TSTP Solution File: SCT018-1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SCT018-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Jul 27 13:12:25 EDT 2022
% Result : Unknown 244.64s 244.69s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SCT018-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : otter-tptp-script %s
% 0.14/0.34 % Computer : n029.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Jul 27 09:12:29 EDT 2022
% 0.14/0.34 % CPUTime :
% 243.39/243.43 ----- Otter 3.3f, August 2004 -----
% 243.39/243.43 The process was started by sandbox on n029.cluster.edu,
% 243.39/243.43 Wed Jul 27 09:12:29 2022
% 243.39/243.43 The command was "./otter". The process ID is 3071.
% 243.39/243.43
% 243.39/243.43 set(prolog_style_variables).
% 243.39/243.43 set(auto).
% 243.39/243.43 dependent: set(auto1).
% 243.39/243.43 dependent: set(process_input).
% 243.39/243.43 dependent: clear(print_kept).
% 243.39/243.43 dependent: clear(print_new_demod).
% 243.39/243.43 dependent: clear(print_back_demod).
% 243.39/243.43 dependent: clear(print_back_sub).
% 243.39/243.43 dependent: set(control_memory).
% 243.39/243.43 dependent: assign(max_mem, 12000).
% 243.39/243.43 dependent: assign(pick_given_ratio, 4).
% 243.39/243.43 dependent: assign(stats_level, 1).
% 243.39/243.43 dependent: assign(max_seconds, 10800).
% 243.39/243.43 clear(print_given).
% 243.39/243.43
% 243.39/243.43 list(usable).
% 243.39/243.43 0 [] A=A.
% 243.39/243.43 0 [] V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,c_Relation_OImage(V_R,V_A,T_a,T_a),tc_fun(T_a,tc_bool))| -c_Wellfounded_Owf(V_R,T_a).
% 243.39/243.43 0 [] -hBOOL(hAPP(V_P,V_x))| -c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 243.39/243.43 0 [] -c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 243.39/243.43 0 [] -c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 243.39/243.43 0 [] hBOOL(hAPP(V_P,V_x))| -c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 243.39/243.43 0 [] -c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 243.39/243.43 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)).
% 243.39/243.43 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).
% 243.39/243.43 0 [] c_Relation_ODomain(V_r,T_a,T_b)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_r=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 243.39/243.43 0 [] c_Product__Type_OSigma(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,T_a,T_b)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 243.39/243.43 0 [] c_Wellfounded_Owf(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a).
% 243.39/243.43 0 [] c_Set_Oinsert(V_x,V_xa,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|c_in(V_x,V_xa,T_a).
% 243.39/243.43 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)).
% 243.39/243.43 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)).
% 243.39/243.43 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.
% 243.39/243.43 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)).
% 243.39/243.43 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).
% 243.39/243.43 0 [] c_Relation_ODomain(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_bool)),T_a,T_b)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 243.39/243.43 0 [] V_b=V_a| -c_in(V_b,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a).
% 243.39/243.43 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)).
% 243.39/243.43 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)).
% 243.39/243.43 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)).
% 243.39/243.43 0 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)).
% 243.39/243.43 0 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)),V_B,tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 243.39/243.43 0 [] -class_Orderings_Obot(T_a)|c_lesse_quals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a).
% 243.39/243.43 0 [] c_Set_Oinsert(V_a,V_A,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 243.39/243.43 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)).
% 243.39/243.43 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).
% 243.39/243.43 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).
% 243.39/243.43 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)).
% 243.39/243.43 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)).
% 243.39/243.43 0 [] c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 243.39/243.43 0 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)).
% 243.39/243.43 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)).
% 243.39/243.43 0 [] -c_in(V_x,V_B,T_a)| -c_in(V_x,V_A,T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 243.39/243.43 0 [] c_Relation_Oantisym(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a).
% 243.39/243.43 0 [] c_Relation_ORange(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_a),tc_bool)),T_b,T_a)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 243.39/243.43 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.
% 243.39/243.43 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.
% 243.39/243.43 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.
% 243.39/243.43 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.
% 243.39/243.43 0 [] V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 243.39/243.43 0 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 243.39/243.43 0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Set_Oinsert(V_a,V_A,T_a).
% 243.39/243.43 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).
% 243.39/243.43 0 [] c_Relation_Ototal__on(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_r,T_a).
% 243.39/243.43 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)).
% 243.39/243.43 0 [] c_in(V_x,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a).
% 243.39/243.43 0 [] V_A=c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)).
% 243.39/243.43 0 [] c_Product__Type_OSigma(V_A,c_COMBK(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),tc_fun(T_b,tc_bool),T_a),T_a,T_b)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 243.39/243.43 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)).
% 243.39/243.43 0 [] c_Relation_ORange(V_r,T_b,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_r=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_a),tc_bool)).
% 243.39/243.43 0 [] c_Relation_Orel__comp(V_R,V_R,T_a,T_a,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool))|c_Wellfounded_Owf(V_R,T_a).
% 243.39/243.43 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).
% 243.39/243.43 0 [] c_Set_Oimage(c_COMBK(V_c,T_b,T_a),V_A,T_a,T_b)=c_Set_Oinsert(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b)| -c_in(V_x,V_A,T_a).
% 243.39/243.43 0 [] c_in(V_a,c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a),T_a)| -c_in(V_a,V_A,T_a)| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a).
% 243.39/243.43 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_X,V_Y,tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_X=V_Y| -c_in(V_Y,c_Equiv__Relations_Oquotient(V_A,V_r,T_a),tc_fun(T_a,tc_bool))| -c_in(V_X,c_Equiv__Relations_Oquotient(V_A,V_r,T_a),tc_fun(T_a,tc_bool))| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a).
% 243.39/243.43 0 [] c_in(c_Pair(V_a,V_b,T_b,T_a),V_r,tc_prod(T_b,T_a))| -c_in(V_b,c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_b,T_a),T_a).
% 243.39/243.43 0 [] c_in(V_b,c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_b,T_a),T_a)| -c_in(c_Pair(V_a,V_b,T_b,T_a),V_r,tc_prod(T_b,T_a)).
% 243.39/243.43 0 [] c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)=c_Relation_OImage(V_r,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)| -c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a).
% 243.39/243.43 0 [] c_Relation_OImage(V_r,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)=c_Relation_OImage(V_r,c_Set_Oinsert(V_y,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)| -c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a).
% 243.39/243.43 0 [] c_in(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),tc_fun(T_a,tc_bool))| -c_in(V_x,V_A,T_a).
% 243.39/243.43 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)| -c_lesse_quals(V_b,V_x,T_a).
% 243.39/243.43 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_y,T_a)| -c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a).
% 243.39/243.43 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a).
% 243.39/243.43 0 [] -class_Finite__Set_Ofinite_Ofinite(T_a)|c_Finite__Set_Ofinite(V_A,T_a).
% 243.39/243.43 0 [] c_lesse_quals(c_Relation_ORange(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(tc_prod(T_b,T_a),tc_bool)),T_b,T_a),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_ORange(V_A,T_b,T_a),c_Relation_ORange(V_B,T_b,T_a),tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 243.39/243.43 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)).
% 243.39/243.43 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)).
% 243.39/243.43 0 [] c_Relation_ORange(c_Set_Oinsert(c_Pair(V_a,V_b,T_b,T_a),V_r,tc_prod(T_b,T_a)),T_b,T_a)=c_Set_Oinsert(V_b,c_Relation_ORange(V_r,T_b,T_a),T_a).
% 243.39/243.43 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).
% 243.39/243.43 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).
% 243.39/243.43 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).
% 243.39/243.43 0 [] c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -c_in(V_c,V_B,T_a)| -c_in(V_c,V_A,T_a).
% 243.39/243.43 0 [] c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -c_in(V_c,V_B,T_a)| -c_in(V_c,V_A,T_a).
% 243.39/243.43 0 [] c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a)| -c_in(V_a,V_A,T_a).
% 243.39/243.43 0 [] c_in(V_a,c_Set_Oinsert(V_b,V_B,T_a),T_a)| -c_in(V_a,V_B,T_a).
% 243.39/243.43 0 [] c_in(V_a,V_A,T_a)|V_a=V_b| -c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a).
% 243.39/243.43 0 [] c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a).
% 243.39/243.43 0 [] c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a).
% 243.39/243.43 0 [] c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a).
% 243.39/243.43 0 [] c_in(V_c,V_B,T_a)| -c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a).
% 243.39/243.43 0 [] c_in(V_c,V_A,T_a)| -c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a).
% 243.39/243.43 0 [] c_Set_Oinsert(V_x,V_A,T_a)!=c_Set_Oinsert(V_x,V_B,T_a)|c_in(V_x,V_B,T_a)|c_in(V_x,V_A,T_a)|V_A=V_B.
% 243.39/243.43 0 [] c_Set_Oinsert(V_a,V_A,T_a)=V_A| -c_in(V_a,V_A,T_a).
% 243.39/243.43 0 [] -c_in(V_x,V_A,T_aa)|c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_aa,T_a),T_a).
% 243.39/243.43 0 [] -c_in(V_x,V_A,T_b)|c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a).
% 243.39/243.43 0 [] c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a)| -c_in(V_x,V_A,T_b).
% 243.39/243.43 0 [] c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)| -c_in(V_x,V_A,T_a).
% 243.39/243.43 0 [] c_in(c_Pair(V_x,c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1(V_R,V_x,V_y,T_a),T_a,T_a),V_R,tc_prod(T_a,T_a))| -c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Otrancl(V_R,T_a),tc_prod(T_a,T_a)).
% 243.39/243.43 0 [] c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1(V_R,V_x,V_y,T_a),V_y,T_a,T_a),V_R,tc_prod(T_a,T_a))| -c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Otrancl(V_R,T_a),tc_prod(T_a,T_a)).
% 243.39/243.43 0 [] c_lesse_quals(c_Product__Type_OSigma(V_A,V_B,T_a,T_b),c_Product__Type_OSigma(V_C,V_D,T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool))| -c_lesse_quals(hAPP(V_B,c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1(V_A,V_B,V_D,T_a,T_b)),hAPP(V_D,c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1(V_A,V_B,V_D,T_a,T_b)),tc_fun(T_b,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)).
% 243.39/243.43 0 [] c_lesse_quals(c_Transitive__Closure_Otrancl(V_r,T_a),V_s,tc_fun(tc_prod(T_a,T_a),tc_bool))| -c_lesse_quals(c_Relation_Orel__comp(c_Lattices_Olower__semilattice__class_Oinf(c_Transitive__Closure_Otrancl(V_r,T_a),V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)),V_r,T_a,T_a,T_a),V_s,tc_fun(tc_prod(T_a,T_a),tc_bool))| -c_lesse_quals(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 243.39/243.43 0 [] c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_in(V_x,c_Lattices_Olower__semilattice__class_Oinf(c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a),c_Relation_OImage(V_r,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a),tc_fun(T_a,tc_bool)),T_a)| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a).
% 243.39/243.43 0 [] c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_in(V_b,V_A,T_a)| -c_lesse_quals(c_Relation_OImage(V_r,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a),c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a),tc_fun(T_a,tc_bool))| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a).
% 243.39/243.43 0 [] c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)!=c_Relation_OImage(V_r,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)| -c_in(V_b,c_Relation_OField(V_r,T_a),T_a)| -c_in(V_a,c_Relation_OField(V_r,T_a),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.
% 243.39/243.43 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))| -c_in(c_Pair(V_x,V_x,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)).
% 243.39/243.43 0 [] c_Wellfounded_Owf(V_r,T_a)| -c_ATP__Linkup_Osko__Wellfounded__XwfI__1__2(V_A,V_B,V_r,c_ATP__Linkup_Osko__Wellfounded__XwfI__1__1(V_A,V_B,V_r,T_a),T_a)| -c_lesse_quals(V_r,c_Product__Type_OSigma(V_A,c_COMBK(V_B,tc_fun(T_a,tc_bool),T_a),T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 243.39/243.43 0 [] c_Equiv__Relations_Oquotient(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_r,T_a)=c_Equiv__Relations_Oquotient(c_Set_Oinsert(V_y,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_r,T_a)| -c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_in(V_y,V_A,T_a)| -c_in(V_x,V_A,T_a)| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a).
% 243.39/243.43 0 [] c_Equiv__Relations_Oquotient(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_r,T_a)!=c_Equiv__Relations_Oquotient(c_Set_Oinsert(V_y,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_r,T_a)| -c_in(V_y,V_A,T_a)| -c_in(V_x,V_A,T_a)| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a)|c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a)).
% 243.39/243.43 0 [] c_lesse_quals(c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a),c_Relation_OImage(V_r,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a),tc_fun(T_a,tc_bool))| -c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a).
% 243.39/243.43 0 [] c_Relation_OImage(V_r,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)!=c_Relation_OImage(V_r,c_Set_Oinsert(V_y,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)| -c_in(V_y,V_A,T_a)| -c_in(V_x,V_A,T_a)| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a)|c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a)).
% 243.39/243.43 0 [] c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)!=c_Relation_OImage(V_r,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)|c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_in(V_b,V_A,T_a)| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a).
% 243.39/243.43 0 [] c_Relation_OImage(V_r,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)!=c_Relation_OImage(V_r,c_Set_Oinsert(V_y,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a)|c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_in(V_y,V_A,T_a)| -c_in(V_x,V_A,T_a).
% 243.39/243.43 0 [] c_Relation_OImage(V_r,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)=c_Relation_OImage(V_r,c_Set_Oinsert(V_y,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)| -c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_in(V_y,V_A,T_a)| -c_in(V_x,V_A,T_a)| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a).
% 243.39/243.43 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)| -c_lesse_quals(V_a,V_x,T_a).
% 243.39/243.43 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_b,T_a)| -c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a).
% 243.39/243.43 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_a,T_a)| -c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a).
% 243.39/243.43 0 [] c_lesse_quals(V_C,V_A,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 243.39/243.43 0 [] c_lesse_quals(V_C,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 243.39/243.43 0 [] c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool))|c_in(V_a,V_C,T_a).
% 243.39/243.43 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))|c_in(V_a,V_A,T_a).
% 243.39/243.43 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)).
% 243.39/243.43 0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))|c_in(V_x,V_A,T_a).
% 243.39/243.43 0 [] c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|c_in(V_x,V_A,T_a).
% 243.39/243.43 0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|c_in(V_x,V_A,T_a)| -c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)).
% 243.39/243.43 0 [] c_lesse_quals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|c_in(V_x,V_A,T_a).
% 243.39/243.43 0 [] c_Set_Oinsert(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)=c_Set_Oimage(V_f,V_A,T_a,T_b)| -c_in(V_x,V_A,T_a).
% 243.39/243.43 0 [] hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))| -hBOOL(hAPP(V_A,V_x)).
% 243.39/243.43 0 [] c_in(V_x,V_B,T_a)| -c_lesse_quals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)).
% 243.39/243.43 0 [] c_Relation_OField(c_Relation_Oconverse(V_r,T_a,T_a),T_a)=c_Relation_OField(V_r,T_a).
% 243.39/243.43 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).
% 243.39/243.43 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).
% 243.39/243.43 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)).
% 243.39/243.43 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)=V_y| -c_lesse_quals(V_y,V_x,T_a).
% 243.39/243.43 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)!=V_x|c_lesse_quals(V_x,V_y,T_a).
% 243.39/243.43 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)=V_x| -c_lesse_quals(V_x,V_y,T_a).
% 243.39/243.43 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))=V_B| -c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool)).
% 243.39/243.43 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))=V_A| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 243.39/243.43 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).
% 243.39/243.43 0 [] c_in(hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_b,T_a),V_x),V_A,T_b)| -c_in(V_x,c_Set_Oimage(V_f,V_A,T_b,T_a),T_a).
% 243.39/243.43 0 [] hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_a,T_b),V_x)!=hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_a,T_b),V_y)|V_x=V_y| -c_in(V_y,c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)| -c_in(V_x,c_Set_Oimage(V_f,V_A,T_a,T_b),T_b).
% 243.39/243.43 0 [] c_Product__Type_OSigma(c_Lattices_Olower__semilattice__class_Oinf(V_I,V_J,tc_fun(T_a,tc_bool)),V_C,T_a,T_b)=c_Lattices_Olower__semilattice__class_Oinf(c_Product__Type_OSigma(V_I,V_C,T_a,T_b),c_Product__Type_OSigma(V_J,V_C,T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 243.39/243.43 0 [] c_in(hAPP(V_f,V_x),V_B,T_a)| -c_in(V_x,V_A,T_b)| -c_lesse_quals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)).
% 243.39/243.43 0 [] c_Finite__Set_Ofinite(V_B,T_b)| -c_lesse_quals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool))| -c_Finite__Set_Ofinite(V_A,T_a).
% 243.39/243.43 0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)).
% 243.39/243.43 0 [] c_lesse_quals(V_A,c_Set_Oinsert(V_b,V_B,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 243.39/243.43 0 [] c_Set_Oimage(c_COMBI(T_a),V_Y,T_a,T_a)=V_Y.
% 243.39/243.43 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).
% 243.39/243.43 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).
% 243.39/243.43 0 [] hBOOL(hAPP(V_A,V_x))|V_y=V_x| -hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)).
% 243.39/243.43 0 [] c_Relation_ODomain(c_Set_Oinsert(c_Pair(V_a,V_b,T_a,T_b),V_r,tc_prod(T_a,T_b)),T_a,T_b)=c_Set_Oinsert(V_a,c_Relation_ODomain(V_r,T_a,T_b),T_a).
% 243.39/243.43 0 [] c_lesse_quals(c_Relation_ODomain(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(tc_prod(T_a,T_b),tc_bool)),T_a,T_b),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_ODomain(V_A,T_a,T_b),c_Relation_ODomain(V_B,T_a,T_b),tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 243.39/243.43 0 [] c_lesse_quals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)).
% 243.39/243.43 0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a).
% 243.39/243.43 0 [] c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a)| -c_Finite__Set_Ofinite(V_A,T_a).
% 243.39/243.43 0 [] c_lesse_quals(c_Set_Oimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 243.39/243.43 0 [] c_lesse_quals(c_Relation_OImage(V_R,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_OImage(V_R,V_A,T_b,T_a),c_Relation_OImage(V_R,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 243.39/243.43 0 [] c_Product__Type_OSigma(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_COMBK(V_C,tc_fun(T_b,tc_bool),T_a),T_a,T_b)=c_Lattices_Olower__semilattice__class_Oinf(c_Product__Type_OSigma(V_A,c_COMBK(V_C,tc_fun(T_b,tc_bool),T_a),T_a,T_b),c_Product__Type_OSigma(V_B,c_COMBK(V_C,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 243.39/243.43 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).
% 243.39/243.43 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).
% 243.39/243.43 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).
% 243.39/243.43 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).
% 243.39/243.43 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)).
% 243.39/243.43 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)).
% 243.39/243.43 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).
% 243.39/243.43 0 [] c_Set_Oimage(c_FuncSet_Orestrict(V_f,V_A,T_b,T_a),V_A,T_b,T_a)=c_Set_Oimage(V_f,V_A,T_b,T_a).
% 243.39/243.43 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).
% 243.39/243.43 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).
% 243.39/243.43 0 [] c_Set_Oimage(c_FuncSet_Ocompose(V_A,V_g,V_f,T_b,T_a,T_c),V_A,T_b,T_c)=c_Set_Oimage(V_g,c_Set_Oimage(V_f,V_A,T_b,T_a),T_a,T_c).
% 243.39/243.43 0 [] hAPP(V_f,hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_b,T_a),V_y))=V_y| -c_in(V_y,c_Set_Oimage(V_f,V_A,T_b,T_a),T_a).
% 243.39/243.43 0 [] c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool))=c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),T_a)| -c_in(V_a,V_C,T_a).
% 243.39/243.43 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool))=c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -c_in(V_a,V_A,T_a).
% 243.39/243.43 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).
% 243.39/243.43 0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a).
% 243.39/243.43 0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a).
% 243.39/243.43 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)| -c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 243.39/243.43 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)| -c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 243.39/243.43 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a)| -c_lesse_quals(V_x,V_b,T_a)| -c_lesse_quals(V_x,V_a,T_a).
% 243.39/243.43 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a).
% 243.39/243.43 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a).
% 243.39/243.43 0 [] c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)).
% 243.39/243.43 0 [] c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)).
% 243.39/243.43 0 [] c_lesse_quals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,V_A,tc_fun(T_a,tc_bool)).
% 243.39/243.43 0 [] c_lesse_quals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,V_A,tc_fun(T_a,tc_bool)).
% 243.39/243.43 0 [] hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)).
% 243.39/243.43 0 [] c_lesse_quals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_in(V_x,V_B,T_a).
% 243.39/243.43 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).
% 243.39/243.43 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).
% 243.39/243.43 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)).
% 243.39/243.43 0 [] c_lesse_quals(c_Relation_OField(V_r,T_a),c_Relation_OField(V_s,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 243.39/243.43 0 [] c_Set_Oimage(V_f,V_A,T_a,T_b)=V_B| -c_Fun_Obij__betw(V_f,V_A,V_B,T_a,T_b).
% 243.39/243.43 0 [] c_Wellfounded_Owf(c_Lattices_Olower__semilattice__class_Oinf(V_r,V_r_H,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)| -c_Wellfounded_Owf(V_r,T_a).
% 243.39/243.43 0 [] c_Wellfounded_Owf(c_Lattices_Olower__semilattice__class_Oinf(V_r_H,V_r,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)| -c_Wellfounded_Owf(V_r,T_a).
% 243.39/243.43 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_x,T_a)=V_x.
% 243.39/243.43 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,V_A,tc_fun(T_a,tc_bool))=V_A.
% 243.39/243.43 0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofinite(V_B,T_a)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 243.39/243.43 0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_B,T_a).
% 243.39/243.43 0 [] c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_D,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)).
% 243.39/243.43 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)).
% 243.39/243.43 0 [] c_lesse_quals(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 243.39/243.43 0 [] -c_lesse_quals(V_x,V_A,tc_fun(T_b,tc_bool))|c_lesse_quals(c_Set_Oimage(V_f,V_x,T_b,T_a),c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool)).
% 243.39/243.43 0 [] c_lesse_quals(c_Set_Oinsert(V_a,V_C,T_a),c_Set_Oinsert(V_a,V_D,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,V_D,tc_fun(T_a,tc_bool)).
% 243.39/243.43 0 [] c_Wellfounded_Owf(V_r,T_a)| -c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a).
% 243.39/243.43 0 [] hBOOL(hAPP(V_P,V_a))| -hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(V_P,V_r,T_a)))| -c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a).
% 243.39/243.43 0 [] hBOOL(hAPP(V_P,V_x))| -hBOOL(hAPP(V_P,v_sko__Wellfounded__Xacc__Xinducts__1(V_P,V_r)))| -c_in(V_x,c_Wellfounded_Oacc(V_r,t_a),t_a).
% 243.39/243.43 0 [] hBOOL(hAPP(V_P,V_a))|c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(V_P,V_r,T_a),c_Wellfounded_Oacc(V_r,T_a),T_a)| -c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a).
% 243.39/243.43 0 [] -c_in(c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1(V_R,V_x,T_a),c_Wellfounded_Oacc(V_R,T_a),T_a)|c_in(V_x,c_Wellfounded_Oacc(V_R,T_a),T_a).
% 243.39/243.43 0 [] hBOOL(hAPP(V_P,V_a))| -hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(V_P,V_r,T_a)))| -c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a).
% 243.39/243.43 0 [] hBOOL(hAPP(V_P,V_x))| -hBOOL(hAPP(V_P,v_sko__Wellfounded__Xacc__Xinduct__1(V_P,V_r)))| -c_in(V_x,c_Wellfounded_Oacc(V_r,t_a),t_a).
% 243.39/243.43 0 [] c_in(V_x,c_Wellfounded_Oacc(V_r,T_a),T_a)| -c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1(V_r,V_x,T_a),c_Wellfounded_Oacc(V_r,T_a),T_a).
% 243.39/243.43 0 [] hBOOL(hAPP(V_P,V_a))|c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(V_P,V_r,T_a),c_Wellfounded_Oacc(V_r,T_a),T_a)| -c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a).
% 243.39/243.43 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).
% 243.39/243.43 0 [] c_in(c_Arrow__Order__Mirabelle_Obelow(V_L,V_x,V_y),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))| -c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|V_x=V_y.
% 243.39/243.43 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)).
% 243.39/243.43 0 [] c_in(c_Pair(c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1(V_R,V_x,T_a),V_x,T_a,T_a),V_R,tc_prod(T_a,T_a))|c_in(V_x,c_Wellfounded_Oacc(V_R,T_a),T_a).
% 243.39/243.43 0 [] hBOOL(hAPP(V_P,V_a))|hBOOL(hAPP(V_P,V_y))| -c_in(c_Pair(V_y,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(V_P,V_r,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a).
% 243.39/243.43 0 [] hBOOL(hAPP(V_P,V_x))|hBOOL(hAPP(V_P,V_y))| -c_in(c_Pair(V_y,v_sko__Wellfounded__Xacc__Xinduct__1(V_P,V_r),t_a,t_a),V_r,tc_prod(t_a,t_a))| -c_in(V_x,c_Wellfounded_Oacc(V_r,t_a),t_a).
% 243.39/243.43 0 [] c_in(V_x,c_Wellfounded_Oacc(V_r,T_a),T_a)|c_in(c_Pair(c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1(V_r,V_x,T_a),V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)).
% 243.39/243.43 0 [] hBOOL(hAPP(V_P,V_x))|c_in(V_ya,c_Wellfounded_Oacc(V_r,t_a),t_a)| -c_in(c_Pair(V_ya,v_sko__Wellfounded__Xacc__Xinducts__1(V_P,V_r),t_a,t_a),V_r,tc_prod(t_a,t_a))| -c_in(V_x,c_Wellfounded_Oacc(V_r,t_a),t_a).
% 243.39/243.43 0 [] hBOOL(hAPP(V_P,V_x))|hBOOL(hAPP(V_P,V_y))| -c_in(c_Pair(V_y,v_sko__Wellfounded__Xacc__Xinducts__1(V_P,V_r),t_a,t_a),V_r,tc_prod(t_a,t_a))| -c_in(V_x,c_Wellfounded_Oacc(V_r,t_a),t_a).
% 243.39/243.43 0 [] hBOOL(hAPP(V_P,V_x))|c_in(V_ya,c_Wellfounded_Oacc(V_r,t_a),t_a)| -c_in(c_Pair(V_ya,v_sko__Wellfounded__Xacc__Xinduct__1(V_P,V_r),t_a,t_a),V_r,tc_prod(t_a,t_a))| -c_in(V_x,c_Wellfounded_Oacc(V_r,t_a),t_a).
% 243.39/243.43 0 [] hBOOL(hAPP(V_P,V_a))|hBOOL(hAPP(V_P,V_y))| -c_in(c_Pair(V_y,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(V_P,V_r,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a).
% 243.39/243.43 0 [] -c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))| -c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a).
% 243.39/243.43 0 [] c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a)|c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))| -c_Wellfounded_Owf(V_r,T_a).
% 243.39/243.43 0 [] c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XRangeE__1__1(V_b,V_r,T_a,T_b),V_b,T_b,T_a),V_r,tc_prod(T_b,T_a))| -c_in(V_b,c_Relation_ORange(V_r,T_b,T_a),T_a).
% 243.39/243.43 0 [] c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XRange__iff__1__1(V_a,V_r,T_a,T_b),V_a,T_b,T_a),V_r,tc_prod(T_b,T_a))| -c_in(V_a,c_Relation_ORange(V_r,T_b,T_a),T_a).
% 243.39/243.43 0 [] c_in(c_Pair(V_x,c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1(V_R,V_x,V_y,T_a),T_a,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),tc_prod(T_a,T_a))| -c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Otrancl(V_R,T_a),tc_prod(T_a,T_a)).
% 243.39/243.43 0 [] c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1(V_R,V_x,V_y,T_a),V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),tc_prod(T_a,T_a))| -c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Otrancl(V_R,T_a),tc_prod(T_a,T_a)).
