TSTP Solution File: SCT073-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SCT073-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Jul 27 13:12:28 EDT 2022
% Result : Unknown 213.62s 213.73s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SCT073-1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 08:58:09 EDT 2022
% 0.12/0.33 % CPUTime :
% 213.01/213.12 ----- Otter 3.3f, August 2004 -----
% 213.01/213.12 The process was started by sandbox2 on n010.cluster.edu,
% 213.01/213.12 Wed Jul 27 08:58:10 2022
% 213.01/213.12 The command was "./otter". The process ID is 32050.
% 213.01/213.12
% 213.01/213.12 set(prolog_style_variables).
% 213.01/213.12 set(auto).
% 213.01/213.12 dependent: set(auto1).
% 213.01/213.12 dependent: set(process_input).
% 213.01/213.12 dependent: clear(print_kept).
% 213.01/213.12 dependent: clear(print_new_demod).
% 213.01/213.12 dependent: clear(print_back_demod).
% 213.01/213.12 dependent: clear(print_back_sub).
% 213.01/213.12 dependent: set(control_memory).
% 213.01/213.12 dependent: assign(max_mem, 12000).
% 213.01/213.12 dependent: assign(pick_given_ratio, 4).
% 213.01/213.12 dependent: assign(stats_level, 1).
% 213.01/213.12 dependent: assign(max_seconds, 10800).
% 213.01/213.12 clear(print_given).
% 213.01/213.12
% 213.01/213.12 list(usable).
% 213.01/213.12 0 [] A=A.
% 213.01/213.12 0 [] c_Relation_Otrans(c_Transitive__Closure_Otrancl(V_r,T_a),T_a).
% 213.01/213.12 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a)=V_x.
% 213.01/213.12 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool))=V_A.
% 213.01/213.12 0 [] -class_Lattices_Odistrib__lattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_z,V_x,T_a),T_a).
% 213.01/213.12 0 [] -class_Lattices_Odistrib__lattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a).
% 213.01/213.12 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 213.01/213.12 0 [] c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_B,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 213.01/213.12 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)).
% 213.01/213.12 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)).
% 213.01/213.12 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).
% 213.01/213.12 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)).
% 213.01/213.12 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)).
% 213.01/213.12 0 [] c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(V_R,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)=c_Transitive__Closure_Ortrancl(V_R,T_a).
% 213.01/213.12 0 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(V_R,T_a),c_Transitive__Closure_Ortrancl(V_S,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 213.01/213.12 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(V_a,V_A,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_a,c_Complete__Lattice_OInf__class_OInf(V_A,T_a),T_a).
% 213.01/213.12 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool))=c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),T_a).
% 213.01/213.12 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool))=c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a).
% 213.01/213.12 0 [] c_Relation_Otrans(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a).
% 213.01/213.12 0 [] c_Relation_Otrans(V_r,T_a)| -c_Relation_Otrans(c_Relation_Oconverse(V_r,T_a,T_a),T_a).
% 213.01/213.12 0 [] c_Relation_Otrans(c_Relation_Oconverse(V_r,T_a,T_a),T_a)| -c_Relation_Otrans(V_r,T_a).
% 213.01/213.12 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(V_a,V_A,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_a,c_Complete__Lattice_OSup__class_OSup(V_A,T_a),T_a).
% 213.01/213.12 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).
% 213.01/213.12 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).
% 213.01/213.12 0 [] hBOOL(hAPP(V_A,V_x))|V_y=V_x| -hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)).
% 213.01/213.12 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).
% 213.01/213.12 0 [] c_Relation_Osym(c_Lattices_Oupper__semilattice__class_Osup(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)| -c_Relation_Osym(V_s,T_a)| -c_Relation_Osym(V_r,T_a).
% 213.01/213.12 0 [] c_Relation_OImage(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_b,T_a),tc_bool)),V_A,T_b,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OImage(V_R,V_A,T_b,T_a),c_Relation_OImage(V_S,V_A,T_b,T_a),tc_fun(T_a,tc_bool)).
% 213.01/213.12 0 [] c_Relation_OImage(V_R,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OImage(V_R,V_A,T_b,T_a),c_Relation_OImage(V_R,V_B,T_b,T_a),tc_fun(T_a,tc_bool)).
% 213.01/213.12 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).
% 213.01/213.12 0 [] c_in(V_x,c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a),tc_prod(T_a,T_a))| -c_in(V_x,c_Transitive__Closure_Ortrancl(V_S,T_a),tc_prod(T_a,T_a)).
% 213.01/213.12 0 [] c_in(V_x,c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a),tc_prod(T_a,T_a))| -c_in(V_x,c_Transitive__Closure_Ortrancl(V_R,T_a),tc_prod(T_a,T_a)).
% 213.01/213.12 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 213.01/213.12 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 213.01/213.12 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a).
% 213.01/213.12 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a).
% 213.01/213.12 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a).
% 213.01/213.12 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a).
% 213.01/213.12 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(V_R,T_a),c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))=c_Transitive__Closure_Ortrancl(V_R,T_a).
% 213.01/213.12 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)).
% 213.01/213.12 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)).
% 213.01/213.12 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).
% 213.01/213.12 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).
% 213.01/213.12 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).
% 213.01/213.12 0 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)).
% 213.01/213.12 0 [] c_lesse_quals(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 213.01/213.12 0 [] c_lesse_quals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 213.01/213.12 0 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)).
% 213.01/213.12 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a)| -c_lesse_quals(V_b,V_x,T_a)| -c_lesse_quals(V_a,V_x,T_a).
% 213.01/213.12 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a).
% 213.01/213.12 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a).
% 213.01/213.12 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a)| -c_lesse_quals(V_z,V_x,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 213.01/213.12 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)| -c_lesse_quals(V_y,V_z,T_a)| -c_lesse_quals(V_x,V_z,T_a).
% 213.01/213.12 0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a).
% 213.01/213.12 0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a).
% 213.01/213.12 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)).
% 213.01/213.12 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).
% 213.01/213.12 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).
% 213.01/213.12 0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a),T_a).
% 213.01/213.12 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 213.01/213.12 0 [] c_Relation_OField(c_Relation_Oconverse(V_r,T_a,T_a),T_a)=c_Relation_OField(V_r,T_a).
% 213.01/213.12 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)).
% 213.01/213.12 0 [] c_Product__Type_OSigma(c_Lattices_Oupper__semilattice__class_Osup(V_I,V_J,tc_fun(T_a,tc_bool)),V_C,T_a,T_b)=c_Lattices_Oupper__semilattice__class_Osup(c_Product__Type_OSigma(V_I,V_C,T_a,T_b),c_Product__Type_OSigma(V_J,V_C,T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 213.01/213.12 0 [] hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))| -hBOOL(hAPP(V_A,V_x)).
% 213.01/213.12 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).
% 213.01/213.12 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).
% 213.01/213.12 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)).
% 213.01/213.12 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).
% 213.01/213.12 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).
% 213.01/213.12 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)).
% 213.01/213.12 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).
% 213.01/213.12 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).
% 213.01/213.12 0 [] c_Relation_Orel__comp(c_Lattices_Oupper__semilattice__class_Osup(V_S,V_T,tc_fun(tc_prod(T_a,T_c),tc_bool)),V_R,T_a,T_c,T_b)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(V_S,V_R,T_a,T_c,T_b),c_Relation_Orel__comp(V_T,V_R,T_a,T_c,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 213.01/213.12 0 [] c_Relation_Orel__comp(V_R,c_Lattices_Oupper__semilattice__class_Osup(V_S,V_T,tc_fun(tc_prod(T_c,T_b),tc_bool)),T_a,T_c,T_b)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(V_R,V_S,T_a,T_c,T_b),c_Relation_Orel__comp(V_R,V_T,T_a,T_c,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 213.01/213.12 0 [] c_Relation_Otrans(c_Relation_OId__on(V_A,T_a),T_a).
% 213.01/213.12 0 [] c_Relation_OField(c_Lattices_Oupper__semilattice__class_Osup(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OField(V_r,T_a),c_Relation_OField(V_s,T_a),tc_fun(T_a,tc_bool)).
% 213.01/213.12 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)).
% 213.01/213.12 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)).
% 213.01/213.12 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).
% 213.01/213.12 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).
% 213.01/213.12 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).
% 213.01/213.12 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).
% 213.01/213.12 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).
% 213.01/213.12 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).
% 213.01/213.12 0 [] c_Relation_OField(v_r,t_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(v_r,t_a,t_a),c_Relation_ORange(v_r,t_a,t_a),tc_fun(t_a,tc_bool)).
% 213.01/213.12 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)).
% 213.01/213.12 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a).
% 213.01/213.12 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a).
% 213.01/213.12 0 [] c_Relation_ODomain(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(tc_prod(T_a,T_b),tc_bool)),T_a,T_b)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(V_A,T_a,T_b),c_Relation_ODomain(V_B,T_a,T_b),tc_fun(T_a,tc_bool)).
% 213.01/213.12 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)).
% 213.01/213.12 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a).
% 213.01/213.12 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a).
% 213.01/213.12 0 [] -class_Finite__Set_Ofinite_Ofinite(T_a)|c_Finite__Set_Ofinite(V_A,T_a).
% 213.01/213.12 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)).
% 213.01/213.12 0 [] c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(V_R,T_a),c_Transitive__Closure_Ortrancl(V_S,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)=c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a).
% 213.01/213.12 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)).
% 213.01/213.12 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)).
% 213.01/213.12 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).
% 213.01/213.12 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).
% 213.01/213.12 0 [] c_Transitive__Closure_Otrancl(V_r,T_a)=V_r| -c_Relation_Otrans(V_r,T_a).
% 213.01/213.12 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).
% 213.01/213.12 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).
% 213.01/213.12 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).
% 213.01/213.12 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).
% 213.01/213.12 0 [] c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a)| -c_in(V_a,V_A,T_a).
% 213.01/213.12 0 [] c_in(V_a,c_Set_Oinsert(V_b,V_B,T_a),T_a)| -c_in(V_a,V_B,T_a).
% 213.01/213.12 0 [] c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -c_in(V_c,V_A,T_a).
% 213.01/213.12 0 [] c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -c_in(V_c,V_B,T_a).
% 213.01/213.12 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).
% 213.01/213.12 0 [] c_in(V_c,V_B,T_a)|c_in(V_c,V_A,T_a)| -c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a).
% 213.01/213.12 0 [] c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a).
% 213.01/213.12 0 [] c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a).
% 213.01/213.12 0 [] c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a).
% 213.01/213.12 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).
% 213.01/213.12 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).
% 213.01/213.12 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.
% 213.01/213.12 0 [] c_Set_Oinsert(V_a,V_A,T_a)=V_A| -c_in(V_a,V_A,T_a).
% 213.01/213.12 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).
% 213.01/213.12 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).
% 213.01/213.12 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).
% 213.01/213.12 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).
% 213.01/213.12 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)).
% 213.01/213.12 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)).
% 213.01/213.12 0 [] c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)| -c_lesse_quals(c_Relation_Orel__comp(V_R,V_S,T_a,T_a,T_a),V_R,tc_fun(tc_prod(T_a,T_a),tc_bool))| -c_Wellfounded_Owf(V_S,T_a)| -c_Wellfounded_Owf(V_R,T_a).
% 213.01/213.12 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)).
% 213.01/213.12 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otrancl(V_r,T_a),c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))=c_Transitive__Closure_Ortrancl(V_r,T_a).
% 213.01/213.12 0 [] c_Transitive__Closure_Otrancl(c_Lattices_Oupper__semilattice__class_Osup(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)=c_Transitive__Closure_Ortrancl(V_r,T_a).
% 213.01/213.12 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)).
% 213.01/213.12 0 [] c_lesse_quals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)).
% 213.01/213.12 0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a).
% 213.01/213.12 0 [] c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a)| -c_Finite__Set_Ofinite(V_A,T_a).
% 213.01/213.12 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).
% 213.01/213.12 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)).
% 213.01/213.12 0 [] c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_G,T_a)| -c_Finite__Set_Ofinite(V_F,T_a).
% 213.01/213.12 0 [] c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_G,T_a)| -c_Finite__Set_Ofinite(V_F,T_a).
% 213.01/213.12 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)).
% 213.01/213.12 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))!=c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))|c_lesse_quals(V_C,V_A,tc_fun(T_a,tc_bool)).
% 213.01/213.12 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,V_A,tc_fun(T_a,tc_bool)).
% 213.01/213.12 0 [] c_Relation_Otrans(c_Lattices_Oupper__semilattice__class_Osup(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)| -c_Relation_Otrans(V_r,T_a).
% 213.01/213.12 0 [] hBOOL(hAPP(V_B,V_x))|hBOOL(hAPP(V_A,V_x))| -hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)).
% 213.01/213.12 0 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))| -hBOOL(hAPP(V_B,V_x)).
% 213.01/213.12 0 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))| -hBOOL(hAPP(V_A,V_x)).
% 213.01/213.12 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)).
% 213.01/213.12 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).
% 213.01/213.12 0 [] c_Relation_Orefl__on(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)| -c_Relation_Orefl__on(V_B,V_s,T_a)| -c_Relation_Orefl__on(V_A,V_r,T_a).
% 213.01/213.12 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).
% 213.01/213.12 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).
% 213.01/213.12 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).
% 213.01/213.12 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).
% 213.01/213.12 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)).
% 213.01/213.12 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)).
% 213.01/213.12 0 [] c_Finite__Set_Ofinite(V_F,T_a)| -c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a).
% 213.01/213.12 0 [] c_Finite__Set_Ofinite(V_G,T_a)| -c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a).
% 213.01/213.12 0 [] c_Relation_Otrans(c_Relation_OId(T_a),T_a).
% 213.01/213.12 0 [] c_Product__Type_OSigma(c_Set_Oinsert(V_a,V_A,T_a),c_COMBK(c_Set_Oinsert(V_b,V_B,T_b),tc_fun(T_b,tc_bool),T_a),T_a,T_b)=c_Set_Oinsert(c_Pair(V_a,V_b,T_a,T_b),c_Lattices_Oupper__semilattice__class_Osup(c_Product__Type_OSigma(V_A,c_COMBK(c_Set_Oinsert(V_b,V_B,T_b),tc_fun(T_b,tc_bool),T_a),T_a,T_b),c_Product__Type_OSigma(c_Set_Oinsert(V_a,V_A,T_a),c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)),tc_prod(T_a,T_b)).
% 213.01/213.12 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).
% 213.01/213.12 0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a),T_a).
% 213.01/213.12 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a)=V_x.
% 213.01/213.12 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a)=V_x.
% 213.01/213.12 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)=V_x| -c_lesse_quals(V_y,V_x,T_a).
% 213.01/213.12 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)!=V_y|c_lesse_quals(V_x,V_y,T_a).
% 213.01/213.12 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)=V_y| -c_lesse_quals(V_x,V_y,T_a).
% 213.01/213.12 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))=V_B| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 213.01/213.12 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))=V_A| -c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool)).
% 213.01/213.12 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))!=V_B|c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 213.01/213.12 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).
% 213.01/213.12 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).
% 213.01/213.12 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).
% 213.01/213.12 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).
% 213.01/213.12 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).
% 213.01/213.12 0 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_D,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)).
% 213.01/213.12 0 [] c_Relation_Oconverse(c_Lattices_Oupper__semilattice__class_Osup(V_r,V_s,tc_fun(tc_prod(T_b,T_a),tc_bool)),T_b,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Oconverse(V_r,T_b,T_a),c_Relation_Oconverse(V_s,T_b,T_a),tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 213.01/213.12 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).
% 213.01/213.12 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).
% 213.01/213.12 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).
% 213.01/213.12 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).
% 213.01/213.12 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).
% 213.01/213.12 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).
% 213.01/213.12 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).
% 213.01/213.12 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)).
% 213.01/213.12 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)).
% 213.01/213.12 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)).
% 213.01/213.12 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)).
% 213.01/213.12 0 [] c_Product__Type_OSigma(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_COMBK(V_C,tc_fun(T_b,tc_bool),T_a),T_a,T_b)=c_Lattices_Oupper__semilattice__class_Osup(c_Product__Type_OSigma(V_A,c_COMBK(V_C,tc_fun(T_b,tc_bool),T_a),T_a,T_b),c_Product__Type_OSigma(V_B,c_COMBK(V_C,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)).
% 213.01/213.12 0 [] -class_Lattices_Odistrib__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),V_x,T_a)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_z,V_x,T_a),T_a).
% 213.01/213.12 0 [] -class_Lattices_Odistrib__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a).
% 213.01/213.12 0 [] c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 213.01/213.12 0 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 213.01/213.12 0 [] hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)).
% 213.01/213.12 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).
% 213.01/213.12 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).
% 213.01/213.12 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).
% 213.01/213.12 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)).
% 213.01/213.12 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)).
% 213.01/213.12 0 [] c_Relation_ORange(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(tc_prod(T_b,T_a),tc_bool)),T_b,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ORange(V_A,T_b,T_a),c_Relation_ORange(V_B,T_b,T_a),tc_fun(T_a,tc_bool)).
% 213.01/213.12 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).
% 213.01/213.12 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).
% 213.01/213.12 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_x,T_a)=V_x.
% 213.01/213.12 0 [] c_Lattices_Olower__semilattice__class_Oinf(V_A,V_A,tc_fun(T_a,tc_bool))=V_A.
% 213.01/213.12 0 [] c_Relation_OField(V_r,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(V_r,T_a,T_a),c_Relation_ORange(V_r,T_a,T_a),tc_fun(T_a,tc_bool)).
% 213.01/213.12 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_y,V_z,T_a)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a).
% 213.01/213.12 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a).
% 213.01/213.12 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)| -c_lesse_quals(V_x,V_b,T_a).
% 213.01/213.12 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)| -c_lesse_quals(V_x,V_a,T_a).
% 213.01/213.12 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_b,V_x,T_a)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a).
% 213.01/213.12 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_a,V_x,T_a)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a).
% 213.01/213.12 0 [] c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)).
% 213.01/213.12 0 [] c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)).
% 213.01/213.12 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)).
% 213.01/213.12 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).
% 213.01/213.12 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)).
% 213.01/213.12 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)).
% 213.01/213.12 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)).
% 213.01/213.12 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)).
% 213.01/213.12 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)).
% 213.01/213.12 0 [] c_Relation_Otrans(V_r,T_a)| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a).
