iProverMo---2.5-0.1.UNS-CRf.s

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : SWV897-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n025.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  : 600s
% DateTime : Wed Jul 20 19:23:06 EDT 2022

% Result   : Unsatisfiable 7.18s 7.48s
% Output   : CNFRefutation 7.18s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)
% Orienting axioms whose shape is orientable
cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
    hBOOL(hAPP(hAPP(c_fequal(T_a),V_x),V_x)),
    input ).

fof(cls_ATP__Linkup_Oequal__imp__fequal_0_0,plain,
    ! [T_a,V_x] :
      ( hBOOL(hAPP(hAPP(c_fequal(T_a),V_x),V_x))
      | $false ),
    inference(orientation,[status(thm)],[cls_ATP__Linkup_Oequal__imp__fequal_0]) ).

cnf(cls_ATP__Linkup_OCOMBB__def_0,axiom,
    hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R) = hAPP(V_P,hAPP(V_Q,V_R)),
    input ).

fof(cls_ATP__Linkup_OCOMBB__def_0_0,plain,
    ! [T_a,T_b,T_c,V_P,V_Q,V_R] :
      ( hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R) = hAPP(V_P,hAPP(V_Q,V_R))
      | $false ),
    inference(orientation,[status(thm)],[cls_ATP__Linkup_OCOMBB__def_0]) ).

cnf(cls_ATP__Linkup_OCOMBC__def_0,axiom,
    hAPP(c_COMBC(V_P,V_Q,T_b,T_c,T_a),V_R) = hAPP(hAPP(V_P,V_R),V_Q),
    input ).

fof(cls_ATP__Linkup_OCOMBC__def_0_0,plain,
    ! [T_a,T_b,T_c,V_P,V_Q,V_R] :
      ( hAPP(c_COMBC(V_P,V_Q,T_b,T_c,T_a),V_R) = hAPP(hAPP(V_P,V_R),V_Q)
      | $false ),
    inference(orientation,[status(thm)],[cls_ATP__Linkup_OCOMBC__def_0]) ).

cnf(cls_ATP__Linkup_OCOMBS__def_0,axiom,
    hAPP(c_COMBS(V_P,V_Q,T_b,T_c,T_a),V_R) = hAPP(hAPP(V_P,V_R),hAPP(V_Q,V_R)),
    input ).

fof(cls_ATP__Linkup_OCOMBS__def_0_0,plain,
    ! [T_a,T_b,T_c,V_P,V_Q,V_R] :
      ( hAPP(c_COMBS(V_P,V_Q,T_b,T_c,T_a),V_R) = hAPP(hAPP(V_P,V_R),hAPP(V_Q,V_R))
      | $false ),
    inference(orientation,[status(thm)],[cls_ATP__Linkup_OCOMBS__def_0]) ).

cnf(clsarity_bool__HOL_Oord,axiom,
    class_HOL_Oord(tc_bool),
    input ).

fof(clsarity_bool__HOL_Oord_0,plain,
    ( class_HOL_Oord(tc_bool)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_bool__HOL_Oord]) ).

cnf(clsarity_bool__HOL_Ominus,axiom,
    class_HOL_Ominus(tc_bool),
    input ).

fof(clsarity_bool__HOL_Ominus_0,plain,
    ( class_HOL_Ominus(tc_bool)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_bool__HOL_Ominus]) ).

cnf(clsarity_bool__Orderings_Obot,axiom,
    class_Orderings_Obot(tc_bool),
    input ).

fof(clsarity_bool__Orderings_Obot_0,plain,
    ( class_Orderings_Obot(tc_bool)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_bool__Orderings_Obot]) ).

cnf(clsarity_bool__Orderings_Otop,axiom,
    class_Orderings_Otop(tc_bool),
    input ).

fof(clsarity_bool__Orderings_Otop_0,plain,
    ( class_Orderings_Otop(tc_bool)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_bool__Orderings_Otop]) ).

cnf(clsarity_bool__Orderings_Oorder,axiom,
    class_Orderings_Oorder(tc_bool),
    input ).

fof(clsarity_bool__Orderings_Oorder_0,plain,
    ( class_Orderings_Oorder(tc_bool)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_bool__Orderings_Oorder]) ).

cnf(clsarity_bool__Lattices_Olattice,axiom,
    class_Lattices_Olattice(tc_bool),
    input ).

fof(clsarity_bool__Lattices_Olattice_0,plain,
    ( class_Lattices_Olattice(tc_bool)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_bool__Lattices_Olattice]) ).

cnf(clsarity_bool__Orderings_Opreorder,axiom,
    class_Orderings_Opreorder(tc_bool),
    input ).

fof(clsarity_bool__Orderings_Opreorder_0,plain,
    ( class_Orderings_Opreorder(tc_bool)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_bool__Orderings_Opreorder]) ).

cnf(clsarity_bool__Lattices_Obounded__lattice,axiom,
    class_Lattices_Obounded__lattice(tc_bool),
    input ).

fof(clsarity_bool__Lattices_Obounded__lattice_0,plain,
    ( class_Lattices_Obounded__lattice(tc_bool)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_bool__Lattices_Obounded__lattice]) ).

cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom,
    class_Lattices_Oupper__semilattice(tc_bool),
    input ).

fof(clsarity_bool__Lattices_Oupper__semilattice_0,plain,
    ( class_Lattices_Oupper__semilattice(tc_bool)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_bool__Lattices_Oupper__semilattice]) ).

cnf(clsarity_nat__HOL_Oord,axiom,
    class_HOL_Oord(tc_nat),
    input ).

fof(clsarity_nat__HOL_Oord_0,plain,
    ( class_HOL_Oord(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__HOL_Oord]) ).

cnf(clsarity_nat__HOL_Ominus,axiom,
    class_HOL_Ominus(tc_nat),
    input ).

fof(clsarity_nat__HOL_Ominus_0,plain,
    ( class_HOL_Ominus(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__HOL_Ominus]) ).

cnf(clsarity_nat__Orderings_Obot,axiom,
    class_Orderings_Obot(tc_nat),
    input ).

fof(clsarity_nat__Orderings_Obot_0,plain,
    ( class_Orderings_Obot(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__Orderings_Obot]) ).

cnf(clsarity_nat__Orderings_Oorder,axiom,
    class_Orderings_Oorder(tc_nat),
    input ).

fof(clsarity_nat__Orderings_Oorder_0,plain,
    ( class_Orderings_Oorder(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__Orderings_Oorder]) ).

cnf(clsarity_nat__Lattices_Olattice,axiom,
    class_Lattices_Olattice(tc_nat),
    input ).

fof(clsarity_nat__Lattices_Olattice_0,plain,
    ( class_Lattices_Olattice(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__Lattices_Olattice]) ).

cnf(clsarity_nat__Orderings_Olinorder,axiom,
    class_Orderings_Olinorder(tc_nat),
    input ).

fof(clsarity_nat__Orderings_Olinorder_0,plain,
    ( class_Orderings_Olinorder(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__Orderings_Olinorder]) ).

cnf(clsarity_nat__Orderings_Opreorder,axiom,
    class_Orderings_Opreorder(tc_nat),
    input ).

fof(clsarity_nat__Orderings_Opreorder_0,plain,
    ( class_Orderings_Opreorder(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__Orderings_Opreorder]) ).

cnf(clsarity_nat__Lattices_Oupper__semilattice,axiom,
    class_Lattices_Oupper__semilattice(tc_nat),
    input ).

fof(clsarity_nat__Lattices_Oupper__semilattice_0,plain,
    ( class_Lattices_Oupper__semilattice(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__Lattices_Oupper__semilattice]) ).

cnf(cls_Un__left__absorb_0,axiom,
    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)),
    input ).

fof(cls_Un__left__absorb_0_0,plain,
    ! [T_a,V_A,V_B] :
      ( 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))
      | $false ),
    inference(orientation,[status(thm)],[cls_Un__left__absorb_0]) ).

cnf(cls_Un__commute_0,axiom,
    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)),
    input ).

fof(cls_Un__commute_0_0,plain,
    ! [T_a,V_A,V_B] :
      ( 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))
      | $false ),
    inference(orientation,[status(thm)],[cls_Un__commute_0]) ).

cnf(cls_Un__assoc_0,axiom,
    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)),
    input ).

fof(cls_Un__assoc_0_0,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( 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))
      | $false ),
    inference(orientation,[status(thm)],[cls_Un__assoc_0]) ).

cnf(cls_Un__left__commute_0,axiom,
    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)),
    input ).

fof(cls_Un__left__commute_0_0,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( 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))
      | $false ),
    inference(orientation,[status(thm)],[cls_Un__left__commute_0]) ).

cnf(cls_COMBS__def_0,axiom,
    hAPP(c_COMBS(V_P,V_Q,T_b,T_c,T_a),V_R) = hAPP(hAPP(V_P,V_R),hAPP(V_Q,V_R)),
    input ).

fof(cls_COMBS__def_0_0,plain,
    ! [T_a,T_b,T_c,V_P,V_Q,V_R] :
      ( hAPP(c_COMBS(V_P,V_Q,T_b,T_c,T_a),V_R) = hAPP(hAPP(V_P,V_R),hAPP(V_Q,V_R))
      | $false ),
    inference(orientation,[status(thm)],[cls_COMBS__def_0]) ).

cnf(cls_COMBB__def_0,axiom,
    hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R) = hAPP(V_P,hAPP(V_Q,V_R)),
    input ).

fof(cls_COMBB__def_0_0,plain,
    ! [T_a,T_b,T_c,V_P,V_Q,V_R] :
      ( hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R) = hAPP(V_P,hAPP(V_Q,V_R))
      | $false ),
    inference(orientation,[status(thm)],[cls_COMBB__def_0]) ).

cnf(cls_Un__absorb_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A,
    input ).

fof(cls_Un__absorb_0_0,plain,
    ! [T_a,V_A] :
      ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A
      | $false ),
    inference(orientation,[status(thm)],[cls_Un__absorb_0]) ).

cnf(cls_image__image_0,axiom,
    c_Set_Oimage(V_f,c_Set_Oimage(V_g,V_A,T_c,T_b),T_b,T_a) = c_Set_Oimage(c_COMBB(V_f,V_g,T_b,T_a,T_c),V_A,T_c,T_a),
    input ).

fof(cls_image__image_0_0,plain,
    ! [T_a,T_b,T_c,V_A,V_f,V_g] :
      ( c_Set_Oimage(V_f,c_Set_Oimage(V_g,V_A,T_c,T_b),T_b,T_a) = c_Set_Oimage(c_COMBB(V_f,V_g,T_b,T_a,T_c),V_A,T_c,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_image__image_0]) ).

cnf(cls_image__Un_0,axiom,
    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)),
    input ).

fof(cls_image__Un_0_0,plain,
    ! [T_a,T_b,V_A,V_B,V_f] :
      ( 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))
      | $false ),
    inference(orientation,[status(thm)],[cls_image__Un_0]) ).

cnf(cls_MGT__def_0,axiom,
    c_Hoare__Mirabelle_OMGT(V_c) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal(tc_Com_Ostate)),V_c),hAPP(c_Natural_Oevalc,V_c)),
    input ).

fof(cls_MGT__def_0_0,plain,
    ! [V_c] :
      ( c_Hoare__Mirabelle_OMGT(V_c) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal(tc_Com_Ostate)),V_c),hAPP(c_Natural_Oevalc,V_c))
      | $false ),
    inference(orientation,[status(thm)],[cls_MGT__def_0]) ).

cnf(cls_range__composition_0,axiom,
    c_Set_Oimage(c_COMBB(V_f,V_g,T_c,T_a,T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Set_Oimage(V_f,c_Set_Oimage(V_g,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_c),T_c,T_a),
    input ).

fof(cls_range__composition_0_0,plain,
    ! [T_a,T_b,T_c,V_f,V_g] :
      ( c_Set_Oimage(c_COMBB(V_f,V_g,T_c,T_a,T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Set_Oimage(V_f,c_Set_Oimage(V_g,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_c),T_c,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_range__composition_0]) ).

cnf(cls_MGT__def__raw_0,axiom,
    c_Hoare__Mirabelle_OMGT(v_c) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal(tc_Com_Ostate)),v_c),hAPP(c_Natural_Oevalc,v_c)),
    input ).

fof(cls_MGT__def__raw_0_0,plain,
    ( c_Hoare__Mirabelle_OMGT(v_c) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal(tc_Com_Ostate)),v_c),hAPP(c_Natural_Oevalc,v_c))
    | $false ),
    inference(orientation,[status(thm)],[cls_MGT__def__raw_0]) ).

cnf(cls_the_Osimps_0,axiom,
    hAPP(c_Option_Othe(T_a),c_Option_Ooption_OSome(V_x,T_a)) = V_x,
    input ).

fof(cls_the_Osimps_0_0,plain,
    ! [T_a,V_x] :
      ( hAPP(c_Option_Othe(T_a),c_Option_Ooption_OSome(V_x,T_a)) = V_x
      | $false ),
    inference(orientation,[status(thm)],[cls_the_Osimps_0]) ).

cnf(cls_evalc_OSkip_0,axiom,
    hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OSKIP),V_s),V_s)),
    input ).

fof(cls_evalc_OSkip_0_0,plain,
    ! [V_s] :
      ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OSKIP),V_s),V_s))
      | $false ),
    inference(orientation,[status(thm)],[cls_evalc_OSkip_0]) ).

cnf(cls_empty_0,axiom,
    c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),T_a),
    input ).

fof(cls_empty_0_0,plain,
    ! [T_a,V_G] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_empty_0]) ).

cnf(cls_triple_Ocases_0,axiom,
    c_Hoare__Mirabelle_Otriple_Otriple__case(V_f1,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_fun1),V_com),V_fun2),T_b,T_a) = hAPP(hAPP(hAPP(V_f1,V_fun1),V_com),V_fun2),
    input ).

fof(cls_triple_Ocases_0_0,plain,
    ! [T_a,T_b,V_com,V_f1,V_fun1,V_fun2] :
      ( c_Hoare__Mirabelle_Otriple_Otriple__case(V_f1,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_fun1),V_com),V_fun2),T_b,T_a) = hAPP(hAPP(hAPP(V_f1,V_fun1),V_com),V_fun2)
      | $false ),
    inference(orientation,[status(thm)],[cls_triple_Ocases_0]) ).

