TSTP Solution File: SCT003-1 by Otter---3.3

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SCT003-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n005.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 13:12:24 EDT 2022

% Result   : Unknown 116.95s 117.01s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : SCT003-1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.13  % Command  : otter-tptp-script %s
% 0.13/0.34  % Computer : n005.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed Jul 27 09:08:20 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 116.83/116.96  ----- Otter 3.3f, August 2004 -----
% 116.83/116.96  The process was started by sandbox on n005.cluster.edu,
% 116.83/116.96  Wed Jul 27 09:08:20 2022
% 116.83/116.96  The command was "./otter".  The process ID is 17664.
% 116.83/116.96  
% 116.83/116.96  set(prolog_style_variables).
% 116.83/116.96  set(auto).
% 116.83/116.96     dependent: set(auto1).
% 116.83/116.96     dependent: set(process_input).
% 116.83/116.96     dependent: clear(print_kept).
% 116.83/116.96     dependent: clear(print_new_demod).
% 116.83/116.96     dependent: clear(print_back_demod).
% 116.83/116.96     dependent: clear(print_back_sub).
% 116.83/116.96     dependent: set(control_memory).
% 116.83/116.96     dependent: assign(max_mem, 12000).
% 116.83/116.96     dependent: assign(pick_given_ratio, 4).
% 116.83/116.96     dependent: assign(stats_level, 1).
% 116.83/116.96     dependent: assign(max_seconds, 10800).
% 116.83/116.96  clear(print_given).
% 116.83/116.96  
% 116.83/116.96  list(usable).
% 116.83/116.96  0 [] A=A.
% 116.83/116.96  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Relation_OImage(V_r,V_A,T_b,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(V_x,V_b,T_b,T_a)),V_r))| -hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)).
% 116.83/116.96  0 [] hBOOL(hAPP(hAPP(c_in(T_b),V_b),c_Relation_OImage(V_r,V_A,T_a,T_b)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),V_r))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)).
% 116.83/116.96  0 [] c_Relation_OImage(c_Relation_OId(T_a),V_A,T_a,T_a)=V_A.
% 116.83/116.96  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)).
% 116.83/116.96  0 [] c_Relation_Orel__comp(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_c),tc_bool)),V_R,T_a,T_c,T_b)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 116.83/116.96  0 [] c_Relation_Orel__comp(V_R,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_bool)),T_a,T_c,T_b)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 116.83/116.96  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)).
% 116.83/116.96  0 [] c_Relation_Oantisym(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a).
% 116.83/116.96  0 [] c_Transitive__Closure_Otrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 116.83/116.96  0 [] c_Relation_OField(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 116.83/116.96  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)).
% 116.83/116.96  0 [] c_Relation_Orefl__on(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a).
% 116.83/116.96  0 [] c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)=c_Relation_OId(T_a).
% 116.83/116.96  0 [] c_Relation_Orel__comp(V_B,V_C,T_a,T_a,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool))|c_Relation_Orel__comp(V_A,V_C,T_a,T_a,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool))|c_Relation_Orel__comp(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(tc_prod(T_a,T_a),tc_bool)),V_C,T_a,T_a,T_a)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 116.83/116.96  0 [] c_Relation_Orel__comp(V_A,V_C,T_a,T_a,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool))|c_Relation_Orel__comp(V_A,V_B,T_a,T_a,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool))|c_Relation_Orel__comp(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a,T_a,T_a)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 116.83/116.96  0 [] c_Relation_OId__on(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 116.83/116.96  0 [] c_Order__Relation_Opartial__order__on(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a).
% 116.83/116.96  0 [] c_Order__Relation_Opreorder__on(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a).
% 116.83/116.96  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)).
% 116.83/116.96  0 [] c_Order__Relation_Olinear__order__on(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a).
% 116.83/116.96  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(V_a,V_b,T_b,T_a)),V_r))| -hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_b,T_a))).
% 116.83/116.96  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_b,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(V_a,V_b,T_b,T_a)),V_r)).
% 116.83/116.96  0 [] hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),c_Relation_OImage(V_r,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)),c_Equiv__Relations_Oquotient(V_A,V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 116.83/116.96  0 [] c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)!=c_Relation_OImage(V_r,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)| -hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Relation_OField(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Relation_OField(V_r,T_a)))| -c_Order__Relation_Opartial__order__on(c_Relation_OField(V_r,T_a),V_r,T_a)|V_a=V_b.
% 116.83/116.96  0 [] c_Finite__Set_Ofinite(V_r,tc_prod(T_a,T_a))| -c_Finite__Set_Ofinite(c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)).
% 116.83/116.96  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.
% 116.83/116.96  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)).
% 116.83/116.96  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)).
% 116.83/116.96  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).
% 116.83/116.96  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).
% 116.83/116.96  0 [] hBOOL(hAPP(V_P,V_x))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Collect(V_P,T_a),tc_fun(T_a,tc_bool)))).
% 116.83/116.96  0 [] c_Order__Relation_Olinear__order__on(V_A,V_r,T_a)| -c_Relation_Ototal__on(V_A,V_r,T_a)| -c_Order__Relation_Opartial__order__on(V_A,V_r,T_a).
% 116.83/116.96  0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool))=V_A.
% 116.83/116.96  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a)=V_x.
% 116.83/116.96  0 [] c_Relation_Otrans(c_Transitive__Closure_Otrancl(V_r,T_a),T_a).
% 116.83/116.96  0 [] c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b)|hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),c_Set_Oimage(V_f,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,T_b)))| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b).
% 116.83/116.96  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)).
% 116.83/116.96  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_A),c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1(V_A,V_C,T_a)))| -hBOOL(hAPP(hAPP(c_in(T_a),V_A),c_Complete__Lattice_OSup__class_OSup(V_C,tc_fun(T_a,tc_bool)))).
% 116.83/116.96  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_xa,V_x,T_a,T_a)),V_r))|hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_xa,T_a,T_a)),V_r))|V_x=V_xa| -hBOOL(hAPP(hAPP(c_in(T_a),V_xa),V_A))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))| -c_Relation_Ototal__on(V_A,V_r,T_a).
% 116.83/116.96  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).
% 116.83/116.96  0 [] c_HOL_Ominus__class_Ominus(V_A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A.
% 116.83/116.96  0 [] hAPP(hAPP(c_COMBC(V_P,T_b,T_c,T_a),V_Q),V_R)=hAPP(hAPP(V_P,V_R),V_Q).
% 116.83/116.96  0 [] hAPP(c_COMBK(V_P,T_a,T_b),V_Q)=V_P.
% 116.83/116.96  0 [] c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),T_a,T_b),tc_fun(T_b,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))| -c_Fun_Oinj__on(V_f,V_B,T_a,T_b)| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b)|c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b).
% 116.83/116.96  0 [] c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),T_a,T_b),tc_fun(T_b,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))| -c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b).
% 116.83/116.96  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)).
% 116.83/116.96  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),V_x),c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),V_x),c_Transitive__Closure_Ortrancl(V_S,T_a))).
% 116.83/116.96  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),V_x),c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),V_x),c_Transitive__Closure_Ortrancl(V_R,T_a))).
% 116.83/116.96  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).
% 116.83/116.96  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.
% 116.83/116.96  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.
% 116.83/116.96  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)).
% 116.83/116.96  0 [] c_Fun_Oinj__on(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b).
% 116.83/116.96  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)).
% 116.83/116.96  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)).
% 116.83/116.96  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).
% 116.83/116.96  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).
% 116.83/116.96  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).
% 116.83/116.96  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).
% 116.83/116.96  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).
% 116.83/116.96  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)).
% 116.83/116.96  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).
% 116.83/116.96  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).
% 116.83/116.96  0 [] c_Complete__Lattice_Ocomplete__lattice(V_Sup,V_Inf,c_COMBC(V_less__e_q,T_a,T_a,tc_bool),c_COMBC(V_less,T_a,T_a,tc_bool),V_sup,V_inf,V_top,V_bot,T_a)| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 116.83/116.96  0 [] c_Relation_Osym(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a)| -c_Relation_Osym(V_r,T_a).
% 116.83/116.96  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).
% 116.83/116.96  0 [] c_Order__Relation_Opartial__order__on(V_A,V_r,T_a)| -c_Relation_Oantisym(V_r,T_a)| -c_Order__Relation_Opreorder__on(V_A,V_r,T_a).
% 116.83/116.96  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.
% 116.83/116.96  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)).
% 116.83/116.96  0 [] c_Lattices_Olower__semilattice__class_Oinf(c_Relation_Oconverse(V_r,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_x,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a))).
% 116.83/116.96  0 [] c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)!=c_Relation_OImage(V_r,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)| -hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Relation_OField(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Relation_OField(V_r,T_a)))| -c_Relation_Oantisym(V_r,T_a)| -c_Relation_Orefl__on(c_Relation_OField(V_r,T_a),V_r,T_a)|V_a=V_b.
% 116.83/116.96  0 [] V_X=c_Relation_OImage(V_r,c_Set_Oinsert(c_List_Osko__Equiv__Relations__XquotientE__1__1(V_A,V_X,V_r,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)| -hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_X),c_Equiv__Relations_Oquotient(V_A,V_r,T_a))).
% 116.83/116.96  0 [] c_Finite__Set_Ofinite(c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))| -c_Finite__Set_Ofinite(V_r,tc_prod(T_a,T_a)).
% 116.83/116.96  0 [] V_b=V_a| -hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))).
% 116.83/116.96  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_A),c_Complete__Lattice_OInf__class_OInf(V_C,tc_fun(T_a,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(T_a),V_A),c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1(V_A,V_C,T_a))).
% 116.83/116.96  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)| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 116.83/116.96  0 [] c_Relation_Osym(c_Relation_OId__on(V_A,T_a),T_a).
% 116.83/116.96  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).
% 116.83/116.96  0 [] c_Fun_Oinj__on(V_f,V_A,T_a,T_b)| -c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b).
% 116.83/116.96  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))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)).
% 116.83/116.96  0 [] c_Relation_Orefl__on(V_A,c_Relation_OId__on(V_A,T_a),T_a).
% 116.83/116.96  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).
% 116.83/116.96  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).
% 116.83/116.96  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).
% 116.83/116.96  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).
% 116.83/116.96  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).
% 116.83/116.96  0 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_A,T_a).
% 116.83/116.96  0 [] c_Fun_Oinj__on(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b).
% 116.83/116.96  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)).
% 116.83/116.96  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(V_a,V_A,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_a,c_Complete__Lattice_OInf__class_OInf(V_A,T_a),T_a).
% 116.83/116.96  0 [] c_Transitive__Closure_Otrancl(c_Transitive__Closure_Ortrancl(V_R,T_a),T_a)=c_Transitive__Closure_Ortrancl(V_R,T_a).
% 116.83/116.96  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).
% 116.83/116.96  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).
% 116.83/116.96  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).
% 116.83/116.96  0 [] c_Set_Ovimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b)=c_HOL_Ominus__class_Ominus(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)).
% 116.83/116.96  0 [] c_Relation_Otrans(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a).
% 116.83/116.96  0 [] c_Collect(V_P,T_a)=V_P.
% 116.83/116.96  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(V_a,V_A,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_a,c_Complete__Lattice_OSup__class_OSup(V_A,T_a),T_a).
% 116.83/116.96  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)).
% 116.83/116.96  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)).
% 116.83/116.96  0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_B,T_a).
% 116.83/116.96  0 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofinite(V_B,T_a).
% 116.83/116.96  0 [] c_Set_Oinsert(V_a,V_A,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 116.83/116.96  0 [] hBOOL(hAPP(hAPP(c_in(T_aa),V_a),c_Set_Ovimage(V_f,c_Set_Oinsert(hAPP(V_f,V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_aa,T_a))).
% 116.83/116.96  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).
% 116.83/116.96  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).
% 116.83/116.96  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).
% 116.83/116.96  0 [] c_Finite__Set_Ofinite(hAPP(V_B,V_x),T_b)| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))| -c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),T_b)| -c_Finite__Set_Ofinite(V_A,T_a).
% 116.83/116.96  0 [] hBOOL(hAPP(V_A,V_x))|V_y=V_x| -hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)).
% 116.83/116.96  0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|hAPP(V_B,V_x)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)).
% 116.83/116.96  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).
% 116.83/116.96  0 [] c_Set_Oimage(V_f,V_A,T_a,T_b)!=c_Set_Oimage(V_f,V_B,T_a,T_b)| -c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)|V_A=V_B.
% 116.83/116.96  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).
% 116.83/116.96  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).
% 116.83/116.96  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)).
% 116.83/116.96  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)).
% 116.83/116.96  0 [] -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_x,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a)))| -c_Wellfounded_Oacyclic(V_r,T_a).
% 116.83/116.96  0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a).
% 116.83/116.96  0 [] c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a)| -c_Finite__Set_Ofinite(V_A,T_a).
% 116.83/116.96  0 [] c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 116.83/116.96  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).
% 116.83/116.96  0 [] c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_A,V_k),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool)),tc_fun(T_b,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool))| -hBOOL(hAPP(hAPP(c_in(T_a),V_k),V_I)).
% 116.83/116.96  0 [] hAPP(V_Sup,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))=hAPP(hAPP(V_sup,V_a),V_b)| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 116.83/116.96  0 [] hAPP(V_Inf,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))=hAPP(hAPP(V_inf,V_a),V_b)| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 116.83/116.96  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OSup__class_OSup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)=c_Orderings_Obot__class_Obot(T_a).
% 116.83/116.96  0 [] c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_G,T_a)| -c_Finite__Set_Ofinite(V_F,T_a).
% 116.83/116.96  0 [] c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_G,T_a)| -c_Finite__Set_Ofinite(V_F,T_a).
% 116.83/116.96  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_R,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Transitive__Closure_Otrancl(V_R,T_a)))|V_x=V_y.
% 116.83/116.96  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Transitive__Closure_Otrancl(V_R,T_a)))|V_x=V_y| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_R,T_a))).
% 116.83/116.96  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Otrancl(V_R,T_a)))|V_a=V_b| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_R,T_a))).
% 116.83/116.96  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(V_r,T_a,T_a),T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y,V_x,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))).
% 116.83/116.96  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y,V_x,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(V_r,T_a,T_a),T_a))).
% 116.83/116.96  0 [] c_Relation_Oantisym(c_Relation_OId(T_a),T_a).
% 116.83/116.96  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.
% 116.83/116.96  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)).
% 116.83/116.96  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).
% 116.83/116.96  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)).
% 116.83/116.96  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)).
% 116.83/116.96  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)).
% 116.83/116.96  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)).
% 116.83/116.96  0 [] c_Relation_Oantisym(V_r,T_a)| -c_Order__Relation_Opartial__order__on(V_A,V_r,T_a).
% 116.83/116.96  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).
% 116.83/116.96  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).
% 116.83/116.96  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).
% 116.83/116.96  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).
% 116.83/116.96  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).
% 116.83/116.96  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)).
% 116.83/116.96  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)).
% 116.83/116.97  0 [] c_Finite__Set_Ofinite(c_Complete__Lattice_OInf__class_OInf(V_M,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_x,T_a)| -hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_x),V_M)).
% 116.83/116.97  0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool))|hAPP(V_B,V_x)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)).
% 116.83/116.97  0 [] c_Finite__Set_Ofinite(V_F,T_a)| -c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a).
% 116.83/116.97  0 [] c_Finite__Set_Ofinite(V_G,T_a)| -c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a).
% 116.83/116.97  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.
% 116.83/116.97  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.
% 116.83/116.97  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.
% 116.83/116.97  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.
% 116.83/116.97  0 [] c_Relation_Otrans(c_Relation_OId(T_a),T_a).
% 116.83/116.97  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)).
% 116.83/116.97  0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_A,T_b,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))=V_B.
% 116.83/116.97  0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A.
% 116.83/116.97  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).
% 116.83/116.97  0 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)).
% 116.83/116.97  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)).
% 116.83/116.97  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)).
% 116.83/116.97  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)).
% 116.83/116.97  0 [] -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))|c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 116.83/116.97  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).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),c_Set_OPow(V_B,T_a))).
% 116.83/116.97  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)).
% 116.83/116.97  0 [] c_Relation_Oantisym(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a)| -c_Wellfounded_Oacyclic(V_r,T_a).
% 116.83/116.97  0 [] c_Order__Relation_Opartial__order__on(V_A,V_r,T_a)| -c_Order__Relation_Olinear__order__on(V_A,V_r,T_a).
% 116.83/116.97  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.
% 116.83/116.97  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)).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_x,T_a,T_a)),V_r))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))| -c_Relation_Orefl__on(V_A,V_r,T_a).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r))| -c_Relation_Orefl__on(V_A,V_r,T_a).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r))| -c_Relation_Orefl__on(V_A,V_r,T_a).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_a,T_a,T_a)),V_r))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A))| -c_Relation_Orefl__on(V_A,V_r,T_a).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Relation_Oinv__image(V_r,V_f,T_b,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_b)),c_Pair(hAPP(V_f,V_x),hAPP(V_f,V_y),T_b,T_b)),V_r)).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_b)),c_Pair(hAPP(V_f,V_x),hAPP(V_f,V_y),T_b,T_b)),V_r))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Relation_Oinv__image(V_r,V_f,T_b,T_a))).
% 116.83/116.97  0 [] c_Order__Relation_Opreorder__on(V_A,V_r,T_a)| -c_Order__Relation_Opartial__order__on(V_A,V_r,T_a).
% 116.83/116.97  0 [] c_Set_Oinsert(V_x,V_xa,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_xa)).
% 116.83/116.97  0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBK(V_c,tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool))=V_c|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)).
% 116.83/116.97  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_b)|c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBK(V_M,T_b,T_a),T_a,T_b)=V_M|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 116.83/116.97  0 [] hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))| -hBOOL(hAPP(V_A,V_x)).
% 116.83/116.97  0 [] c_Relation_Oantisym(c_Relation_OId__on(V_A,T_a),T_a).
% 116.83/116.97  0 [] c_Relation_Orel__comp(V_R,c_Relation_OId(T_b),T_a,T_b,T_b)=V_R.