% 213.01/213.12 0 [] c_Set_Oimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)).
% 213.01/213.12 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).
% 213.01/213.12 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).
% 213.01/213.12 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).
% 213.01/213.12 0 [] c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(V_R,V_R,T_a,T_a,T_a),c_Relation_Orel__comp(V_S,V_R,T_a,T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)| -c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a).
% 213.01/213.12 0 [] c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)| -c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(V_R,V_R,T_a,T_a,T_a),c_Relation_Orel__comp(V_S,V_R,T_a,T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a).
% 213.01/213.12 0 [] c_Transitive__Closure_Otrancl(V_r,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_r,c_Relation_Orel__comp(c_Transitive__Closure_Otrancl(V_r,T_a),V_r,T_a,T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 213.01/213.12 0 [] c_Finite__Set_Ofinite(c_Complete__Lattice_OInf__class_OInf(V_M,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_x,T_a)| -c_in(V_x,V_M,tc_fun(T_a,tc_bool)).
% 213.01/213.12 0 [] c_Relation_Osym(c_Lattices_Oupper__semilattice__class_Osup(V_r,c_Relation_Oconverse(V_r,T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a).
% 213.01/213.12 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).
% 213.01/213.12 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)).
% 213.01/213.12 0 [] c_Transitive__Closure_Ortrancl(V_r,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otrancl(V_r,T_a),c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 213.01/213.12 0 [] c_Transitive__Closure_Ortrancl(V_r,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OId(T_a),c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(V_r,T_a),V_r,T_a,T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)).
% 213.01/213.12 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).
% 213.01/213.12 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).
% 213.01/213.12 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)).
% 213.01/213.12 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)).
% 213.01/213.12 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).
% 213.01/213.12 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).
% 213.01/213.12 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)).
% 213.01/213.12 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)).
% 213.01/213.12 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)).
% 213.01/213.12 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).
% 213.01/213.12 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)).
% 213.01/213.12 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)).
% 213.01/213.12 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)).
% 213.01/213.12 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)).
% 213.01/213.12 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).
% 213.01/213.12 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)).
% 213.01/213.12 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)).
% 213.01/213.12 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)).
% 213.01/213.12 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)).
% 213.01/213.12 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.
% 213.01/213.12 0 [] c_in(c_Pair(V_x,c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1(V_r,V_x,V_z,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a))|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_x,V_z,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)).
% 213.01/213.12 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)).
% 213.01/213.12 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)).
% 213.01/213.12 0 [] c_lesse_quals(c_Complete__Lattice_OInf__class_OInf(V_A,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))| -c_in(V_B,V_A,tc_fun(T_a,tc_bool)).
% 213.01/213.12 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).
% 213.01/213.12 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).
% 213.01/213.12 0 [] c_in(V_A,c_Complete__Lattice_OInf__class_OInf(V_C,tc_fun(T_a,tc_bool)),T_a)| -c_in(V_A,c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1(V_A,V_C,T_a),T_a).
% 213.01/213.12 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).
% 213.01/213.12 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).
% 213.01/213.12 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).
% 213.01/213.12 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).
% 213.01/213.12 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).
% 213.01/213.12 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).
% 213.01/213.12 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).
% 213.01/213.12 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).
% 213.01/213.12 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_lesse_quals(c_Complete__Lattice_OInf__class_OInf(V_A,T_a),V_x,T_a)| -c_in(V_x,V_A,T_a).
% 213.01/213.12 0 [] c_lesse_quals(V_B,c_Complete__Lattice_OSup__class_OSup(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))| -c_in(V_B,V_A,tc_fun(T_a,tc_bool)).
% 213.01/213.12 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)).
% 213.01/213.12 0 [] c_in(c_ATP__Linkup_Osko__Relation__XImage__iff__1__1(V_A,V_b,V_r,T_b,T_a),V_A,T_b)| -c_in(V_b,c_Relation_OImage(V_r,V_A,T_b,T_a),T_a).
% 213.01/213.12 0 [] c_in(c_ATP__Linkup_Osko__Relation__XImageE__1__1(V_A,V_b,V_r,T_b,T_a),V_A,T_b)| -c_in(V_b,c_Relation_OImage(V_r,V_A,T_b,T_a),T_a).
% 213.01/213.12 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.
% 213.01/213.12 0 [] c_in(c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1(V_Q,V_R,T_a),V_Q,T_a)| -c_in(V_x,V_Q,T_a)| -c_Wellfounded_Owf(V_R,T_a).
% 213.01/213.12 0 [] c_in(c_ATP__Linkup_Osko__Wellfounded__Xwf__e_q__minimal__1__1(V_Q,V_r,T_a),V_Q,T_a)| -c_in(V_xa,V_Q,T_a)| -c_Wellfounded_Owf(V_r,T_a).
% 213.01/213.12 0 [] c_in(V_A,c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1(V_A,V_C,T_a),T_a)| -c_in(V_A,c_Complete__Lattice_OSup__class_OSup(V_C,tc_fun(T_a,tc_bool)),T_a).
% 213.01/213.12 0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_lesse_quals(V_x,c_Complete__Lattice_OSup__class_OSup(V_A,T_a),T_a)| -c_in(V_x,V_A,T_a).
% 213.01/213.12 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)).
% 213.01/213.12 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)).
% 213.01/213.12 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)).
% 213.01/213.12 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)).
% 213.01/213.12 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)).
% 213.01/213.12 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)).
% 213.01/213.12 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_y,V_x,T_a)|c_lesse_quals(V_x,V_y,T_a).
% 213.01/213.12 0 [] c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a)=c_Transitive__Closure_Ortrancl(V_r,T_a).
% 213.01/213.12 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).
% 213.01/213.12 0 [] c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Otrancl(V_R,T_a),T_a)=c_Transitive__Closure_Ortrancl(V_R,T_a).
% 213.01/213.12 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)).
% 213.01/213.12 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)).
% 213.01/213.12 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)).
% 213.01/213.12 0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 213.01/213.12 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 213.01/213.12 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).
% 213.01/213.12 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)).
% 213.01/213.12 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)).
% 213.01/213.12 0 [] c_lesse_quals(V_A,V_A,tc_fun(T_a,tc_bool)).
% 213.01/213.12 0 [] c_lesse_quals(V_x,V_x,tc_fun(T_a,tc_bool)).
% 213.01/213.12 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).
% 213.01/213.12 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).
% 213.01/213.12 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).
% 213.01/213.12 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)).
% 213.01/213.12 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)).
% 213.01/213.12 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).
% 213.01/213.12 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).
% 213.01/213.12 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).
% 213.01/213.12 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)).
% 213.01/213.12 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)).
% 213.01/213.12 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).
% 213.01/213.12 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)).
% 213.01/213.12 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)).
% 213.01/213.12 0 [] c_Transitive__Closure_Otrancl(c_Transitive__Closure_Ortrancl(V_R,T_a),T_a)=c_Transitive__Closure_Ortrancl(V_R,T_a).
% 213.01/213.12 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).
% 213.01/213.12 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).
% 213.01/213.12 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).
% 213.01/213.12 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)).
% 213.01/213.12 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).
% 213.01/213.12 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)).
% 213.01/213.12 0 [] hAPP(c_COMBK(V_P,T_a,T_b),V_Q)=V_P.
% 213.01/213.12 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)).
% 213.01/213.12 0 [] c_Relation_Osym(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a)| -c_Relation_Osym(V_r,T_a).
% 213.01/213.12 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)).
% 213.01/213.12 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)).
% 213.01/213.13 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)).
% 213.01/213.13 0 [] hAPP(V_f,c_List_Osko__Recdef__Xcuts__e_q__1__1(V_f,V_g,V_r,V_x,T_a,T_b))!=hAPP(V_g,c_List_Osko__Recdef__Xcuts__e_q__1__1(V_f,V_g,V_r,V_x,T_a,T_b))|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).
% 213.01/213.13 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)).
% 213.01/213.13 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)).
% 213.01/213.13 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).
% 213.01/213.13 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)).
% 213.01/213.13 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)).
% 213.01/213.13 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)).
% 213.01/213.13 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)).
% 213.01/213.13 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)).
% 213.01/213.13 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)).
% 213.01/213.13 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)).
% 213.01/213.13 0 [] c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1(V_r,V_x,V_z,T_a),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_z,T_a,T_a),V_r,tc_prod(T_a,T_a))| -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)).
% 213.01/213.13 0 [] -c_in(c_Pair(V_x,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a))|c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1(V_r,T_a),c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1(V_r,T_a),T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)).
% 213.01/213.13 0 [] c_in(c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1(V_A,V_C,T_a),V_C,tc_fun(T_a,tc_bool))| -c_in(V_A,c_Complete__Lattice_OSup__class_OSup(V_C,tc_fun(T_a,tc_bool)),T_a).
% 213.01/213.13 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)).
% 213.01/213.13 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)).
% 213.01/213.13 0 [] c_in(c_Pair(V_a,c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1(V_a,V_c,V_r,V_s,T_a,T_b,T_c),T_a,T_c),V_r,tc_prod(T_a,T_c))| -c_in(c_Pair(V_a,V_c,T_a,T_b),c_Relation_Orel__comp(V_r,V_s,T_a,T_c,T_b),tc_prod(T_a,T_b)).
% 213.01/213.13 0 [] c_in(c_Pair(c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1(V_a,V_c,V_r,V_s,T_a,T_b,T_c),V_c,T_c,T_b),V_s,tc_prod(T_c,T_b))| -c_in(c_Pair(V_a,V_c,T_a,T_b),c_Relation_Orel__comp(V_r,V_s,T_a,T_c,T_b),tc_prod(T_a,T_b)).
% 213.01/213.13 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).
% 213.01/213.13 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)).
% 213.01/213.13 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).
% 213.01/213.13 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).
% 213.01/213.13 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).
% 213.01/213.13 0 [] c_in(c_List_Osko__Equiv__Relations__XquotientE__1__1(V_A,V_X,V_r,T_a),V_A,T_a)| -c_in(V_X,c_Equiv__Relations_Oquotient(V_A,V_r,T_a),tc_fun(T_a,tc_bool)).
% 213.01/213.13 0 [] V_p=c_Pair(c_ATP__Linkup_Osko__Relation__XIdE__1__1(V_p,T_a),c_ATP__Linkup_Osko__Relation__XIdE__1__1(V_p,T_a),T_a,T_a)| -c_in(V_p,c_Relation_OId(T_a),tc_prod(T_a,T_a)).
% 213.01/213.13 0 [] c_in(V_A,c_Complete__Lattice_OInf__class_OInf(V_C,tc_fun(T_a,tc_bool)),T_a)|c_in(c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1(V_A,V_C,T_a),V_C,tc_fun(T_a,tc_bool)).
% 213.01/213.13 0 [] c_Wellfounded_Owf(V_r,T_a)| -c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1(V_r,T_a),c_Wellfounded_Oacc(V_r,T_a),T_a).
% 213.01/213.13 0 [] c_Wellfounded_Owf(V_r,T_a)| -c_in(c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1(V_r,T_a),c_Wellfounded_Oacc(V_r,T_a),T_a).
% 213.01/213.13 0 [] c_in(c_ATP__Linkup_Osko__Relation__XId__onE__1__1(V_A,V_c,T_a),V_A,T_a)| -c_in(V_c,c_Relation_OId__on(V_A,T_a),tc_prod(T_a,T_a)).
% 213.01/213.13 0 [] V_c=c_Pair(c_ATP__Linkup_Osko__Relation__XId__onE__1__1(V_A,V_c,T_a),c_ATP__Linkup_Osko__Relation__XId__onE__1__1(V_A,V_c,T_a),T_a,T_a)| -c_in(V_c,c_Relation_OId__on(V_A,T_a),tc_prod(T_a,T_a)).
% 213.01/213.13 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)|c_in(c_Pair(c_List_Osko__Recdef__Xcuts__e_q__1__1(V_f,V_g,V_r,V_x,T_a,T_b),V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)).
% 213.01/213.13 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).
% 213.01/213.13 0 [] c_Relation_ORange(v_r,t_a,t_b)=c_Relation_ODomain(c_Relation_Oconverse(v_r,t_a,t_b),t_b,t_a).
% 213.01/213.13 0 [] c_Nitpick_Orefl_H(V_r,T_a)| -c_in(c_Pair(c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1(V_r,T_a),c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1(V_r,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a)).
% 213.01/213.13 0 [] -c_in(V_y,V_Q,T_a)| -c_in(c_Pair(V_y,c_ATP__Linkup_Osko__Wellfounded__Xwf__e_q__minimal__1__1(V_Q,V_r,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_in(V_xa,V_Q,T_a)| -c_Wellfounded_Owf(V_r,T_a).
% 213.01/213.13 0 [] -c_in(V_y,V_Q,T_a)| -c_in(c_Pair(V_y,c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1(V_Q,V_R,T_a),T_a,T_a),V_R,tc_prod(T_a,T_a))| -c_in(V_x,V_Q,T_a)| -c_Wellfounded_Owf(V_R,T_a).
% 213.01/213.13 0 [] c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XImage__iff__1__1(V_A,V_b,V_r,T_b,T_a),V_b,T_b,T_a),V_r,tc_prod(T_b,T_a))| -c_in(V_b,c_Relation_OImage(V_r,V_A,T_b,T_a),T_a).
% 213.01/213.13 0 [] c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XImageE__1__1(V_A,V_b,V_r,T_b,T_a),V_b,T_b,T_a),V_r,tc_prod(T_b,T_a))| -c_in(V_b,c_Relation_OImage(V_r,V_A,T_b,T_a),T_a).
% 213.01/213.13 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).
% 213.01/213.13 0 [] c_in(c_Pair(V_a,c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1(V_a,V_r,T_a,T_b),T_a,T_b),V_r,tc_prod(T_a,T_b))| -c_in(V_a,c_Relation_ODomain(V_r,T_a,T_b),T_a).
% 213.01/213.13 0 [] c_in(c_Pair(V_a,c_ATP__Linkup_Osko__Relation__XDomainE__1__1(V_a,V_r,T_a,T_b),T_a,T_b),V_r,tc_prod(T_a,T_b))| -c_in(V_a,c_Relation_ODomain(V_r,T_a,T_b),T_a).
% 213.01/213.13 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)).
% 213.01/213.13 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).
% 213.01/213.13 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).
% 213.01/213.13 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).
% 213.01/213.13 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).
% 213.01/213.13 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).
% 213.01/213.13 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)).
% 213.01/213.13 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)).
% 213.01/213.13 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).
% 213.01/213.13 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).
% 213.01/213.13 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).
% 213.01/213.13 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).
% 213.01/213.13 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).
% 213.01/213.13 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).
% 213.01/213.13 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)).
% 213.01/213.13 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)).
% 213.01/213.13 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)).
% 213.01/213.13 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)).
% 213.01/213.13 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)).
% 213.01/213.13 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)).
% 213.01/213.13 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)).
% 213.01/213.13 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)).
% 213.01/213.13 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)).
% 213.01/213.13 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)).
% 213.01/213.13 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)).
% 213.01/213.13 0 [] c_in(V_x,c_Wellfounded_Oacc(V_r,T_a),T_a)| -c_Wellfounded_Owf(V_r,T_a).
% 213.01/213.13 0 [] c_Relation_Osym(c_Transitive__Closure_Otrancl(V_r,T_a),T_a)| -c_Relation_Osym(V_r,T_a).
% 213.01/213.13 0 [] c_Relation_Osym(V_r,T_a)| -c_Relation_Osym(c_Relation_Oconverse(V_r,T_a,T_a),T_a).
% 213.01/213.13 0 [] c_Relation_Osym(c_Relation_Oconverse(V_r,T_a,T_a),T_a)| -c_Relation_Osym(V_r,T_a).
% 213.01/213.13 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).
% 213.01/213.13 0 [] c_Relation_Osym(c_Relation_OId(T_a),T_a).
% 213.01/213.13 0 [] c_Relation_Orel__comp(c_Relation_OId(T_a),V_R,T_a,T_a,T_b)=V_R.
% 213.01/213.13 0 [] c_Relation_Orel__comp(V_R,c_Relation_OId(T_b),T_a,T_b,T_b)=V_R.
% 213.01/213.13 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).
% 213.01/213.13 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).
% 213.01/213.13 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).
% 213.01/213.13 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).
% 213.01/213.13 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).
% 213.01/213.13 0 [] c_Relation_OImage(c_Relation_OId(T_a),V_A,T_a,T_a)=V_A.
% 213.01/213.13 0 [] c_Relation_ODomain(c_Relation_OId__on(V_A,T_a),T_a,T_a)=V_A.
% 213.01/213.13 0 [] c_Relation_Oconverse(V_r,T_a,T_a)=V_r| -c_Relation_Osym(V_r,T_a).
% 213.01/213.13 0 [] c_Relation_Oconverse(V_r,T_a,T_a)!=V_r|c_Relation_Osym(V_r,T_a).
% 213.01/213.13 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).
% 213.01/213.13 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).
% 213.01/213.13 0 [] c_Relation_Osym(c_Relation_OId__on(V_A,T_a),T_a).
% 213.01/213.13 0 [] c_Relation_Orefl__on(V_A,c_Relation_OId__on(V_A,T_a),T_a).
% 213.01/213.13 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).
% 213.01/213.13 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).
% 213.01/213.13 0 [] c_Relation_Oconverse(c_Relation_OId(T_a),T_a,T_a)=c_Relation_OId(T_a).
% 213.01/213.13 0 [] c_Wellfounded_Owf(c_Transitive__Closure_Otrancl(V_r,T_a),T_a)| -c_Wellfounded_Owf(V_r,T_a).
% 213.01/213.13 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).
% 213.01/213.13 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).
% 213.01/213.13 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).
% 213.01/213.13 0 [] c_Relation_Oconverse(c_Relation_OId__on(V_A,T_a),T_a,T_a)=c_Relation_OId__on(V_A,T_a).
% 213.01/213.13 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).
% 213.01/213.13 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).
% 213.01/213.13 0 [] c_Relation_ORange(c_Relation_OId__on(V_A,T_a),T_a,T_a)=V_A.
% 213.01/213.13 0 [] c_Relation_Oconverse(c_Relation_Oconverse(V_r,T_a,T_b),T_b,T_a)=V_r.
% 213.01/213.13 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).
% 213.01/213.13 0 [] c_Relation_Orefl__on(V_A,V_r,T_a)| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a).