cnf(cls_triple_Orecs_0,axiom,
    c_Hoare__Mirabelle_Otriple_Otriple__rec(V_f1,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_fun1),V_com),V_fun2),T_b,T_a) = hAPP(hAPP(hAPP(V_f1,V_fun1),V_com),V_fun2),
    input ).

fof(cls_triple_Orecs_0_0,plain,
    ! [T_a,T_b,V_com,V_f1,V_fun1,V_fun2] :
      ( c_Hoare__Mirabelle_Otriple_Otriple__rec(V_f1,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_fun1),V_com),V_fun2),T_b,T_a) = hAPP(hAPP(hAPP(V_f1,V_fun1),V_com),V_fun2)
      | $false ),
    inference(orientation,[status(thm)],[cls_triple_Orecs_0]) ).

cnf(cls_Body__triple__valid__0_0,axiom,
    c_Hoare__Mirabelle_Otriple__valid(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),hAPP(c_Com_Ocom_OBODY,V_pn)),V_Q),T_a),
    input ).

fof(cls_Body__triple__valid__0_0_0,plain,
    ! [T_a,V_P,V_Q,V_pn] :
      ( c_Hoare__Mirabelle_Otriple__valid(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),hAPP(c_Com_Ocom_OBODY,V_pn)),V_Q),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_Body__triple__valid__0_0]) ).

cnf(cls_com_Osimps_I18_J_0,axiom,
    c_Com_Ocom_OSKIP != hAPP(c_Com_Ocom_OBODY,V_pname_H),
    input ).

fof(cls_com_Osimps_I18_J_0_0,plain,
    ! [V_pname_H] :
      ( c_Com_Ocom_OSKIP != hAPP(c_Com_Ocom_OBODY,V_pname_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I18_J_0]) ).

cnf(cls_com_Osimps_I70_J_0,axiom,
    c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,hAPP(c_Com_Ocom_OBODY,V_pname),T_a) = hAPP(V_f7,V_pname),
    input ).

fof(cls_com_Osimps_I70_J_0_0,plain,
    ! [T_a,V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_pname] :
      ( c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,hAPP(c_Com_Ocom_OBODY,V_pname),T_a) = hAPP(V_f7,V_pname)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I70_J_0]) ).

cnf(cls_com_Osimps_I62_J_0,axiom,
    hAPP(c_Com_Ocom_OBODY,V_pname) != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H),
    input ).

fof(cls_com_Osimps_I62_J_0_0,plain,
    ! [V_fun_H,V_pname,V_pname_H,V_vname_H] :
      ( hAPP(c_Com_Ocom_OBODY,V_pname) != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I62_J_0]) ).

cnf(cls_com_Osimps_I40_J_0,axiom,
    c_Com_Ocom_OLocal(V_loc,V_fun,V_com) != hAPP(c_Com_Ocom_OBODY,V_pname_H),
    input ).

fof(cls_com_Osimps_I40_J_0_0,plain,
    ! [V_com,V_fun,V_loc,V_pname_H] :
      ( c_Com_Ocom_OLocal(V_loc,V_fun,V_com) != hAPP(c_Com_Ocom_OBODY,V_pname_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I40_J_0]) ).

cnf(cls_com_Osimps_I48_J_0,axiom,
    c_Com_Ocom_OSemi(V_com1,V_com2) != hAPP(c_Com_Ocom_OBODY,V_pname_H),
    input ).

fof(cls_com_Osimps_I48_J_0_0,plain,
    ! [V_com1,V_com2,V_pname_H] :
      ( c_Com_Ocom_OSemi(V_com1,V_com2) != hAPP(c_Com_Ocom_OBODY,V_pname_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I48_J_0]) ).

cnf(cls_com_Osimps_I49_J_0,axiom,
    hAPP(c_Com_Ocom_OBODY,V_pname_H) != c_Com_Ocom_OSemi(V_com1,V_com2),
    input ).

fof(cls_com_Osimps_I49_J_0_0,plain,
    ! [V_com1,V_com2,V_pname_H] :
      ( hAPP(c_Com_Ocom_OBODY,V_pname_H) != c_Com_Ocom_OSemi(V_com1,V_com2)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I49_J_0]) ).

cnf(cls_com_Osimps_I63_J_0,axiom,
    c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) != hAPP(c_Com_Ocom_OBODY,V_pname),
    input ).

fof(cls_com_Osimps_I63_J_0_0,plain,
    ! [V_fun_H,V_pname,V_pname_H,V_vname_H] :
      ( c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) != hAPP(c_Com_Ocom_OBODY,V_pname)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I63_J_0]) ).

cnf(cls_com_Osimps_I59_J_0,axiom,
    hAPP(c_Com_Ocom_OBODY,V_pname_H) != c_Com_Ocom_OWhile(V_fun,V_com),
    input ).

fof(cls_com_Osimps_I59_J_0_0,plain,
    ! [V_com,V_fun,V_pname_H] :
      ( hAPP(c_Com_Ocom_OBODY,V_pname_H) != c_Com_Ocom_OWhile(V_fun,V_com)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I59_J_0]) ).

cnf(cls_com_Osimps_I41_J_0,axiom,
    hAPP(c_Com_Ocom_OBODY,V_pname_H) != c_Com_Ocom_OLocal(V_loc,V_fun,V_com),
    input ).

fof(cls_com_Osimps_I41_J_0_0,plain,
    ! [V_com,V_fun,V_loc,V_pname_H] :
      ( hAPP(c_Com_Ocom_OBODY,V_pname_H) != c_Com_Ocom_OLocal(V_loc,V_fun,V_com)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I41_J_0]) ).

cnf(cls_com_Osimps_I30_J_0,axiom,
    c_Com_Ocom_OAss(V_vname,V_fun) != hAPP(c_Com_Ocom_OBODY,V_pname_H),
    input ).

fof(cls_com_Osimps_I30_J_0_0,plain,
    ! [V_fun,V_pname_H,V_vname] :
      ( c_Com_Ocom_OAss(V_vname,V_fun) != hAPP(c_Com_Ocom_OBODY,V_pname_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I30_J_0]) ).

cnf(cls_com_Osimps_I31_J_0,axiom,
    hAPP(c_Com_Ocom_OBODY,V_pname_H) != c_Com_Ocom_OAss(V_vname,V_fun),
    input ).

fof(cls_com_Osimps_I31_J_0_0,plain,
    ! [V_fun,V_pname_H,V_vname] :
      ( hAPP(c_Com_Ocom_OBODY,V_pname_H) != c_Com_Ocom_OAss(V_vname,V_fun)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I31_J_0]) ).

cnf(cls_com_Osimps_I54_J_0,axiom,
    c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != hAPP(c_Com_Ocom_OBODY,V_pname_H),
    input ).

fof(cls_com_Osimps_I54_J_0_0,plain,
    ! [V_com1,V_com2,V_fun,V_pname_H] :
      ( c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != hAPP(c_Com_Ocom_OBODY,V_pname_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I54_J_0]) ).

cnf(cls_com_Osimps_I55_J_0,axiom,
    hAPP(c_Com_Ocom_OBODY,V_pname_H) != c_Com_Ocom_OCond(V_fun,V_com1,V_com2),
    input ).

fof(cls_com_Osimps_I55_J_0_0,plain,
    ! [V_com1,V_com2,V_fun,V_pname_H] :
      ( hAPP(c_Com_Ocom_OBODY,V_pname_H) != c_Com_Ocom_OCond(V_fun,V_com1,V_com2)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I55_J_0]) ).

cnf(cls_com_Orecs_I7_J_0,axiom,
    c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,hAPP(c_Com_Ocom_OBODY,V_pname),T_a) = hAPP(V_f7,V_pname),
    input ).

fof(cls_com_Orecs_I7_J_0_0,plain,
    ! [T_a,V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_pname] :
      ( c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,hAPP(c_Com_Ocom_OBODY,V_pname),T_a) = hAPP(V_f7,V_pname)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Orecs_I7_J_0]) ).

cnf(cls_com_Osimps_I58_J_0,axiom,
    c_Com_Ocom_OWhile(V_fun,V_com) != hAPP(c_Com_Ocom_OBODY,V_pname_H),
    input ).

fof(cls_com_Osimps_I58_J_0_0,plain,
    ! [V_com,V_fun,V_pname_H] :
      ( c_Com_Ocom_OWhile(V_fun,V_com) != hAPP(c_Com_Ocom_OBODY,V_pname_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I58_J_0]) ).

cnf(cls_com_Osimps_I19_J_0,axiom,
    hAPP(c_Com_Ocom_OBODY,V_pname_H) != c_Com_Ocom_OSKIP,
    input ).

fof(cls_com_Osimps_I19_J_0_0,plain,
    ! [V_pname_H] :
      ( hAPP(c_Com_Ocom_OBODY,V_pname_H) != c_Com_Ocom_OSKIP
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I19_J_0]) ).

cnf(cls_fcomp__def_0,axiom,
    hAPP(c_Fun_Ofcomp(V_f,V_g,t_a,T_c,T_b),v_x) = hAPP(V_g,hAPP(V_f,v_x)),
    input ).

fof(cls_fcomp__def_0_0,plain,
    ! [T_b,T_c,V_f,V_g] :
      ( hAPP(c_Fun_Ofcomp(V_f,V_g,t_a,T_c,T_b),v_x) = hAPP(V_g,hAPP(V_f,v_x))
      | $false ),
    inference(orientation,[status(thm)],[cls_fcomp__def_0]) ).

cnf(cls_id__def_0,axiom,
    hAPP(c_Fun_Oid(t_a),v_x) = v_x,
    input ).

fof(cls_id__def_0_0,plain,
    ( hAPP(c_Fun_Oid(t_a),v_x) = v_x
    | $false ),
    inference(orientation,[status(thm)],[cls_id__def_0]) ).

cnf(cls_o__def_0,axiom,
    hAPP(c_Fun_Ocomp(V_f,V_g,T_c,T_b,t_a),v_x) = hAPP(V_f,hAPP(V_g,v_x)),
    input ).

fof(cls_o__def_0_0,plain,
    ! [T_b,T_c,V_f,V_g] :
      ( hAPP(c_Fun_Ocomp(V_f,V_g,T_c,T_b,t_a),v_x) = hAPP(V_f,hAPP(V_g,v_x))
      | $false ),
    inference(orientation,[status(thm)],[cls_o__def_0]) ).

cnf(cls_sup__Un__eq_0,axiom,
    hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_COMBC(c_in(t_a),V_R,t_a,tc_fun(t_a,tc_bool),tc_bool),c_COMBC(c_in(t_a),V_S,t_a,tc_fun(t_a,tc_bool),tc_bool),tc_fun(t_a,tc_bool)),v_x) = hAPP(hAPP(c_in(t_a),v_x),c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(t_a,tc_bool))),
    input ).

fof(cls_sup__Un__eq_0_0,plain,
    ! [V_R,V_S] :
      ( hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_COMBC(c_in(t_a),V_R,t_a,tc_fun(t_a,tc_bool),tc_bool),c_COMBC(c_in(t_a),V_S,t_a,tc_fun(t_a,tc_bool),tc_bool),tc_fun(t_a,tc_bool)),v_x) = hAPP(hAPP(c_in(t_a),v_x),c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(t_a,tc_bool)))
      | $false ),
    inference(orientation,[status(thm)],[cls_sup__Un__eq_0]) ).

cnf(cls_vimage__Un_0,axiom,
    c_Set_Ovimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)),
    input ).

fof(cls_vimage__Un_0_0,plain,
    ! [T_a,T_b,V_A,V_B,V_f] :
      ( c_Set_Ovimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_vimage__Un_0]) ).

cnf(cls_Un__Diff_0,axiom,
    c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Un__Diff_0_0,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Un__Diff_0]) ).

cnf(cls_Un__Diff__cancel_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Un__Diff__cancel_0_0,plain,
    ! [T_a,V_A,V_B] :
      ( c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Un__Diff__cancel_0]) ).

cnf(cls_Un__Diff__cancel2_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Un__Diff__cancel2_0_0,plain,
    ! [T_a,V_A,V_B] :
      ( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Un__Diff__cancel2_0]) ).

cnf(cls_com_Osimps_I12_J_0,axiom,
    c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H),
    input ).

fof(cls_com_Osimps_I12_J_0_0,plain,
    ! [V_com1_H,V_com2_H] :
      ( c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I12_J_0]) ).

cnf(cls_fcomp__assoc_0,axiom,
    c_Fun_Ofcomp(c_Fun_Ofcomp(V_f,V_g,T_a,T_d,T_c),V_h,T_a,T_c,T_b) = c_Fun_Ofcomp(V_f,c_Fun_Ofcomp(V_g,V_h,T_d,T_c,T_b),T_a,T_d,T_b),
    input ).

fof(cls_fcomp__assoc_0_0,plain,
    ! [T_a,T_b,T_c,T_d,V_f,V_g,V_h] :
      ( c_Fun_Ofcomp(c_Fun_Ofcomp(V_f,V_g,T_a,T_d,T_c),V_h,T_a,T_c,T_b) = c_Fun_Ofcomp(V_f,c_Fun_Ofcomp(V_g,V_h,T_d,T_c,T_b),T_a,T_d,T_b)
      | $false ),
    inference(orientation,[status(thm)],[cls_fcomp__assoc_0]) ).

cnf(cls_com_Osimps_I42_J_0,axiom,
    c_Com_Ocom_OLocal(V_loc,V_fun,V_com) != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H),
    input ).

fof(cls_com_Osimps_I42_J_0_0,plain,
    ! [V_com,V_fun,V_fun_H,V_loc,V_pname_H,V_vname_H] :
      ( c_Com_Ocom_OLocal(V_loc,V_fun,V_com) != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I42_J_0]) ).

cnf(cls_vimage__empty_0,axiom,
    c_Set_Ovimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_a,T_b) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
    input ).

fof(cls_vimage__empty_0_0,plain,
    ! [T_a,T_b,V_f] :
      ( c_Set_Ovimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_a,T_b) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_vimage__empty_0]) ).

cnf(cls_com_Osimps_I9_J_0,axiom,
    c_Com_Ocom_OAss(V_vname_H,V_fun_H) != c_Com_Ocom_OSKIP,
    input ).