% 116.83/116.97  0 [] c_Relation_Orel__comp(c_Relation_OId(T_a),V_R,T_a,T_a,T_b)=V_R.
% 116.83/116.97  0 [] c_Set_Oinsert(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)=c_Set_Oimage(V_f,V_A,T_a,T_b)| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 116.83/116.97  0 [] c_Finite__Set_Ofinite(c_Relation_OField(V_r,T_a),T_a)| -c_Finite__Set_Ofinite(V_r,tc_prod(T_a,T_a)).
% 116.83/116.97  0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))|hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)).
% 116.83/116.97  0 [] c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool))|hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_C)).
% 116.83/116.97  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)).
% 116.83/116.97  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)).
% 116.83/116.97  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).
% 116.83/116.97  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).
% 116.83/116.97  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)).
% 116.83/116.97  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)).
% 116.83/116.97  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)).
% 116.83/116.97  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)).
% 116.83/116.97  0 [] c_Relation_Otrans(c_Relation_OId__on(V_A,T_a),T_a).
% 116.83/116.97  0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),c_COMBK(V_c,tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 116.83/116.97  0 [] c_Relation_OField(c_Lattices_Oupper__semilattice__class_Osup(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OField(V_r,T_a),c_Relation_OField(V_s,T_a),tc_fun(T_a,tc_bool)).
% 116.83/116.97  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)).
% 116.83/116.97  0 [] c_Relation_Osym(c_Relation_OId(T_a),T_a).
% 116.83/116.97  0 [] c_Set_Oinsert(V_a,V_B,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Collect(hAPP(c_COMBC(c_fe_qual(T_a),T_a,T_a,tc_bool),V_a),T_a),V_B,tc_fun(T_a,tc_bool)).
% 116.83/116.97  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)).
% 116.83/116.97  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).
% 116.83/116.97  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).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y,V_x,T_a,T_a)),V_r))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r))| -c_Relation_Osym(V_r,T_a).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_b,V_a,T_a,T_a)),V_r))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r))| -c_Relation_Osym(V_r,T_a).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_c)),c_Pair(V_a,V_c,T_a,T_c)),c_Relation_Orel__comp(V_r,V_s,T_a,T_b,T_c)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_c)),c_Pair(V_b,V_c,T_b,T_c)),V_s))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),V_r)).
% 116.83/116.97  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)).
% 116.83/116.97  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)).
% 116.83/116.97  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).
% 116.83/116.97  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).
% 116.83/116.97  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).
% 116.83/116.97  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)).
% 116.83/116.97  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)=V_a.
% 116.83/116.97  0 [] c_Relation_Osym(c_Lattices_Oupper__semilattice__class_Osup(V_r,c_Relation_Oconverse(V_r,T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a).
% 116.83/116.97  0 [] -class_Finite__Set_Ofinite_Ofinite(T_a)|c_Finite__Set_Ofinite(V_A,T_a).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Collect(V_P,T_a),tc_fun(T_a,tc_bool)))).
% 116.83/116.97  0 [] c_Set_Ovimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)).
% 116.83/116.97  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OSup__class_OSup(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),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a).
% 116.83/116.97  0 [] -hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),c_Set_Oimage(V_f,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,T_b)))| -c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b).
% 116.83/116.97  0 [] c_Lattices_Olower__semilattice__class_Oinf(c_Complete__Lattice_OSup__class_OSup(V_C,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))|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_A,tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_x),V_C)).
% 116.83/116.97  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).
% 116.83/116.97  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)|hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)).
% 116.83/116.97  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)).
% 116.83/116.97  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)).
% 116.83/116.97  0 [] c_Fun_Oinj__on(V_f,V_B,T_a,T_b)| -c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b).
% 116.83/116.97  0 [] c_Fun_Oinj__on(V_f,V_A,T_a,T_b)| -c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b).
% 116.83/116.97  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).
% 116.83/116.97  0 [] c_Transitive__Closure_Otrancl(V_r,T_a)=V_r| -c_Relation_Otrans(V_r,T_a).
% 116.83/116.97  0 [] c_Relation_Osym(c_Transitive__Closure_Otrancl(V_r,T_a),T_a)| -c_Relation_Osym(V_r,T_a).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_c,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_b,V_c,T_a,T_a)),V_r))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_c,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_b,V_c,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r)).
% 116.83/116.97  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|hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 116.83/116.97  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)).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_c,T_a,T_a)),c_Transitive__Closure_Otrancl(V_R,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_b,V_c,T_a,T_a)),V_R))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_R)).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_c,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_b,V_c,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a))).
% 116.83/116.97  0 [] c_Set_Ovimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b)=c_Lattices_Olower__semilattice__class_Oinf(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_x,T_a,T_a)),c_Relation_OId(T_a))).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_a,T_a,T_a)),c_Relation_OId(T_a))).
% 116.83/116.97  0 [] c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_G,T_a).
% 116.83/116.97  0 [] c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_F,T_a).
% 116.83/116.97  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OInf__class_OInf(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),T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatLeastLessThan(V_less__e_q,V_less,V_l,V_u,T_a)))| -hBOOL(hAPP(hAPP(V_less,V_i),V_u))| -hBOOL(hAPP(hAPP(V_less__e_q,V_l),V_i)).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_b,V_A,T_a)))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_b,V_B,T_a)))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_B)).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatLeastAtMost(V_less__e_q,V_l,V_u,T_a)))| -hBOOL(hAPP(hAPP(V_less__e_q,V_i),V_u))| -hBOOL(hAPP(hAPP(V_less__e_q,V_l),V_i)).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B)).
% 116.83/116.97  0 [] -hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))).
% 116.83/116.97  0 [] hBOOL(hAPP(V_P,V_x))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))).
% 116.83/116.97  0 [] -hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))).
% 116.83/116.97  0 [] -hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A))|V_a=V_b| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_b,V_A,T_a))).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))|hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)))).
% 116.83/116.97  0 [] -hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)))).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)))).
% 116.83/116.97  0 [] hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__XbexI__1__1(V_A,V_P,T_a)))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))| -hBOOL(hAPP(V_P,V_x)).
% 116.83/116.97  0 [] hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__XbexE__1__1(V_A,V_P,T_a)))| -hBOOL(hAPP(V_P,V_x))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,V_A,T_a))).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_a,V_B,T_a))).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,V_B,T_a))).
% 116.83/116.97  0 [] hBOOL(hAPP(V_Q,V_xf))| -hBOOL(hAPP(hAPP(c_in(T_a),V_xf),V_A))| -hBOOL(hAPP(V_Q,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(V_A,V_P,V_Q,T_a)))| -hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(V_A,V_P,V_Q,T_a))).
% 116.83/116.97  0 [] hBOOL(hAPP(V_P,V_xg))| -hBOOL(hAPP(hAPP(c_in(T_a),V_xg),V_A))| -hBOOL(hAPP(V_Q,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(V_A,V_P,V_Q,T_a)))| -hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(V_A,V_P,V_Q,T_a))).
% 116.83/116.97  0 [] -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))|hBOOL(hAPP(V_P,V_x))|hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__XballE__1__1(V_A,V_P,T_a)),V_A)).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)))).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)))).
% 116.83/116.97  0 [] hAPP(V_f,c_FuncSet_Osko__FuncSet__XextensionalityI__1__1(V_A,V_f,V_g,T_a,T_b))!=hAPP(V_g,c_FuncSet_Osko__FuncSet__XextensionalityI__1__1(V_A,V_f,V_g,T_a,T_b))| -hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_g),c_FuncSet_Oextensional(V_A,T_a,T_b)))| -hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_Oextensional(V_A,T_a,T_b)))|V_f=V_g.
% 116.83/116.97  0 [] c_Collect(V_P,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(hAPP(V_P,V_x)).
% 116.83/116.97  0 [] V_a=V_b| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Relation_OId(T_a))).
% 116.83/116.97  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.
% 116.83/116.97  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.
% 116.83/116.97  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).
% 116.83/116.97  0 [] c_Finite__Set_Ofinite(c_Set_Oimage(V_h,V_F,T_a,T_b),T_b)| -c_Finite__Set_Ofinite(V_F,T_a).
% 116.83/116.97  0 [] V_x=V_y| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Relation_OId__on(V_A,T_a))).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_x,T_a,T_a)),c_Relation_OId__on(V_A,T_a)))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Relation_OId__on(V_A,T_a))).
% 116.83/116.97  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.
% 116.83/116.97  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.
% 116.83/116.97  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.
% 116.83/116.97  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.
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),V_p),c_Transitive__Closure_Ortrancl(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),V_p),V_r)).
% 116.83/116.97  0 [] V_a=V_b| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_b,V_a,T_a,T_a)),V_r))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r))| -c_Relation_Oantisym(V_r,T_a).
% 116.83/116.97  0 [] V_x=V_y| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y,V_x,T_a,T_a)),V_r))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r))| -c_Relation_Oantisym(V_r,T_a).
% 116.83/116.97  0 [] c_Relation_Otrans(V_r,T_a)| -c_Order__Relation_Opreorder__on(V_A,V_r,T_a).
% 116.83/116.97  0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(V_a,V_A,T_b),V_B,T_b,tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_B,V_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 116.83/116.97  0 [] c_Set_Ovimage(c_COMBK(V_c,T_b,T_a),V_A,T_a,T_b)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|hBOOL(hAPP(hAPP(c_in(T_b),V_c),V_A)).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(V_A,V_B,V_P,T_a)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))))| -hBOOL(hAPP(V_P,V_xa))| -hBOOL(hAPP(hAPP(c_in(T_a),V_xa),V_A)).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(V_A,V_B,V_P,T_a)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))))| -hBOOL(hAPP(V_P,V_x))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)).
% 116.83/116.97  0 [] c_Relation_Ototal__on(V_A,V_r,T_a)| -c_Order__Relation_Olinear__order__on(V_A,V_r,T_a).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a))).
% 116.83/116.97  0 [] hAPP(V_Sup,c_Set_Oinsert(V_a,V_A,T_a))=hAPP(hAPP(V_sup,V_a),hAPP(V_Sup,V_A))| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 116.83/116.97  0 [] hAPP(V_Inf,c_Set_Oinsert(V_a,V_A,T_a))=hAPP(hAPP(V_inf,V_a),hAPP(V_Inf,V_A))| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3(V_A,V_B,V_P,T_b,T_a)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool))))| -hBOOL(hAPP(V_P,V_xa))| -hBOOL(hAPP(hAPP(c_in(T_a),V_xa),hAPP(V_B,V_x)))| -hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_c,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_b,V_c,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a))).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_z,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y,V_z,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_x,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_R,T_a))).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_a,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_c,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_b,V_c,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))).
% 116.83/116.97  0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Set_Oinsert(V_a,V_A,T_a).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r)).
% 116.83/116.97  0 [] c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool))=c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),T_a)| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_C)).
% 116.83/116.97  0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool))=c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_c,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_b,V_c,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r)).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_c,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_b,V_c,T_a,T_a)),V_r))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_c,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_b,V_c,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r)).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_c,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_b,V_c,T_a,T_a)),V_r))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a))).
% 116.83/116.97  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).
% 116.83/116.97  0 [] c_Relation_Ototal__on(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_r,T_a).
% 116.83/116.97  0 [] hAPP(V_f,V_a)=V_b| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Ovimage(V_f,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_a,T_b))).
% 116.83/116.97  0 [] c_Set_Oinsert(V_a,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)),T_a)=c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 116.83/116.97  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).
% 116.83/116.97  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).
% 116.83/116.97  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)).
% 116.83/116.97  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)).
% 116.83/116.97  0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Collect(V_P,T_a)| -hBOOL(hAPP(V_P,V_x)).
% 116.83/116.97  0 [] hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)).
% 116.83/116.97  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).
% 116.83/116.97  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).
% 116.83/116.97  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)).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),V_p),c_Transitive__Closure_Otrancl(V_r,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),V_p),V_r)).
% 116.83/116.97  0 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)),T_a).
% 116.83/116.97  0 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(V_b,V_a,T_b,T_a)),V_r))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),c_Relation_Oconverse(V_r,T_b,T_a))).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(V_b,V_a,T_b,T_a)),c_Relation_Oconverse(V_r,T_a,T_b)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),V_r)).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),c_Relation_Oconverse(V_r,T_b,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(V_b,V_a,T_b,T_a)),V_r)).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_c,T_a,T_a)),V_r))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_b,V_c,T_a,T_a)),V_r))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r))| -c_Relation_Otrans(V_r,T_a).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_z,T_a,T_a)),V_r))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y,V_z,T_a,T_a)),V_r))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r))| -c_Relation_Otrans(V_r,T_a).
% 116.83/116.97  0 [] hAPP(V_Sup,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))=V_bot| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 116.83/116.97  0 [] hAPP(V_Inf,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))=V_top| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 116.83/116.97  0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBK(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 116.83/116.97  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| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)).
% 116.83/116.97  0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_x,T_a)=V_x.
% 116.83/116.97  0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,V_A,tc_fun(T_a,tc_bool))=V_A.
% 116.83/116.97  0 [] c_Relation_Orefl__on(V_A,V_r,T_a)| -c_Order__Relation_Opreorder__on(V_A,V_r,T_a).
% 116.83/116.97  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)=V_a.
% 116.83/116.97  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).
% 116.83/116.97  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).
% 116.83/116.97  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)).
% 116.83/116.97  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)).
% 116.83/116.97  0 [] c_Collect(hAPP(c_COMBC(c_fe_qual(T_a),T_a,T_a,tc_bool),V_a),T_a)=c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 116.83/116.97  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)).
% 116.83/116.97  0 [] hAPP(V_Sup,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))=V_a| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 116.83/116.97  0 [] hAPP(V_Inf,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))=V_a| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 116.83/116.97  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.
% 116.83/116.97  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.
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Collect(V_P,T_a),tc_fun(T_a,tc_bool))))| -hBOOL(hAPP(V_P,V_x))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 116.83/116.97  0 [] c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_a,T_b)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)).
% 116.83/116.97  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)).
% 116.83/116.97  0 [] c_Complete__Lattice_OSup__class_OSup(c_Set_OPow(V_A,T_a),tc_fun(T_a,tc_bool))=V_A.
% 116.83/116.97  0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),V_M,T_b,tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_M,T_b,tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_B,V_M,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 116.83/116.97  0 [] hBOOL(hAPP(V_A,hAPP(V_f,V_x)))| -hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x)).
% 116.83/116.97  0 [] hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x))| -hBOOL(hAPP(V_A,hAPP(V_f,V_x))).
% 116.83/116.97  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)).
% 116.83/116.97  0 [] c_Collect(hAPP(c_fe_qual(T_a),V_a),T_a)=c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 116.83/116.97  0 [] c_Finite__Set_Ofinite(V_A,T_b)| -c_Fun_Oinj__on(V_f,V_A,T_b,T_a)| -c_Finite__Set_Ofinite(c_Set_Oimage(V_f,V_A,T_b,T_a),T_a).
% 116.83/116.97  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)).
% 116.83/116.97  0 [] c_Relation_Osym(c_Lattices_Olower__semilattice__class_Oinf(V_r,c_Relation_Oconverse(V_r,T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a).
% 116.83/116.97  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)).
% 116.83/116.97  0 [] c_Set_Ovimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_a,T_b)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Relation_Oconverse(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Transitive__Closure_Otrancl(c_Relation_Oconverse(V_r,T_a,T_a),T_a))).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Transitive__Closure_Otrancl(c_Relation_Oconverse(V_r,T_a,T_a),T_a)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Relation_Oconverse(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a))).
% 116.83/116.97  0 [] c_Collect(hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_A),T_a)=V_A.
% 116.83/116.97  0 [] c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Otrancl(V_R,T_a),T_a)=c_Transitive__Closure_Ortrancl(V_R,T_a).
% 116.83/116.97  0 [] c_Order__Relation_Opreorder__on(V_A,V_r,T_a)| -c_Relation_Otrans(V_r,T_a)| -c_Relation_Orefl__on(V_A,V_r,T_a).
% 116.83/116.97  0 [] c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a)=c_Transitive__Closure_Ortrancl(V_r,T_a).
% 116.83/116.97  0 [] hAPP(V_f,V_x)!=hAPP(V_f,V_y)| -hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))|V_x=V_y| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b).
% 116.83/116.97  0 [] hAPP(V_f,V_x)!=hAPP(V_f,V_y)| -hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b)|V_x=V_y.
% 116.83/116.97  0 [] hAPP(V_f,V_x)!=hAPP(V_f,V_xa)| -hBOOL(hAPP(hAPP(c_in(T_a),V_xa),V_A))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b)|V_x=V_xa.
% 116.83/116.97  0 [] hAPP(V_f,V_x)!=hAPP(V_f,V_y)| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b)|V_x=V_y| -hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 116.83/116.97  0 [] -hBOOL(hAPP(V_P,V_x))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))).
% 116.83/116.97  0 [] hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_R)!=hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_S)|V_R=V_S.
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Collect(V_P,T_a)))| -hBOOL(hAPP(V_P,V_a)).
% 116.83/116.97  0 [] hBOOL(hAPP(V_P,V_a))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Collect(V_P,T_a))).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatMost(V_less__e_q,V_k,T_a)))| -hBOOL(hAPP(hAPP(V_less__e_q,V_i),V_k)).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(V_less__e_q,V_i),V_k))| -hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatMost(V_less__e_q,V_k,T_a))).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))))|hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))))|hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B))| -hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)).
% 116.83/116.97  0 [] hBOOL(hAPP(V_Q,V_xd))| -hBOOL(hAPP(hAPP(c_in(T_a),V_xd),V_A))|hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(V_A,V_P,V_Q,T_a)),V_A)).
% 116.83/116.97  0 [] hBOOL(hAPP(V_P,V_xe))| -hBOOL(hAPP(hAPP(c_in(T_a),V_xe),V_A))|hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(V_A,V_P,V_Q,T_a)),V_A)).
% 116.83/116.97  0 [] -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))|hBOOL(hAPP(V_P,V_x))| -hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__XballE__1__1(V_A,V_P,T_a))).
% 116.83/116.97  0 [] c_Set_Oinsert(V_x,V_A,T_a)!=c_Set_Oinsert(V_x,V_B,T_a)|hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B))|hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))|V_A=V_B.