% 243.39/243.43 0 [] c_lesse_quals(c_Product__Type_OSigma(V_A,V_B,T_a,T_b),c_Product__Type_OSigma(V_C,V_D,T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool))|c_in(c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1(V_A,V_B,V_D,T_a,T_b),V_A,T_a)| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)).
% 243.39/243.43 0 [] c_Arrow__Order__Mirabelle_Ounanimity(V_F)|c_in(v_sko__Arrow__Order__Mirabelle__Xunanimity__def__2(V_F),c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))).
% 243.39/243.43 0 [] c_lesse_quals(c_Set_Oimage(V_f,V_A,T_a,T_b),V_B,tc_fun(T_b,tc_bool))| -c_in(V_f,c_FuncSet_OPi(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(T_a,T_b)).
% 243.39/243.43 0 [] c_lesse_quals(c_Transitive__Closure_Otrancl(V_r,T_a),c_Product__Type_OSigma(c_Relation_OField(V_r,T_a),c_COMBK(c_Relation_OField(V_r,T_a),tc_fun(T_a,tc_bool),T_a),T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 243.39/243.43 0 [] c_in(c_FuncSet_Orestrict(V_f,V_A,T_a,T_b),c_FuncSet_OPi(V_A,V_B,T_a,T_b),tc_fun(T_a,T_b))|c_in(c_FuncSet_Osko__FuncSet__XrestrictI__1__1(V_A,V_B,V_f,T_a,T_b),V_A,T_a).
% 243.39/243.43 0 [] c_in(c_FuncSet_Orestrict(V_f,V_A,T_a,T_b),c_FuncSet_OPi(V_A,V_B,T_a,T_b),tc_fun(T_a,T_b))| -c_in(hAPP(V_f,c_FuncSet_Osko__FuncSet__XrestrictI__1__1(V_A,V_B,V_f,T_a,T_b)),hAPP(V_B,c_FuncSet_Osko__FuncSet__XrestrictI__1__1(V_A,V_B,V_f,T_a,T_b)),T_b).
% 243.39/243.43 0 [] -c_in(c_Pair(V_b,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(V_x,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|V_x=V_y| -c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|V_x=V_b|c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(V_L,V_x,V_b),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 243.39/243.43 0 [] -c_in(c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|V_xa=V_x| -c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|V_a=V_x|c_in(c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(V_L,V_a,V_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 243.39/243.43 0 [] c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(V_L,V_a,V_b),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|V_x=V_a| -c_in(c_Pair(V_x,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|V_x=V_y| -c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|V_a=V_b.
% 243.39/243.43 0 [] c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(V_L,V_a,V_b),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(V_b,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|V_y=V_a|V_x=V_y| -c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|V_a=V_b.
% 243.39/243.43 0 [] V_xa=V_x|V_x=V_xa| -c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|V_x=V_xa|c_in(c_Pair(V_x,V_xa,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(V_L,V_x,V_xa),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 243.39/243.43 0 [] -c_in(c_Pair(V_x,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(V_L,V_a,V_b),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|V_a=V_b.
% 243.39/243.43 0 [] -c_in(c_Pair(V_b,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|V_y=V_x|V_x=V_y| -c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|V_x=V_b|c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(V_L,V_x,V_b),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 243.39/243.43 0 [] V_x=V_a|V_xa=V_x| -c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|V_a=V_x|c_in(c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(V_L,V_a,V_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 243.39/243.43 0 [] c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|V_x=V_a|V_y=V_a| -c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(V_L,V_a,V_b),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|V_a=V_b.
% 243.39/243.43 0 [] V_y=V_x| -c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(V_L,V_x,V_b),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|V_x=V_b|c_in(c_Pair(V_b,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|V_y=V_b.
% 243.39/243.43 0 [] -c_in(c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(V_L,V_x,V_b),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|V_x=V_b|c_in(c_Pair(V_xa,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 243.39/243.43 0 [] c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(V_L,V_a,V_b),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(V_b,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(V_x,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|V_x=V_y| -c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|V_a=V_b.
% 243.39/243.43 0 [] -c_in(c_Pair(V_x,V_xa,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|V_x=V_xa| -c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|V_x=V_xa|c_in(c_Pair(V_x,V_xa,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(V_L,V_x,V_xa),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 243.39/243.43 0 [] -c_in(c_Pair(V_xa,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|V_xa=V_x| -c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|V_x=V_b|c_in(c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(V_L,V_x,V_b),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 243.39/243.43 0 [] c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(V_L,V_a,V_b),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|V_x=V_a|V_y=V_a|V_x=V_y| -c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|V_a=V_b.
% 243.39/243.43 0 [] c_lesse_quals(c_Transitive__Closure_Ortrancl(V_r,T_a),V_s,tc_fun(tc_prod(T_a,T_a),tc_bool))| -c_lesse_quals(c_Relation_Orel__comp(c_Lattices_Olower__semilattice__class_Oinf(c_Transitive__Closure_Ortrancl(V_r,T_a),V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)),V_r,T_a,T_a,T_a),V_s,tc_fun(tc_prod(T_a,T_a),tc_bool))| -c_lesse_quals(c_Relation_OId(T_a),V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 243.39/243.43 0 [] c_FuncSet_Ocompose(c_Set_Oimage(V_f,V_A,T_b,T_a),V_f,c_FuncSet_Orestrict(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_b,T_a),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a,T_b),T_a,T_b,T_a)=c_FuncSet_Orestrict(c_COMBI(T_a),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a,T_a).
% 243.39/243.43 0 [] c_Wellfounded_Owf(V_r,T_a)|c_in(c_ATP__Linkup_Osko__Wellfounded__XwfI__1__1(V_A,V_B,V_r,T_a),V_B,T_a)| -c_lesse_quals(V_r,c_Product__Type_OSigma(V_A,c_COMBK(V_B,tc_fun(T_a,tc_bool),T_a),T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 243.39/243.43 0 [] c_Wellfounded_Owf(V_r,T_a)|c_in(c_ATP__Linkup_Osko__Wellfounded__XwfI__1__1(V_A,V_B,V_r,T_a),V_A,T_a)| -c_lesse_quals(V_r,c_Product__Type_OSigma(V_A,c_COMBK(V_B,tc_fun(T_a,tc_bool),T_a),T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 243.39/243.43 0 [] c_Relation_Orefl__on(V_A,V_r,T_a)|c_in(c_ATP__Linkup_Osko__Relation__Xrefl__on__def__1__1(V_A,V_r,T_a),V_A,T_a)| -c_lesse_quals(V_r,c_Product__Type_OSigma(V_A,c_COMBK(V_A,tc_fun(T_a,tc_bool),T_a),T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 243.39/243.43 0 [] c_Relation_Orefl__on(V_A,V_r,T_a)|c_in(c_ATP__Linkup_Osko__Relation__Xrefl__onI__1__1(V_A,V_r,T_a),V_A,T_a)| -c_lesse_quals(V_r,c_Product__Type_OSigma(V_A,c_COMBK(V_A,tc_fun(T_a,tc_bool),T_a),T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 243.39/243.43 0 [] c_Finite__Set_Ofinite(V_X,T_a)| -c_in(V_X,c_Equiv__Relations_Oquotient(V_A,V_r,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_r,c_Product__Type_OSigma(V_A,c_COMBK(V_A,tc_fun(T_a,tc_bool),T_a),T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))| -c_Finite__Set_Ofinite(V_A,T_a).
% 243.39/243.43 0 [] c_in(c_FuncSet_Orestrict(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_b,T_a),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a,T_b),c_FuncSet_OPi(c_Set_Oimage(V_f,V_A,T_b,T_a),c_COMBK(V_A,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(T_a,T_b)).
% 243.39/243.43 0 [] c_Relation_Orefl__on(V_A,V_r,T_a)| -c_in(c_Pair(c_ATP__Linkup_Osko__Relation__Xrefl__onI__1__1(V_A,V_r,T_a),c_ATP__Linkup_Osko__Relation__Xrefl__onI__1__1(V_A,V_r,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_lesse_quals(V_r,c_Product__Type_OSigma(V_A,c_COMBK(V_A,tc_fun(T_a,tc_bool),T_a),T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 243.39/243.43 0 [] c_Relation_Orefl__on(V_A,V_r,T_a)| -c_in(c_Pair(c_ATP__Linkup_Osko__Relation__Xrefl__on__def__1__1(V_A,V_r,T_a),c_ATP__Linkup_Osko__Relation__Xrefl__on__def__1__1(V_A,V_r,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_lesse_quals(V_r,c_Product__Type_OSigma(V_A,c_COMBK(V_A,tc_fun(T_a,tc_bool),T_a),T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 243.39/243.43 0 [] V_xa=V_x| -c_in(c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(V_L,V_a,V_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|V_a=V_x|c_in(c_Pair(V_xa,V_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|V_xa=V_a.
% 243.39/243.43 0 [] -c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(V_L,V_a,V_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|V_a=V_x|c_in(c_Pair(V_a,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 243.39/243.43 0 [] c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(V_L,V_a,V_b),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(V_x,V_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(V_a,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|V_x=V_y| -c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|V_a=V_b.
% 243.39/243.43 0 [] -c_in(c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|V_xa=V_x| -c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|V_xa=V_x|c_in(c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(V_L,V_xa,V_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 243.39/243.43 0 [] -c_in(c_Pair(V_a,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|V_x=V_y| -c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|V_a=V_x|c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(V_L,V_a,V_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 243.39/243.43 0 [] c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(V_L,V_a,V_b),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|V_y=V_b|V_x=V_b|V_x=V_y| -c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|V_a=V_b.
% 243.39/243.43 0 [] -c_in(c_Pair(V_xa,V_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(V_a,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|V_xa=V_x| -c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|V_a=V_x|c_in(c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(V_L,V_a,V_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 243.39/243.43 0 [] -c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|V_x=V_y| -c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|V_x=V_b|c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(V_L,V_x,V_b),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 243.39/243.43 0 [] c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(V_L,V_a,V_b),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|V_y=V_b| -c_in(c_Pair(V_a,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|V_x=V_y| -c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|V_a=V_b.
% 243.39/243.43 0 [] c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(V_L,V_a,V_b),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(V_x,V_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|V_x=V_b|V_x=V_y| -c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|V_a=V_b.
% 243.39/243.43 0 [] V_xa=V_x|V_xa=V_x| -c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|V_xa=V_x|c_in(c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(V_L,V_xa,V_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 243.39/243.43 0 [] c_lesse_quals(c_Relation_OId__on(V_A,T_a),c_Product__Type_OSigma(V_A,c_COMBK(V_A,tc_fun(T_a,tc_bool),T_a),T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 243.39/243.43 0 [] c_lesse_quals(V_r,c_Relation_Orel__comp(c_Relation_Oconverse(V_r,T_a,T_a),V_r,T_a,T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))| -c_Relation_Orefl__on(V_A,V_r,T_a).
% 243.39/243.43 0 [] c_lesse_quals(V_r,c_Product__Type_OSigma(V_A,c_COMBK(V_A,tc_fun(T_a,tc_bool),T_a),T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))| -c_Relation_Orefl__on(V_A,V_r,T_a).
% 243.39/243.43 0 [] c_lesse_quals(c_Relation_Orel__comp(V_r,V_s,T_a,T_b,T_c),c_Product__Type_OSigma(V_A,c_COMBK(V_C,tc_fun(T_c,tc_bool),T_a),T_a,T_c),tc_fun(tc_prod(T_a,T_c),tc_bool))| -c_lesse_quals(V_s,c_Product__Type_OSigma(V_B,c_COMBK(V_C,tc_fun(T_c,tc_bool),T_b),T_b,T_c),tc_fun(tc_prod(T_b,T_c),tc_bool))| -c_lesse_quals(V_r,c_Product__Type_OSigma(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 243.39/243.43 0 [] c_lesse_quals(V_r,c_Product__Type_OSigma(V_A,c_COMBK(V_A,tc_fun(T_a,tc_bool),T_a),T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a).
% 243.39/243.43 0 [] c_lesse_quals(c_Transitive__Closure_Otrancl(V_r,T_a),c_Product__Type_OSigma(V_A,c_COMBK(V_A,tc_fun(T_a,tc_bool),T_a),T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))| -c_lesse_quals(V_r,c_Product__Type_OSigma(V_A,c_COMBK(V_A,tc_fun(T_a,tc_bool),T_a),T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 243.39/243.43 0 [] c_in(c_Arrow__Order__Mirabelle_Oabove(V_L,V_x,V_y),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))| -c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|V_x=V_y.
% 243.39/243.43 0 [] c_in(c_FuncSet_Ocompose(V_A,V_f,V_g,T_a,T_c,T_b),c_FuncSet_Oextensional(V_A,T_a,T_b),tc_fun(T_a,T_b)).
% 243.39/243.43 0 [] c_lesse_quals(c_Relation_Orel__comp(V_r,V_r,T_a,T_a,T_a),V_r,tc_fun(tc_prod(T_a,T_a),tc_bool))| -c_Relation_Otrans(V_r,T_a).
% 243.39/243.43 0 [] c_in(c_FuncSet_Orestrict(V_f,V_A,T_a,T_b),c_FuncSet_Oextensional(V_A,T_a,T_b),tc_fun(T_a,T_b)).
% 243.39/243.43 0 [] c_in(V_p,c_Transitive__Closure_Otrancl(V_s,T_a),tc_prod(T_a,T_a))| -c_lesse_quals(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool))| -c_in(V_p,c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)).
% 243.39/243.43 0 [] c_lesse_quals(c_Relation_OImage(V_r,V_C,T_a,T_b),V_B,tc_fun(T_b,tc_bool))| -c_lesse_quals(V_r,c_Product__Type_OSigma(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 243.39/243.43 0 [] c_lesse_quals(c_Product__Type_OSigma(V_A,c_COMBK(V_C,tc_fun(T_a,tc_bool),T_b),T_b,T_a),c_Product__Type_OSigma(V_B,c_COMBK(V_C,tc_fun(T_a,tc_bool),T_b),T_b,T_a),tc_fun(tc_prod(T_b,T_a),tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_b,tc_bool))| -c_in(V_x,V_C,T_a).
% 243.39/243.43 0 [] c_lesse_quals(V_A,V_B,tc_fun(T_b,tc_bool))| -c_lesse_quals(c_Product__Type_OSigma(V_A,c_COMBK(V_C,tc_fun(T_a,tc_bool),T_b),T_b,T_a),c_Product__Type_OSigma(V_B,c_COMBK(V_C,tc_fun(T_a,tc_bool),T_b),T_b,T_a),tc_fun(tc_prod(T_b,T_a),tc_bool))| -c_in(V_x,V_C,T_a).
% 243.39/243.43 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_y,V_x,T_a)|c_lesse_quals(V_x,V_y,T_a).
% 243.39/243.43 0 [] c_lesse_quals(c_Relation_OImage(V_r_H,V_A_H,T_a,T_b),c_Relation_OImage(V_r,V_A,T_a,T_b),tc_fun(T_b,tc_bool))| -c_lesse_quals(V_A_H,V_A,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_r_H,V_r,tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 243.39/243.43 0 [] c_lesse_quals(c_Relation_ODomain(V_r,T_a,T_b),c_Relation_ODomain(V_s,T_a,T_b),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_r,V_s,tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 243.39/243.43 0 [] hBOOL(hAPP(V_Q,V_x))| -c_lesse_quals(V_P,V_Q,tc_fun(T_a,tc_bool))| -hBOOL(hAPP(V_P,V_x)).
% 243.39/243.43 0 [] c_Relation_Oantisym(V_r,T_a)| -c_Relation_Oantisym(V_s,T_a)| -c_lesse_quals(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 243.39/243.43 0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 243.39/243.43 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 243.39/243.43 0 [] c_Wellfounded_Owf(V_p,T_a)| -c_lesse_quals(V_p,V_r,tc_fun(tc_prod(T_a,T_a),tc_bool))| -c_Wellfounded_Owf(V_r,T_a).
% 243.39/243.43 0 [] hBOOL(hAPP(V_Q,V_x))| -hBOOL(hAPP(V_P,V_x))| -c_lesse_quals(V_P,V_Q,tc_fun(T_a,tc_bool)).
% 243.39/243.43 0 [] c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 243.39/243.43 0 [] c_lesse_quals(V_A,V_A,tc_fun(T_a,tc_bool)).
% 243.39/243.43 0 [] c_lesse_quals(V_x,V_x,tc_fun(T_a,tc_bool)).
% 243.39/243.43 0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_y,V_z,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 243.39/243.43 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_z,V_x,T_a)| -c_lesse_quals(V_z,V_y,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 243.39/243.43 0 [] c_lesse_quals(c_Transitive__Closure_Ortrancl(V_r,T_a),c_Transitive__Closure_Ortrancl(V_s,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))| -c_lesse_quals(V_r,c_Transitive__Closure_Ortrancl(V_s,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 243.39/243.43 0 [] -class_Orderings_Oorder(T_a)|V_x=V_y| -c_lesse_quals(V_x,V_y,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 243.39/243.43 0 [] -class_Orderings_Oorder(T_a)|V_x=V_y| -c_lesse_quals(V_y,V_x,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 243.39/243.43 0 [] -class_Orderings_Oorder(T_a)|V_x=V_y| -c_lesse_quals(V_y,V_x,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 243.39/243.43 0 [] V_A=V_B| -c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 243.39/243.43 0 [] V_A=V_B| -c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 243.39/243.43 0 [] c_lesse_quals(c_Transitive__Closure_Ortrancl(V_r,T_a),c_Transitive__Closure_Ortrancl(V_s,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))| -c_lesse_quals(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 243.39/243.43 0 [] c_lesse_quals(c_Relation_Orel__comp(V_r_H,V_s_H,T_a,T_b,T_c),c_Relation_Orel__comp(V_r,V_s,T_a,T_b,T_c),tc_fun(tc_prod(T_a,T_c),tc_bool))| -c_lesse_quals(V_s_H,V_s,tc_fun(tc_prod(T_b,T_c),tc_bool))| -c_lesse_quals(V_r_H,V_r,tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 243.39/243.43 0 [] c_Transitive__Closure_Ortrancl(V_S,T_a)=c_Transitive__Closure_Ortrancl(V_R,T_a)| -c_lesse_quals(V_S,c_Transitive__Closure_Ortrancl(V_R,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))| -c_lesse_quals(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 243.39/243.43 0 [] c_Fun_Obij__betw(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_a,T_b),V_B,V_A,T_b,T_a)| -c_Fun_Obij__betw(V_f,V_A,V_B,T_a,T_b).
% 243.39/243.43 0 [] c_lesse_quals(c_Wellfounded_Oacc(V_R2,T_a),c_Wellfounded_Oacc(V_R1,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_R1,V_R2,tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 243.39/243.43 0 [] -class_HOL_Oord(T_b)|c_lesse_quals(hAPP(V_f,V_x),hAPP(V_g,V_x),T_b)| -c_lesse_quals(V_f,V_g,tc_fun(T_a,T_b)).
% 243.39/243.43 0 [] c_in(V_t,V_B,T_a)| -c_in(V_t,V_A,T_a)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 243.39/243.43 0 [] c_in(V_x,V_B,T_a)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_in(V_x,V_A,T_a).
% 243.39/243.43 0 [] c_in(V_c,V_B,T_a)| -c_in(V_c,V_A,T_a)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 243.39/243.43 0 [] c_in(V_x,V_B,T_a)| -c_in(V_x,V_A,T_a)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 243.39/243.43 0 [] c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|V_y=V_b|V_x=V_b| -c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(V_L,V_a,V_b),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|V_a=V_b.
% 243.39/243.43 0 [] V_x=V_b|V_x=V_y| -c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|V_x=V_b|c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(V_L,V_x,V_b),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 243.39/243.43 0 [] -c_in(c_Pair(V_xa,V_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|V_xa=V_x|V_xa=V_x| -c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|V_a=V_x|c_in(c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(V_L,V_a,V_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 243.39/243.43 0 [] -c_in(c_Pair(V_x,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(V_L,V_a,V_b),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|V_a=V_b.
% 243.39/243.43 0 [] c_lesse_quals(c_Relation_Orel__comp(c_Relation_Oconverse(V_r,T_a,T_a),V_r,T_a,T_a,T_a),V_r,tc_fun(tc_prod(T_a,T_a),tc_bool))| -c_Relation_Otrans(V_r,T_a)| -c_Relation_Osym(V_r,T_a).
% 243.39/243.43 0 [] c_FuncSet_Ocompose(V_A,c_FuncSet_Orestrict(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_a,T_b),V_B,T_b,T_a),V_f,T_a,T_b,T_a)=c_FuncSet_Orestrict(c_COMBI(T_a),V_A,T_a,T_a)| -c_Fun_Obij__betw(V_f,V_A,V_B,T_a,T_b).
% 243.39/243.43 0 [] -c_in(V_y,V_x,T_a)| -c_in(V_xa,V_x,T_a)| -c_in(V_x,c_Equiv__Relations_Oquotient(V_A,V_r,T_a),tc_fun(T_a,tc_bool))| -c_in(V_x,c_Equiv__Relations_Oquotient(V_A,V_r,T_a),tc_fun(T_a,tc_bool))| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a)|c_in(c_Pair(V_xa,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a)).
% 243.39/243.43 0 [] V_X=V_Y| -c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_in(V_y,V_Y,T_a)| -c_in(V_x,V_X,T_a)| -c_in(V_Y,c_Equiv__Relations_Oquotient(V_A,V_r,T_a),tc_fun(T_a,tc_bool))| -c_in(V_X,c_Equiv__Relations_Oquotient(V_A,V_r,T_a),tc_fun(T_a,tc_bool))| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a).
% 243.39/243.43 0 [] c_in(V_a,V_A,T_a)|V_a=V_b| -c_lesse_quals(V_r,c_Product__Type_OSigma(V_A,c_COMBK(V_A,tc_fun(T_a,tc_bool),T_a),T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))| -c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)).
% 243.39/243.43 0 [] c_FuncSet_Ocompose(V_A,c_FuncSet_Orestrict(c_COMBI(T_b),V_B,T_b,T_b),V_f,T_a,T_b,T_b)=V_f| -c_in(V_f,c_FuncSet_Oextensional(V_A,T_a,T_b),tc_fun(T_a,T_b))| -c_in(V_f,c_FuncSet_OPi(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(T_a,T_b)).
% 243.39/243.43 0 [] c_FuncSet_Ocompose(V_A,V_g,c_FuncSet_Orestrict(c_COMBI(T_a),V_A,T_a,T_a),T_a,T_a,T_b)=V_g| -c_in(V_g,c_FuncSet_Oextensional(V_A,T_a,T_b),tc_fun(T_a,T_b))| -c_in(V_g,c_FuncSet_OPi(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(T_a,T_b)).
% 243.39/243.43 0 [] hAPP(V_F,v_sko__Arrow__Order__Mirabelle__Xdictator__def__1(V_F,V_i))!=hAPP(v_sko__Arrow__Order__Mirabelle__Xdictator__def__1(V_F,V_i),V_i)|c_Arrow__Order__Mirabelle_Odictator(V_F,V_i).
% 243.39/243.43 0 [] V_x=V_y| -c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),tc_prod(T_a,T_a))|c_in(V_x,c_Relation_ODomain(V_R,T_a,T_a),T_a).
% 243.39/243.43 0 [] c_in(V_x,c_Relation_ODomain(V_R,T_a,T_a),T_a)|c_in(c_Pair(V_x,V_x,T_a,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),tc_prod(T_a,T_a)).
% 243.39/243.43 0 [] c_in(V_b,c_Wellfounded_Oacc(V_r,T_a),T_a)| -c_in(c_Pair(V_b,V_a,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))| -c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a).
% 243.39/243.43 0 [] c_in(V_b,c_Wellfounded_Oacc(V_r,T_a),T_a)| -c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a)| -c_in(c_Pair(V_b,V_a,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)).
% 243.39/243.43 0 [] c_in(V_p,c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))| -c_in(V_p,V_r,tc_prod(T_a,T_a)).
% 243.39/243.43 0 [] c_in(V_p,c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))| -c_in(V_p,V_r,tc_prod(T_a,T_a)).
% 243.39/243.43 0 [] c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))| -c_in(c_Pair(V_b,V_c,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))| -c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)).
% 243.39/243.43 0 [] c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))| -c_in(c_Pair(V_b,V_c,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)).
% 243.39/243.43 0 [] c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),tc_prod(T_a,T_a))| -c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Otrancl(V_R,T_a),tc_prod(T_a,T_a))|V_x=V_y.
% 243.39/243.43 0 [] c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Otrancl(V_R,T_a),tc_prod(T_a,T_a))|V_x=V_y| -c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),tc_prod(T_a,T_a)).
% 243.39/243.43 0 [] c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Otrancl(V_R,T_a),tc_prod(T_a,T_a))|V_a=V_b| -c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),tc_prod(T_a,T_a)).
% 243.39/243.43 0 [] c_in(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),tc_prod(T_a,T_a))| -c_in(c_Pair(V_y,V_x,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)).
% 243.39/243.43 0 [] c_in(c_Pair(V_y,V_x,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))| -c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(V_r,T_a,T_a),T_a),tc_prod(T_a,T_a)).
% 243.39/243.43 0 [] c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))| -c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)).
% 243.39/243.43 0 [] c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))| -c_in(c_Pair(V_b,V_c,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))| -c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)).
% 243.39/243.43 0 [] c_in(c_Pair(V_x,V_z,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))| -c_in(c_Pair(V_y,V_z,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))| -c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)).
% 243.39/243.43 0 [] c_in(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),tc_prod(T_a,T_a))| -c_in(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),tc_prod(T_a,T_a)).
% 243.39/243.43 0 [] c_in(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),tc_prod(T_a,T_a))| -c_in(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),tc_prod(T_a,T_a)).
% 243.39/243.43 0 [] hAPP(c_FuncSet_Ocompose(V_A,V_g,V_f,T_a,T_c,T_b),V_x)=hAPP(V_g,hAPP(V_f,V_x))| -c_in(V_x,V_A,T_a).
% 243.39/243.43 0 [] hAPP(c_FuncSet_Orestrict(V_f,V_A,T_b,T_a),V_x)=hAPP(V_f,V_x)| -c_in(V_x,V_A,T_b).
% 243.39/243.43 0 [] c_in(V_x,c_Wellfounded_Oacc(V_r,T_a),T_a)| -c_Wellfounded_Owf(V_r,T_a).
% 243.39/243.43 0 [] c_Relation_Osym(c_Transitive__Closure_Otrancl(V_r,T_a),T_a)| -c_Relation_Osym(V_r,T_a).
% 243.39/243.43 0 [] c_Transitive__Closure_Otrancl(V_r,T_a)=V_r| -c_Relation_Otrans(V_r,T_a).
% 243.39/243.43 0 [] c_Relation_Osym(V_r,T_a)| -c_Relation_Osym(c_Relation_Oconverse(V_r,T_a,T_a),T_a).
% 243.39/243.43 0 [] c_Relation_Osym(c_Relation_Oconverse(V_r,T_a,T_a),T_a)| -c_Relation_Osym(V_r,T_a).
% 243.39/243.43 0 [] c_Relation_ODomain(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a)=c_Relation_ODomain(V_r,T_a,T_a).
% 243.39/243.43 0 [] c_Relation_Osym(c_Relation_OId(T_a),T_a).
% 243.39/243.43 0 [] c_Relation_Otrans(c_Relation_OId__on(V_A,T_a),T_a).
% 243.39/243.43 0 [] c_Relation_Orel__comp(c_Relation_OId(T_a),V_R,T_a,T_a,T_b)=V_R.
% 243.39/243.43 0 [] c_Relation_Orel__comp(V_R,c_Relation_OId(T_b),T_a,T_b,T_b)=V_R.
% 243.39/243.43 0 [] c_Relation_Oantisym(c_Relation_OId__on(V_A,T_a),T_a).
% 243.39/243.43 0 [] c_Wellfounded_Owf(c_Relation_Oconverse(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a),T_a)| -c_Wellfounded_Owf(c_Relation_Oconverse(V_r,T_a,T_a),T_a).
% 243.39/243.43 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).
% 243.39/243.43 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).
% 243.39/243.43 0 [] c_Relation_Osym(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a)| -c_Relation_Osym(V_r,T_a).