fof(cls_com_Osimps_I9_J_0_0,plain,
    ! [V_fun_H,V_vname_H] :
      ( c_Com_Ocom_OAss(V_vname_H,V_fun_H) != c_Com_Ocom_OSKIP
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I9_J_0]) ).

cnf(cls_vimage__insert_0,axiom,
    c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_a,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)),
    input ).

fof(cls_vimage__insert_0_0,plain,
    ! [T_a,T_b,V_B,V_a,V_f] :
      ( c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_a,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_vimage__insert_0]) ).

cnf(cls_com_Osimps_I68_J_0,axiom,
    c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OCond(V_fun,V_com1,V_com2),T_a) = hAPP(hAPP(hAPP(V_f5,V_fun),V_com1),V_com2),
    input ).

fof(cls_com_Osimps_I68_J_0_0,plain,
    ! [T_a,V_com1,V_com2,V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_fun] :
      ( c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OCond(V_fun,V_com1,V_com2),T_a) = hAPP(hAPP(hAPP(V_f5,V_fun),V_com1),V_com2)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I68_J_0]) ).

cnf(cls_singleton__iff_1,axiom,
    hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))),
    input ).

fof(cls_singleton__iff_1_0,plain,
    ! [T_a,V_x] :
      ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)))
      | $false ),
    inference(orientation,[status(thm)],[cls_singleton__iff_1]) ).

cnf(cls_com_Osimps_I21_J_0,axiom,
    c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) != c_Com_Ocom_OSKIP,
    input ).

fof(cls_com_Osimps_I21_J_0_0,plain,
    ! [V_fun_H,V_pname_H,V_vname_H] :
      ( c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) != c_Com_Ocom_OSKIP
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I21_J_0]) ).

cnf(cls_subset__refl_0,axiom,
    c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool)),
    input ).

fof(cls_subset__refl_0_0,plain,
    ! [T_a,V_A] :
      ( c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_subset__refl_0]) ).

cnf(cls_equalityE_0,axiom,
    c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)),
    input ).

fof(cls_equalityE_0_0,plain,
    ! [T_a,V_x] :
      ( c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_equalityE_0]) ).

cnf(cls_n__not__Suc__n_0,axiom,
    V_n != c_Suc(V_n),
    input ).

fof(cls_n__not__Suc__n_0_0,plain,
    ! [V_n] :
      ( V_n != c_Suc(V_n)
      | $false ),
    inference(orientation,[status(thm)],[cls_n__not__Suc__n_0]) ).

cnf(cls_Suc__n__not__n_0,axiom,
    c_Suc(V_n) != V_n,
    input ).

fof(cls_Suc__n__not__n_0_0,plain,
    ! [V_n] :
      ( c_Suc(V_n) != V_n
      | $false ),
    inference(orientation,[status(thm)],[cls_Suc__n__not__n_0]) ).

cnf(cls_com_Osimps_I47_J_0,axiom,
    c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OSemi(V_com1,V_com2),
    input ).

fof(cls_com_Osimps_I47_J_0_0,plain,
    ! [V_com1,V_com2,V_com_H,V_fun_H] :
      ( c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OSemi(V_com1,V_com2)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I47_J_0]) ).

cnf(cls_id__fcomp_0,axiom,
    c_Fun_Ofcomp(c_Fun_Oid(T_a),V_g,T_a,T_a,T_b) = V_g,
    input ).

fof(cls_id__fcomp_0_0,plain,
    ! [T_a,T_b,V_g] :
      ( c_Fun_Ofcomp(c_Fun_Oid(T_a),V_g,T_a,T_a,T_b) = V_g
      | $false ),
    inference(orientation,[status(thm)],[cls_id__fcomp_0]) ).

cnf(cls_fcomp__id_0,axiom,
    c_Fun_Ofcomp(V_f,c_Fun_Oid(T_b),T_a,T_b,T_b) = V_f,
    input ).

fof(cls_fcomp__id_0_0,plain,
    ! [T_a,T_b,V_f] :
      ( c_Fun_Ofcomp(V_f,c_Fun_Oid(T_b),T_a,T_b,T_b) = V_f
      | $false ),
    inference(orientation,[status(thm)],[cls_fcomp__id_0]) ).

cnf(cls_com_Osimps_I20_J_0,axiom,
    c_Com_Ocom_OSKIP != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H),
    input ).

fof(cls_com_Osimps_I20_J_0_0,plain,
    ! [V_fun_H,V_pname_H,V_vname_H] :
      ( c_Com_Ocom_OSKIP != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I20_J_0]) ).

cnf(cls_insert__code_1,axiom,
    hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)),
    input ).

fof(cls_insert__code_1_0,plain,
    ! [T_a,V_A,V_x] :
      ( hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x))
      | $false ),
    inference(orientation,[status(thm)],[cls_insert__code_1]) ).

cnf(cls_hoare__derivs_OSkip_0,axiom,
    c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),c_Com_Ocom_OSKIP),V_P),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a),
    input ).

fof(cls_hoare__derivs_OSkip_0_0,plain,
    ! [T_a,V_G,V_P] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),c_Com_Ocom_OSKIP),V_P),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_hoare__derivs_OSkip_0]) ).

cnf(cls_com_Osimps_I13_J_0,axiom,
    c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP,
    input ).

fof(cls_com_Osimps_I13_J_0_0,plain,
    ! [V_com1_H,V_com2_H] :
      ( c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I13_J_0]) ).

cnf(cls_com_Osimps_I33_J_0,axiom,
    c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) != c_Com_Ocom_OAss(V_vname,V_fun),
    input ).

fof(cls_com_Osimps_I33_J_0_0,plain,
    ! [V_fun,V_fun_H,V_pname_H,V_vname,V_vname_H] :
      ( c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) != c_Com_Ocom_OAss(V_vname,V_fun)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I33_J_0]) ).

cnf(cls_o__assoc_0,axiom,
    c_Fun_Ocomp(V_f,c_Fun_Ocomp(V_g,V_h,T_d,T_c,T_a),T_c,T_b,T_a) = c_Fun_Ocomp(c_Fun_Ocomp(V_f,V_g,T_c,T_b,T_d),V_h,T_d,T_b,T_a),
    input ).

fof(cls_o__assoc_0_0,plain,
    ! [T_a,T_b,T_c,T_d,V_f,V_g,V_h] :
      ( c_Fun_Ocomp(V_f,c_Fun_Ocomp(V_g,V_h,T_d,T_c,T_a),T_c,T_b,T_a) = c_Fun_Ocomp(c_Fun_Ocomp(V_f,V_g,T_c,T_b,T_d),V_h,T_d,T_b,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_o__assoc_0]) ).

cnf(cls_subset__UNIV_0,axiom,
    c_lessequals(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
    input ).

fof(cls_subset__UNIV_0_0,plain,
    ! [T_a,V_A] :
      ( c_lessequals(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_subset__UNIV_0]) ).

cnf(cls_fcomp__apply_0,axiom,
    hAPP(c_Fun_Ofcomp(V_f,V_g,T_b,T_c,T_a),V_x) = hAPP(V_g,hAPP(V_f,V_x)),
    input ).

fof(cls_fcomp__apply_0_0,plain,
    ! [T_a,T_b,T_c,V_f,V_g,V_x] :
      ( hAPP(c_Fun_Ofcomp(V_f,V_g,T_b,T_c,T_a),V_x) = hAPP(V_g,hAPP(V_f,V_x))
      | $false ),
    inference(orientation,[status(thm)],[cls_fcomp__apply_0]) ).

cnf(cls_Diff__UNIV_0,axiom,
    c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Diff__UNIV_0_0,plain,
    ! [T_a,V_A] :
      ( c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Diff__UNIV_0]) ).

cnf(cls_ex__in__conv_0,axiom,
    ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))),
    input ).

fof(cls_ex__in__conv_0_0,plain,
    ! [T_a,V_x] :
      ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))
      | $false ),
    inference(orientation,[status(thm)],[cls_ex__in__conv_0]) ).

cnf(cls_empty__iff_0,axiom,
    ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))),
    input ).

fof(cls_empty__iff_0_0,plain,
    ! [T_a,V_c] :
      ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))
      | $false ),
    inference(orientation,[status(thm)],[cls_empty__iff_0]) ).

cnf(cls_emptyE_0,axiom,
    ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))),
    input ).

fof(cls_emptyE_0_0,plain,
    ! [T_a,V_a] :
      ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))
      | $false ),
    inference(orientation,[status(thm)],[cls_emptyE_0]) ).

cnf(cls_com_Osimps_I69_J_0,axiom,
    c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OWhile(V_fun,V_com),T_a) = hAPP(hAPP(V_f6,V_fun),V_com),
    input ).

fof(cls_com_Osimps_I69_J_0_0,plain,
    ! [T_a,V_com,V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_fun] :
      ( c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OWhile(V_fun,V_com),T_a) = hAPP(hAPP(V_f6,V_fun),V_com)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I69_J_0]) ).

cnf(cls_com_Osimps_I66_J_0,axiom,
    c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OLocal(V_loc,V_fun,V_com),T_a) = hAPP(hAPP(hAPP(V_f3,V_loc),V_fun),V_com),
    input ).

fof(cls_com_Osimps_I66_J_0_0,plain,
    ! [T_a,V_com,V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_fun,V_loc] :
      ( c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OLocal(V_loc,V_fun,V_com),T_a) = hAPP(hAPP(hAPP(V_f3,V_loc),V_fun),V_com)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I66_J_0]) ).

cnf(cls_empty__not__insert_0,axiom,
    c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oinsert(V_a,V_A,T_a),
    input ).

fof(cls_empty__not__insert_0_0,plain,
    ! [T_a,V_A,V_a] :
      ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oinsert(V_a,V_A,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_empty__not__insert_0]) ).

cnf(cls_com_Osimps_I29_J_0,axiom,
    c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OAss(V_vname,V_fun),
    input ).

fof(cls_com_Osimps_I29_J_0_0,plain,
    ! [V_com_H,V_fun,V_fun_H,V_vname] :
      ( c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OAss(V_vname,V_fun)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I29_J_0]) ).

cnf(cls_subset__empty_1,axiom,
    c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
    input ).

fof(cls_subset__empty_1_0,plain,
    ! [T_a] :
      ( c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_subset__empty_1]) ).

cnf(cls_com_Osimps_I8_J_0,axiom,
    c_Com_Ocom_OSKIP != c_Com_Ocom_OAss(V_vname_H,V_fun_H),
    input ).

fof(cls_com_Osimps_I8_J_0_0,plain,
    ! [V_fun_H,V_vname_H] :
      ( c_Com_Ocom_OSKIP != c_Com_Ocom_OAss(V_vname_H,V_fun_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I8_J_0]) ).

cnf(cls_bot__empty__eq_0,axiom,
    hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x) = hAPP(hAPP(c_in(t_a),v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool))),
    input ).

fof(cls_bot__empty__eq_0_0,plain,
    ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x) = hAPP(hAPP(c_in(t_a),v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)))
    | $false ),
    inference(orientation,[status(thm)],[cls_bot__empty__eq_0]) ).

cnf(cls_Suc__neq__Zero_0,axiom,
    c_Suc(V_m) != c_HOL_Ozero__class_Ozero(tc_nat),
    input ).

fof(cls_Suc__neq__Zero_0_0,plain,
    ! [V_m] :
      ( c_Suc(V_m) != c_HOL_Ozero__class_Ozero(tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_Suc__neq__Zero_0]) ).

cnf(cls_nat_Osimps_I3_J_0,axiom,
    c_Suc(V_nat_H) != c_HOL_Ozero__class_Ozero(tc_nat),
    input ).

fof(cls_nat_Osimps_I3_J_0_0,plain,
    ! [V_nat_H] :
      ( c_Suc(V_nat_H) != c_HOL_Ozero__class_Ozero(tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_nat_Osimps_I3_J_0]) ).

cnf(cls_evaln_OSkip_0,axiom,
    c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_s),
    input ).

fof(cls_evaln_OSkip_0_0,plain,
    ! [V_n,V_s] :
      ( c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_s)
      | $false ),
    inference(orientation,[status(thm)],[cls_evaln_OSkip_0]) ).

cnf(cls_com_Osimps_I11_J_0,axiom,
    c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H) != c_Com_Ocom_OSKIP,
    input ).

fof(cls_com_Osimps_I11_J_0_0,plain,
    ! [V_com_H,V_fun_H,V_loc_H] :
      ( c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H) != c_Com_Ocom_OSKIP
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I11_J_0]) ).

cnf(cls_com_Osimps_I25_J_0,axiom,
    c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OAss(V_vname,V_fun),
    input ).

fof(cls_com_Osimps_I25_J_0_0,plain,
    ! [V_com1_H,V_com2_H,V_fun,V_vname] :
      ( c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OAss(V_vname,V_fun)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I25_J_0]) ).

cnf(cls_com_Osimps_I60_J_0,axiom,
    c_Com_Ocom_OWhile(V_fun,V_com) != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H),
    input ).

fof(cls_com_Osimps_I60_J_0_0,plain,
    ! [V_com,V_fun,V_fun_H,V_pname_H,V_vname_H] :
      ( c_Com_Ocom_OWhile(V_fun,V_com) != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I60_J_0]) ).

cnf(cls_Un__upper1_0,axiom,
    c_lessequals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Un__upper1_0_0,plain,
    ! [T_a,V_A,V_B] :
      ( c_lessequals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Un__upper1_0]) ).

cnf(cls_Un__upper2_0,axiom,
    c_lessequals(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Un__upper2_0_0,plain,
    ! [T_a,V_A,V_B] :
      ( c_lessequals(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Un__upper2_0]) ).

cnf(cls_Un__insert__left_0,axiom,
    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),
    input ).

fof(cls_Un__insert__left_0_0,plain,
    ! [T_a,V_B,V_C,V_a] :
      ( 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)
      | $false ),
    inference(orientation,[status(thm)],[cls_Un__insert__left_0]) ).

cnf(cls_Un__insert__right_0,axiom,
    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),
    input ).

fof(cls_Un__insert__right_0_0,plain,
    ! [T_a,V_A,V_B,V_a] :
      ( 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)
      | $false ),
    inference(orientation,[status(thm)],[cls_Un__insert__right_0]) ).

cnf(cls_Un__UNIV__left_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Un__UNIV__left_0_0,plain,
    ! [T_a,V_B] :
      ( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Un__UNIV__left_0]) ).