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__XbexI__1__1(V_A,V_P,T_a)),V_A))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))| -hBOOL(hAPP(V_P,V_x)).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(T_a),V_b),hAPP(V_B,V_x)))| -hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(T_b),V_b),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(T_b),V_b),hAPP(V_B,V_a)))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OgreaterThan(V_less,V_k,T_a)))| -hBOOL(hAPP(hAPP(V_less,V_k),V_i)).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(V_less,V_k),V_i))| -hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OgreaterThan(V_less,V_k,T_a))).
% 116.83/116.97  0 [] hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3(V_A,V_B,V_P,T_b,T_a)))| -hBOOL(hAPP(V_P,V_xa))| -hBOOL(hAPP(hAPP(c_in(T_a),V_xa),hAPP(V_B,V_x)))| -hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Ovimage(V_f,V_B,T_a,T_b)))| -hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),V_B)).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(T_b),V_a),c_Set_Ovimage(V_f,V_A,T_b,T_a)))| -hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_a)),V_A)).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(T_b),V_a),c_Set_Ovimage(V_f,V_B,T_b,T_a)))| -hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_a)),V_B)).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),V_B))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Ovimage(V_f,V_B,T_a,T_b))).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),V_A))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Ovimage(V_f,V_A,T_a,T_b))).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(V_less__e_q,hAPP(V_Inf,V_A)),V_x))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(V_less__e_q,V_x),hAPP(V_Sup,V_A)))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(V_less__e_q,V_i),V_u))| -hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatLeastAtMost(V_less__e_q,V_l,V_u,T_a))).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(V_less__e_q,V_l),V_i))| -hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatLeastAtMost(V_less__e_q,V_l,V_u,T_a))).
% 116.83/116.97  0 [] hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(V_A,V_B,V_P,T_a)))| -hBOOL(hAPP(V_P,V_x))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)).
% 116.83/116.97  0 [] hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(V_A,V_B,V_P,T_a)))| -hBOOL(hAPP(V_P,V_xa))| -hBOOL(hAPP(hAPP(c_in(T_a),V_xa),V_A)).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__XbexE__1__1(V_A,V_P,T_a)),V_A))| -hBOOL(hAPP(V_P,V_x))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 116.83/116.97  0 [] c_Set_Oinsert(V_a,V_A,T_a)=V_A| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OlessThan(V_less,V_k,T_a)))| -hBOOL(hAPP(hAPP(V_less,V_i),V_k)).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(V_less,V_i),V_k))| -hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OlessThan(V_less,V_k,T_a))).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_fun(T_c,tc_bool))),V_b),V_c))| -hBOOL(hAPP(hAPP(hAPP(V_B,V_x),V_b),V_c))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 116.83/116.97  0 [] hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b))| -hBOOL(hAPP(hAPP(V_B,V_x),V_b))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_fun(T_c,tc_bool))),V_b),V_c))| -hBOOL(hAPP(hAPP(hAPP(V_B,V_a),V_b),V_c))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)).
% 116.83/116.97  0 [] hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b))| -hBOOL(hAPP(hAPP(V_B,V_a),V_b))| -hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(V_less,V_i),V_u))| -hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatLeastLessThan(V_less__e_q,V_less,V_l,V_u,T_a))).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(V_less__e_q,V_l),V_i))| -hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatLeastLessThan(V_less__e_q,V_less,V_l,V_u,T_a))).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1(V_A,V_P,T_a)),V_A))| -hBOOL(hAPP(V_P,V_x))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 116.83/116.97  0 [] hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1(V_A,V_P,T_a)))| -hBOOL(hAPP(V_P,V_x))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 116.83/116.97  0 [] -hBOOL(hAPP(hAPP(c_in(T_aa),V_x),V_A))|hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_aa,T_a))).
% 116.83/116.97  0 [] -hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A))|hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_b,T_a))).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_b,T_a)))| -hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_a,T_b)))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_OPi(V_A,V_B,T_a,T_b)))|hBOOL(hAPP(hAPP(c_in(T_a),c_FuncSet_Osko__FuncSet__XPi__I__1__1(V_A,V_B,V_f,T_a,T_b)),V_A)).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_OPi(V_A,V_B,T_a,T_b)))|hBOOL(hAPP(hAPP(c_in(T_a),c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(V_A,V_B,V_f,T_a,T_b)),V_A)).
% 116.83/116.97  0 [] hAPP(V_f,V_x)=c_HOL_Oundefined(T_b)|hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))| -hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_Oextensional(V_A,T_a,T_b))).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_OPi(V_A,V_B,T_a,T_b)))| -hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,c_FuncSet_Osko__FuncSet__XPi__I__1__1(V_A,V_B,V_f,T_a,T_b))),hAPP(V_B,c_FuncSet_Osko__FuncSet__XPi__I__1__1(V_A,V_B,V_f,T_a,T_b)))).
% 116.83/116.97  0 [] V_f=V_g|hBOOL(hAPP(hAPP(c_in(T_a),c_FuncSet_Osko__FuncSet__XextensionalityI__1__1(V_A,V_f,V_g,T_a,T_b)),V_A))| -hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_g),c_FuncSet_Oextensional(V_A,T_a,T_b)))| -hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_Oextensional(V_A,T_a,T_b))).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_x)),V_B))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))| -hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_OPi(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b))).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_OPi(V_A,V_B,T_a,T_b)))| -hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(V_A,V_B,V_f,T_a,T_b))),hAPP(V_B,c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(V_A,V_B,V_f,T_a,T_b)))).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_A),c_Complete__Lattice_OInf__class_OInf(V_C,tc_fun(T_a,tc_bool))))|hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1(V_A,V_C,T_a)),V_C)).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1(V_A,V_C,T_a)),V_C))| -hBOOL(hAPP(hAPP(c_in(T_a),V_A),c_Complete__Lattice_OSup__class_OSup(V_C,tc_fun(T_a,tc_bool)))).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(T_a),c_List_Osko__Equiv__Relations__XquotientE__1__1(V_A,V_X,V_r,T_a)),V_A))| -hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_X),c_Equiv__Relations_Oquotient(V_A,V_r,T_a))).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_A),c_Set_OPow(V_A,T_a))).
% 116.83/116.97  0 [] c_Order__Relation_Opartial__order__on(V_A,V_r,T_a)| -c_Order__Relation_Opartial__order__on(V_A,c_Relation_Oconverse(V_r,T_a,T_a),T_a).
% 116.83/116.97  0 [] c_Order__Relation_Opartial__order__on(V_A,c_Relation_Oconverse(V_r,T_a,T_a),T_a)| -c_Order__Relation_Opartial__order__on(V_A,V_r,T_a).
% 116.83/116.97  0 [] c_Relation_Ototal__on(V_A,c_Relation_Oconverse(V_r,T_a,T_a),T_a)| -c_Relation_Ototal__on(V_A,V_r,T_a).
% 116.83/116.97  0 [] c_Relation_Ototal__on(V_A,V_r,T_a)| -c_Relation_Ototal__on(V_A,c_Relation_Oconverse(V_r,T_a,T_a),T_a).
% 116.83/116.97  0 [] c_Order__Relation_Olinear__order__on(V_A,V_r,T_a)| -c_Order__Relation_Olinear__order__on(V_A,c_Relation_Oconverse(V_r,T_a,T_a),T_a).
% 116.83/116.97  0 [] c_Order__Relation_Olinear__order__on(V_A,c_Relation_Oconverse(V_r,T_a,T_a),T_a)| -c_Order__Relation_Olinear__order__on(V_A,V_r,T_a).
% 116.83/116.97  0 [] c_Relation_Oconverse(c_Lattices_Oupper__semilattice__class_Osup(V_r,V_s,tc_fun(tc_prod(T_b,T_a),tc_bool)),T_b,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Oconverse(V_r,T_b,T_a),c_Relation_Oconverse(V_s,T_b,T_a),tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 116.83/116.97  0 [] c_Order__Relation_Opreorder__on(V_A,c_Relation_Oconverse(V_r,T_a,T_a),T_a)| -c_Order__Relation_Opreorder__on(V_A,V_r,T_a).
% 116.83/116.97  0 [] c_Order__Relation_Opreorder__on(V_A,V_r,T_a)| -c_Order__Relation_Opreorder__on(V_A,c_Relation_Oconverse(V_r,T_a,T_a),T_a).
% 116.83/116.97  0 [] c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(V_r,T_a,T_a),T_a)=c_Relation_Oconverse(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a,T_a).
% 116.83/116.97  0 [] c_Wellfounded_Oacyclic(c_Relation_Oconverse(V_r,T_a,T_a),T_a)| -c_Wellfounded_Oacyclic(V_r,T_a).
% 116.83/116.97  0 [] c_Wellfounded_Oacyclic(V_r,T_a)| -c_Wellfounded_Oacyclic(c_Relation_Oconverse(V_r,T_a,T_a),T_a).
% 116.83/116.97  0 [] c_Relation_Oantisym(c_Relation_Oconverse(V_r,T_a,T_a),T_a)| -c_Relation_Oantisym(V_r,T_a).
% 116.83/116.97  0 [] c_Relation_Oantisym(V_r,T_a)| -c_Relation_Oantisym(c_Relation_Oconverse(V_r,T_a,T_a),T_a).
% 116.83/116.97  0 [] c_Relation_Oconverse(c_Relation_OId__on(V_A,T_a),T_a,T_a)=c_Relation_OId__on(V_A,T_a).
% 116.83/116.97  0 [] c_Transitive__Closure_Otrancl(c_Relation_Oconverse(V_r,T_a,T_a),T_a)=c_Relation_Oconverse(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a).
% 116.83/116.97  0 [] c_Relation_Oconverse(c_Relation_Oinv__image(V_R,V_f,T_b,T_a),T_a,T_a)=c_Relation_Oinv__image(c_Relation_Oconverse(V_R,T_b,T_b),V_f,T_b,T_a).
% 116.83/116.97  0 [] c_Relation_Oconverse(c_Relation_OId(T_a),T_a,T_a)=c_Relation_OId(T_a).
% 116.83/116.97  0 [] c_Relation_Otrans(c_Relation_Oconverse(V_r,T_a,T_a),T_a)| -c_Relation_Otrans(V_r,T_a).
% 116.83/116.97  0 [] c_Relation_Otrans(V_r,T_a)| -c_Relation_Otrans(c_Relation_Oconverse(V_r,T_a,T_a),T_a).
% 116.83/116.97  0 [] c_Relation_Oconverse(c_Relation_Orel__comp(V_r,V_s,T_b,T_c,T_a),T_b,T_a)=c_Relation_Orel__comp(c_Relation_Oconverse(V_s,T_c,T_a),c_Relation_Oconverse(V_r,T_b,T_c),T_a,T_c,T_b).
% 116.83/116.97  0 [] c_Relation_Oconverse(V_r,T_a,T_a)!=V_r|c_Relation_Osym(V_r,T_a).
% 116.83/116.97  0 [] c_Relation_Oconverse(V_r,T_a,T_a)=V_r| -c_Relation_Osym(V_r,T_a).
% 116.83/116.97  0 [] c_Relation_Orefl__on(V_A,c_Relation_Oconverse(V_r,T_a,T_a),T_a)| -c_Relation_Orefl__on(V_A,V_r,T_a).
% 116.83/116.97  0 [] c_Relation_Orefl__on(V_A,V_r,T_a)| -c_Relation_Orefl__on(V_A,c_Relation_Oconverse(V_r,T_a,T_a),T_a).
% 116.83/116.97  0 [] c_Relation_OField(c_Relation_Oconverse(V_r,T_a,T_a),T_a)=c_Relation_OField(V_r,T_a).
% 116.83/116.97  0 [] c_Relation_Oconverse(c_Lattices_Olower__semilattice__class_Oinf(V_r,V_s,tc_fun(tc_prod(T_b,T_a),tc_bool)),T_b,T_a)=c_Lattices_Olower__semilattice__class_Oinf(c_Relation_Oconverse(V_r,T_b,T_a),c_Relation_Oconverse(V_s,T_b,T_a),tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 116.83/116.97  0 [] c_Finite__Set_Ofinite(c_Relation_Oconverse(V_r,T_b,T_a),tc_prod(T_a,T_b))| -c_Finite__Set_Ofinite(V_r,tc_prod(T_b,T_a)).
% 116.83/116.97  0 [] c_Finite__Set_Ofinite(V_r,tc_prod(T_b,T_a))| -c_Finite__Set_Ofinite(c_Relation_Oconverse(V_r,T_b,T_a),tc_prod(T_a,T_b)).
% 116.83/116.97  0 [] c_Relation_Osym(c_Relation_Oconverse(V_r,T_a,T_a),T_a)| -c_Relation_Osym(V_r,T_a).
% 116.83/116.97  0 [] c_Relation_Osym(V_r,T_a)| -c_Relation_Osym(c_Relation_Oconverse(V_r,T_a,T_a),T_a).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_x)),hAPP(V_B,V_x)))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))| -hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_OPi(V_A,V_B,T_a,T_b))).
% 116.83/116.97  0 [] -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A))|hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_x)),hAPP(V_B,V_x)))| -hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_OPi(V_A,V_B,T_a,T_b))).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_A),V_X))| -hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_X),V_C))| -hBOOL(hAPP(hAPP(c_in(T_a),V_A),c_Complete__Lattice_OInf__class_OInf(V_C,tc_fun(T_a,tc_bool)))).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_A),c_Complete__Lattice_OSup__class_OSup(V_C,tc_fun(T_a,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(T_a),V_A),V_X))| -hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_X),V_C)).
% 116.83/116.97  0 [] -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))| -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_y,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))|V_x=V_y| -hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_y,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))|hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L))|V_x=V_y| -hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)).
% 116.83/116.97  0 [] c_Relation_Oconverse(c_Relation_Oconverse(V_r,T_a,T_b),T_b,T_a)=V_r.
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S))| -hBOOL(hAPP(V_S,V_x)).
% 116.83/116.97  0 [] hBOOL(hAPP(V_S,V_x))| -hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S)).
% 116.83/116.97  0 [] -hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_L),c_Arrow__Order__Mirabelle_OLin))| -hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_Relation_Oconverse(v_L,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_OLin)).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_Relation_Oconverse(v_L,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_OLin))|hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_L),c_Arrow__Order__Mirabelle_OLin)).
% 116.83/116.97  0 [] class_Finite__Set_Ofinite_Ofinite(tc_prod(T_2,T_1))| -class_Finite__Set_Ofinite_Ofinite(T_1)| -class_Finite__Set_Ofinite_Ofinite(T_2).
% 116.83/116.97  0 [] class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1))| -class_Complete__Lattice_Ocomplete__lattice(T_1).
% 116.83/116.97  0 [] class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 116.83/116.97  0 [] class_Lattices_Olower__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 116.83/116.97  0 [] class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1))| -class_Lattices_Odistrib__lattice(T_1).
% 116.83/116.97  0 [] class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))| -class_Lattices_Obounded__lattice(T_1).
% 116.83/116.97  0 [] class_Finite__Set_Ofinite_Ofinite(tc_fun(T_2,T_1))| -class_Finite__Set_Ofinite_Ofinite(T_1)| -class_Finite__Set_Ofinite_Ofinite(T_2).
% 116.83/116.97  0 [] class_Lattices_Olattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 116.83/116.97  0 [] class_Complete__Lattice_Ocomplete__lattice(tc_bool).
% 116.83/116.97  0 [] class_Lattices_Oupper__semilattice(tc_bool).
% 116.83/116.97  0 [] class_Lattices_Olower__semilattice(tc_bool).
% 116.83/116.97  0 [] class_Lattices_Odistrib__lattice(tc_bool).
% 116.83/116.97  0 [] class_Lattices_Obounded__lattice(tc_bool).
% 116.83/116.97  0 [] class_Finite__Set_Ofinite_Ofinite(tc_bool).
% 116.83/116.97  0 [] class_Lattices_Olattice(tc_bool).
% 116.83/116.97  0 [] hBOOL(hAPP(hAPP(c_fe_qual(T_a),V_x),V_x)).
% 116.83/116.97  0 [] V_X=V_Y| -hBOOL(hAPP(hAPP(c_fe_qual(T_a),V_X),V_Y)).
% 116.83/116.97  end_of_list.
% 116.83/116.97  
% 116.83/116.97  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 116.83/116.97  
% 116.83/116.97  This ia a non-Horn set with equality.  The strategy will be
% 116.83/116.97  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 116.83/116.97  deletion, with positive clauses in sos and nonpositive
% 116.83/116.97  clauses in usable.
% 116.83/116.97  
% 116.83/116.97     dependent: set(knuth_bendix).
% 116.83/116.97     dependent: set(anl_eq).
% 116.83/116.97     dependent: set(para_from).
% 116.83/116.97     dependent: set(para_into).
% 116.83/116.97     dependent: clear(para_from_right).
% 116.83/116.97     dependent: clear(para_into_right).
% 116.83/116.97     dependent: set(para_from_vars).
% 116.83/116.97     dependent: set(eq_units_both_ways).
% 116.83/116.97     dependent: set(dynamic_demod_all).
% 116.83/116.97     dependent: set(dynamic_demod).
% 116.83/116.97     dependent: set(order_eq).
% 116.83/116.97     dependent: set(back_demod).
% 116.83/116.97     dependent: set(lrpo).
% 116.83/116.97     dependent: set(hyper_res).
% 116.83/116.97     dependent: set(unit_deletion).
% 116.83/116.97     dependent: set(factor).
% 116.83/116.97  
% 116.83/116.97  ------------> process usable:
% 116.83/116.97  ** KEPT (pick-wt=31): 1 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Relation_OImage(C,D,E,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(E,A)),c_Pair(F,B,E,A)),C))| -hBOOL(hAPP(hAPP(c_in(E),F),D)).
% 116.83/116.97    Following clause subsumed by 1 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Relation_OImage(C,D,E,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(E,A)),c_Pair(F,B,E,A)),C))| -hBOOL(hAPP(hAPP(c_in(E),F),D)).
