  ** KEPT (pick-wt=8): 263 [] c_Relation_Osym(c_Transitive__Closure_Ortrancl(A,B),B)| -c_Relation_Osym(A,B).
% 240.58/240.75  ** KEPT (pick-wt=11): 264 [] c_Wellfounded_Owf(c_Relation_Orel__comp(A,A,B,B,B),B)| -c_Wellfounded_Owf(A,B).
% 240.58/240.75  ** KEPT (pick-wt=11): 265 [] c_Wellfounded_Owf(A,B)| -c_Wellfounded_Owf(c_Relation_Orel__comp(A,A,B,B,B),B).
% 240.58/240.75  ** KEPT (pick-wt=10): 266 [] hAPP(c_Relation_Oconverse(A,A),B)=B| -c_Relation_Osym(B,A).
% 240.58/240.75  ** KEPT (pick-wt=10): 267 [] hAPP(c_Relation_Oconverse(A,A),B)!=B|c_Relation_Osym(B,A).
% 240.58/240.75  ** KEPT (pick-wt=10): 268 [] c_Wellfounded_Owf(c_Relation_Oinv__image(A,B,C,D),D)| -c_Wellfounded_Owf(A,C).
% 240.58/240.75  ** KEPT (pick-wt=10): 269 [] c_Relation_Osym(c_Relation_Oinv__image(A,B,C,D),D)| -c_Relation_Osym(A,C).
% 240.58/240.75  ** KEPT (pick-wt=10): 270 [] c_Relation_Otrans(A,B)| -c_Relation_Otrans(hAPP(c_Relation_Oconverse(B,B),A),B).
% 240.58/240.75  ** KEPT (pick-wt=10): 271 [] c_Relation_Otrans(hAPP(c_Relation_Oconverse(A,A),B),A)| -c_Relation_Otrans(B,A).
% 240.58/240.75  ** KEPT (pick-wt=8): 272 [] c_Wellfounded_Owf(c_Transitive__Closure_Otrancl(A,B),B)| -c_Wellfounded_Owf(A,B).
% 240.58/240.75  ** KEPT (pick-wt=10): 273 [] c_Relation_Otrans(c_Relation_Oinv__image(A,B,C,D),D)| -c_Relation_Otrans(A,C).
% 240.58/240.75  ** KEPT (pick-wt=19): 274 [] c_Relation_Orel__comp(hAPP(c_Relation_Oconverse(A,A),B),B,A,A,A)!=B|c_Equiv__Relations_Oe_quiv(c_Relation_ODomain(B,A,A),B,A).
% 240.58/240.75  ** KEPT (pick-wt=14): 275 [] c_in(c_ATP__Linkup_Osko__Wellfounded__Xwf__e_q__minimal__1__1(A,B,C),A,C)| -c_in(D,A,C)| -c_Wellfounded_Owf(B,C).
% 240.58/240.75  ** KEPT (pick-wt=17): 276 [] 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).
% 240.58/240.75  ** KEPT (pick-wt=16): 277 [] c_Relation_Orel__comp(hAPP(c_Relation_Oconverse(A,A),B),B,A,A,A)=B| -c_Equiv__Relations_Oe_quiv(C,B,A).
% 240.58/240.75  ** KEPT (pick-wt=10): 278 [] c_Relation_Oantisym(A,B)| -c_Relation_Oantisym(hAPP(c_Relation_Oconverse(B,B),A),B).
% 240.58/240.75  ** KEPT (pick-wt=10): 279 [] c_Relation_Oantisym(hAPP(c_Relation_Oconverse(A,A),B),A)| -c_Relation_Oantisym(B,A).
% 240.58/240.75  ** KEPT (pick-wt=16): 280 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(A,v_sko__Wellfounded__Xacc__Xinduct__1(A,C)))| -c_in(B,c_Wellfounded_Oacc(C,t_a),t_a).
% 240.58/240.75  ** KEPT (pick-wt=8): 281 [] c_Relation_Orefl__on(A,B,C)| -c_Equiv__Relations_Oe_quiv(A,B,C).
% 240.58/240.75  ** KEPT (pick-wt=14): 282 [] c_in(c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1(A,B,C),A,C)| -c_in(D,A,C)| -c_Wellfounded_Owf(B,C).
% 240.58/240.75  ** KEPT (pick-wt=7): 283 [] c_Relation_Osym(A,B)| -c_Equiv__Relations_Oe_quiv(C,A,B).
% 240.58/240.75  ** KEPT (pick-wt=15): 284 [] c_in(A,c_Wellfounded_Oacc(B,C),C)| -c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1(B,A,C),c_Wellfounded_Oacc(B,C),C).
% 240.58/240.75  ** KEPT (pick-wt=22): 285 [] c_Equiv__Relations_Ocongruent(A,hAPP(B,C),D,E)| -c_in(C,F,G)| -c_Equiv__Relations_Ocongruent2(H,A,B,G,D,E)| -c_Equiv__Relations_Oe_quiv(F,H,G).
% 240.58/240.75  ** KEPT (pick-wt=12): 286 [] c_Relation_Ototal__on(A,B,C)| -c_Relation_Ototal__on(A,hAPP(c_Relation_Oconverse(C,C),B),C).
% 240.58/240.75  ** KEPT (pick-wt=12): 287 [] c_Relation_Ototal__on(A,hAPP(c_Relation_Oconverse(B,B),C),B)| -c_Relation_Ototal__on(A,C,B).
% 240.58/240.75  ** KEPT (pick-wt=7): 288 [] c_Relation_Otrans(A,B)| -c_Equiv__Relations_Oe_quiv(C,A,B).
% 240.58/240.75  ** KEPT (pick-wt=19): 289 [] hBOOL(hAPP(A,B))|c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(A,C,D),c_Wellfounded_Oacc(C,D),D)| -c_in(B,c_Wellfounded_Oacc(C,D),D).
% 240.58/240.75  ** KEPT (pick-wt=26): 290 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(A,C))| -c_in(c_Pair(C,v_sko__Wellfounded__Xacc__Xinduct__1(A,D),t_a,t_a),D,tc_prod(t_a,t_a))| -c_in(B,c_Wellfounded_Oacc(D,t_a),t_a).
% 240.58/240.75  ** KEPT (pick-wt=20): 292 [copy,291,factor_simp] -c_in(A,B,C)| -c_in(c_Pair(A,c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1(B,D,C),C,C),D,tc_prod(C,C))| -c_Wellfounded_Owf(D,C).
% 240.58/240.75  ** KEPT (pick-wt=21): 293 [] c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XRangeE__1__1(A,B,C,D),A,D,C),B,tc_prod(D,C))| -c_in(A,c_Relation_ORange(B,D,C),C).
% 240.58/240.75  ** KEPT (pick-wt=24): 294 [] c_in(A,c_Wellfounded_Oacc(B,C),C)| -c_in(D,c_Wellfounded_Oacc(B,C),C)| -c_in(c_Pair(A,D,C,C),c_Transitive__Closure_Ortrancl(B,C),tc_prod(C,C)).
% 240.58/240.75    Following clause subsumed by 294 during input processing: 0 [] c_in(A,c_Wellfounded_Oacc(B,C),C)| -c_in(c_Pair(A,D,C,C),c_Transitive__Closure_Ortrancl(B,C),tc_prod(C,C))| -c_in(D,c_Wellfounded_Oacc(B,C),C).
% 240.58/240.75  ** KEPT (pick-wt=28): 295 [] hBOOL(hAPP(A,B))|c_in(C,c_Wellfounded_Oacc(D,t_a),t_a)| -c_in(c_Pair(C,v_sko__Wellfounded__Xacc__Xinducts__1(A,D),t_a,t_a),D,tc_prod(t_a,t_a))| -c_in(B,c_Wellfounded_Oacc(D,t_a),t_a).