% 243.39/243.43 0 [] c_Wellfounded_Owf(c_Relation_Orel__comp(V_R,V_R,T_a,T_a,T_a),T_a)| -c_Wellfounded_Owf(V_R,T_a).
% 243.39/243.43 0 [] c_Wellfounded_Owf(V_R,T_a)| -c_Wellfounded_Owf(c_Relation_Orel__comp(V_R,V_R,T_a,T_a,T_a),T_a).
% 243.39/243.43 0 [] c_Relation_OImage(c_Relation_OId(T_a),V_A,T_a,T_a)=V_A.
% 243.39/243.43 0 [] hAPP(c_COMBI(T_a),V_P)=V_P.
% 243.39/243.43 0 [] c_Relation_ODomain(c_Relation_OId__on(V_A,T_a),T_a,T_a)=V_A.
% 243.39/243.43 0 [] c_Relation_Oconverse(V_r,T_a,T_a)=V_r| -c_Relation_Osym(V_r,T_a).
% 243.39/243.43 0 [] c_Relation_Oconverse(V_r,T_a,T_a)!=V_r|c_Relation_Osym(V_r,T_a).
% 243.39/243.43 0 [] c_Relation_ORange(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a)=c_Relation_ORange(V_r,T_a,T_a).
% 243.39/243.43 0 [] c_Fun_Obij__betw(V_f,V_A,V_B,T_a,T_b)| -c_Fun_Obij__betw(c_FuncSet_Orestrict(V_f,V_A,T_a,T_b),V_A,V_B,T_a,T_b).
% 243.39/243.43 0 [] c_Fun_Obij__betw(c_FuncSet_Orestrict(V_f,V_A,T_a,T_b),V_A,V_B,T_a,T_b)| -c_Fun_Obij__betw(V_f,V_A,V_B,T_a,T_b).
% 243.39/243.43 0 [] c_Relation_Otrans(c_Transitive__Closure_Otrancl(V_r,T_a),T_a).
% 243.39/243.43 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).
% 243.39/243.43 0 [] c_Relation_Osym(c_Relation_OId__on(V_A,T_a),T_a).
% 243.39/243.43 0 [] c_Relation_Orefl__on(V_A,c_Relation_OId__on(V_A,T_a),T_a).
% 243.39/243.43 0 [] c_Wellfounded_Owf(c_Relation_Oinv__image(V_r,V_f,T_a,T_b),T_b)| -c_Wellfounded_Owf(V_r,T_a).
% 243.39/243.43 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).
% 243.39/243.43 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).
% 243.39/243.43 0 [] c_Transitive__Closure_Otrancl(c_Transitive__Closure_Ortrancl(V_R,T_a),T_a)=c_Transitive__Closure_Ortrancl(V_R,T_a).
% 243.39/243.43 0 [] c_Relation_Otrans(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a).
% 243.39/243.43 0 [] c_Relation_Otrans(V_r,T_a)| -c_Relation_Otrans(c_Relation_Oconverse(V_r,T_a,T_a),T_a).
% 243.39/243.43 0 [] c_Relation_Otrans(c_Relation_Oconverse(V_r,T_a,T_a),T_a)| -c_Relation_Otrans(V_r,T_a).
% 243.39/243.43 0 [] c_Relation_Oconverse(c_Relation_OId(T_a),T_a,T_a)=c_Relation_OId(T_a).
% 243.39/243.43 0 [] c_Wellfounded_Owf(c_Transitive__Closure_Otrancl(V_r,T_a),T_a)| -c_Wellfounded_Owf(V_r,T_a).
% 243.39/243.43 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).
% 243.39/243.43 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).
% 243.39/243.43 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).
% 243.39/243.43 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).
% 243.39/243.43 0 [] c_Relation_Oconverse(c_Relation_OId__on(V_A,T_a),T_a,T_a)=c_Relation_OId__on(V_A,T_a).
% 243.39/243.43 0 [] c_Relation_Orel__comp(c_Relation_Oconverse(V_r,T_a,T_a),V_r,T_a,T_a,T_a)!=V_r|c_Equiv__Relations_Oe_quiv(c_Relation_ODomain(V_r,T_a,T_a),V_r,T_a).
% 243.39/243.43 0 [] c_Relation_Oantisym(c_Relation_OId(T_a),T_a).
% 243.39/243.43 0 [] c_Relation_ORange(c_Relation_Oconverse(V_r,T_a,T_b),T_b,T_a)=c_Relation_ODomain(V_r,T_a,T_b).
% 243.39/243.43 0 [] c_Relation_ORange(c_Relation_OId__on(V_A,T_a),T_a,T_a)=V_A.
% 243.39/243.43 0 [] c_Relation_Oconverse(c_Relation_Oconverse(V_r,T_a,T_b),T_b,T_a)=V_r.
% 243.39/243.43 0 [] c_Relation_Otrans(c_Relation_OId(T_a),T_a).
% 243.39/243.43 0 [] c_Relation_Orel__comp(c_Relation_Oconverse(V_r,T_a,T_a),V_r,T_a,T_a,T_a)=V_r| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a).
% 243.39/243.43 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).
% 243.39/243.43 0 [] c_Relation_Oantisym(V_r,T_a)| -c_Relation_Oantisym(c_Relation_Oconverse(V_r,T_a,T_a),T_a).
% 243.39/243.43 0 [] c_Relation_Oantisym(c_Relation_Oconverse(V_r,T_a,T_a),T_a)| -c_Relation_Oantisym(V_r,T_a).
% 243.39/243.43 0 [] c_Fun_Obij__betw(c_FuncSet_Ocompose(V_A,V_g,V_f,T_a,T_b,T_c),V_A,V_C,T_a,T_c)| -c_Fun_Obij__betw(V_g,V_B,V_C,T_b,T_c)| -c_Fun_Obij__betw(V_f,V_A,V_B,T_a,T_b).
% 243.39/243.43 0 [] c_Relation_Orefl__on(V_A,V_r,T_a)| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a).
% 243.39/243.43 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).
% 243.39/243.43 0 [] c_Relation_Osym(V_r,T_a)| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a).
% 243.39/243.43 0 [] c_in(c_Arrow__Order__Mirabelle_Omkbot(V_L,V_x),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))| -c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)).
% 243.39/243.43 0 [] c_in(c_Arrow__Order__Mirabelle_Omktop(V_L,V_x),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))| -c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)).
% 243.39/243.43 0 [] c_Relation_ODomain(c_Relation_Oconverse(V_r,T_b,T_a),T_a,T_b)=c_Relation_ORange(V_r,T_b,T_a).
% 243.39/243.43 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).
% 243.39/243.43 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).
% 243.39/243.43 0 [] c_Relation_ORange(V_r,T_b,T_a)=c_Relation_ODomain(c_Relation_Oconverse(V_r,T_b,T_a),T_a,T_b).
% 243.39/243.43 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).
% 243.39/243.43 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).
% 243.39/243.43 0 [] c_Relation_Otrans(V_r,T_a)| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a).
% 243.39/243.43 0 [] c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Otrancl(V_R,T_a),T_a)=c_Transitive__Closure_Ortrancl(V_R,T_a).
% 243.39/243.43 0 [] c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a)=c_Transitive__Closure_Ortrancl(V_r,T_a).
% 243.39/243.43 0 [] hAPP(c_Recdef_Ocut(V_f,V_R,V_a,T_a,T_b),V_x)=hAPP(V_f,V_x)| -c_in(c_Pair(V_x,V_a,T_a,T_a),V_R,tc_prod(T_a,T_a)).
% 243.39/243.43 0 [] hAPP(c_Recdef_Ocut(V_f,V_r,V_a,T_a,T_b),V_x)=hAPP(V_f,V_x)| -c_in(c_Pair(V_x,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a)).
% 243.39/243.43 0 [] c_FunDef_Oin__rel(V_R,V_x,V_y,T_a,T_b)| -c_in(c_Pair(V_x,V_y,T_a,T_b),V_R,tc_prod(T_a,T_b)).
% 243.39/243.43 0 [] c_in(c_Pair(V_x,V_y,T_a,T_b),V_R,tc_prod(T_a,T_b))| -c_FunDef_Oin__rel(V_R,V_x,V_y,T_a,T_b).
% 243.39/243.43 0 [] c_in(c_Pair(V_x,V_z,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_in(c_Pair(V_y,V_z,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_Relation_Otrans(V_r,T_a).
% 243.39/243.43 0 [] c_in(c_Pair(V_a,V_c,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_in(c_Pair(V_b,V_c,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_Relation_Otrans(V_r,T_a).
% 243.39/243.43 0 [] c_in(c_Pair(V_a,V_b,T_a,T_b),c_Relation_Oconverse(V_r,T_b,T_a),tc_prod(T_a,T_b))| -c_in(c_Pair(V_b,V_a,T_b,T_a),V_r,tc_prod(T_b,T_a)).
% 243.39/243.43 0 [] c_in(c_Pair(V_b,V_a,T_b,T_a),c_Relation_Oconverse(V_r,T_a,T_b),tc_prod(T_b,T_a))| -c_in(c_Pair(V_a,V_b,T_a,T_b),V_r,tc_prod(T_a,T_b)).
% 243.39/243.43 0 [] c_in(c_Pair(V_b,V_a,T_b,T_a),V_r,tc_prod(T_b,T_a))| -c_in(c_Pair(V_a,V_b,T_a,T_b),c_Relation_Oconverse(V_r,T_b,T_a),tc_prod(T_a,T_b)).
% 243.39/243.43 0 [] -c_in(c_Pair(V_x,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_Relation_Oirrefl(V_r,T_a).
% 243.39/243.43 0 [] c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))| -c_in(c_Pair(V_b,V_c,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)).
% 243.39/243.43 0 [] c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))| -c_in(c_Pair(V_b,V_c,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))| -c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)).
% 243.39/243.43 0 [] c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))| -c_in(c_Pair(V_b,V_c,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)).
% 243.39/243.43 0 [] c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))| -c_in(c_Pair(V_b,V_c,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))| -c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)).
% 243.39/243.43 0 [] c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))| -c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)).
% 243.39/243.43 0 [] c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))| -c_in(c_Pair(V_b,V_c,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))| -c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)).
% 243.39/243.43 0 [] c_in(c_Pair(V_a,V_a,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)).
% 243.39/243.43 0 [] c_in(c_Pair(V_x,V_x,T_a,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),tc_prod(T_a,T_a)).
% 243.39/243.43 0 [] -c_in(c_Pair(V_x,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_in(c_Pair(V_a,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_Wellfounded_Owf(V_r,T_a).
% 243.39/243.43 0 [] V_x=V_y| -c_in(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_Relation_Oantisym(V_r,T_a).
% 243.39/243.43 0 [] V_a=V_b| -c_in(c_Pair(V_b,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_Relation_Oantisym(V_r,T_a).
% 243.39/243.43 0 [] hAPP(V_f,V_y)=hAPP(V_f,V_z)| -c_in(c_Pair(V_y,V_z,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_Equiv__Relations_Ocongruent(V_r,V_f,T_a,T_b).
% 243.39/243.43 0 [] V_x=V_y| -c_in(c_Pair(V_x,V_y,T_a,T_a),c_Relation_OId__on(V_A,T_a),tc_prod(T_a,T_a)).
% 243.39/243.43 0 [] c_Recdef_Ocut(V_f,V_r,V_x,T_a,T_b)!=c_Recdef_Ocut(V_g,V_r,V_x,T_a,T_b)|hAPP(V_f,V_y)=hAPP(V_g,V_y)| -c_in(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)).
% 243.39/243.43 0 [] V_a=V_b| -c_in(c_Pair(V_a,V_b,T_a,T_a),c_Relation_OId(T_a),tc_prod(T_a,T_a)).
% 243.39/243.43 0 [] c_in(c_Pair(V_x,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_Nitpick_Orefl_H(V_r,T_a).
% 243.39/243.43 0 [] -c_in(c_Pair(V_a,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_Wellfounded_Owf(V_r,T_a).
% 243.39/243.43 0 [] c_in(c_Pair(V_x,V_y,T_a,T_a),c_Relation_Oinv__image(V_r,V_f,T_b,T_a),tc_prod(T_a,T_a))| -c_in(c_Pair(hAPP(V_f,V_x),hAPP(V_f,V_y),T_b,T_b),V_r,tc_prod(T_b,T_b)).
% 243.39/243.43 0 [] c_in(c_Pair(hAPP(V_f,V_x),hAPP(V_f,V_y),T_b,T_b),V_r,tc_prod(T_b,T_b))| -c_in(c_Pair(V_x,V_y,T_a,T_a),c_Relation_Oinv__image(V_r,V_f,T_b,T_a),tc_prod(T_a,T_a)).
% 243.39/243.43 0 [] c_in(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_Relation_Osym(V_r,T_a).
% 243.39/243.43 0 [] c_in(c_Pair(V_b,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_Relation_Osym(V_r,T_a).
% 243.39/243.43 0 [] c_in(c_Pair(V_a,V_c,T_a,T_c),c_Relation_Orel__comp(V_r,V_s,T_a,T_b,T_c),tc_prod(T_a,T_c))| -c_in(c_Pair(V_b,V_c,T_b,T_c),V_s,tc_prod(T_b,T_c))| -c_in(c_Pair(V_a,V_b,T_a,T_b),V_r,tc_prod(T_a,T_b)).
% 243.39/243.43 0 [] c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Otrancl(V_R,T_a),tc_prod(T_a,T_a))| -c_in(c_Pair(V_b,V_c,T_a,T_a),V_R,tc_prod(T_a,T_a))| -c_in(c_Pair(V_a,V_b,T_a,T_a),V_R,tc_prod(T_a,T_a)).
% 243.39/243.43 0 [] c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))| -c_in(c_Pair(V_b,V_c,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))| -c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)).
% 243.39/243.43 0 [] c_in(c_Pair(V_x,V_x,T_a,T_a),c_Relation_OId(T_a),tc_prod(T_a,T_a)).
% 243.39/243.43 0 [] c_in(c_Pair(V_a,V_a,T_a,T_a),c_Relation_OId(T_a),tc_prod(T_a,T_a)).
% 243.39/243.43 0 [] c_Product__Type_OSigma(V_A,c_COMBK(V_C,tc_fun(T_a,tc_bool),T_b),T_b,T_a)!=c_Product__Type_OSigma(V_B,c_COMBK(V_C,tc_fun(T_a,tc_bool),T_b),T_b,T_a)| -c_in(V_x,V_C,T_a)|V_A=V_B.
% 243.39/243.43 0 [] c_in(c_FuncSet_Orestrict(V_f,V_A,T_a,T_b),c_FuncSet_OPi(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(T_a,T_b))|c_in(c_FuncSet_Osko__FuncSet__Xrestrict__in__funcset__1__1(V_A,V_B,V_f,T_a,T_b),V_A,T_a).
% 243.39/243.43 0 [] c_in(c_FuncSet_Orestrict(V_f,V_A,T_a,T_b),c_FuncSet_OPi(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(T_a,T_b))| -c_in(hAPP(V_f,c_FuncSet_Osko__FuncSet__Xrestrict__in__funcset__1__1(V_A,V_B,V_f,T_a,T_b)),V_B,T_b).
% 243.39/243.43 0 [] c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(V_L,V_z),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|V_x=V_y|V_x=V_z.
% 243.39/243.43 0 [] c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(V_L,V_z),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|V_y=V_z|V_x=V_z.
% 243.39/243.43 0 [] -c_in(c_Pair(V_x,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(V_L,V_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 243.39/243.43 0 [] -c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(V_L,V_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 243.39/243.43 0 [] c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|V_y=V_z| -c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(V_L,V_z),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 243.39/243.43 0 [] V_x=V_y|V_y=V_x|c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(V_L,V_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 243.39/243.43 0 [] -c_in(c_Pair(V_x,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(V_L,V_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 243.39/243.43 0 [] -c_in(c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(V_L,V_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 243.39/243.43 0 [] c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(V_L,V_z),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|V_x=V_y|V_y=V_z.
% 243.39/243.43 0 [] c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(V_L,V_z),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|V_x=V_z|V_y=V_z.
% 243.39/243.43 0 [] V_xa=V_x|V_xa=V_x|c_in(c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(V_L,V_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 243.39/243.43 0 [] c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|V_x=V_z| -c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(V_L,V_z),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 243.39/243.43 0 [] c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(V_F,V_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(V_F,V_xa),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(V_xa,v_sko__Arrow__Order__Mirabelle__XIIA__def__1(V_a,V_b,V_x,V_xa)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(V_x,v_sko__Arrow__Order__Mirabelle__XIIA__def__1(V_a,V_b,V_x,V_xa)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(V_xa,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))| -c_in(V_x,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))| -c_Arrow__Order__Mirabelle_OIIA(V_F).
% 243.39/243.43 0 [] c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(V_F,V_xa),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(V_F,V_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(V_xa,v_sko__Arrow__Order__Mirabelle__XIIA__def__1(V_a,V_b,V_x,V_xa)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(V_x,v_sko__Arrow__Order__Mirabelle__XIIA__def__1(V_a,V_b,V_x,V_xa)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(V_xa,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))| -c_in(V_x,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))| -c_Arrow__Order__Mirabelle_OIIA(V_F).
% 243.39/243.43 0 [] c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(V_F,V_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(V_F,V_xa),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(V_xa,v_sko__Arrow__Order__Mirabelle__XIIA__def__1(V_a,V_b,V_x,V_xa)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(V_x,v_sko__Arrow__Order__Mirabelle__XIIA__def__1(V_a,V_b,V_x,V_xa)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(V_xa,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))| -c_in(V_x,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))| -c_Arrow__Order__Mirabelle_OIIA(V_F).
% 243.39/243.43 0 [] c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(V_F,V_xa),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(V_F,V_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(V_xa,v_sko__Arrow__Order__Mirabelle__XIIA__def__1(V_a,V_b,V_x,V_xa)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(V_x,v_sko__Arrow__Order__Mirabelle__XIIA__def__1(V_a,V_b,V_x,V_xa)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(V_xa,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))| -c_in(V_x,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))| -c_Arrow__Order__Mirabelle_OIIA(V_F).
% 243.39/243.43 0 [] c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(V_F,V_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(V_x,v_sko__Arrow__Order__Mirabelle__Xunanimity__def__1(V_a,V_b,V_x)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(V_x,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))| -c_Arrow__Order__Mirabelle_Ounanimity(V_F).
% 243.39/243.43 0 [] c_in(c_Pair(V_a,V_b,T_a,T_b),c_Product__Type_OSigma(V_A,V_B,T_a,T_b),tc_prod(T_a,T_b))| -c_in(V_b,hAPP(V_B,V_a),T_b)| -c_in(V_a,V_A,T_a).
% 243.39/243.43 0 [] c_in(c_Pair(V_a,V_b,T_a,T_b),c_Product__Type_OSigma(V_A,V_B,T_a,T_b),tc_prod(T_a,T_b))| -c_in(V_b,hAPP(V_B,V_a),T_b)| -c_in(V_a,V_A,T_a).
% 243.39/243.43 0 [] c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a)| -c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_in(V_b,c_Wellfounded_Oacc(V_r,T_a),T_a).
% 243.39/243.43 0 [] c_in(V_y,c_Wellfounded_Oacc(V_r,T_a),T_a)| -c_in(c_Pair(V_y,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a).
% 243.39/243.43 0 [] c_in(V_b,c_Relation_OImage(V_r,V_A,T_a,T_b),T_b)| -c_in(c_Pair(V_a,V_b,T_a,T_b),V_r,tc_prod(T_a,T_b))| -c_in(V_a,V_A,T_a).
% 243.39/243.43 0 [] c_in(V_b,c_Relation_OImage(V_r,V_A,T_b,T_a),T_a)| -c_in(c_Pair(V_x,V_b,T_b,T_a),V_r,tc_prod(T_b,T_a))| -c_in(V_x,V_A,T_b).
% 243.39/243.43 0 [] c_in(V_x,V_A,T_a)| -c_in(c_Pair(V_x,V_y,T_a,T_a),c_Relation_OId__on(V_A,T_a),tc_prod(T_a,T_a)).
% 243.39/243.43 0 [] c_in(c_Pair(V_x,V_x,T_a,T_a),c_Relation_OId__on(V_A,T_a),tc_prod(T_a,T_a))| -c_in(V_x,V_A,T_a).
% 243.39/243.43 0 [] c_in(V_y,V_A,T_a)| -c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a).
% 243.39/243.43 0 [] c_in(V_x,V_A,T_a)| -c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a).
% 243.39/243.43 0 [] c_in(V_a,c_Relation_ORange(V_r,T_b,T_a),T_a)| -c_in(c_Pair(V_x,V_a,T_b,T_a),V_r,tc_prod(T_b,T_a)).
% 243.39/243.43 0 [] c_in(V_b,c_Relation_ORange(V_r,T_a,T_b),T_b)| -c_in(c_Pair(V_a,V_b,T_a,T_b),V_r,tc_prod(T_a,T_b)).
% 243.39/243.43 0 [] c_in(V_a,c_Relation_ODomain(V_r,T_a,T_b),T_a)| -c_in(c_Pair(V_a,V_x,T_a,T_b),V_r,tc_prod(T_a,T_b)).
% 243.39/243.43 0 [] c_in(V_a,c_Relation_ODomain(V_r,T_a,T_b),T_a)| -c_in(c_Pair(V_a,V_b,T_a,T_b),V_r,tc_prod(T_a,T_b)).
% 243.39/243.43 0 [] c_in(V_b,hAPP(V_B,V_a),T_b)| -c_in(c_Pair(V_a,V_b,T_a,T_b),c_Product__Type_OSigma(V_A,V_B,T_a,T_b),tc_prod(T_a,T_b)).
% 243.39/243.43 0 [] c_in(V_a,V_A,T_a)| -c_in(c_Pair(V_a,V_b,T_a,T_b),c_Product__Type_OSigma(V_A,V_B,T_a,T_b),tc_prod(T_a,T_b)).
% 243.39/243.43 0 [] c_in(c_Pair(V_xa,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a))|c_in(c_Pair(V_x,V_xa,T_a,T_a),V_r,tc_prod(T_a,T_a))|V_x=V_xa| -c_in(V_xa,V_A,T_a)| -c_in(V_x,V_A,T_a)| -c_Relation_Ototal__on(V_A,V_r,T_a).
% 243.39/243.43 0 [] c_in(c_Pair(V_x,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_in(V_x,V_A,T_a)| -c_Relation_Orefl__on(V_A,V_r,T_a).
% 243.39/243.43 0 [] c_in(V_y,V_A,T_a)| -c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_Relation_Orefl__on(V_A,V_r,T_a).
% 243.39/243.43 0 [] c_in(V_x,V_A,T_a)| -c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_Relation_Orefl__on(V_A,V_r,T_a).
% 243.39/243.43 0 [] c_in(c_Pair(V_a,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_in(V_a,V_A,T_a)| -c_Relation_Orefl__on(V_A,V_r,T_a).
% 243.39/243.43 0 [] c_in(V_f,c_FuncSet_OPi(V_A,V_B,T_a,T_b),tc_fun(T_a,T_b))|c_in(c_FuncSet_Osko__FuncSet__XPi__I__1__1(V_A,V_B,V_f,T_a,T_b),V_A,T_a).
% 243.39/243.43 0 [] c_in(V_f,c_FuncSet_OPi(V_A,V_B,T_a,T_b),tc_fun(T_a,T_b))|c_in(c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(V_A,V_B,V_f,T_a,T_b),V_A,T_a).
% 243.39/243.43 0 [] c_in(V_f,c_FuncSet_OPi(V_A,V_B,T_a,T_b),tc_fun(T_a,T_b))| -c_in(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)),T_b).
% 243.39/243.43 0 [] c_in(V_f,c_FuncSet_OPi(V_A,V_B,T_a,T_b),tc_fun(T_a,T_b))| -c_in(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)),T_b).
% 243.39/243.43 0 [] c_FuncSet_Ocompose(V_A,V_h,c_FuncSet_Ocompose(V_A,V_g,V_f,T_a,T_b,T_c),T_a,T_c,T_d)=c_FuncSet_Ocompose(V_A,c_FuncSet_Ocompose(V_B,V_h,V_g,T_b,T_c,T_d),V_f,T_a,T_b,T_d)| -c_in(V_h,c_FuncSet_OPi(V_C,c_COMBK(V_D,tc_fun(T_d,tc_bool),T_c),T_c,T_d),tc_fun(T_c,T_d))| -c_in(V_g,c_FuncSet_OPi(V_B,c_COMBK(V_C,tc_fun(T_c,tc_bool),T_b),T_b,T_c),tc_fun(T_b,T_c))| -c_in(V_f,c_FuncSet_OPi(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(T_a,T_b)).
% 243.39/243.43 0 [] c_in(c_FuncSet_Ocompose(V_A,V_g,V_f,T_a,T_b,T_c),c_FuncSet_OPi(V_A,c_COMBK(V_C,tc_fun(T_c,tc_bool),T_a),T_a,T_c),tc_fun(T_a,T_c))| -c_in(V_g,c_FuncSet_OPi(V_B,c_COMBK(V_C,tc_fun(T_c,tc_bool),T_b),T_b,T_c),tc_fun(T_b,T_c))| -c_in(V_f,c_FuncSet_OPi(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(T_a,T_b)).
% 243.39/243.43 0 [] c_in(c_COMBI(T_a),c_FuncSet_OPi(V_A,c_COMBK(V_A,tc_fun(T_a,tc_bool),T_a),T_a,T_a),tc_fun(T_a,T_a)).
% 243.39/243.43 0 [] c_in(V_f,c_FuncSet_OPi(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(T_a,T_b))| -c_Fun_Obij__betw(V_f,V_A,V_B,T_a,T_b).
% 243.39/243.43 0 [] -c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(V_y,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|V_x=V_y| -c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)).
% 243.39/243.43 0 [] c_in(c_Pair(V_y,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|V_x=V_y| -c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)).
% 243.39/243.43 0 [] -c_in(c_Pair(V_b,V_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)).
% 243.39/243.44 0 [] c_in(V_f,c_FuncSet_OPi(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(T_a,T_b))| -c_in(hAPP(V_f,c_FuncSet_Osko__FuncSet__XfuncsetI__1__1(V_A,V_B,V_f,T_a,T_b)),V_B,T_b).
% 243.39/243.44 0 [] c_in(V_f,c_FuncSet_OPi(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(T_a,T_b))|c_in(c_FuncSet_Osko__FuncSet__XfuncsetI__1__1(V_A,V_B,V_f,T_a,T_b),V_A,T_a).
% 243.39/243.44 0 [] c_Arrow__Order__Mirabelle_Odictator(V_F,V_i)|c_in(v_sko__Arrow__Order__Mirabelle__Xdictator__def__1(V_F,V_i),c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))).
% 243.39/243.44 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.
% 243.39/243.44 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.
% 243.39/243.44 0 [] hAPP(V_F,V_x)=hAPP(V_x,V_i)| -c_in(V_x,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))| -c_Arrow__Order__Mirabelle_Odictator(V_F,V_i).
% 243.39/243.44 0 [] c_in(hAPP(V_f,V_x),hAPP(V_B,V_x),T_b)| -c_in(V_x,V_A,T_a)| -c_in(V_f,c_FuncSet_OPi(V_A,V_B,T_a,T_b),tc_fun(T_a,T_b)).
% 243.39/243.44 0 [] -c_in(V_x,V_A,T_a)|c_in(hAPP(V_f,V_x),hAPP(V_B,V_x),T_b)| -c_in(V_f,c_FuncSet_OPi(V_A,V_B,T_a,T_b),tc_fun(T_a,T_b)).
% 243.39/243.44 0 [] c_in(hAPP(V_f,V_x),V_B,T_b)| -c_in(V_x,V_A,T_a)| -c_in(V_f,c_FuncSet_OPi(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(T_a,T_b)).
% 243.39/243.44 0 [] c_in(V_x,V_S,T_a)| -hBOOL(hAPP(V_S,V_x)).
% 243.39/243.44 0 [] hBOOL(hAPP(V_S,V_x))| -c_in(V_x,V_S,T_a).
% 243.39/243.44 0 [] hAPP(c_COMBK(V_P,T_a,T_b),V_Q)=V_P.