% 116.83/116.97  ** KEPT (pick-wt=46): 2 [] c_Relation_Orel__comp(A,B,C,C,C)!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(C,C),tc_bool))|c_Relation_Orel__comp(D,B,C,C,C)!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(C,C),tc_bool))|c_Relation_Orel__comp(c_Lattices_Oupper__semilattice__class_Osup(D,A,tc_fun(tc_prod(C,C),tc_bool)),B,C,C,C)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(C,C),tc_bool)).
% 116.83/116.97  ** KEPT (pick-wt=46): 3 [] c_Relation_Orel__comp(A,B,C,C,C)!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(C,C),tc_bool))|c_Relation_Orel__comp(A,D,C,C,C)!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(C,C),tc_bool))|c_Relation_Orel__comp(A,c_Lattices_Oupper__semilattice__class_Osup(D,B,tc_fun(tc_prod(C,C),tc_bool)),C,C,C)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(C,C),tc_bool)).
% 116.83/116.97  ** KEPT (pick-wt=30): 4 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,B)),c_Pair(C,D,A,B)),E))| -hBOOL(hAPP(hAPP(c_in(B),D),c_Relation_OImage(E,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A,B))).
% 116.83/116.97  ** KEPT (pick-wt=30): 5 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Relation_OImage(C,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(E,tc_bool)),E),E,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(E,A)),c_Pair(D,B,E,A)),C)).
% 116.83/116.97  ** KEPT (pick-wt=29): 6 [] hBOOL(hAPP(hAPP(c_in(tc_fun(A,tc_bool)),c_Relation_OImage(B,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A,A)),c_Equiv__Relations_Oquotient(D,B,A)))| -hBOOL(hAPP(hAPP(c_in(A),C),D)).
% 116.83/116.97  ** KEPT (pick-wt=50): 7 [] c_Relation_OImage(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)!=c_Relation_OImage(A,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)| -hBOOL(hAPP(hAPP(c_in(C),D),c_Relation_OField(A,C)))| -hBOOL(hAPP(hAPP(c_in(C),B),c_Relation_OField(A,C)))| -c_Order__Relation_Opartial__order__on(c_Relation_OField(A,C),A,C)|B=D.
% 116.83/116.97  ** KEPT (pick-wt=12): 8 [] c_Finite__Set_Ofinite(A,tc_prod(B,B))| -c_Finite__Set_Ofinite(c_Transitive__Closure_Otrancl(A,B),tc_prod(B,B)).
% 116.83/116.97  ** KEPT (pick-wt=19): 9 [] 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.
% 116.83/116.97  ** KEPT (pick-wt=20): 11 [copy,10,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).
% 116.83/116.97  ** KEPT (pick-wt=20): 13 [copy,12,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).
% 116.83/116.97  ** KEPT (pick-wt=18): 14 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_in(C),B),c_Lattices_Olower__semilattice__class_Oinf(D,c_Collect(A,C),tc_fun(C,tc_bool)))).
% 116.83/116.97  ** KEPT (pick-wt=12): 15 [] c_Order__Relation_Olinear__order__on(A,B,C)| -c_Relation_Ototal__on(A,B,C)| -c_Order__Relation_Opartial__order__on(A,B,C).
% 116.83/116.97  ** KEPT (pick-wt=8): 16 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,B,A)=B.
% 116.83/116.97  ** KEPT (pick-wt=37): 17 [] c_Fun_Oinj__on(A,c_Set_Oinsert(B,C,D),D,E)|hBOOL(hAPP(hAPP(c_in(E),hAPP(A,B)),c_Set_Oimage(A,c_HOL_Ominus__class_Ominus(C,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),D,E)))| -c_Fun_Oinj__on(A,C,D,E).
% 116.83/116.97  ** KEPT (pick-wt=21): 18 [] hBOOL(hAPP(hAPP(c_in(A),B),c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1(B,C,A)))| -hBOOL(hAPP(hAPP(c_in(A),B),c_Complete__Lattice_OSup__class_OSup(C,tc_fun(A,tc_bool)))).
% 116.83/116.97  ** KEPT (pick-wt=47): 19 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),D))|hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(C,B,A,A)),D))|C=B| -hBOOL(hAPP(hAPP(c_in(A),B),E))| -hBOOL(hAPP(hAPP(c_in(A),C),E))| -c_Relation_Ototal__on(E,D,A).
% 116.83/116.97  ** KEPT (pick-wt=49): 20 [] c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D,E),c_Set_Oimage(A,c_HOL_Ominus__class_Ominus(C,B,tc_fun(D,tc_bool)),D,E),tc_fun(E,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(E,tc_bool))| -c_Fun_Oinj__on(A,C,D,E)| -c_Fun_Oinj__on(A,B,D,E)|c_Fun_Oinj__on(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D,E).
% 116.83/116.97  ** KEPT (pick-wt=39): 21 [] c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D,E),c_Set_Oimage(A,c_HOL_Ominus__class_Ominus(C,B,tc_fun(D,tc_bool)),D,E),tc_fun(E,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(E,tc_bool))| -c_Fun_Oinj__on(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D,E).
% 116.83/116.97  ** KEPT (pick-wt=29): 22 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),B),c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(C,D,tc_fun(tc_prod(A,A),tc_bool)),A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),B),c_Transitive__Closure_Ortrancl(D,A))).
% 116.83/116.97  ** KEPT (pick-wt=29): 23 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),B),c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(C,D,tc_fun(tc_prod(A,A),tc_bool)),A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),B),c_Transitive__Closure_Ortrancl(C,A))).
% 116.83/116.97  ** KEPT (pick-wt=14): 24 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,D,A)|B=C.
% 116.83/116.97  ** KEPT (pick-wt=14): 25 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)!=c_HOL_Ominus__class_Ominus(C,D,A)|C=D.
% 116.83/116.97  ** KEPT (pick-wt=17): 26 [] -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).
% 116.83/116.97  ** KEPT (pick-wt=17): 27 [] -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).
% 116.83/116.97  ** KEPT (pick-wt=17): 28 [] -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).
% 116.83/116.97  ** KEPT (pick-wt=17): 29 [] -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).
% 116.83/116.97  ** KEPT (pick-wt=11): 30 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=c_Lattices_Olower__semilattice__class_Oinf(C,B,A).
% 116.83/116.97  ** KEPT (pick-wt=11): 31 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=c_Lattices_Olower__semilattice__class_Oinf(C,B,A).
% 116.83/116.97  ** KEPT (pick-wt=28): 32 [] c_Complete__Lattice_Ocomplete__lattice(A,B,c_COMBC(C,D,D,tc_bool),c_COMBC(E,D,D,tc_bool),F,G,H,I,D)| -c_Complete__Lattice_Ocomplete__lattice(B,A,C,E,G,F,I,H,D).
% 116.83/116.97  ** KEPT (pick-wt=8): 33 [] c_Relation_Osym(c_Transitive__Closure_Ortrancl(A,B),B)| -c_Relation_Osym(A,B).
% 116.83/116.98  ** KEPT (pick-wt=11): 34 [] c_Order__Relation_Opartial__order__on(A,B,C)| -c_Relation_Oantisym(B,C)| -c_Order__Relation_Opreorder__on(A,B,C).
% 116.83/116.98  ** KEPT (pick-wt=18): 35 [] 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.
% 116.83/116.98  ** KEPT (pick-wt=35): 36 [] c_Lattices_Olower__semilattice__class_Oinf(c_Relation_Oconverse(A,B,B),c_Transitive__Closure_Ortrancl(A,B),tc_fun(tc_prod(B,B),tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(B,B),tc_bool))| -hBOOL(hAPP(hAPP(c_in(tc_prod(B,B)),c_Pair(C,C,B,B)),c_Transitive__Closure_Otrancl(A,B))).
% 116.83/116.98  ** KEPT (pick-wt=53): 37 [] c_Relation_OImage(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)!=c_Relation_OImage(A,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)| -hBOOL(hAPP(hAPP(c_in(C),D),c_Relation_OField(A,C)))| -hBOOL(hAPP(hAPP(c_in(C),B),c_Relation_OField(A,C)))| -c_Relation_Oantisym(A,C)| -c_Relation_Orefl__on(c_Relation_OField(A,C),A,C)|B=D.
% 116.83/116.98  ** KEPT (pick-wt=29): 39 [copy,38,flip.1] c_Relation_OImage(A,c_Set_Oinsert(c_List_Osko__Equiv__Relations__XquotientE__1__1(B,C,A,D),c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),D,D)=C| -hBOOL(hAPP(hAPP(c_in(tc_fun(D,tc_bool)),C),c_Equiv__Relations_Oquotient(B,A,D))).
% 116.83/116.98  ** KEPT (pick-wt=12): 40 [] c_Finite__Set_Ofinite(c_Transitive__Closure_Otrancl(A,B),tc_prod(B,B))| -c_Finite__Set_Ofinite(A,tc_prod(B,B)).
% 116.83/116.98  ** KEPT (pick-wt=16): 41 [] A=B| -hBOOL(hAPP(hAPP(c_in(C),A),c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C))).
% 116.83/116.98  ** KEPT (pick-wt=21): 42 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Complete__Lattice_OInf__class_OInf(C,tc_fun(A,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(A),B),c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1(B,C,A))).
% 116.83/116.98  ** KEPT (pick-wt=23): 43 [] 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)| -hBOOL(hAPP(hAPP(c_in(C),E),D)).
% 116.83/116.98  ** KEPT (pick-wt=13): 44 [] c_Fun_Oinj__on(A,B,C,D)| -c_Fun_Oinj__on(A,c_Set_Oinsert(E,B,C),C,D).
% 116.83/116.98  ** KEPT (pick-wt=23): 45 [] 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))| -hBOOL(hAPP(hAPP(c_in(C),A),D)).
% 116.83/116.98  ** KEPT (pick-wt=14): 46 [] 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).
% 116.83/116.98  ** KEPT (pick-wt=14): 47 [] 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).
% 116.83/116.98  ** KEPT (pick-wt=10): 48 [] c_Relation_Osym(c_Relation_Oinv__image(A,B,C,D),D)| -c_Relation_Osym(A,C).
% 116.83/116.98  ** KEPT (pick-wt=11): 49 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(A,C).
% 116.83/116.98  ** KEPT (pick-wt=15): 50 [] c_Fun_Oinj__on(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D,E)| -c_Fun_Oinj__on(A,B,D,E).
% 116.83/116.98  ** KEPT (pick-wt=16): 51 [] 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)).
% 116.83/116.98  ** KEPT (pick-wt=15): 52 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(B,C,A),A)=c_Lattices_Olower__semilattice__class_Oinf(B,c_Complete__Lattice_OInf__class_OInf(C,A),A).
% 116.83/116.98  ** KEPT (pick-wt=15): 53 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(B,C,A),A)=c_Lattices_Oupper__semilattice__class_Osup(B,c_Complete__Lattice_OSup__class_OSup(C,A),A).
% 116.83/116.98  ** KEPT (pick-wt=14): 54 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,C,tc_fun(B,tc_bool)),B)| -c_Finite__Set_Ofinite(C,B).
% 116.83/116.98    Following clause subsumed by 49 during input processing: 0 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(A,C)| -c_Finite__Set_Ofinite(B,C).
% 116.83/116.98  ** KEPT (pick-wt=9): 55 [] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 116.83/116.98  ** KEPT (pick-wt=24): 56 [] c_Finite__Set_Ofinite(hAPP(A,B),C)| -hBOOL(hAPP(hAPP(c_in(D),B),E))| -c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(E,A,D,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(E,D).
% 116.83/116.98  ** KEPT (pick-wt=14): 57 [] hBOOL(hAPP(A,B))|C=B| -hBOOL(hAPP(c_Set_Oinsert(C,A,D),B)).
% 116.83/116.98  ** KEPT (pick-wt=27): 58 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,B,C,tc_fun(D,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool))|hAPP(B,E)=c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool))| -hBOOL(hAPP(hAPP(c_in(C),E),A)).
% 116.83/116.98  ** KEPT (pick-wt=16): 59 [] 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).
% 116.83/116.98  ** KEPT (pick-wt=24): 60 [] c_Set_Oimage(A,B,C,D)!=c_Set_Oimage(A,E,C,D)| -c_Fun_Oinj__on(A,c_Lattices_Oupper__semilattice__class_Osup(B,E,tc_fun(C,tc_bool)),C,D)|B=E.
% 116.83/116.98  ** KEPT (pick-wt=10): 61 [] -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).
% 116.83/116.98  ** KEPT (pick-wt=10): 62 [] -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).
% 116.83/116.98  ** KEPT (pick-wt=18): 63 [] -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,B,A,A)),c_Transitive__Closure_Otrancl(C,A)))| -c_Wellfounded_Oacyclic(C,A).
% 116.83/116.98  ** KEPT (pick-wt=9): 64 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(c_Set_Oinsert(C,A,B),B).
% 116.83/116.98  ** KEPT (pick-wt=9): 65 [] c_Finite__Set_Ofinite(c_Set_Oinsert(A,B,C),C)| -c_Finite__Set_Ofinite(B,C).
% 116.83/116.98  ** KEPT (pick-wt=10): 66 [] c_Relation_Otrans(c_Relation_Oinv__image(A,B,C,D),D)| -c_Relation_Otrans(A,C).
% 116.83/116.98  ** KEPT (pick-wt=29): 67 [] c_Lattices_Oupper__semilattice__class_Osup(hAPP(A,B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,A,D,tc_fun(E,tc_bool)),tc_fun(E,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,A,D,tc_fun(E,tc_bool))| -hBOOL(hAPP(hAPP(c_in(D),B),C)).
% 116.83/116.98  ** KEPT (pick-wt=28): 68 [] hAPP(A,c_Set_Oinsert(B,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),D))=hAPP(hAPP(E,B),C)| -c_Complete__Lattice_Ocomplete__lattice(F,A,G,H,I,E,J,K,D).
% 116.83/116.98  ** KEPT (pick-wt=28): 69 [] hAPP(A,c_Set_Oinsert(B,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),D))=hAPP(hAPP(E,B),C)| -c_Complete__Lattice_Ocomplete__lattice(A,F,G,H,E,I,J,K,D).
% 116.83/116.98  ** KEPT (pick-wt=11): 70 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OSup__class_OSup(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A)=c_Orderings_Obot__class_Obot(A).
% 116.83/116.98  ** KEPT (pick-wt=14): 71 [] c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(B,C)| -c_Finite__Set_Ofinite(A,C).
% 116.83/116.98    Following clause subsumed by 71 during input processing: 0 [] c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(B,C)| -c_Finite__Set_Ofinite(A,C).
% 116.83/116.98  ** KEPT (pick-wt=33): 72 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Ortrancl(D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Otrancl(D,A)))|B=C.
% 116.83/116.98  ** KEPT (pick-wt=33): 73 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Otrancl(D,A)))|B=C| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Ortrancl(D,A))).
% 116.83/116.98    Following clause subsumed by 73 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Otrancl(D,A)))|B=C| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Ortrancl(D,A))).
% 116.83/116.98  ** KEPT (pick-wt=33): 74 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(D,A,A),A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(C,B,A,A)),c_Transitive__Closure_Ortrancl(D,A))).
% 116.83/116.98  ** KEPT (pick-wt=33): 75 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Ortrancl(D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(C,B,A,A)),c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(D,A,A),A))).
% 116.83/116.98  ** KEPT (pick-wt=14): 76 [] 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).
% 116.83/116.98  ** KEPT (pick-wt=17): 77 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(C,B))| -hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(C,A,tc_fun(D,tc_bool)),B)).
% 116.83/116.98  ** KEPT (pick-wt=13): 78 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(B,D)).
% 116.83/116.98  ** KEPT (pick-wt=13): 79 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(A,D)).
% 116.83/116.98  ** KEPT (pick-wt=7): 80 [] c_Relation_Oantisym(A,B)| -c_Order__Relation_Opartial__order__on(C,A,B).
% 116.83/116.98  ** KEPT (pick-wt=24): 81 [] 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).
% 116.83/116.98  ** KEPT (pick-wt=17): 82 [] -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).
% 116.83/116.98  ** KEPT (pick-wt=17): 83 [] -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).
% 116.83/116.98  ** KEPT (pick-wt=17): 84 [] -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).
% 116.83/116.98  ** KEPT (pick-wt=17): 85 [] -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).
% 116.83/116.98  ** KEPT (pick-wt=19): 86 [] c_Finite__Set_Ofinite(c_Complete__Lattice_OInf__class_OInf(A,tc_fun(B,tc_bool)),B)| -c_Finite__Set_Ofinite(C,B)| -hBOOL(hAPP(hAPP(c_in(tc_fun(B,tc_bool)),C),A)).
% 116.83/116.98  ** KEPT (pick-wt=27): 87 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,C,D,tc_fun(A,tc_bool))|hAPP(C,E)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -hBOOL(hAPP(hAPP(c_in(D),E),B)).
% 116.83/116.98  ** KEPT (pick-wt=11): 88 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(B,tc_bool)),B).
% 116.83/116.98  ** KEPT (pick-wt=11): 89 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(C,A,tc_fun(B,tc_bool)),B).
% 116.83/116.98  ** KEPT (pick-wt=9): 90 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Orderings_Obot__class_Obot(A),A)=B.
% 116.83/116.98  ** KEPT (pick-wt=9): 91 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(A),B,A)=B.
% 116.83/116.98  ** KEPT (pick-wt=7): 92 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B)).
% 116.83/116.98  ** KEPT (pick-wt=25): 93 [] -hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(A),B),D))|c_Lattices_Olower__semilattice__class_Oinf(D,C,tc_fun(A,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 116.83/116.98  ** KEPT (pick-wt=16): 94 [] 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).
% 116.83/116.98  ** KEPT (pick-wt=8): 95 [] c_Relation_Oantisym(c_Transitive__Closure_Ortrancl(A,B),B)| -c_Wellfounded_Oacyclic(A,B).
% 116.83/116.98  ** KEPT (pick-wt=8): 96 [] c_Order__Relation_Opartial__order__on(A,B,C)| -c_Order__Relation_Olinear__order__on(A,B,C).
% 116.83/116.98  ** KEPT (pick-wt=11): 97 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Olower__semilattice__class_Oinf(B,C,A),A)=B.