% 240.58/240.75  ** KEPT (pick-wt=26): 296 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(A,C))| -c_in(c_Pair(C,v_sko__Wellfounded__Xacc__Xinducts__1(A,D),t_a,t_a),D,tc_prod(t_a,t_a))| -c_in(B,c_Wellfounded_Oacc(D,t_a),t_a).
% 240.58/240.75  ** KEPT (pick-wt=28): 297 [] c_in(hAPP(hAPP(A,B),C),c_Set_Oimage(c_split(A,D,E,F),G,tc_prod(D,E),F),F)| -c_in(c_Pair(B,C,D,E),G,tc_prod(D,E)).
% 240.58/240.75  ** KEPT (pick-wt=21): 298 [] c_in(c_Pair(A,c_ATP__Linkup_Osko__Relation__XDomainE__1__1(A,B,C,D),C,D),B,tc_prod(C,D))| -c_in(A,c_Relation_ODomain(B,C,D),C).
% 240.58/240.75  ** KEPT (pick-wt=28): 299 [] hBOOL(hAPP(A,B))|c_in(C,c_Wellfounded_Oacc(D,t_a),t_a)| -c_in(c_Pair(C,v_sko__Wellfounded__Xacc__Xinduct__1(A,D),t_a,t_a),D,tc_prod(t_a,t_a))| -c_in(B,c_Wellfounded_Oacc(D,t_a),t_a).
% 240.58/240.75  ** KEPT (pick-wt=27): 300 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(A,C))| -c_in(c_Pair(C,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(A,D,E),E,E),D,tc_prod(E,E))| -c_in(B,c_Wellfounded_Oacc(D,E),E).
% 240.58/240.75  ** KEPT (pick-wt=20): 302 [copy,301,factor_simp] -c_in(A,B,C)| -c_in(c_Pair(A,c_ATP__Linkup_Osko__Wellfounded__Xwf__e_q__minimal__1__1(B,D,C),C,C),D,tc_prod(C,C))| -c_Wellfounded_Owf(D,C).
% 240.58/240.75  ** KEPT (pick-wt=21): 303 [] c_in(c_Pair(A,c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1(A,B,C,D),C,D),B,tc_prod(C,D))| -c_in(A,c_Relation_ODomain(B,C,D),C).
% 240.58/240.75  ** KEPT (pick-wt=23): 304 [] c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XImage__iff__1__1(A,B,C,D,E),B,D,E),C,tc_prod(D,E))| -c_in(B,c_Relation_OImage(C,A,D,E),E).
% 240.58/240.75  ** KEPT (pick-wt=22): 305 [] A=B| -c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Ortrancl(D,C),tc_prod(C,C))|c_in(A,c_Relation_ODomain(D,C,C),C).
% 240.58/240.75  ** KEPT (pick-wt=21): 306 [] c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XRange__iff__1__1(A,B,C,D),A,D,C),B,tc_prod(D,C))| -c_in(A,c_Relation_ORange(B,D,C),C).
% 240.58/240.75  ** KEPT (pick-wt=24): 307 [] c_in(A,hAPP(c_split(B,C,D,tc_fun(E,tc_bool)),c_Pair(F,G,C,D)),E)| -c_in(A,hAPP(hAPP(B,F),G),E).
% 240.58/240.75  ** KEPT (pick-wt=38): 308 [] hAPP(hAPP(A,B),C)=hAPP(hAPP(A,D),E)| -c_in(c_Pair(C,E,F,F),G,tc_prod(F,F))| -c_in(c_Pair(B,D,H,H),I,tc_prod(H,H))| -c_Equiv__Relations_Ocongruent2(I,G,A,H,F,J).
% 240.58/240.75  ** KEPT (pick-wt=27): 309 [] A=B| -c_in(c_Pair(C,B,D,E),F,tc_prod(D,E))| -c_in(c_Pair(C,A,D,E),F,tc_prod(D,E))| -c_Relation_Osingle__valued(F,D,E).
% 240.58/240.75  ** KEPT (pick-wt=22): 310 [] hAPP(c_Recdef_Ocut(A,B,C,D,E),F)=hAPP(A,F)| -c_in(c_Pair(F,C,D,D),B,tc_prod(D,D)).
% 240.58/240.75    Following clause subsumed by 310 during input processing: 0 [] hAPP(c_Recdef_Ocut(A,B,C,D,E),F)=hAPP(A,F)| -c_in(c_Pair(F,C,D,D),B,tc_prod(D,D)).
% 240.58/240.75  ** KEPT (pick-wt=16): 311 [] c_FunDef_Oin__rel(A,B,C,D,E)| -c_in(c_Pair(B,C,D,E),A,tc_prod(D,E)).
% 240.58/240.75  ** KEPT (pick-wt=16): 312 [] c_in(c_Pair(A,B,C,D),E,tc_prod(C,D))| -c_FunDef_Oin__rel(E,A,B,C,D).
% 240.58/240.75  ** KEPT (pick-wt=33): 313 [] c_in(c_Pair(A,B,C,C),D,tc_prod(C,C))| -c_in(c_Pair(E,B,C,C),D,tc_prod(C,C))| -c_in(c_Pair(A,E,C,C),D,tc_prod(C,C))| -c_Relation_Otrans(D,C).
% 240.58/240.75    Following clause subsumed by 313 during input processing: 0 [] c_in(c_Pair(A,B,C,C),D,tc_prod(C,C))| -c_in(c_Pair(E,B,C,C),D,tc_prod(C,C))| -c_in(c_Pair(A,E,C,C),D,tc_prod(C,C))| -c_Relation_Otrans(D,C).
% 240.58/240.75  ** KEPT (pick-wt=24): 314 [] c_in(c_Pair(A,B,C,D),hAPP(c_Relation_Oconverse(D,C),E),tc_prod(C,D))| -c_in(c_Pair(B,A,D,C),E,tc_prod(D,C)).
% 240.58/240.75    Following clause subsumed by 314 during input processing: 0 [] c_in(c_Pair(A,B,C,D),hAPP(c_Relation_Oconverse(D,C),E),tc_prod(C,D))| -c_in(c_Pair(B,A,D,C),E,tc_prod(D,C)).
% 240.58/240.75  ** KEPT (pick-wt=24): 315 [] c_in(c_Pair(A,B,C,D),E,tc_prod(C,D))| -c_in(c_Pair(B,A,D,C),hAPP(c_Relation_Oconverse(C,D),E),tc_prod(D,C)).
% 240.58/240.75  ** KEPT (pick-wt=13): 316 [] -c_in(c_Pair(A,A,B,B),C,tc_prod(B,B))| -c_Relation_Oirrefl(C,B).
% 240.58/240.75  ** KEPT (pick-wt=34): 317 [] c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Otrancl(D,C),tc_prod(C,C))| -c_in(c_Pair(E,B,C,C),D,tc_prod(C,C))| -c_in(c_Pair(A,E,C,C),c_Transitive__Closure_Otrancl(D,C),tc_prod(C,C)).
% 240.58/240.75  ** KEPT (pick-wt=34): 318 [] c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Otrancl(D,C),tc_prod(C,C))| -c_in(c_Pair(E,B,C,C),c_Transitive__Closure_Otrancl(D,C),tc_prod(C,C))| -c_in(c_Pair(A,E,C,C),D,tc_prod(C,C)).
% 240.58/240.75  ** KEPT (pick-wt=34): 319 [] c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Ortrancl(D,C),tc_prod(C,C))| -c_in(c_Pair(E,B,C,C),D,tc_prod(C,C))| -c_in(c_Pair(A,E,C,C),c_Transitive__Closure_Ortrancl(D,C),tc_prod(C,C)).