cnf(cls_Un__UNIV__right_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Un__UNIV__right_0_0,plain,
    ! [T_a,V_A] :
      ( c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Un__UNIV__right_0]) ).

cnf(cls_Un__empty__left_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = V_B,
    input ).

fof(cls_Un__empty__left_0_0,plain,
    ! [T_a,V_B] :
      ( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = V_B
      | $false ),
    inference(orientation,[status(thm)],[cls_Un__empty__left_0]) ).

cnf(cls_Un__empty__right_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A,
    input ).

fof(cls_Un__empty__right_0_0,plain,
    ! [T_a,V_A] :
      ( c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A
      | $false ),
    inference(orientation,[status(thm)],[cls_Un__empty__right_0]) ).

cnf(cls_Un__empty_2,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Un__empty_2_0,plain,
    ! [T_a] :
      ( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Un__empty_2]) ).

cnf(cls_empty__is__image_1,axiom,
    c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a),
    input ).

fof(cls_empty__is__image_1_0,plain,
    ! [T_a,T_b,V_f] :
      ( c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_empty__is__image_1]) ).

cnf(cls_image__id_0,axiom,
    c_Set_Oimage(c_Fun_Oid(T_a),V_Y,T_a,T_a) = V_Y,
    input ).

fof(cls_image__id_0_0,plain,
    ! [T_a,V_Y] :
      ( c_Set_Oimage(c_Fun_Oid(T_a),V_Y,T_a,T_a) = V_Y
      | $false ),
    inference(orientation,[status(thm)],[cls_image__id_0]) ).

cnf(cls_image__empty_0,axiom,
    c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
    input ).

fof(cls_image__empty_0_0,plain,
    ! [T_a,T_b,V_f] :
      ( c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_image__empty_0]) ).

cnf(cls_image__insert_0,axiom,
    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),
    input ).

fof(cls_image__insert_0_0,plain,
    ! [T_a,T_b,V_B,V_a,V_f] :
      ( 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)
      | $false ),
    inference(orientation,[status(thm)],[cls_image__insert_0]) ).

cnf(cls_image__compose_0,axiom,
    c_Set_Oimage(c_Fun_Ocomp(V_f,V_g,T_c,T_a,T_b),V_r,T_b,T_a) = c_Set_Oimage(V_f,c_Set_Oimage(V_g,V_r,T_b,T_c),T_c,T_a),
    input ).

fof(cls_image__compose_0_0,plain,
    ! [T_a,T_b,T_c,V_f,V_g,V_r] :
      ( c_Set_Oimage(c_Fun_Ocomp(V_f,V_g,T_c,T_a,T_b),V_r,T_b,T_a) = c_Set_Oimage(V_f,c_Set_Oimage(V_g,V_r,T_b,T_c),T_c,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_image__compose_0]) ).

cnf(cls_com_Orecs_I5_J_0,axiom,
    c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OCond(V_fun,V_com1,V_com2),T_a) = hAPP(hAPP(hAPP(hAPP(hAPP(V_f5,V_fun),V_com1),V_com2),c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_com1,T_a)),c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_com2,T_a)),
    input ).

fof(cls_com_Orecs_I5_J_0_0,plain,
    ! [T_a,V_com1,V_com2,V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_fun] :
      ( c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OCond(V_fun,V_com1,V_com2),T_a) = hAPP(hAPP(hAPP(hAPP(hAPP(V_f5,V_fun),V_com1),V_com2),c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_com1,T_a)),c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_com2,T_a))
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Orecs_I5_J_0]) ).

cnf(cls_id__apply_0,axiom,
    hAPP(c_Fun_Oid(T_a),V_x) = V_x,
    input ).

fof(cls_id__apply_0_0,plain,
    ! [T_a,V_x] :
      ( hAPP(c_Fun_Oid(T_a),V_x) = V_x
      | $false ),
    inference(orientation,[status(thm)],[cls_id__apply_0]) ).

cnf(cls_com_Orecs_I6_J_0,axiom,
    c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OWhile(V_fun,V_com),T_a) = hAPP(hAPP(hAPP(V_f6,V_fun),V_com),c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_com,T_a)),
    input ).

fof(cls_com_Orecs_I6_J_0_0,plain,
    ! [T_a,V_com,V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_fun] :
      ( c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OWhile(V_fun,V_com),T_a) = hAPP(hAPP(hAPP(V_f6,V_fun),V_com),c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_com,T_a))
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Orecs_I6_J_0]) ).

cnf(cls_com_Osimps_I27_J_0,axiom,
    c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) != c_Com_Ocom_OAss(V_vname,V_fun),
    input ).

fof(cls_com_Osimps_I27_J_0_0,plain,
    ! [V_com1_H,V_com2_H,V_fun,V_fun_H,V_vname] :
      ( c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) != c_Com_Ocom_OAss(V_vname,V_fun)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I27_J_0]) ).

cnf(cls_com_Orecs_I2_J_0,axiom,
    c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OAss(V_vname,V_fun),T_a) = hAPP(hAPP(V_f2,V_vname),V_fun),
    input ).

fof(cls_com_Orecs_I2_J_0_0,plain,
    ! [T_a,V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_fun,V_vname] :
      ( c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OAss(V_vname,V_fun),T_a) = hAPP(hAPP(V_f2,V_vname),V_fun)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Orecs_I2_J_0]) ).

cnf(cls_com_Osimps_I50_J_0,axiom,
    c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H),
    input ).

fof(cls_com_Osimps_I50_J_0_0,plain,
    ! [V_com1,V_com2,V_fun_H,V_pname_H,V_vname_H] :
      ( c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I50_J_0]) ).

cnf(cls_com_Osimps_I53_J_0,axiom,
    c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OCond(V_fun,V_com1,V_com2),
    input ).

fof(cls_com_Osimps_I53_J_0_0,plain,
    ! [V_com1,V_com2,V_com_H,V_fun,V_fun_H] :
      ( c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OCond(V_fun,V_com1,V_com2)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I53_J_0]) ).

cnf(cls_com_Osimps_I15_J_0,axiom,
    c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP,
    input ).

fof(cls_com_Osimps_I15_J_0_0,plain,
    ! [V_com1_H,V_com2_H,V_fun_H] :
      ( c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I15_J_0]) ).

cnf(cls_insert__is__Un_0,axiom,
    c_Set_Oinsert(V_a,V_A,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_A,tc_fun(T_a,tc_bool)),
    input ).

fof(cls_insert__is__Un_0_0,plain,
    ! [T_a,V_A,V_a] :
      ( c_Set_Oinsert(V_a,V_A,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_A,tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_insert__is__Un_0]) ).

cnf(cls_com_Orecs_I8_J_0,axiom,
    c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OCall(V_vname,V_pname,V_fun),T_a) = hAPP(hAPP(hAPP(V_f8,V_vname),V_pname),V_fun),
    input ).

fof(cls_com_Orecs_I8_J_0_0,plain,
    ! [T_a,V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_fun,V_pname,V_vname] :
      ( c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OCall(V_vname,V_pname,V_fun),T_a) = hAPP(hAPP(hAPP(V_f8,V_vname),V_pname),V_fun)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Orecs_I8_J_0]) ).

cnf(cls_vimage__compose_0,axiom,
    c_Set_Ovimage(c_Fun_Ocomp(V_g,V_f,T_c,T_b,T_a),V_x,T_a,T_b) = c_Set_Ovimage(V_f,c_Set_Ovimage(V_g,V_x,T_c,T_b),T_a,T_c),
    input ).

fof(cls_vimage__compose_0_0,plain,
    ! [T_a,T_b,T_c,V_f,V_g,V_x] :
      ( c_Set_Ovimage(c_Fun_Ocomp(V_g,V_f,T_c,T_b,T_a),V_x,T_a,T_b) = c_Set_Ovimage(V_f,c_Set_Ovimage(V_g,V_x,T_c,T_b),T_a,T_c)
      | $false ),
    inference(orientation,[status(thm)],[cls_vimage__compose_0]) ).

cnf(cls_com_Osimps_I34_J_0,axiom,
    c_Com_Ocom_OLocal(V_loc,V_fun,V_com) != c_Com_Ocom_OSemi(V_com1_H,V_com2_H),
    input ).

fof(cls_com_Osimps_I34_J_0_0,plain,
    ! [V_com,V_com1_H,V_com2_H,V_fun,V_loc] :
      ( c_Com_Ocom_OLocal(V_loc,V_fun,V_com) != c_Com_Ocom_OSemi(V_com1_H,V_com2_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I34_J_0]) ).

cnf(cls_com_Osimps_I67_J_0,axiom,
    c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OSemi(V_com1,V_com2),T_a) = hAPP(hAPP(V_f4,V_com1),V_com2),
    input ).

fof(cls_com_Osimps_I67_J_0_0,plain,
    ! [T_a,V_com1,V_com2,V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8] :
      ( c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OSemi(V_com1,V_com2),T_a) = hAPP(hAPP(V_f4,V_com1),V_com2)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I67_J_0]) ).

cnf(cls_vimage__id_0,axiom,
    c_Set_Ovimage(c_Fun_Oid(T_a),V_A,T_a,T_a) = V_A,
    input ).

fof(cls_vimage__id_0_0,plain,
    ! [T_a,V_A] :
      ( c_Set_Ovimage(c_Fun_Oid(T_a),V_A,T_a,T_a) = V_A
      | $false ),
    inference(orientation,[status(thm)],[cls_vimage__id_0]) ).

cnf(cls_top1I_0,axiom,
    hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x)),
    input ).

fof(cls_top1I_0_0,plain,
    ! [T_a,V_x] :
      ( hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x))
      | $false ),
    inference(orientation,[status(thm)],[cls_top1I_0]) ).

cnf(cls_UNIV__not__empty_0,axiom,
    c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
    input ).

fof(cls_UNIV__not__empty_0_0,plain,
    ! [T_a] :
      ( c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_UNIV__not__empty_0]) ).

cnf(cls_com_Osimps_I10_J_0,axiom,
    c_Com_Ocom_OSKIP != c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H),
    input ).

fof(cls_com_Osimps_I10_J_0_0,plain,
    ! [V_com_H,V_fun_H,V_loc_H] :
      ( c_Com_Ocom_OSKIP != c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I10_J_0]) ).

cnf(cls_bot1E_0,axiom,
    ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)),
    input ).

fof(cls_bot1E_0_0,plain,
    ! [T_a,V_x] :
      ( ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x))
      | $false ),
    inference(orientation,[status(thm)],[cls_bot1E_0]) ).

cnf(cls_com_Osimps_I16_J_0,axiom,
    c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(V_fun_H,V_com_H),
    input ).

fof(cls_com_Osimps_I16_J_0_0,plain,
    ! [V_com_H,V_fun_H] :
      ( c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(V_fun_H,V_com_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I16_J_0]) ).

cnf(cls_com_Osimps_I26_J_0,axiom,
    c_Com_Ocom_OAss(V_vname,V_fun) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H),
    input ).

fof(cls_com_Osimps_I26_J_0_0,plain,
    ! [V_com1_H,V_com2_H,V_fun,V_fun_H,V_vname] :
      ( c_Com_Ocom_OAss(V_vname,V_fun) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I26_J_0]) ).

cnf(cls_empty__Diff_0,axiom,
    c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
    input ).

fof(cls_empty__Diff_0_0,plain,
    ! [T_a,V_A] :
      ( c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_empty__Diff_0]) ).

cnf(cls_com_Osimps_I38_J_0,axiom,
    c_Com_Ocom_OLocal(V_loc,V_fun,V_com) != c_Com_Ocom_OWhile(V_fun_H,V_com_H),
    input ).

fof(cls_com_Osimps_I38_J_0_0,plain,
    ! [V_com,V_com_H,V_fun,V_fun_H,V_loc] :
      ( c_Com_Ocom_OLocal(V_loc,V_fun,V_com) != c_Com_Ocom_OWhile(V_fun_H,V_com_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I38_J_0]) ).

cnf(cls_com_Osimps_I64_J_0,axiom,
    c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OSKIP,T_a) = V_f1,
    input ).

fof(cls_com_Osimps_I64_J_0_0,plain,
    ! [T_a,V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8] :
      ( c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OSKIP,T_a) = V_f1
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I64_J_0]) ).

cnf(cls_fcomp__def__raw_0,axiom,
    hAPP(c_Fun_Ofcomp(v_f,v_g,t_a,t_b,t_c),v_x) = hAPP(v_g,hAPP(v_f,v_x)),
    input ).

fof(cls_fcomp__def__raw_0_0,plain,
    ( hAPP(c_Fun_Ofcomp(v_f,v_g,t_a,t_b,t_c),v_x) = hAPP(v_g,hAPP(v_f,v_x))
    | $false ),
    inference(orientation,[status(thm)],[cls_fcomp__def__raw_0]) ).

cnf(cls_com_Osimps_I22_J_0,axiom,
    c_Com_Ocom_OAss(V_vname,V_fun) != c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H),
    input ).

fof(cls_com_Osimps_I22_J_0_0,plain,
    ! [V_com_H,V_fun,V_fun_H,V_loc_H,V_vname] :
      ( c_Com_Ocom_OAss(V_vname,V_fun) != c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I22_J_0]) ).

cnf(cls_com_Osimps_I28_J_0,axiom,
    c_Com_Ocom_OAss(V_vname,V_fun) != c_Com_Ocom_OWhile(V_fun_H,V_com_H),
    input ).

fof(cls_com_Osimps_I28_J_0_0,plain,
    ! [V_com_H,V_fun,V_fun_H,V_vname] :
      ( c_Com_Ocom_OAss(V_vname,V_fun) != c_Com_Ocom_OWhile(V_fun_H,V_com_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I28_J_0]) ).

cnf(cls_o__eq__dest__lhs_0,axiom,
    hAPP(V_a,hAPP(V_b,V_v)) = hAPP(c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a),V_v),
    input ).

fof(cls_o__eq__dest__lhs_0_0,plain,
    ! [T_a,T_b,T_c,V_a,V_b,V_v] :
      ( hAPP(c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a),V_v) = hAPP(V_a,hAPP(V_b,V_v))
      | $false ),
    inference(orientation,[status(thm)],[cls_o__eq__dest__lhs_0]) ).

cnf(cls_o__apply_0,axiom,
    hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x) = hAPP(V_f,hAPP(V_g,V_x)),
    input ).