% 116.83/116.98  ** KEPT (pick-wt=24): 98 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,B,A,A)),C))| -hBOOL(hAPP(hAPP(c_in(A),B),D))| -c_Relation_Orefl__on(D,C,A).
% 116.83/116.98  ** KEPT (pick-wt=24): 99 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(D,B,A,A)),E))| -c_Relation_Orefl__on(C,E,A).
% 116.83/116.98  ** KEPT (pick-wt=24): 100 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,D,A,A)),E))| -c_Relation_Orefl__on(C,E,A).
% 116.83/116.98    Following clause subsumed by 98 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,B,A,A)),C))| -hBOOL(hAPP(hAPP(c_in(A),B),D))| -c_Relation_Orefl__on(D,C,A).
% 116.83/116.98  ** KEPT (pick-wt=34): 101 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Relation_Oinv__image(D,E,F,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(F,F)),c_Pair(hAPP(E,B),hAPP(E,C),F,F)),D)).
% 116.83/116.98  ** KEPT (pick-wt=34): 102 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(hAPP(B,C),hAPP(B,D),A,A)),E))| -hBOOL(hAPP(hAPP(c_in(tc_prod(F,F)),c_Pair(C,D,F,F)),c_Relation_Oinv__image(E,B,A,F))).
% 116.83/116.98  ** KEPT (pick-wt=8): 103 [] c_Order__Relation_Opreorder__on(A,B,C)| -c_Order__Relation_Opartial__order__on(A,B,C).
% 116.83/116.98    Following clause subsumed by 55 during input processing: 0 [] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|hBOOL(hAPP(hAPP(c_in(C),A),B)).
% 116.83/116.98  ** KEPT (pick-wt=18): 104 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,c_COMBK(C,A,D),D,A)=C|B=c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)).
% 116.83/116.98  ** KEPT (pick-wt=11): 105 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),D))| -hBOOL(hAPP(B,D)).
% 116.83/116.98  ** KEPT (pick-wt=23): 106 [] c_Set_Oinsert(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)=c_Set_Oimage(A,C,D,E)| -hBOOL(hAPP(hAPP(c_in(D),B),C)).
% 116.83/116.98  ** KEPT (pick-wt=10): 107 [] c_Finite__Set_Ofinite(c_Relation_OField(A,B),B)| -c_Finite__Set_Ofinite(A,tc_prod(B,B)).
% 116.83/116.98  ** KEPT (pick-wt=17): 108 [] 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)).
% 116.83/116.98  ** KEPT (pick-wt=17): 109 [] 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)).
% 116.83/116.98  ** KEPT (pick-wt=13): 110 [] -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).
% 116.83/116.98  ** KEPT (pick-wt=13): 111 [] -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).
% 116.83/116.98  ** KEPT (pick-wt=11): 112 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=c_Lattices_Oupper__semilattice__class_Osup(C,B,A).
% 116.83/116.98  ** KEPT (pick-wt=11): 113 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=c_Lattices_Oupper__semilattice__class_Osup(C,B,A).
% 116.83/116.98  ** KEPT (pick-wt=29): 114 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),D))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(C,B,A,A)),D))| -c_Relation_Osym(D,A).
% 116.83/116.98    Following clause subsumed by 114 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),D))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(C,B,A,A)),D))| -c_Relation_Osym(D,A).
% 116.83/116.98  ** KEPT (pick-wt=44): 115 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,B)),c_Pair(C,D,A,B)),c_Relation_Orel__comp(E,F,A,G,B)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(G,B)),c_Pair(H,D,G,B)),F))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,G)),c_Pair(C,H,A,G)),E)).
% 116.83/116.98  ** KEPT (pick-wt=14): 116 [] -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).
% 116.83/116.98  ** KEPT (pick-wt=14): 117 [] -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).
% 116.83/116.98  ** KEPT (pick-wt=13): 118 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A)=B.
% 116.83/116.98  ** KEPT (pick-wt=5): 119 [] -class_Finite__Set_Ofinite_Ofinite(A)|c_Finite__Set_Ofinite(B,A).
% 116.83/116.98  ** KEPT (pick-wt=21): 120 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(A),B),c_Lattices_Olower__semilattice__class_Oinf(C,c_Collect(D,A),tc_fun(A,tc_bool)))).
% 116.83/116.98  ** KEPT (pick-wt=19): 121 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(B,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A),A)=c_Lattices_Oupper__semilattice__class_Osup(B,C,A).
% 116.83/116.98  ** KEPT (pick-wt=32): 122 [] -hBOOL(hAPP(hAPP(c_in(A),hAPP(B,C)),c_Set_Oimage(B,c_HOL_Ominus__class_Ominus(D,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(E,tc_bool)),E),tc_fun(E,tc_bool)),E,A)))| -c_Fun_Oinj__on(B,c_Set_Oinsert(C,D,E),E,A).
% 116.83/116.98  ** KEPT (pick-wt=35): 123 [] c_Lattices_Olower__semilattice__class_Oinf(c_Complete__Lattice_OSup__class_OSup(A,tc_fun(B,tc_bool)),C,tc_fun(B,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))|c_Lattices_Olower__semilattice__class_Oinf(D,C,tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))| -hBOOL(hAPP(hAPP(c_in(tc_fun(B,tc_bool)),D),A)).
% 116.83/116.98  ** KEPT (pick-wt=13): 124 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(C,A,tc_fun(D,tc_bool)),B)).
% 116.83/116.98  ** KEPT (pick-wt=13): 125 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_fun(D,tc_bool)),B)).
% 116.83/116.98  ** KEPT (pick-wt=15): 126 [] c_Fun_Oinj__on(A,B,C,D)| -c_Fun_Oinj__on(A,c_Lattices_Oupper__semilattice__class_Osup(E,B,tc_fun(C,tc_bool)),C,D).
% 116.83/116.98  ** KEPT (pick-wt=15): 127 [] c_Fun_Oinj__on(A,B,C,D)| -c_Fun_Oinj__on(A,c_Lattices_Oupper__semilattice__class_Osup(B,E,tc_fun(C,tc_bool)),C,D).
% 116.83/116.98  ** KEPT (pick-wt=16): 128 [] 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).
% 116.83/116.98  ** KEPT (pick-wt=8): 129 [] c_Transitive__Closure_Otrancl(A,B)=A| -c_Relation_Otrans(A,B).
% 116.83/116.98  ** KEPT (pick-wt=8): 130 [] c_Relation_Osym(c_Transitive__Closure_Otrancl(A,B),B)| -c_Relation_Osym(A,B).
% 116.83/116.98  ** KEPT (pick-wt=43): 131 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Otrancl(D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(E,C,A,A)),D))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,E,A,A)),c_Transitive__Closure_Ortrancl(D,A))).
% 116.83/116.98  ** KEPT (pick-wt=43): 132 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Otrancl(D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(E,C,A,A)),c_Transitive__Closure_Ortrancl(D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,E,A,A)),D)).
% 116.83/116.98  ** KEPT (pick-wt=41): 133 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Otrancl(D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(E,C,A,A)),D))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,E,A,A)),D)).
% 116.83/116.98  ** KEPT (pick-wt=45): 134 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Otrancl(D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(E,C,A,A)),c_Transitive__Closure_Otrancl(D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,E,A,A)),c_Transitive__Closure_Otrancl(D,A))).
% 116.83/116.98  ** KEPT (pick-wt=11): 135 [] c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(B,C).
% 116.83/116.98  ** KEPT (pick-wt=11): 136 [] c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(A,C).
% 116.83/116.98  ** KEPT (pick-wt=19): 137 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(B,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A),A)=c_Lattices_Olower__semilattice__class_Oinf(B,C,A).
% 116.83/116.98  ** KEPT (pick-wt=26): 138 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Lattices_Olower__semilattice__class_Oinf(C,D,tc_fun(A,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(A),B),D))| -hBOOL(hAPP(hAPP(c_in(A),B),C)).
% 116.83/116.98    Following clause subsumed by 138 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Lattices_Olower__semilattice__class_Oinf(C,D,tc_fun(A,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(A),B),D))| -hBOOL(hAPP(hAPP(c_in(A),B),C)).
% 116.83/116.98  ** KEPT (pick-wt=24): 139 [] hBOOL(hAPP(hAPP(c_in(A),B),c_SetInterval_Oord_OatLeastLessThan(C,D,E,F,A)))| -hBOOL(hAPP(hAPP(D,B),F))| -hBOOL(hAPP(hAPP(C,E),B)).
% 116.83/116.98  ** KEPT (pick-wt=17): 140 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(C,D,A)))| -hBOOL(hAPP(hAPP(c_in(A),B),D)).
% 116.83/116.98    Following clause subsumed by 140 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(C,D,A)))| -hBOOL(hAPP(hAPP(c_in(A),B),D)).
% 116.83/116.98  ** KEPT (pick-wt=23): 141 [] hBOOL(hAPP(hAPP(c_in(A),B),c_SetInterval_Oord_OatLeastAtMost(C,D,E,A)))| -hBOOL(hAPP(hAPP(C,B),E))| -hBOOL(hAPP(hAPP(C,D),B)).
% 116.83/116.98  ** KEPT (pick-wt=19): 142 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Lattices_Oupper__semilattice__class_Osup(C,D,tc_fun(A,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(A),B),C)).
% 116.83/116.98  ** KEPT (pick-wt=19): 143 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Lattices_Oupper__semilattice__class_Osup(C,D,tc_fun(A,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(A),B),D)).
% 116.83/116.98  ** KEPT (pick-wt=10): 144 [] -hBOOL(hAPP(hAPP(c_in(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))).
% 116.83/116.98    Following clause subsumed by 144 during input processing: 0 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_in(C),B),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)))).
% 116.83/116.98    Following clause subsumed by 144 during input processing: 0 [] -hBOOL(hAPP(hAPP(c_in(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))).
% 116.83/116.98    Following clause subsumed by 144 during input processing: 0 [] -hBOOL(hAPP(hAPP(c_in(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))).
% 116.83/116.98  ** KEPT (pick-wt=20): 145 [] hBOOL(hAPP(hAPP(c_in(A),B),C))|B=D| -hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(D,C,A))).
% 116.83/116.98  ** KEPT (pick-wt=26): 146 [] hBOOL(hAPP(hAPP(c_in(A),B),C))|hBOOL(hAPP(hAPP(c_in(A),B),D))| -hBOOL(hAPP(hAPP(c_in(A),B),c_Lattices_Oupper__semilattice__class_Osup(D,C,tc_fun(A,tc_bool)))).
% 116.83/116.98  ** KEPT (pick-wt=19): 147 [] -hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(A),B),c_HOL_Ominus__class_Ominus(D,C,tc_fun(A,tc_bool)))).
% 116.83/116.98  ** KEPT (pick-wt=19): 148 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(A),B),c_HOL_Ominus__class_Ominus(C,D,tc_fun(A,tc_bool)))).
% 116.83/116.98  ** KEPT (pick-wt=18): 149 [] hBOOL(hAPP(A,c_ATP__Linkup_Osko__Set__XbexI__1__1(B,A,C)))| -hBOOL(hAPP(hAPP(c_in(C),D),B))| -hBOOL(hAPP(A,D)).
% 116.83/116.98  ** KEPT (pick-wt=18): 150 [] hBOOL(hAPP(A,c_ATP__Linkup_Osko__Set__XbexE__1__1(B,A,C)))| -hBOOL(hAPP(A,D))| -hBOOL(hAPP(hAPP(c_in(C),D),B)).
% 116.83/116.98  ** KEPT (pick-wt=27): 151 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_in(C),B),D))| -hBOOL(hAPP(A,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(D,E,A,C)))| -hBOOL(hAPP(E,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(D,E,A,C))).
% 116.83/116.98  ** KEPT (pick-wt=27): 152 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_in(C),B),D))| -hBOOL(hAPP(E,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(D,A,E,C)))| -hBOOL(hAPP(A,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(D,A,E,C))).
% 116.83/116.98  ** KEPT (pick-wt=21): 153 [] -hBOOL(hAPP(hAPP(c_in(A),B),C))|hBOOL(hAPP(D,B))|hBOOL(hAPP(hAPP(c_in(A),c_ATP__Linkup_Osko__Set__XballE__1__1(C,D,A)),C)).
% 116.83/116.98  ** KEPT (pick-wt=19): 154 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(A),B),c_Lattices_Olower__semilattice__class_Oinf(D,C,tc_fun(A,tc_bool)))).
% 116.83/116.98  ** KEPT (pick-wt=19): 155 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(A),B),c_Lattices_Olower__semilattice__class_Oinf(C,D,tc_fun(A,tc_bool)))).
% 116.83/116.98  ** KEPT (pick-wt=44): 156 [] hAPP(A,c_FuncSet_Osko__FuncSet__XextensionalityI__1__1(B,A,C,D,E))!=hAPP(C,c_FuncSet_Osko__FuncSet__XextensionalityI__1__1(B,A,C,D,E))| -hBOOL(hAPP(hAPP(c_in(tc_fun(D,E)),C),c_FuncSet_Oextensional(B,D,E)))| -hBOOL(hAPP(hAPP(c_in(tc_fun(D,E)),A),c_FuncSet_Oextensional(B,D,E)))|A=C.
% 116.83/116.98  ** KEPT (pick-wt=12): 157 [] c_Collect(A,B)!=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))| -hBOOL(hAPP(A,C)).
% 116.83/116.98  ** KEPT (pick-wt=17): 158 [] A=B| -hBOOL(hAPP(hAPP(c_in(tc_prod(C,C)),c_Pair(A,B,C,C)),c_Relation_OId(C))).
% 116.83/116.98  ** KEPT (pick-wt=11): 159 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A)=B.
% 116.83/116.98  ** KEPT (pick-wt=24): 160 [] 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).
% 116.83/116.98  ** KEPT (pick-wt=10): 161 [] c_Finite__Set_Ofinite(c_Set_Oimage(A,B,C,D),D)| -c_Finite__Set_Ofinite(B,C).
% 116.83/116.98  ** KEPT (pick-wt=18): 162 [] A=B| -hBOOL(hAPP(hAPP(c_in(tc_prod(C,C)),c_Pair(A,B,C,C)),c_Relation_OId__on(D,C))).
% 116.83/116.98  ** KEPT (pick-wt=22): 163 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,B,A,A)),c_Relation_OId__on(C,A)))| -hBOOL(hAPP(hAPP(c_in(A),B),C)).
% 116.83/116.98  ** KEPT (pick-wt=22): 164 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,D,A,A)),c_Relation_OId__on(C,A))).
% 116.83/116.98  ** KEPT (pick-wt=27): 165 [] 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.
% 116.83/116.98  ** KEPT (pick-wt=27): 166 [] 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.
% 116.83/116.98  ** KEPT (pick-wt=27): 167 [] 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.
% 116.83/116.98  ** KEPT (pick-wt=27): 168 [] 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.
% 116.83/116.98  ** KEPT (pick-wt=20): 169 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),B),c_Transitive__Closure_Ortrancl(C,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),B),C)).
% 116.83/116.98  ** KEPT (pick-wt=32): 170 [] A=B| -hBOOL(hAPP(hAPP(c_in(tc_prod(C,C)),c_Pair(B,A,C,C)),D))| -hBOOL(hAPP(hAPP(c_in(tc_prod(C,C)),c_Pair(A,B,C,C)),D))| -c_Relation_Oantisym(D,C).
% 116.83/116.98    Following clause subsumed by 170 during input processing: 0 [] A=B| -hBOOL(hAPP(hAPP(c_in(tc_prod(C,C)),c_Pair(B,A,C,C)),D))| -hBOOL(hAPP(hAPP(c_in(tc_prod(C,C)),c_Pair(A,B,C,C)),D))| -c_Relation_Oantisym(D,C).
% 116.83/116.98  ** KEPT (pick-wt=7): 171 [] c_Relation_Otrans(A,B)| -c_Order__Relation_Opreorder__on(C,A,B).
% 116.83/116.98  ** KEPT (pick-wt=27): 172 [] hBOOL(hAPP(hAPP(c_in(A),c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(B,C,D,A)),c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(A,tc_bool))))| -hBOOL(hAPP(D,E))| -hBOOL(hAPP(hAPP(c_in(A),E),B)).
% 116.83/116.98  ** KEPT (pick-wt=27): 173 [] hBOOL(hAPP(hAPP(c_in(A),c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(B,C,D,A)),c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(A,tc_bool))))| -hBOOL(hAPP(D,E))| -hBOOL(hAPP(hAPP(c_in(A),E),C)).
% 116.83/116.98  ** KEPT (pick-wt=8): 174 [] c_Relation_Ototal__on(A,B,C)| -c_Order__Relation_Olinear__order__on(A,B,C).
% 116.83/116.98  ** KEPT (pick-wt=30): 175 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Ortrancl(D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Otrancl(D,A))).
% 116.83/116.98  ** KEPT (pick-wt=24): 176 [] hAPP(A,c_Set_Oinsert(B,C,D))=hAPP(hAPP(E,B),hAPP(A,C))| -c_Complete__Lattice_Ocomplete__lattice(F,A,G,H,I,E,J,K,D).
% 116.83/116.98  ** KEPT (pick-wt=24): 177 [] hAPP(A,c_Set_Oinsert(B,C,D))=hAPP(hAPP(E,B),hAPP(A,C))| -c_Complete__Lattice_Ocomplete__lattice(A,F,G,H,E,I,J,K,D).
% 116.83/116.98  ** KEPT (pick-wt=38): 178 [] hBOOL(hAPP(hAPP(c_in(A),c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3(B,C,D,E,A)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,C,E,tc_fun(A,tc_bool))))| -hBOOL(hAPP(D,F))| -hBOOL(hAPP(hAPP(c_in(A),F),hAPP(C,G)))| -hBOOL(hAPP(hAPP(c_in(E),G),B)).
% 116.83/116.98  ** KEPT (pick-wt=45): 179 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Otrancl(D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(E,C,A,A)),c_Transitive__Closure_Ortrancl(D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,E,A,A)),c_Transitive__Closure_Otrancl(D,A))).