% 243.39/243.44 0 [] c_in(v_F,c_FuncSet_OPi(c_Arrow__Order__Mirabelle_OProf,c_COMBK(c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))).
% 243.39/243.44 0 [] -c_Arrow__Order__Mirabelle_Odictator(v_F,v_i).
% 243.39/243.44 0 [] c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,V_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(V_x,v_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|V_a=V_b| -c_in(V_x,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))).
% 243.39/243.44 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).
% 243.39/243.44 0 [] class_Lattices_Olower__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 243.39/243.44 0 [] class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))| -class_Lattices_Obounded__lattice(T_1).
% 243.39/243.44 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).
% 243.39/243.44 0 [] class_Orderings_Opreorder(tc_fun(T_2,T_1))| -class_Orderings_Opreorder(T_1).
% 243.39/243.44 0 [] class_Lattices_Olattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 243.39/243.44 0 [] class_Orderings_Oorder(tc_fun(T_2,T_1))| -class_Orderings_Oorder(T_1).
% 243.39/243.44 0 [] class_Orderings_Obot(tc_fun(T_2,T_1))| -class_Orderings_Obot(T_1).
% 243.39/243.44 0 [] class_HOL_Oord(tc_fun(T_2,T_1))| -class_HOL_Oord(T_1).
% 243.39/243.44 0 [] class_Lattices_Olower__semilattice(tc_bool).
% 243.39/243.44 0 [] class_Lattices_Obounded__lattice(tc_bool).
% 243.39/243.44 0 [] class_Finite__Set_Ofinite_Ofinite(tc_bool).
% 243.39/243.44 0 [] class_Orderings_Opreorder(tc_bool).
% 243.39/243.44 0 [] class_Lattices_Olattice(tc_bool).
% 243.39/243.44 0 [] class_Orderings_Oorder(tc_bool).
% 243.39/243.44 0 [] class_Orderings_Obot(tc_bool).
% 243.39/243.44 0 [] class_HOL_Oord(tc_bool).
% 243.39/243.44 0 [] hAPP(c_COMBK(V_P,T_a,T_b),V_Q)=V_P.
% 243.39/243.44 0 [] hAPP(c_COMBI(T_a),V_P)=V_P.
% 243.39/243.44 0 [] c_fe_qual(V_x,V_x,T_a).
% 243.39/243.44 0 [] V_X=V_Y| -c_fe_qual(V_X,V_Y,T_a).
% 243.39/243.44 end_of_list.
% 243.39/243.44
% 243.39/243.44 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 243.39/243.44
% 243.39/243.44 This ia a non-Horn set with equality. The strategy will be
% 243.39/243.44 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 243.39/243.44 deletion, with positive clauses in sos and nonpositive
% 243.39/243.44 clauses in usable.
% 243.39/243.44
% 243.39/243.44 dependent: set(knuth_bendix).
% 243.39/243.44 dependent: set(anl_eq).
% 243.39/243.44 dependent: set(para_from).
% 243.39/243.44 dependent: set(para_into).
% 243.39/243.44 dependent: clear(para_from_right).
% 243.39/243.44 dependent: clear(para_into_right).
% 243.39/243.44 dependent: set(para_from_vars).
% 243.39/243.44 dependent: set(eq_units_both_ways).
% 243.39/243.44 dependent: set(dynamic_demod_all).
% 243.39/243.44 dependent: set(dynamic_demod).
% 243.39/243.44 dependent: set(order_eq).
% 243.39/243.44 dependent: set(back_demod).
% 243.39/243.44 dependent: set(lrpo).
% 243.39/243.44 dependent: set(hyper_res).
% 243.39/243.44 dependent: set(unit_deletion).
% 243.39/243.44 dependent: set(factor).
% 243.39/243.44
% 243.39/243.44 ------------> process usable:
% 243.39/243.44 ** KEPT (pick-wt=19): 1 [] A=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))| -c_lesse_quals(A,c_Relation_OImage(C,A,B,B),tc_fun(B,tc_bool))| -c_Wellfounded_Owf(C,B).
% 243.39/243.44 ** KEPT (pick-wt=11): 2 [] -hBOOL(hAPP(A,B))| -c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C).
% 243.39/243.44 ** KEPT (pick-wt=7): 3 [] -c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B).
% 243.39/243.44 Following clause subsumed by 3 during input processing: 0 [] -c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B).
% 243.39/243.44 Following clause subsumed by 3 during input processing: 0 [] hBOOL(hAPP(A,B))| -c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C).
% 243.39/243.44 Following clause subsumed by 3 during input processing: 0 [] -c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B).
% 243.39/243.44 ** KEPT (pick-wt=17): 4 [] c_Relation_ODomain(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))|A=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(B,C),tc_bool)).
% 243.39/243.44 ** KEPT (pick-wt=13): 5 [] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|c_in(A,B,C).
% 243.39/243.44 ** KEPT (pick-wt=18): 6 [] 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.
% 243.39/243.44 ** KEPT (pick-wt=13): 7 [] A=B| -c_in(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C).
% 243.39/243.44 ** KEPT (pick-wt=16): 8 [] 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)).
% 243.39/243.44 ** KEPT (pick-wt=7): 9 [] -class_Orderings_Obot(A)|c_lesse_quals(c_Orderings_Obot__class_Obot(A),B,A).
% 243.39/243.44 ** KEPT (pick-wt=9): 10 [] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 243.39/243.44 ** KEPT (pick-wt=10): 11 [] -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).
% 243.39/243.44 ** KEPT (pick-wt=10): 12 [] -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).
% 243.39/243.44 ** KEPT (pick-wt=7): 13 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B)).
% 243.39/243.44 ** KEPT (pick-wt=19): 14 [] -c_in(A,B,C)| -c_in(A,D,C)|c_Lattices_Olower__semilattice__class_Oinf(D,B,tc_fun(C,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 243.39/243.44 ** KEPT (pick-wt=27): 15 [] 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.
% 243.39/243.44 ** KEPT (pick-wt=27): 16 [] 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.
% 243.39/243.44 ** KEPT (pick-wt=27): 17 [] 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.
% 243.39/243.44 ** KEPT (pick-wt=27): 18 [] 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.
% 243.39/243.44 ** KEPT (pick-wt=15): 19 [] A=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))| -c_lesse_quals(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool)).
% 243.39/243.44 ** KEPT (pick-wt=9): 20 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 243.39/243.44 ** KEPT (pick-wt=16): 21 [] 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)).
% 243.39/243.44 ** KEPT (pick-wt=27): 22 [] A=c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)|A=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))| -c_lesse_quals(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),tc_fun(C,tc_bool)).
% 243.39/243.44 ** KEPT (pick-wt=17): 23 [] c_Relation_ORange(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|A=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(B,C),tc_bool)).
% 243.39/243.44 ** KEPT (pick-wt=16): 24 [] c_Relation_Orel__comp(A,A,B,B,B)!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(B,B),tc_bool))|c_Wellfounded_Owf(A,B).
% 243.39/243.44 ** KEPT (pick-wt=20): 25 [] c_Set_Oimage(c_COMBK(A,B,C),D,C,B)=c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)| -c_in(E,D,C).
% 243.39/243.44 ** KEPT (pick-wt=22): 26 [] c_in(A,c_Relation_OImage(B,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C),C)| -c_in(A,D,C)| -c_Equiv__Relations_Oe_quiv(D,B,C).
% 243.39/243.44 ** KEPT (pick-wt=36): 27 [] c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|A=B| -c_in(B,c_Equiv__Relations_Oquotient(D,E,C),tc_fun(C,tc_bool))| -c_in(A,c_Equiv__Relations_Oquotient(D,E,C),tc_fun(C,tc_bool))| -c_Equiv__Relations_Oe_quiv(D,E,C).
% 243.39/243.44 ** KEPT (pick-wt=24): 28 [] c_in(c_Pair(A,B,C,D),E,tc_prod(C,D))| -c_in(B,c_Relation_OImage(E,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,D),D).
% 243.39/243.44 ** KEPT (pick-wt=24): 29 [] c_in(A,c_Relation_OImage(B,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),D,E),E)| -c_in(c_Pair(C,A,D,E),B,tc_prod(D,E)).
% 243.39/243.44 ** KEPT (pick-wt=37): 30 [] c_Relation_OImage(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)=c_Relation_OImage(A,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)| -c_in(c_Pair(B,D,C,C),A,tc_prod(C,C))| -c_Equiv__Relations_Oe_quiv(E,A,C).
% 243.39/243.44 Following clause subsumed by 30 during input processing: 0 [] c_Relation_OImage(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)=c_Relation_OImage(A,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)| -c_in(c_Pair(B,D,C,C),A,tc_prod(C,C))| -c_Equiv__Relations_Oe_quiv(E,A,C).
% 243.39/243.44 ** KEPT (pick-wt=23): 31 [] c_in(c_Relation_OImage(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C),c_Equiv__Relations_Oquotient(D,A,C),tc_fun(C,tc_bool))| -c_in(B,D,C).
% 243.39/243.44 ** KEPT (pick-wt=13): 32 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A)| -c_lesse_quals(C,D,A).
% 243.39/243.44 ** KEPT (pick-wt=13): 33 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A).
% 243.39/243.44 ** KEPT (pick-wt=13): 34 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(D,C,A),A).
% 243.39/243.44 ** KEPT (pick-wt=5): 35 [] -class_Finite__Set_Ofinite_Ofinite(A)|c_Finite__Set_Ofinite(B,A).
% 243.39/243.44 ** KEPT (pick-wt=13): 36 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(C,A,tc_fun(D,tc_bool)),B)).
% 243.39/243.44 ** KEPT (pick-wt=13): 37 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_fun(D,tc_bool)),B)).
% 243.39/243.44 ** KEPT (pick-wt=16): 38 [] 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).
% 243.39/243.44 ** KEPT (pick-wt=11): 39 [] c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(B,C).
% 243.39/243.44 ** KEPT (pick-wt=11): 40 [] c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(A,C).
% 243.39/243.44 ** KEPT (pick-wt=17): 41 [] c_in(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),D)| -c_in(A,C,D)| -c_in(A,B,D).
% 243.39/243.44 Following clause subsumed by 41 during input processing: 0 [] c_in(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),D)| -c_in(A,C,D)| -c_in(A,B,D).
% 243.39/243.44 ** KEPT (pick-wt=11): 42 [] c_in(A,c_Set_Oinsert(B,C,D),D)| -c_in(A,C,D).
% 243.39/243.44 Following clause subsumed by 42 during input processing: 0 [] c_in(A,c_Set_Oinsert(B,C,D),D)| -c_in(A,C,D).
% 243.39/243.44 ** KEPT (pick-wt=14): 43 [] c_in(A,B,C)|A=D| -c_in(A,c_Set_Oinsert(D,B,C),C).
% 243.39/243.44 ** KEPT (pick-wt=13): 44 [] c_in(A,B,C)| -c_in(A,c_Lattices_Olower__semilattice__class_Oinf(D,B,tc_fun(C,tc_bool)),C).
% 243.39/243.44 ** KEPT (pick-wt=13): 45 [] c_in(A,B,C)| -c_in(A,c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(C,tc_bool)),C).
% 243.39/243.44 ** KEPT (pick-wt=20): 46 [] c_Set_Oinsert(A,B,C)!=c_Set_Oinsert(A,D,C)|c_in(A,D,C)|c_in(A,B,C)|B=D.
% 243.39/243.44 ** KEPT (pick-wt=10): 47 [] c_Set_Oinsert(A,B,C)=B| -c_in(A,B,C).
% 243.39/243.44 ** KEPT (pick-wt=14): 48 [] -c_in(A,B,C)|c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E).
% 243.39/243.44 Following clause subsumed by 48 during input processing: 0 [] -c_in(A,B,C)|c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E).
% 243.39/243.44 Following clause subsumed by 48 during input processing: 0 [] c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)| -c_in(B,C,D).
% 243.39/243.44 Following clause subsumed by 48 during input processing: 0 [] c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)| -c_in(B,C,D).
% 243.39/243.44 ** KEPT (pick-wt=26): 49 [] c_in(c_Pair(A,c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1(B,A,C,D),D,D),B,tc_prod(D,D))| -c_in(c_Pair(A,C,D,D),c_Transitive__Closure_Otrancl(B,D),tc_prod(D,D)).
% 243.39/243.44 ** KEPT (pick-wt=26): 50 [] c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1(A,B,C,D),C,D,D),A,tc_prod(D,D))| -c_in(c_Pair(B,C,D,D),c_Transitive__Closure_Otrancl(A,D),tc_prod(D,D)).
% 243.39/243.44 ** KEPT (pick-wt=42): 51 [] c_lesse_quals(c_Product__Type_OSigma(A,B,C,D),c_Product__Type_OSigma(E,F,C,D),tc_fun(tc_prod(C,D),tc_bool))| -c_lesse_quals(hAPP(B,c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1(A,B,F,C,D)),hAPP(F,c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1(A,B,F,C,D)),tc_fun(D,tc_bool))| -c_lesse_quals(A,E,tc_fun(C,tc_bool)).
% 243.39/243.44 ** KEPT (pick-wt=40): 52 [] c_lesse_quals(c_Transitive__Closure_Otrancl(A,B),C,tc_fun(tc_prod(B,B),tc_bool))| -c_lesse_quals(c_Relation_Orel__comp(c_Lattices_Olower__semilattice__class_Oinf(c_Transitive__Closure_Otrancl(A,B),C,tc_fun(tc_prod(B,B),tc_bool)),A,B,B,B),C,tc_fun(tc_prod(B,B),tc_bool))| -c_lesse_quals(A,C,tc_fun(tc_prod(B,B),tc_bool)).
% 243.39/243.44 ** KEPT (pick-wt=43): 53 [] c_in(c_Pair(A,B,C,C),D,tc_prod(C,C))| -c_in(E,c_Lattices_Olower__semilattice__class_Oinf(c_Relation_OImage(D,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C),c_Relation_OImage(D,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C),tc_fun(C,tc_bool)),C)| -c_Equiv__Relations_Oe_quiv(F,D,C).
% 243.39/243.44 ** KEPT (pick-wt=44): 54 [] c_in(c_Pair(A,B,C,C),D,tc_prod(C,C))| -c_in(B,E,C)| -c_lesse_quals(c_Relation_OImage(D,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C),c_Relation_OImage(D,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C),tc_fun(C,tc_bool))| -c_Equiv__Relations_Oe_quiv(E,D,C).
% 243.39/243.44 ** KEPT (pick-wt=47): 55 [] c_Relation_OImage(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)!=c_Relation_OImage(A,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)| -c_in(D,c_Relation_OField(A,C),C)| -c_in(B,c_Relation_OField(A,C),C)| -c_Relation_Oantisym(A,C)| -c_Relation_Orefl__on(c_Relation_OField(A,C),A,C)|B=D.
% 243.39/243.44 ** KEPT (pick-wt=32): 56 [] 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))| -c_in(c_Pair(C,C,B,B),c_Transitive__Closure_Otrancl(A,B),tc_prod(B,B)).
% 243.39/243.44 ** KEPT (pick-wt=30): 57 [] c_Wellfounded_Owf(A,B)| -c_ATP__Linkup_Osko__Wellfounded__XwfI__1__2(C,D,A,c_ATP__Linkup_Osko__Wellfounded__XwfI__1__1(C,D,A,B),B)| -c_lesse_quals(A,c_Product__Type_OSigma(C,c_COMBK(D,tc_fun(B,tc_bool),B),B,B),tc_fun(tc_prod(B,B),tc_bool)).
% 243.39/243.44 ** KEPT (pick-wt=43): 58 [] c_Equiv__Relations_Oquotient(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),C,B)=c_Equiv__Relations_Oquotient(c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),C,B)| -c_in(c_Pair(A,D,B,B),C,tc_prod(B,B))| -c_in(D,E,B)| -c_in(A,E,B)| -c_Equiv__Relations_Oe_quiv(E,C,B).
% 243.39/243.44 ** KEPT (pick-wt=43): 59 [] c_Equiv__Relations_Oquotient(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),C,B)!=c_Equiv__Relations_Oquotient(c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),C,B)| -c_in(D,E,B)| -c_in(A,E,B)| -c_Equiv__Relations_Oe_quiv(E,C,B)|c_in(c_Pair(A,D,B,B),C,tc_prod(B,B)).
% 243.39/243.44 ** KEPT (pick-wt=40): 60 [] c_lesse_quals(c_Relation_OImage(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C),c_Relation_OImage(A,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C),tc_fun(C,tc_bool))| -c_in(c_Pair(B,D,C,C),A,tc_prod(C,C))| -c_Equiv__Relations_Oe_quiv(E,A,C).
% 243.39/243.44 ** KEPT (pick-wt=45): 61 [] c_Relation_OImage(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)!=c_Relation_OImage(A,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)| -c_in(D,E,C)| -c_in(B,E,C)| -c_Equiv__Relations_Oe_quiv(E,A,C)|c_in(c_Pair(B,D,C,C),A,tc_prod(C,C)).
% 243.39/243.44 ** KEPT (pick-wt=41): 62 [] c_Relation_OImage(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)!=c_Relation_OImage(A,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)|c_in(c_Pair(B,D,C,C),A,tc_prod(C,C))| -c_in(D,E,C)| -c_Equiv__Relations_Oe_quiv(E,A,C).
% 243.39/243.44 Following clause subsumed by 62 during input processing: 0 [] c_Relation_OImage(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)!=c_Relation_OImage(A,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)| -c_Equiv__Relations_Oe_quiv(E,A,C)|c_in(c_Pair(B,D,C,C),A,tc_prod(C,C))| -c_in(D,E,C)| -c_in(B,E,C).
% 243.39/243.44 Following clause subsumed by 30 during input processing: 0 [] c_Relation_OImage(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)=c_Relation_OImage(A,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)| -c_in(c_Pair(B,D,C,C),A,tc_prod(C,C))| -c_in(D,E,C)| -c_in(B,E,C)| -c_Equiv__Relations_Oe_quiv(E,A,C).
% 243.39/243.44 ** KEPT (pick-wt=13): 63 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A)| -c_lesse_quals(B,D,A).
% 243.39/243.44 Following clause subsumed by 34 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(D,C,A),A).
% 243.39/243.44 Following clause subsumed by 33 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A).
% 243.39/243.44 ** KEPT (pick-wt=17): 64 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 243.39/243.44 ** KEPT (pick-wt=17): 65 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,c_Lattices_Olower__semilattice__class_Oinf(D,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 243.39/243.44 ** KEPT (pick-wt=19): 66 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool))|c_in(D,A,C).
% 243.39/243.44 ** KEPT (pick-wt=19): 67 [] c_lesse_quals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool))|c_in(B,A,D).
% 243.39/243.44 Following clause subsumed by 66 during input processing: 0 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))|c_in(D,A,C)| -c_lesse_quals(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool)).
% 243.39/243.44 Following clause subsumed by 67 during input processing: 0 [] c_lesse_quals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool))|c_in(B,A,D).
% 243.39/243.44 ** KEPT (pick-wt=20): 68 [] c_Set_Oinsert(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)=c_Set_Oimage(A,C,D,E)| -c_in(B,C,D).
% 243.39/243.44 ** KEPT (pick-wt=11): 69 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),D))| -hBOOL(hAPP(B,D)).
% 243.39/243.44 ** KEPT (pick-wt=13): 70 [] c_in(A,B,C)| -c_lesse_quals(c_Set_Oinsert(A,D,C),B,tc_fun(C,tc_bool)).
% 243.39/243.44 ** KEPT (pick-wt=11): 71 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=c_Lattices_Olower__semilattice__class_Oinf(C,B,A).
% 243.39/243.44 ** KEPT (pick-wt=11): 72 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=c_Lattices_Olower__semilattice__class_Oinf(C,B,A).
% 243.39/243.44 ** KEPT (pick-wt=12): 73 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=C| -c_lesse_quals(C,B,A).
% 243.39/243.44 ** KEPT (pick-wt=12): 74 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)!=B|c_lesse_quals(B,C,A).
% 243.39/243.44 ** KEPT (pick-wt=12): 75 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=B| -c_lesse_quals(B,C,A).
% 243.39/243.44 ** KEPT (pick-wt=14): 76 [] c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool))=B| -c_lesse_quals(B,A,tc_fun(C,tc_bool)).
% 243.39/243.44 ** KEPT (pick-wt=14): 77 [] c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool))=A| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 243.39/243.44 ** KEPT (pick-wt=18): 78 [] c_in(hAPP(c_Hilbert__Choice_Oinv__into(A,B,C,D),E),A,C)| -c_in(E,c_Set_Oimage(B,A,C,D),D).
% 243.39/243.44 ** KEPT (pick-wt=34): 79 [] hAPP(c_Hilbert__Choice_Oinv__into(A,B,C,D),E)!=hAPP(c_Hilbert__Choice_Oinv__into(A,B,C,D),F)|E=F| -c_in(F,c_Set_Oimage(B,A,C,D),D)| -c_in(E,c_Set_Oimage(B,A,C,D),D).
% 243.39/243.44 ** KEPT (pick-wt=20): 80 [] c_in(hAPP(A,B),C,D)| -c_in(B,E,F)| -c_lesse_quals(c_Set_Oimage(A,E,F,D),C,tc_fun(D,tc_bool)).
% 243.39/243.44 ** KEPT (pick-wt=16): 81 [] c_Finite__Set_Ofinite(A,B)| -c_lesse_quals(A,c_Set_Oimage(C,D,E,B),tc_fun(B,tc_bool))| -c_Finite__Set_Ofinite(D,E).
% 243.39/243.44 ** KEPT (pick-wt=15): 82 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(c_Set_Oinsert(D,A,C),B,tc_fun(C,tc_bool)).
% 243.39/243.44 ** KEPT (pick-wt=15): 83 [] c_lesse_quals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool)).
% 243.39/243.44 ** KEPT (pick-wt=14): 84 [] hBOOL(hAPP(A,B))|C=B| -hBOOL(hAPP(c_Set_Oinsert(C,A,D),B)).
% 243.39/243.44 ** KEPT (pick-wt=9): 85 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(c_Set_Oinsert(C,A,B),B).
% 243.39/243.44 ** KEPT (pick-wt=9): 86 [] c_Finite__Set_Ofinite(c_Set_Oinsert(A,B,C),C)| -c_Finite__Set_Ofinite(B,C).
% 243.39/243.44 ** KEPT (pick-wt=17): 87 [] -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).
% 243.39/243.44 ** KEPT (pick-wt=17): 88 [] -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).
% 243.39/243.44 ** KEPT (pick-wt=17): 89 [] -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).
% 243.39/243.44 ** KEPT (pick-wt=17): 90 [] -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).
% 243.39/243.44 ** KEPT (pick-wt=16): 91 [] 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).
% 243.39/243.44 ** KEPT (pick-wt=24): 92 [] 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).
% 243.39/243.44 ** KEPT (pick-wt=10): 93 [] c_Finite__Set_Ofinite(c_Set_Oimage(A,B,C,D),D)| -c_Finite__Set_Ofinite(B,C).
% 243.39/243.44 ** KEPT (pick-wt=19): 94 [] hAPP(A,hAPP(c_Hilbert__Choice_Oinv__into(B,A,C,D),E))=E| -c_in(E,c_Set_Oimage(A,B,C,D),D).
% 243.39/243.44 ** KEPT (pick-wt=23): 96 [copy,95,flip.1] c_Set_Oinsert(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),D)=c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(A,B,D),C,tc_fun(D,tc_bool))| -c_in(A,C,D).
% 243.39/243.44 ** KEPT (pick-wt=23): 98 [copy,97,flip.1] c_Set_Oinsert(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),D)=c_Lattices_Olower__semilattice__class_Oinf(B,c_Set_Oinsert(A,C,D),tc_fun(D,tc_bool))| -c_in(A,B,D).
% 243.39/243.44 ** KEPT (pick-wt=9): 99 [] -class_Lattices_Olattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),B,A).
% 243.39/243.44 ** KEPT (pick-wt=9): 100 [] -class_Lattices_Olattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),C,A).
% 243.39/243.44 ** KEPT (pick-wt=17): 101 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(B,C,A).
% 243.39/243.44 Following clause subsumed by 101 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(B,C,A).
% 243.39/243.44 Following clause subsumed by 101 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(B,C,A).
% 243.39/243.44 ** KEPT (pick-wt=9): 102 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),C,A).
% 243.39/243.44 ** KEPT (pick-wt=9): 103 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),B,A).
% 243.39/243.44 ** KEPT (pick-wt=23): 104 [] c_lesse_quals(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool))| -c_lesse_quals(A,B,tc_fun(D,tc_bool)).
% 243.39/243.44 Following clause subsumed by 104 during input processing: 0 [] c_lesse_quals(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))| -c_lesse_quals(A,C,tc_fun(D,tc_bool))| -c_lesse_quals(A,B,tc_fun(D,tc_bool)).
% 243.39/243.44 ** KEPT (pick-wt=19): 105 [] c_lesse_quals(c_Set_Oinsert(A,B,C),D,tc_fun(C,tc_bool))| -c_lesse_quals(B,D,tc_fun(C,tc_bool))| -c_in(A,D,C).
% 243.39/243.44 ** KEPT (pick-wt=14): 106 [] -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).
% 243.39/243.44 ** KEPT (pick-wt=14): 107 [] -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).
% 243.39/243.44 ** KEPT (pick-wt=18): 108 [] c_lesse_quals(c_Relation_OField(A,B),c_Relation_OField(C,B),tc_fun(B,tc_bool))| -c_lesse_quals(A,C,tc_fun(tc_prod(B,B),tc_bool)).
% 243.39/243.44 ** KEPT (pick-wt=13): 109 [] c_Set_Oimage(A,B,C,D)=E| -c_Fun_Obij__betw(A,B,E,C,D).
% 243.39/243.44 ** KEPT (pick-wt=13): 110 [] c_Wellfounded_Owf(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(tc_prod(C,C),tc_bool)),C)| -c_Wellfounded_Owf(A,C).
% 243.39/243.44 ** KEPT (pick-wt=13): 111 [] c_Wellfounded_Owf(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(tc_prod(C,C),tc_bool)),C)| -c_Wellfounded_Owf(B,C).
% 243.39/243.44 ** KEPT (pick-wt=8): 112 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,B,A)=B.
% 243.39/243.44 ** KEPT (pick-wt=12): 113 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(C,B)| -c_lesse_quals(A,C,tc_fun(B,tc_bool)).
% 243.39/243.44 Following clause subsumed by 113 during input processing: 0 [] c_Finite__Set_Ofinite(A,B)| -c_lesse_quals(A,C,tc_fun(B,tc_bool))| -c_Finite__Set_Ofinite(C,B).
% 243.39/243.44 ** KEPT (pick-wt=28): 114 [] c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(D,E,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))| -c_lesse_quals(B,E,tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)).
% 243.39/243.44 ** KEPT (pick-wt=17): 115 [] hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(B,D))| -hBOOL(hAPP(A,D)).
% 243.39/243.44 ** KEPT (pick-wt=20): 116 [] c_lesse_quals(c_Set_Oimage(A,B,C,D),c_Set_Oimage(A,E,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(B,E,tc_fun(C,tc_bool)).
% 243.39/243.44 Following clause subsumed by 116 during input processing: 0 [] -c_lesse_quals(A,B,tc_fun(C,tc_bool))|c_lesse_quals(c_Set_Oimage(D,A,C,E),c_Set_Oimage(D,B,C,E),tc_fun(E,tc_bool)).
% 243.39/243.44 ** KEPT (pick-wt=18): 117 [] c_lesse_quals(c_Set_Oinsert(A,B,C),c_Set_Oinsert(A,D,C),tc_fun(C,tc_bool))| -c_lesse_quals(B,D,tc_fun(C,tc_bool)).
% 243.39/243.44 ** KEPT (pick-wt=15): 118 [] c_Wellfounded_Owf(A,B)| -c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(C,D,B,B),A,tc_prod(B,B)),B).
% 243.39/243.44 ** KEPT (pick-wt=17): 119 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(A,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(A,C,D)))| -c_in(B,c_Wellfounded_Oacc(C,D),D).