fof(cls_o__apply_0_0,plain,
    ! [T_a,T_b,T_c,V_f,V_g,V_x] :
      ( hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x) = hAPP(V_f,hAPP(V_g,V_x))
      | $false ),
    inference(orientation,[status(thm)],[cls_o__apply_0]) ).

cnf(cls_Diff__cancel_0,axiom,
    c_HOL_Ominus__class_Ominus(V_A,V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Diff__cancel_0_0,plain,
    ! [T_a,V_A] :
      ( c_HOL_Ominus__class_Ominus(V_A,V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Diff__cancel_0]) ).

cnf(cls_Diff__empty_0,axiom,
    c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A,
    input ).

fof(cls_Diff__empty_0_0,plain,
    ! [T_a,V_A] :
      ( c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A
      | $false ),
    inference(orientation,[status(thm)],[cls_Diff__empty_0]) ).

cnf(cls_com_Osimps_I57_J_0,axiom,
    c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) != c_Com_Ocom_OCond(V_fun,V_com1,V_com2),
    input ).

fof(cls_com_Osimps_I57_J_0_0,plain,
    ! [V_com1,V_com2,V_fun,V_fun_H,V_pname_H,V_vname_H] :
      ( c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) != c_Com_Ocom_OCond(V_fun,V_com1,V_com2)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I57_J_0]) ).

cnf(cls_not__None__eq_1,axiom,
    c_Option_Ooption_OSome(V_xa,T_a) != c_Option_Ooption_ONone(T_a),
    input ).

fof(cls_not__None__eq_1_0,plain,
    ! [T_a,V_xa] :
      ( c_Option_Ooption_OSome(V_xa,T_a) != c_Option_Ooption_ONone(T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_not__None__eq_1]) ).

cnf(cls_option_Osimps_I3_J_0,axiom,
    c_Option_Ooption_OSome(V_a_H,T_a) != c_Option_Ooption_ONone(T_a),
    input ).

fof(cls_option_Osimps_I3_J_0_0,plain,
    ! [T_a,V_a_H] :
      ( c_Option_Ooption_OSome(V_a_H,T_a) != c_Option_Ooption_ONone(T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_option_Osimps_I3_J_0]) ).

cnf(cls_UNIV__I_0,axiom,
    hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)))),
    input ).

fof(cls_UNIV__I_0_0,plain,
    ! [T_a,V_x] :
      ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))))
      | $false ),
    inference(orientation,[status(thm)],[cls_UNIV__I_0]) ).

cnf(cls_com_Osimps_I45_J_0,axiom,
    c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) != c_Com_Ocom_OSemi(V_com1,V_com2),
    input ).

fof(cls_com_Osimps_I45_J_0_0,plain,
    ! [V_com1,V_com1_H,V_com2,V_com2_H,V_fun_H] :
      ( c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) != c_Com_Ocom_OSemi(V_com1,V_com2)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I45_J_0]) ).

cnf(cls_subset__insertI_0,axiom,
    c_lessequals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)),
    input ).

fof(cls_subset__insertI_0_0,plain,
    ! [T_a,V_B,V_a] :
      ( c_lessequals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_subset__insertI_0]) ).

cnf(cls_com_Osimps_I37_J_0,axiom,
    c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) != c_Com_Ocom_OLocal(V_loc,V_fun,V_com),
    input ).

fof(cls_com_Osimps_I37_J_0_0,plain,
    ! [V_com,V_com1_H,V_com2_H,V_fun,V_fun_H,V_loc] :
      ( c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) != c_Com_Ocom_OLocal(V_loc,V_fun,V_com)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I37_J_0]) ).

cnf(cls_com_Osimps_I52_J_0,axiom,
    c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != c_Com_Ocom_OWhile(V_fun_H,V_com_H),
    input ).

fof(cls_com_Osimps_I52_J_0_0,plain,
    ! [V_com1,V_com2,V_com_H,V_fun,V_fun_H] :
      ( c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != c_Com_Ocom_OWhile(V_fun_H,V_com_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I52_J_0]) ).

cnf(cls_com_Osimps_I23_J_0,axiom,
    c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H) != c_Com_Ocom_OAss(V_vname,V_fun),
    input ).

fof(cls_com_Osimps_I23_J_0_0,plain,
    ! [V_com_H,V_fun,V_fun_H,V_loc_H,V_vname] :
      ( c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H) != c_Com_Ocom_OAss(V_vname,V_fun)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I23_J_0]) ).

cnf(cls_insert__absorb2_0,axiom,
    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),
    input ).

fof(cls_insert__absorb2_0_0,plain,
    ! [T_a,V_A,V_x] :
      ( 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)
      | $false ),
    inference(orientation,[status(thm)],[cls_insert__absorb2_0]) ).

cnf(cls_vimage__singleton__eq_1,axiom,
    hBOOL(hAPP(hAPP(c_in(T_aa),V_a),c_Set_Ovimage(V_f,c_Set_Oinsert(hAPP(V_f,V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_aa,T_a))),
    input ).

fof(cls_vimage__singleton__eq_1_0,plain,
    ! [T_a,T_aa,V_a,V_f] :
      ( hBOOL(hAPP(hAPP(c_in(T_aa),V_a),c_Set_Ovimage(V_f,c_Set_Oinsert(hAPP(V_f,V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_aa,T_a)))
      | $false ),
    inference(orientation,[status(thm)],[cls_vimage__singleton__eq_1]) ).

cnf(cls_com_Osimps_I35_J_0,axiom,
    c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OLocal(V_loc,V_fun,V_com),
    input ).

fof(cls_com_Osimps_I35_J_0_0,plain,
    ! [V_com,V_com1_H,V_com2_H,V_fun,V_loc] :
      ( c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OLocal(V_loc,V_fun,V_com)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I35_J_0]) ).

cnf(cls_insert__not__empty_0,axiom,
    c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
    input ).

fof(cls_insert__not__empty_0_0,plain,
    ! [T_a,V_A,V_a] :
      ( c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_insert__not__empty_0]) ).

cnf(cls_com_Osimps_I44_J_0,axiom,
    c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H),
    input ).

fof(cls_com_Osimps_I44_J_0_0,plain,
    ! [V_com1,V_com1_H,V_com2,V_com2_H,V_fun_H] :
      ( c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I44_J_0]) ).

cnf(cls_Diff__insert2_0,axiom,
    c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Diff__insert2_0_0,plain,
    ! [T_a,V_A,V_B,V_a] :
      ( c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Diff__insert2_0]) ).

cnf(cls_Diff__insert_0,axiom,
    c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Diff__insert_0_0,plain,
    ! [T_a,V_A,V_B,V_a] :
      ( c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Diff__insert_0]) ).

cnf(cls_com_Osimps_I46_J_0,axiom,
    c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OWhile(V_fun_H,V_com_H),
    input ).

fof(cls_com_Osimps_I46_J_0_0,plain,
    ! [V_com1,V_com2,V_com_H,V_fun_H] :
      ( c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OWhile(V_fun_H,V_com_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I46_J_0]) ).

cnf(cls_vimage__UNIV_0,axiom,
    c_Set_Ovimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_a,T_b) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),
    input ).

fof(cls_vimage__UNIV_0_0,plain,
    ! [T_a,T_b,V_f] :
      ( c_Set_Ovimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_a,T_b) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_vimage__UNIV_0]) ).

cnf(cls_empty__subsetI_0,axiom,
    c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)),
    input ).

fof(cls_empty__subsetI_0_0,plain,
    ! [T_a,V_A] :
      ( c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_empty__subsetI_0]) ).

cnf(cls_image__vimage__subset_0,axiom,
    c_lessequals(c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b,T_a),V_A,tc_fun(T_a,tc_bool)),
    input ).

fof(cls_image__vimage__subset_0_0,plain,
    ! [T_a,T_b,V_A,V_f] :
      ( c_lessequals(c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b,T_a),V_A,tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_image__vimage__subset_0]) ).

cnf(cls_Zero__neq__Suc_0,axiom,
    c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_m),
    input ).

fof(cls_Zero__neq__Suc_0_0,plain,
    ! [V_m] :
      ( c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_m)
      | $false ),
    inference(orientation,[status(thm)],[cls_Zero__neq__Suc_0]) ).

cnf(cls_nat_Osimps_I2_J_0,axiom,
    c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_nat_H),
    input ).

fof(cls_nat_Osimps_I2_J_0_0,plain,
    ! [V_nat_H] :
      ( c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_nat_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_nat_Osimps_I2_J_0]) ).

cnf(cls_vimage__Diff_0,axiom,
    c_Set_Ovimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_HOL_Ominus__class_Ominus(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)),
    input ).

fof(cls_vimage__Diff_0_0,plain,
    ! [T_a,T_b,V_A,V_B,V_f] :
      ( c_Set_Ovimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_HOL_Ominus__class_Ominus(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_vimage__Diff_0]) ).

cnf(cls_com_Osimps_I39_J_0,axiom,
    c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OLocal(V_loc,V_fun,V_com),
    input ).

fof(cls_com_Osimps_I39_J_0_0,plain,
    ! [V_com,V_com_H,V_fun,V_fun_H,V_loc] :
      ( c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OLocal(V_loc,V_fun,V_com)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I39_J_0]) ).

cnf(cls_com_Osimps_I17_J_0,axiom,
    c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OSKIP,
    input ).

fof(cls_com_Osimps_I17_J_0_0,plain,
    ! [V_com_H,V_fun_H] :
      ( c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OSKIP
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I17_J_0]) ).

cnf(cls_com_Orecs_I4_J_0,axiom,
    c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OSemi(V_com1,V_com2),T_a) = hAPP(hAPP(hAPP(hAPP(V_f4,V_com1),V_com2),c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_com1,T_a)),c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_com2,T_a)),
    input ).

fof(cls_com_Orecs_I4_J_0_0,plain,
    ! [T_a,V_com1,V_com2,V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8] :
      ( c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OSemi(V_com1,V_com2),T_a) = hAPP(hAPP(hAPP(hAPP(V_f4,V_com1),V_com2),c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_com1,T_a)),c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_com2,T_a))
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Orecs_I4_J_0]) ).

cnf(cls_com_Orecs_I3_J_0,axiom,
    c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OLocal(V_loc,V_fun,V_com),T_a) = hAPP(hAPP(hAPP(hAPP(V_f3,V_loc),V_fun),V_com),c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_com,T_a)),
    input ).

fof(cls_com_Orecs_I3_J_0_0,plain,
    ! [T_a,V_com,V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_fun,V_loc] :
      ( c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OLocal(V_loc,V_fun,V_com),T_a) = hAPP(hAPP(hAPP(hAPP(V_f3,V_loc),V_fun),V_com),c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_com,T_a))
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Orecs_I3_J_0]) ).

cnf(cls_com_Osimps_I24_J_0,axiom,
    c_Com_Ocom_OAss(V_vname,V_fun) != c_Com_Ocom_OSemi(V_com1_H,V_com2_H),
    input ).

fof(cls_com_Osimps_I24_J_0_0,plain,
    ! [V_com1_H,V_com2_H,V_fun,V_vname] :
      ( c_Com_Ocom_OAss(V_vname,V_fun) != c_Com_Ocom_OSemi(V_com1_H,V_com2_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I24_J_0]) ).

cnf(cls_com_Orecs_I1_J_0,axiom,
    c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OSKIP,T_a) = V_f1,
    input ).

fof(cls_com_Orecs_I1_J_0_0,plain,
    ! [T_a,V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8] :
      ( c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OSKIP,T_a) = V_f1
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Orecs_I1_J_0]) ).

cnf(cls_com_Osimps_I36_J_0,axiom,
    c_Com_Ocom_OLocal(V_loc,V_fun,V_com) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H),
    input ).

fof(cls_com_Osimps_I36_J_0_0,plain,
    ! [V_com,V_com1_H,V_com2_H,V_fun,V_fun_H,V_loc] :
      ( c_Com_Ocom_OLocal(V_loc,V_fun,V_com) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I36_J_0]) ).

cnf(cls_com_Osimps_I56_J_0,axiom,
    c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H),
    input ).

fof(cls_com_Osimps_I56_J_0_0,plain,
    ! [V_com1,V_com2,V_fun,V_fun_H,V_pname_H,V_vname_H] :
      ( c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I56_J_0]) ).

cnf(cls_o__id_0,axiom,
    c_Fun_Ocomp(V_f,c_Fun_Oid(T_a),T_a,T_b,T_a) = V_f,
    input ).

fof(cls_o__id_0_0,plain,
    ! [T_a,T_b,V_f] :
      ( c_Fun_Ocomp(V_f,c_Fun_Oid(T_a),T_a,T_b,T_a) = V_f
      | $false ),
    inference(orientation,[status(thm)],[cls_o__id_0]) ).

cnf(cls_id__o_0,axiom,
    c_Fun_Ocomp(c_Fun_Oid(T_b),V_g,T_b,T_b,T_a) = V_g,
    input ).

fof(cls_id__o_0_0,plain,
    ! [T_a,T_b,V_g] :
      ( c_Fun_Ocomp(c_Fun_Oid(T_b),V_g,T_b,T_b,T_a) = V_g
      | $false ),
    inference(orientation,[status(thm)],[cls_id__o_0]) ).

cnf(cls_com_Osimps_I61_J_0,axiom,
    c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) != c_Com_Ocom_OWhile(V_fun,V_com),
    input ).

fof(cls_com_Osimps_I61_J_0_0,plain,
    ! [V_com,V_fun,V_fun_H,V_pname_H,V_vname_H] :
      ( c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) != c_Com_Ocom_OWhile(V_fun,V_com)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I61_J_0]) ).

cnf(cls_com_Osimps_I43_J_0,axiom,
    c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) != c_Com_Ocom_OLocal(V_loc,V_fun,V_com),
    input ).

fof(cls_com_Osimps_I43_J_0_0,plain,
    ! [V_com,V_fun,V_fun_H,V_loc,V_pname_H,V_vname_H] :
      ( c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) != c_Com_Ocom_OLocal(V_loc,V_fun,V_com)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I43_J_0]) ).

cnf(cls_insert__Diff__single_0,axiom,
    c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a) = c_Set_Oinsert(V_a,V_A,T_a),
    input ).