% 116.83/116.98  ** KEPT (pick-wt=45): 180 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Otrancl(D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(E,C,A,A)),c_Transitive__Closure_Otrancl(D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,E,A,A)),c_Transitive__Closure_Ortrancl(D,A))).
% 116.83/116.98  ** KEPT (pick-wt=45): 181 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Ortrancl(D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(E,C,A,A)),c_Transitive__Closure_Ortrancl(D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,E,A,A)),c_Transitive__Closure_Ortrancl(D,A))).
% 116.83/116.99  ** KEPT (pick-wt=9): 182 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 116.83/116.99  ** KEPT (pick-wt=28): 183 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Otrancl(D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),D)).
% 116.83/116.99  ** KEPT (pick-wt=26): 185 [copy,184,flip.1] c_Set_Oinsert(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),D)=c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(A,B,D),C,tc_fun(D,tc_bool))| -hBOOL(hAPP(hAPP(c_in(D),A),C)).
% 116.83/116.99  ** KEPT (pick-wt=26): 187 [copy,186,flip.1] c_Set_Oinsert(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),D)=c_Lattices_Olower__semilattice__class_Oinf(B,c_Set_Oinsert(A,C,D),tc_fun(D,tc_bool))| -hBOOL(hAPP(hAPP(c_in(D),A),B)).
% 116.83/116.99  ** KEPT (pick-wt=43): 188 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Ortrancl(D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(E,C,A,A)),c_Transitive__Closure_Ortrancl(D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,E,A,A)),D)).
% 116.83/116.99  ** KEPT (pick-wt=43): 189 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Ortrancl(D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(E,C,A,A)),D))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,E,A,A)),c_Transitive__Closure_Ortrancl(D,A))).
% 116.83/116.99  ** KEPT (pick-wt=43): 190 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Otrancl(D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(E,C,A,A)),c_Transitive__Closure_Otrancl(D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,E,A,A)),D)).
% 116.83/116.99  ** KEPT (pick-wt=43): 191 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Otrancl(D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(E,C,A,A)),D))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,E,A,A)),c_Transitive__Closure_Otrancl(D,A))).
% 116.83/116.99  ** KEPT (pick-wt=22): 192 [] hAPP(A,B)=C| -hBOOL(hAPP(hAPP(c_in(D),B),c_Set_Ovimage(A,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(E,tc_bool)),E),D,E))).
% 116.83/116.99  ** KEPT (pick-wt=20): 193 [] -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).
% 116.83/116.99  ** KEPT (pick-wt=20): 194 [] -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).
% 116.83/116.99  ** KEPT (pick-wt=12): 195 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Collect(B,A)| -hBOOL(hAPP(B,C)).
% 116.83/116.99  ** KEPT (pick-wt=14): 196 [] -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).
% 116.83/116.99  ** KEPT (pick-wt=14): 197 [] -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).
% 116.83/116.99  ** KEPT (pick-wt=20): 198 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),B),c_Transitive__Closure_Otrancl(C,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),B),C)).
% 116.83/116.99  ** KEPT (pick-wt=19): 199 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool)),C).
% 116.83/116.99  ** KEPT (pick-wt=19): 200 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool)),D)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,C,tc_fun(D,tc_bool)),D).
% 116.83/116.99  ** KEPT (pick-wt=29): 201 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,B)),c_Pair(C,D,A,B)),E))| -hBOOL(hAPP(hAPP(c_in(tc_prod(B,A)),c_Pair(D,C,B,A)),c_Relation_Oconverse(E,A,B))).
% 116.83/116.99  ** KEPT (pick-wt=29): 202 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,B)),c_Pair(C,D,A,B)),c_Relation_Oconverse(E,B,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(B,A)),c_Pair(D,C,B,A)),E)).
% 116.83/116.99    Following clause subsumed by 202 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,B)),c_Pair(C,D,A,B)),c_Relation_Oconverse(E,B,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(B,A)),c_Pair(D,C,B,A)),E)).
% 116.83/116.99  ** KEPT (pick-wt=42): 203 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),D))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(E,C,A,A)),D))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,E,A,A)),D))| -c_Relation_Otrans(D,A).
% 116.83/116.99    Following clause subsumed by 203 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),D))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(E,C,A,A)),D))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,E,A,A)),D))| -c_Relation_Otrans(D,A).
% 116.83/116.99  ** KEPT (pick-wt=18): 204 [] hAPP(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)))=C| -c_Complete__Lattice_Ocomplete__lattice(D,A,E,F,G,H,C,I,B).
% 116.83/116.99  ** KEPT (pick-wt=18): 205 [] hAPP(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)))=C| -c_Complete__Lattice_Ocomplete__lattice(A,D,E,F,G,H,I,C,B).
% 116.83/116.99  ** KEPT (pick-wt=24): 206 [] 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| -hBOOL(hAPP(hAPP(c_in(C),A),B)).
% 116.83/116.99  ** KEPT (pick-wt=8): 207 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,B,A)=B.
% 116.83/116.99  ** KEPT (pick-wt=8): 208 [] c_Relation_Orefl__on(A,B,C)| -c_Order__Relation_Opreorder__on(A,B,C).
% 116.83/116.99  ** KEPT (pick-wt=13): 209 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A)=B.
% 116.83/116.99  ** KEPT (pick-wt=16): 210 [] 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)).
% 116.83/116.99  ** KEPT (pick-wt=21): 211 [] hAPP(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C))=B| -c_Complete__Lattice_Ocomplete__lattice(D,A,E,F,G,H,I,J,C).
% 116.83/116.99  ** KEPT (pick-wt=21): 212 [] hAPP(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C))=B| -c_Complete__Lattice_Ocomplete__lattice(A,D,E,F,G,H,I,J,C).
% 116.83/116.99  ** KEPT (pick-wt=14): 213 [] c_Pair(A,B,C,D)!=c_Pair(E,F,C,D)|A=E.
% 116.83/116.99  ** KEPT (pick-wt=14): 214 [] c_Pair(A,B,C,D)!=c_Pair(E,F,C,D)|B=F.
% 116.83/116.99  ** KEPT (pick-wt=25): 215 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Lattices_Olower__semilattice__class_Oinf(C,c_Collect(D,A),tc_fun(A,tc_bool))))| -hBOOL(hAPP(D,B))| -hBOOL(hAPP(hAPP(c_in(A),B),C)).
% 116.83/116.99  ** KEPT (pick-wt=14): 216 [] hBOOL(hAPP(A,hAPP(B,C)))| -hBOOL(hAPP(c_Set_Ovimage(B,A,D,E),C)).
% 116.83/116.99  ** KEPT (pick-wt=14): 217 [] hBOOL(hAPP(c_Set_Ovimage(A,B,C,D),E))| -hBOOL(hAPP(B,hAPP(A,E))).
% 116.83/116.99  ** KEPT (pick-wt=17): 218 [] hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(B,D))| -hBOOL(hAPP(A,D)).
% 116.83/116.99  ** KEPT (pick-wt=15): 219 [] c_Finite__Set_Ofinite(A,B)| -c_Fun_Oinj__on(C,A,B,D)| -c_Finite__Set_Ofinite(c_Set_Oimage(C,A,B,D),D).
% 116.83/116.99  ** KEPT (pick-wt=36): 220 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Relation_Oconverse(c_Transitive__Closure_Otrancl(D,A),A,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Otrancl(c_Relation_Oconverse(D,A,A),A))).
% 116.83/116.99  ** KEPT (pick-wt=36): 221 [] hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Otrancl(c_Relation_Oconverse(D,A,A),A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Relation_Oconverse(c_Transitive__Closure_Otrancl(D,A),A,A))).
% 116.83/116.99  ** KEPT (pick-wt=11): 222 [] c_Order__Relation_Opreorder__on(A,B,C)| -c_Relation_Otrans(B,C)| -c_Relation_Orefl__on(A,B,C).
% 116.83/116.99  ** KEPT (pick-wt=29): 223 [] hAPP(A,B)!=hAPP(A,C)| -hBOOL(hAPP(hAPP(c_in(D),C),E))| -hBOOL(hAPP(hAPP(c_in(D),B),E))|B=C| -c_Fun_Oinj__on(A,E,D,F).
% 116.83/116.99    Following clause subsumed by 223 during input processing: 0 [] hAPP(A,B)!=hAPP(A,C)| -hBOOL(hAPP(hAPP(c_in(D),C),E))| -hBOOL(hAPP(hAPP(c_in(D),B),E))| -c_Fun_Oinj__on(A,E,D,F)|B=C.
% 116.83/116.99    Following clause subsumed by 223 during input processing: 0 [] hAPP(A,B)!=hAPP(A,C)| -hBOOL(hAPP(hAPP(c_in(D),C),E))| -hBOOL(hAPP(hAPP(c_in(D),B),E))| -c_Fun_Oinj__on(A,E,D,F)|B=C.
% 116.83/116.99    Following clause subsumed by 223 during input processing: 0 [] hAPP(A,B)!=hAPP(A,C)| -c_Fun_Oinj__on(A,D,E,F)|B=C| -hBOOL(hAPP(hAPP(c_in(E),C),D))| -hBOOL(hAPP(hAPP(c_in(E),B),D)).
% 116.83/116.99    Following clause subsumed by 144 during input processing: 0 [] -hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_in(C),B),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)))).
% 116.83/116.99  ** KEPT (pick-wt=24): 224 [] hAPP(c_COMBC(c_in(A),A,tc_fun(A,tc_bool),tc_bool),B)!=hAPP(c_COMBC(c_in(A),A,tc_fun(A,tc_bool),tc_bool),C)|B=C.
% 116.83/116.99  ** KEPT (pick-wt=13): 225 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Collect(C,A)))| -hBOOL(hAPP(C,B)).
% 116.83/116.99  ** KEPT (pick-wt=13): 226 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_in(C),B),c_Collect(A,C))).
% 116.83/116.99  ** KEPT (pick-wt=16): 227 [] hBOOL(hAPP(hAPP(c_in(A),B),c_SetInterval_Oord_OatMost(C,D,A)))| -hBOOL(hAPP(hAPP(C,B),D)).
% 116.83/116.99  ** KEPT (pick-wt=16): 228 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(c_in(D),B),c_SetInterval_Oord_OatMost(A,C,D))).
% 116.83/116.99  ** KEPT (pick-wt=26): 229 [] hBOOL(hAPP(hAPP(c_in(A),B),c_HOL_Ominus__class_Ominus(C,D,tc_fun(A,tc_bool))))|hBOOL(hAPP(hAPP(c_in(A),B),D))| -hBOOL(hAPP(hAPP(c_in(A),B),C)).
% 116.83/116.99    Following clause subsumed by 229 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),c_HOL_Ominus__class_Ominus(C,D,tc_fun(A,tc_bool))))|hBOOL(hAPP(hAPP(c_in(A),B),D))| -hBOOL(hAPP(hAPP(c_in(A),B),C)).
% 116.83/116.99  ** KEPT (pick-wt=22): 230 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_in(C),B),D))|hBOOL(hAPP(hAPP(c_in(C),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(D,E,A,C)),D)).
% 116.83/116.99  ** KEPT (pick-wt=22): 231 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_in(C),B),D))|hBOOL(hAPP(hAPP(c_in(C),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(D,A,E,C)),D)).
% 116.83/116.99  ** KEPT (pick-wt=18): 232 [] -hBOOL(hAPP(hAPP(c_in(A),B),C))|hBOOL(hAPP(D,B))| -hBOOL(hAPP(D,c_ATP__Linkup_Osko__Set__XballE__1__1(C,D,A))).
% 116.83/116.99  ** KEPT (pick-wt=26): 233 [] c_Set_Oinsert(A,B,C)!=c_Set_Oinsert(A,D,C)|hBOOL(hAPP(hAPP(c_in(C),A),D))|hBOOL(hAPP(hAPP(c_in(C),A),B))|B=D.
% 116.83/116.99  ** KEPT (pick-wt=21): 234 [] hBOOL(hAPP(hAPP(c_in(A),c_ATP__Linkup_Osko__Set__XbexI__1__1(B,C,A)),B))| -hBOOL(hAPP(hAPP(c_in(A),D),B))| -hBOOL(hAPP(C,D)).
% 116.83/116.99  ** KEPT (pick-wt=29): 235 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,D,E,tc_fun(A,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(A),B),hAPP(D,F)))| -hBOOL(hAPP(hAPP(c_in(E),F),C)).
% 116.83/116.99    Following clause subsumed by 235 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,D,E,tc_fun(A,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(A),B),hAPP(D,F)))| -hBOOL(hAPP(hAPP(c_in(E),F),C)).
% 116.83/116.99  ** KEPT (pick-wt=16): 236 [] hBOOL(hAPP(hAPP(c_in(A),B),c_SetInterval_Oord_OgreaterThan(C,D,A)))| -hBOOL(hAPP(hAPP(C,D),B)).
% 116.83/116.99  ** KEPT (pick-wt=16): 237 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(c_in(D),C),c_SetInterval_Oord_OgreaterThan(A,B,D))).
% 116.83/116.99  ** KEPT (pick-wt=29): 238 [] hBOOL(hAPP(A,c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3(B,C,A,D,E)))| -hBOOL(hAPP(A,F))| -hBOOL(hAPP(hAPP(c_in(E),F),hAPP(C,G)))| -hBOOL(hAPP(hAPP(c_in(D),G),B)).
% 116.83/116.99  ** KEPT (pick-wt=20): 239 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Ovimage(C,D,A,E)))| -hBOOL(hAPP(hAPP(c_in(E),hAPP(C,B)),D)).
% 116.83/116.99    Following clause subsumed by 239 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Ovimage(C,D,A,E)))| -hBOOL(hAPP(hAPP(c_in(E),hAPP(C,B)),D)).
% 116.83/116.99    Following clause subsumed by 239 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Ovimage(C,D,A,E)))| -hBOOL(hAPP(hAPP(c_in(E),hAPP(C,B)),D)).
% 116.83/116.99  ** KEPT (pick-wt=20): 240 [] hBOOL(hAPP(hAPP(c_in(A),hAPP(B,C)),D))| -hBOOL(hAPP(hAPP(c_in(E),C),c_Set_Ovimage(B,D,E,A))).
% 116.83/116.99    Following clause subsumed by 240 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),hAPP(B,C)),D))| -hBOOL(hAPP(hAPP(c_in(E),C),c_Set_Ovimage(B,D,E,A))).
% 116.83/116.99  ** KEPT (pick-wt=25): 241 [] hBOOL(hAPP(hAPP(A,hAPP(B,C)),D))| -hBOOL(hAPP(hAPP(c_in(E),D),C))| -c_Complete__Lattice_Ocomplete__lattice(B,F,A,G,H,I,J,K,E).
% 116.83/116.99  ** KEPT (pick-wt=25): 242 [] hBOOL(hAPP(hAPP(A,B),hAPP(C,D)))| -hBOOL(hAPP(hAPP(c_in(E),B),D))| -c_Complete__Lattice_Ocomplete__lattice(F,C,A,G,H,I,J,K,E).
% 116.83/116.99  ** KEPT (pick-wt=17): 243 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(c_in(D),B),c_SetInterval_Oord_OatLeastAtMost(A,E,C,D))).
% 116.95/116.99  ** KEPT (pick-wt=17): 244 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(c_in(D),C),c_SetInterval_Oord_OatLeastAtMost(A,B,E,D))).
% 116.95/116.99  ** KEPT (pick-wt=19): 245 [] hBOOL(hAPP(A,c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(B,C,A,D)))| -hBOOL(hAPP(A,E))| -hBOOL(hAPP(hAPP(c_in(D),E),C)).
% 116.95/116.99  ** KEPT (pick-wt=19): 246 [] hBOOL(hAPP(A,c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(B,C,A,D)))| -hBOOL(hAPP(A,E))| -hBOOL(hAPP(hAPP(c_in(D),E),B)).
% 116.95/116.99  ** KEPT (pick-wt=21): 247 [] hBOOL(hAPP(hAPP(c_in(A),c_ATP__Linkup_Osko__Set__XbexE__1__1(B,C,A)),B))| -hBOOL(hAPP(C,D))| -hBOOL(hAPP(hAPP(c_in(A),D),B)).
% 116.95/116.99  ** KEPT (pick-wt=13): 248 [] c_Set_Oinsert(A,B,C)=B| -hBOOL(hAPP(hAPP(c_in(C),A),B)).
% 116.95/116.99  ** KEPT (pick-wt=16): 249 [] hBOOL(hAPP(hAPP(c_in(A),B),c_SetInterval_Oord_OlessThan(C,D,A)))| -hBOOL(hAPP(hAPP(C,B),D)).
% 116.95/116.99  ** KEPT (pick-wt=16): 250 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(c_in(D),B),c_SetInterval_Oord_OlessThan(A,C,D))).
% 116.95/116.99  ** KEPT (pick-wt=29): 251 [] hBOOL(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,B,C,tc_fun(D,tc_fun(E,tc_bool))),F),G))| -hBOOL(hAPP(hAPP(hAPP(B,H),F),G))| -hBOOL(hAPP(hAPP(c_in(C),H),A)).
% 116.95/116.99  ** KEPT (pick-wt=23): 252 [] hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,B,C,tc_fun(D,tc_bool)),E))| -hBOOL(hAPP(hAPP(B,F),E))| -hBOOL(hAPP(hAPP(c_in(C),F),A)).
% 116.95/116.99    Following clause subsumed by 251 during input processing: 0 [] hBOOL(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,B,C,tc_fun(D,tc_fun(E,tc_bool))),F),G))| -hBOOL(hAPP(hAPP(hAPP(B,H),F),G))| -hBOOL(hAPP(hAPP(c_in(C),H),A)).
% 116.95/116.99    Following clause subsumed by 252 during input processing: 0 [] hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,B,C,tc_fun(D,tc_bool)),E))| -hBOOL(hAPP(hAPP(B,F),E))| -hBOOL(hAPP(hAPP(c_in(C),F),A)).
% 116.95/116.99  ** KEPT (pick-wt=18): 253 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(c_in(D),B),c_SetInterval_Oord_OatLeastLessThan(E,A,F,C,D))).
% 116.95/116.99  ** KEPT (pick-wt=18): 254 [] hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(c_in(D),C),c_SetInterval_Oord_OatLeastLessThan(A,E,B,F,D))).