% 240.58/240.75  ** KEPT (pick-wt=34): 320 [] c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Ortrancl(D,C),tc_prod(C,C))| -c_in(c_Pair(E,B,C,C),c_Transitive__Closure_Ortrancl(D,C),tc_prod(C,C))| -c_in(c_Pair(A,E,C,C),D,tc_prod(C,C)).
% 240.58/240.75    Following clause subsumed by 237 during input processing: 0 [] c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Otrancl(D,C),tc_prod(C,C))| -c_in(c_Pair(A,B,C,C),D,tc_prod(C,C)).
% 240.58/240.75  ** KEPT (pick-wt=36): 321 [] c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Ortrancl(D,C),tc_prod(C,C))| -c_in(c_Pair(E,B,C,C),c_Transitive__Closure_Ortrancl(D,C),tc_prod(C,C))| -c_in(c_Pair(A,E,C,C),c_Transitive__Closure_Ortrancl(D,C),tc_prod(C,C)).
% 240.58/240.75  ** KEPT (pick-wt=23): 322 [] -c_in(c_Pair(A,B,C,C),D,tc_prod(C,C))| -c_in(c_Pair(B,A,C,C),D,tc_prod(C,C))| -c_Wellfounded_Owf(D,C).
% 240.58/240.75  ** KEPT (pick-wt=26): 323 [] A=B| -c_in(c_Pair(B,A,C,C),D,tc_prod(C,C))| -c_in(c_Pair(A,B,C,C),D,tc_prod(C,C))| -c_Relation_Oantisym(D,C).
% 240.58/240.75    Following clause subsumed by 323 during input processing: 0 [] A=B| -c_in(c_Pair(B,A,C,C),D,tc_prod(C,C))| -c_in(c_Pair(A,B,C,C),D,tc_prod(C,C))| -c_Relation_Oantisym(D,C).
% 240.58/240.75  ** KEPT (pick-wt=22): 324 [] hAPP(A,B)=hAPP(A,C)| -c_in(c_Pair(B,C,D,D),E,tc_prod(D,D))| -c_Equiv__Relations_Ocongruent(E,A,D,F).
% 240.58/240.75  ** KEPT (pick-wt=15): 325 [] A=B| -c_in(c_Pair(A,B,C,C),c_Relation_OId__on(D,C),tc_prod(C,C)).
% 240.58/240.75  ** KEPT (pick-wt=30): 326 [] c_Recdef_Ocut(A,B,C,D,E)!=c_Recdef_Ocut(F,B,C,D,E)|hAPP(A,G)=hAPP(F,G)| -c_in(c_Pair(G,C,D,D),B,tc_prod(D,D)).
% 240.58/240.75  ** KEPT (pick-wt=14): 327 [] A=B| -c_in(c_Pair(A,B,C,C),c_Relation_OId(C),tc_prod(C,C)).
% 240.58/240.75  ** KEPT (pick-wt=13): 328 [] c_in(c_Pair(A,A,B,B),C,tc_prod(B,B))| -c_Nitpick_Orefl_H(C,B).
% 240.58/240.75  ** KEPT (pick-wt=13): 329 [] -c_in(c_Pair(A,A,B,B),C,tc_prod(B,B))| -c_Wellfounded_Owf(C,B).
% 240.58/240.75  ** KEPT (pick-wt=28): 330 [] c_in(c_Pair(A,B,C,C),c_Relation_Oinv__image(D,E,F,C),tc_prod(C,C))| -c_in(c_Pair(hAPP(E,A),hAPP(E,B),F,F),D,tc_prod(F,F)).
% 240.58/240.75  ** KEPT (pick-wt=28): 331 [] c_in(c_Pair(hAPP(A,B),hAPP(A,C),D,D),E,tc_prod(D,D))| -c_in(c_Pair(B,C,F,F),c_Relation_Oinv__image(E,A,D,F),tc_prod(F,F)).
% 240.58/240.75  ** KEPT (pick-wt=23): 332 [] c_in(c_Pair(A,B,C,C),D,tc_prod(C,C))| -c_in(c_Pair(B,A,C,C),D,tc_prod(C,C))| -c_Relation_Osym(D,C).
% 240.58/240.75    Following clause subsumed by 332 during input processing: 0 [] c_in(c_Pair(A,B,C,C),D,tc_prod(C,C))| -c_in(c_Pair(B,A,C,C),D,tc_prod(C,C))| -c_Relation_Osym(D,C).
% 240.58/240.75  ** KEPT (pick-wt=35): 333 [] c_in(c_Pair(A,B,C,D),c_Relation_Orel__comp(E,F,C,G,D),tc_prod(C,D))| -c_in(c_Pair(H,B,G,D),F,tc_prod(G,D))| -c_in(c_Pair(A,H,C,G),E,tc_prod(C,G)).
% 240.58/240.75  ** KEPT (pick-wt=32): 334 [] c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Otrancl(D,C),tc_prod(C,C))| -c_in(c_Pair(E,B,C,C),D,tc_prod(C,C))| -c_in(c_Pair(A,E,C,C),D,tc_prod(C,C)).
% 240.58/240.75  ** KEPT (pick-wt=36): 335 [] c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Otrancl(D,C),tc_prod(C,C))| -c_in(c_Pair(E,B,C,C),c_Transitive__Closure_Otrancl(D,C),tc_prod(C,C))| -c_in(c_Pair(A,E,C,C),c_Transitive__Closure_Otrancl(D,C),tc_prod(C,C)).
% 240.58/240.75  ** KEPT (pick-wt=28): 336 [] c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(C,D),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|A=B|A=D.
% 240.58/240.75  ** KEPT (pick-wt=28): 337 [] c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(C,D),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|B=D|A=D.
% 240.58/240.75  ** KEPT (pick-wt=12): 338 [] -c_in(c_Pair(A,A,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(B,A),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 240.58/240.75  ** KEPT (pick-wt=12): 339 [] -c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(C,A),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 240.58/240.75  ** KEPT (pick-wt=25): 340 [] c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|B=D| -c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(C,D),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 240.58/240.75  ** KEPT (pick-wt=12): 341 [] -c_in(c_Pair(A,A,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(B,A),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 240.58/240.75  ** KEPT (pick-wt=12): 342 [] -c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(C,B),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 240.58/240.75  ** KEPT (pick-wt=28): 343 [] c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(C,D),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|A=B|B=D.
% 240.58/240.75  ** KEPT (pick-wt=28): 344 [] c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(C,D),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|A=D|B=D.
% 240.58/240.75  ** KEPT (pick-wt=25): 345 [] c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|A=D| -c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(C,D),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 240.58/240.75  ** KEPT (pick-wt=24): 346 [] c_in(c_Pair(A,B,C,D),c_Product__Type_OSigma(E,F,C,D),tc_prod(C,D))| -c_in(B,hAPP(F,A),D)| -c_in(A,E,C).
% 240.58/240.75    Following clause subsumed by 346 during input processing: 0 [] c_in(c_Pair(A,B,C,D),c_Product__Type_OSigma(E,F,C,D),tc_prod(C,D))| -c_in(B,hAPP(F,A),D)| -c_in(A,E,C).
% 240.58/240.75  ** KEPT (pick-wt=22): 347 [] c_in(A,c_Wellfounded_Oacc(B,C),C)| -c_in(c_Pair(A,D,C,C),B,tc_prod(C,C))| -c_in(D,c_Wellfounded_Oacc(B,C),C).
% 240.58/240.75    Following clause subsumed by 347 during input processing: 0 [] c_in(A,c_Wellfounded_Oacc(B,C),C)| -c_in(c_Pair(A,D,C,C),B,tc_prod(C,C))| -c_in(D,c_Wellfounded_Oacc(B,C),C).