fof(cls_insert__Diff__single_0_0,plain,
    ! [T_a,V_A,V_a] :
      ( c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a) = c_Set_Oinsert(V_a,V_A,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_insert__Diff__single_0]) ).

cnf(cls_Diff__subset_0,axiom,
    c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Diff__subset_0_0,plain,
    ! [T_a,V_A,V_B] :
      ( c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Diff__subset_0]) ).

cnf(cls_com_Osimps_I32_J_0,axiom,
    c_Com_Ocom_OAss(V_vname,V_fun) != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H),
    input ).

fof(cls_com_Osimps_I32_J_0_0,plain,
    ! [V_fun,V_fun_H,V_pname_H,V_vname,V_vname_H] :
      ( c_Com_Ocom_OAss(V_vname,V_fun) != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I32_J_0]) ).

cnf(cls_com_Osimps_I14_J_0,axiom,
    c_Com_Ocom_OSKIP != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H),
    input ).

fof(cls_com_Osimps_I14_J_0_0,plain,
    ! [V_com1_H,V_com2_H,V_fun_H] :
      ( c_Com_Ocom_OSKIP != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I14_J_0]) ).

cnf(cls_inj__on__empty_0,axiom,
    c_Fun_Oinj__on(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b),
    input ).

fof(cls_inj__on__empty_0_0,plain,
    ! [T_a,T_b,V_f] :
      ( c_Fun_Oinj__on(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b)
      | $false ),
    inference(orientation,[status(thm)],[cls_inj__on__empty_0]) ).

cnf(cls_WT_OAssign_0,axiom,
    c_Com_OWT(c_Com_Ocom_OAss(V_X,V_a)),
    input ).

fof(cls_WT_OAssign_0_0,plain,
    ! [V_X,V_a] :
      ( c_Com_OWT(c_Com_Ocom_OAss(V_X,V_a))
      | $false ),
    inference(orientation,[status(thm)],[cls_WT_OAssign_0]) ).

cnf(cls_image__diff__subset_0,axiom,
    c_lessequals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),tc_fun(T_a,tc_bool)),
    input ).

fof(cls_image__diff__subset_0_0,plain,
    ! [T_a,T_b,V_A,V_B,V_f] :
      ( c_lessequals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_image__diff__subset_0]) ).

cnf(cls_WT_OSkip_0,axiom,
    c_Com_OWT(c_Com_Ocom_OSKIP),
    input ).

fof(cls_WT_OSkip_0_0,plain,
    ( c_Com_OWT(c_Com_Ocom_OSKIP)
    | $false ),
    inference(orientation,[status(thm)],[cls_WT_OSkip_0]) ).

cnf(cls_doubleton__eq__iff_4,axiom,
    c_Set_Oinsert(V_xa,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = c_Set_Oinsert(V_x,c_Set_Oinsert(V_xa,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a),
    input ).

fof(cls_doubleton__eq__iff_4_0,plain,
    ! [T_a,V_x,V_xa] :
      ( c_Set_Oinsert(V_xa,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = c_Set_Oinsert(V_x,c_Set_Oinsert(V_xa,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_doubleton__eq__iff_4]) ).

cnf(cls_option_Osimps_I2_J_0,axiom,
    c_Option_Ooption_ONone(T_a) != c_Option_Ooption_OSome(V_a_H,T_a),
    input ).

fof(cls_option_Osimps_I2_J_0_0,plain,
    ! [T_a,V_a_H] :
      ( c_Option_Ooption_ONone(T_a) != c_Option_Ooption_OSome(V_a_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_option_Osimps_I2_J_0]) ).

cnf(cls_not__Some__eq_1,axiom,
    c_Option_Ooption_ONone(T_a) != c_Option_Ooption_OSome(V_y,T_a),
    input ).

fof(cls_not__Some__eq_1_0,plain,
    ! [T_a,V_y] :
      ( c_Option_Ooption_ONone(T_a) != c_Option_Ooption_OSome(V_y,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_not__Some__eq_1]) ).

cnf(cls_rangeI_0,axiom,
    hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a))),
    input ).

fof(cls_rangeI_0_0,plain,
    ! [T_a,T_b,V_f,V_x] :
      ( hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a)))
      | $false ),
    inference(orientation,[status(thm)],[cls_rangeI_0]) ).

cnf(cls_com_Osimps_I65_J_0,axiom,
    c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OAss(V_vname,V_fun),T_a) = hAPP(hAPP(V_f2,V_vname),V_fun),
    input ).

fof(cls_com_Osimps_I65_J_0_0,plain,
    ! [T_a,V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_fun,V_vname] :
      ( c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OAss(V_vname,V_fun),T_a) = hAPP(hAPP(V_f2,V_vname),V_fun)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I65_J_0]) ).

cnf(cls_Diff__idemp_0,axiom,
    c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Diff__idemp_0_0,plain,
    ! [T_a,V_A,V_B] :
      ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Diff__idemp_0]) ).

cnf(cls_COMBC__def_0,axiom,
    hAPP(c_COMBC(V_P,V_Q,T_b,T_c,T_a),V_R) = hAPP(hAPP(V_P,V_R),V_Q),
    input ).

fof(cls_COMBC__def_0_0,plain,
    ! [T_a,T_b,T_c,V_P,V_Q,V_R] :
      ( hAPP(c_COMBC(V_P,V_Q,T_b,T_c,T_a),V_R) = hAPP(hAPP(V_P,V_R),V_Q)
      | $false ),
    inference(orientation,[status(thm)],[cls_COMBC__def_0]) ).

cnf(cls_insert__commute_0,axiom,
    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),
    input ).

fof(cls_insert__commute_0_0,plain,
    ! [T_a,V_A,V_x,V_y] :
      ( 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)
      | $false ),
    inference(orientation,[status(thm)],[cls_insert__commute_0]) ).

cnf(cls_com_Osimps_I71_J_0,axiom,
    c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OCall(V_vname,V_pname,V_fun),T_a) = hAPP(hAPP(hAPP(V_f8,V_vname),V_pname),V_fun),
    input ).

fof(cls_com_Osimps_I71_J_0_0,plain,
    ! [T_a,V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_fun,V_pname,V_vname] :
      ( c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OCall(V_vname,V_pname,V_fun),T_a) = hAPP(hAPP(hAPP(V_f8,V_vname),V_pname),V_fun)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I71_J_0]) ).

cnf(cls_inj__on__id_0,axiom,
    c_Fun_Oinj__on(c_Fun_Oid(T_a),V_A,T_a,T_a),
    input ).

fof(cls_inj__on__id_0_0,plain,
    ! [T_a,V_A] :
      ( c_Fun_Oinj__on(c_Fun_Oid(T_a),V_A,T_a,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_inj__on__id_0]) ).

cnf(cls_insertCI_1,axiom,
    hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,V_B,T_a))),
    input ).

fof(cls_insertCI_1_0,plain,
    ! [T_a,V_B,V_x] :
      ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,V_B,T_a)))
      | $false ),
    inference(orientation,[status(thm)],[cls_insertCI_1]) ).

cnf(cls_insertI1_0,axiom,
    hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_a,V_B,T_a))),
    input ).

fof(cls_insertI1_0_0,plain,
    ! [T_a,V_B,V_a] :
      ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_a,V_B,T_a)))
      | $false ),
    inference(orientation,[status(thm)],[cls_insertI1_0]) ).

cnf(cls_insert__iff_1,axiom,
    hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,V_A,T_a))),
    input ).

fof(cls_insert__iff_1_0,plain,
    ! [T_a,V_A,V_x] :
      ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,V_A,T_a)))
      | $false ),
    inference(orientation,[status(thm)],[cls_insert__iff_1]) ).

cnf(cls_com_Osimps_I51_J_0,axiom,
    c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) != c_Com_Ocom_OSemi(V_com1,V_com2),
    input ).

fof(cls_com_Osimps_I51_J_0_0,plain,
    ! [V_com1,V_com2,V_fun_H,V_pname_H,V_vname_H] :
      ( c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) != c_Com_Ocom_OSemi(V_com1,V_com2)
      | $false ),
    inference(orientation,[status(thm)],[cls_com_Osimps_I51_J_0]) ).

cnf(cls_comp__def__raw_0,axiom,
    hAPP(c_Fun_Ocomp(v_f,v_g,t_a,t_b,t_c),v_x) = hAPP(v_f,hAPP(v_g,v_x)),
    input ).

fof(cls_comp__def__raw_0_0,plain,
    ( hAPP(c_Fun_Ocomp(v_f,v_g,t_a,t_b,t_c),v_x) = hAPP(v_f,hAPP(v_g,v_x))
    | $false ),
    inference(orientation,[status(thm)],[cls_comp__def__raw_0]) ).

fof(def_lhs_atom1,axiom,
    ( lhs_atom1
  <=> hAPP(c_Fun_Ocomp(v_f,v_g,t_a,t_b,t_c),v_x) = hAPP(v_f,hAPP(v_g,v_x)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_0,plain,
    ( lhs_atom1
    | $false ),
    inference(fold_definition,[status(thm)],[cls_comp__def__raw_0_0,def_lhs_atom1]) ).

fof(def_lhs_atom2,axiom,
    ! [V_vname_H,V_pname_H,V_fun_H,V_com2,V_com1] :
      ( lhs_atom2(V_vname_H,V_pname_H,V_fun_H,V_com2,V_com1)
    <=> c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) != c_Com_Ocom_OSemi(V_com1,V_com2) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_1,plain,
    ! [V_com1,V_com2,V_fun_H,V_pname_H,V_vname_H] :
      ( lhs_atom2(V_vname_H,V_pname_H,V_fun_H,V_com2,V_com1)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I51_J_0_0,def_lhs_atom2]) ).

fof(def_lhs_atom3,axiom,
    ! [V_x,V_A,T_a] :
      ( lhs_atom3(V_x,V_A,T_a)
    <=> hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,V_A,T_a))) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_2,plain,
    ! [T_a,V_A,V_x] :
      ( lhs_atom3(V_x,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_insert__iff_1_0,def_lhs_atom3]) ).

fof(def_lhs_atom4,axiom,
    ! [V_a,V_B,T_a] :
      ( lhs_atom4(V_a,V_B,T_a)
    <=> hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_a,V_B,T_a))) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_3,plain,
    ! [T_a,V_B,V_a] :
      ( lhs_atom4(V_a,V_B,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_insertI1_0_0,def_lhs_atom4]) ).

fof(def_lhs_atom5,axiom,
    ! [V_x,V_B,T_a] :
      ( lhs_atom5(V_x,V_B,T_a)
    <=> hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,V_B,T_a))) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_4,plain,
    ! [T_a,V_B,V_x] :
      ( lhs_atom5(V_x,V_B,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_insertCI_1_0,def_lhs_atom5]) ).

fof(def_lhs_atom6,axiom,
    ! [V_A,T_a] :
      ( lhs_atom6(V_A,T_a)
    <=> c_Fun_Oinj__on(c_Fun_Oid(T_a),V_A,T_a,T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_5,plain,
    ! [T_a,V_A] :
      ( lhs_atom6(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_inj__on__id_0_0,def_lhs_atom6]) ).

fof(def_lhs_atom7,axiom,
    ! [V_vname,V_pname,V_fun,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f1,T_a] :
      ( lhs_atom7(V_vname,V_pname,V_fun,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f1,T_a)
    <=> c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OCall(V_vname,V_pname,V_fun),T_a) = hAPP(hAPP(hAPP(V_f8,V_vname),V_pname),V_fun) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_6,plain,
    ! [T_a,V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_fun,V_pname,V_vname] :
      ( lhs_atom7(V_vname,V_pname,V_fun,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I71_J_0_0,def_lhs_atom7]) ).

fof(def_lhs_atom8,axiom,
    ! [V_y,V_x,V_A,T_a] :
      ( lhs_atom8(V_y,V_x,V_A,T_a)
    <=> 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) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_7,plain,
    ! [T_a,V_A,V_x,V_y] :
      ( lhs_atom8(V_y,V_x,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_insert__commute_0_0,def_lhs_atom8]) ).

fof(def_lhs_atom9,axiom,
    ! [V_R,V_Q,V_P,T_c,T_b,T_a] :
      ( lhs_atom9(V_R,V_Q,V_P,T_c,T_b,T_a)
    <=> hAPP(c_COMBC(V_P,V_Q,T_b,T_c,T_a),V_R) = hAPP(hAPP(V_P,V_R),V_Q) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_8,plain,
    ! [T_a,T_b,T_c,V_P,V_Q,V_R] :
      ( lhs_atom9(V_R,V_Q,V_P,T_c,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_COMBC__def_0_0,def_lhs_atom9]) ).

fof(def_lhs_atom10,axiom,
    ! [V_B,V_A,T_a] :
      ( lhs_atom10(V_B,V_A,T_a)
    <=> c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_9,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom10(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Diff__idemp_0_0,def_lhs_atom10]) ).

fof(def_lhs_atom11,axiom,
    ! [V_vname,V_fun,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f1,T_a] :
      ( lhs_atom11(V_vname,V_fun,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f1,T_a)
    <=> c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OAss(V_vname,V_fun),T_a) = hAPP(hAPP(V_f2,V_vname),V_fun) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_10,plain,
    ! [T_a,V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_fun,V_vname] :
      ( lhs_atom11(V_vname,V_fun,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I65_J_0_0,def_lhs_atom11]) ).

fof(def_lhs_atom12,axiom,
    ! [V_x,V_f,T_b,T_a] :
      ( lhs_atom12(V_x,V_f,T_b,T_a)
    <=> hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a))) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_11,plain,
    ! [T_a,T_b,V_f,V_x] :
      ( lhs_atom12(V_x,V_f,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_rangeI_0_0,def_lhs_atom12]) ).

fof(def_lhs_atom13,axiom,
    ! [V_y,T_a] :
      ( lhs_atom13(V_y,T_a)
    <=> c_Option_Ooption_ONone(T_a) != c_Option_Ooption_OSome(V_y,T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_12,plain,
    ! [T_a,V_y] :
      ( lhs_atom13(V_y,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_not__Some__eq_1_0,def_lhs_atom13]) ).

fof(def_lhs_atom14,axiom,
    ! [V_a_H,T_a] :
      ( lhs_atom14(V_a_H,T_a)
    <=> c_Option_Ooption_ONone(T_a) != c_Option_Ooption_OSome(V_a_H,T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_13,plain,
    ! [T_a,V_a_H] :
      ( lhs_atom14(V_a_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_option_Osimps_I2_J_0_0,def_lhs_atom14]) ).