% 116.95/116.99  ** KEPT (pick-wt=21): 255 [] hBOOL(hAPP(hAPP(c_in(A),c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1(B,C,A)),B))| -hBOOL(hAPP(C,D))| -hBOOL(hAPP(hAPP(c_in(A),D),B)).
% 116.95/116.99  ** KEPT (pick-wt=18): 256 [] hBOOL(hAPP(A,c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1(B,A,C)))| -hBOOL(hAPP(A,D))| -hBOOL(hAPP(hAPP(c_in(C),D),B)).
% 116.95/116.99  ** KEPT (pick-wt=20): 257 [] -hBOOL(hAPP(hAPP(c_in(A),B),C))|hBOOL(hAPP(hAPP(c_in(D),hAPP(E,B)),c_Set_Oimage(E,C,A,D))).
% 116.95/116.99    Following clause subsumed by 257 during input processing: 0 [] -hBOOL(hAPP(hAPP(c_in(A),B),C))|hBOOL(hAPP(hAPP(c_in(D),hAPP(E,B)),c_Set_Oimage(E,C,A,D))).
% 116.95/116.99    Following clause subsumed by 257 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),hAPP(B,C)),c_Set_Oimage(B,D,E,A)))| -hBOOL(hAPP(hAPP(c_in(E),C),D)).
% 116.95/116.99    Following clause subsumed by 257 during input processing: 0 [] hBOOL(hAPP(hAPP(c_in(A),hAPP(B,C)),c_Set_Oimage(B,D,E,A)))| -hBOOL(hAPP(hAPP(c_in(E),C),D)).
% 116.95/116.99  ** KEPT (pick-wt=25): 258 [] hAPP(A,B)=c_HOL_Oundefined(C)|hBOOL(hAPP(hAPP(c_in(D),B),E))| -hBOOL(hAPP(hAPP(c_in(tc_fun(D,C)),A),c_FuncSet_Oextensional(E,D,C))).
% 116.95/116.99  ** KEPT (pick-wt=34): 259 [] hBOOL(hAPP(hAPP(c_in(tc_fun(A,B)),C),c_FuncSet_OPi(D,E,A,B)))| -hBOOL(hAPP(hAPP(c_in(B),hAPP(C,c_FuncSet_Osko__FuncSet__XPi__I__1__1(D,E,C,A,B))),hAPP(E,c_FuncSet_Osko__FuncSet__XPi__I__1__1(D,E,C,A,B)))).
% 116.95/116.99  ** KEPT (pick-wt=39): 260 [] A=B|hBOOL(hAPP(hAPP(c_in(C),c_FuncSet_Osko__FuncSet__XextensionalityI__1__1(D,A,B,C,E)),D))| -hBOOL(hAPP(hAPP(c_in(tc_fun(C,E)),B),c_FuncSet_Oextensional(D,C,E)))| -hBOOL(hAPP(hAPP(c_in(tc_fun(C,E)),A),c_FuncSet_Oextensional(D,C,E))).
% 116.95/116.99  ** KEPT (pick-wt=34): 261 [] hBOOL(hAPP(hAPP(c_in(A),hAPP(B,C)),D))| -hBOOL(hAPP(hAPP(c_in(E),C),F))| -hBOOL(hAPP(hAPP(c_in(tc_fun(E,A)),B),c_FuncSet_OPi(F,c_COMBK(D,tc_fun(A,tc_bool),E),E,A))).
% 116.95/116.99  ** KEPT (pick-wt=34): 262 [] hBOOL(hAPP(hAPP(c_in(tc_fun(A,B)),C),c_FuncSet_OPi(D,E,A,B)))| -hBOOL(hAPP(hAPP(c_in(B),hAPP(C,c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(D,E,C,A,B))),hAPP(E,c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(D,E,C,A,B)))).
% 116.95/116.99  ** KEPT (pick-wt=23): 263 [] hBOOL(hAPP(hAPP(c_in(tc_fun(A,tc_bool)),c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1(B,C,A)),C))| -hBOOL(hAPP(hAPP(c_in(A),B),c_Complete__Lattice_OSup__class_OSup(C,tc_fun(A,tc_bool)))).
% 116.95/117.00  ** KEPT (pick-wt=23): 264 [] hBOOL(hAPP(hAPP(c_in(A),c_List_Osko__Equiv__Relations__XquotientE__1__1(B,C,D,A)),B))| -hBOOL(hAPP(hAPP(c_in(tc_fun(A,tc_bool)),C),c_Equiv__Relations_Oquotient(B,D,A))).
% 116.95/117.00  ** KEPT (pick-wt=11): 265 [] c_Order__Relation_Opartial__order__on(A,B,C)| -c_Order__Relation_Opartial__order__on(A,c_Relation_Oconverse(B,C,C),C).
% 116.95/117.00  ** KEPT (pick-wt=11): 266 [] c_Order__Relation_Opartial__order__on(A,c_Relation_Oconverse(B,C,C),C)| -c_Order__Relation_Opartial__order__on(A,B,C).
% 116.95/117.00  ** KEPT (pick-wt=11): 267 [] c_Relation_Ototal__on(A,c_Relation_Oconverse(B,C,C),C)| -c_Relation_Ototal__on(A,B,C).
% 116.95/117.00  ** KEPT (pick-wt=11): 268 [] c_Relation_Ototal__on(A,B,C)| -c_Relation_Ototal__on(A,c_Relation_Oconverse(B,C,C),C).
% 116.95/117.00  ** KEPT (pick-wt=11): 269 [] c_Order__Relation_Olinear__order__on(A,B,C)| -c_Order__Relation_Olinear__order__on(A,c_Relation_Oconverse(B,C,C),C).
% 116.95/117.00  ** KEPT (pick-wt=11): 270 [] c_Order__Relation_Olinear__order__on(A,c_Relation_Oconverse(B,C,C),C)| -c_Order__Relation_Olinear__order__on(A,B,C).
% 116.95/117.00  ** KEPT (pick-wt=11): 271 [] c_Order__Relation_Opreorder__on(A,c_Relation_Oconverse(B,C,C),C)| -c_Order__Relation_Opreorder__on(A,B,C).
% 116.95/117.00  ** KEPT (pick-wt=11): 272 [] c_Order__Relation_Opreorder__on(A,B,C)| -c_Order__Relation_Opreorder__on(A,c_Relation_Oconverse(B,C,C),C).
% 116.95/117.00  ** KEPT (pick-wt=9): 273 [] c_Wellfounded_Oacyclic(c_Relation_Oconverse(A,B,B),B)| -c_Wellfounded_Oacyclic(A,B).
% 116.95/117.00  ** KEPT (pick-wt=9): 274 [] c_Wellfounded_Oacyclic(A,B)| -c_Wellfounded_Oacyclic(c_Relation_Oconverse(A,B,B),B).
% 116.95/117.00  ** KEPT (pick-wt=9): 275 [] c_Relation_Oantisym(c_Relation_Oconverse(A,B,B),B)| -c_Relation_Oantisym(A,B).
% 116.95/117.00  ** KEPT (pick-wt=9): 276 [] c_Relation_Oantisym(A,B)| -c_Relation_Oantisym(c_Relation_Oconverse(A,B,B),B).
% 116.95/117.00  ** KEPT (pick-wt=9): 277 [] c_Relation_Otrans(c_Relation_Oconverse(A,B,B),B)| -c_Relation_Otrans(A,B).
% 116.95/117.00  ** KEPT (pick-wt=9): 278 [] c_Relation_Otrans(A,B)| -c_Relation_Otrans(c_Relation_Oconverse(A,B,B),B).
% 116.95/117.00  ** KEPT (pick-wt=9): 279 [] c_Relation_Oconverse(A,B,B)!=A|c_Relation_Osym(A,B).
% 116.95/117.00  ** KEPT (pick-wt=9): 280 [] c_Relation_Oconverse(A,B,B)=A| -c_Relation_Osym(A,B).
% 116.95/117.00  ** KEPT (pick-wt=11): 281 [] c_Relation_Orefl__on(A,c_Relation_Oconverse(B,C,C),C)| -c_Relation_Orefl__on(A,B,C).
% 116.95/117.00  ** KEPT (pick-wt=11): 282 [] c_Relation_Orefl__on(A,B,C)| -c_Relation_Orefl__on(A,c_Relation_Oconverse(B,C,C),C).
% 116.95/117.00  ** KEPT (pick-wt=13): 283 [] c_Finite__Set_Ofinite(c_Relation_Oconverse(A,B,C),tc_prod(C,B))| -c_Finite__Set_Ofinite(A,tc_prod(B,C)).
% 116.95/117.00  ** KEPT (pick-wt=13): 284 [] c_Finite__Set_Ofinite(A,tc_prod(B,C))| -c_Finite__Set_Ofinite(c_Relation_Oconverse(A,B,C),tc_prod(C,B)).
% 116.95/117.00  ** KEPT (pick-wt=9): 285 [] c_Relation_Osym(c_Relation_Oconverse(A,B,B),B)| -c_Relation_Osym(A,B).
% 116.95/117.00  ** KEPT (pick-wt=9): 286 [] c_Relation_Osym(A,B)| -c_Relation_Osym(c_Relation_Oconverse(A,B,B),B).
% 116.95/117.00  ** KEPT (pick-wt=31): 287 [] hBOOL(hAPP(hAPP(c_in(A),hAPP(B,C)),hAPP(D,C)))| -hBOOL(hAPP(hAPP(c_in(E),C),F))| -hBOOL(hAPP(hAPP(c_in(tc_fun(E,A)),B),c_FuncSet_OPi(F,D,E,A))).
% 116.95/117.00    Following clause subsumed by 287 during input processing: 0 [] -hBOOL(hAPP(hAPP(c_in(A),B),C))|hBOOL(hAPP(hAPP(c_in(D),hAPP(E,B)),hAPP(F,B)))| -hBOOL(hAPP(hAPP(c_in(tc_fun(A,D)),E),c_FuncSet_OPi(C,F,A,D))).
% 116.95/117.00  ** KEPT (pick-wt=27): 288 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(tc_fun(A,tc_bool)),C),D))| -hBOOL(hAPP(hAPP(c_in(A),B),c_Complete__Lattice_OInf__class_OInf(D,tc_fun(A,tc_bool)))).
% 116.95/117.00  ** KEPT (pick-wt=27): 289 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Complete__Lattice_OSup__class_OSup(C,tc_fun(A,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(A),B),D))| -hBOOL(hAPP(hAPP(c_in(tc_fun(A,tc_bool)),D),C)).
% 116.95/117.00  ** KEPT (pick-wt=40): 290 [] -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),C))| -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(B,A,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),C))|A=B| -hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),C),c_Arrow__Order__Mirabelle_OLin)).
% 116.95/117.00  ** KEPT (pick-wt=40): 291 [] hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),C))|hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(B,A,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),C))|B=A| -hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),C),c_Arrow__Order__Mirabelle_OLin)).
% 116.95/117.00  ** KEPT (pick-wt=11): 292 [] hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(C,B)).
% 116.95/117.00  ** KEPT (pick-wt=11): 293 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_in(C),B),A)).
% 116.95/117.00  ** KEPT (pick-wt=25): 294 [] -hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_L),c_Arrow__Order__Mirabelle_OLin))| -hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_Relation_Oconverse(v_L,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_OLin)).
% 116.95/117.00  ** KEPT (pick-wt=8): 295 [] class_Finite__Set_Ofinite_Ofinite(tc_prod(A,B))| -class_Finite__Set_Ofinite_Ofinite(B)| -class_Finite__Set_Ofinite_Ofinite(A).
% 116.95/117.00  ** KEPT (pick-wt=6): 296 [] class_Complete__Lattice_Ocomplete__lattice(tc_fun(A,B))| -class_Complete__Lattice_Ocomplete__lattice(B).
% 116.95/117.00  ** KEPT (pick-wt=6): 297 [] class_Lattices_Oupper__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 116.95/117.00  ** KEPT (pick-wt=6): 298 [] class_Lattices_Olower__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 116.95/117.00  ** KEPT (pick-wt=6): 299 [] class_Lattices_Odistrib__lattice(tc_fun(A,B))| -class_Lattices_Odistrib__lattice(B).
% 116.95/117.00  ** KEPT (pick-wt=6): 300 [] class_Lattices_Obounded__lattice(tc_fun(A,B))| -class_Lattices_Obounded__lattice(B).
% 116.95/117.00  ** KEPT (pick-wt=8): 301 [] class_Finite__Set_Ofinite_Ofinite(tc_fun(A,B))| -class_Finite__Set_Ofinite_Ofinite(B)| -class_Finite__Set_Ofinite_Ofinite(A).
% 116.95/117.00  ** KEPT (pick-wt=6): 302 [] class_Lattices_Olattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 116.95/117.00  ** KEPT (pick-wt=10): 303 [] A=B| -hBOOL(hAPP(hAPP(c_fe_qual(C),A),B)).
% 116.95/117.00    Following clause subsumed by 182 during input processing: 0 [copy,55,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 116.95/117.00  155 back subsumes 120.
% 116.95/117.00  175 back subsumes 72.
% 116.95/117.00    Following clause subsumed by 55 during input processing: 0 [copy,182,flip.1] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 116.95/117.00  198 back subsumes 183.
% 116.95/117.00  
% 116.95/117.00  ------------> process sos:
% 116.95/117.00  ** KEPT (pick-wt=3): 357 [] A=A.
% 116.95/117.00  ** KEPT (pick-wt=8): 358 [] c_Relation_OImage(c_Relation_OId(A),B,A,A)=B.
% 116.95/117.00  ---> New Demodulator: 359 [new_demod,358] c_Relation_OImage(c_Relation_OId(A),B,A,A)=B.
% 116.95/117.00  ** KEPT (pick-wt=25): 360 [] 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)).
% 116.95/117.00  ** KEPT (pick-wt=18): 361 [] c_Relation_Orel__comp(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,B),tc_bool)),C,A,B,D)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,D),tc_bool)).
% 116.95/117.00  ** KEPT (pick-wt=18): 362 [] c_Relation_Orel__comp(A,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(B,C),tc_bool)),D,B,C)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(D,C),tc_bool)).
% 116.95/117.00  ** KEPT (pick-wt=13): 363 [] 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)).
% 116.95/117.00  ** KEPT (pick-wt=8): 364 [] c_Relation_Oantisym(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,A),tc_bool)),A).
% 116.95/117.00  ** KEPT (pick-wt=15): 365 [] c_Transitive__Closure_Otrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,A),tc_bool)),A)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,A),tc_bool)).
% 116.95/117.00  ---> New Demodulator: 366 [new_demod,365] c_Transitive__Closure_Otrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,A),tc_bool)),A)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,A),tc_bool)).
% 116.95/117.00  ** KEPT (pick-wt=13): 367 [] c_Relation_OField(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,A),tc_bool)),A)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 116.95/117.00  ---> New Demodulator: 368 [new_demod,367] c_Relation_OField(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,A),tc_bool)),A)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 116.95/117.00  ** KEPT (pick-wt=27): 369 [] 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)).
% 116.95/117.00  ** KEPT (pick-wt=12): 370 [] c_Relation_Orefl__on(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,A),tc_bool)),A).
% 116.95/117.00  ** KEPT (pick-wt=11): 372 [copy,371,flip.1] c_Relation_OId(A)=c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,A),tc_bool)),A).
% 116.95/117.00  ---> New Demodulator: 373 [new_demod,372] c_Relation_OId(A)=c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,A),tc_bool)),A).
% 116.95/117.00  ** KEPT (pick-wt=13): 375 [copy,374,flip.1] c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,A),tc_bool))=c_Relation_OId__on(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A).
% 116.95/117.00  ---> New Demodulator: 376 [new_demod,375] c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,A),tc_bool))=c_Relation_OId__on(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A).
% 116.95/117.00  ** KEPT (pick-wt=12): 378 [copy,377,demod,376] c_Order__Relation_Opartial__order__on(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),c_Relation_OId__on(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A).
% 116.95/117.00  ** KEPT (pick-wt=12): 380 [copy,379,demod,376] c_Order__Relation_Opreorder__on(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),c_Relation_OId__on(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A).
% 116.95/117.00  ** KEPT (pick-wt=14): 381 [] 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)).
% 116.95/117.00  ** KEPT (pick-wt=12): 383 [copy,382,demod,376] c_Order__Relation_Olinear__order__on(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),c_Relation_OId__on(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A).
% 116.95/117.00  ** KEPT (pick-wt=28): 385 [copy,384,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)).
% 116.95/117.00  ---> New Demodulator: 386 [new_demod,385] 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)).
% 116.95/117.00  ** KEPT (pick-wt=28): 388 [copy,387,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)).
% 116.95/117.00  ---> New Demodulator: 389 [new_demod,388] 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)).
% 116.95/117.00  ** KEPT (pick-wt=8): 390 [] c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_fun(B,tc_bool))=A.
% 116.95/117.00  ---> New Demodulator: 391 [new_demod,390] c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_fun(B,tc_bool))=A.
% 116.95/117.00  ** KEPT (pick-wt=5): 392 [] c_Relation_Otrans(c_Transitive__Closure_Otrancl(A,B),B).
% 116.95/117.00  ** KEPT (pick-wt=21): 394 [copy,393,demod,373,376,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otrancl(A,B),c_Transitive__Closure_Ortrancl(c_Relation_OId__on(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),B),tc_fun(tc_prod(B,B),tc_bool))=c_Transitive__Closure_Ortrancl(A,B).
% 116.95/117.00  ---> New Demodulator: 395 [new_demod,394] c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otrancl(A,B),c_Transitive__Closure_Ortrancl(c_Relation_OId__on(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),B),tc_fun(tc_prod(B,B),tc_bool))=c_Transitive__Closure_Ortrancl(A,B).
% 116.95/117.00  ** KEPT (pick-wt=15): 396 [] c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D).
% 116.95/117.00  ** KEPT (pick-wt=17): 397 [] c_HOL_Ominus__class_Ominus(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=A.
% 116.95/117.00  ---> New Demodulator: 398 [new_demod,397] c_HOL_Ominus__class_Ominus(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=A.