% 240.58/240.75  ** KEPT (pick-wt=22): 348 [] c_in(A,c_Relation_OImage(B,C,D,E),E)| -c_in(c_Pair(F,A,D,E),B,tc_prod(D,E))| -c_in(F,C,D).
% 240.58/240.75    Following clause subsumed by 348 during input processing: 0 [] c_in(A,c_Relation_OImage(B,C,D,E),E)| -c_in(c_Pair(F,A,D,E),B,tc_prod(D,E))| -c_in(F,C,D).
% 240.58/240.75  ** KEPT (pick-wt=16): 349 [] c_in(A,B,C)| -c_in(c_Pair(A,D,C,C),c_Relation_OId__on(B,C),tc_prod(C,C)).
% 240.58/240.75  ** KEPT (pick-wt=16): 350 [] c_in(c_Pair(A,A,B,B),c_Relation_OId__on(C,B),tc_prod(B,B))| -c_in(A,C,B).
% 240.58/240.75  ** KEPT (pick-wt=18): 351 [] c_in(A,B,C)| -c_in(c_Pair(D,A,C,C),E,tc_prod(C,C))| -c_Equiv__Relations_Oe_quiv(B,E,C).
% 240.58/240.75  ** KEPT (pick-wt=18): 352 [] c_in(A,B,C)| -c_in(c_Pair(A,D,C,C),E,tc_prod(C,C))| -c_Equiv__Relations_Oe_quiv(B,E,C).
% 240.58/240.75  ** KEPT (pick-wt=17): 353 [] c_in(A,c_Relation_ORange(B,C,D),D)| -c_in(c_Pair(E,A,C,D),B,tc_prod(C,D)).
% 240.58/240.75    Following clause subsumed by 353 during input processing: 0 [] c_in(A,c_Relation_ORange(B,C,D),D)| -c_in(c_Pair(E,A,C,D),B,tc_prod(C,D)).
% 240.58/240.75  ** KEPT (pick-wt=17): 354 [] c_in(A,c_Relation_ODomain(B,C,D),C)| -c_in(c_Pair(A,E,C,D),B,tc_prod(C,D)).
% 240.58/240.75    Following clause subsumed by 354 during input processing: 0 [] c_in(A,c_Relation_ODomain(B,C,D),C)| -c_in(c_Pair(A,E,C,D),B,tc_prod(C,D)).
% 240.58/240.75  ** KEPT (pick-wt=20): 355 [] c_in(A,hAPP(B,C),D)| -c_in(c_Pair(C,A,E,D),c_Product__Type_OSigma(F,B,E,D),tc_prod(E,D)).
% 240.58/240.75  ** KEPT (pick-wt=18): 356 [] c_in(A,B,C)| -c_in(c_Pair(A,D,C,E),c_Product__Type_OSigma(B,F,C,E),tc_prod(C,E)).
% 240.58/240.75  ** KEPT (pick-wt=35): 357 [] c_in(c_Pair(A,B,C,C),D,tc_prod(C,C))|c_in(c_Pair(B,A,C,C),D,tc_prod(C,C))|B=A| -c_in(A,E,C)| -c_in(B,E,C)| -c_Relation_Ototal__on(E,D,C).
% 240.58/240.75  ** KEPT (pick-wt=18): 358 [] c_in(c_Pair(A,A,B,B),C,tc_prod(B,B))| -c_in(A,D,B)| -c_Relation_Orefl__on(D,C,B).
% 240.58/240.75  ** KEPT (pick-wt=18): 359 [] c_in(A,B,C)| -c_in(c_Pair(D,A,C,C),E,tc_prod(C,C))| -c_Relation_Orefl__on(B,E,C).
% 240.58/240.75  ** KEPT (pick-wt=18): 360 [] c_in(A,B,C)| -c_in(c_Pair(A,D,C,C),E,tc_prod(C,C))| -c_Relation_Orefl__on(B,E,C).
% 240.58/240.75    Following clause subsumed by 358 during input processing: 0 [] c_in(c_Pair(A,A,B,B),C,tc_prod(B,B))| -c_in(A,D,B)| -c_Relation_Orefl__on(D,C,B).
% 240.58/240.75  ** KEPT (pick-wt=3): 362 [copy,361,flip.1] v_b____!=v_a____.
% 240.58/240.75  ** KEPT (pick-wt=14): 363 [] c_Pair(A,B,C,D)!=c_Pair(E,F,C,D)|B=F.
% 240.58/240.75  ** KEPT (pick-wt=14): 364 [] c_Pair(A,B,C,D)!=c_Pair(E,F,C,D)|A=E.
% 240.58/240.75  ** KEPT (pick-wt=24): 365 [] c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,A),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,A),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 240.58/240.75  ** KEPT (pick-wt=24): 366 [] c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,A),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,A),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 240.58/240.75  ** KEPT (pick-wt=3): 368 [copy,367,flip.1] v_c____!=v_b____.
% 240.58/240.75  ** KEPT (pick-wt=8): 369 [] c_in(A,B,C)| -hBOOL(hAPP(B,A)).
% 240.58/240.75  ** KEPT (pick-wt=8): 370 [] hBOOL(hAPP(A,B))| -c_in(B,A,C).
% 240.58/240.75  ** KEPT (pick-wt=3): 372 [copy,371,flip.1] v_c____!=v_a____.
% 240.58/240.75  ** KEPT (pick-wt=37): 373 [] c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 240.58/240.75  ** KEPT (pick-wt=37): 374 [] c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 240.58/240.75  ** KEPT (pick-wt=37): 375 [] c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 240.58/240.75  ** KEPT (pick-wt=37): 376 [] c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 240.58/240.75  ** KEPT (pick-wt=22): 377 [] -c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 240.58/240.75  ** KEPT (pick-wt=6): 378 [] class_Lattices_Oupper__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 240.58/240.75  ** KEPT (pick-wt=6): 379 [] class_Lattices_Olower__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 240.58/240.75  ** KEPT (pick-wt=6): 380 [] class_Lattices_Odistrib__lattice(tc_fun(A,B))| -class_Lattices_Odistrib__lattice(B).
% 240.58/240.75  ** KEPT (pick-wt=6): 381 [] class_Lattices_Obounded__lattice(tc_fun(A,B))| -class_Lattices_Obounded__lattice(B).
% 240.58/240.75  ** KEPT (pick-wt=6): 382 [] class_Orderings_Opreorder(tc_fun(A,B))| -class_Orderings_Opreorder(B).
% 240.58/240.75  ** KEPT (pick-wt=6): 383 [] class_Lattices_Olattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 240.58/240.75  ** KEPT (pick-wt=6): 384 [] class_Orderings_Oorder(tc_fun(A,B))| -class_Orderings_Oorder(B).
% 240.58/240.75  ** KEPT (pick-wt=6): 385 [] class_Orderings_Obot(tc_fun(A,B))| -class_Orderings_Obot(B).
% 240.58/240.75  ** KEPT (pick-wt=6): 386 [] class_HOL_Oord(tc_fun(A,B))| -class_HOL_Oord(B).
% 240.58/240.75  ** KEPT (pick-wt=7): 387 [] A=B| -c_fe_qual(A,B,C).
% 240.58/240.75    Following clause subsumed by 116 during input processing: 0 [copy,18,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 240.58/240.75    Following clause subsumed by 18 during input processing: 0 [copy,116,flip.1] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 240.58/240.75  218 back subsumes 71.
% 240.58/240.75  245 back subsumes 240.
% 240.58/240.75  339 back subsumes 338.
% 240.58/240.75  342 back subsumes 341.