% 213.01/213.13 0 [] c_Complete__Lattice_OSup__class_OSup(c_Equiv__Relations_Oquotient(V_A,V_r,T_a),tc_fun(T_a,tc_bool))=V_A| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a).
% 213.01/213.13 0 [] c_Relation_Osym(V_r,T_a)| -c_Equiv__Relations_Oe_quiv(V_A,V_r,T_a).
% 213.01/213.13 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).
% 213.01/213.13 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).
% 213.01/213.13 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).
% 213.01/213.13 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).
% 213.01/213.13 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)).
% 213.01/213.13 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)).
% 213.01/213.13 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)).
% 213.01/213.13 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).
% 213.01/213.13 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).
% 213.01/213.13 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)).
% 213.01/213.13 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)).
% 213.01/213.13 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).
% 213.01/213.13 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).
% 213.01/213.13 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)).
% 213.01/213.13 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)).
% 213.01/213.13 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)).
% 213.01/213.13 0 [] c_in(c_Pair(V_x,V_x,T_a,T_a),c_Relation_OId(T_a),tc_prod(T_a,T_a)).
% 213.01/213.13 0 [] c_in(c_Pair(V_a,V_a,T_a,T_a),c_Relation_OId(T_a),tc_prod(T_a,T_a)).
% 213.01/213.13 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)).
% 213.01/213.13 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)).
% 213.01/213.13 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).
% 213.01/213.13 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)).
% 213.01/213.13 0 [] c_in(V_A,V_X,T_a)| -c_in(V_X,V_C,tc_fun(T_a,tc_bool))| -c_in(V_A,c_Complete__Lattice_OInf__class_OInf(V_C,tc_fun(T_a,tc_bool)),T_a).
% 213.01/213.13 0 [] c_in(V_A,c_Complete__Lattice_OSup__class_OSup(V_C,tc_fun(T_a,tc_bool)),T_a)| -c_in(V_A,V_X,T_a)| -c_in(V_X,V_C,tc_fun(T_a,tc_bool)).
% 213.01/213.13 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.
% 213.01/213.13 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.
% 213.01/213.13 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)).
% 213.01/213.13 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)).
% 213.01/213.13 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)).
% 213.01/213.13 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)).
% 213.01/213.13 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)).
% 213.01/213.13 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)).
% 213.01/213.13 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.
% 213.01/213.13 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.
% 213.01/213.13 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)).
% 213.01/213.13 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)).
% 213.01/213.13 0 [] c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(V_a,V_b),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|V_a=V_b.
% 213.01/213.13 0 [] c_in(v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(V_a,V_b),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.
% 213.01/213.13 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)).
% 213.01/213.13 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)).
% 213.01/213.13 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.
% 213.01/213.13 0 [] c_in(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)).
% 213.01/213.13 0 [] 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))| -c_in(c_Relation_Oconverse(V_L,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)).
% 213.01/213.13 0 [] c_in(c_Relation_Oconverse(V_L,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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)).
% 213.01/213.13 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.
% 213.01/213.13 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).
% 213.01/213.13 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).
% 213.01/213.13 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).
% 213.01/213.13 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).
% 213.01/213.13 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).
% 213.01/213.13 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).
% 213.01/213.13 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)).
% 213.01/213.13 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).
% 213.01/213.13 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).
% 213.01/213.13 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).
% 213.01/213.13 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)).
% 213.01/213.13 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)).
% 213.01/213.13 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)).
% 213.01/213.13 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)).
% 213.01/213.13 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)).
% 213.01/213.13 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)).
% 213.01/213.13 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).
% 213.01/213.13 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).
% 213.01/213.13 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).
% 213.01/213.13 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).
% 213.01/213.13 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).
% 213.01/213.13 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.
% 213.01/213.13 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)).
% 213.01/213.13 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)).
% 213.01/213.13 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.
% 213.01/213.13 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.
% 213.01/213.13 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)).
% 213.01/213.13 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)).
% 213.01/213.13 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)).
% 213.01/213.13 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.
% 213.01/213.13 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.
% 213.01/213.13 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)).
% 213.01/213.13 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.
% 213.01/213.13 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)).
% 213.01/213.13 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)).
% 213.01/213.13 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.
% 213.01/213.13 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.
% 213.01/213.13 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)).
% 213.01/213.13 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)).
% 213.01/213.13 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.
% 213.01/213.13 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.
% 213.01/213.13 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)).
% 213.01/213.13 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)).
% 213.01/213.13 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)).
% 213.01/213.13 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.
% 213.01/213.13 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.
% 213.01/213.13 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)).
% 213.01/213.13 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.
% 213.01/213.13 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)).
% 213.01/213.13 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)).
% 213.01/213.13 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.
% 213.01/213.13 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.
% 213.01/213.13 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.
% 213.01/213.13 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)).
% 213.01/213.13 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)).
% 213.01/213.13 0 [] c_in(V_x,V_S,T_a)| -hBOOL(hAPP(V_S,V_x)).
% 213.01/213.13 0 [] hBOOL(hAPP(V_S,V_x))| -c_in(V_x,V_S,T_a).
% 213.01/213.13 0 [] v_thesis____| -c_in(V_Lab,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(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_Lab,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 213.01/213.13 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)).
% 213.01/213.13 0 [] v_a____!=v_b____.
% 213.01/213.13 0 [] -v_thesis____.
% 213.01/213.13 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).
% 213.01/213.13 0 [] class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1))| -class_Complete__Lattice_Ocomplete__lattice(T_1).
% 213.01/213.13 0 [] class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 213.01/213.13 0 [] class_Lattices_Olower__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 213.01/213.13 0 [] class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1))| -class_Lattices_Odistrib__lattice(T_1).
% 213.01/213.13 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).
% 213.01/213.13 0 [] class_Orderings_Opreorder(tc_fun(T_2,T_1))| -class_Orderings_Opreorder(T_1).
% 213.01/213.13 0 [] class_Lattices_Olattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 213.01/213.13 0 [] class_Orderings_Oorder(tc_fun(T_2,T_1))| -class_Orderings_Oorder(T_1).
% 213.01/213.13 0 [] class_HOL_Oord(tc_fun(T_2,T_1))| -class_HOL_Oord(T_1).
% 213.01/213.13 0 [] class_Complete__Lattice_Ocomplete__lattice(tc_bool).
% 213.01/213.13 0 [] class_Lattices_Oupper__semilattice(tc_bool).
% 213.01/213.13 0 [] class_Lattices_Olower__semilattice(tc_bool).
% 213.01/213.13 0 [] class_Lattices_Odistrib__lattice(tc_bool).
% 213.01/213.13 0 [] class_Finite__Set_Ofinite_Ofinite(tc_bool).
% 213.01/213.13 0 [] class_Orderings_Opreorder(tc_bool).
% 213.01/213.13 0 [] class_Lattices_Olattice(tc_bool).
% 213.01/213.13 0 [] class_Orderings_Oorder(tc_bool).
% 213.01/213.13 0 [] class_HOL_Oord(tc_bool).
% 213.01/213.13 0 [] c_fe_qual(V_x,V_x,T_a).
% 213.01/213.13 0 [] V_X=V_Y| -c_fe_qual(V_X,V_Y,T_a).
% 213.01/213.13 end_of_list.
% 213.01/213.13
% 213.01/213.13 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 213.01/213.13
% 213.01/213.13 This ia a non-Horn set with equality. The strategy will be
% 213.01/213.13 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 213.01/213.13 deletion, with positive clauses in sos and nonpositive
% 213.01/213.13 clauses in usable.
% 213.01/213.13
% 213.01/213.13 dependent: set(knuth_bendix).
% 213.01/213.13 dependent: set(anl_eq).
% 213.01/213.13 dependent: set(para_from).
% 213.01/213.13 dependent: set(para_into).
% 213.01/213.13 dependent: clear(para_from_right).
% 213.01/213.13 dependent: clear(para_into_right).
% 213.01/213.13 dependent: set(para_from_vars).
% 213.01/213.13 dependent: set(eq_units_both_ways).
% 213.01/213.13 dependent: set(dynamic_demod_all).
% 213.01/213.13 dependent: set(dynamic_demod).
% 213.01/213.13 dependent: set(order_eq).
% 213.01/213.13 dependent: set(back_demod).
% 213.01/213.13 dependent: set(lrpo).
% 213.01/213.13 dependent: set(hyper_res).
% 213.01/213.13 dependent: set(unit_deletion).
% 213.01/213.13 dependent: set(factor).
% 213.01/213.13
% 213.01/213.13 ------------> process usable:
% 213.01/213.13 ** KEPT (pick-wt=8): 1 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,B,A)=B.
% 213.01/213.13 ** KEPT (pick-wt=20): 3 [copy,2,flip.2] -class_Lattices_Odistrib__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),c_Lattices_Olower__semilattice__class_Oinf(D,C,A),A)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),C,A).
% 213.01/213.13 ** KEPT (pick-wt=20): 5 [copy,4,flip.2] -class_Lattices_Odistrib__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),c_Lattices_Olower__semilattice__class_Oinf(B,D,A),A)=c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A).
% 213.01/213.13 ** KEPT (pick-wt=20): 6 [] 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)).
% 213.01/213.13 ** KEPT (pick-wt=16): 7 [] 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).
% 213.01/213.13 ** KEPT (pick-wt=15): 8 [] 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)).
% 213.01/213.13 ** KEPT (pick-wt=15): 9 [] 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)).
% 213.01/213.13 ** KEPT (pick-wt=15): 10 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(B,C,A),A)=c_Lattices_Olower__semilattice__class_Oinf(B,c_Complete__Lattice_OInf__class_OInf(C,A),A).
% 213.01/213.13 ** KEPT (pick-wt=9): 11 [] c_Relation_Otrans(A,B)| -c_Relation_Otrans(c_Relation_Oconverse(A,B,B),B).
% 213.01/213.13 ** KEPT (pick-wt=9): 12 [] c_Relation_Otrans(c_Relation_Oconverse(A,B,B),B)| -c_Relation_Otrans(A,B).
% 213.01/213.13 ** KEPT (pick-wt=15): 13 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(B,C,A),A)=c_Lattices_Oupper__semilattice__class_Osup(B,c_Complete__Lattice_OSup__class_OSup(C,A),A).
% 213.01/213.13 ** KEPT (pick-wt=14): 14 [] hBOOL(hAPP(A,B))|C=B| -hBOOL(hAPP(c_Set_Oinsert(C,A,D),B)).
% 213.01/213.13 ** KEPT (pick-wt=16): 15 [] c_Relation_Osym(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_prod(C,C),tc_bool)),C)| -c_Relation_Osym(B,C)| -c_Relation_Osym(A,C).
% 213.01/213.13 ** KEPT (pick-wt=23): 16 [] c_in(A,c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(tc_prod(D,D),tc_bool)),D),tc_prod(D,D))| -c_in(A,c_Transitive__Closure_Ortrancl(C,D),tc_prod(D,D)).
% 213.01/213.13 ** KEPT (pick-wt=23): 17 [] c_in(A,c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(tc_prod(D,D),tc_bool)),D),tc_prod(D,D))| -c_in(A,c_Transitive__Closure_Ortrancl(B,D),tc_prod(D,D)).
% 213.01/213.13 ** KEPT (pick-wt=17): 18 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)=c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A).
% 213.01/213.13 ** KEPT (pick-wt=17): 19 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)=c_Lattices_Oupper__semilattice__class_Osup(C,c_Lattices_Oupper__semilattice__class_Osup(B,D,A),A).
% 213.01/213.13 ** KEPT (pick-wt=17): 20 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)=c_Lattices_Oupper__semilattice__class_Osup(C,c_Lattices_Oupper__semilattice__class_Osup(B,D,A),A).
% 213.01/213.13 ** KEPT (pick-wt=17): 21 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)=c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A).
% 213.01/213.13 ** KEPT (pick-wt=14): 22 [] c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool))=A| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 213.01/213.13 ** KEPT (pick-wt=14): 23 [] c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool))=B| -c_lesse_quals(B,A,tc_fun(C,tc_bool)).
% 213.01/213.13 ** KEPT (pick-wt=12): 24 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=B| -c_lesse_quals(B,C,A).
% 213.01/213.13 ** KEPT (pick-wt=12): 25 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)!=B|c_lesse_quals(B,C,A).
% 213.01/213.13 ** KEPT (pick-wt=12): 26 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=C| -c_lesse_quals(C,B,A).
% 213.01/213.13 ** KEPT (pick-wt=23): 27 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))| -c_lesse_quals(B,D,tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)).
% 213.01/213.13 Following clause subsumed by 27 during input processing: 0 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))| -c_lesse_quals(B,D,tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)).
% 213.01/213.13 ** KEPT (pick-wt=17): 28 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A).
% 213.01/213.13 ** KEPT (pick-wt=9): 29 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A).
% 213.01/213.13 ** KEPT (pick-wt=9): 30 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,B,A),A).
% 213.01/213.13 Following clause subsumed by 28 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A).
% 213.01/213.13 Following clause subsumed by 28 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A).
% 213.01/213.13 ** KEPT (pick-wt=9): 31 [] -class_Lattices_Olattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,B,A),A).
% 213.01/213.13 ** KEPT (pick-wt=9): 32 [] -class_Lattices_Olattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A).
% 213.01/213.13 ** KEPT (pick-wt=11): 33 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=c_Lattices_Olower__semilattice__class_Oinf(C,B,A).
% 213.01/213.13 ** KEPT (pick-wt=11): 34 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=c_Lattices_Olower__semilattice__class_Oinf(C,B,A).
% 213.01/213.13 ** KEPT (pick-wt=21): 35 [] -class_Lattices_Olattice(A)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),c_Lattices_Olower__semilattice__class_Oinf(B,D,A),A),c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A),A).
% 213.01/213.13 ** KEPT (pick-wt=13): 36 [] c_in(A,B,C)| -c_lesse_quals(c_Set_Oinsert(A,D,C),B,tc_fun(C,tc_bool)).
% 213.01/213.13 ** KEPT (pick-wt=11): 37 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),D))| -hBOOL(hAPP(B,D)).
% 213.01/213.13 ** KEPT (pick-wt=20): 38 [] 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).
% 213.01/213.13 Following clause subsumed by 9 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).
% 213.01/213.13 ** KEPT (pick-wt=19): 39 [] 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)).
% 213.01/213.13 Following clause subsumed by 9 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).
% 213.01/213.13 Following clause subsumed by 39 during input processing: 0 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool))|c_in(D,A,C).
% 213.01/213.13 ** KEPT (pick-wt=17): 40 [] 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)).
% 213.01/213.13 ** KEPT (pick-wt=17): 41 [] 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)).
% 213.01/213.13 ** KEPT (pick-wt=13): 42 [] -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).
% 213.01/213.13 ** KEPT (pick-wt=13): 43 [] -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).
% 213.01/213.13 ** KEPT (pick-wt=13): 44 [] -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).
% 213.01/213.13 ** KEPT (pick-wt=13): 45 [] -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).
% 213.01/213.13 Following clause subsumed by 42 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).
% 213.01/213.13 Following clause subsumed by 43 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).
% 213.01/213.13 ** KEPT (pick-wt=11): 46 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=c_Lattices_Oupper__semilattice__class_Osup(C,B,A).
% 213.01/213.13 ** KEPT (pick-wt=11): 47 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=c_Lattices_Oupper__semilattice__class_Osup(C,B,A).
% 213.01/213.13 ** KEPT (pick-wt=14): 48 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A)=c_Lattices_Oupper__semilattice__class_Osup(B,C,A).
% 213.01/213.13 ** KEPT (pick-wt=14): 49 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A)=c_Lattices_Oupper__semilattice__class_Osup(B,C,A).
% 213.01/213.13 ** KEPT (pick-wt=5): 50 [] -class_Finite__Set_Ofinite_Ofinite(A)|c_Finite__Set_Ofinite(B,A).
% 213.01/213.13 ** KEPT (pick-wt=13): 51 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(C,A,tc_fun(D,tc_bool)),B)).
% 213.01/213.13 ** KEPT (pick-wt=13): 52 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_fun(D,tc_bool)),B)).
% 213.01/213.13 ** KEPT (pick-wt=16): 53 [] 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).
% 213.01/213.13 ** KEPT (pick-wt=8): 54 [] c_Transitive__Closure_Otrancl(A,B)=A| -c_Relation_Otrans(A,B).
% 213.01/213.13 ** KEPT (pick-wt=11): 55 [] c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(B,C).
% 213.01/213.13 ** KEPT (pick-wt=11): 56 [] c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(A,C).
% 213.01/213.13 ** KEPT (pick-wt=17): 57 [] 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).
% 213.01/213.13 Following clause subsumed by 57 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).
% 213.01/213.13 ** KEPT (pick-wt=11): 58 [] c_in(A,c_Set_Oinsert(B,C,D),D)| -c_in(A,C,D).
% 213.01/213.13 Following clause subsumed by 58 during input processing: 0 [] c_in(A,c_Set_Oinsert(B,C,D),D)| -c_in(A,C,D).
% 213.01/213.13 ** KEPT (pick-wt=13): 59 [] c_in(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D)| -c_in(A,B,D).
% 213.01/213.13 ** KEPT (pick-wt=13): 60 [] c_in(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D)| -c_in(A,C,D).
% 213.01/213.13 ** KEPT (pick-wt=14): 61 [] c_in(A,B,C)|A=D| -c_in(A,c_Set_Oinsert(D,B,C),C).
% 213.01/213.13 ** KEPT (pick-wt=17): 62 [] c_in(A,B,C)|c_in(A,D,C)| -c_in(A,c_Lattices_Oupper__semilattice__class_Osup(D,B,tc_fun(C,tc_bool)),C).
% 213.01/213.13 ** KEPT (pick-wt=13): 63 [] c_in(A,B,C)| -c_in(A,c_Lattices_Olower__semilattice__class_Oinf(D,B,tc_fun(C,tc_bool)),C).
% 213.01/213.13 ** KEPT (pick-wt=13): 64 [] c_in(A,B,C)| -c_in(A,c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(C,tc_bool)),C).
% 213.01/213.13 ** KEPT (pick-wt=20): 65 [] c_Set_Oinsert(A,B,C)!=c_Set_Oinsert(A,D,C)|c_in(A,D,C)|c_in(A,B,C)|B=D.
% 213.01/213.13 ** KEPT (pick-wt=10): 66 [] c_Set_Oinsert(A,B,C)=B| -c_in(A,B,C).