fof(def_lhs_atom15,axiom,
    ! [V_xa,V_x,T_a] :
      ( lhs_atom15(V_xa,V_x,T_a)
    <=> c_Set_Oinsert(V_xa,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = c_Set_Oinsert(V_x,c_Set_Oinsert(V_xa,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_14,plain,
    ! [T_a,V_x,V_xa] :
      ( lhs_atom15(V_xa,V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_doubleton__eq__iff_4_0,def_lhs_atom15]) ).

fof(def_lhs_atom16,axiom,
    ( lhs_atom16
  <=> c_Com_OWT(c_Com_Ocom_OSKIP) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_15,plain,
    ( lhs_atom16
    | $false ),
    inference(fold_definition,[status(thm)],[cls_WT_OSkip_0_0,def_lhs_atom16]) ).

fof(def_lhs_atom17,axiom,
    ! [V_f,V_B,V_A,T_b,T_a] :
      ( lhs_atom17(V_f,V_B,V_A,T_b,T_a)
    <=> c_lessequals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),tc_fun(T_a,tc_bool)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_16,plain,
    ! [T_a,T_b,V_A,V_B,V_f] :
      ( lhs_atom17(V_f,V_B,V_A,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_image__diff__subset_0_0,def_lhs_atom17]) ).

fof(def_lhs_atom18,axiom,
    ! [V_a,V_X] :
      ( lhs_atom18(V_a,V_X)
    <=> c_Com_OWT(c_Com_Ocom_OAss(V_X,V_a)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_17,plain,
    ! [V_X,V_a] :
      ( lhs_atom18(V_a,V_X)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_WT_OAssign_0_0,def_lhs_atom18]) ).

fof(def_lhs_atom19,axiom,
    ! [V_f,T_b,T_a] :
      ( lhs_atom19(V_f,T_b,T_a)
    <=> c_Fun_Oinj__on(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_18,plain,
    ! [T_a,T_b,V_f] :
      ( lhs_atom19(V_f,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_inj__on__empty_0_0,def_lhs_atom19]) ).

fof(def_lhs_atom20,axiom,
    ! [V_fun_H,V_com2_H,V_com1_H] :
      ( lhs_atom20(V_fun_H,V_com2_H,V_com1_H)
    <=> c_Com_Ocom_OSKIP != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_19,plain,
    ! [V_com1_H,V_com2_H,V_fun_H] :
      ( lhs_atom20(V_fun_H,V_com2_H,V_com1_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I14_J_0_0,def_lhs_atom20]) ).

fof(def_lhs_atom21,axiom,
    ! [V_vname_H,V_vname,V_pname_H,V_fun_H,V_fun] :
      ( lhs_atom21(V_vname_H,V_vname,V_pname_H,V_fun_H,V_fun)
    <=> c_Com_Ocom_OAss(V_vname,V_fun) != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_20,plain,
    ! [V_fun,V_fun_H,V_pname_H,V_vname,V_vname_H] :
      ( lhs_atom21(V_vname_H,V_vname,V_pname_H,V_fun_H,V_fun)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I32_J_0_0,def_lhs_atom21]) ).

fof(def_lhs_atom22,axiom,
    ! [V_B,V_A,T_a] :
      ( lhs_atom22(V_B,V_A,T_a)
    <=> c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_21,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom22(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Diff__subset_0_0,def_lhs_atom22]) ).

fof(def_lhs_atom23,axiom,
    ! [V_a,V_A,T_a] :
      ( lhs_atom23(V_a,V_A,T_a)
    <=> c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a) = c_Set_Oinsert(V_a,V_A,T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_22,plain,
    ! [T_a,V_A,V_a] :
      ( lhs_atom23(V_a,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_insert__Diff__single_0_0,def_lhs_atom23]) ).

fof(def_lhs_atom24,axiom,
    ! [V_vname_H,V_pname_H,V_loc,V_fun_H,V_fun,V_com] :
      ( lhs_atom24(V_vname_H,V_pname_H,V_loc,V_fun_H,V_fun,V_com)
    <=> c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) != c_Com_Ocom_OLocal(V_loc,V_fun,V_com) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_23,plain,
    ! [V_com,V_fun,V_fun_H,V_loc,V_pname_H,V_vname_H] :
      ( lhs_atom24(V_vname_H,V_pname_H,V_loc,V_fun_H,V_fun,V_com)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I43_J_0_0,def_lhs_atom24]) ).

fof(def_lhs_atom25,axiom,
    ! [V_vname_H,V_pname_H,V_fun_H,V_fun,V_com] :
      ( lhs_atom25(V_vname_H,V_pname_H,V_fun_H,V_fun,V_com)
    <=> c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) != c_Com_Ocom_OWhile(V_fun,V_com) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_24,plain,
    ! [V_com,V_fun,V_fun_H,V_pname_H,V_vname_H] :
      ( lhs_atom25(V_vname_H,V_pname_H,V_fun_H,V_fun,V_com)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I61_J_0_0,def_lhs_atom25]) ).

fof(def_lhs_atom26,axiom,
    ! [V_g,T_b,T_a] :
      ( lhs_atom26(V_g,T_b,T_a)
    <=> c_Fun_Ocomp(c_Fun_Oid(T_b),V_g,T_b,T_b,T_a) = V_g ),
    inference(definition,[],[]) ).

fof(to_be_clausified_25,plain,
    ! [T_a,T_b,V_g] :
      ( lhs_atom26(V_g,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_id__o_0_0,def_lhs_atom26]) ).

fof(def_lhs_atom27,axiom,
    ! [V_f,T_b,T_a] :
      ( lhs_atom27(V_f,T_b,T_a)
    <=> c_Fun_Ocomp(V_f,c_Fun_Oid(T_a),T_a,T_b,T_a) = V_f ),
    inference(definition,[],[]) ).

fof(to_be_clausified_26,plain,
    ! [T_a,T_b,V_f] :
      ( lhs_atom27(V_f,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_o__id_0_0,def_lhs_atom27]) ).

fof(def_lhs_atom28,axiom,
    ! [V_vname_H,V_pname_H,V_fun_H,V_fun,V_com2,V_com1] :
      ( lhs_atom28(V_vname_H,V_pname_H,V_fun_H,V_fun,V_com2,V_com1)
    <=> c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_27,plain,
    ! [V_com1,V_com2,V_fun,V_fun_H,V_pname_H,V_vname_H] :
      ( lhs_atom28(V_vname_H,V_pname_H,V_fun_H,V_fun,V_com2,V_com1)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I56_J_0_0,def_lhs_atom28]) ).

fof(def_lhs_atom29,axiom,
    ! [V_loc,V_fun_H,V_fun,V_com2_H,V_com1_H,V_com] :
      ( lhs_atom29(V_loc,V_fun_H,V_fun,V_com2_H,V_com1_H,V_com)
    <=> c_Com_Ocom_OLocal(V_loc,V_fun,V_com) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_28,plain,
    ! [V_com,V_com1_H,V_com2_H,V_fun,V_fun_H,V_loc] :
      ( lhs_atom29(V_loc,V_fun_H,V_fun,V_com2_H,V_com1_H,V_com)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I36_J_0_0,def_lhs_atom29]) ).

fof(def_lhs_atom30,axiom,
    ! [V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f1,T_a] :
      ( lhs_atom30(V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f1,T_a)
    <=> c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OSKIP,T_a) = V_f1 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_29,plain,
    ! [T_a,V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8] :
      ( lhs_atom30(V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Orecs_I1_J_0_0,def_lhs_atom30]) ).

fof(def_lhs_atom31,axiom,
    ! [V_vname,V_fun,V_com2_H,V_com1_H] :
      ( lhs_atom31(V_vname,V_fun,V_com2_H,V_com1_H)
    <=> c_Com_Ocom_OAss(V_vname,V_fun) != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_30,plain,
    ! [V_com1_H,V_com2_H,V_fun,V_vname] :
      ( lhs_atom31(V_vname,V_fun,V_com2_H,V_com1_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I24_J_0_0,def_lhs_atom31]) ).

fof(def_lhs_atom32,axiom,
    ! [V_loc,V_fun,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f1,V_com,T_a] :
      ( lhs_atom32(V_loc,V_fun,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f1,V_com,T_a)
    <=> c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OLocal(V_loc,V_fun,V_com),T_a) = hAPP(hAPP(hAPP(hAPP(V_f3,V_loc),V_fun),V_com),c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_com,T_a)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_31,plain,
    ! [T_a,V_com,V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_fun,V_loc] :
      ( lhs_atom32(V_loc,V_fun,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f1,V_com,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Orecs_I3_J_0_0,def_lhs_atom32]) ).

fof(def_lhs_atom33,axiom,
    ! [V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f1,V_com2,V_com1,T_a] :
      ( lhs_atom33(V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f1,V_com2,V_com1,T_a)
    <=> c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OSemi(V_com1,V_com2),T_a) = hAPP(hAPP(hAPP(hAPP(V_f4,V_com1),V_com2),c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_com1,T_a)),c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_com2,T_a)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_32,plain,
    ! [T_a,V_com1,V_com2,V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8] :
      ( lhs_atom33(V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f1,V_com2,V_com1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Orecs_I4_J_0_0,def_lhs_atom33]) ).

fof(def_lhs_atom34,axiom,
    ! [V_fun_H,V_com_H] :
      ( lhs_atom34(V_fun_H,V_com_H)
    <=> c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OSKIP ),
    inference(definition,[],[]) ).

fof(to_be_clausified_33,plain,
    ! [V_com_H,V_fun_H] :
      ( lhs_atom34(V_fun_H,V_com_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I17_J_0_0,def_lhs_atom34]) ).

fof(def_lhs_atom35,axiom,
    ! [V_loc,V_fun_H,V_fun,V_com_H,V_com] :
      ( lhs_atom35(V_loc,V_fun_H,V_fun,V_com_H,V_com)
    <=> c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OLocal(V_loc,V_fun,V_com) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_34,plain,
    ! [V_com,V_com_H,V_fun,V_fun_H,V_loc] :
      ( lhs_atom35(V_loc,V_fun_H,V_fun,V_com_H,V_com)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I39_J_0_0,def_lhs_atom35]) ).

fof(def_lhs_atom36,axiom,
    ! [V_f,V_B,V_A,T_b,T_a] :
      ( lhs_atom36(V_f,V_B,V_A,T_b,T_a)
    <=> c_Set_Ovimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_HOL_Ominus__class_Ominus(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_35,plain,
    ! [T_a,T_b,V_A,V_B,V_f] :
      ( lhs_atom36(V_f,V_B,V_A,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_vimage__Diff_0_0,def_lhs_atom36]) ).

fof(def_lhs_atom37,axiom,
    ! [V_nat_H] :
      ( lhs_atom37(V_nat_H)
    <=> c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_nat_H) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_36,plain,
    ! [V_nat_H] :
      ( lhs_atom37(V_nat_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_nat_Osimps_I2_J_0_0,def_lhs_atom37]) ).

fof(def_lhs_atom38,axiom,
    ! [V_m] :
      ( lhs_atom38(V_m)
    <=> c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_m) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_37,plain,
    ! [V_m] :
      ( lhs_atom38(V_m)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Zero__neq__Suc_0_0,def_lhs_atom38]) ).

fof(def_lhs_atom39,axiom,
    ! [V_f,V_A,T_b,T_a] :
      ( lhs_atom39(V_f,V_A,T_b,T_a)
    <=> c_lessequals(c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b,T_a),V_A,tc_fun(T_a,tc_bool)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_38,plain,
    ! [T_a,T_b,V_A,V_f] :
      ( lhs_atom39(V_f,V_A,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_image__vimage__subset_0_0,def_lhs_atom39]) ).

fof(def_lhs_atom40,axiom,
    ! [V_A,T_a] :
      ( lhs_atom40(V_A,T_a)
    <=> c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_39,plain,
    ! [T_a,V_A] :
      ( lhs_atom40(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_empty__subsetI_0_0,def_lhs_atom40]) ).

fof(def_lhs_atom41,axiom,
    ! [V_f,T_b,T_a] :
      ( lhs_atom41(V_f,T_b,T_a)
    <=> c_Set_Ovimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_a,T_b) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_40,plain,
    ! [T_a,T_b,V_f] :
      ( lhs_atom41(V_f,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_vimage__UNIV_0_0,def_lhs_atom41]) ).

fof(def_lhs_atom42,axiom,
    ! [V_fun_H,V_com_H,V_com2,V_com1] :
      ( lhs_atom42(V_fun_H,V_com_H,V_com2,V_com1)
    <=> c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OWhile(V_fun_H,V_com_H) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_41,plain,
    ! [V_com1,V_com2,V_com_H,V_fun_H] :
      ( lhs_atom42(V_fun_H,V_com_H,V_com2,V_com1)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I46_J_0_0,def_lhs_atom42]) ).

fof(def_lhs_atom43,axiom,
    ! [V_a,V_B,V_A,T_a] :
      ( lhs_atom43(V_a,V_B,V_A,T_a)
    <=> c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_42,plain,
    ! [T_a,V_A,V_B,V_a] :
      ( lhs_atom43(V_a,V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Diff__insert_0_0,def_lhs_atom43]) ).

fof(def_lhs_atom44,axiom,
    ! [V_a,V_B,V_A,T_a] :
      ( lhs_atom44(V_a,V_B,V_A,T_a)
    <=> c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_43,plain,
    ! [T_a,V_A,V_B,V_a] :
      ( lhs_atom44(V_a,V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Diff__insert2_0_0,def_lhs_atom44]) ).

fof(def_lhs_atom45,axiom,
    ! [V_fun_H,V_com2_H,V_com2,V_com1_H,V_com1] :
      ( lhs_atom45(V_fun_H,V_com2_H,V_com2,V_com1_H,V_com1)
    <=> c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_44,plain,
    ! [V_com1,V_com1_H,V_com2,V_com2_H,V_fun_H] :
      ( lhs_atom45(V_fun_H,V_com2_H,V_com2,V_com1_H,V_com1)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I44_J_0_0,def_lhs_atom45]) ).