% 240.58/240.75  
% 240.58/240.75  ------------> process sos:
% 240.58/240.75  ** KEPT (pick-wt=3): 434 [] A=A.
% 240.58/240.75  ** KEPT (pick-wt=23): 435 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 240.58/240.75  ---> New Demodulator: 436 [new_demod,435] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 240.58/240.75  ** KEPT (pick-wt=23): 437 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 240.58/240.75  ** KEPT (pick-wt=28): 438 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(A,B,C,D),c_Set_Oimage(A,E,C,D),tc_fun(D,tc_bool)),c_Set_Oimage(A,c_HOL_Ominus__class_Ominus(B,E,tc_fun(C,tc_bool)),C,D),tc_fun(D,tc_bool)).
% 240.58/240.75  ** KEPT (pick-wt=13): 439 [] c_Set_Oimage(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B,C)=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 240.58/240.75  ** KEPT (pick-wt=21): 440 [] c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)=c_Set_Oinsert(B,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C).
% 240.58/240.75  ** KEPT (pick-wt=18): 441 [] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)).
% 240.58/240.75  ---> New Demodulator: 442 [new_demod,441] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)).
% 240.58/240.75  ** KEPT (pick-wt=8): 443 [] hAPP(c_COMBK(A,B,C),D)=A.
% 240.58/240.75  ---> New Demodulator: 444 [new_demod,443] hAPP(c_COMBK(A,B,C),D)=A.
% 240.58/240.75  ** KEPT (pick-wt=25): 445 [] c_Relation_OImage(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D,E)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OImage(A,B,D,E),c_Relation_OImage(A,C,D,E),tc_fun(E,tc_bool)).
% 240.58/240.75  ** KEPT (pick-wt=27): 446 [] 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)).
% 240.58/240.75  ** KEPT (pick-wt=8): 447 [] c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_fun(B,tc_bool))=A.
% 240.58/240.75  ---> New Demodulator: 448 [new_demod,447] c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_fun(B,tc_bool))=A.
% 240.58/240.75  ** KEPT (pick-wt=28): 450 [copy,449,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(A,D,tc_fun(C,tc_bool)),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)).
% 240.58/240.75  ---> New Demodulator: 451 [new_demod,450] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(A,D,tc_fun(C,tc_bool)),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)).
% 240.58/240.75  ** KEPT (pick-wt=28): 453 [copy,452,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(D,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(A,D,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)).
% 240.58/240.75  ---> New Demodulator: 454 [new_demod,453] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(D,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(A,D,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)).
% 240.58/240.75  ** KEPT (pick-wt=27): 455 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(c_Relation_ODomain(A,B,C),c_Relation_ODomain(D,B,C),tc_fun(B,tc_bool)),c_Relation_ODomain(c_HOL_Ominus__class_Ominus(A,D,tc_fun(tc_prod(B,C),tc_bool)),B,C),tc_fun(B,tc_bool)).
% 240.58/240.75  ** KEPT (pick-wt=27): 457 [copy,456,flip.1] c_Lattices_Olower__semilattice__class_Oinf(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_Olower__semilattice__class_Oinf(A,E,tc_fun(C,tc_bool)),B,C,D).
% 240.58/240.75  ---> New Demodulator: 458 [new_demod,457] c_Lattices_Olower__semilattice__class_Oinf(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_Olower__semilattice__class_Oinf(A,E,tc_fun(C,tc_bool)),B,C,D).
% 240.58/240.75  ** KEPT (pick-wt=27): 459 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(c_Relation_ORange(A,B,C),c_Relation_ORange(D,B,C),tc_fun(C,tc_bool)),c_Relation_ORange(c_HOL_Ominus__class_Ominus(A,D,tc_fun(tc_prod(B,C),tc_bool)),B,C),tc_fun(C,tc_bool)).
% 240.58/240.75  ** KEPT (pick-wt=28): 460 [] 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)).
% 240.58/240.75  ** KEPT (pick-wt=19): 462 [copy,461,flip.1] c_Set_Oinsert(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,B,D),C,tc_fun(D,tc_bool)).
% 240.58/240.75  ---> New Demodulator: 463 [new_demod,462] c_Set_Oinsert(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,B,D),C,tc_fun(D,tc_bool)).
% 240.58/240.75  ** KEPT (pick-wt=19): 465 [copy,464,demod,463] c_Lattices_Oupper__semilattice__class_Osup(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(B,A,D),C,tc_fun(D,tc_bool)).
% 240.58/240.75  ** KEPT (pick-wt=9): 466 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool)).
% 240.58/240.75  ** KEPT (pick-wt=27): 467 [] c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,C,tc_fun(D,tc_bool)),c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)).
% 240.58/240.75  ** KEPT (pick-wt=27): 468 [] c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)).
% 240.58/240.75  ** KEPT (pick-wt=22): 470 [copy,469,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_Set_Oinsert(A,C,D),tc_fun(D,tc_bool)).
% 240.58/240.75  ---> New Demodulator: 471 [new_demod,470] 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_Set_Oinsert(A,C,D),tc_fun(D,tc_bool)).
% 240.58/240.75  ** KEPT (pick-wt=13): 472 [] c_Relation_OImage(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B,C)=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 240.58/240.75  ** KEPT (pick-wt=27): 473 [] 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)).
% 240.58/240.75  ** KEPT (pick-wt=14): 474 [] c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 240.58/240.75  ---> New Demodulator: 475 [new_demod,474] c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 240.58/240.75  ** KEPT (pick-wt=14): 476 [] c_Lattices_Olower__semilattice__class_Oinf(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 240.58/240.75  ---> New Demodulator: 477 [new_demod,476] c_Lattices_Olower__semilattice__class_Oinf(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 240.58/240.75  ** KEPT (pick-wt=28): 478 [] 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)).
% 240.58/240.75  ** KEPT (pick-wt=28): 479 [] 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)).
% 240.58/240.75  ** KEPT (pick-wt=27): 481 [copy,480,flip.1] c_HOL_Ominus__class_Ominus(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_HOL_Ominus__class_Ominus(A,E,tc_fun(C,tc_bool)),B,C,D).
% 240.58/240.75  ---> New Demodulator: 482 [new_demod,481] c_HOL_Ominus__class_Ominus(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_HOL_Ominus__class_Ominus(A,E,tc_fun(C,tc_bool)),B,C,D).
% 240.58/240.75  ** KEPT (pick-wt=11): 483 [] c_HOL_Ominus__class_Ominus(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 240.58/240.75  ---> New Demodulator: 484 [new_demod,483] c_HOL_Ominus__class_Ominus(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 240.58/240.75  ** KEPT (pick-wt=11): 485 [] c_HOL_Ominus__class_Ominus(A,A,tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 240.58/240.75    Following clause subsumed by 434 during input processing: 0 [demod,458] c_Product__Type_OSigma(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_COMBK(D,tc_fun(E,tc_bool),C),C,E)=c_Product__Type_OSigma(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_COMBK(D,tc_fun(E,tc_bool),C),C,E).
% 240.58/240.75  ** KEPT (pick-wt=23): 486 [] c_Lattices_Olower__semilattice__class_Oinf(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_Olower__semilattice__class_Oinf(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 240.58/240.75  ---> New Demodulator: 487 [new_demod,486] c_Lattices_Olower__semilattice__class_Oinf(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_Olower__semilattice__class_Oinf(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 240.58/240.75  ** KEPT (pick-wt=23): 488 [] c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 240.58/240.75  ** KEPT (pick-wt=11): 489 [] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=B.
% 240.58/240.75  ---> New Demodulator: 490 [new_demod,489] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=B.