% 243.39/243.44 ** KEPT (pick-wt=16): 120 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(A,v_sko__Wellfounded__Xacc__Xinducts__1(A,C)))| -c_in(B,c_Wellfounded_Oacc(C,t_a),t_a).
% 243.39/243.44 ** KEPT (pick-wt=19): 121 [] hBOOL(hAPP(A,B))|c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(A,C,D),c_Wellfounded_Oacc(C,D),D)| -c_in(B,c_Wellfounded_Oacc(C,D),D).
% 243.39/243.44 ** KEPT (pick-wt=15): 122 [] -c_in(c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1(A,B,C),c_Wellfounded_Oacc(A,C),C)|c_in(B,c_Wellfounded_Oacc(A,C),C).
% 243.39/243.44 ** KEPT (pick-wt=17): 123 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(A,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(A,C,D)))| -c_in(B,c_Wellfounded_Oacc(C,D),D).
% 243.39/243.44 ** KEPT (pick-wt=16): 124 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(A,v_sko__Wellfounded__Xacc__Xinduct__1(A,C)))| -c_in(B,c_Wellfounded_Oacc(C,t_a),t_a).
% 243.39/243.44 ** KEPT (pick-wt=15): 125 [] c_in(A,c_Wellfounded_Oacc(B,C),C)| -c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1(B,A,C),c_Wellfounded_Oacc(B,C),C).
% 243.39/243.44 ** KEPT (pick-wt=19): 126 [] hBOOL(hAPP(A,B))|c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(A,C,D),c_Wellfounded_Oacc(C,D),D)| -c_in(B,c_Wellfounded_Oacc(C,D),D).
% 243.39/243.44 ** KEPT (pick-wt=22): 127 [] c_in(c_Arrow__Order__Mirabelle_Obelow(A,B,C),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))| -c_in(A,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|B=C.
% 243.39/243.44 ** KEPT (pick-wt=27): 128 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(A,C))| -c_in(c_Pair(C,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(A,D,E),E,E),D,tc_prod(E,E))| -c_in(B,c_Wellfounded_Oacc(D,E),E).
% 243.39/243.44 ** KEPT (pick-wt=26): 129 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(A,C))| -c_in(c_Pair(C,v_sko__Wellfounded__Xacc__Xinduct__1(A,D),t_a,t_a),D,tc_prod(t_a,t_a))| -c_in(B,c_Wellfounded_Oacc(D,t_a),t_a).
% 243.39/243.44 ** KEPT (pick-wt=28): 130 [] hBOOL(hAPP(A,B))|c_in(C,c_Wellfounded_Oacc(D,t_a),t_a)| -c_in(c_Pair(C,v_sko__Wellfounded__Xacc__Xinducts__1(A,D),t_a,t_a),D,tc_prod(t_a,t_a))| -c_in(B,c_Wellfounded_Oacc(D,t_a),t_a).
% 243.39/243.44 ** KEPT (pick-wt=26): 131 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(A,C))| -c_in(c_Pair(C,v_sko__Wellfounded__Xacc__Xinducts__1(A,D),t_a,t_a),D,tc_prod(t_a,t_a))| -c_in(B,c_Wellfounded_Oacc(D,t_a),t_a).
% 243.39/243.44 ** KEPT (pick-wt=28): 132 [] hBOOL(hAPP(A,B))|c_in(C,c_Wellfounded_Oacc(D,t_a),t_a)| -c_in(c_Pair(C,v_sko__Wellfounded__Xacc__Xinduct__1(A,D),t_a,t_a),D,tc_prod(t_a,t_a))| -c_in(B,c_Wellfounded_Oacc(D,t_a),t_a).
% 243.39/243.44 ** KEPT (pick-wt=27): 133 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(A,C))| -c_in(c_Pair(C,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(A,D,E),E,E),D,tc_prod(E,E))| -c_in(B,c_Wellfounded_Oacc(D,E),E).
% 243.39/243.44 ** KEPT (pick-wt=24): 134 [] -c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Ortrancl(D,C),tc_prod(C,C))| -c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(B,A,C,C),D,tc_prod(C,C)),C).
% 243.39/243.44 ** KEPT (pick-wt=27): 135 [] c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(A,B,C,C),D,tc_prod(C,C)),C)|c_in(c_Pair(B,A,C,C),c_Transitive__Closure_Ortrancl(D,C),tc_prod(C,C))| -c_Wellfounded_Owf(D,C).
% 243.39/243.44 ** KEPT (pick-wt=21): 136 [] c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XRangeE__1__1(A,B,C,D),A,D,C),B,tc_prod(D,C))| -c_in(A,c_Relation_ORange(B,D,C),C).
% 243.39/243.44 ** KEPT (pick-wt=21): 137 [] c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XRange__iff__1__1(A,B,C,D),A,D,C),B,tc_prod(D,C))| -c_in(A,c_Relation_ORange(B,D,C),C).
% 243.39/243.44 ** KEPT (pick-wt=28): 138 [] c_in(c_Pair(A,c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1(B,A,C,D),D,D),c_Transitive__Closure_Ortrancl(B,D),tc_prod(D,D))| -c_in(c_Pair(A,C,D,D),c_Transitive__Closure_Otrancl(B,D),tc_prod(D,D)).
% 243.39/243.44 ** KEPT (pick-wt=28): 139 [] c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1(A,B,C,D),C,D,D),c_Transitive__Closure_Ortrancl(A,D),tc_prod(D,D))| -c_in(c_Pair(B,C,D,D),c_Transitive__Closure_Otrancl(A,D),tc_prod(D,D)).
% 243.39/243.44 ** KEPT (pick-wt=31): 140 [] c_lesse_quals(c_Product__Type_OSigma(A,B,C,D),c_Product__Type_OSigma(E,F,C,D),tc_fun(tc_prod(C,D),tc_bool))|c_in(c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1(A,B,F,C,D),A,C)| -c_lesse_quals(A,E,tc_fun(C,tc_bool)).
% 243.39/243.44 ** KEPT (pick-wt=25): 141 [] c_lesse_quals(c_Set_Oimage(A,B,C,D),E,tc_fun(D,tc_bool))| -c_in(A,c_FuncSet_OPi(B,c_COMBK(E,tc_fun(D,tc_bool),C),C,D),tc_fun(C,D)).
% 243.39/243.44 ** KEPT (pick-wt=32): 142 [] c_in(c_FuncSet_Orestrict(A,B,C,D),c_FuncSet_OPi(B,E,C,D),tc_fun(C,D))| -c_in(hAPP(A,c_FuncSet_Osko__FuncSet__XrestrictI__1__1(B,E,A,C,D)),hAPP(E,c_FuncSet_Osko__FuncSet__XrestrictI__1__1(B,E,A,C,D)),D).
% 243.39/243.44 ** KEPT (pick-wt=47): 143 [] -c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(D,A,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|D=B| -c_in(C,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|D=A|c_in(c_Pair(D,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(C,D,A),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 243.39/243.44 ** KEPT (pick-wt=37): 145 [copy,144,factor_simp] -c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|A=B| -c_in(C,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|D=B|c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(C,D,B),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 243.39/243.44 ** KEPT (pick-wt=50): 146 [] c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(C,D,E),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|A=D| -c_in(c_Pair(A,E,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|A=B| -c_in(C,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|D=E.
% 243.39/243.44 ** KEPT (pick-wt=50): 147 [] c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(C,D,E),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(E,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|B=D|A=B| -c_in(C,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|D=E.
% 243.39/243.44 ** KEPT (pick-wt=27): 149 [copy,148,factor_simp] A=B|B=A| -c_in(C,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|c_in(c_Pair(B,A,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(C,B,A),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 243.39/243.44 ** KEPT (pick-wt=24): 150 [] -c_in(c_Pair(A,A,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(B,C,D),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(B,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|C=D.
% 243.39/243.44 ** KEPT (pick-wt=40): 151 [] -c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|B=D|D=B| -c_in(C,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|D=A|c_in(c_Pair(D,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(C,D,A),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 243.39/243.44 Following clause subsumed by 145 during input processing: 0 [] A=B|C=A| -c_in(D,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|B=A|c_in(c_Pair(C,A,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(D,B,A),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(C,A,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 243.39/243.44 ** KEPT (pick-wt=40): 152 [] c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|A=D|B=D| -c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(C,D,E),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(C,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|D=E.
% 243.39/243.44 ** KEPT (pick-wt=40): 153 [] A=B| -c_in(c_Pair(B,A,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(C,B,D),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(C,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|B=D|c_in(c_Pair(D,A,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|A=D.
% 243.39/243.44 ** KEPT (pick-wt=34): 154 [] -c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(C,B,D),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(C,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|B=D|c_in(c_Pair(A,D,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 243.39/243.44 ** KEPT (pick-wt=57): 155 [] c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(C,D,E),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(E,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(A,E,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|A=B| -c_in(C,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|D=E.
% 243.39/243.44 ** KEPT (pick-wt=34): 157 [copy,156,factor_simp] -c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|A=B| -c_in(C,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(C,A,B),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 243.39/243.44 ** KEPT (pick-wt=37): 158 [] -c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|A=D| -c_in(C,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|D=B|c_in(c_Pair(A,D,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(C,D,B),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 243.39/243.44 ** KEPT (pick-wt=43): 159 [] c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(C,D,E),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|A=D|B=D|A=B| -c_in(C,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|D=E.
% 243.39/243.44 ** KEPT (pick-wt=41): 160 [] c_lesse_quals(c_Transitive__Closure_Ortrancl(A,B),C,tc_fun(tc_prod(B,B),tc_bool))| -c_lesse_quals(c_Relation_Orel__comp(c_Lattices_Olower__semilattice__class_Oinf(c_Transitive__Closure_Ortrancl(A,B),C,tc_fun(tc_prod(B,B),tc_bool)),A,B,B,B),C,tc_fun(tc_prod(B,B),tc_bool))| -c_lesse_quals(c_Relation_OId(B),C,tc_fun(tc_prod(B,B),tc_bool)).
% 243.39/243.44 ** KEPT (pick-wt=28): 161 [] c_Wellfounded_Owf(A,B)|c_in(c_ATP__Linkup_Osko__Wellfounded__XwfI__1__1(C,D,A,B),D,B)| -c_lesse_quals(A,c_Product__Type_OSigma(C,c_COMBK(D,tc_fun(B,tc_bool),B),B,B),tc_fun(tc_prod(B,B),tc_bool)).
% 243.39/243.44 ** KEPT (pick-wt=28): 162 [] c_Wellfounded_Owf(A,B)|c_in(c_ATP__Linkup_Osko__Wellfounded__XwfI__1__1(C,D,A,B),C,B)| -c_lesse_quals(A,c_Product__Type_OSigma(C,c_COMBK(D,tc_fun(B,tc_bool),B),B,B),tc_fun(tc_prod(B,B),tc_bool)).
% 243.39/243.44 ** KEPT (pick-wt=28): 163 [] c_Relation_Orefl__on(A,B,C)|c_in(c_ATP__Linkup_Osko__Relation__Xrefl__on__def__1__1(A,B,C),A,C)| -c_lesse_quals(B,c_Product__Type_OSigma(A,c_COMBK(A,tc_fun(C,tc_bool),C),C,C),tc_fun(tc_prod(C,C),tc_bool)).
% 243.39/243.44 ** KEPT (pick-wt=28): 164 [] c_Relation_Orefl__on(A,B,C)|c_in(c_ATP__Linkup_Osko__Relation__Xrefl__onI__1__1(A,B,C),A,C)| -c_lesse_quals(B,c_Product__Type_OSigma(A,c_COMBK(A,tc_fun(C,tc_bool),C),C,C),tc_fun(tc_prod(C,C),tc_bool)).
% 243.39/243.44 ** KEPT (pick-wt=32): 165 [] c_Finite__Set_Ofinite(A,B)| -c_in(A,c_Equiv__Relations_Oquotient(C,D,B),tc_fun(B,tc_bool))| -c_lesse_quals(D,c_Product__Type_OSigma(C,c_COMBK(C,tc_fun(B,tc_bool),B),B,B),tc_fun(tc_prod(B,B),tc_bool))| -c_Finite__Set_Ofinite(C,B).
% 243.39/243.44 ** KEPT (pick-wt=37): 166 [] c_Relation_Orefl__on(A,B,C)| -c_in(c_Pair(c_ATP__Linkup_Osko__Relation__Xrefl__onI__1__1(A,B,C),c_ATP__Linkup_Osko__Relation__Xrefl__onI__1__1(A,B,C),C,C),B,tc_prod(C,C))| -c_lesse_quals(B,c_Product__Type_OSigma(A,c_COMBK(A,tc_fun(C,tc_bool),C),C,C),tc_fun(tc_prod(C,C),tc_bool)).
% 243.39/243.44 ** KEPT (pick-wt=37): 167 [] c_Relation_Orefl__on(A,B,C)| -c_in(c_Pair(c_ATP__Linkup_Osko__Relation__Xrefl__on__def__1__1(A,B,C),c_ATP__Linkup_Osko__Relation__Xrefl__on__def__1__1(A,B,C),C,C),B,tc_prod(C,C))| -c_lesse_quals(B,c_Product__Type_OSigma(A,c_COMBK(A,tc_fun(C,tc_bool),C),C,C),tc_fun(tc_prod(C,C),tc_bool)).
% 243.39/243.44 ** KEPT (pick-wt=40): 168 [] A=B| -c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(C,D,B),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(C,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|D=B|c_in(c_Pair(A,D,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|A=D.
% 243.39/243.44 ** KEPT (pick-wt=34): 169 [] -c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(C,D,A),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(C,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|D=A|c_in(c_Pair(D,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 243.39/243.44 ** KEPT (pick-wt=57): 170 [] c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(C,D,E),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(A,D,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(D,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|A=B| -c_in(C,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|D=E.
% 243.39/243.44 ** KEPT (pick-wt=34): 172 [copy,171,factor_simp] -c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|A=B| -c_in(C,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(C,A,B),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 243.39/243.44 ** KEPT (pick-wt=37): 173 [] -c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|D=B| -c_in(C,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|A=D|c_in(c_Pair(D,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(C,A,D),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 243.39/243.44 ** KEPT (pick-wt=43): 174 [] c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(C,D,E),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|B=E|A=E|A=B| -c_in(C,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|D=E.
% 243.39/243.44 ** KEPT (pick-wt=47): 175 [] -c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(B,D,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|A=D| -c_in(C,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|B=D|c_in(c_Pair(A,D,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(C,B,D),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 243.39/243.44 ** KEPT (pick-wt=37): 177 [copy,176,factor_simp] -c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|A=B| -c_in(C,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|A=D|c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(C,A,D),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 243.39/243.44 ** KEPT (pick-wt=50): 178 [] c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(C,D,E),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|B=E| -c_in(c_Pair(D,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|A=B| -c_in(C,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|D=E.
% 243.39/243.44 ** KEPT (pick-wt=50): 179 [] c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(C,D,E),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(A,D,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|A=E|A=B| -c_in(C,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|D=E.
% 243.39/243.44 ** KEPT (pick-wt=24): 181 [copy,180,factor_simp,factor_simp] A=B| -c_in(C,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(C,A,B),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 243.39/243.44 ** KEPT (pick-wt=20): 182 [] c_lesse_quals(A,c_Relation_Orel__comp(c_Relation_Oconverse(A,B,B),A,B,B,B),tc_fun(tc_prod(B,B),tc_bool))| -c_Relation_Orefl__on(C,A,B).
% 243.39/243.44 ** KEPT (pick-wt=21): 183 [] c_lesse_quals(A,c_Product__Type_OSigma(B,c_COMBK(B,tc_fun(C,tc_bool),C),C,C),tc_fun(tc_prod(C,C),tc_bool))| -c_Relation_Orefl__on(B,A,C).
% 243.39/243.44 ** KEPT (pick-wt=56): 184 [] c_lesse_quals(c_Relation_Orel__comp(A,B,C,D,E),c_Product__Type_OSigma(F,c_COMBK(G,tc_fun(E,tc_bool),C),C,E),tc_fun(tc_prod(C,E),tc_bool))| -c_lesse_quals(B,c_Product__Type_OSigma(H,c_COMBK(G,tc_fun(E,tc_bool),D),D,E),tc_fun(tc_prod(D,E),tc_bool))| -c_lesse_quals(A,c_Product__Type_OSigma(F,c_COMBK(H,tc_fun(D,tc_bool),C),C,D),tc_fun(tc_prod(C,D),tc_bool)).
% 243.39/243.44 ** KEPT (pick-wt=21): 185 [] c_lesse_quals(A,c_Product__Type_OSigma(B,c_COMBK(B,tc_fun(C,tc_bool),C),C,C),tc_fun(tc_prod(C,C),tc_bool))| -c_Equiv__Relations_Oe_quiv(B,A,C).
% 243.39/243.44 ** KEPT (pick-wt=36): 186 [] c_lesse_quals(c_Transitive__Closure_Otrancl(A,B),c_Product__Type_OSigma(C,c_COMBK(C,tc_fun(B,tc_bool),B),B,B),tc_fun(tc_prod(B,B),tc_bool))| -c_lesse_quals(A,c_Product__Type_OSigma(C,c_COMBK(C,tc_fun(B,tc_bool),B),B,B),tc_fun(tc_prod(B,B),tc_bool)).
% 243.39/243.44 ** KEPT (pick-wt=22): 187 [] c_in(c_Arrow__Order__Mirabelle_Oabove(A,B,C),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))| -c_in(A,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|B=C.
% 243.39/243.44 ** KEPT (pick-wt=16): 188 [] c_lesse_quals(c_Relation_Orel__comp(A,A,B,B,B),A,tc_fun(tc_prod(B,B),tc_bool))| -c_Relation_Otrans(A,B).
% 243.39/243.44 ** KEPT (pick-wt=24): 189 [] c_in(A,c_Transitive__Closure_Otrancl(B,C),tc_prod(C,C))| -c_lesse_quals(D,B,tc_fun(tc_prod(C,C),tc_bool))| -c_in(A,c_Transitive__Closure_Otrancl(D,C),tc_prod(C,C)).
% 243.39/243.44 ** KEPT (pick-wt=27): 190 [] c_lesse_quals(c_Relation_OImage(A,B,C,D),E,tc_fun(D,tc_bool))| -c_lesse_quals(A,c_Product__Type_OSigma(F,c_COMBK(E,tc_fun(D,tc_bool),C),C,D),tc_fun(tc_prod(C,D),tc_bool)).
% 243.39/243.44 ** KEPT (pick-wt=36): 191 [] c_lesse_quals(c_Product__Type_OSigma(A,c_COMBK(B,tc_fun(C,tc_bool),D),D,C),c_Product__Type_OSigma(E,c_COMBK(B,tc_fun(C,tc_bool),D),D,C),tc_fun(tc_prod(D,C),tc_bool))| -c_lesse_quals(A,E,tc_fun(D,tc_bool))| -c_in(F,B,C).
% 243.39/243.44 ** KEPT (pick-wt=36): 192 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(c_Product__Type_OSigma(A,c_COMBK(D,tc_fun(E,tc_bool),C),C,E),c_Product__Type_OSigma(B,c_COMBK(D,tc_fun(E,tc_bool),C),C,E),tc_fun(tc_prod(C,E),tc_bool))| -c_in(F,D,E).
% 243.39/243.44 ** KEPT (pick-wt=10): 193 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_lesse_quals(C,B,A).
% 243.39/243.44 ** KEPT (pick-wt=28): 194 [] c_lesse_quals(c_Relation_OImage(A,B,C,D),c_Relation_OImage(E,F,C,D),tc_fun(D,tc_bool))| -c_lesse_quals(B,F,tc_fun(C,tc_bool))| -c_lesse_quals(A,E,tc_fun(tc_prod(C,D),tc_bool)).
% 243.39/243.44 ** KEPT (pick-wt=20): 195 [] c_lesse_quals(c_Relation_ODomain(A,B,C),c_Relation_ODomain(D,B,C),tc_fun(B,tc_bool))| -c_lesse_quals(A,D,tc_fun(tc_prod(B,C),tc_bool)).
% 243.39/243.44 ** KEPT (pick-wt=14): 196 [] hBOOL(hAPP(A,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool))| -hBOOL(hAPP(C,B)).
% 243.39/243.44 ** KEPT (pick-wt=14): 197 [] c_Relation_Oantisym(A,B)| -c_Relation_Oantisym(C,B)| -c_lesse_quals(A,C,tc_fun(tc_prod(B,B),tc_bool)).
% 243.39/243.44 ** KEPT (pick-wt=6): 198 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,B,A).
% 243.39/243.44 ** KEPT (pick-wt=6): 199 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,B,A).
% 243.39/243.44 ** KEPT (pick-wt=14): 200 [] c_Wellfounded_Owf(A,B)| -c_lesse_quals(A,C,tc_fun(tc_prod(B,B),tc_bool))| -c_Wellfounded_Owf(C,B).
% 243.39/243.44 Following clause subsumed by 196 during input processing: 0 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(C,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool)).
% 243.39/243.44 ** KEPT (pick-wt=18): 201 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(D,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)).
% 243.39/243.44 ** KEPT (pick-wt=14): 202 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(D,C,A)| -c_lesse_quals(B,D,A).
% 243.39/243.44 ** KEPT (pick-wt=14): 203 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(D,C,A).
% 243.39/243.44 ** KEPT (pick-wt=22): 204 [] c_lesse_quals(c_Transitive__Closure_Ortrancl(A,B),c_Transitive__Closure_Ortrancl(C,B),tc_fun(tc_prod(B,B),tc_bool))| -c_lesse_quals(A,c_Transitive__Closure_Ortrancl(C,B),tc_fun(tc_prod(B,B),tc_bool)).
% 243.39/243.44 ** KEPT (pick-wt=13): 205 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(B,C,A)| -c_lesse_quals(C,B,A).
% 243.39/243.44 Following clause subsumed by 205 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 243.39/243.44 Following clause subsumed by 205 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 243.39/243.44 ** KEPT (pick-wt=15): 206 [] A=B| -c_lesse_quals(B,A,tc_fun(C,tc_bool))| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 243.39/243.44 Following clause subsumed by 206 during input processing: 0 [] A=B| -c_lesse_quals(B,A,tc_fun(C,tc_bool))| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 243.39/243.44 ** KEPT (pick-wt=20): 207 [] c_lesse_quals(c_Transitive__Closure_Ortrancl(A,B),c_Transitive__Closure_Ortrancl(C,B),tc_fun(tc_prod(B,B),tc_bool))| -c_lesse_quals(A,C,tc_fun(tc_prod(B,B),tc_bool)).
% 243.39/243.44 ** KEPT (pick-wt=34): 208 [] c_lesse_quals(c_Relation_Orel__comp(A,B,C,D,E),c_Relation_Orel__comp(F,G,C,D,E),tc_fun(tc_prod(C,E),tc_bool))| -c_lesse_quals(B,G,tc_fun(tc_prod(D,E),tc_bool))| -c_lesse_quals(A,F,tc_fun(tc_prod(C,D),tc_bool)).
% 243.39/243.44 ** KEPT (pick-wt=25): 209 [] c_Transitive__Closure_Ortrancl(A,B)=c_Transitive__Closure_Ortrancl(C,B)| -c_lesse_quals(A,c_Transitive__Closure_Ortrancl(C,B),tc_fun(tc_prod(B,B),tc_bool))| -c_lesse_quals(C,A,tc_fun(tc_prod(B,B),tc_bool)).
% 243.39/243.44 ** KEPT (pick-wt=16): 210 [] c_Fun_Obij__betw(c_Hilbert__Choice_Oinv__into(A,B,C,D),E,A,D,C)| -c_Fun_Obij__betw(B,A,E,C,D).
% 243.39/243.44 ** KEPT (pick-wt=18): 211 [] c_lesse_quals(c_Wellfounded_Oacc(A,B),c_Wellfounded_Oacc(C,B),tc_fun(B,tc_bool))| -c_lesse_quals(C,A,tc_fun(tc_prod(B,B),tc_bool)).
% 243.39/243.44 ** KEPT (pick-wt=16): 212 [] -class_HOL_Oord(A)|c_lesse_quals(hAPP(B,C),hAPP(D,C),A)| -c_lesse_quals(B,D,tc_fun(E,A)).
% 243.39/243.44 ** KEPT (pick-wt=14): 213 [] c_in(A,B,C)| -c_in(A,D,C)| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 243.39/243.44 Following clause subsumed by 213 during input processing: 0 [] c_in(A,B,C)| -c_lesse_quals(D,B,tc_fun(C,tc_bool))| -c_in(A,D,C).
% 243.39/243.44 Following clause subsumed by 213 during input processing: 0 [] c_in(A,B,C)| -c_in(A,D,C)| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 243.39/243.44 Following clause subsumed by 213 during input processing: 0 [] c_in(A,B,C)| -c_in(A,D,C)| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 243.39/243.44 ** KEPT (pick-wt=40): 214 [] c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|B=D|A=D| -c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(C,E,D),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(C,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|E=D.
% 243.39/243.45 Following clause subsumed by 177 during input processing: 0 [factor_simp] A=B|A=C| -c_in(D,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|c_in(c_Pair(A,C,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(D,A,B),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(A,C,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 243.39/243.45 ** KEPT (pick-wt=37): 216 [copy,215,factor_simp] -c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|A=D| -c_in(C,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|B=D|c_in(c_Pair(A,D,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(C,B,D),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 243.39/243.45 ** KEPT (pick-wt=24): 217 [] -c_in(c_Pair(A,A,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(B,C,D),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(B,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|C=D.
% 243.39/243.45 ** KEPT (pick-wt=22): 218 [] c_lesse_quals(c_Relation_Orel__comp(c_Relation_Oconverse(A,B,B),A,B,B,B),A,tc_fun(tc_prod(B,B),tc_bool))| -c_Relation_Otrans(A,B)| -c_Relation_Osym(A,B).
% 243.39/243.45 ** KEPT (pick-wt=28): 219 [] c_FuncSet_Ocompose(A,c_FuncSet_Orestrict(c_Hilbert__Choice_Oinv__into(A,B,C,D),E,D,C),B,C,D,C)=c_FuncSet_Orestrict(c_COMBI(C),A,C,C)| -c_Fun_Obij__betw(B,A,E,C,D).
% 243.39/243.45 ** KEPT (pick-wt=31): 221 [copy,220,factor_simp] -c_in(A,B,C)| -c_in(D,B,C)| -c_in(B,c_Equiv__Relations_Oquotient(E,F,C),tc_fun(C,tc_bool))| -c_Equiv__Relations_Oe_quiv(E,F,C)|c_in(c_Pair(D,A,C,C),F,tc_prod(C,C)).
% 243.39/243.45 ** KEPT (pick-wt=43): 222 [] A=B| -c_in(c_Pair(C,D,E,E),F,tc_prod(E,E))| -c_in(D,B,E)| -c_in(C,A,E)| -c_in(B,c_Equiv__Relations_Oquotient(G,F,E),tc_fun(E,tc_bool))| -c_in(A,c_Equiv__Relations_Oquotient(G,F,E),tc_fun(E,tc_bool))| -c_Equiv__Relations_Oe_quiv(G,F,E).
% 243.39/243.45 ** KEPT (pick-wt=36): 223 [] c_in(A,B,C)|A=D| -c_lesse_quals(E,c_Product__Type_OSigma(B,c_COMBK(B,tc_fun(C,tc_bool),C),C,C),tc_fun(tc_prod(C,C),tc_bool))| -c_in(c_Pair(A,D,C,C),c_Transitive__Closure_Ortrancl(E,C),tc_prod(C,C)).
% 243.39/243.45 ** KEPT (pick-wt=38): 224 [] c_FuncSet_Ocompose(A,c_FuncSet_Orestrict(c_COMBI(B),C,B,B),D,E,B,B)=D| -c_in(D,c_FuncSet_Oextensional(A,E,B),tc_fun(E,B))| -c_in(D,c_FuncSet_OPi(A,c_COMBK(C,tc_fun(B,tc_bool),E),E,B),tc_fun(E,B)).