% 213.01/213.13 ** KEPT (pick-wt=14): 67 [] -c_in(A,B,C)|c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E).
% 213.01/213.13 Following clause subsumed by 67 during input processing: 0 [] -c_in(A,B,C)|c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E).
% 213.01/213.13 Following clause subsumed by 67 during input processing: 0 [] c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)| -c_in(B,C,D).
% 213.01/213.13 Following clause subsumed by 67 during input processing: 0 [] c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)| -c_in(B,C,D).
% 213.01/213.13 ** KEPT (pick-wt=26): 68 [] 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)).
% 213.01/213.13 ** KEPT (pick-wt=42): 69 [] 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)).
% 213.01/213.13 ** KEPT (pick-wt=29): 70 [] c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_prod(C,C),tc_bool)),C)| -c_lesse_quals(c_Relation_Orel__comp(A,B,C,C,C),A,tc_fun(tc_prod(C,C),tc_bool))| -c_Wellfounded_Owf(B,C)| -c_Wellfounded_Owf(A,C).
% 213.01/213.13 ** KEPT (pick-wt=40): 71 [] 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)).
% 213.01/213.13 ** KEPT (pick-wt=9): 72 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(c_Set_Oinsert(C,A,B),B).
% 213.01/213.13 ** KEPT (pick-wt=9): 73 [] c_Finite__Set_Ofinite(c_Set_Oinsert(A,B,C),C)| -c_Finite__Set_Ofinite(B,C).
% 213.01/213.13 ** KEPT (pick-wt=10): 74 [] c_Relation_Otrans(c_Relation_Oinv__image(A,B,C,D),D)| -c_Relation_Otrans(A,C).
% 213.01/213.13 ** KEPT (pick-wt=14): 75 [] c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(B,C)| -c_Finite__Set_Ofinite(A,C).
% 213.01/213.13 Following clause subsumed by 75 during input processing: 0 [] c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(B,C)| -c_Finite__Set_Ofinite(A,C).
% 213.01/213.13 ** KEPT (pick-wt=29): 76 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))!=c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))|c_lesse_quals(D,A,tc_fun(C,tc_bool)).
% 213.01/213.13 ** KEPT (pick-wt=29): 77 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))| -c_lesse_quals(D,A,tc_fun(C,tc_bool)).
% 213.01/213.13 ** KEPT (pick-wt=14): 78 [] c_Relation_Otrans(c_Lattices_Oupper__semilattice__class_Osup(A,c_Relation_OId(B),tc_fun(tc_prod(B,B),tc_bool)),B)| -c_Relation_Otrans(A,B).
% 213.01/213.13 ** KEPT (pick-wt=17): 79 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(C,B))| -hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(C,A,tc_fun(D,tc_bool)),B)).
% 213.01/213.13 ** KEPT (pick-wt=13): 80 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(B,D)).
% 213.01/213.13 ** KEPT (pick-wt=13): 81 [] hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(A,D)).
% 213.01/213.13 ** KEPT (pick-wt=16): 82 [] 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).
% 213.01/213.13 ** KEPT (pick-wt=24): 83 [] c_Relation_Orefl__on(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(D,E,tc_fun(tc_prod(C,C),tc_bool)),C)| -c_Relation_Orefl__on(B,E,C)| -c_Relation_Orefl__on(A,D,C).
% 213.01/213.13 ** KEPT (pick-wt=17): 84 [] -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).
% 213.01/213.13 ** KEPT (pick-wt=17): 85 [] -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).
% 213.01/213.13 ** KEPT (pick-wt=17): 86 [] -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).
% 213.01/213.14 ** KEPT (pick-wt=17): 87 [] -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).
% 213.01/213.14 ** KEPT (pick-wt=11): 88 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(B,tc_bool)),B).
% 213.01/213.14 ** KEPT (pick-wt=11): 89 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(C,A,tc_fun(B,tc_bool)),B).
% 213.01/213.14 ** KEPT (pick-wt=16): 90 [] 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).
% 213.01/213.14 ** KEPT (pick-wt=21): 91 [] -class_Lattices_Olattice(A)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),c_Lattices_Oupper__semilattice__class_Osup(B,D,A),A),A).
% 213.01/213.14 ** KEPT (pick-wt=11): 92 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Olower__semilattice__class_Oinf(B,C,A),A)=B.
% 213.01/213.14 ** KEPT (pick-wt=11): 93 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A)=B.
% 213.01/213.14 ** KEPT (pick-wt=12): 94 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=B| -c_lesse_quals(C,B,A).
% 213.01/213.14 ** KEPT (pick-wt=12): 95 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)!=C|c_lesse_quals(B,C,A).
% 213.01/213.14 ** KEPT (pick-wt=12): 96 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=C| -c_lesse_quals(B,C,A).
% 213.01/213.14 ** KEPT (pick-wt=14): 97 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=B| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 213.01/213.14 ** KEPT (pick-wt=14): 98 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=A| -c_lesse_quals(B,A,tc_fun(C,tc_bool)).
% 213.01/213.14 ** KEPT (pick-wt=14): 99 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))!=B|c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 213.01/213.14 ** KEPT (pick-wt=24): 100 [] 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).
% 213.01/213.14 ** KEPT (pick-wt=10): 101 [] c_Finite__Set_Ofinite(c_Set_Oimage(A,B,C,D),D)| -c_Finite__Set_Ofinite(B,C).
% 213.01/213.14 ** KEPT (pick-wt=23): 103 [copy,102,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).
% 213.01/213.14 ** KEPT (pick-wt=23): 105 [copy,104,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).
% 213.01/213.14 ** KEPT (pick-wt=28): 106 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(D,E,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))| -c_lesse_quals(B,E,tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)).
% 213.01/213.14 ** KEPT (pick-wt=9): 107 [] -class_Lattices_Olattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),B,A).
% 213.01/213.14 ** KEPT (pick-wt=9): 108 [] -class_Lattices_Olattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),C,A).
% 213.01/213.14 ** KEPT (pick-wt=17): 109 [] -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).
% 213.01/213.14 Following clause subsumed by 109 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).
% 213.01/213.14 Following clause subsumed by 109 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).
% 213.01/213.14 ** KEPT (pick-wt=9): 110 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),C,A).
% 213.01/213.14 ** KEPT (pick-wt=9): 111 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),B,A).
% 213.01/213.14 ** KEPT (pick-wt=23): 112 [] 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)).
% 213.01/213.14 Following clause subsumed by 112 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)).
% 213.01/213.14 ** KEPT (pick-wt=20): 113 [] -class_Lattices_Odistrib__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A).
% 213.01/213.14 ** KEPT (pick-wt=20): 114 [] -class_Lattices_Odistrib__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),c_Lattices_Oupper__semilattice__class_Osup(B,D,A),A).
% 213.01/213.14 ** KEPT (pick-wt=19): 115 [] 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).
% 213.01/213.14 ** KEPT (pick-wt=14): 116 [] -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).
% 213.01/213.14 ** KEPT (pick-wt=14): 117 [] -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).
% 213.01/213.14 ** KEPT (pick-wt=18): 118 [] 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)).
% 213.01/213.14 ** KEPT (pick-wt=13): 119 [] 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).
% 213.01/213.14 ** KEPT (pick-wt=13): 120 [] 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).
% 213.01/213.14 ** KEPT (pick-wt=8): 121 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,B,A)=B.
% 213.01/213.14 ** KEPT (pick-wt=13): 122 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(D,B,A),C,A).
% 213.01/213.14 ** KEPT (pick-wt=13): 123 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),C,A).
% 213.01/213.14 ** KEPT (pick-wt=13): 124 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)| -c_lesse_quals(B,D,A).
% 213.01/213.14 ** KEPT (pick-wt=13): 125 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)| -c_lesse_quals(B,C,A).
% 213.01/213.14 Following clause subsumed by 122 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(D,B,A),C,A).
% 213.01/213.14 Following clause subsumed by 123 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),C,A).
% 213.01/213.14 ** KEPT (pick-wt=17): 126 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(A,D,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)).
% 213.01/213.14 ** KEPT (pick-wt=17): 127 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(D,A,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)).
% 213.01/213.14 ** KEPT (pick-wt=12): 128 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(C,B)| -c_lesse_quals(A,C,tc_fun(B,tc_bool)).
% 213.01/213.14 Following clause subsumed by 128 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).
% 213.01/213.14 ** KEPT (pick-wt=28): 129 [] 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)).
% 213.01/213.14 ** KEPT (pick-wt=17): 130 [] hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D))| -hBOOL(hAPP(B,D))| -hBOOL(hAPP(A,D)).
% 213.01/213.14 ** KEPT (pick-wt=20): 131 [] 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)).
% 213.01/213.14 Following clause subsumed by 131 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)).
% 213.01/213.14 ** KEPT (pick-wt=18): 132 [] 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)).
% 213.01/213.14 ** KEPT (pick-wt=7): 133 [] c_Relation_Otrans(A,B)| -c_Equiv__Relations_Oe_quiv(C,A,B).
% 213.01/213.14 ** KEPT (pick-wt=33): 134 [] 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).
% 213.01/213.14 Following clause subsumed by 134 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).
% 213.01/213.14 ** KEPT (pick-wt=15): 135 [] c_Wellfounded_Owf(A,B)| -c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(C,D,B,B),A,tc_prod(B,B)),B).
% 213.01/213.14 ** KEPT (pick-wt=37): 136 [] c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(A,A,B,B,B),c_Relation_Orel__comp(C,A,B,B,B),tc_fun(tc_prod(B,B),tc_bool)),C,tc_fun(tc_prod(B,B),tc_bool)),B)| -c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(tc_prod(B,B),tc_bool)),B).
% 213.01/213.14 ** KEPT (pick-wt=37): 137 [] c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_prod(C,C),tc_bool)),C)| -c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(A,A,C,C,C),c_Relation_Orel__comp(B,A,C,C,C),tc_fun(tc_prod(C,C),tc_bool)),B,tc_fun(tc_prod(C,C),tc_bool)),C).
% 213.01/213.14 ** KEPT (pick-wt=16): 138 [] c_Finite__Set_Ofinite(c_Complete__Lattice_OInf__class_OInf(A,tc_fun(B,tc_bool)),B)| -c_Finite__Set_Ofinite(C,B)| -c_in(C,A,tc_fun(B,tc_bool)).
% 213.01/213.14 ** KEPT (pick-wt=24): 139 [] -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).
% 213.01/213.14 ** KEPT (pick-wt=27): 140 [] 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).
% 213.01/213.14 ** KEPT (pick-wt=28): 141 [] 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)).
% 213.01/213.14 ** KEPT (pick-wt=31): 142 [] 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)).
% 213.01/213.14 ** KEPT (pick-wt=26): 143 [] 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).
% 213.01/213.14 ** KEPT (pick-wt=25): 144 [] 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)).
% 213.01/213.14 ** KEPT (pick-wt=41): 145 [] 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)).
% 213.01/213.14 ** KEPT (pick-wt=22): 146 [] 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).
% 213.01/213.14 ** KEPT (pick-wt=28): 147 [] 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)).
% 213.01/213.14 ** KEPT (pick-wt=28): 148 [] 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)).
% 213.01/213.14 ** KEPT (pick-wt=28): 149 [] 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)).
% 213.01/213.14 ** KEPT (pick-wt=28): 150 [] 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)).
% 213.01/213.14 ** KEPT (pick-wt=32): 151 [] 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).
% 213.01/213.14 ** KEPT (pick-wt=37): 152 [] 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)).
% 213.01/213.14 ** KEPT (pick-wt=37): 153 [] 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)).
% 213.01/213.14 ** KEPT (pick-wt=27): 154 [] 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)).
% 213.01/213.14 Following clause subsumed by 154 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)).
% 213.01/213.14 ** KEPT (pick-wt=27): 155 [] 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.
% 213.01/213.14 ** KEPT (pick-wt=36): 156 [] c_in(c_Pair(A,c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1(B,A,C,D),D,D),B,tc_prod(D,D))|c_in(c_Pair(A,C,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)).
% 213.01/213.14 ** KEPT (pick-wt=34): 157 [] 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)).
% 213.01/213.14 ** KEPT (pick-wt=34): 158 [] 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)).
% 213.01/213.14 ** KEPT (pick-wt=16): 159 [] c_lesse_quals(c_Complete__Lattice_OInf__class_OInf(A,tc_fun(B,tc_bool)),C,tc_fun(B,tc_bool))| -c_in(C,A,tc_fun(B,tc_bool)).
% 213.01/213.14 ** KEPT (pick-wt=15): 160 [] c_in(A,c_Complete__Lattice_OInf__class_OInf(B,tc_fun(C,tc_bool)),C)| -c_in(A,c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1(A,B,C),C).
% 213.01/213.14 ** KEPT (pick-wt=19): 161 [] 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).
% 213.01/213.14 ** KEPT (pick-wt=15): 162 [] 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).
% 213.01/213.14 ** KEPT (pick-wt=16): 163 [] 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).
% 213.01/213.14 ** KEPT (pick-wt=17): 164 [] 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).
% 213.01/213.14 ** KEPT (pick-wt=15): 165 [] -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).
% 213.01/213.14 ** KEPT (pick-wt=19): 166 [] 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).
% 213.01/213.14 ** KEPT (pick-wt=16): 167 [] 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).
% 213.01/213.14 ** KEPT (pick-wt=17): 168 [] 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).
% 213.01/213.14 ** KEPT (pick-wt=12): 169 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_lesse_quals(c_Complete__Lattice_OInf__class_OInf(B,A),C,A)| -c_in(C,B,A).
% 213.01/213.14 ** KEPT (pick-wt=16): 170 [] c_lesse_quals(A,c_Complete__Lattice_OSup__class_OSup(B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))| -c_in(A,B,tc_fun(C,tc_bool)).
% 213.01/213.14 ** KEPT (pick-wt=24): 171 [] 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)).
% 213.01/213.14 ** KEPT (pick-wt=17): 172 [] c_in(c_ATP__Linkup_Osko__Relation__XImage__iff__1__1(A,B,C,D,E),A,D)| -c_in(B,c_Relation_OImage(C,A,D,E),E).
% 213.01/213.14 ** KEPT (pick-wt=17): 173 [] c_in(c_ATP__Linkup_Osko__Relation__XImageE__1__1(A,B,C,D,E),A,D)| -c_in(B,c_Relation_OImage(C,A,D,E),E).
% 213.01/213.14 ** KEPT (pick-wt=28): 174 [] 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.
% 213.01/213.14 ** KEPT (pick-wt=14): 175 [] c_in(c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1(A,B,C),A,C)| -c_in(D,A,C)| -c_Wellfounded_Owf(B,C).
% 213.01/213.14 ** KEPT (pick-wt=14): 176 [] c_in(c_ATP__Linkup_Osko__Wellfounded__Xwf__e_q__minimal__1__1(A,B,C),A,C)| -c_in(D,A,C)| -c_Wellfounded_Owf(B,C).
% 213.01/213.14 ** KEPT (pick-wt=15): 177 [] c_in(A,c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1(A,B,C),C)| -c_in(A,c_Complete__Lattice_OSup__class_OSup(B,tc_fun(C,tc_bool)),C).
% 213.01/213.14 ** KEPT (pick-wt=12): 178 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_lesse_quals(B,c_Complete__Lattice_OSup__class_OSup(C,A),A)| -c_in(B,C,A).
% 213.01/213.14 ** KEPT (pick-wt=34): 179 [] 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)).
% 213.01/213.14 ** KEPT (pick-wt=34): 180 [] 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)).
% 213.01/213.14 ** KEPT (pick-wt=36): 181 [] 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)).
% 213.01/213.14 ** KEPT (pick-wt=28): 182 [] 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)).
% 213.01/213.14 ** KEPT (pick-wt=10): 183 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_lesse_quals(C,B,A).
% 213.01/213.14 ** KEPT (pick-wt=21): 184 [] 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).
% 213.01/213.14 ** KEPT (pick-wt=28): 185 [] 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)).
% 213.01/213.14 ** KEPT (pick-wt=20): 186 [] 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)).
% 213.01/213.14 ** KEPT (pick-wt=14): 187 [] hBOOL(hAPP(A,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool))| -hBOOL(hAPP(C,B)).
% 213.01/213.14 ** KEPT (pick-wt=6): 188 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,B,A).
% 213.01/213.14 ** KEPT (pick-wt=6): 189 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,B,A).
% 213.01/213.14 ** KEPT (pick-wt=14): 190 [] c_Wellfounded_Owf(A,B)| -c_lesse_quals(A,C,tc_fun(tc_prod(B,B),tc_bool))| -c_Wellfounded_Owf(C,B).
% 213.01/213.14 Following clause subsumed by 187 during input processing: 0 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(C,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool)).
% 213.01/213.14 ** KEPT (pick-wt=18): 191 [] 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)).
% 213.01/213.14 ** KEPT (pick-wt=14): 192 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(D,C,A)| -c_lesse_quals(B,D,A).
% 213.01/213.14 ** KEPT (pick-wt=14): 193 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(D,C,A).
% 213.01/213.14 ** KEPT (pick-wt=22): 194 [] 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)).
% 213.01/213.14 ** KEPT (pick-wt=36): 195 [] 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)).
% 213.01/213.14 ** KEPT (pick-wt=13): 196 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(B,C,A)| -c_lesse_quals(C,B,A).
% 213.01/213.14 Following clause subsumed by 196 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 213.01/213.14 Following clause subsumed by 196 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 213.01/213.14 ** KEPT (pick-wt=15): 197 [] A=B| -c_lesse_quals(B,A,tc_fun(C,tc_bool))| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 213.01/213.14 Following clause subsumed by 197 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)).
% 213.01/213.14 ** KEPT (pick-wt=56): 198 [] 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)).
% 213.01/213.14 ** KEPT (pick-wt=20): 199 [] 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)).
% 213.01/213.14 ** KEPT (pick-wt=36): 200 [] 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).
% 213.01/213.14 ** KEPT (pick-wt=36): 201 [] 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).
% 213.01/213.14 ** KEPT (pick-wt=21): 202 [] 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).
% 213.01/213.14 ** KEPT (pick-wt=34): 203 [] 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)).
% 213.01/213.14 ** KEPT (pick-wt=27): 204 [] 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)).
% 213.01/213.14 ** KEPT (pick-wt=8): 205 [] c_Relation_Osym(c_Transitive__Closure_Ortrancl(A,B),B)| -c_Relation_Osym(A,B).