% 240.58/240.76  ** KEPT (pick-wt=11): 491 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 240.58/240.76  ---> New Demodulator: 492 [new_demod,491] c_Lattices_Oupper__semilattice__class_Osup(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 240.58/240.76  ** KEPT (pick-wt=14): 493 [] c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 240.58/240.76  ---> New Demodulator: 494 [new_demod,493] c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 240.58/240.76  ** KEPT (pick-wt=58): 496 [copy,495,demod,463,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(c_Pair(A,B,C,D),c_Product__Type_OSigma(E,c_COMBK(c_Set_Oinsert(B,F,D),tc_fun(D,tc_bool),C),C,D),tc_prod(C,D)),c_Product__Type_OSigma(c_Set_Oinsert(A,E,C),c_COMBK(F,tc_fun(D,tc_bool),C),C,D),tc_fun(tc_prod(C,D),tc_bool))=c_Product__Type_OSigma(c_Set_Oinsert(A,E,C),c_COMBK(c_Set_Oinsert(B,F,D),tc_fun(D,tc_bool),C),C,D).
% 240.58/240.76  ---> New Demodulator: 497 [new_demod,496] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(c_Pair(A,B,C,D),c_Product__Type_OSigma(E,c_COMBK(c_Set_Oinsert(B,F,D),tc_fun(D,tc_bool),C),C,D),tc_prod(C,D)),c_Product__Type_OSigma(c_Set_Oinsert(A,E,C),c_COMBK(F,tc_fun(D,tc_bool),C),C,D),tc_fun(tc_prod(C,D),tc_bool))=c_Product__Type_OSigma(c_Set_Oinsert(A,E,C),c_COMBK(c_Set_Oinsert(B,F,D),tc_fun(D,tc_bool),C),C,D).
% 240.58/240.76  ** KEPT (pick-wt=28): 498 [] c_Lattices_Olower__semilattice__class_Oinf(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(D,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 240.58/240.76  ---> New Demodulator: 499 [new_demod,498] c_Lattices_Olower__semilattice__class_Oinf(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(D,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 240.58/240.76  ** KEPT (pick-wt=28): 500 [] c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(A,D,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 240.58/240.76  ---> New Demodulator: 501 [new_demod,500] c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(A,D,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 240.58/240.76  ** KEPT (pick-wt=22): 502 [] c_Set_Oimage(c_COMBK(A,B,C),D,C,B)=c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)|D=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 240.58/240.76  ** KEPT (pick-wt=11): 503 [] c_lesse_quals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 240.58/240.76  ** KEPT (pick-wt=11): 504 [] c_lesse_quals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 240.58/240.76  ** KEPT (pick-wt=13): 505 [] c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(B,A,tc_fun(C,tc_bool)).
% 240.58/240.76  ** KEPT (pick-wt=11): 506 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),A,tc_fun(C,tc_bool)).
% 240.58/240.76  ** KEPT (pick-wt=20): 507 [] c_Set_Oinsert(A,c_HOL_Ominus__class_Ominus(B,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)),C)=c_Set_Oinsert(A,B,C).
% 240.58/240.76  ---> New Demodulator: 508 [new_demod,507] c_Set_Oinsert(A,c_HOL_Ominus__class_Ominus(B,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)),C)=c_Set_Oinsert(A,B,C).
% 240.58/240.76  ** KEPT (pick-wt=53): 510 [copy,509,demod,436,487] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(D,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(D,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 240.58/240.76  ---> New Demodulator: 511 [new_demod,510] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(D,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(D,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 240.58/240.76    Following clause subsumed by 439 during input processing: 0 [] c_Set_Oimage(c_COMBK(A,B,C),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C,B)=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 240.58/240.76  ** KEPT (pick-wt=27): 513 [copy,512,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).
% 240.58/240.76  ---> New Demodulator: 514 [new_demod,513] 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).
% 240.58/240.76  ** KEPT (pick-wt=29): 515 [] hAPP(c_Relation_Oconverse(A,B),c_Lattices_Olower__semilattice__class_Oinf(C,D,tc_fun(tc_prod(A,B),tc_bool)))=c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_Relation_Oconverse(A,B),C),hAPP(c_Relation_Oconverse(A,B),D),tc_fun(tc_prod(B,A),tc_bool)).
% 240.58/240.76  ** KEPT (pick-wt=20): 516 [] 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))|c_in(B,A,D).
% 240.58/240.76  ** KEPT (pick-wt=20): 517 [] 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_fun(C,tc_bool))|c_in(A,D,C).
% 240.58/240.76  ** KEPT (pick-wt=18): 518 [] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)).
% 240.58/240.76  ---> New Demodulator: 519 [new_demod,518] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)).
% 240.58/240.76  ** KEPT (pick-wt=18): 520 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_HOL_Ominus__class_Ominus(B,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)).
% 240.58/240.76  ---> New Demodulator: 521 [new_demod,520] c_Lattices_Oupper__semilattice__class_Osup(A,c_HOL_Ominus__class_Ominus(B,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)).
% 240.58/240.76  ** KEPT (pick-wt=32): 522 [] 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)).
% 240.58/240.76  ** KEPT (pick-wt=32): 523 [] 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)).
% 240.58/240.76  ** KEPT (pick-wt=28): 525 [copy,524,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),c_HOL_Ominus__class_Ominus(D,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(A,D,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)).
% 240.58/240.76  ---> New Demodulator: 526 [new_demod,525] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),c_HOL_Ominus__class_Ominus(D,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(A,D,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)).
% 240.58/240.76  ** KEPT (pick-wt=13): 527 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_fun(C,tc_bool)).
% 240.58/240.76  ** KEPT (pick-wt=24): 528 [] 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)).
% 240.58/240.76  ---> New Demodulator: 529 [new_demod,528] 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)).
% 240.58/240.76  ** KEPT (pick-wt=17): 530 [] c_Set_Oinsert(A,B,C)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),B,tc_fun(C,tc_bool)).
% 240.58/240.76  ** KEPT (pick-wt=18): 531 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)).
% 240.58/240.76  ---> New Demodulator: 532 [new_demod,531] c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)).
% 240.58/240.76  ** KEPT (pick-wt=13): 533 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Set_Oimage(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C,A).
% 240.58/240.76  ** KEPT (pick-wt=21): 535 [copy,534,demod,499] c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(A,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 240.58/240.76  ** KEPT (pick-wt=27): 536 [] 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)).
% 240.58/240.76  ** KEPT (pick-wt=25): 537 [] 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).
% 240.58/240.76  ---> New Demodulator: 538 [new_demod,537] 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).
% 240.58/240.76  ** KEPT (pick-wt=23): 540 [copy,539,flip.1] c_Set_Oinsert(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D)=c_HOL_Ominus__class_Ominus(c_Set_Oinsert(A,B,D),C,tc_fun(D,tc_bool))|c_in(A,C,D).
% 240.58/240.76  ** KEPT (pick-wt=21): 541 [] c_HOL_Ominus__class_Ominus(c_Set_Oinsert(A,B,C),c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool))=B|c_in(A,B,C).
% 240.58/240.76  ** KEPT (pick-wt=11): 542 [] c_Relation_Oirrefl(c_HOL_Ominus__class_Ominus(A,c_Relation_OId(B),tc_fun(tc_prod(B,B),tc_bool)),B).
% 240.58/240.76  ** KEPT (pick-wt=15): 543 [] 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).
% 240.58/240.76  ---> New Demodulator: 544 [new_demod,543] 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).
% 240.58/240.76  ** KEPT (pick-wt=28): 545 [] c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(D,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool)).
% 240.58/240.76  ---> New Demodulator: 546 [new_demod,545] c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(D,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool)).
% 240.58/240.76  ** KEPT (pick-wt=18): 547 [] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=A.