% 243.39/243.45 ** KEPT (pick-wt=38): 225 [] c_FuncSet_Ocompose(A,B,c_FuncSet_Orestrict(c_COMBI(C),A,C,C),C,C,D)=B| -c_in(B,c_FuncSet_Oextensional(A,C,D),tc_fun(C,D))| -c_in(B,c_FuncSet_OPi(A,c_COMBK(E,tc_fun(D,tc_bool),C),C,D),tc_fun(C,D)).
% 243.39/243.45 ** KEPT (pick-wt=14): 227 [copy,226,flip.1] hAPP(v_sko__Arrow__Order__Mirabelle__Xdictator__def__1(A,B),B)!=hAPP(A,v_sko__Arrow__Order__Mirabelle__Xdictator__def__1(A,B))|c_Arrow__Order__Mirabelle_Odictator(A,B).
% 243.39/243.45 ** KEPT (pick-wt=22): 228 [] A=B| -c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Ortrancl(D,C),tc_prod(C,C))|c_in(A,c_Relation_ODomain(D,C,C),C).
% 243.39/243.45 ** KEPT (pick-wt=24): 229 [] c_in(A,c_Wellfounded_Oacc(B,C),C)| -c_in(c_Pair(A,D,C,C),c_Transitive__Closure_Ortrancl(B,C),tc_prod(C,C))| -c_in(D,c_Wellfounded_Oacc(B,C),C).
% 243.39/243.45 Following clause subsumed by 229 during input processing: 0 [] c_in(A,c_Wellfounded_Oacc(B,C),C)| -c_in(D,c_Wellfounded_Oacc(B,C),C)| -c_in(c_Pair(A,D,C,C),c_Transitive__Closure_Ortrancl(B,C),tc_prod(C,C)).
% 243.39/243.45 ** KEPT (pick-wt=14): 230 [] c_in(A,c_Transitive__Closure_Ortrancl(B,C),tc_prod(C,C))| -c_in(A,B,tc_prod(C,C)).
% 243.39/243.45 ** KEPT (pick-wt=14): 231 [] c_in(A,c_Transitive__Closure_Otrancl(B,C),tc_prod(C,C))| -c_in(A,B,tc_prod(C,C)).
% 243.39/243.45 ** KEPT (pick-wt=34): 232 [] c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Otrancl(D,C),tc_prod(C,C))| -c_in(c_Pair(E,B,C,C),c_Transitive__Closure_Ortrancl(D,C),tc_prod(C,C))| -c_in(c_Pair(A,E,C,C),D,tc_prod(C,C)).
% 243.39/243.45 ** KEPT (pick-wt=34): 233 [] c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Otrancl(D,C),tc_prod(C,C))| -c_in(c_Pair(E,B,C,C),D,tc_prod(C,C))| -c_in(c_Pair(A,E,C,C),c_Transitive__Closure_Ortrancl(D,C),tc_prod(C,C)).
% 243.39/243.45 ** KEPT (pick-wt=27): 234 [] c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Ortrancl(D,C),tc_prod(C,C))| -c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Otrancl(D,C),tc_prod(C,C))|A=B.
% 243.39/243.45 ** KEPT (pick-wt=27): 235 [] c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Otrancl(D,C),tc_prod(C,C))|A=B| -c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Ortrancl(D,C),tc_prod(C,C)).
% 243.39/243.45 Following clause subsumed by 235 during input processing: 0 [] c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Otrancl(D,C),tc_prod(C,C))|A=B| -c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Ortrancl(D,C),tc_prod(C,C)).
% 243.39/243.45 ** KEPT (pick-wt=27): 236 [] c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(D,C,C),C),tc_prod(C,C))| -c_in(c_Pair(B,A,C,C),c_Transitive__Closure_Ortrancl(D,C),tc_prod(C,C)).
% 243.39/243.45 ** KEPT (pick-wt=27): 237 [] c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Ortrancl(D,C),tc_prod(C,C))| -c_in(c_Pair(B,A,C,C),c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(D,C,C),C),tc_prod(C,C)).
% 243.39/243.45 ** KEPT (pick-wt=24): 238 [] c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Ortrancl(D,C),tc_prod(C,C))| -c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Otrancl(D,C),tc_prod(C,C)).
% 243.39/243.45 ** KEPT (pick-wt=36): 239 [] c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Otrancl(D,C),tc_prod(C,C))| -c_in(c_Pair(E,B,C,C),c_Transitive__Closure_Ortrancl(D,C),tc_prod(C,C))| -c_in(c_Pair(A,E,C,C),c_Transitive__Closure_Otrancl(D,C),tc_prod(C,C)).
% 243.39/243.45 ** KEPT (pick-wt=36): 240 [] c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Otrancl(D,C),tc_prod(C,C))| -c_in(c_Pair(E,B,C,C),c_Transitive__Closure_Otrancl(D,C),tc_prod(C,C))| -c_in(c_Pair(A,E,C,C),c_Transitive__Closure_Ortrancl(D,C),tc_prod(C,C)).
% 243.39/243.45 ** KEPT (pick-wt=30): 241 [] c_in(c_Pair(A,B,C,C),c_Relation_Oconverse(c_Transitive__Closure_Otrancl(D,C),C,C),tc_prod(C,C))| -c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Otrancl(c_Relation_Oconverse(D,C,C),C),tc_prod(C,C)).
% 243.39/243.45 ** KEPT (pick-wt=30): 242 [] c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Otrancl(c_Relation_Oconverse(D,C,C),C),tc_prod(C,C))| -c_in(c_Pair(A,B,C,C),c_Relation_Oconverse(c_Transitive__Closure_Otrancl(D,C),C,C),tc_prod(C,C)).
% 243.39/243.45 ** KEPT (pick-wt=19): 243 [] hAPP(c_FuncSet_Ocompose(A,B,C,D,E,F),G)=hAPP(B,hAPP(C,G))| -c_in(G,A,D).
% 243.39/243.45 ** KEPT (pick-wt=15): 244 [] hAPP(c_FuncSet_Orestrict(A,B,C,D),E)=hAPP(A,E)| -c_in(E,B,C).
% 243.39/243.45 ** KEPT (pick-wt=9): 245 [] c_in(A,c_Wellfounded_Oacc(B,C),C)| -c_Wellfounded_Owf(B,C).
% 243.39/243.45 ** KEPT (pick-wt=8): 246 [] c_Relation_Osym(c_Transitive__Closure_Otrancl(A,B),B)| -c_Relation_Osym(A,B).
% 243.39/243.45 ** KEPT (pick-wt=8): 247 [] c_Transitive__Closure_Otrancl(A,B)=A| -c_Relation_Otrans(A,B).
% 243.39/243.45 ** KEPT (pick-wt=9): 248 [] c_Relation_Osym(A,B)| -c_Relation_Osym(c_Relation_Oconverse(A,B,B),B).
% 243.39/243.45 ** KEPT (pick-wt=9): 249 [] c_Relation_Osym(c_Relation_Oconverse(A,B,B),B)| -c_Relation_Osym(A,B).
% 243.39/243.45 ** KEPT (pick-wt=14): 250 [] c_Wellfounded_Owf(c_Relation_Oconverse(c_Transitive__Closure_Otrancl(A,B),B,B),B)| -c_Wellfounded_Owf(c_Relation_Oconverse(A,B,B),B).
% 243.39/243.45 ** KEPT (pick-wt=11): 251 [] c_Relation_Orefl__on(A,B,C)| -c_Relation_Orefl__on(A,c_Relation_Oconverse(B,C,C),C).
% 243.39/243.45 ** KEPT (pick-wt=11): 252 [] c_Relation_Orefl__on(A,c_Relation_Oconverse(B,C,C),C)| -c_Relation_Orefl__on(A,B,C).
% 243.39/243.45 ** KEPT (pick-wt=8): 253 [] c_Relation_Osym(c_Transitive__Closure_Ortrancl(A,B),B)| -c_Relation_Osym(A,B).
% 243.39/243.45 ** KEPT (pick-wt=11): 254 [] c_Wellfounded_Owf(c_Relation_Orel__comp(A,A,B,B,B),B)| -c_Wellfounded_Owf(A,B).
% 243.39/243.45 ** KEPT (pick-wt=11): 255 [] c_Wellfounded_Owf(A,B)| -c_Wellfounded_Owf(c_Relation_Orel__comp(A,A,B,B,B),B).
% 243.39/243.45 ** KEPT (pick-wt=9): 256 [] c_Relation_Oconverse(A,B,B)=A| -c_Relation_Osym(A,B).
% 243.39/243.45 ** KEPT (pick-wt=9): 257 [] c_Relation_Oconverse(A,B,B)!=A|c_Relation_Osym(A,B).
% 243.39/243.45 ** KEPT (pick-wt=16): 258 [] c_Fun_Obij__betw(A,B,C,D,E)| -c_Fun_Obij__betw(c_FuncSet_Orestrict(A,B,D,E),B,C,D,E).
% 243.39/243.45 ** KEPT (pick-wt=16): 259 [] c_Fun_Obij__betw(c_FuncSet_Orestrict(A,B,C,D),B,E,C,D)| -c_Fun_Obij__betw(A,B,E,C,D).
% 243.39/243.45 ** KEPT (pick-wt=10): 260 [] c_Wellfounded_Owf(c_Relation_Oinv__image(A,B,C,D),D)| -c_Wellfounded_Owf(A,C).
% 243.39/243.45 ** KEPT (pick-wt=10): 261 [] c_Relation_Osym(c_Relation_Oinv__image(A,B,C,D),D)| -c_Relation_Osym(A,C).
% 243.39/243.45 ** KEPT (pick-wt=9): 262 [] c_Relation_Otrans(A,B)| -c_Relation_Otrans(c_Relation_Oconverse(A,B,B),B).
% 243.39/243.45 ** KEPT (pick-wt=9): 263 [] c_Relation_Otrans(c_Relation_Oconverse(A,B,B),B)| -c_Relation_Otrans(A,B).
% 243.39/243.45 ** KEPT (pick-wt=8): 264 [] c_Wellfounded_Owf(c_Transitive__Closure_Otrancl(A,B),B)| -c_Wellfounded_Owf(A,B).
% 243.39/243.45 ** KEPT (pick-wt=10): 265 [] c_Relation_Otrans(c_Relation_Oinv__image(A,B,C,D),D)| -c_Relation_Otrans(A,C).
% 243.39/243.45 ** KEPT (pick-wt=18): 266 [] c_Relation_Orel__comp(c_Relation_Oconverse(A,B,B),A,B,B,B)!=A|c_Equiv__Relations_Oe_quiv(c_Relation_ODomain(A,B,B),A,B).
% 243.39/243.45 ** KEPT (pick-wt=15): 267 [] c_Relation_Orel__comp(c_Relation_Oconverse(A,B,B),A,B,B,B)=A| -c_Equiv__Relations_Oe_quiv(C,A,B).
% 243.39/243.45 ** KEPT (pick-wt=9): 268 [] c_Relation_Oantisym(A,B)| -c_Relation_Oantisym(c_Relation_Oconverse(A,B,B),B).
% 243.39/243.45 ** KEPT (pick-wt=9): 269 [] c_Relation_Oantisym(c_Relation_Oconverse(A,B,B),B)| -c_Relation_Oantisym(A,B).
% 243.39/243.45 ** KEPT (pick-wt=24): 270 [] c_Fun_Obij__betw(c_FuncSet_Ocompose(A,B,C,D,E,F),A,G,D,F)| -c_Fun_Obij__betw(B,H,G,E,F)| -c_Fun_Obij__betw(C,A,H,D,E).
% 243.39/243.45 ** KEPT (pick-wt=8): 271 [] c_Relation_Orefl__on(A,B,C)| -c_Equiv__Relations_Oe_quiv(A,B,C).
% 243.39/243.45 ** KEPT (pick-wt=7): 272 [] c_Relation_Osym(A,B)| -c_Equiv__Relations_Oe_quiv(C,A,B).
% 243.39/243.45 ** KEPT (pick-wt=18): 273 [] c_in(c_Arrow__Order__Mirabelle_Omkbot(A,B),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))| -c_in(A,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)).
% 243.39/243.45 ** KEPT (pick-wt=18): 274 [] c_in(c_Arrow__Order__Mirabelle_Omktop(A,B),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))| -c_in(A,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)).
% 243.39/243.45 ** KEPT (pick-wt=11): 275 [] c_Relation_Ototal__on(A,B,C)| -c_Relation_Ototal__on(A,c_Relation_Oconverse(B,C,C),C).
% 243.39/243.45 ** KEPT (pick-wt=11): 276 [] c_Relation_Ototal__on(A,c_Relation_Oconverse(B,C,C),C)| -c_Relation_Ototal__on(A,B,C).
% 243.39/243.45 ** KEPT (pick-wt=7): 277 [] c_Relation_Otrans(A,B)| -c_Equiv__Relations_Oe_quiv(C,A,B).
% 243.39/243.45 ** KEPT (pick-wt=22): 278 [] hAPP(c_Recdef_Ocut(A,B,C,D,E),F)=hAPP(A,F)| -c_in(c_Pair(F,C,D,D),B,tc_prod(D,D)).
% 243.39/243.45 Following clause subsumed by 278 during input processing: 0 [] hAPP(c_Recdef_Ocut(A,B,C,D,E),F)=hAPP(A,F)| -c_in(c_Pair(F,C,D,D),B,tc_prod(D,D)).
% 243.39/243.45 ** KEPT (pick-wt=16): 279 [] c_FunDef_Oin__rel(A,B,C,D,E)| -c_in(c_Pair(B,C,D,E),A,tc_prod(D,E)).
% 243.39/243.45 ** KEPT (pick-wt=16): 280 [] c_in(c_Pair(A,B,C,D),E,tc_prod(C,D))| -c_FunDef_Oin__rel(E,A,B,C,D).
% 243.39/243.45 ** KEPT (pick-wt=33): 281 [] c_in(c_Pair(A,B,C,C),D,tc_prod(C,C))| -c_in(c_Pair(E,B,C,C),D,tc_prod(C,C))| -c_in(c_Pair(A,E,C,C),D,tc_prod(C,C))| -c_Relation_Otrans(D,C).
% 243.39/243.45 Following clause subsumed by 281 during input processing: 0 [] c_in(c_Pair(A,B,C,C),D,tc_prod(C,C))| -c_in(c_Pair(E,B,C,C),D,tc_prod(C,C))| -c_in(c_Pair(A,E,C,C),D,tc_prod(C,C))| -c_Relation_Otrans(D,C).
% 243.39/243.45 ** KEPT (pick-wt=23): 282 [] c_in(c_Pair(A,B,C,D),c_Relation_Oconverse(E,D,C),tc_prod(C,D))| -c_in(c_Pair(B,A,D,C),E,tc_prod(D,C)).
% 243.39/243.45 Following clause subsumed by 282 during input processing: 0 [] c_in(c_Pair(A,B,C,D),c_Relation_Oconverse(E,D,C),tc_prod(C,D))| -c_in(c_Pair(B,A,D,C),E,tc_prod(D,C)).
% 243.39/243.45 ** KEPT (pick-wt=23): 283 [] c_in(c_Pair(A,B,C,D),E,tc_prod(C,D))| -c_in(c_Pair(B,A,D,C),c_Relation_Oconverse(E,C,D),tc_prod(D,C)).
% 243.39/243.45 ** KEPT (pick-wt=13): 284 [] -c_in(c_Pair(A,A,B,B),C,tc_prod(B,B))| -c_Relation_Oirrefl(C,B).
% 243.39/243.45 ** KEPT (pick-wt=34): 285 [] c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Otrancl(D,C),tc_prod(C,C))| -c_in(c_Pair(E,B,C,C),D,tc_prod(C,C))| -c_in(c_Pair(A,E,C,C),c_Transitive__Closure_Otrancl(D,C),tc_prod(C,C)).
% 243.39/243.45 ** KEPT (pick-wt=34): 286 [] c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Otrancl(D,C),tc_prod(C,C))| -c_in(c_Pair(E,B,C,C),c_Transitive__Closure_Otrancl(D,C),tc_prod(C,C))| -c_in(c_Pair(A,E,C,C),D,tc_prod(C,C)).
% 243.39/243.45 ** KEPT (pick-wt=34): 287 [] c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Ortrancl(D,C),tc_prod(C,C))| -c_in(c_Pair(E,B,C,C),D,tc_prod(C,C))| -c_in(c_Pair(A,E,C,C),c_Transitive__Closure_Ortrancl(D,C),tc_prod(C,C)).
% 243.39/243.45 ** KEPT (pick-wt=34): 288 [] c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Ortrancl(D,C),tc_prod(C,C))| -c_in(c_Pair(E,B,C,C),c_Transitive__Closure_Ortrancl(D,C),tc_prod(C,C))| -c_in(c_Pair(A,E,C,C),D,tc_prod(C,C)).
% 243.39/243.45 Following clause subsumed by 231 during input processing: 0 [] c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Otrancl(D,C),tc_prod(C,C))| -c_in(c_Pair(A,B,C,C),D,tc_prod(C,C)).
% 243.39/243.45 ** KEPT (pick-wt=36): 289 [] c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Ortrancl(D,C),tc_prod(C,C))| -c_in(c_Pair(E,B,C,C),c_Transitive__Closure_Ortrancl(D,C),tc_prod(C,C))| -c_in(c_Pair(A,E,C,C),c_Transitive__Closure_Ortrancl(D,C),tc_prod(C,C)).
% 243.39/243.45 ** KEPT (pick-wt=23): 290 [] -c_in(c_Pair(A,B,C,C),D,tc_prod(C,C))| -c_in(c_Pair(B,A,C,C),D,tc_prod(C,C))| -c_Wellfounded_Owf(D,C).
% 243.39/243.45 ** KEPT (pick-wt=26): 291 [] A=B| -c_in(c_Pair(B,A,C,C),D,tc_prod(C,C))| -c_in(c_Pair(A,B,C,C),D,tc_prod(C,C))| -c_Relation_Oantisym(D,C).
% 243.39/243.45 Following clause subsumed by 291 during input processing: 0 [] A=B| -c_in(c_Pair(B,A,C,C),D,tc_prod(C,C))| -c_in(c_Pair(A,B,C,C),D,tc_prod(C,C))| -c_Relation_Oantisym(D,C).
% 243.39/243.45 ** KEPT (pick-wt=22): 292 [] hAPP(A,B)=hAPP(A,C)| -c_in(c_Pair(B,C,D,D),E,tc_prod(D,D))| -c_Equiv__Relations_Ocongruent(E,A,D,F).
% 243.39/243.45 ** KEPT (pick-wt=15): 293 [] A=B| -c_in(c_Pair(A,B,C,C),c_Relation_OId__on(D,C),tc_prod(C,C)).
% 243.39/243.45 ** KEPT (pick-wt=30): 294 [] c_Recdef_Ocut(A,B,C,D,E)!=c_Recdef_Ocut(F,B,C,D,E)|hAPP(A,G)=hAPP(F,G)| -c_in(c_Pair(G,C,D,D),B,tc_prod(D,D)).
% 243.39/243.45 ** KEPT (pick-wt=14): 295 [] A=B| -c_in(c_Pair(A,B,C,C),c_Relation_OId(C),tc_prod(C,C)).
% 243.39/243.45 ** KEPT (pick-wt=13): 296 [] c_in(c_Pair(A,A,B,B),C,tc_prod(B,B))| -c_Nitpick_Orefl_H(C,B).
% 243.39/243.45 ** KEPT (pick-wt=13): 297 [] -c_in(c_Pair(A,A,B,B),C,tc_prod(B,B))| -c_Wellfounded_Owf(C,B).
% 243.39/243.45 ** KEPT (pick-wt=28): 298 [] c_in(c_Pair(A,B,C,C),c_Relation_Oinv__image(D,E,F,C),tc_prod(C,C))| -c_in(c_Pair(hAPP(E,A),hAPP(E,B),F,F),D,tc_prod(F,F)).
% 243.39/243.45 ** KEPT (pick-wt=28): 299 [] c_in(c_Pair(hAPP(A,B),hAPP(A,C),D,D),E,tc_prod(D,D))| -c_in(c_Pair(B,C,F,F),c_Relation_Oinv__image(E,A,D,F),tc_prod(F,F)).
% 243.39/243.45 ** KEPT (pick-wt=23): 300 [] c_in(c_Pair(A,B,C,C),D,tc_prod(C,C))| -c_in(c_Pair(B,A,C,C),D,tc_prod(C,C))| -c_Relation_Osym(D,C).
% 243.39/243.45 Following clause subsumed by 300 during input processing: 0 [] c_in(c_Pair(A,B,C,C),D,tc_prod(C,C))| -c_in(c_Pair(B,A,C,C),D,tc_prod(C,C))| -c_Relation_Osym(D,C).
% 243.39/243.45 ** KEPT (pick-wt=35): 301 [] c_in(c_Pair(A,B,C,D),c_Relation_Orel__comp(E,F,C,G,D),tc_prod(C,D))| -c_in(c_Pair(H,B,G,D),F,tc_prod(G,D))| -c_in(c_Pair(A,H,C,G),E,tc_prod(C,G)).
% 243.39/243.45 ** KEPT (pick-wt=32): 302 [] c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Otrancl(D,C),tc_prod(C,C))| -c_in(c_Pair(E,B,C,C),D,tc_prod(C,C))| -c_in(c_Pair(A,E,C,C),D,tc_prod(C,C)).
% 243.39/243.45 ** KEPT (pick-wt=36): 303 [] c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Otrancl(D,C),tc_prod(C,C))| -c_in(c_Pair(E,B,C,C),c_Transitive__Closure_Otrancl(D,C),tc_prod(C,C))| -c_in(c_Pair(A,E,C,C),c_Transitive__Closure_Otrancl(D,C),tc_prod(C,C)).
% 243.39/243.45 ** KEPT (pick-wt=28): 304 [] c_Product__Type_OSigma(A,c_COMBK(B,tc_fun(C,tc_bool),D),D,C)!=c_Product__Type_OSigma(E,c_COMBK(B,tc_fun(C,tc_bool),D),D,C)| -c_in(F,B,C)|A=E.
% 243.39/243.45 ** KEPT (pick-wt=30): 305 [] c_in(c_FuncSet_Orestrict(A,B,C,D),c_FuncSet_OPi(B,c_COMBK(E,tc_fun(D,tc_bool),C),C,D),tc_fun(C,D))| -c_in(hAPP(A,c_FuncSet_Osko__FuncSet__Xrestrict__in__funcset__1__1(B,E,A,C,D)),E,D).
% 243.39/243.45 ** KEPT (pick-wt=28): 306 [] c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(C,D),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|A=B|A=D.
% 243.39/243.45 ** KEPT (pick-wt=28): 307 [] c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(C,D),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|B=D|A=D.
% 243.39/243.45 ** KEPT (pick-wt=12): 308 [] -c_in(c_Pair(A,A,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(B,A),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 243.39/243.45 ** KEPT (pick-wt=12): 309 [] -c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(C,A),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 243.39/243.45 ** KEPT (pick-wt=25): 310 [] c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|B=D| -c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(C,D),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 243.39/243.45 ** KEPT (pick-wt=12): 311 [] -c_in(c_Pair(A,A,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(B,A),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 243.39/243.45 ** KEPT (pick-wt=12): 312 [] -c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(C,B),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 243.39/243.45 ** KEPT (pick-wt=28): 313 [] c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(C,D),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|A=B|B=D.
% 243.39/243.45 ** KEPT (pick-wt=28): 314 [] c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(C,D),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|A=D|B=D.
% 243.39/243.45 ** KEPT (pick-wt=25): 315 [] c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|A=D| -c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(C,D),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 243.39/243.45 ** KEPT (pick-wt=78): 316 [] c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(C,D),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(C,E),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(E,v_sko__Arrow__Order__Mirabelle__XIIA__def__1(A,B,D,E)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(D,v_sko__Arrow__Order__Mirabelle__XIIA__def__1(A,B,D,E)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(E,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))| -c_in(D,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))| -c_Arrow__Order__Mirabelle_OIIA(C).
% 243.39/243.45 ** KEPT (pick-wt=78): 317 [] c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(C,D),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(C,E),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(D,v_sko__Arrow__Order__Mirabelle__XIIA__def__1(A,B,E,D)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(E,v_sko__Arrow__Order__Mirabelle__XIIA__def__1(A,B,E,D)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(D,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))| -c_in(E,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))| -c_Arrow__Order__Mirabelle_OIIA(C).
% 243.39/243.45 ** KEPT (pick-wt=78): 318 [] c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(C,D),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(C,E),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(E,v_sko__Arrow__Order__Mirabelle__XIIA__def__1(A,B,D,E)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(D,v_sko__Arrow__Order__Mirabelle__XIIA__def__1(A,B,D,E)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(E,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))| -c_in(D,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))| -c_Arrow__Order__Mirabelle_OIIA(C).
% 243.39/243.45 ** KEPT (pick-wt=78): 319 [] c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(C,D),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(C,E),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(D,v_sko__Arrow__Order__Mirabelle__XIIA__def__1(A,B,E,D)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(E,v_sko__Arrow__Order__Mirabelle__XIIA__def__1(A,B,E,D)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(D,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))| -c_in(E,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))| -c_Arrow__Order__Mirabelle_OIIA(C).
% 243.39/243.45 ** KEPT (pick-wt=39): 320 [] c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(C,D),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(D,v_sko__Arrow__Order__Mirabelle__Xunanimity__def__1(A,B,D)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(D,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))| -c_Arrow__Order__Mirabelle_Ounanimity(C).
% 243.39/243.45 ** KEPT (pick-wt=24): 321 [] c_in(c_Pair(A,B,C,D),c_Product__Type_OSigma(E,F,C,D),tc_prod(C,D))| -c_in(B,hAPP(F,A),D)| -c_in(A,E,C).
% 243.39/243.45 Following clause subsumed by 321 during input processing: 0 [] c_in(c_Pair(A,B,C,D),c_Product__Type_OSigma(E,F,C,D),tc_prod(C,D))| -c_in(B,hAPP(F,A),D)| -c_in(A,E,C).
% 243.39/243.45 ** KEPT (pick-wt=22): 322 [] c_in(A,c_Wellfounded_Oacc(B,C),C)| -c_in(c_Pair(A,D,C,C),B,tc_prod(C,C))| -c_in(D,c_Wellfounded_Oacc(B,C),C).
% 243.39/243.45 Following clause subsumed by 322 during input processing: 0 [] c_in(A,c_Wellfounded_Oacc(B,C),C)| -c_in(c_Pair(A,D,C,C),B,tc_prod(C,C))| -c_in(D,c_Wellfounded_Oacc(B,C),C).
% 243.39/243.45 ** KEPT (pick-wt=22): 323 [] c_in(A,c_Relation_OImage(B,C,D,E),E)| -c_in(c_Pair(F,A,D,E),B,tc_prod(D,E))| -c_in(F,C,D).
% 243.39/243.45 Following clause subsumed by 323 during input processing: 0 [] c_in(A,c_Relation_OImage(B,C,D,E),E)| -c_in(c_Pair(F,A,D,E),B,tc_prod(D,E))| -c_in(F,C,D).
% 243.39/243.45 ** KEPT (pick-wt=16): 324 [] c_in(A,B,C)| -c_in(c_Pair(A,D,C,C),c_Relation_OId__on(B,C),tc_prod(C,C)).
% 243.39/243.45 ** KEPT (pick-wt=16): 325 [] c_in(c_Pair(A,A,B,B),c_Relation_OId__on(C,B),tc_prod(B,B))| -c_in(A,C,B).
% 243.39/243.45 ** KEPT (pick-wt=18): 326 [] c_in(A,B,C)| -c_in(c_Pair(D,A,C,C),E,tc_prod(C,C))| -c_Equiv__Relations_Oe_quiv(B,E,C).
% 243.39/243.45 ** KEPT (pick-wt=18): 327 [] c_in(A,B,C)| -c_in(c_Pair(A,D,C,C),E,tc_prod(C,C))| -c_Equiv__Relations_Oe_quiv(B,E,C).
% 243.39/243.45 ** KEPT (pick-wt=17): 328 [] c_in(A,c_Relation_ORange(B,C,D),D)| -c_in(c_Pair(E,A,C,D),B,tc_prod(C,D)).
% 243.39/243.45 Following clause subsumed by 328 during input processing: 0 [] c_in(A,c_Relation_ORange(B,C,D),D)| -c_in(c_Pair(E,A,C,D),B,tc_prod(C,D)).