% 213.01/213.14 ** KEPT (pick-wt=25): 206 [] 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)).
% 213.01/213.14 ** KEPT (pick-wt=36): 207 [] 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)).
% 213.01/213.14 ** KEPT (pick-wt=18): 208 [] 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)).
% 213.01/213.14 ** KEPT (pick-wt=32): 209 [] hAPP(A,c_List_Osko__Recdef__Xcuts__e_q__1__1(A,B,C,D,E,F))!=hAPP(B,c_List_Osko__Recdef__Xcuts__e_q__1__1(A,B,C,D,E,F))|c_Recdef_Ocut(A,C,D,E,F)=c_Recdef_Ocut(B,C,D,E,F).
% 213.01/213.14 ** KEPT (pick-wt=16): 210 [] -class_HOL_Oord(A)|c_lesse_quals(hAPP(B,C),hAPP(D,C),A)| -c_lesse_quals(B,D,tc_fun(E,A)).
% 213.01/213.14 ** KEPT (pick-wt=14): 211 [] c_in(A,B,C)| -c_in(A,D,C)| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 213.01/213.14 Following clause subsumed by 211 during input processing: 0 [] c_in(A,B,C)| -c_lesse_quals(D,B,tc_fun(C,tc_bool))| -c_in(A,D,C).
% 213.01/213.14 Following clause subsumed by 211 during input processing: 0 [] c_in(A,B,C)| -c_in(A,D,C)| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 213.01/213.14 Following clause subsumed by 211 during input processing: 0 [] c_in(A,B,C)| -c_in(A,D,C)| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 213.01/213.14 ** KEPT (pick-wt=14): 212 [] c_in(A,c_Transitive__Closure_Ortrancl(B,C),tc_prod(C,C))| -c_in(A,B,tc_prod(C,C)).
% 213.01/213.14 ** KEPT (pick-wt=24): 213 [] 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)).
% 213.01/213.14 ** KEPT (pick-wt=36): 214 [] 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)).
% 213.01/213.14 ** KEPT (pick-wt=36): 215 [] 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)).
% 213.01/213.14 ** KEPT (pick-wt=26): 216 [] 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)).
% 213.01/213.14 ** KEPT (pick-wt=38): 217 [] c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1(A,B,C,D),C,D,D),c_Transitive__Closure_Otrancl(A,D),tc_prod(D,D))|c_in(c_Pair(B,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)).
% 213.01/213.14 ** KEPT (pick-wt=26): 218 [] -c_in(c_Pair(A,A,B,B),C,tc_prod(B,B))|c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1(C,B),c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1(C,B),B,B),c_Transitive__Closure_Otrancl(C,B),tc_prod(B,B)).
% 213.01/213.14 ** KEPT (pick-wt=17): 219 [] c_in(c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1(A,B,C),B,tc_fun(C,tc_bool))| -c_in(A,c_Complete__Lattice_OSup__class_OSup(B,tc_fun(C,tc_bool)),C).
% 213.01/213.14 ** KEPT (pick-wt=27): 220 [] 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)).
% 213.01/213.14 ** KEPT (pick-wt=27): 221 [] 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)).
% 213.01/213.14 ** KEPT (pick-wt=32): 222 [] c_in(c_Pair(A,c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1(A,B,C,D,E,F,G),E,G),C,tc_prod(E,G))| -c_in(c_Pair(A,B,E,F),c_Relation_Orel__comp(C,D,E,G,F),tc_prod(E,F)).
% 213.01/213.14 ** KEPT (pick-wt=32): 223 [] c_in(c_Pair(c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1(A,B,C,D,E,F,G),B,G,F),D,tc_prod(G,F))| -c_in(c_Pair(A,B,E,F),c_Relation_Orel__comp(C,D,E,G,F),tc_prod(E,F)).
% 213.01/213.14 ** KEPT (pick-wt=28): 224 [] 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).
% 213.01/213.14 ** KEPT (pick-wt=25): 225 [] 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)).
% 213.01/213.14 ** KEPT (pick-wt=28): 226 [] 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).
% 213.01/213.15 ** KEPT (pick-wt=17): 227 [] c_in(c_List_Osko__Equiv__Relations__XquotientE__1__1(A,B,C,D),A,D)| -c_in(B,c_Equiv__Relations_Oquotient(A,C,D),tc_fun(D,tc_bool)).
% 213.01/213.15 ** KEPT (pick-wt=18): 229 [copy,228,flip.1] c_Pair(c_ATP__Linkup_Osko__Relation__XIdE__1__1(A,B),c_ATP__Linkup_Osko__Relation__XIdE__1__1(A,B),B,B)=A| -c_in(A,c_Relation_OId(B),tc_prod(B,B)).
% 213.01/213.15 ** KEPT (pick-wt=11): 230 [] c_Wellfounded_Owf(A,B)| -c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1(A,B),c_Wellfounded_Oacc(A,B),B).
% 213.01/213.15 ** KEPT (pick-wt=11): 231 [] c_Wellfounded_Owf(A,B)| -c_in(c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1(A,B),c_Wellfounded_Oacc(A,B),B).
% 213.01/213.15 ** KEPT (pick-wt=15): 232 [] c_in(c_ATP__Linkup_Osko__Relation__XId__onE__1__1(A,B,C),A,C)| -c_in(B,c_Relation_OId__on(A,C),tc_prod(C,C)).
% 213.01/213.15 ** KEPT (pick-wt=21): 234 [copy,233,flip.1] c_Pair(c_ATP__Linkup_Osko__Relation__XId__onE__1__1(A,B,C),c_ATP__Linkup_Osko__Relation__XId__onE__1__1(A,B,C),C,C)=B| -c_in(B,c_Relation_OId__on(A,C),tc_prod(C,C)).
% 213.01/213.15 ** KEPT (pick-wt=20): 235 [] 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).
% 213.01/213.15 ** KEPT (pick-wt=17): 236 [] c_Nitpick_Orefl_H(A,B)| -c_in(c_Pair(c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1(A,B),c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1(A,B),B,B),A,tc_prod(B,B)).
% 213.01/213.15 ** KEPT (pick-wt=20): 238 [copy,237,factor_simp] -c_in(A,B,C)| -c_in(c_Pair(A,c_ATP__Linkup_Osko__Wellfounded__Xwf__e_q__minimal__1__1(B,D,C),C,C),D,tc_prod(C,C))| -c_Wellfounded_Owf(D,C).
% 213.01/213.15 ** KEPT (pick-wt=20): 240 [copy,239,factor_simp] -c_in(A,B,C)| -c_in(c_Pair(A,c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1(B,D,C),C,C),D,tc_prod(C,C))| -c_Wellfounded_Owf(D,C).
% 213.01/213.15 ** KEPT (pick-wt=23): 241 [] c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XImage__iff__1__1(A,B,C,D,E),B,D,E),C,tc_prod(D,E))| -c_in(B,c_Relation_OImage(C,A,D,E),E).
% 213.01/213.15 ** KEPT (pick-wt=23): 242 [] c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XImageE__1__1(A,B,C,D,E),B,D,E),C,tc_prod(D,E))| -c_in(B,c_Relation_OImage(C,A,D,E),E).
% 213.01/213.15 ** KEPT (pick-wt=22): 243 [] 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).
% 213.01/213.15 ** KEPT (pick-wt=21): 244 [] c_in(c_Pair(A,c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1(A,B,C,D),C,D),B,tc_prod(C,D))| -c_in(A,c_Relation_ODomain(B,C,D),C).
% 213.01/213.15 ** KEPT (pick-wt=21): 245 [] c_in(c_Pair(A,c_ATP__Linkup_Osko__Relation__XDomainE__1__1(A,B,C,D),C,D),B,tc_prod(C,D))| -c_in(A,c_Relation_ODomain(B,C,D),C).
% 213.01/213.15 ** KEPT (pick-wt=27): 246 [] 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).
% 213.01/213.15 ** KEPT (pick-wt=28): 247 [] 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).
% 213.01/213.15 ** KEPT (pick-wt=26): 248 [] 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).
% 213.01/213.15 ** KEPT (pick-wt=28): 249 [] 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).
% 213.01/213.15 ** KEPT (pick-wt=24): 250 [] 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).
% 213.01/213.15 Following clause subsumed by 250 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)).
% 213.01/213.15 ** KEPT (pick-wt=26): 251 [] 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).
% 213.01/213.15 ** KEPT (pick-wt=27): 252 [] 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).
% 213.01/213.15 ** KEPT (pick-wt=21): 253 [] 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).
% 213.01/213.15 ** KEPT (pick-wt=21): 254 [] 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).
% 213.01/213.15 ** KEPT (pick-wt=23): 255 [] -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).
% 213.01/213.15 ** KEPT (pick-wt=22): 256 [] 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)).
% 213.01/213.15 ** KEPT (pick-wt=34): 257 [] 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)).
% 213.01/213.15 ** KEPT (pick-wt=34): 258 [] 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)).
% 213.01/213.15 ** KEPT (pick-wt=23): 259 [] 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)).
% 213.01/213.15 ** KEPT (pick-wt=23): 260 [] 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)).
% 213.01/213.15 Following clause subsumed by 260 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)).
% 213.01/213.15 ** KEPT (pick-wt=22): 261 [] 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)).
% 213.01/213.15 Following clause subsumed by 261 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)).
% 213.01/213.15 ** KEPT (pick-wt=14): 262 [] c_in(A,c_Transitive__Closure_Otrancl(B,C),tc_prod(C,C))| -c_in(A,B,tc_prod(C,C)).
% 213.01/213.15 ** KEPT (pick-wt=30): 263 [] 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)).
% 213.01/213.15 ** KEPT (pick-wt=30): 264 [] 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)).
% 213.01/213.15 ** KEPT (pick-wt=9): 265 [] c_in(A,c_Wellfounded_Oacc(B,C),C)| -c_Wellfounded_Owf(B,C).
% 213.01/213.15 ** KEPT (pick-wt=8): 266 [] c_Relation_Osym(c_Transitive__Closure_Otrancl(A,B),B)| -c_Relation_Osym(A,B).
% 213.01/213.15 ** KEPT (pick-wt=9): 267 [] c_Relation_Osym(A,B)| -c_Relation_Osym(c_Relation_Oconverse(A,B,B),B).
% 213.01/213.15 ** KEPT (pick-wt=9): 268 [] c_Relation_Osym(c_Relation_Oconverse(A,B,B),B)| -c_Relation_Osym(A,B).
% 213.01/213.15 ** KEPT (pick-wt=14): 269 [] 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).
% 213.01/213.15 ** KEPT (pick-wt=11): 270 [] c_Relation_Orefl__on(A,B,C)| -c_Relation_Orefl__on(A,c_Relation_Oconverse(B,C,C),C).
% 213.01/213.15 ** KEPT (pick-wt=11): 271 [] c_Relation_Orefl__on(A,c_Relation_Oconverse(B,C,C),C)| -c_Relation_Orefl__on(A,B,C).
% 213.01/213.15 ** KEPT (pick-wt=11): 272 [] c_Wellfounded_Owf(c_Relation_Orel__comp(A,A,B,B,B),B)| -c_Wellfounded_Owf(A,B).
% 213.01/213.15 ** KEPT (pick-wt=11): 273 [] c_Wellfounded_Owf(A,B)| -c_Wellfounded_Owf(c_Relation_Orel__comp(A,A,B,B,B),B).
% 213.01/213.15 ** KEPT (pick-wt=9): 274 [] c_Relation_Oconverse(A,B,B)=A| -c_Relation_Osym(A,B).
% 213.01/213.15 ** KEPT (pick-wt=9): 275 [] c_Relation_Oconverse(A,B,B)!=A|c_Relation_Osym(A,B).
% 213.01/213.15 ** KEPT (pick-wt=10): 276 [] c_Wellfounded_Owf(c_Relation_Oinv__image(A,B,C,D),D)| -c_Wellfounded_Owf(A,C).
% 213.01/213.15 ** KEPT (pick-wt=10): 277 [] c_Relation_Osym(c_Relation_Oinv__image(A,B,C,D),D)| -c_Relation_Osym(A,C).
% 213.01/213.15 ** KEPT (pick-wt=8): 278 [] c_Wellfounded_Owf(c_Transitive__Closure_Otrancl(A,B),B)| -c_Wellfounded_Owf(A,B).
% 213.01/213.15 ** KEPT (pick-wt=18): 279 [] 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).
% 213.01/213.15 ** KEPT (pick-wt=15): 280 [] c_Relation_Orel__comp(c_Relation_Oconverse(A,B,B),A,B,B,B)=A| -c_Equiv__Relations_Oe_quiv(C,A,B).
% 213.01/213.15 ** KEPT (pick-wt=8): 281 [] c_Relation_Orefl__on(A,B,C)| -c_Equiv__Relations_Oe_quiv(A,B,C).
% 213.01/213.15 ** KEPT (pick-wt=14): 282 [] c_Complete__Lattice_OSup__class_OSup(c_Equiv__Relations_Oquotient(A,B,C),tc_fun(C,tc_bool))=A| -c_Equiv__Relations_Oe_quiv(A,B,C).
% 213.01/213.15 ** KEPT (pick-wt=7): 283 [] c_Relation_Osym(A,B)| -c_Equiv__Relations_Oe_quiv(C,A,B).
% 213.01/213.15 ** KEPT (pick-wt=11): 284 [] c_Relation_Ototal__on(A,B,C)| -c_Relation_Ototal__on(A,c_Relation_Oconverse(B,C,C),C).
% 213.01/213.15 ** KEPT (pick-wt=11): 285 [] c_Relation_Ototal__on(A,c_Relation_Oconverse(B,C,C),C)| -c_Relation_Ototal__on(A,B,C).
% 213.01/213.15 ** KEPT (pick-wt=15): 286 [] A=B| -c_in(c_Pair(A,B,C,C),c_Relation_OId__on(D,C),tc_prod(C,C)).
% 213.01/213.15 ** KEPT (pick-wt=30): 287 [] 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)).
% 213.01/213.15 ** KEPT (pick-wt=14): 288 [] A=B| -c_in(c_Pair(A,B,C,C),c_Relation_OId(C),tc_prod(C,C)).
% 213.01/213.15 ** KEPT (pick-wt=13): 289 [] c_in(c_Pair(A,A,B,B),C,tc_prod(B,B))| -c_Nitpick_Orefl_H(C,B).
% 213.01/213.15 ** KEPT (pick-wt=13): 290 [] -c_in(c_Pair(A,A,B,B),C,tc_prod(B,B))| -c_Wellfounded_Owf(C,B).
% 213.01/213.15 ** KEPT (pick-wt=28): 291 [] 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)).
% 213.01/213.15 ** KEPT (pick-wt=28): 292 [] 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)).
% 213.01/213.15 ** KEPT (pick-wt=23): 293 [] 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).
% 213.01/213.15 Following clause subsumed by 293 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).
% 213.01/213.15 ** KEPT (pick-wt=35): 294 [] 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)).
% 213.01/213.15 ** KEPT (pick-wt=32): 295 [] 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)).
% 213.01/213.15 ** KEPT (pick-wt=36): 296 [] 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)).
% 213.01/213.15 ** KEPT (pick-wt=22): 297 [] 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)).
% 213.01/213.15 Following clause subsumed by 297 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)).
% 213.01/213.15 ** KEPT (pick-wt=43): 298 [] 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).
% 213.01/213.15 ** KEPT (pick-wt=31): 300 [copy,299,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)).
% 213.01/213.15 ** KEPT (pick-wt=18): 301 [] c_in(A,B,C)| -c_in(B,D,tc_fun(C,tc_bool))| -c_in(A,c_Complete__Lattice_OInf__class_OInf(D,tc_fun(C,tc_bool)),C).
% 213.01/213.15 ** KEPT (pick-wt=18): 302 [] c_in(A,c_Complete__Lattice_OSup__class_OSup(B,tc_fun(C,tc_bool)),C)| -c_in(A,D,C)| -c_in(D,B,tc_fun(C,tc_bool)).
% 213.01/213.15 ** KEPT (pick-wt=28): 303 [] 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.
% 213.01/213.15 ** KEPT (pick-wt=28): 304 [] 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.
% 213.01/213.15 ** KEPT (pick-wt=12): 305 [] -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)).
% 213.01/213.15 ** KEPT (pick-wt=12): 306 [] -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)).
% 213.01/213.15 ** KEPT (pick-wt=25): 307 [] 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)).
% 213.01/213.15 ** 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_Omkbot(B,A),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 213.01/213.15 ** 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_Omkbot(C,B),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 213.01/213.15 ** KEPT (pick-wt=28): 310 [] 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.
% 213.01/213.15 ** KEPT (pick-wt=28): 311 [] 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.
% 213.01/213.15 ** KEPT (pick-wt=25): 312 [] 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)).
% 213.01/213.15 ** KEPT (pick-wt=18): 313 [] 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)).
% 213.01/213.15 ** KEPT (pick-wt=18): 314 [] 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)).
% 213.01/213.15 ** KEPT (pick-wt=22): 315 [] 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.
% 213.01/213.15 ** KEPT (pick-wt=19): 316 [] c_in(A,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))| -c_in(c_Relation_Oconverse(A,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)).
% 213.01/213.15 ** KEPT (pick-wt=19): 317 [] c_in(c_Relation_Oconverse(A,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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)).
% 213.01/213.15 ** KEPT (pick-wt=22): 318 [] 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.
% 213.01/213.15 ** KEPT (pick-wt=24): 319 [] 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).
% 213.01/213.15 Following clause subsumed by 319 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).
% 213.01/213.15 ** KEPT (pick-wt=22): 320 [] 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).
% 213.01/213.15 Following clause subsumed by 320 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).
% 213.01/213.15 ** KEPT (pick-wt=22): 321 [] 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).
% 213.01/213.15 Following clause subsumed by 321 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).
% 213.01/213.15 ** KEPT (pick-wt=16): 322 [] c_in(A,B,C)| -c_in(c_Pair(A,D,C,C),c_Relation_OId__on(B,C),tc_prod(C,C)).
% 213.01/213.15 ** KEPT (pick-wt=16): 323 [] c_in(c_Pair(A,A,B,B),c_Relation_OId__on(C,B),tc_prod(B,B))| -c_in(A,C,B).
% 213.01/213.15 ** KEPT (pick-wt=18): 324 [] 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).