% 116.95/117.00  ** KEPT (pick-wt=15): 399 [] hAPP(hAPP(c_COMBC(A,B,C,D),E),F)=hAPP(hAPP(A,F),E).
% 116.95/117.00  ** KEPT (pick-wt=8): 400 [] hAPP(c_COMBK(A,B,C),D)=A.
% 116.95/117.00  ---> New Demodulator: 401 [new_demod,400] hAPP(c_COMBK(A,B,C),D)=A.
% 116.95/117.00  ** KEPT (pick-wt=18): 402 [] 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)).
% 116.95/117.00  ---> New Demodulator: 403 [new_demod,402] 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)).
% 116.95/117.00    Following clause subsumed by 396 during input processing: 0 [] 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).
% 116.95/117.00  ** KEPT (pick-wt=13): 404 [] 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)).
% 116.95/117.00  ** KEPT (pick-wt=8): 405 [] c_Fun_Oinj__on(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B,C).
% 116.95/117.00  ** KEPT (pick-wt=23): 406 [] 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)).
% 116.95/117.00  ** KEPT (pick-wt=23): 407 [] 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)).
% 116.95/117.00  ---> New Demodulator: 408 [new_demod,407] 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)).
% 116.95/117.00  ** KEPT (pick-wt=21): 410 [copy,409,demod,373,376] c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(A,B),c_Transitive__Closure_Ortrancl(c_Relation_OId__on(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),B),tc_fun(tc_prod(B,B),tc_bool))=c_Transitive__Closure_Ortrancl(A,B).
% 116.95/117.00  ---> New Demodulator: 411 [new_demod,410] c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(A,B),c_Transitive__Closure_Ortrancl(c_Relation_OId__on(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),B),tc_fun(tc_prod(B,B),tc_bool))=c_Transitive__Closure_Ortrancl(A,B).
% 116.95/117.00  ** KEPT (pick-wt=13): 412 [] 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)).
% 116.95/117.00  ** KEPT (pick-wt=20): 413 [] 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).
% 116.95/117.00  ---> New Demodulator: 414 [new_demod,413] 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).
% 116.95/117.00  ** KEPT (pick-wt=53): 416 [copy,415,demod,408] 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_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(D,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 116.95/117.00  ---> New Demodulator: 417 [new_demod,416] 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_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(D,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 116.95/117.00  ** KEPT (pick-wt=5): 418 [] c_Relation_Osym(c_Relation_OId__on(A,B),B).
% 116.95/117.00  ** KEPT (pick-wt=21): 420 [copy,419,demod,373,376] c_Transitive__Closure_Otrancl(c_Lattices_Oupper__semilattice__class_Osup(A,c_Transitive__Closure_Ortrancl(c_Relation_OId__on(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),B),tc_fun(tc_prod(B,B),tc_bool)),B)=c_Transitive__Closure_Ortrancl(A,B).
% 116.95/117.00  ---> New Demodulator: 421 [new_demod,420] c_Transitive__Closure_Otrancl(c_Lattices_Oupper__semilattice__class_Osup(A,c_Transitive__Closure_Ortrancl(c_Relation_OId__on(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),B),tc_fun(tc_prod(B,B),tc_bool)),B)=c_Transitive__Closure_Ortrancl(A,B).
% 116.95/117.00  ** KEPT (pick-wt=6): 422 [] c_Relation_Orefl__on(A,c_Relation_OId__on(A,B),B).
% 116.95/117.00  ** KEPT (pick-wt=17): 424 [copy,423,flip.1] c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(A,B),A,B,B,B)=c_Relation_Orel__comp(A,c_Transitive__Closure_Ortrancl(A,B),B,B,B).
% 116.95/117.00  ---> New Demodulator: 425 [new_demod,424] c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(A,B),A,B,B,B)=c_Relation_Orel__comp(A,c_Transitive__Closure_Ortrancl(A,B),B,B,B).
% 116.95/117.00  ** KEPT (pick-wt=21): 427 [copy,426,demod,373,376] c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(A,c_Transitive__Closure_Ortrancl(c_Relation_OId__on(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),B),tc_fun(tc_prod(B,B),tc_bool)),B)=c_Transitive__Closure_Ortrancl(A,B).
% 116.95/117.00  ---> New Demodulator: 428 [new_demod,427] c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(A,c_Transitive__Closure_Ortrancl(c_Relation_OId__on(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),B),tc_fun(tc_prod(B,B),tc_bool)),B)=c_Transitive__Closure_Ortrancl(A,B).
% 116.95/117.00  ** KEPT (pick-wt=9): 429 [] c_Transitive__Closure_Otrancl(c_Transitive__Closure_Ortrancl(A,B),B)=c_Transitive__Closure_Ortrancl(A,B).
% 116.95/117.00  ---> New Demodulator: 430 [new_demod,429] c_Transitive__Closure_Otrancl(c_Transitive__Closure_Ortrancl(A,B),B)=c_Transitive__Closure_Ortrancl(A,B).
% 116.95/117.00    Following clause subsumed by 357 during input processing: 0 [demod,373,376,395] c_Transitive__Closure_Ortrancl(A,B)=c_Transitive__Closure_Ortrancl(A,B).
% 116.95/117.00  ** KEPT (pick-wt=19): 432 [copy,431,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)).
% 116.95/117.00  ---> New Demodulator: 433 [new_demod,432] 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)).
% 116.95/117.00  ** KEPT (pick-wt=19): 435 [copy,434,demod,433] 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)).
% 116.95/117.01  ** KEPT (pick-wt=25): 436 [] c_Set_Ovimage(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),E,D)=c_HOL_Ominus__class_Ominus(c_Set_Ovimage(A,B,E,D),c_Set_Ovimage(A,C,E,D),tc_fun(E,tc_bool)).
% 116.95/117.01  ** KEPT (pick-wt=5): 437 [] c_Relation_Otrans(c_Transitive__Closure_Ortrancl(A,B),B).
% 116.95/117.01  ** KEPT (pick-wt=5): 438 [] c_Collect(A,B)=A.
% 116.95/117.01  ---> New Demodulator: 439 [new_demod,438] c_Collect(A,B)=A.
% 116.95/117.01  ** KEPT (pick-wt=27): 440 [] 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)).
% 116.95/117.01  ** KEPT (pick-wt=27): 441 [] 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)).
% 116.95/117.01  ** KEPT (pick-wt=19): 442 [] hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Ovimage(C,c_Set_Oinsert(hAPP(C,B),c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),A,D))).
% 116.95/117.01  ** KEPT (pick-wt=22): 444 [copy,443,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)).
% 116.95/117.01  ---> New Demodulator: 445 [new_demod,444] 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)).
% 116.95/117.01  ** KEPT (pick-wt=12): 446 [] c_Set_Oinsert(A,c_Set_Oinsert(A,B,C),C)=c_Set_Oinsert(A,B,C).
% 116.95/117.01  ---> New Demodulator: 447 [new_demod,446] c_Set_Oinsert(A,c_Set_Oinsert(A,B,C),C)=c_Set_Oinsert(A,B,C).
% 116.95/117.01  ** KEPT (pick-wt=23): 448 [] c_Relation_Orel__comp(c_Relation_Orel__comp(A,B,C,D,E),F,C,E,G)=c_Relation_Orel__comp(A,c_Relation_Orel__comp(B,F,D,E,G),C,D,G).
% 116.95/117.01  ---> New Demodulator: 449 [new_demod,448] c_Relation_Orel__comp(c_Relation_Orel__comp(A,B,C,D,E),F,C,E,G)=c_Relation_Orel__comp(A,c_Relation_Orel__comp(B,F,D,E,G),C,D,G).
% 116.95/117.01  ** KEPT (pick-wt=14): 450 [] 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)).
% 116.95/117.01  ---> New Demodulator: 451 [new_demod,450] 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)).
% 116.95/117.01  ** KEPT (pick-wt=14): 452 [] 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)).
% 116.95/117.01  ---> New Demodulator: 453 [new_demod,452] 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)).
% 116.95/117.01  ** KEPT (pick-wt=6): 454 [] c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A).
% 116.95/117.01  ** KEPT (pick-wt=10): 456 [copy,455,demod,373,376] c_Relation_Oantisym(c_Transitive__Closure_Ortrancl(c_Relation_OId__on(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A),A).
% 116.95/117.01  ** KEPT (pick-wt=11): 457 [] c_HOL_Ominus__class_Ominus(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 116.95/117.01  ---> New Demodulator: 458 [new_demod,457] c_HOL_Ominus__class_Ominus(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 116.95/117.01  ** KEPT (pick-wt=11): 459 [] c_HOL_Ominus__class_Ominus(A,A,tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 116.95/117.01  ** KEPT (pick-wt=26): 461 [copy,460,demod,373,376,425,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(c_Relation_OId__on(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A),c_Relation_Orel__comp(B,c_Transitive__Closure_Ortrancl(B,A),A,A,A),tc_fun(tc_prod(A,A),tc_bool))=c_Transitive__Closure_Ortrancl(B,A).
% 116.95/117.01  ---> New Demodulator: 462 [new_demod,461] c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(c_Relation_OId__on(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A),c_Relation_Orel__comp(B,c_Transitive__Closure_Ortrancl(B,A),A,A,A),tc_fun(tc_prod(A,A),tc_bool))=c_Transitive__Closure_Ortrancl(B,A).
% 116.95/117.01  ** KEPT (pick-wt=23): 463 [] 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)).
% 116.95/117.01  ---> New Demodulator: 464 [new_demod,463] 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)).
% 116.95/117.01  ** KEPT (pick-wt=23): 465 [] 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)).
% 116.95/117.01  ** KEPT (pick-wt=11): 466 [] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=B.
% 116.95/117.01  ---> New Demodulator: 467 [new_demod,466] c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=B.
% 116.95/117.01  ** KEPT (pick-wt=11): 468 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 116.95/117.01  ---> New Demodulator: 469 [new_demod,468] c_Lattices_Oupper__semilattice__class_Osup(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 116.95/117.01    Following clause subsumed by 437 during input processing: 0 [demod,373,376] c_Relation_Otrans(c_Transitive__Closure_Ortrancl(c_Relation_OId__on(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A),A).
% 116.95/117.01  ** KEPT (pick-wt=14): 470 [] 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)).
% 116.95/117.01  ---> New Demodulator: 471 [new_demod,470] 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)).
% 116.95/117.01  ** KEPT (pick-wt=17): 472 [] c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,A,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=D.
% 116.95/117.01  ---> New Demodulator: 473 [new_demod,472] c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,A,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=D.
% 116.95/117.01  ** KEPT (pick-wt=17): 474 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=A.
% 116.95/117.01  ---> New Demodulator: 475 [new_demod,474] c_Lattices_Oupper__semilattice__class_Osup(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=A.
% 116.95/117.01  ** KEPT (pick-wt=14): 476 [] c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(A,B),c_Transitive__Closure_Ortrancl(A,B),B,B,B)=c_Transitive__Closure_Ortrancl(A,B).
% 116.95/117.01  ---> New Demodulator: 477 [new_demod,476] c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(A,B),c_Transitive__Closure_Ortrancl(A,B),B,B,B)=c_Transitive__Closure_Ortrancl(A,B).
% 116.95/117.01  ** KEPT (pick-wt=28): 478 [] 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)).
% 116.95/117.01  ---> New Demodulator: 479 [new_demod,478] 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)).
% 116.95/117.01  ** KEPT (pick-wt=28): 480 [] 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)).
% 116.95/117.01  ---> New Demodulator: 481 [new_demod,480] 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)).
% 116.95/117.01  ** KEPT (pick-wt=22): 482 [] 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)).
% 116.95/117.01  ** KEPT (pick-wt=14): 483 [] hBOOL(hAPP(hAPP(c_in(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),c_Set_OPow(B,A))).
% 116.95/117.01  ** KEPT (pick-wt=28): 484 [] 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)).
% 116.95/117.01  ---> New Demodulator: 485 [new_demod,484] 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)).
% 116.95/117.01    Following clause subsumed by 404 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)).
% 116.95/117.01  ** KEPT (pick-wt=20): 486 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,c_COMBK(B,tc_fun(C,tc_bool),D),D,tc_fun(C,tc_bool))=B|A=c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)).
% 116.95/117.01  ** KEPT (pick-wt=5): 487 [] c_Relation_Oantisym(c_Relation_OId__on(A,B),B).
% 116.95/117.01  ** KEPT (pick-wt=15): 489 [copy,488,demod,373,376] c_Relation_Orel__comp(A,c_Transitive__Closure_Ortrancl(c_Relation_OId__on(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),B),C,B,B)=A.
% 116.95/117.01  ---> New Demodulator: 490 [new_demod,489] c_Relation_Orel__comp(A,c_Transitive__Closure_Ortrancl(c_Relation_OId__on(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),B),C,B,B)=A.
% 116.95/117.01  ** KEPT (pick-wt=15): 492 [copy,491,demod,373,376] c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(c_Relation_OId__on(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A),B,A,A,C)=B.
% 116.95/117.01  ---> New Demodulator: 493 [new_demod,492] c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(c_Relation_OId__on(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A),B,A,A,C)=B.
% 116.95/117.01  ** KEPT (pick-wt=23): 494 [] c_Lattices_Olower__semilattice__class_Oinf(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_fun(D,tc_bool))|hBOOL(hAPP(hAPP(c_in(D),B),A)).
% 116.95/117.01  ** KEPT (pick-wt=23): 495 [] 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))|hBOOL(hAPP(hAPP(c_in(C),A),D)).
% 116.95/117.01  ** KEPT (pick-wt=18): 496 [] 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)).
% 116.95/117.01  ---> New Demodulator: 497 [new_demod,496] 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)).
% 116.95/117.01  ** KEPT (pick-wt=18): 498 [] 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)).
% 116.95/117.01  ---> New Demodulator: 499 [new_demod,498] 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)).
% 116.95/117.01  ** KEPT (pick-wt=32): 500 [] 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)).
% 116.95/117.01  ** KEPT (pick-wt=32): 501 [] 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)).
% 116.95/117.01  ** KEPT (pick-wt=5): 502 [] c_Relation_Otrans(c_Relation_OId__on(A,B),B).
% 116.95/117.01  ** KEPT (pick-wt=20): 503 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),c_COMBK(B,tc_fun(C,tc_bool),A),A,tc_fun(C,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 116.95/117.01  ** KEPT (pick-wt=21): 504 [] c_Relation_OField(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_prod(C,C),tc_bool)),C)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OField(A,C),c_Relation_OField(B,C),tc_fun(C,tc_bool)).
% 116.95/117.01  ---> New Demodulator: 505 [new_demod,504] c_Relation_OField(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_prod(C,C),tc_bool)),C)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OField(A,C),c_Relation_OField(B,C),tc_fun(C,tc_bool)).
% 116.95/117.01  ** KEPT (pick-wt=28): 507 [copy,506,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)).
% 116.95/117.01  ---> New Demodulator: 508 [new_demod,507] 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)).
% 116.95/117.01  ** KEPT (pick-wt=10): 510 [copy,509,demod,373,376] c_Relation_Osym(c_Transitive__Closure_Ortrancl(c_Relation_OId__on(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A),A).
% 116.95/117.01  ** KEPT (pick-wt=18): 512 [copy,511,demod,439] c_Set_Oinsert(A,B,C)=c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fe_qual(C),C,C,tc_bool),A),B,tc_fun(C,tc_bool)).
% 116.95/117.01  ** KEPT (pick-wt=13): 513 [] 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)).
% 116.95/117.01  ** KEPT (pick-wt=17): 514 [] 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)).
% 116.95/117.01  ** KEPT (pick-wt=18): 515 [] 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)).
% 116.95/117.01  ---> New Demodulator: 516 [new_demod,515] 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)).
% 116.95/117.01  ** KEPT (pick-wt=13): 517 [] 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).
% 116.95/117.01  ** KEPT (pick-wt=21): 519 [copy,518,demod,479] 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)).
% 116.95/117.01  ** KEPT (pick-wt=13): 520 [] c_Relation_Osym(c_Lattices_Oupper__semilattice__class_Osup(A,c_Relation_Oconverse(A,B,B),tc_fun(tc_prod(B,B),tc_bool)),B).
% 116.95/117.01  ** KEPT (pick-wt=25): 521 [] c_Set_Ovimage(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),E,D)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(A,B,E,D),c_Set_Ovimage(A,C,E,D),tc_fun(E,tc_bool)).
% 116.95/117.01  ** KEPT (pick-wt=25): 522 [] c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__se
% 116.95/117.01  Search stopped in tp_alloc by max_mem option.
% 116.95/117.01  milattice__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).
% 116.95/117.01  ---> New Demodulator: 523 [new_demod,522] 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).
% 116.95/117.01  ** KEPT (pick-wt=26): 525 [copy,524,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))|hBOOL(hAPP(hAPP(c_in(D),A),C)).
% 116.95/117.01  ** KEPT (pick-wt=24): 526 [] 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|hBOOL(hAPP(hAPP(c_in(C),A),B)).
% 116.95/117.01  
% 116.95/117.01  Search stopped in tp_alloc by max_mem option.
% 116.95/117.01  
% 116.95/117.01  ============ end of search ============
% 116.95/117.01  
% 116.95/117.01  -------------- statistics -------------
% 116.95/117.01  clauses given                  0
% 116.95/117.01  clauses generated             59
% 116.95/117.01  clauses kept                 449
% 116.95/117.01  clauses forward subsumed      39
% 116.95/117.01  clauses back subsumed          3
% 116.95/117.01  Kbytes malloced            11718
% 116.95/117.01  
% 116.95/117.01  ----------- times (seconds) -----------
% 116.95/117.01  user CPU time          0.07          (0 hr, 0 min, 0 sec)
% 116.95/117.01  system CPU time        0.01          (0 hr, 0 min, 0 sec)
% 116.95/117.01  wall-clock time      117             (0 hr, 1 min, 57 sec)
% 116.95/117.01  
% 116.95/117.01  Process 17664 finished Wed Jul 27 09:10:17 2022
% 116.95/117.01  Otter interrupted
% 116.95/117.01  PROOF NOT FOUND
%------------------------------------------------------------------------------