% 243.39/243.45 ** KEPT (pick-wt=17): 329 [] c_in(A,c_Relation_ODomain(B,C,D),C)| -c_in(c_Pair(A,E,C,D),B,tc_prod(C,D)).
% 243.39/243.45 Following clause subsumed by 329 during input processing: 0 [] c_in(A,c_Relation_ODomain(B,C,D),C)| -c_in(c_Pair(A,E,C,D),B,tc_prod(C,D)).
% 243.39/243.45 ** KEPT (pick-wt=20): 330 [] c_in(A,hAPP(B,C),D)| -c_in(c_Pair(C,A,E,D),c_Product__Type_OSigma(F,B,E,D),tc_prod(E,D)).
% 243.39/243.45 ** KEPT (pick-wt=18): 331 [] c_in(A,B,C)| -c_in(c_Pair(A,D,C,E),c_Product__Type_OSigma(B,F,C,E),tc_prod(C,E)).
% 243.39/243.45 ** KEPT (pick-wt=35): 332 [] c_in(c_Pair(A,B,C,C),D,tc_prod(C,C))|c_in(c_Pair(B,A,C,C),D,tc_prod(C,C))|B=A| -c_in(A,E,C)| -c_in(B,E,C)| -c_Relation_Ototal__on(E,D,C).
% 243.39/243.45 ** KEPT (pick-wt=18): 333 [] c_in(c_Pair(A,A,B,B),C,tc_prod(B,B))| -c_in(A,D,B)| -c_Relation_Orefl__on(D,C,B).
% 243.39/243.45 ** KEPT (pick-wt=18): 334 [] c_in(A,B,C)| -c_in(c_Pair(D,A,C,C),E,tc_prod(C,C))| -c_Relation_Orefl__on(B,E,C).
% 243.39/243.45 ** KEPT (pick-wt=18): 335 [] c_in(A,B,C)| -c_in(c_Pair(A,D,C,C),E,tc_prod(C,C))| -c_Relation_Orefl__on(B,E,C).
% 243.39/243.45 Following clause subsumed by 333 during input processing: 0 [] c_in(c_Pair(A,A,B,B),C,tc_prod(B,B))| -c_in(A,D,B)| -c_Relation_Orefl__on(D,C,B).
% 243.39/243.45 ** KEPT (pick-wt=28): 336 [] c_in(A,c_FuncSet_OPi(B,C,D,E),tc_fun(D,E))| -c_in(hAPP(A,c_FuncSet_Osko__FuncSet__XPi__I__1__1(B,C,A,D,E)),hAPP(C,c_FuncSet_Osko__FuncSet__XPi__I__1__1(B,C,A,D,E)),E).
% 243.39/243.45 ** KEPT (pick-wt=28): 337 [] c_in(A,c_FuncSet_OPi(B,C,D,E),tc_fun(D,E))| -c_in(hAPP(A,c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(B,C,A,D,E)),hAPP(C,c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(B,C,A,D,E)),E).
% 243.39/243.45 ** KEPT (pick-wt=72): 339 [copy,338,flip.1] c_FuncSet_Ocompose(A,c_FuncSet_Ocompose(B,C,D,E,F,G),H,I,E,G)=c_FuncSet_Ocompose(A,C,c_FuncSet_Ocompose(A,D,H,I,E,F),I,F,G)| -c_in(C,c_FuncSet_OPi(J,c_COMBK(K,tc_fun(G,tc_bool),F),F,G),tc_fun(F,G))| -c_in(D,c_FuncSet_OPi(B,c_COMBK(J,tc_fun(F,tc_bool),E),E,F),tc_fun(E,F))| -c_in(H,c_FuncSet_OPi(A,c_COMBK(B,tc_fun(E,tc_bool),I),I,E),tc_fun(I,E)).
% 243.39/243.45 ** KEPT (pick-wt=51): 340 [] c_in(c_FuncSet_Ocompose(A,B,C,D,E,F),c_FuncSet_OPi(A,c_COMBK(G,tc_fun(F,tc_bool),D),D,F),tc_fun(D,F))| -c_in(B,c_FuncSet_OPi(H,c_COMBK(G,tc_fun(F,tc_bool),E),E,F),tc_fun(E,F))| -c_in(C,c_FuncSet_OPi(A,c_COMBK(H,tc_fun(E,tc_bool),D),D,E),tc_fun(D,E)).
% 243.39/243.46 ** KEPT (pick-wt=21): 341 [] c_in(A,c_FuncSet_OPi(B,c_COMBK(C,tc_fun(D,tc_bool),E),E,D),tc_fun(E,D))| -c_Fun_Obij__betw(A,B,C,E,D).
% 243.39/243.46 ** KEPT (pick-wt=31): 342 [] -c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(B,A,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|A=B| -c_in(C,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)).
% 243.39/243.46 ** KEPT (pick-wt=31): 343 [] c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|c_in(c_Pair(B,A,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|B=A| -c_in(C,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)).
% 243.39/243.46 ** KEPT (pick-wt=28): 344 [] -c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(B,A,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(C,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)).
% 243.39/243.46 ** KEPT (pick-wt=26): 345 [] c_in(A,c_FuncSet_OPi(B,c_COMBK(C,tc_fun(D,tc_bool),E),E,D),tc_fun(E,D))| -c_in(hAPP(A,c_FuncSet_Osko__FuncSet__XfuncsetI__1__1(B,C,A,E,D)),C,D).
% 243.39/243.46 ** KEPT (pick-wt=14): 346 [] c_Pair(A,B,C,D)!=c_Pair(E,F,C,D)|B=F.
% 243.39/243.46 ** KEPT (pick-wt=14): 347 [] c_Pair(A,B,C,D)!=c_Pair(E,F,C,D)|A=E.
% 243.39/243.46 ** KEPT (pick-wt=20): 348 [] hAPP(A,B)=hAPP(B,C)| -c_in(B,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))| -c_Arrow__Order__Mirabelle_Odictator(A,C).
% 243.39/243.46 ** KEPT (pick-wt=22): 349 [] c_in(hAPP(A,B),hAPP(C,B),D)| -c_in(B,E,F)| -c_in(A,c_FuncSet_OPi(E,C,F,D),tc_fun(F,D)).
% 243.39/243.46 Following clause subsumed by 349 during input processing: 0 [] -c_in(A,B,C)|c_in(hAPP(D,A),hAPP(E,A),F)| -c_in(D,c_FuncSet_OPi(B,E,C,F),tc_fun(C,F)).
% 243.39/243.46 ** KEPT (pick-wt=25): 350 [] c_in(hAPP(A,B),C,D)| -c_in(B,E,F)| -c_in(A,c_FuncSet_OPi(E,c_COMBK(C,tc_fun(D,tc_bool),F),F,D),tc_fun(F,D)).
% 243.39/243.46 ** KEPT (pick-wt=8): 351 [] c_in(A,B,C)| -hBOOL(hAPP(B,A)).
% 243.39/243.46 ** KEPT (pick-wt=8): 352 [] hBOOL(hAPP(A,B))| -c_in(B,A,C).
% 243.39/243.46 ** KEPT (pick-wt=3): 353 [] -c_Arrow__Order__Mirabelle_Odictator(v_F,v_i).
% 243.39/243.46 ** KEPT (pick-wt=37): 354 [] c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,C),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| -c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(C,v_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|A=B| -c_in(C,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))).
% 243.39/243.46 ** KEPT (pick-wt=8): 355 [] class_Finite__Set_Ofinite_Ofinite(tc_prod(A,B))| -class_Finite__Set_Ofinite_Ofinite(B)| -class_Finite__Set_Ofinite_Ofinite(A).
% 243.39/243.46 ** KEPT (pick-wt=6): 356 [] class_Lattices_Olower__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 243.39/243.46 ** KEPT (pick-wt=6): 357 [] class_Lattices_Obounded__lattice(tc_fun(A,B))| -class_Lattices_Obounded__lattice(B).
% 243.39/243.46 ** KEPT (pick-wt=8): 358 [] class_Finite__Set_Ofinite_Ofinite(tc_fun(A,B))| -class_Finite__Set_Ofinite_Ofinite(B)| -class_Finite__Set_Ofinite_Ofinite(A).
% 243.39/243.46 ** KEPT (pick-wt=6): 359 [] class_Orderings_Opreorder(tc_fun(A,B))| -class_Orderings_Opreorder(B).
% 243.39/243.46 ** KEPT (pick-wt=6): 360 [] class_Lattices_Olattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 243.39/243.46 ** KEPT (pick-wt=6): 361 [] class_Orderings_Oorder(tc_fun(A,B))| -class_Orderings_Oorder(B).
% 243.39/243.46 ** KEPT (pick-wt=6): 362 [] class_Orderings_Obot(tc_fun(A,B))| -class_Orderings_Obot(B).
% 243.39/243.46 ** KEPT (pick-wt=6): 363 [] class_HOL_Oord(tc_fun(A,B))| -class_HOL_Oord(B).
% 243.39/243.46 ** KEPT (pick-wt=7): 364 [] A=B| -c_fe_qual(A,B,C).
% 243.39/243.46 3 back subsumes 2.
% 243.39/243.46 Following clause subsumed by 20 during input processing: 0 [copy,10,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 243.39/243.46 10 back subsumes 5.
% 243.39/243.46 Following clause subsumed by 10 during input processing: 0 [copy,20,flip.1] c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 243.39/243.46 62 back subsumes 61.
% 243.39/243.46 83 back subsumes 67.
% 243.39/243.46 181 back subsumes 172.
% 243.39/243.46 216 back subsumes 175.
% 243.39/243.46 238 back subsumes 234.
% 243.39/243.46 309 back subsumes 308.
% 243.39/243.46 312 back subsumes 311.
% 243.39/243.46 344 back subsumes 342.
% 243.39/243.46 401 back subsumes 393.
% 243.39/243.46
% 243.39/243.46 ------------> process sos:
% 243.39/243.46 ** KEPT (pick-wt=3): 424 [] A=A.
% 243.39/243.46 ** KEPT (pick-wt=13): 425 [] 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)).
% 243.39/243.46 ---> New Demodulator: 426 [new_demod,425] 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)).
% 243.39/243.46 ** KEPT (pick-wt=13): 427 [] 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).
% 243.39/243.46 ** KEPT (pick-wt=15): 428 [] c_Product__Type_OSigma(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,A,C)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,C),tc_bool)).
% 243.39/243.46 ** KEPT (pick-wt=8): 429 [] c_Wellfounded_Owf(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,A),tc_bool)),A).
% 243.39/243.46 ** KEPT (pick-wt=16): 430 [] 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)).
% 243.39/243.46 ** KEPT (pick-wt=13): 432 [copy,431,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).
% 243.39/243.46 ---> New Demodulator: 433 [new_demod,432] 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).
% 243.39/243.46 ** KEPT (pick-wt=13): 434 [] 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)).
% 243.39/243.46 ** KEPT (pick-wt=21): 435 [] 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).
% 243.39/243.46 ** KEPT (pick-wt=14): 436 [] c_Relation_ODomain(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,B),tc_bool)),A,B)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 243.39/243.46 ---> New Demodulator: 437 [new_demod,436] c_Relation_ODomain(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,B),tc_bool)),A,B)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 243.39/243.46 ** KEPT (pick-wt=18): 438 [] 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)).
% 243.39/243.46 ** KEPT (pick-wt=18): 439 [] 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)).
% 243.39/243.46 ** KEPT (pick-wt=9): 440 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool)).
% 243.39/243.46 ** KEPT (pick-wt=13): 442 [copy,441,demod,433] c_lesse_quals(c_Relation_OId__on(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),B,tc_fun(tc_prod(A,A),tc_bool)).
% 243.39/243.46 ** KEPT (pick-wt=13): 443 [] 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)).
% 243.39/243.46 ** KEPT (pick-wt=14): 444 [] 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)).
% 243.39/243.46 ---> New Demodulator: 445 [new_demod,444] 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)).
% 243.39/243.46 ** KEPT (pick-wt=14): 446 [] 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)).
% 243.39/243.46 ---> New Demodulator: 447 [new_demod,446] 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)).
% 243.39/243.46 ** KEPT (pick-wt=6): 448 [] c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A).
% 243.39/243.46 ** KEPT (pick-wt=22): 449 [] 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)).
% 243.39/243.46 ** KEPT (pick-wt=8): 451 [copy,450,demod,433] c_Relation_Oantisym(c_Relation_OId__on(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A).
% 243.39/243.46 ** KEPT (pick-wt=14): 452 [] c_Relation_ORange(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,B),tc_bool)),A,B)=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 243.39/243.46 ---> New Demodulator: 453 [new_demod,452] c_Relation_ORange(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,B),tc_bool)),A,B)=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 243.39/243.46 Following clause subsumed by 440 during input processing: 0 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),tc_fun(A,tc_bool)).
% 243.39/243.46 ** KEPT (pick-wt=12): 455 [copy,454,demod,433] c_Relation_Orefl__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).
% 243.39/243.46 ** KEPT (pick-wt=7): 456 [] c_Relation_Ototal__on(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,A).
% 243.39/243.46 ** KEPT (pick-wt=10): 457 [] c_in(A,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),B).
% 243.39/243.46 ** KEPT (pick-wt=20): 458 [] c_Product__Type_OSigma(A,c_COMBK(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool),C),C,B)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(C,B),tc_bool)).
% 243.39/243.46 ** KEPT (pick-wt=15): 460 [copy,459,demod,433,433] c_Transitive__Closure_Otrancl(c_Relation_OId__on(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A)=c_Relation_OId__on(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A).
% 243.39/243.46 ---> New Demodulator: 461 [new_demod,460] c_Transitive__Closure_Otrancl(c_Relation_OId__on(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A)=c_Relation_OId__on(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A).
% 243.39/243.46 ** KEPT (pick-wt=11): 463 [copy,462,demod,433,flip.1] c_Relation_OId(A)=c_Transitive__Closure_Ortrancl(c_Relation_OId__on(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A).
% 243.39/243.46 ---> New Demodulator: 464 [new_demod,463] c_Relation_OId(A)=c_Transitive__Closure_Ortrancl(c_Relation_OId__on(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A).
% 243.39/243.46 ** KEPT (pick-wt=27): 465 [] c_lesse_quals(c_Relation_ORange(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(tc_prod(C,D),tc_bool)),C,D),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_ORange(A,C,D),c_Relation_ORange(B,C,D),tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 243.39/243.46 ** KEPT (pick-wt=21): 466 [] c_Relation_ORange(c_Set_Oinsert(c_Pair(A,B,C,D),E,tc_prod(C,D)),C,D)=c_Set_Oinsert(B,c_Relation_ORange(E,C,D),D).
% 243.39/243.46 ---> New Demodulator: 467 [new_demod,466] c_Relation_ORange(c_Set_Oinsert(c_Pair(A,B,C,D),E,tc_prod(C,D)),C,D)=c_Set_Oinsert(B,c_Relation_ORange(E,C,D),D).
% 243.39/243.46 ** KEPT (pick-wt=7): 468 [] c_in(A,c_Set_Oinsert(A,B,C),C).
% 243.39/243.46 Following clause subsumed by 468 during input processing: 0 [] c_in(A,c_Set_Oinsert(A,B,C),C).
% 243.39/243.46 Following clause subsumed by 468 during input processing: 0 [] c_in(A,c_Set_Oinsert(A,B,C),C).
% 243.39/243.46 ** KEPT (pick-wt=20): 469 [] c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(A,B,C),D,tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(C,tc_bool))|c_in(A,D,C).
% 243.39/243.46 ** KEPT (pick-wt=20): 470 [] c_Lattices_Olower__semilattice__class_Oinf(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_fun(D,tc_bool))|c_in(B,A,D).
% 243.39/243.46 ** KEPT (pick-wt=26): 471 [] c_Relation_Oconverse(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(tc_prod(C,D),tc_bool)),C,D)=c_Lattices_Olower__semilattice__class_Oinf(c_Relation_Oconverse(A,C,D),c_Relation_Oconverse(B,C,D),tc_fun(tc_prod(D,C),tc_bool)).
% 243.39/243.46 ** KEPT (pick-wt=10): 472 [] c_Relation_OField(c_Relation_Oconverse(A,B,B),B)=c_Relation_OField(A,B).
% 243.39/243.46 ---> New Demodulator: 473 [new_demod,472] c_Relation_OField(c_Relation_Oconverse(A,B,B),B)=c_Relation_OField(A,B).
% 243.39/243.46 ** KEPT (pick-wt=13): 474 [] 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)).
% 243.39/243.46 ** KEPT (pick-wt=15): 475 [] c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D).
% 243.39/243.46 ** KEPT (pick-wt=27): 477 [copy,476,flip.1] c_Lattices_Olower__semilattice__class_Oinf(c_Product__Type_OSigma(A,B,C,D),c_Product__Type_OSigma(E,B,C,D),tc_fun(tc_prod(C,D),tc_bool))=c_Product__Type_OSigma(c_Lattices_Olower__semilattice__class_Oinf(A,E,tc_fun(C,tc_bool)),B,C,D).
% 243.39/243.46 ---> New Demodulator: 478 [new_demod,477] c_Lattices_Olower__semilattice__class_Oinf(c_Product__Type_OSigma(A,B,C,D),c_Product__Type_OSigma(E,B,C,D),tc_fun(tc_prod(C,D),tc_bool))=c_Product__Type_OSigma(c_Lattices_Olower__semilattice__class_Oinf(A,E,tc_fun(C,tc_bool)),B,C,D).
% 243.39/243.46 ** KEPT (pick-wt=8): 479 [] c_Set_Oimage(c_COMBI(A),B,A,A)=B.
% 243.39/243.46 ---> New Demodulator: 480 [new_demod,479] c_Set_Oimage(c_COMBI(A),B,A,A)=B.
% 243.39/243.46 ** KEPT (pick-wt=22): 482 [copy,481,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)).
% 243.39/243.46 ---> New Demodulator: 483 [new_demod,482] 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)).
% 243.39/243.46 ** KEPT (pick-wt=12): 484 [] c_Set_Oinsert(A,c_Set_Oinsert(A,B,C),C)=c_Set_Oinsert(A,B,C).
% 243.39/243.46 ---> New Demodulator: 485 [new_demod,484] c_Set_Oinsert(A,c_Set_Oinsert(A,B,C),C)=c_Set_Oinsert(A,B,C).
% 243.39/243.46 ** KEPT (pick-wt=21): 486 [] c_Relation_ODomain(c_Set_Oinsert(c_Pair(A,B,C,D),E,tc_prod(C,D)),C,D)=c_Set_Oinsert(A,c_Relation_ODomain(E,C,D),C).
% 243.39/243.46 ---> New Demodulator: 487 [new_demod,486] c_Relation_ODomain(c_Set_Oinsert(c_Pair(A,B,C,D),E,tc_prod(C,D)),C,D)=c_Set_Oinsert(A,c_Relation_ODomain(E,C,D),C).
% 243.39/243.46 ** KEPT (pick-wt=27): 488 [] c_lesse_quals(c_Relation_ODomain(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(tc_prod(C,D),tc_bool)),C,D),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_ODomain(A,C,D),c_Relation_ODomain(B,C,D),tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 243.39/243.46 ** KEPT (pick-wt=9): 489 [] c_lesse_quals(A,c_Set_Oinsert(B,A,C),tc_fun(C,tc_bool)).
% 243.39/243.46 ** KEPT (pick-wt=28): 490 [] c_lesse_quals(c_Set_Oimage(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),D,E),c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(A,B,D,E),c_Set_Oimage(A,C,D,E),tc_fun(E,tc_bool)),tc_fun(E,tc_bool)).
% 243.39/243.46 ** KEPT (pick-wt=28): 491 [] c_lesse_quals(c_Relation_OImage(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),D,E),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_OImage(A,B,D,E),c_Relation_OImage(A,C,D,E),tc_fun(E,tc_bool)),tc_fun(E,tc_bool)).
% 243.39/243.46 Following clause subsumed by 424 during input processing: 0 [demod,478] c_Product__Type_OSigma(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_COMBK(D,tc_fun(E,tc_bool),C),C,E)=c_Product__Type_OSigma(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_COMBK(D,tc_fun(E,tc_bool),C),C,E).
% 243.39/243.46 ** KEPT (pick-wt=23): 492 [] 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)).
% 243.39/243.46 ---> New Demodulator: 493 [new_demod,492] 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)).
% 243.39/243.46 ** KEPT (pick-wt=23): 494 [] 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)).
% 243.39/243.46 ** KEPT (pick-wt=15): 495 [] c_Set_Oimage(c_FuncSet_Orestrict(A,B,C,D),B,C,D)=c_Set_Oimage(A,B,C,D).
% 243.39/243.46 ---> New Demodulator: 496 [new_demod,495] c_Set_Oimage(c_FuncSet_Orestrict(A,B,C,D),B,C,D)=c_Set_Oimage(A,B,C,D).
% 243.39/243.46 ** KEPT (pick-wt=21): 497 [] c_Set_Oimage(c_FuncSet_Ocompose(A,B,C,D,E,F),A,D,F)=c_Set_Oimage(B,c_Set_Oimage(C,A,D,E),E,F).
% 243.39/243.46 ---> New Demodulator: 498 [new_demod,497] c_Set_Oimage(c_FuncSet_Ocompose(A,B,C,D,E,F),A,D,F)=c_Set_Oimage(B,c_Set_Oimage(C,A,D,E),E,F).
% 243.39/243.46 ** KEPT (pick-wt=19): 500 [copy,499,flip.1] c_Set_Oinsert(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)=c_Set_Oimage(A,c_Set_Oinsert(B,C,D),D,E).
% 243.39/243.46 ---> New Demodulator: 501 [new_demod,500] c_Set_Oinsert(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)=c_Set_Oimage(A,c_Set_Oinsert(B,C,D),D,E).
% 243.39/243.46 ** KEPT (pick-wt=11): 502 [] c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),A,tc_fun(C,tc_bool)).
% 243.39/243.46 ** KEPT (pick-wt=11): 503 [] c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)).
% 243.39/243.46 ** KEPT (pick-wt=7): 504 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),A)).
% 243.39/243.46 ** KEPT (pick-wt=18): 505 [] c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)).
% 243.39/243.46 ---> New Demodulator: 506 [new_demod,505] c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)).
% 243.39/243.46 ** KEPT (pick-wt=8): 507 [] c_Lattices_Olower__semilattice__class_Oinf(A,A,tc_fun(B,tc_bool))=A.
% 243.39/243.46 ---> New Demodulator: 508 [new_demod,507] c_Lattices_Olower__semilattice__class_Oinf(A,A,tc_fun(B,tc_bool))=A.
% 243.39/243.46 ** KEPT (pick-wt=13): 509 [] c_Relation_Osym(c_Lattices_Olower__semilattice__class_Oinf(A,c_Relation_Oconverse(A,B,B),tc_fun(tc_prod(B,B),tc_bool)),B).
% 243.39/243.46 ** KEPT (pick-wt=14): 510 [] 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)).
% 243.39/243.46 ** KEPT (pick-wt=19): 511 [] c_in(c_Pair(c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1(A,B,C),B,C,C),A,tc_prod(C,C))|c_in(B,c_Wellfounded_Oacc(A,C),C).
% 243.39/243.46 ** KEPT (pick-wt=19): 512 [] c_in(A,c_Wellfounded_Oacc(B,C),C)|c_in(c_Pair(c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1(B,A,C),A,C,C),B,tc_prod(C,C)).
% 243.39/243.46 ** KEPT (pick-wt=13): 513 [] c_Arrow__Order__Mirabelle_Ounanimity(A)|c_in(v_sko__Arrow__Order__Mirabelle__Xunanimity__def__2(A),c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))).
% 243.39/243.46 ** KEPT (pick-wt=23): 514 [] c_lesse_quals(c_Transitive__Closure_Otrancl(A,B),c_Product__Type_OSigma(c_Relation_OField(A,B),c_COMBK(c_Relation_OField(A,B),tc_fun(B,tc_bool),B),B,B),tc_fun(tc_prod(B,B),tc_bool)).
% 243.39/243.46 ** KEPT (pick-wt=23): 515 [] c_in(c_FuncSet_Orestrict(A,B,C,D),c_FuncSet_OPi(B,E,C,D),tc_fun(C,D))|c_in(c_FuncSet_Osko__FuncSet__XrestrictI__1__1(B,E,A,C,D),B,C).
% 243.39/243.46 ** KEPT (pick-wt=34): 516 [] c_FuncSet_Ocompose(c_Set_Oimage(A,B,C,D),A,c_FuncSet_Orestrict(c_Hilbert__Choice_Oinv__into(B,A,C,D),c_Set_Oimage(A,B,C,D),D,C),D,C,D)=c_FuncSet_Orestrict(c_COMBI(D),c_Set_Oimage(A,B,C,D),D,D).
% 243.39/243.46 ** KEPT (pick-wt=31): 517 [] c_in(c_FuncSet_Orestrict(c_Hilbert__Choice_Oinv__into(A,B,C,D),c_Set_Oimage(B,A,C,D),D,C),c_FuncSet_OPi(c_Set_Oimage(B,A,C,D),c_COMBK(A,tc_fun(C,tc_bool),D),D,C),tc_fun(D,C)).
% 243.39/243.46 ** KEPT (pick-wt=19): 518 [] c_lesse_quals(c_Relation_OId__on(A,B),c_Product__Type_OSigma(A,c_COMBK(A,tc_fun(B,tc_bool),B),B,B),tc_fun(tc_prod(B,B),tc_bool)).
% 243.39/243.46 ** KEPT (pick-wt=15): 519 [] c_in(c_FuncSet_Ocompose(A,B,C,D,E,F),c_FuncSet_Oextensional(A,D,F),tc_fun(D,F)).
% 243.39/243.46 ** KEPT (pick-wt=13): 520 [] c_in(c_FuncSet_Orestrict(A,B,C,D),c_FuncSet_Oextensional(B,C,D),tc_fun(C,D)).
% 243.39/243.46 ** KEPT (pick-wt=6): 521 [] c_lesse_quals(A,A,tc_fun(B,tc_bool)).
% 243.39/243.46 Following clause subsumed by 521 during input processing: 0 [] c_lesse_quals(A,A,tc_fun(B,tc_bool)).
% 243.39/243.46 ** KEPT (pick-wt=19): 522 [] c_in(A,c_Relation_ODomain(B,C,C),C)|c_in(c_Pair(A,A,C,C),c_Transitive__Closure_Ortrancl(B,C),tc_prod(C,C)).
% 243.39/243.46 ** KEPT (pick-wt=11): 523 [] c_Relation_ODomain(c_Transitive__Closure_Otrancl(A,B),B,B)=c_Relation_ODomain(A,B,B).
% 243.39/243.46 ---> New Demodulator: 524 [new_demod,523] c_Relation_ODomain(c_Transitive__Closure_Otrancl(A,B),B,B)=c_Relation_ODomain(A,B,B).
% 243.39/243.46 ** KEPT (pick-wt=10): 526 [copy,525,demod,464] c_Relation_Osym(c_Transitive__Closure_Ortrancl(c_Relation_OId__on(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A),A).
% 243.39/243.46 ** KEPT (pick-wt=5): 527 [] c_Relation_Otrans(c_Relation_OId__on(A,B),B).
% 243.39/243.46 ** KEPT (pick-wt=15): 529 [copy,528,demod,464] 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.
% 243.39/243.46 ---> New Demodulator: 530 [new_demod,529] 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.
% 243.39/243.46 ** KEPT (pick-wt=15): 532 [copy,531,demod,464] 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.
% 243.39/243.46 ---> New Demodulator: 533 [new_demod,532] 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.
% 243.39/243.46 ** KEPT (pick-wt=5): 534 [] c_Relation_Oantisym(c_Relation_OId__on(A,B),B).
% 243.39/243.46 ** KEPT (pick-wt=14): 536 [copy,535,demod,464] c_Relation_OImage(c_Transitive__Closure_Ortrancl(c_Relation_OId__on(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A),B,A,A)=B.
% 243.39/243.46 ---> New Demodulator: 537 [new_demod,536] c_Relation_OImage(c_Transitive__Closure_Ortrancl(c_Relation_OId__on(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A),B,A,A)=B.