% 213.01/213.15 ** KEPT (pick-wt=18): 325 [] 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).
% 213.01/213.15 ** KEPT (pick-wt=17): 326 [] c_in(A,c_Relation_ORange(B,C,D),D)| -c_in(c_Pair(E,A,C,D),B,tc_prod(C,D)).
% 213.01/213.15 Following clause subsumed by 326 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)).
% 213.01/213.15 ** KEPT (pick-wt=17): 327 [] c_in(A,c_Relation_ODomain(B,C,D),C)| -c_in(c_Pair(A,E,C,D),B,tc_prod(C,D)).
% 213.01/213.15 Following clause subsumed by 327 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)).
% 213.01/213.15 ** KEPT (pick-wt=20): 328 [] 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)).
% 213.01/213.15 ** KEPT (pick-wt=18): 329 [] 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)).
% 213.01/213.15 ** KEPT (pick-wt=35): 330 [] 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).
% 213.01/213.15 ** KEPT (pick-wt=18): 331 [] 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).
% 213.01/213.15 ** KEPT (pick-wt=18): 332 [] 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).
% 213.01/213.15 ** KEPT (pick-wt=18): 333 [] 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).
% 213.01/213.15 Following clause subsumed by 331 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).
% 213.01/213.15 ** KEPT (pick-wt=24): 334 [] -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.
% 213.01/213.15 ** KEPT (pick-wt=37): 336 [copy,335,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)).
% 213.01/213.15 ** KEPT (pick-wt=37): 338 [copy,337,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)).
% 213.01/213.15 ** KEPT (pick-wt=40): 339 [] 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.
% 213.01/213.15 ** KEPT (pick-wt=40): 340 [] 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.
% 213.01/213.15 ** KEPT (pick-wt=34): 341 [] -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)).
% 213.01/213.15 ** KEPT (pick-wt=47): 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(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)).
% 213.01/213.15 ** KEPT (pick-wt=37): 344 [copy,343,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)).
% 213.01/213.15 ** KEPT (pick-wt=50): 345 [] 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.
% 213.01/213.15 ** KEPT (pick-wt=50): 346 [] 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.
% 213.01/213.15 ** KEPT (pick-wt=27): 348 [copy,347,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)).
% 213.01/213.15 ** KEPT (pick-wt=57): 349 [] 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.
% 213.01/213.15 ** KEPT (pick-wt=34): 351 [copy,350,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)).
% 213.01/213.15 ** KEPT (pick-wt=37): 352 [] -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)).
% 213.01/213.15 ** KEPT (pick-wt=43): 353 [] 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.
% 213.01/213.15 ** KEPT (pick-wt=24): 354 [] -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.
% 213.01/213.15 ** KEPT (pick-wt=40): 355 [] -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)).
% 213.01/213.16 Following clause subsumed by 344 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)).
% 213.01/213.16 ** KEPT (pick-wt=40): 356 [] 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.
% 213.01/213.16 ** KEPT (pick-wt=40): 357 [] 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.
% 213.01/213.16 ** KEPT (pick-wt=34): 358 [] -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)).
% 213.01/213.16 Following clause subsumed by 336 during input processing: 0 [] -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)).
% 213.01/213.16 Following clause subsumed by 338 during input processing: 0 [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)).
% 213.01/213.16 ** KEPT (pick-wt=50): 359 [] 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.
% 213.08/213.17 ** KEPT (pick-wt=50): 360 [] 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.
% 213.08/213.17 ** KEPT (pick-wt=24): 362 [copy,361,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)).
% 213.08/213.17 ** KEPT (pick-wt=57): 363 [] 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.
% 213.08/213.17 ** KEPT (pick-wt=34): 365 [copy,364,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)).
% 213.08/213.17 ** KEPT (pick-wt=37): 366 [] -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)).
% 213.08/213.17 ** KEPT (pick-wt=43): 367 [] 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.
% 213.08/213.17 ** KEPT (pick-wt=14): 368 [] c_Pair(A,B,C,D)!=c_Pair(E,F,C,D)|B=F.
% 213.08/213.17 ** KEPT (pick-wt=14): 369 [] c_Pair(A,B,C,D)!=c_Pair(E,F,C,D)|A=E.
% 213.08/213.17 ** KEPT (pick-wt=31): 370 [] -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)).
% 213.08/213.17 ** KEPT (pick-wt=31): 371 [] 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)).
% 213.08/213.17 ** KEPT (pick-wt=8): 372 [] c_in(A,B,C)| -hBOOL(hAPP(B,A)).
% 213.08/213.17 ** KEPT (pick-wt=8): 373 [] hBOOL(hAPP(A,B))| -c_in(B,A,C).
% 213.08/213.17 ** KEPT (pick-wt=19): 374 [] v_thesis____| -c_in(A,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(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)).
% 213.08/213.17 ** KEPT (pick-wt=28): 375 [] -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)).
% 213.08/213.17 ** KEPT (pick-wt=3): 377 [copy,376,flip.1] v_b____!=v_a____.
% 213.08/213.17 ** KEPT (pick-wt=1): 378 [] -v_thesis____.
% 213.08/213.17 ** KEPT (pick-wt=8): 379 [] class_Finite__Set_Ofinite_Ofinite(tc_prod(A,B))| -class_Finite__Set_Ofinite_Ofinite(B)| -class_Finite__Set_Ofinite_Ofinite(A).
% 213.08/213.17 ** KEPT (pick-wt=6): 380 [] class_Complete__Lattice_Ocomplete__lattice(tc_fun(A,B))| -class_Complete__Lattice_Ocomplete__lattice(B).
% 213.08/213.17 ** KEPT (pick-wt=6): 381 [] class_Lattices_Oupper__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 213.08/213.17 ** KEPT (pick-wt=6): 382 [] class_Lattices_Olower__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 213.08/213.17 ** KEPT (pick-wt=6): 383 [] class_Lattices_Odistrib__lattice(tc_fun(A,B))| -class_Lattices_Odistrib__lattice(B).
% 213.08/213.17 ** KEPT (pick-wt=8): 384 [] class_Finite__Set_Ofinite_Ofinite(tc_fun(A,B))| -class_Finite__Set_Ofinite_Ofinite(B)| -class_Finite__Set_Ofinite_Ofinite(A).
% 213.08/213.17 ** KEPT (pick-wt=6): 385 [] class_Orderings_Opreorder(tc_fun(A,B))| -class_Orderings_Opreorder(B).
% 213.08/213.17 ** KEPT (pick-wt=6): 386 [] class_Lattices_Olattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 213.08/213.17 ** KEPT (pick-wt=6): 387 [] class_Orderings_Oorder(tc_fun(A,B))| -class_Orderings_Oorder(B).
% 213.08/213.17 ** KEPT (pick-wt=6): 388 [] class_HOL_Oord(tc_fun(A,B))| -class_HOL_Oord(B).
% 213.08/213.17 ** KEPT (pick-wt=7): 389 [] A=B| -c_fe_qual(A,B,C).
% 213.08/213.17 213 back subsumes 155.
% 213.08/213.17 262 back subsumes 256.
% 213.08/213.17 306 back subsumes 305.
% 213.08/213.17 309 back subsumes 308.
% 213.08/213.17 362 back subsumes 351.
% 213.08/213.17 375 back subsumes 370.
% 213.08/213.17
% 213.08/213.17 ------------> process sos:
% 213.08/213.17 ** KEPT (pick-wt=3): 440 [] A=A.
% 213.08/213.17 ** KEPT (pick-wt=5): 441 [] c_Relation_Otrans(c_Transitive__Closure_Otrancl(A,B),B).
% 213.08/213.17 ** KEPT (pick-wt=8): 442 [] c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_fun(B,tc_bool))=A.
% 213.08/213.17 ---> New Demodulator: 443 [new_demod,442] c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_fun(B,tc_bool))=A.
% 213.08/213.17 ** KEPT (pick-wt=28): 445 [copy,444,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(A,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 213.08/213.17 ---> New Demodulator: 446 [new_demod,445] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(A,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 213.08/213.17 ** KEPT (pick-wt=28): 448 [copy,447,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(D,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(A,D,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)).
% 213.08/213.17 ---> New Demodulator: 449 [new_demod,448] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(D,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(A,D,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)).
% 213.08/213.17 ** KEPT (pick-wt=27): 451 [copy,450,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).
% 213.08/213.17 ---> New Demodulator: 452 [new_demod,451] 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).
% 213.08/213.17 ** KEPT (pick-wt=15): 453 [] c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(A,c_Relation_OId(B),tc_fun(tc_prod(B,B),tc_bool)),B)=c_Transitive__Closure_Ortrancl(A,B).
% 213.08/213.17 ---> New Demodulator: 454 [new_demod,453] c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(A,c_Relation_OId(B),tc_fun(tc_prod(B,B),tc_bool)),B)=c_Transitive__Closure_Ortrancl(A,B).
% 213.08/213.17 ** KEPT (pick-wt=28): 455 [] c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(A,B),c_Transitive__Closure_Ortrancl(C,B),tc_fun(tc_prod(B,B),tc_bool)),c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(tc_prod(B,B),tc_bool)),B),tc_fun(tc_prod(B,B),tc_bool)).
% 213.08/213.17 ** KEPT (pick-wt=19): 457 [copy,456,flip.1] c_Set_Oinsert(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,B,D),C,tc_fun(D,tc_bool)).
% 213.08/213.17 ---> New Demodulator: 458 [new_demod,457] c_Set_Oinsert(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,B,D),C,tc_fun(D,tc_bool)).
% 213.08/213.17 ** KEPT (pick-wt=19): 460 [copy,459,demod,458] c_Lattices_Oupper__semilattice__class_Osup(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(B,A,D),C,tc_fun(D,tc_bool)).
% 213.08/213.17 ** KEPT (pick-wt=5): 461 [] c_Relation_Otrans(c_Transitive__Closure_Ortrancl(A,B),B).
% 213.08/213.17 ** KEPT (pick-wt=22): 463 [copy,462,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)).
% 213.08/213.17 ---> New Demodulator: 464 [new_demod,463] 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)).
% 213.08/213.17 ** KEPT (pick-wt=12): 465 [] c_Set_Oinsert(A,c_Set_Oinsert(A,B,C),C)=c_Set_Oinsert(A,B,C).
% 213.08/213.17 ---> New Demodulator: 466 [new_demod,465] c_Set_Oinsert(A,c_Set_Oinsert(A,B,C),C)=c_Set_Oinsert(A,B,C).
% 213.08/213.17 ** KEPT (pick-wt=21): 467 [] 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).
% 213.08/213.17 ---> New Demodulator: 468 [new_demod,467] 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).
% 213.08/213.17 ** KEPT (pick-wt=27): 469 [] c_Relation_OImage(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_prod(C,D),tc_bool)),E,C,D)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OImage(A,E,C,D),c_Relation_OImage(B,E,C,D),tc_fun(D,tc_bool)).
% 213.08/213.17 ** KEPT (pick-wt=25): 470 [] c_Relation_OImage(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D,E)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OImage(A,B,D,E),c_Relation_OImage(A,C,D,E),tc_fun(E,tc_bool)).
% 213.08/213.18 ** KEPT (pick-wt=15): 471 [] c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D).
% 213.08/213.18 ** KEPT (pick-wt=23): 472 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 213.08/213.18 ** KEPT (pick-wt=23): 473 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 213.08/213.18 ---> New Demodulator: 474 [new_demod,473] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 213.08/213.18 ** KEPT (pick-wt=15): 475 [] c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(A,B),c_Relation_OId(B),tc_fun(tc_prod(B,B),tc_bool))=c_Transitive__Closure_Ortrancl(A,B).
% 213.08/213.18 ---> New Demodulator: 476 [new_demod,475] c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(A,B),c_Relation_OId(B),tc_fun(tc_prod(B,B),tc_bool))=c_Transitive__Closure_Ortrancl(A,B).
% 213.08/213.18 ** KEPT (pick-wt=11): 477 [] c_lesse_quals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 213.08/213.18 ** KEPT (pick-wt=11): 478 [] c_lesse_quals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 213.08/213.18 ** KEPT (pick-wt=13): 479 [] 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)).
% 213.08/213.18 ** KEPT (pick-wt=53): 481 [copy,480,demod,474] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(D,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(D,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 213.08/213.18 ---> New Demodulator: 482 [new_demod,481] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(C,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(D,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(D,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 213.08/213.18 ** KEPT (pick-wt=10): 483 [] c_Relation_OField(c_Relation_Oconverse(A,B,B),B)=c_Relation_OField(A,B).
% 213.08/213.18 ---> New Demodulator: 484 [new_demod,483] c_Relation_OField(c_Relation_Oconverse(A,B,B),B)=c_Relation_OField(A,B).
% 213.08/213.18 ** KEPT (pick-wt=27): 486 [copy,485,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Product__Type_OSigma(A,B,C,D),c_Product__Type_OSigma(E,B,C,D),tc_fun(tc_prod(C,D),tc_bool))=c_Product__Type_OSigma(c_Lattices_Oupper__semilattice__class_Osup(A,E,tc_fun(C,tc_bool)),B,C,D).
% 213.08/213.18 ---> New Demodulator: 487 [new_demod,486] c_Lattices_Oupper__semilattice__class_Osup(c_Product__Type_OSigma(A,B,C,D),c_Product__Type_OSigma(E,B,C,D),tc_fun(tc_prod(C,D),tc_bool))=c_Product__Type_OSigma(c_Lattices_Oupper__semilattice__class_Osup(A,E,tc_fun(C,tc_bool)),B,C,D).
% 213.08/213.18 ** KEPT (pick-wt=26): 488 [] 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)).
% 213.08/213.18 ** KEPT (pick-wt=20): 489 [] 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).
% 213.08/213.18 ** KEPT (pick-wt=20): 490 [] 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).
% 213.08/213.18 ** KEPT (pick-wt=32): 491 [] c_Relation_Orel__comp(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_prod(C,D),tc_bool)),E,C,D,F)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(A,E,C,D,F),c_Relation_Orel__comp(B,E,C,D,F),tc_fun(tc_prod(C,F),tc_bool)).
% 213.08/213.18 ** KEPT (pick-wt=32): 492 [] c_Relation_Orel__comp(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(tc_prod(D,E),tc_bool)),F,D,E)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(A,B,F,D,E),c_Relation_Orel__comp(A,C,F,D,E),tc_fun(tc_prod(F,E),tc_bool)).
% 213.08/213.18 ** KEPT (pick-wt=5): 493 [] c_Relation_Otrans(c_Relation_OId__on(A,B),B).
% 213.08/213.18 ** KEPT (pick-wt=21): 494 [] c_Relation_OField(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_prod(C,C),tc_bool)),C)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OField(A,C),c_Relation_OField(B,C),tc_fun(C,tc_bool)).
% 213.08/213.18 ---> New Demodulator: 495 [new_demod,494] c_Relation_OField(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_prod(C,C),tc_bool)),C)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OField(A,C),c_Relation_OField(B,C),tc_fun(C,tc_bool)).
% 213.08/213.18 ** KEPT (pick-wt=16): 497 [copy,496,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(v_r,t_a,t_a),c_Relation_ORange(v_r,t_a,t_a),tc_fun(t_a,tc_bool))=c_Relation_OField(v_r,t_a).
% 213.08/213.18 ---> New Demodulator: 498 [new_demod,497] c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(v_r,t_a,t_a),c_Relation_ORange(v_r,t_a,t_a),tc_fun(t_a,tc_bool))=c_Relation_OField(v_r,t_a).
% 213.08/213.18 ** KEPT (pick-wt=13): 499 [] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_fun(C,tc_bool)).
% 213.08/213.18 ** KEPT (pick-wt=24): 500 [] c_Relation_ODomain(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_prod(C,D),tc_bool)),C,D)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(A,C,D),c_Relation_ODomain(B,C,D),tc_fun(C,tc_bool)).
% 213.08/213.18 ---> New Demodulator: 501 [new_demod,500] c_Relation_ODomain(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_prod(C,D),tc_bool)),C,D)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(A,C,D),c_Relation_ODomain(B,C,D),tc_fun(C,tc_bool)).
% 213.08/213.18 ** KEPT (pick-wt=18): 502 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)).
% 213.08/213.18 ---> New Demodulator: 503 [new_demod,502] c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)).
% 213.08/213.18 ** KEPT (pick-wt=27): 504 [] 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)).
% 213.08/213.18 ** KEPT (pick-wt=25): 505 [] c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(A,B),c_Transitive__Closure_Ortrancl(C,B),tc_fun(tc_prod(B,B),tc_bool)),B)=c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(tc_prod(B,B),tc_bool)),B).
% 213.08/213.18 ---> New Demodulator: 506 [new_demod,505] c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(A,B),c_Transitive__Closure_Ortrancl(C,B),tc_fun(tc_prod(B,B),tc_bool)),B)=c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(tc_prod(B,B),tc_bool)),B).
% 213.08/213.18 ** KEPT (pick-wt=21): 507 [] 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).
% 213.08/213.18 ---> New Demodulator: 508 [new_demod,507] 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).
% 213.08/213.18 ** KEPT (pick-wt=7): 509 [] c_in(A,c_Set_Oinsert(A,B,C),C).
% 213.08/213.18 Following clause subsumed by 509 during input processing: 0 [] c_in(A,c_Set_Oinsert(A,B,C),C).
% 213.08/213.18 Following clause subsumed by 509 during input processing: 0 [] c_in(A,c_Set_Oinsert(A,B,C),C).
% 213.08/213.18 ** KEPT (pick-wt=15): 510 [] c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otrancl(A,B),c_Relation_OId(B),tc_fun(tc_prod(B,B),tc_bool))=c_Transitive__Closure_Ortrancl(A,B).
% 213.08/213.18 ---> New Demodulator: 511 [new_demod,510] c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otrancl(A,B),c_Relation_OId(B),tc_fun(tc_prod(B,B),tc_bool))=c_Transitive__Closure_Ortrancl(A,B).
% 213.08/213.18 ** KEPT (pick-wt=15): 512 [] c_Transitive__Closure_Otrancl(c_Lattices_Oupper__semilattice__class_Osup(A,c_Relation_OId(B),tc_fun(tc_prod(B,B),tc_bool)),B)=c_Transitive__Closure_Ortrancl(A,B).