% 240.58/240.76  ---> New Demodulator: 548 [new_demod,547] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=A.
% 240.58/240.76    Following clause subsumed by 466 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)).
% 240.58/240.76  ** KEPT (pick-wt=7): 549 [] c_Relation_Ototal__on(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,A).
% 240.58/240.76  ** KEPT (pick-wt=29): 550 [] hAPP(c_Relation_Oconverse(A,B),c_Lattices_Oupper__semilattice__class_Osup(C,D,tc_fun(tc_prod(A,B),tc_bool)))=c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_Relation_Oconverse(A,B),C),hAPP(c_Relation_Oconverse(A,B),D),tc_fun(tc_prod(B,A),tc_bool)).
% 240.58/240.76  ** KEPT (pick-wt=11): 551 [] c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),A,tc_fun(C,tc_bool)).
% 240.58/240.76  ** KEPT (pick-wt=11): 552 [] c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)).
% 240.58/240.76    Following clause subsumed by 434 during input processing: 0 [demod,514] c_Product__Type_OSigma(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),c_COMBK(D,tc_fun(E,tc_bool),C),C,E)=c_Product__Type_OSigma(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),c_COMBK(D,tc_fun(E,tc_bool),C),C,E).
% 240.58/240.76  ** KEPT (pick-wt=28): 553 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(D,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 240.58/240.76  ---> New Demodulator: 554 [new_demod,553] c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(D,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 240.58/240.76  ** KEPT (pick-wt=28): 555 [] 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(c_Lattices_Oupper__semilattice__class_Osup(A,D,tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 240.58/240.76  ---> New Demodulator: 556 [new_demod,555] 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(c_Lattices_Oupper__semilattice__class_Osup(A,D,tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 240.58/240.76    Following clause subsumed by 434 during input processing: 0 [demod,482] c_Product__Type_OSigma(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),c_COMBK(D,tc_fun(E,tc_bool),C),C,E)=c_Product__Type_OSigma(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),c_COMBK(D,tc_fun(E,tc_bool),C),C,E).
% 240.58/240.76  ** KEPT (pick-wt=18): 557 [] c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)).
% 240.58/240.76  ---> New Demodulator: 558 [new_demod,557] c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)).
% 240.58/240.76  ** KEPT (pick-wt=24): 559 [] 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)).
% 240.58/240.76  ---> New Demodulator: 560 [new_demod,559] 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)).
% 240.58/240.76  ** KEPT (pick-wt=8): 561 [] c_Lattices_Olower__semilattice__class_Oinf(A,A,tc_fun(B,tc_bool))=A.
% 240.58/240.76  ---> New Demodulator: 562 [new_demod,561] c_Lattices_Olower__semilattice__class_Oinf(A,A,tc_fun(B,tc_bool))=A.
% 240.58/240.76  ** KEPT (pick-wt=38): 564 [copy,563,demod,499,501,562,501,546] c_HOL_Ominus__class_Ominus(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,c_Lattices_Olower__semilattice__class_Oinf(B,A,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)),c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_fun(D,tc_bool)),B,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 240.58/240.76  ** KEPT (pick-wt=28): 566 [copy,565,demod,499,flip.1] c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(A,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool)).
% 240.58/240.76  ---> New Demodulator: 567 [new_demod,566] c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(A,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool)).
% 240.58/240.76  ** KEPT (pick-wt=10): 568 [] c_in(A,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),B).
% 240.58/240.76  ** KEPT (pick-wt=28): 570 [copy,569,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),c_HOL_Ominus__class_Ominus(A,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 240.58/240.76  ---> New Demodulator: 571 [new_demod,570] c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),c_HOL_Ominus__class_Ominus(A,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 240.58/240.76    Following clause subsumed by 434 during input processing: 0 [demod,448] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 240.58/240.76  ** KEPT (pick-wt=25): 572 [] c_Set_Oimage(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D,E)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(A,B,D,E),c_Set_Oimage(A,C,D,E),tc_fun(E,tc_bool)).
% 240.58/240.76  ** KEPT (pick-wt=19): 574 [copy,573,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).
% 240.58/240.76  ---> New Demodulator: 575 [new_demod,574] 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).
% 240.58/240.76  ** KEPT (pick-wt=15): 576 [] 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).
% 240.58/240.76  ---> New Demodulator: 577 [new_demod,576] 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).
% 240.58/240.76  ** KEPT (pick-wt=15): 578 [] 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).
% 240.58/240.76  ---> New Demodulator: 579 [new_demod,578] 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).
% 240.58/240.76  ** KEPT (pick-wt=15): 580 [] c_Transitive__Closure_Ortrancl(c_HOL_Ominus__class_Ominus(A,c_Relation_OId(B),tc_fun(tc_prod(B,B),tc_bool)),B)=c_Transitive__Closure_Ortrancl(A,B).
% 240.58/240.76  ---> New Demodulator: 581 [new_demod,580] c_Transitive__Closure_Ortrancl(c_HOL_Ominus__class_Ominus(A,c_Relation_OId(B),tc_fun(tc_prod(B,B),tc_bool)),B)=c_Transitive__Closure_Ortrancl(A,B).
% 240.58/240.76  ** KEPT (pick-wt=14): 582 [] c_Relation_Osym(c_Lattices_Oupper__semilattice__class_Osup(A,hAPP(c_Relation_Oconverse(B,B),A),tc_fun(tc_prod(B,B),tc_bool)),B).
% 240.58/240.76  ** KEPT (pick-wt=14): 583 [] c_Relation_Osym(c_Lattices_Olower__semilattice__class_Oinf(A,hAPP(c_Relation_Oconverse(B,B),A),tc_fun(tc_prod(B,B),tc_bool)),B).
% 240.58/240.76  ** KEPT (pick-wt=14): 584 [] c_Relation_OImage(c_Relation_OId__on(A,B),C,B,B)=c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_fun(B,tc_bool)).
% 240.58/240.76  ** KEPT (pick-wt=15): 585 [] 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).
% 240.58/240.76  ---> New Demodulator: 586 [new_demod,585] 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).
% 240.58/240.76    Following clause subsumed by 434 during input processing: 0 [demod,544] c_Transitive__Closure_Ortrancl(A,B)=c_Transitive__Closure_Ortrancl(A,B).
% 240.58/240.76  ** KEPT (pick-wt=20): 588 [copy,587,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).
% 240.58/240.76  ---> New Demodulator: 589 [new_demod,588] 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).
% 240.58/240.76  ** KEPT (pick-wt=13): 591 [copy,590,flip.1] c_Relation_ODomain(hAPP(c_Relation_Oconverse(t_a,t_b),v_r),t_b,t_a)=c_Relation_ORange(v_r,t_a,t_b).
% 240.58/240.76  ---> New Demodulator: 592 [new_demod,591] c_Relation_ODomain(hAPP(c_Relation_Oconverse(t_a,t_b),v_r),t_b,t_a)=c_Relation_ORange(v_r,t_a,t_b).
% 240.58/240.76  ** KEPT (pick-wt=17): 593 [] c_Relation_Oirrefl(A,B)|c_in(c_Pair(c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1(A,B),c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1(A,B),B,B),A,tc_prod(B,B)).
% 240.58/240.76  ** KEPT (pick-wt=19): 594 [] c_lesse_quals(c_Relation_OId__on(A,B),c_Product__Type_OSigma(A,c_COMBK(A,tc_fun(B,tc_bool),B),B,B),tc_fun(tc_prod(B,B),tc_bool)).
% 240.58/240.76  ** KEPT (pick-wt=19): 595 [] c_in(c_Pair(c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1(A,B,C),B,C,C),A,tc_prod(C,C))|c_in(B,c_Wellfounded_Oacc(A,C),C).