% 243.39/243.46 ** KEPT (pick-wt=6): 538 [] hAPP(c_COMBI(A),B)=B.
% 243.39/243.46 ---> New Demodulator: 539 [new_demod,538] hAPP(c_COMBI(A),B)=B.
% 243.39/243.46 ** KEPT (pick-wt=8): 540 [] c_Relation_ODomain(c_Relation_OId__on(A,B),B,B)=A.
% 243.39/243.46 ---> New Demodulator: 541 [new_demod,540] c_Relation_ODomain(c_Relation_OId__on(A,B),B,B)=A.
% 243.39/243.46 ** KEPT (pick-wt=11): 542 [] c_Relation_ORange(c_Transitive__Closure_Otrancl(A,B),B,B)=c_Relation_ORange(A,B,B).
% 243.39/243.46 ---> New Demodulator: 543 [new_demod,542] c_Relation_ORange(c_Transitive__Closure_Otrancl(A,B),B,B)=c_Relation_ORange(A,B,B).
% 243.39/243.46 ** KEPT (pick-wt=5): 544 [] c_Relation_Otrans(c_Transitive__Closure_Otrancl(A,B),B).
% 243.39/243.46 ** KEPT (pick-wt=22): 545 [] c_Relation_Oconverse(c_Relation_Orel__comp(A,B,C,D,E),C,E)=c_Relation_Orel__comp(c_Relation_Oconverse(B,D,E),c_Relation_Oconverse(A,C,D),E,D,C).
% 243.39/243.46 ---> New Demodulator: 546 [new_demod,545] c_Relation_Oconverse(c_Relation_Orel__comp(A,B,C,D,E),C,E)=c_Relation_Orel__comp(c_Relation_Oconverse(B,D,E),c_Relation_Oconverse(A,C,D),E,D,C).
% 243.39/243.46 ** KEPT (pick-wt=5): 547 [] c_Relation_Osym(c_Relation_OId__on(A,B),B).
% 243.39/243.46 ** KEPT (pick-wt=6): 548 [] c_Relation_Orefl__on(A,c_Relation_OId__on(A,B),B).
% 243.39/243.46 ** KEPT (pick-wt=17): 550 [copy,549,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).
% 243.39/243.46 ---> New Demodulator: 551 [new_demod,550] 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).
% 243.39/243.46 ** KEPT (pick-wt=9): 552 [] c_Transitive__Closure_Otrancl(c_Transitive__Closure_Ortrancl(A,B),B)=c_Transitive__Closure_Ortrancl(A,B).
% 243.39/243.46 ---> New Demodulator: 553 [new_demod,552] c_Transitive__Closure_Otrancl(c_Transitive__Closure_Ortrancl(A,B),B)=c_Transitive__Closure_Ortrancl(A,B).
% 243.39/243.46 ** KEPT (pick-wt=5): 554 [] c_Relation_Otrans(c_Transitive__Closure_Ortrancl(A,B),B).
% 243.39/243.46 ** KEPT (pick-wt=20): 556 [copy,555,demod,464,464] c_Relation_Oconverse(c_Transitive__Closure_Ortrancl(c_Relation_OId__on(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A),A,A)=c_Transitive__Closure_Ortrancl(c_Relation_OId__on(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A).
% 243.39/243.46 ---> New Demodulator: 557 [new_demod,556] c_Relation_Oconverse(c_Transitive__Closure_Ortrancl(c_Relation_OId__on(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A),A,A)=c_Transitive__Closure_Ortrancl(c_Relation_OId__on(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A).
% 243.39/243.46 ** KEPT (pick-wt=23): 558 [] 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).
% 243.39/243.46 ---> New Demodulator: 559 [new_demod,558] 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).
% 243.39/243.46 ** KEPT (pick-wt=17): 560 [] c_Relation_Oconverse(c_Relation_Oinv__image(A,B,C,D),D,D)=c_Relation_Oinv__image(c_Relation_Oconverse(A,C,C),B,C,D).
% 243.39/243.46 ---> New Demodulator: 561 [new_demod,560] c_Relation_Oconverse(c_Relation_Oinv__image(A,B,C,D),D,D)=c_Relation_Oinv__image(c_Relation_Oconverse(A,C,C),B,C,D).
% 243.39/243.46 ** KEPT (pick-wt=13): 562 [] c_Transitive__Closure_Otrancl(c_Relation_Oconverse(A,B,B),B)=c_Relation_Oconverse(c_Transitive__Closure_Otrancl(A,B),B,B).
% 243.39/243.46 ---> New Demodulator: 563 [new_demod,562] c_Transitive__Closure_Otrancl(c_Relation_Oconverse(A,B,B),B)=c_Relation_Oconverse(c_Transitive__Closure_Otrancl(A,B),B,B).
% 243.39/243.46 ** KEPT (pick-wt=10): 564 [] c_Relation_Oconverse(c_Relation_OId__on(A,B),B,B)=c_Relation_OId__on(A,B).
% 243.39/243.46 ---> New Demodulator: 565 [new_demod,564] c_Relation_Oconverse(c_Relation_OId__on(A,B),B,B)=c_Relation_OId__on(A,B).
% 243.39/243.46 ** KEPT (pick-wt=10): 567 [copy,566,demod,464] c_Relation_Oantisym(c_Transitive__Closure_Ortrancl(c_Relation_OId__on(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A),A).
% 243.39/243.46 ** KEPT (pick-wt=12): 568 [] c_Relation_ORange(c_Relation_Oconverse(A,B,C),C,B)=c_Relation_ODomain(A,B,C).
% 243.39/243.46 ---> New Demodulator: 569 [new_demod,568] c_Relation_ORange(c_Relation_Oconverse(A,B,C),C,B)=c_Relation_ODomain(A,B,C).
% 243.39/243.46 ** KEPT (pick-wt=8): 570 [] c_Relation_ORange(c_Relation_OId__on(A,B),B,B)=A.
% 243.39/243.46 ---> New Demodulator: 571 [new_demod,570] c_Relation_ORange(c_Relation_OId__on(A,B),B,B)=A.
% 243.39/243.46 ** KEPT (pick-wt=9): 572 [] c_Relation_Oconverse(c_Relation_Oconverse(A,B,C),C,B)=A.
% 243.39/243.46 ---> New Demodulator: 573 [new_demod,572] c_Relation_Oconverse(c_Relation_Oconverse(A,B,C),C,B)=A.
% 243.39/243.46 Following clause subsumed by 554 during input processing: 0 [demod,464] c_Relation_Otrans(c_Transitive__Closure_Ortrancl(c_Relation_OId__on(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A),A).
% 243.39/243.46 ** KEPT (pick-wt=14): 574 [] 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).
% 243.39/243.46 ---> New Demodulator: 575 [new_demod,574] 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).
% 243.39/243.46 ** KEPT (pick-wt=13): 576 [] c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(A,B,B),B)=c_Relation_Oconverse(c_Transitive__Closure_Ortrancl(A,B),B,B).
% 243.39/243.46 ---> New Demodulator: 577 [new_demod,576] c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(A,B,B),B)=c_Relation_Oconverse(c_Transitive__Closure_Ortrancl(A,B),B,B).
% 243.39/243.46 ** KEPT (pick-wt=12): 578 [] c_Relation_ODomain(c_Relation_Oconverse(A,B,C),C,B)=c_Relation_ORange(A,B,C).
% 243.39/243.46 ---> New Demodulator: 579 [new_demod,578] c_Relation_ODomain(c_Relation_Oconverse(A,B,C),C,B)=c_Relation_ORange(A,B,C).
% 243.39/243.46 ** KEPT (pick-wt=12): 581 [copy,580,demod,551] c_Transitive__Closure_Otrancl(A,B)=c_Relation_Orel__comp(A,c_Transitive__Closure_Ortrancl(A,B),B,B,B).
% 243.39/243.46 ---> New Demodulator: 582 [new_demod,581] c_Transitive__Closure_Otrancl(A,B)=c_Relation_Orel__comp(A,c_Transitive__Closure_Ortrancl(A,B),B,B,B).
% 243.39/243.46 Following clause subsumed by 424 during input processing: 0 [demod,582] c_Relation_Orel__comp(A,c_Transitive__Closure_Ortrancl(A,B),B,B,B)=c_Relation_Orel__comp(A,c_Transitive__Closure_Ortrancl(A,B),B,B,B).
% 243.39/243.46 Following clause subsumed by 424 during input processing: 0 [demod,579] c_Relation_ORange(A,B,C)=c_Relation_ORange(A,B,C).
% 243.39/243.46 ** KEPT (pick-wt=14): 584 [copy,583,demod,582] c_Transitive__Closure_Ortrancl(c_Relation_Orel__comp(A,c_Transitive__Closure_Ortrancl(A,B),B,B,B),B)=c_Transitive__Closure_Ortrancl(A,B).
% 243.39/243.46 ---> New Demodulator: 585 [new_demod,584] c_Transitive__Closure_Ortrancl(c_Relation_Orel__comp(A,c_Transitive__Closure_Ortrancl(A,B),B,B,B),B)=c_Transitive__Closure_Ortrancl(A,B).
% 243.39/243.46 ** KEPT (pick-wt=9): 586 [] c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Ortrancl(A,B),B)=c_Transitive__Closure_Ortrancl(A,B).
% 243.39/243.46 ---> New Demodulator: 587 [new_demod,586] c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Ortrancl(A,B),B)=c_Transitive__Closure_Ortrancl(A,B).
% 243.39/243.46 ** KEPT (pick-wt=12): 588 [] c_in(c_Pair(A,A,B,B),c_Transitive__Closure_Ortrancl(C,B),tc_prod(B,B)).
% 243.39/243.46 Following clause subsumed by 588 during input processing: 0 [] c_in(c_Pair(A,A,B,B),c_Transitive__Closure_Ortrancl(C,B),tc_prod(B,B)).
% 243.39/243.46 Following clause subsumed by 588 during input processing: 0 [demod,464] c_in(c_Pair(A,A,B,B),c_Transitive__Closure_Ortrancl(c_Relation_OId__on(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),B),tc_prod(B,B)).
% 243.39/243.46 Following clause subsumed by 588 during input processing: 0 [demod,464] c_in(c_Pair(A,A,B,B),c_Transitive__Closure_Ortrancl(c_Relation_OId__on(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),B),tc_prod(B,B)).
% 243.39/243.46 ** KEPT (pick-wt=28): 589 [] c_in(c_FuncSet_Orestrict(A,B,C,D),c_FuncSet_OPi(B,c_COMBK(E,tc_fun(D,tc_bool),C),C,D),tc_fun(C,D))|c_in(c_FuncSet_Osko__FuncSet__Xrestrict__in__funcset__1__1(B,E,A,C,D),B,C).
% 243.39/243.46 ** KEPT (pick-wt=18): 590 [] A=B|B=A|c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(C,A),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 243.39/243.46 ** KEPT (pick-wt=15): 592 [copy,591,factor_simp] A=B|c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(C,B),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 243.39/243.46 ** KEPT (pick-wt=19): 593 [] c_in(A,c_FuncSet_OPi(B,C,D,E),tc_fun(D,E))|c_in(c_FuncSet_Osko__FuncSet__XPi__I__1__1(B,C,A,D,E),B,D).
% 243.39/243.46 ** KEPT (pick-wt=19): 594 [] c_in(A,c_FuncSet_OPi(B,C,D,E),tc_fun(D,E))|c_in(c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(B,C,A,D,E),B,D).
% 243.39/243.46 ** KEPT (pick-wt=16): 595 [] c_in(c_COMBI(A),c_FuncSet_OPi(B,c_COMBK(B,tc_fun(A,tc_bool),A),A,A),tc_fun(A,A)).
% 243.39/243.46 ** KEPT (pick-wt=24): 596 [] c_in(A,c_FuncSet_OPi(B,c_COMBK(C,tc_fun(D,tc_bool),E),E,D),tc_fun(E,D))|c_in(c_FuncSet_Osko__FuncSet__XfuncsetI__1__1(B,C,A,E,D),B,E).
% 243.39/243.46 ** KEPT (pick-wt=15): 597 [] c_Arrow__Order__Mirabelle_Odictator(A,B)|c_in(v_sko__Arrow__Order__Mirabelle__Xdictator__def__1(A,B),c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))).
% 243.39/243.46 ** KEPT (pick-wt=8): 598 [] hAPP(c_COMBK(A,B,C),D)=A.
% 243.39/243.46 ---> New Demodulator: 599 [new_demod,598] hAPP(c_COMBK(A,B,C),D)=A.
% 243.39/243.46 ** KEPT (pick-wt=45): 600 [] c_in(v_F,c_FuncSet_OPi(c_Arrow__Order__Mirabelle_OProf,c_COMBK(c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))).
% 243.39/243.46 ** KEPT (pick-wt=2): 601 [] class_Lattices_Olower__semilattice(tc_bool).
% 243.39/243.46 ** KEPT (pick-wt=2): 602 [] class_Lattices_Obounded__lattice(tc_bool).
% 243.39/243.46 ** KEPT (pick-wt=2): 603 [] class_Finite__Set_Ofinite_Ofinite(tc_bool).
% 243.39/243.46 ** KEPT (pick-wt=2): 604 [] class_Orderings_Opreorder(tc_bool).
% 243.39/243.46 ** KEPT (pick-wt=2): 605 [] class_Lattices_Olattice(tc_bool).
% 243.39/243.46 ** KEPT (pick-wt=2): 606 [] class_Orderings_Oorder(tc_bool).
% 243.39/243.46 ** KEPT (pick-wt=2): 607 [] class_Orderings_Obot(tc_bool).
% 243.39/243.46 ** KEPT (pick-wt=2): 608 [] class_HOL_Oord(tc_bool).
% 243.39/243.46 Following clause subsumed by 424 during input processing: 0 [demod,599] A=A.
% 243.39/243.46 Following clause subsumed by 424 during input processing: 0 [demod,539] B=B.
% 243.39/243.46 ** KEPT (pick-wt=4): 609 [] c_fe_qual(A,A,B).
% 243.39/243.46 Following clause subsumed by 424 during input processing: 0 [copy,424,flip.1] A=A.
% 243.39/243.46 424 back subsumes 419.
% 243.39/243.46 424 back subsumes 414.
% 243.39/243.46 424 back subsumes 411.
% 243.39/243.46 424 back subsumes 407.
% 243.39/243.46 424 back subsumes 405.
% 243.39/243.46 424 back subsumes 404.
% 243.39/243.46 424 back subsumes 399.
% 243.39/243.46 424 back subsumes 398.
% 243.39/243.46 424 back subsumes 395.
% 243.39/243.46 424 back subsumes 392.
% 243.39/243.46 424 back subsumes 391.
% 243.39/243.46 424 back subsumes 390.
% 243.39/243.46 424 back subsumes 389.
% 243.39/243.46 424 back subsumes 377.
% 243.39/243.46 424 back subsumes 375.
% 243.39/243.46 424 back subsumes 374.
% 243.39/243.46 424 back subsumes 373.
% 243.39/243.46 424 back subsumes 370.
% 243.39/243.46 >>>> Starting back demodulation with 426.
% 243.39/243.46 Following clause subsumed by 434 during input processing: 0 [copy,427,flip.1] 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)).
% 243.39/243.46 ** KEPT (pick-wt=15): 610 [copy,428,flip.1] c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,B),tc_bool))=c_Product__Type_OSigma(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),C,A,B).
% 243.39/243.46 Following clause subsumed by 427 during input processing: 0 [copy,430,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Set_Oimage(c_COMBK(B,A,C),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C,A).
% 243.39/243.46 >>>> Starting back demodulation with 433.
% 243.39/243.46 >> back demodulating 429 with 433.
% 243.39/243.46 >> back demodulating 425 with 433.
% 243.39/243.46 >> back demodulating 56 with 433.
% 243.39/243.46 >> back demodulating 24 with 433.
% 243.39/243.46 Following clause subsumed by 427 during input processing: 0 [copy,434,flip.1] 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).
% 243.39/243.46 434 back subsumes 430.
% 243.39/243.46 Following clause subsumed by 475 during input processing: 0 [copy,435,flip.1] 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).
% 243.39/243.46 >>>> Starting back demodulation with 437.
% 243.39/243.46 ** KEPT (pick-wt=18): 616 [copy,438,flip.1] c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,B),tc_bool))=c_Relation_Orel__comp(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,C),tc_bool)),D,A,C,B).
% 243.39/243.46 ** KEPT (pick-wt=18): 617 [copy,439,flip.1] c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,B),tc_bool))=c_Relation_Orel__comp(C,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(D,B),tc_bool)),A,D,B).
% 243.39/243.46 ** KEPT (pick-wt=13): 618 [copy,443,flip.1] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Relation_OImage(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C,A).
% 243.39/243.46 >>>> Starting back demodulation with 445.
% 243.39/243.46 >>>> Starting back demodulation with 447.
% 243.39/243.46 >>>> Starting back demodulation with 453.
% 243.39/243.46 ** KEPT (pick-wt=20): 619 [copy,458,flip.1] c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,B),tc_bool))=c_Product__Type_OSigma(C,c_COMBK(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool),A),A,B).
% 243.39/243.46 >>>> Starting back demodulation with 461.
% 243.39/243.46 >>>> Starting back demodulation with 464.
% 243.39/243.46 >> back demodulating 295 with 464.
% 243.39/243.46 >> back demodulating 160 with 464.
% 243.39/243.46 >>>> Starting back demodulation with 467.
% 243.39/243.46 468 back subsumes 457.
% 243.39/243.46 ** KEPT (pick-wt=26): 622 [copy,471,flip.1] c_Lattices_Olower__semilattice__class_Oinf(c_Relation_Oconverse(A,B,C),c_Relation_Oconverse(D,B,C),tc_fun(tc_prod(C,B),tc_bool))=c_Relation_Oconverse(c_Lattices_Olower__semilattice__class_Oinf(A,D,tc_fun(tc_prod(B,C),tc_bool)),B,C).
% 243.39/243.46 >>>> Starting back demodulation with 473.
% 243.39/243.46 Following clause subsumed by 474 during input processing: 0 [copy,474,flip.1] 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)).
% 243.39/243.46 Following clause subsumed by 475 during input processing: 0 [copy,475,flip.1] c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D).
% 243.39/243.46 475 back subsumes 435.
% 243.39/243.46 >>>> Starting back demodulation with 478.
% 243.39/243.46 >>>> Starting back demodulation with 480.
% 243.39/243.46 >>>> Starting back demodulation with 483.
% 243.39/243.46 >> back demodulating 98 with 483.
% 243.39/243.46 >> back demodulating 96 with 483.
% 243.39/243.46 >>>> Starting back demodulation with 485.
% 243.39/243.46 >> back demodulating 369 with 485.
% 243.39/243.46 >> back demodulating 368 with 485.
% 243.39/243.46 >> back demodulating 367 with 485.
% 243.39/243.46 >> back demodulating 366 with 485.
% 243.39/243.46 >>>> Starting back demodulation with 487.
% 243.39/243.46 >>>> Starting back demodulation with 493.
% 243.39/243.46 Following clause subsumed by 494 during input processing: 0 [copy,494,flip.1] 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)).
% 243.39/243.46 >>>> Starting back demodulation with 496.
% 243.39/243.46 >>>> Starting back demodulation with 498.
% 243.39/243.46 >>>> Starting back demodulation with 501.
% 243.39/243.46 >> back demodulating 68 with 501.
% 243.39/243.46 >>>> Starting back demodulation with 506.
% 243.39/243.46 >>>> Starting back demodulation with 508.
% 243.39/243.46 >> back demodulating 383 with 508.
% 243.39/243.46 >> back demodulating 382 with 508.
% 243.39/243.46 >> back demodulating 381 with 508.
% 243.39/243.46 >> back demodulating 379 with 508.
% 243.39/243.46 >> back demodulating 378 with 508.
% 243.39/243.46 >> back demodulating 372 with 508.
% 243.39/243.46 >> back demodulating 371 with 508.
% 243.39/243.46 >> back demodulating 365 with 508.
% 243.39/243.46 ** KEPT (pick-wt=14): 631 [copy,510,flip.1] c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool))=c_Relation_OImage(c_Relation_OId__on(A,C),B,C,C).
% 243.39/243.46 ** KEPT (pick-wt=34): 632 [copy,516,flip.1] c_FuncSet_Orestrict(c_COMBI(A),c_Set_Oimage(B,C,D,A),A,A)=c_FuncSet_Ocompose(c_Set_Oimage(B,C,D,A),B,c_FuncSet_Orestrict(c_Hilbert__Choice_Oinv__into(C,B,D,A),c_Set_Oimage(B,C,D,A),A,D),A,D,A).
% 243.39/243.46 >>>> Starting back demodulation with 524.
% 243.39/243.46 >>>> Starting back demodulation with 530.
% 243.39/243.46 >>>> Starting back demodulation with 533.
% 243.39/243.46 534 back subsumes 451.
% 243.39/243.46 >>>> Starting back demodulation with 537.
% 243.39/243.46 >>>> Starting back demodulation with 539.
% 243.39/243.46 >>>> Starting back demodulation with 541.
% 243.39/243.46 >>>> Starting back demodulation with 543.
% 243.39/243.46 >>>> Starting back demodulation with 546.
% 243.39/243.46 548 back subsumes 455.
% 243.39/243.46 >>>> Starting back demodulation with 551.
% 243.39/243.46 >>>> Starting back demodulation with 553.
% 243.39/243.46 >>>> Starting back demodulation with 557.
% 243.39/243.46 >>>> Starting back demodulation with 559.
% 243.39/243.46 >>>> Starting back demodulation with 561.
% 243.39/243.46 >>>> Starting back demodulation with 563.
% 243.39/243.46 >> back demodulating 242 with 563.
% 243.39/243.46 >> back demodulating 241 with 563.
% 243.39/243.46 >>>> Starting back demodulation with 565.
% 243.39/243.46 >>>> Starting back demodulation with 569.
% 243.39/243.46 >>>> Starting back demodulation with 571.
% 243.39/243.46 >>>> Starting back demodulation with 573.
% 243.39/243.46 >>>> Starting back demodulation with 575.
% 243.39/243.46 >>>> Starting back demodulation with 577.
% 243.39/243.46 >> back demodulating 237 with 577.
% 243.39/243.46 >> back demodulating 236 with 577.
% 243.39/243.46 >>>> Starting back demodulation with 579.
% 243.39/243.46 >>>> Starting back demodulation with 582.
% 243.39/243.46 >> back demodulating 562 with 582.
% 243.39/243.46 >> back demodulating 552 with 582.
% 243.39/243.46 >> back demodulating 544 with 582.
% 243.39/243.46 >> back demodulating 542 with 582.
% 243.39/243.46 >> back demodulating 523 with 582.
% 243.39/243.46 >> back demodulating 514 with 582.
% 243.39/243.46 >> back demodulating 460 with 582.
% 243.39/243.46 >> back demodulating 303 with 582.
% 243.39/243.46 >> back demodulating 302 with 582.
% 243.39/243.46 >> back demodulating 286 with 582.
% 243.39/243.46 >> back demodulating 285 with 582.
% 243.39/243.47 >> back demodulating 264 with 582.
% 243.39/243.47 >> back demodulating 250 with 582.
% 243.39/243.47 >> back demodulating 247 with 582.
% 243.39/243.47 >> back demodulating 246 with 582.
% 243.39/243.47 >> back demodulating 240 with 582.
% 243.39/243.47 >> back demodulating 239 with 582.
% 243.39/243.47 >> back demodulating 238 with 582.
% 243.39/243.47 >> back demodulating 235 with 582.
% 243.39/243.47 >> back demodulating 233 with 582.
% 243.39/243.47 >> back demodulating 232 with 582.
% 243.39/243.47 >> back demodulating 231 with 582.
% 243.39/243.47 >> back demodulating 189 with 582.
% 243.39/243.47 >> back demodulating 186 with 582.
% 243.39/243.47 >> back demodulating 139 with 582.
% 243.39/243.47 >> back demodulating 138 with 582.
% 243.39/243.47 >> back demodulating 52 with 582.
% 243.39/243.47 >> back demodulating 50 with 582.
% 243.39/243.47 >> back demodulating 49 with 582.
% 243.39/243.47 >>>> Starting back demodulation with 585.
% 243.39/243.47 >>>> Starting back demodulation with 587.
% 243.39/243.47 588 back subsumes 522.
% 243.39/243.47 592 back subsumes 409.
% 243.39/243.47 >>>> Starting back demodulation with 599.
% 243.39/243.47 Following clause subsumed by 428 during input processing: 0 [copy,610,flip.1] c_Product__Type_OSigma(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,A,C)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,C),tc_bool)).
% 244.64/244.69 >>>> Starting back demodulation with 613.
% 244.64/244.69 Following clause subsumed by 438 during input processing: 0 [copy,616,flip.1] 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)).
% 244.64/244.69 Following clause subsumed by 439 during input processing: 0 [copy,617,flip.1] 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)).
% 244.64/244.69 Following clause subsumed by 443 during input processing: 0 [copy,618,flip.1] 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)).
% 244.64/244.69 Following clause subsumed by 458 during input processing: 0 [copy,619,flip.1] c_Product__Type_OSigma(A,c_COMBK(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool),C),C,B)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(C,B),tc_bool)).
% 244.64/244.69 Following clause subsumed by 471 during input processing: 0 [copy,622,flip.1] c_Relation_Oconverse(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(tc_prod(C,D),tc_bool)),C,D)=c_Lattices_Olower__semilattice__class_Oinf(c_Relation_Oconverse(A,C,D),c_Relation_Oconverse(B,C,D),tc_fun(tc_prod(D,C),tc_bool)).
% 244.64/244.69 Following clause subsumed by 510 during input processing: 0 [copy,631,flip.1] 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)).
% 244.64/244.69 Following clause subsumed by 516 during input processing: 0 [copy,632,flip.1] c_FuncSet_Ocompose(c_Set_Oimage(A,B,C,D),A,c_FuncSet_Orestrict(c_Hilbert__Choice_Oinv__into(B,A,C,D),c_Set_Oimage(A,B,C,D),D,C),D,C,D)=c_FuncSet_Orestrict(c_COMBI(D),c_Set_Oimage(A,B,C,D),D,D).
% 244.64/244.69 >>>> Starting back demodulation with 636.
% 244.64/244.69 >> back demodulating 634 with 636.
% 244.64/244.69 >> back demodulating 633 with 636.
% 244.64/244.69 >>>> Starting back demodulation with 639.
% 244.64/244.69 >>>> Starting back demodulation with 641.
% 244.64/244.69
% 244.64/244.69 ======= end of input processing =======
% 244.64/244.69
% 244.64/244.69 =========== start of search ===========
% 244.64/244.69
% 244.64/244.69
% 244.64/244.69 Resetting weight limit to 2.
% 244.64/244.69
% 244.64/244.69
% 244.64/244.69 Resetting weight limit to 2.
% 244.64/244.69
% 244.64/244.69 sos_size=153
% 244.64/244.69
% 244.64/244.69 Search stopped in tp_alloc by max_mem option.
% 244.64/244.69
% 244.64/244.69 Search stopped in tp_alloc by max_mem option.
% 244.64/244.69
% 244.64/244.69 ============ end of search ============
% 244.64/244.69
% 244.64/244.69 -------------- statistics -------------
% 244.64/244.69 clauses given 104
% 244.64/244.69 clauses generated 56622
% 244.64/244.69 clauses kept 582
% 244.64/244.69 clauses forward subsumed 158
% 244.64/244.69 clauses back subsumed 36
% 244.64/244.69 Kbytes malloced 11718
% 244.64/244.69
% 244.64/244.69 ----------- times (seconds) -----------
% 244.64/244.69 user CPU time 1.27 (0 hr, 0 min, 1 sec)
% 244.64/244.69 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 244.64/244.69 wall-clock time 244 (0 hr, 4 min, 4 sec)
% 244.64/244.69
% 244.64/244.69 Process 3071 finished Wed Jul 27 09:16:33 2022
% 244.64/244.69 Otter interrupted
% 244.64/244.69 PROOF NOT FOUND
%------------------------------------------------------------------------------