% 213.08/213.18 ---> New Demodulator: 513 [new_demod,512] c_Transitive__Closure_Otrancl(c_Lattices_Oupper__semilattice__class_Osup(A,c_Relation_OId(B),tc_fun(tc_prod(B,B),tc_bool)),B)=c_Transitive__Closure_Ortrancl(A,B).
% 213.08/213.18 ** KEPT (pick-wt=27): 514 [] 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)).
% 213.08/213.18 ** KEPT (pick-wt=9): 515 [] c_lesse_quals(A,c_Set_Oinsert(B,A,C),tc_fun(C,tc_bool)).
% 213.08/213.18 ** KEPT (pick-wt=28): 516 [] 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)).
% 213.08/213.18 ** KEPT (pick-wt=28): 517 [] 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)).
% 213.08/213.18 Following clause subsumed by 440 during input processing: 0 [demod,452] 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).
% 213.08/213.18 ** KEPT (pick-wt=23): 518 [] 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)).
% 213.08/213.18 ---> New Demodulator: 519 [new_demod,518] 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)).
% 213.08/213.18 ** KEPT (pick-wt=23): 520 [] 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)).
% 213.08/213.18 ** KEPT (pick-wt=4): 521 [] c_Relation_Otrans(c_Relation_OId(A),A).
% 213.08/213.18 ** KEPT (pick-wt=58): 523 [copy,522,demod,458,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(c_Pair(A,B,C,D),c_Product__Type_OSigma(E,c_COMBK(c_Set_Oinsert(B,F,D),tc_fun(D,tc_bool),C),C,D),tc_prod(C,D)),c_Product__Type_OSigma(c_Set_Oinsert(A,E,C),c_COMBK(F,tc_fun(D,tc_bool),C),C,D),tc_fun(tc_prod(C,D),tc_bool))=c_Product__Type_OSigma(c_Set_Oinsert(A,E,C),c_COMBK(c_Set_Oinsert(B,F,D),tc_fun(D,tc_bool),C),C,D).
% 213.08/213.18 ---> New Demodulator: 524 [new_demod,523] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(c_Pair(A,B,C,D),c_Product__Type_OSigma(E,c_COMBK(c_Set_Oinsert(B,F,D),tc_fun(D,tc_bool),C),C,D),tc_prod(C,D)),c_Product__Type_OSigma(c_Set_Oinsert(A,E,C),c_COMBK(F,tc_fun(D,tc_bool),C),C,D),tc_fun(tc_prod(C,D),tc_bool))=c_Product__Type_OSigma(c_Set_Oinsert(A,E,C),c_COMBK(c_Set_Oinsert(B,F,D),tc_fun(D,tc_bool),C),C,D).
% 213.08/213.18 ** KEPT (pick-wt=19): 526 [copy,525,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).
% 213.08/213.18 ---> New Demodulator: 527 [new_demod,526] 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).
% 213.08/213.18 ** KEPT (pick-wt=26): 528 [] c_Relation_Oconverse(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_prod(C,D),tc_bool)),C,D)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Oconverse(A,C,D),c_Relation_Oconverse(B,C,D),tc_fun(tc_prod(D,C),tc_bool)).
% 213.08/213.18 ** KEPT (pick-wt=11): 529 [] c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),A,tc_fun(C,tc_bool)).
% 213.08/213.18 ** KEPT (pick-wt=11): 530 [] c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)).
% 213.08/213.18 Following clause subsumed by 440 during input processing: 0 [demod,487] c_Product__Type_OSigma(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),c_COMBK(D,tc_fun(E,tc_bool),C),C,E)=c_Product__Type_OSigma(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),c_COMBK(D,tc_fun(E,tc_bool),C),C,E).
% 213.08/213.18 ** KEPT (pick-wt=28): 531 [] c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(D,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 213.08/213.18 ---> New Demodulator: 532 [new_demod,531] c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(D,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 213.08/213.18 ** KEPT (pick-wt=28): 533 [] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(A,D,tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 213.08/213.18 ---> New Demodulator: 534 [new_demod,533] c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(A,D,tc_fun(C,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)).
% 213.08/213.18 ** KEPT (pick-wt=7): 535 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),A)).
% 213.08/213.18 ** KEPT (pick-wt=18): 536 [] 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)).
% 213.08/213.18 ---> New Demodulator: 537 [new_demod,536] 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)).
% 213.08/213.18 ** KEPT (pick-wt=24): 538 [] c_Relation_ORange(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_prod(C,D),tc_bool)),C,D)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ORange(A,C,D),c_Relation_ORange(B,C,D),tc_fun(D,tc_bool)).
% 213.08/213.18 ---> New Demodulator: 539 [new_demod,538] c_Relation_ORange(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_prod(C,D),tc_bool)),C,D)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ORange(A,C,D),c_Relation_ORange(B,C,D),tc_fun(D,tc_bool)).
% 213.08/213.18 ** KEPT (pick-wt=8): 540 [] c_Lattices_Olower__semilattice__class_Oinf(A,A,tc_fun(B,tc_bool))=A.
% 213.08/213.18 ---> New Demodulator: 541 [new_demod,540] c_Lattices_Olower__semilattice__class_Oinf(A,A,tc_fun(B,tc_bool))=A.
% 213.08/213.18 ** KEPT (pick-wt=16): 542 [] c_Relation_OField(A,B)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(A,B,B),c_Relation_ORange(A,B,B),tc_fun(B,tc_bool)).
% 213.08/213.18 ** KEPT (pick-wt=25): 543 [] c_Set_Oimage(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D,E)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(A,B,D,E),c_Set_Oimage(A,C,D,E),tc_fun(E,tc_bool)).
% 213.08/213.18 ** KEPT (pick-wt=19): 545 [copy,544,flip.1] c_Lattices_Oupper__semilattice__class_Osup(A,c_Relation_Orel__comp(c_Transitive__Closure_Otrancl(A,B),A,B,B,B),tc_fun(tc_prod(B,B),tc_bool))=c_Transitive__Closure_Otrancl(A,B).
% 213.08/213.18 ---> New Demodulator: 546 [new_demod,545] c_Lattices_Oupper__semilattice__class_Osup(A,c_Relation_Orel__comp(c_Transitive__Closure_Otrancl(A,B),A,B,B,B),tc_fun(tc_prod(B,B),tc_bool))=c_Transitive__Closure_Otrancl(A,B).
% 213.08/213.18 ** KEPT (pick-wt=13): 547 [] c_Relation_Osym(c_Lattices_Oupper__semilattice__class_Osup(A,c_Relation_Oconverse(A,B,B),tc_fun(tc_prod(B,B),tc_bool)),B).
% 213.08/213.18 ** KEPT (pick-wt=13): 548 [] 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).
% 213.08/213.18 ** KEPT (pick-wt=14): 549 [] 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)).
% 213.08/213.18 Following clause subsumed by 440 during input processing: 0 [demod,511] c_Transitive__Closure_Ortrancl(A,B)=c_Transitive__Closure_Ortrancl(A,B).
% 213.08/213.18 ** KEPT (pick-wt=20): 551 [copy,550,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OId(A),c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(B,A),B,A,A,A),tc_fun(tc_prod(A,A),tc_bool))=c_Transitive__Closure_Ortrancl(B,A).
% 213.08/213.18 ---> New Demodulator: 552 [new_demod,551] c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OId(A),c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(B,A),B,A,A,A),tc_fun(tc_prod(A,A),tc_bool))=c_Transitive__Closure_Ortrancl(B,A).
% 213.08/213.18 ** KEPT (pick-wt=24): 553 [] 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).
% 213.08/213.18 ** KEPT (pick-wt=23): 554 [] 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)).
% 213.08/213.18 ** KEPT (pick-wt=12): 555 [] c_Transitive__Closure_Otrancl(A,B)=c_Relation_Orel__comp(A,c_Transitive__Closure_Ortrancl(A,B),B,B,B).
% 213.08/213.18 ---> New Demodulator: 556 [new_demod,555] c_Transitive__Closure_Otrancl(A,B)=c_Relation_Orel__comp(A,c_Transitive__Closure_Ortrancl(A,B),B,B,B).
% 213.08/213.18 ** KEPT (pick-wt=17): 558 [copy,557,demod,556,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).
% 213.08/213.18 ---> New Demodulator: 559 [new_demod,558] 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).
% 213.08/213.18 ** KEPT (pick-wt=12): 560 [] c_in(c_Pair(A,A,B,B),c_Transitive__Closure_Ortrancl(C,B),tc_prod(B,B)).
% 213.08/213.18 Following clause subsumed by 560 during input processing: 0 [] c_in(c_Pair(A,A,B,B),c_Transitive__Closure_Ortrancl(C,B),tc_prod(B,B)).
% 213.08/213.18 ** KEPT (pick-wt=9): 561 [] c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Ortrancl(A,B),B)=c_Transitive__Closure_Ortrancl(A,B).
% 213.08/213.18 ---> New Demodulator: 562 [new_demod,561] c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Ortrancl(A,B),B)=c_Transitive__Closure_Ortrancl(A,B).
% 213.08/213.18 ** KEPT (pick-wt=14): 564 [copy,563,demod,556] 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).
% 213.08/213.18 ---> New Demodulator: 565 [new_demod,564] 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).
% 213.08/213.18 ** KEPT (pick-wt=6): 566 [] c_lesse_quals(A,A,tc_fun(B,tc_bool)).
% 213.08/213.18 Following clause subsumed by 566 during input processing: 0 [] c_lesse_quals(A,A,tc_fun(B,tc_bool)).
% 213.08/213.18 ** KEPT (pick-wt=13): 567 [] c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(A,B,B),B)=c_Relation_Oconverse(c_Transitive__Closure_Ortrancl(A,B),B,B).
% 213.08/213.18 ---> New Demodulator: 568 [new_demod,567] c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(A,B,B),B)=c_Relation_Oconverse(c_Transitive__Closure_Ortrancl(A,B),B,B).
% 213.08/213.18 ** KEPT (pick-wt=14): 569 [] 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).
% 213.08/213.18 ---> New Demodulator: 570 [new_demod,569] 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).
% 213.08/213.18 Following clause subsumed by 440 during input processing: 0 [demod,556,562,570] c_Transitive__Closure_Ortrancl(A,B)=c_Transitive__Closure_Ortrancl(A,B).
% 213.08/213.18 Following clause subsumed by 440 during input processing: 0 [demod,559] 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).
% 213.08/213.18 ** KEPT (pick-wt=19): 571 [] 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)).
% 213.08/213.18 ** KEPT (pick-wt=8): 572 [] hAPP(c_COMBK(A,B,C),D)=A.
% 213.08/213.18 ---> New Demodulator: 573 [new_demod,572] hAPP(c_COMBK(A,B,C),D)=A.
% 213.08/213.18 ** KEPT (pick-wt=19): 574 [] 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).
% 213.08/213.18 ** KEPT (pick-wt=19): 575 [] 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).
% 213.08/213.18 ** KEPT (pick-wt=17): 576 [] c_in(A,c_Complete__Lattice_OInf__class_OInf(B,tc_fun(C,tc_bool)),C)|c_in(c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1(A,B,C),B,tc_fun(C,tc_bool)).
% 213.08/213.18 ** KEPT (pick-wt=29): 577 [] c_Recdef_Ocut(A,B,C,D,E)=c_Recdef_Ocut(F,B,C,D,E)|c_in(c_Pair(c_List_Osko__Recdef__Xcuts__e_q__1__1(A,F,B,C,D,E),C,D,D),B,tc_prod(D,D)).
% 213.08/213.18 ** KEPT (pick-wt=12): 579 [copy,578,flip.1] c_Relation_ODomain(c_Relation_Oconverse(v_r,t_a,t_b),t_b,t_a)=c_Relation_ORange(v_r,t_a,t_b).
% 213.08/213.18 ---> New Demodulator: 580 [new_demod,579] c_Relation_ODomain(c_Relation_Oconverse(v_r,t_a,t_b),t_b,t_a)=c_Relation_ORange(v_r,t_a,t_b).
% 213.08/213.18 Following clause subsumed by 560 during input processing: 0 [] 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)).
% 213.08/213.18 ** KEPT (pick-wt=19): 581 [] 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)).
% 213.08/213.18 ** KEPT (pick-wt=19): 582 [] 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).
% 213.08/213.18 ** KEPT (pick-wt=16): 584 [copy,583,demod,556] c_Relation_ODomain(c_Relation_Orel__comp(A,c_Transitive__Closure_Ortrancl(A,B),B,B,B),B,B)=c_Relation_ODomain(A,B,B).
% 213.08/213.18 ---> New Demodulator: 585 [new_demod,584] c_Relation_ODomain(c_Relation_Orel__comp(A,c_Transitive__Closure_Ortrancl(A,B),B,B,B),B,B)=c_Relation_ODomain(A,B,B).
% 213.08/213.18 ** KEPT (pick-wt=4): 586 [] c_Relation_Osym(c_Relation_OId(A),A).
% 213.08/213.18 ** KEPT (pick-wt=9): 587 [] c_Relation_Orel__comp(c_Relation_OId(A),B,A,A,C)=B.
% 213.08/213.18 ---> New Demodulator: 588 [new_demod,587] c_Relation_Orel__comp(c_Relation_OId(A),B,A,A,C)=B.
% 213.08/213.18 ** KEPT (pick-wt=9): 589 [] c_Relation_Orel__comp(A,c_Relation_OId(B),C,B,B)=A.
% 213.08/213.18 ---> New Demodulator: 590 [new_demod,589] c_Relation_Orel__comp(A,c_Relation_OId(B),C,B,B)=A.
% 213.08/213.18 ** KEPT (pick-wt=8): 591 [] c_Relation_OImage(c_Relation_OId(A),B,A,A)=B.
% 213.08/213.18 ---> New Demodulator: 592 [new_demod,591] c_Relation_OImage(c_Relation_OId(A),B,A,A)=B.
% 213.08/213.18 ** KEPT (pick-wt=8): 593 [] c_Relation_ODomain(c_Relation_OId__on(A,B),B,B)=A.
% 213.08/213.18 ---> New Demodulator: 594 [new_demod,593] c_Relation_ODomain(c_Relation_OId__on(A,B),B,B)=A.
% 213.08/213.18 ** KEPT (pick-wt=16): 596 [copy,595,demod,556] c_Relation_ORange(c_Relation_Orel__comp(A,c_Transitive__Closure_Ortrancl(A,B),B,B,B),B,B)=c_Relation_ORange(A,B,B).
% 213.08/213.18 ---> New Demodulator: 597 [new_demod,596] c_Relation_ORange(c_Relation_Orel__comp(A,c_Transitive__Closure_Ortrancl(A,B),B,B,B),B,B)=c_Relation_ORange(A,B,B).
% 213.08/213.18 ** KEPT (pick-wt=22): 598 [] 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).
% 213.08/213.18 ---> New Demodulator: 599 [new_demod,598] 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).
% 213.08/213.18 ** KEPT (pick-wt=5): 600 [] c_Relation_Osym(c_Relation_OId__on(A,B),B).
% 213.08/213.18 ** KEPT (pick-wt=6): 601 [] c_Relation_Orefl__on(A,c_Relation_OId__on(A,B),B).
% 213.08/213.18 ** KEPT (pick-wt=8): 602 [] c_Relation_Oconverse(c_Relation_OId(A),A,A)=c_Relation_OId(A).
% 213.08/213.18 ---> New Demodulator: 603 [new_demod,602] c_Relation_Oconverse(c_Relation_OId(A),A,A)=c_Relation_OId(A).
% 213.08/213.18 ** KEPT (pick-wt=23): 604 [] 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).
% 213.08/213.18 ---> New Demodulator: 605 [new_demod,604] 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).
% 213.08/213.18 ** KEPT (pick-wt=17): 606 [] 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).
% 213.08/213.18 ---> New Demodulator: 607 [new_demod,606] 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).
% 213.08/213.18 ** KEPT (pick-wt=29): 609 [copy,608,demod,556,568,556,599,flip.1] c_Relation_Orel__comp(c_Relation_Oconverse(c_Transitive__Closure_Ortrancl(A,B),B,B),c_Relation_Oconverse(A,B,B),B,B,B)=c_Relation_Orel__comp(c_Relation_Oconverse(A,B,B),c_Relation_Oconverse(c_Transitive__Closure_Ortrancl(A,B),B,B),B,B,B).
% 213.08/213.18 ---> New Demodulator: 610 [new_demod,609] c_Relation_Orel__comp(c_Relation_Oconverse(c_Transitive__Closure_Ortrancl(A,B),B,B),c_Relation_Oconverse(A,B,B),B,B,B)=c_Relation_Orel__comp(c_Relation_Oconverse(A,B,B),c_Relation_Oconverse(c_Transitive__Closure_Ortrancl(A,B),B,B),B,B,B).
% 213.08/213.18 ** KEPT (pick-wt=10): 611 [] c_Relation_Oconverse(c_Relation_OId__on(A,B),B,B)=c_Relation_OId__on(A,B).
% 213.08/213.18 ---> New Demodulator: 612 [new_demod,611] c_Relation_Oconverse(c_Relation_OId__on(A,B),B,B)=c_Relation_OId__on(A,B).
% 213.08/213.18 ** KEPT (pick-wt=12): 613 [] c_Relation_ORange(c_Relation_Oconverse(A,B,C),C,B)=c_Relation_ODomain(A,B,C).
% 213.08/213.18 ---> New Demodulator: 614 [new_demod,613] c_Relation_ORange(c_Relation_Oconverse(A,B,C),C,B)=c_Relation_ODomain(A,B,C).
% 213.08/213.18 ** KEPT (pick-wt=8): 615 [] c_Relation_ORange(c_Relation_OId__on(A,B),B,B)=A.
% 213.08/213.18 ---> New Demodulator: 616 [new_demod,615] c_Relation_ORange(c_Relation_OId__on(A,B),B,B)=A.
% 213.08/213.18 ** KEPT (pick-wt=9): 617 [] c_Relation_Oconverse(c_Relation_Oconverse(A,B,C),C,B)=A.
% 213.08/213.18 ---> New Demodulator: 618 [new_demod,617] c_Relation_Oconverse(c_Relation_Oconverse(A,B,C),C,B)=A.
% 213.08/213.18 ** KEPT (pick-wt=12): 619 [] c_Relation_ODomain(c_Relation_Oconverse(A,B,C),C,B)=c_Relation_ORange(A,B,C).
% 213.08/213.18 ---> New Demodulator: 620 [new_demod,619] c_Relation_ODomain(c_Relation_Oconverse(A,B,C),C,B)=c_Relation_ORange(A,B,C).