% 240.58/240.76  ** KEPT (pick-wt=6): 596 [] c_lesse_quals(A,A,tc_fun(B,tc_bool)).
% 240.58/240.76    Following clause subsumed by 596 during input processing: 0 [] c_lesse_quals(A,A,tc_fun(B,tc_bool)).
% 240.58/240.76  ** KEPT (pick-wt=7): 597 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),A)).
% 240.58/240.76  ** KEPT (pick-wt=19): 599 [copy,598,flip.1] c_Set_Oinsert(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)=c_Set_Oimage(A,c_Set_Oinsert(B,C,D),D,E).
% 240.58/240.76  ---> New Demodulator: 600 [new_demod,599] c_Set_Oinsert(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)=c_Set_Oimage(A,c_Set_Oinsert(B,C,D),D,E).
% 240.58/240.76  ** KEPT (pick-wt=9): 601 [] c_lesse_quals(A,c_Set_Oinsert(B,A,C),tc_fun(C,tc_bool)).
% 240.58/240.76  ** KEPT (pick-wt=21): 602 [] c_Relation_ODomain(c_Set_Oinsert(c_Pair(A,B,C,D),E,tc_prod(C,D)),C,D)=c_Set_Oinsert(A,c_Relation_ODomain(E,C,D),C).
% 240.58/240.76  ---> New Demodulator: 603 [new_demod,602] c_Relation_ODomain(c
% 240.58/240.76  Search stopped in tp_alloc by max_mem option.
% 240.58/240.76  _Set_Oinsert(c_Pair(A,B,C,D),E,tc_prod(C,D)),C,D)=c_Set_Oinsert(A,c_Relation_ODomain(E,C,D),C).
% 240.58/240.76  ** KEPT (pick-wt=12): 604 [] c_Set_Oinsert(A,c_Set_Oinsert(A,B,C),C)=c_Set_Oinsert(A,B,C).
% 240.58/240.76  ---> New Demodulator: 605 [new_demod,604] c_Set_Oinsert(A,c_Set_Oinsert(A,B,C),C)=c_Set_Oinsert(A,B,C).
% 240.58/240.76  ** KEPT (pick-wt=15): 606 [] c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D).
% 240.58/240.76  ** KEPT (pick-wt=21): 607 [] c_Relation_ORange(c_Set_Oinsert(c_Pair(A,B,C,D),E,tc_prod(C,D)),C,D)=c_Set_Oinsert(B,c_Relation_ORange(E,C,D),D).
% 240.58/240.76  ---> New Demodulator: 608 [new_demod,607] c_Relation_ORange(c_Set_Oinsert(c_Pair(A,B,C,D),E,tc_prod(C,D)),C,D)=c_Set_Oinsert(B,c_Relation_ORange(E,C,D),D).
% 240.58/240.76  ** KEPT (pick-wt=7): 609 [] c_in(A,c_Set_Oinsert(A,B,C),C).
% 240.58/240.76    Following clause subsumed by 609 during input processing: 0 [] c_in(A,c_Set_Oinsert(A,B,C),C).
% 240.58/240.76    Following clause subsumed by 609 during input processing: 0 [] c_in(A,c_Set_Oinsert(A,B,C),C).
% 240.58/240.76  ** KEPT (pick-wt=17): 610 [] hAPP(c_split(A,B,C,D),c_Pair(E,F,B,C))=hAPP(hAPP(A,E),F).
% 240.58/240.76    Following clause subsumed by 610 during input processing: 0 [] hAPP(c_split(A,B,C,D),c_Pair(E,F,B,C))=hAPP(hAPP(A,E),F).
% 240.58/240.76  ** KEPT (pick-wt=6): 611 [] c_Relation_Osingle__valued(c_Relation_OId__on(A,B),B,B).
% 240.58/240.76  ** KEPT (pick-wt=11): 612 [] c_Relation_ODomain(c_Transitive__Closure_Otrancl(A,B),B,B)=c_Relation_ODomain(A,B,B).
% 240.58/240.76  ---> New Demodulator: 613 [new_demod,612] c_Relation_ODomain(c_Transitive__Closure_Otrancl(A,B),B,B)=c_Relation_ODomain(A,B,B).
% 240.58/240.76  ** KEPT (pick-wt=4): 614 [] c_Relation_Osym(c_Relation_OId(A),A).
% 240.58/240.76  ** KEPT (pick-wt=5): 615 [] c_Relation_Otrans(c_Relation_OId__on(A,B),B).
% 240.58/240.76  ** KEPT (pick-wt=9): 616 [] c_Relation_Orel__comp(c_Relation_OId(A),B,A,A,C)=B.
% 240.58/240.76  ---> New Demodulator: 617 [new_demod,616] c_Relation_Orel__comp(c_Relation_OId(A),B,A,A,C)=B.
% 240.58/240.76  ** KEPT (pick-wt=9): 618 [] c_Relation_Orel__comp(A,c_Relation_OId(B),C,B,B)=A.
% 240.58/240.76  ---> New Demodulator: 619 [new_demod,618] c_Relation_Orel__comp(A,c_Relation_OId(B),C,B,B)=A.
% 240.58/240.76  ** KEPT (pick-wt=5): 620 [] c_Relation_Oantisym(c_Relation_OId__on(A,B),B).
% 240.58/240.76  ** KEPT (pick-wt=8): 621 [] c_Relation_OImage(c_Relation_OId(A),B,A,A)=B.
% 240.58/240.76  ---> New Demodulator: 622 [new_demod,621] c_Relation_OImage(c_Relation_OId(A),B,A,A)=B.
% 240.58/240.76  ** KEPT (pick-wt=5): 623 [] c_Relation_Osingle__valued(c_Relation_OId(A),A,A).
% 240.58/240.76  ** KEPT (pick-wt=8): 624 [] c_Relation_ODomain(c_Relation_OId__on(A,B),B,B)=A.
% 240.58/240.76  ---> New Demodulator: 625 [new_demod,624] c_Relation_ODomain(c_Relation_OId__on(A,B),B,B)=A.
% 240.58/240.76  ** KEPT (pick-wt=11): 626 [] c_Relation_ORange(c_Transitive__Closure_Otrancl(A,B),B,B)=c_Relation_ORange(A,B,B).
% 240.58/240.76  ---> New Demodulator: 627 [new_demod,626] c_Relation_ORange(c_Transitive__Closure_Otrancl(A,B),B,B)=c_Relation_ORange(A,B,B).
% 240.58/240.76  ** KEPT (pick-wt=5): 628 [] c_Relation_Otrans(c_Transitive__Closure_Otrancl(A,B),B).
% 240.58/240.76  
% 240.58/240.76  Search stopped in tp_alloc by max_mem option.
% 240.58/240.76  
% 240.58/240.76  ============ end of search ============
% 240.58/240.76  
% 240.58/240.76  -------------- statistics -------------
% 240.58/240.76  clauses given                  0
% 240.58/240.76  clauses generated             56
% 240.58/240.76  clauses kept                 543
% 240.58/240.76  clauses forward subsumed      68
% 240.58/240.76  clauses back subsumed          4
% 240.58/240.76  Kbytes malloced            11718
% 240.58/240.76  
% 240.58/240.76  ----------- times (seconds) -----------
% 240.58/240.76  user CPU time          0.04          (0 hr, 0 min, 0 sec)
% 240.58/240.76  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 240.58/240.76  wall-clock time      240             (0 hr, 4 min, 0 sec)
% 240.58/240.76  
% 240.58/240.76  Process 30361 finished Wed Jul 27 09:08:08 2022
% 240.58/240.76  Otter interrupted
% 240.58/240.76  PROOF NOT FOUND
%------------------------------------------------------------------------------