% 213.08/213.18 Following clause subsumed by 440 during input processing: 0 [demod,620] c_Relation_ORange(A,B,C)=c_Relation_ORange(A,B,C).
% 213.08/213.18 ** KEPT (pick-wt=11): 621 [] c_in(c_Pair(A,A,B,B),c_Relation_OId(B),tc_prod(B,B)).
% 213.08/213.18 Following clause subsumed by 621 during input processing: 0 [] c_in(c_Pair(A,A,B,B),c_Relation_OId(B),tc_prod(B,B)).
% 213.08/213.18 ** KEPT (pick-wt=18): 622 [] 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)).
% 213.08/213.18 ** KEPT (pick-wt=15): 624 [copy,623,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)).
% 213.08/213.18 ** KEPT (pick-wt=15): 625 [] c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(A,B),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|A=B.
% 213.08/213.18 ** KEPT (pick-wt=13): 626 [] c_in(v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(A,B),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|A=B.
% 213.08/213.18 ** KEPT (pick-wt=8): 627 [] c_in(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)).
% 213.08/213.19 ** KEPT (pick-wt=2): 628 [] class_Complete__Lattice_Ocomplete__lattice(tc_bool).
% 213.08/213.19 ** KEPT (pick-wt=2): 629 [] class_Lattices_Oupper__semilattice(tc_bool).
% 213.08/213.19 ** KEPT (pick-wt=2): 630 [] class_Lattices_Olower__semilattice(tc_bool).
% 213.08/213.19 ** KEPT (pick-wt=2): 631 [] class_Lattices_Odistrib__lattice(tc_bool).
% 213.08/213.19 ** KEPT (pick-wt=2): 632 [] class_Finite__Set_Ofinite_Ofinite(tc_bool).
% 213.08/213.19 ** KEPT (pick-wt=2): 633 [] class_Orderings_Opreorder(tc_bool).
% 213.08/213.19 ** KEPT (pick-wt=2): 634 [] class_Lattices_Olattice(tc_bool).
% 213.08/213.19 ** KEPT (pick-wt=2): 635 [] class_Orderings_Oorder(tc_bool).
% 213.08/213.19 ** KEPT (pick-wt=2): 636 [] class_HOL_Oord(tc_bool).
% 213.08/213.19 ** KEPT (pick-wt=4): 637 [] c_fe_qual(A,A,B).
% 213.08/213.19 Following clause subsumed by 440 during input processing: 0 [copy,440,flip.1] A=A.
% 213.08/213.19 440 back subsumes 436.
% 213.08/213.19 440 back subsumes 435.
% 213.08/213.19 440 back subsumes 434.
% 213.08/213.19 440 back subsumes 433.
% 213.08/213.19 440 back subsumes 432.
% 213.08/213.19 440 back subsumes 430.
% 213.08/213.19 440 back subsumes 426.
% 213.08/213.19 440 back subsumes 423.
% 213.08/213.19 440 back subsumes 419.
% 213.08/213.19 440 back subsumes 418.
% 213.08/213.19 440 back subsumes 410.
% 213.08/213.19 440 back subsumes 409.
% 213.08/213.19 440 back subsumes 396.
% 213.08/213.19 >>>> Starting back demodulation with 443.
% 213.08/213.19 >> back demodulating 403 with 443.
% 213.08/213.19 >> back demodulating 400 with 443.
% 213.08/213.19 >> back demodulating 399 with 443.
% 213.08/213.19 >> back demodulating 398 with 443.
% 213.08/213.19 >> back demodulating 397 with 443.
% 213.08/213.19 >> back demodulating 395 with 443.
% 213.08/213.19 >> back demodulating 391 with 443.
% 213.08/213.19 >> back demodulating 390 with 443.
% 213.08/213.19 >>>> Starting back demodulation with 446.
% 213.08/213.19 >>>> Starting back demodulation with 449.
% 213.08/213.19 >>>> Starting back demodulation with 452.
% 213.08/213.19 >>>> Starting back demodulation with 454.
% 213.08/213.19 >>>> Starting back demodulation with 458.
% 213.08/213.19 ** KEPT (pick-wt=19): 638 [copy,460,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,B,C),D,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,c_Set_Oinsert(A,D,C),tc_fun(C,tc_bool)).
% 213.08/213.19 >>>> Starting back demodulation with 464.
% 213.08/213.19 >> back demodulating 105 with 464.
% 213.08/213.19 >> back demodulating 103 with 464.
% 213.08/213.19 >>>> Starting back demodulation with 466.
% 213.08/213.19 >>>> Starting back demodulation with 468.
% 213.08/213.19 ** KEPT (pick-wt=27): 641 [copy,469,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OImage(A,B,C,D),c_Relation_OImage(E,B,C,D),tc_fun(D,tc_bool))=c_Relation_OImage(c_Lattices_Oupper__semilattice__class_Osup(A,E,tc_fun(tc_prod(C,D),tc_bool)),B,C,D).
% 213.08/213.19 ** KEPT (pick-wt=25): 642 [copy,470,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OImage(A,B,C,D),c_Relation_OImage(A,E,C,D),tc_fun(D,tc_bool))=c_Relation_OImage(A,c_Lattices_Oupper__semilattice__class_Osup(B,E,tc_fun(C,tc_bool)),C,D).
% 213.08/213.19 Following clause subsumed by 471 during input processing: 0 [copy,471,flip.1] c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D).
% 213.08/213.19 Following clause subsumed by 472 during input processing: 0 [copy,472,flip.1] c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 213.08/213.19 >>>> Starting back demodulation with 474.
% 213.08/213.19 >> back demodulating 137 with 474.
% 213.08/213.19 >> back demodulating 136 with 474.
% 213.08/213.19 >>>> Starting back demodulation with 476.
% 213.08/213.19 Following clause subsumed by 479 during input processing: 0 [copy,479,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)).
% 213.08/213.19 >>>> Starting back demodulation with 482.
% 213.08/213.19 >>>> Starting back demodulation with 484.
% 213.08/213.19 >>>> Starting back demodulation with 487.
% 213.08/213.19 ** KEPT (pick-wt=26): 645 [copy,488,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).
% 213.08/213.19 ** KEPT (pick-wt=32): 646 [copy,491,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(A,B,C,D,E),c_Relation_Orel__comp(F,B,C,D,E),tc_fun(tc_prod(C,E),tc_bool))=c_Relation_Orel__comp(c_Lattices_Oupper__semilattice__class_Osup(A,F,tc_fun(tc_prod(C,D),tc_bool)),B,C,D,E).
% 213.08/213.19 ** KEPT (pick-wt=32): 647 [copy,492,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(A,B,C,D,E),c_Relation_Orel__comp(A,F,C,D,E),tc_fun(tc_prod(C,E),tc_bool))=c_Relation_Orel__comp(A,c_Lattices_Oupper__semilattice__class_Osup(B,F,tc_fun(tc_prod(D,E),tc_bool)),C,D,E).
% 213.08/213.19 >>>> Starting back demodulation with 495.
% 213.08/213.19 >>>> Starting back demodulation with 498.
% 213.08/213.19 Following clause subsumed by 499 during input processing: 0 [copy,499,flip.1] c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_fun(C,tc_bool)).
% 213.08/213.19 >>>> Starting back demodulation with 501.
% 213.08/213.19 >>>> Starting back demodulation with 503.
% 213.08/213.19 >>>> Starting back demodulation with 506.
% 213.08/213.19 >>>> Starting back demodulation with 508.
% 213.08/213.19 >>>> Starting back demodulation with 511.
% 213.08/213.19 >>>> Starting back demodulation with 513.
% 213.08/213.19 >>>> Starting back demodulation with 519.
% 213.08/213.19 >> back demodulating 481 with 519.
% 213.08/213.19 Following clause subsumed by 520 during input processing: 0 [copy,520,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)).
% 213.08/213.19 >>>> Starting back demodulation with 524.
% 213.08/213.19 >>>> Starting back demodulation with 527.
% 213.08/213.19 >> back demodulating 38 with 527.
% 213.08/213.19 ** KEPT (pick-wt=26): 651 [copy,528,flip.1] c_Lattices_Oupper__semilattice__class_Osup(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_Oupper__semilattice__class_Osup(A,D,tc_fun(tc_prod(B,C),tc_bool)),B,C).
% 213.08/213.19 >>>> Starting back demodulation with 532.
% 213.08/213.19 >> back demodulating 448 with 532.
% 213.08/213.19 >> back demodulating 445 with 532.
% 213.08/213.19 >>>> Starting back demodulation with 534.
% 213.08/213.19 >> back demodulating 77 with 534.
% 213.08/213.19 >> back demodulating 76 with 534.
% 213.08/213.19 >>>> Starting back demodulation with 537.
% 213.08/213.19 >>>> Starting back demodulation with 539.
% 213.08/213.19 >>>> Starting back demodulation with 541.
% 213.08/213.19 >> back demodulating 407 with 541.
% 213.08/213.19 >> back demodulating 406 with 541.
% 213.08/213.19 >> back demodulating 405 with 541.
% 213.08/213.19 >> back demodulating 402 with 541.
% 213.08/213.19 >> back demodulating 401 with 541.
% 213.08/213.19 >> back demodulating 394 with 541.
% 213.08/213.19 >> back demodulating 393 with 541.
% 213.08/213.19 ** KEPT (pick-wt=16): 658 [copy,542,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(A,B,B),c_Relation_ORange(A,B,B),tc_fun(B,tc_bool))=c_Relation_OField(A,B).
% 213.08/213.19 ** KEPT (pick-wt=25): 659 [copy,543,flip.1] c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(A,B,C,D),c_Set_Oimage(A,E,C,D),tc_fun(D,tc_bool))=c_Set_Oimage(A,c_Lattices_Oupper__semilattice__class_Osup(B,E,tc_fun(C,tc_bool)),C,D).
% 213.08/213.19 >>>> Starting back demodulation with 546.
% 213.08/213.19 ** KEPT (pick-wt=14): 660 [copy,549,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).
% 213.08/213.19 >>>> Starting back demodulation with 552.
% 213.08/213.19 >>>> Starting back demodulation with 556.
% 213.08/213.19 >> back demodulating 554 with 556.
% 213.08/213.19 >> back demodulating 545 with 556.
% 213.08/213.19 >> back demodulating 512 with 556.
% 213.08/213.19 >> back demodulating 510 with 556.
% 213.08/213.19 >> back demodulating 441 with 556.
% 213.08/213.19 >> back demodulating 296 with 556.
% 213.08/213.19 >> back demodulating 295 with 556.
% 213.08/213.19 >> back demodulating 278 with 556.
% 213.08/213.19 >> back demodulating 269 with 556.
% 213.08/213.19 >> back demodulating 266 with 556.
% 213.08/213.19 >> back demodulating 264 with 556.
% 213.08/213.19 >> back demodulating 263 with 556.
% 213.08/213.19 >> back demodulating 262 with 556.
% 213.08/213.19 >> back demodulating 258 with 556.
% 213.08/213.19 >> back demodulating 257 with 556.
% 213.08/213.19 >> back demodulating 218 with 556.
% 213.08/213.19 >> back demodulating 217 with 556.
% 213.08/213.19 >> back demodulating 216 with 556.
% 213.08/213.19 >> back demodulating 215 with 556.
% 213.08/213.19 >> back demodulating 214 with 556.
% 213.08/213.19 >> back demodulating 213 with 556.
% 213.08/213.19 >> back demodulating 195 with 556.
% 213.08/213.19 >> back demodulating 182 with 556.
% 213.08/213.19 >> back demodulating 171 with 556.
% 213.08/213.19 >> back demodulating 158 with 556.
% 213.08/213.19 >> back demodulating 157 with 556.
% 213.08/213.19 >> back demodulating 156 with 556.
% 213.08/213.19 >> back demodulating 154 with 556.
% 213.08/213.19 >> back demodulating 141 with 556.
% 213.08/213.19 >> back demodulating 71 with 556.
% 213.08/213.19 >> back demodulating 68 with 556.
% 213.08/213.19 >> back demodulating 54 with 556.
% 213.08/213.19 >>>> Starting back demodulation with 559.
% 213.08/213.19 >> back demodulating 551 with 559.
% 213.08/213.19 >>>> Starting back demodulation with 562.
% 213.08/213.19 >>>> Starting back demodulation with 565.
% 213.08/213.19 >>>> Starting back demodulation with 568.
% 213.08/213.19 >> back demodulating 221 with 568.
% 213.08/213.19 >> back demodulating 220 with 568.
% 213.08/213.19 >>>> Starting back demodulation with 570.
% 213.08/213.19 >>>> Starting back demodulation with 573.
% 213.08/213.19 >>>> Starting back demodulation with 580.
% 213.08/213.19 >>>> Starting back demodulation with 585.
% 213.08/213.19 >>>> Starting back demodulation with 588.
% 213.08/213.19 >>>> Starting back demodulation with 590.
% 213.08/213.19 >>>> Starting back demodulation with 592.
% 213.08/213.19 >>>> Starting back demodulation with 594.
% 213.08/213.19 >>>> Starting back demodulation with 597.
% 213.08/213.19 >>>> Starting back demodulation with 599.
% 213.08/213.19 >>>> Starting back demodulation with 603.
% 213.08/213.19 >>>> Starting back demodulation with 605.
% 213.08/213.19 >>>> Starting back demodulation with 607.
% 213.08/213.19 >>>> Starting back demodulation with 610.
% 213.08/213.19 >>>> Starting back demodulation with 612.
% 213.08/213.19 >>>> Starting back demodulation with 614.
% 213.08/213.19 >>>> Starting back demodulation with 616.
% 213.08/213.19 >>>> Starting back demodulation with 618.
% 213.08/213.19 >>>> Starting back demodulation with 620.
% 213.08/213.19 >> back demodulating 579 with 620.
% 213.08/213.19 624 back subsumes 421.
% 213.08/213.19 Following clause subsumed by 460 during input processing: 0 [copy,638,flip.1] c_Lattices_Oupper__semilattice__class_Osup(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(B,A,D),C,tc_fun(D,tc_bool)).
% 213.08/213.19 Following clause subsumed by 469 during input processing: 0 [copy,641,flip.1] c_Relation_OImage(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_prod(C,D),tc_bool)),E,C,D)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OImage(A,E,C,D),c_Relation_OImage(B,E,C,D),tc_fun(D,tc_bool)).
% 213.08/213.19 Following clause subsumed by 470 during input processing: 0 [copy,642,flip.1] c_Relation_OImage(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D,E)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OImage(A,B,D,E),c_Relation_OImage(A,C,D,E),tc_fun(E,tc_bool)).
% 213.08/213.19 Following clause subsumed by 488 during input processing: 0 [copy,645,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)).
% 213.08/213.19 Following clause subsumed by 491 during input processing: 0 [copy,646,flip.1] c_Relation_Orel__comp(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_prod(C,D),tc_bool)),E,C,D,F)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(A,E,C,D,F),c_Relation_Orel__comp(B,E,C,D,F),tc_fun(tc_prod(C,F),tc_bool)).
% 213.08/213.19 Following clause subsumed by 492 during input processing: 0 [copy,647,flip.1] c_Relation_Orel__comp(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(tc_prod(D,E),tc_bool)),F,D,E)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(A,B,F,D,E),c_Relation_Orel__comp(A,C,F,D,E),tc_fun(tc_prod(F,E),tc_bool)).
% 213.08/213.19 >>>> Starting back demodulation with 649.
% 213.08/213.19 Following clause subsumed by 528 during input processing: 0 [copy,651,flip.1] c_Relation_Oconverse(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_prod(C,D),tc_bool)),C,D)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Oconverse(A,C,D),c_Relation_Oconverse(B,C,D),tc_fun(tc_prod(D,C),tc_bool)).
% 213.08/213.19 >>>> Starting back demodulation with 653.
% 213.08/213.19 >>>> Starting back demodulation with 655.
% 213.08/213.19 Following clause subsumed by 542 during input processing: 0 [copy,658,flip.1] c_Relation_OField(A,B)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(A,B,B),c_Relation_ORange(A,B,B),tc_fun(B,tc_bool)).
% 213.08/213.19 658 back subsumes 497.
% 213.08/213.19 Following clause subsumed by 543 during input processing: 0 [copy,659,flip.1] c_Set_Oimage(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D,E)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(A,B,D,E),c_Set_Oimage(A,C,D,E),tc_fun(E,tc_bool)).
% 213.62/213.73 Following clause subsumed by 549 during input processing: 0 [copy,660,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)).
% 213.62/213.73 >>>> Starting back demodulation with 663.
% 213.62/213.73 >>>> Starting back demodulation with 665.
% 213.62/213.73 >>>> Starting back demodulation with 667.
% 213.62/213.73 >>>> Starting back demodulation with 694.
% 213.62/213.73
% 213.62/213.73 ======= end of input processing =======
% 213.62/213.73
% 213.62/213.73 =========== start of search ===========
% 213.62/213.73
% 213.62/213.73
% 213.62/213.73 Resetting weight limit to 2.
% 213.62/213.73
% 213.62/213.73
% 213.62/213.73 Resetting weight limit to 2.
% 213.62/213.73
% 213.62/213.73 sos_size=160
% 213.62/213.73
% 213.62/213.73 Search stopped in tp_alloc by max_mem option.
% 213.62/213.73
% 213.62/213.73 Search stopped in tp_alloc by max_mem option.
% 213.62/213.73
% 213.62/213.73 ============ end of search ============
% 213.62/213.73
% 213.62/213.73 -------------- statistics -------------
% 213.62/213.73 clauses given 64
% 213.62/213.73 clauses generated 21667
% 213.62/213.73 clauses kept 594
% 213.62/213.73 clauses forward subsumed 149
% 213.62/213.73 clauses back subsumed 21
% 213.62/213.73 Kbytes malloced 11718
% 213.62/213.73
% 213.62/213.73 ----------- times (seconds) -----------
% 213.62/213.73 user CPU time 0.64 (0 hr, 0 min, 0 sec)
% 213.62/213.73 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 213.62/213.73 wall-clock time 213 (0 hr, 3 min, 33 sec)
% 213.62/213.73
% 213.62/213.73 Process 32050 finished Wed Jul 27 09:01:43 2022
% 213.62/213.73 Otter interrupted
% 213.62/213.73 PROOF NOT FOUND
%------------------------------------------------------------------------------