fof(def_lhs_atom46,axiom,
    ! [V_a,V_A,T_a] :
      ( lhs_atom46(V_a,V_A,T_a)
    <=> c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_45,plain,
    ! [T_a,V_A,V_a] :
      ( lhs_atom46(V_a,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_insert__not__empty_0_0,def_lhs_atom46]) ).

fof(def_lhs_atom47,axiom,
    ! [V_loc,V_fun,V_com2_H,V_com1_H,V_com] :
      ( lhs_atom47(V_loc,V_fun,V_com2_H,V_com1_H,V_com)
    <=> c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OLocal(V_loc,V_fun,V_com) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_46,plain,
    ! [V_com,V_com1_H,V_com2_H,V_fun,V_loc] :
      ( lhs_atom47(V_loc,V_fun,V_com2_H,V_com1_H,V_com)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I35_J_0_0,def_lhs_atom47]) ).

fof(def_lhs_atom48,axiom,
    ! [V_f,V_a,T_aa,T_a] :
      ( lhs_atom48(V_f,V_a,T_aa,T_a)
    <=> hBOOL(hAPP(hAPP(c_in(T_aa),V_a),c_Set_Ovimage(V_f,c_Set_Oinsert(hAPP(V_f,V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_aa,T_a))) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_47,plain,
    ! [T_a,T_aa,V_a,V_f] :
      ( lhs_atom48(V_f,V_a,T_aa,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_vimage__singleton__eq_1_0,def_lhs_atom48]) ).

fof(def_lhs_atom49,axiom,
    ! [V_x,V_A,T_a] :
      ( lhs_atom49(V_x,V_A,T_a)
    <=> 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) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_48,plain,
    ! [T_a,V_A,V_x] :
      ( lhs_atom49(V_x,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_insert__absorb2_0_0,def_lhs_atom49]) ).

fof(def_lhs_atom50,axiom,
    ! [V_vname,V_loc_H,V_fun_H,V_fun,V_com_H] :
      ( lhs_atom50(V_vname,V_loc_H,V_fun_H,V_fun,V_com_H)
    <=> c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H) != c_Com_Ocom_OAss(V_vname,V_fun) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_49,plain,
    ! [V_com_H,V_fun,V_fun_H,V_loc_H,V_vname] :
      ( lhs_atom50(V_vname,V_loc_H,V_fun_H,V_fun,V_com_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I23_J_0_0,def_lhs_atom50]) ).

fof(def_lhs_atom51,axiom,
    ! [V_fun_H,V_fun,V_com_H,V_com2,V_com1] :
      ( lhs_atom51(V_fun_H,V_fun,V_com_H,V_com2,V_com1)
    <=> c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != c_Com_Ocom_OWhile(V_fun_H,V_com_H) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_50,plain,
    ! [V_com1,V_com2,V_com_H,V_fun,V_fun_H] :
      ( lhs_atom51(V_fun_H,V_fun,V_com_H,V_com2,V_com1)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I52_J_0_0,def_lhs_atom51]) ).

fof(def_lhs_atom52,axiom,
    ! [V_loc,V_fun_H,V_fun,V_com2_H,V_com1_H,V_com] :
      ( lhs_atom52(V_loc,V_fun_H,V_fun,V_com2_H,V_com1_H,V_com)
    <=> c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) != c_Com_Ocom_OLocal(V_loc,V_fun,V_com) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_51,plain,
    ! [V_com,V_com1_H,V_com2_H,V_fun,V_fun_H,V_loc] :
      ( lhs_atom52(V_loc,V_fun_H,V_fun,V_com2_H,V_com1_H,V_com)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I37_J_0_0,def_lhs_atom52]) ).

fof(def_lhs_atom53,axiom,
    ! [V_a,V_B,T_a] :
      ( lhs_atom53(V_a,V_B,T_a)
    <=> c_lessequals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_52,plain,
    ! [T_a,V_B,V_a] :
      ( lhs_atom53(V_a,V_B,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_subset__insertI_0_0,def_lhs_atom53]) ).

fof(def_lhs_atom54,axiom,
    ! [V_fun_H,V_com2_H,V_com2,V_com1_H,V_com1] :
      ( lhs_atom54(V_fun_H,V_com2_H,V_com2,V_com1_H,V_com1)
    <=> c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) != c_Com_Ocom_OSemi(V_com1,V_com2) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_53,plain,
    ! [V_com1,V_com1_H,V_com2,V_com2_H,V_fun_H] :
      ( lhs_atom54(V_fun_H,V_com2_H,V_com2,V_com1_H,V_com1)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I45_J_0_0,def_lhs_atom54]) ).

fof(def_lhs_atom55,axiom,
    ! [V_x,T_a] :
      ( lhs_atom55(V_x,T_a)
    <=> hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)))) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_54,plain,
    ! [T_a,V_x] :
      ( lhs_atom55(V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_UNIV__I_0_0,def_lhs_atom55]) ).

fof(def_lhs_atom56,axiom,
    ! [V_a_H,T_a] :
      ( lhs_atom56(V_a_H,T_a)
    <=> c_Option_Ooption_OSome(V_a_H,T_a) != c_Option_Ooption_ONone(T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_55,plain,
    ! [T_a,V_a_H] :
      ( lhs_atom56(V_a_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_option_Osimps_I3_J_0_0,def_lhs_atom56]) ).

fof(def_lhs_atom57,axiom,
    ! [V_xa,T_a] :
      ( lhs_atom57(V_xa,T_a)
    <=> c_Option_Ooption_OSome(V_xa,T_a) != c_Option_Ooption_ONone(T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_56,plain,
    ! [T_a,V_xa] :
      ( lhs_atom57(V_xa,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_not__None__eq_1_0,def_lhs_atom57]) ).

fof(def_lhs_atom58,axiom,
    ! [V_vname_H,V_pname_H,V_fun_H,V_fun,V_com2,V_com1] :
      ( lhs_atom58(V_vname_H,V_pname_H,V_fun_H,V_fun,V_com2,V_com1)
    <=> c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) != c_Com_Ocom_OCond(V_fun,V_com1,V_com2) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_57,plain,
    ! [V_com1,V_com2,V_fun,V_fun_H,V_pname_H,V_vname_H] :
      ( lhs_atom58(V_vname_H,V_pname_H,V_fun_H,V_fun,V_com2,V_com1)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I57_J_0_0,def_lhs_atom58]) ).

fof(def_lhs_atom59,axiom,
    ! [V_A,T_a] :
      ( lhs_atom59(V_A,T_a)
    <=> c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ),
    inference(definition,[],[]) ).

fof(to_be_clausified_58,plain,
    ! [T_a,V_A] :
      ( lhs_atom59(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Diff__empty_0_0,def_lhs_atom59]) ).

fof(def_lhs_atom60,axiom,
    ! [V_A,T_a] :
      ( lhs_atom60(V_A,T_a)
    <=> c_HOL_Ominus__class_Ominus(V_A,V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_59,plain,
    ! [T_a,V_A] :
      ( lhs_atom60(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Diff__cancel_0_0,def_lhs_atom60]) ).

fof(def_lhs_atom61,axiom,
    ! [V_x,V_g,V_f,T_c,T_b,T_a] :
      ( lhs_atom61(V_x,V_g,V_f,T_c,T_b,T_a)
    <=> hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x) = hAPP(V_f,hAPP(V_g,V_x)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_60,plain,
    ! [T_a,T_b,T_c,V_f,V_g,V_x] :
      ( lhs_atom61(V_x,V_g,V_f,T_c,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_o__apply_0_0,def_lhs_atom61]) ).

fof(def_lhs_atom62,axiom,
    ! [V_v,V_b,V_a,T_c,T_b,T_a] :
      ( lhs_atom62(V_v,V_b,V_a,T_c,T_b,T_a)
    <=> hAPP(c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a),V_v) = hAPP(V_a,hAPP(V_b,V_v)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_61,plain,
    ! [T_a,T_b,T_c,V_a,V_b,V_v] :
      ( lhs_atom62(V_v,V_b,V_a,T_c,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_o__eq__dest__lhs_0_0,def_lhs_atom62]) ).

fof(def_lhs_atom63,axiom,
    ! [V_vname,V_fun_H,V_fun,V_com_H] :
      ( lhs_atom63(V_vname,V_fun_H,V_fun,V_com_H)
    <=> c_Com_Ocom_OAss(V_vname,V_fun) != c_Com_Ocom_OWhile(V_fun_H,V_com_H) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_62,plain,
    ! [V_com_H,V_fun,V_fun_H,V_vname] :
      ( lhs_atom63(V_vname,V_fun_H,V_fun,V_com_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I28_J_0_0,def_lhs_atom63]) ).

fof(def_lhs_atom64,axiom,
    ! [V_vname,V_loc_H,V_fun_H,V_fun,V_com_H] :
      ( lhs_atom64(V_vname,V_loc_H,V_fun_H,V_fun,V_com_H)
    <=> c_Com_Ocom_OAss(V_vname,V_fun) != c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_63,plain,
    ! [V_com_H,V_fun,V_fun_H,V_loc_H,V_vname] :
      ( lhs_atom64(V_vname,V_loc_H,V_fun_H,V_fun,V_com_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I22_J_0_0,def_lhs_atom64]) ).

fof(def_lhs_atom65,axiom,
    ( lhs_atom65
  <=> hAPP(c_Fun_Ofcomp(v_f,v_g,t_a,t_b,t_c),v_x) = hAPP(v_g,hAPP(v_f,v_x)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_64,plain,
    ( lhs_atom65
    | $false ),
    inference(fold_definition,[status(thm)],[cls_fcomp__def__raw_0_0,def_lhs_atom65]) ).

fof(def_lhs_atom66,axiom,
    ! [V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f1,T_a] :
      ( lhs_atom66(V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f1,T_a)
    <=> c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OSKIP,T_a) = V_f1 ),
    inference(definition,[],[]) ).

fof(to_be_clausified_65,plain,
    ! [T_a,V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8] :
      ( lhs_atom66(V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I64_J_0_0,def_lhs_atom66]) ).

fof(def_lhs_atom67,axiom,
    ! [V_loc,V_fun_H,V_fun,V_com_H,V_com] :
      ( lhs_atom67(V_loc,V_fun_H,V_fun,V_com_H,V_com)
    <=> c_Com_Ocom_OLocal(V_loc,V_fun,V_com) != c_Com_Ocom_OWhile(V_fun_H,V_com_H) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_66,plain,
    ! [V_com,V_com_H,V_fun,V_fun_H,V_loc] :
      ( lhs_atom67(V_loc,V_fun_H,V_fun,V_com_H,V_com)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I38_J_0_0,def_lhs_atom67]) ).

fof(def_lhs_atom68,axiom,
    ! [V_A,T_a] :
      ( lhs_atom68(V_A,T_a)
    <=> c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_67,plain,
    ! [T_a,V_A] :
      ( lhs_atom68(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_empty__Diff_0_0,def_lhs_atom68]) ).

fof(def_lhs_atom69,axiom,
    ! [V_vname,V_fun_H,V_fun,V_com2_H,V_com1_H] :
      ( lhs_atom69(V_vname,V_fun_H,V_fun,V_com2_H,V_com1_H)
    <=> c_Com_Ocom_OAss(V_vname,V_fun) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_68,plain,
    ! [V_com1_H,V_com2_H,V_fun,V_fun_H,V_vname] :
      ( lhs_atom69(V_vname,V_fun_H,V_fun,V_com2_H,V_com1_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I26_J_0_0,def_lhs_atom69]) ).

fof(def_lhs_atom70,axiom,
    ! [V_fun_H,V_com_H] :
      ( lhs_atom70(V_fun_H,V_com_H)
    <=> c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(V_fun_H,V_com_H) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_69,plain,
    ! [V_com_H,V_fun_H] :
      ( lhs_atom70(V_fun_H,V_com_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I16_J_0_0,def_lhs_atom70]) ).

fof(def_lhs_atom71,axiom,
    ! [V_x,T_a] :
      ( lhs_atom71(V_x,T_a)
    <=> ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_70,plain,
    ! [T_a,V_x] :
      ( lhs_atom71(V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_bot1E_0_0,def_lhs_atom71]) ).

fof(def_lhs_atom72,axiom,
    ! [V_loc_H,V_fun_H,V_com_H] :
      ( lhs_atom72(V_loc_H,V_fun_H,V_com_H)
    <=> c_Com_Ocom_OSKIP != c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_71,plain,
    ! [V_com_H,V_fun_H,V_loc_H] :
      ( lhs_atom72(V_loc_H,V_fun_H,V_com_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I10_J_0_0,def_lhs_atom72]) ).

fof(def_lhs_atom73,axiom,
    ! [T_a] :
      ( lhs_atom73(T_a)
    <=> c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_72,plain,
    ! [T_a] :
      ( lhs_atom73(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_UNIV__not__empty_0_0,def_lhs_atom73]) ).

fof(def_lhs_atom74,axiom,
    ! [V_x,T_a] :
      ( lhs_atom74(V_x,T_a)
    <=> hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_73,plain,
    ! [T_a,V_x] :
      ( lhs_atom74(V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_top1I_0_0,def_lhs_atom74]) ).

fof(def_lhs_atom75,axiom,
    ! [V_A,T_a] :
      ( lhs_atom75(V_A,T_a)
    <=> c_Set_Ovimage(c_Fun_Oid(T_a),V_A,T_a,T_a) = V_A ),
    inference(definition,[],[]) ).

fof(to_be_clausified_74,plain,
    ! [T_a,V_A] :
      ( lhs_atom75(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_vimage__id_0_0,def_lhs_atom75]) ).

fof(def_lhs_atom76,axiom,
    ! [V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f1,V_com2,V_com1,T_a] :
      ( lhs_atom76(V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f1,V_com2,V_com1,T_a)
    <=> c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OSemi(V_com1,V_com2),T_a) = hAPP(hAPP(V_f4,V_com1),V_com2) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_75,plain,
    ! [T_a,V_com1,V_com2,V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8] :
      ( lhs_atom76(V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f1,V_com2,V_com1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I67_J_0_0,def_lhs_atom76]) ).

fof(def_lhs_atom77,axiom,
    ! [V_loc,V_fun,V_com2_H,V_com1_H,V_com] :
      ( lhs_atom77(V_loc,V_fun,V_com2_H,V_com1_H,V_com)
    <=> c_Com_Ocom_OLocal(V_loc,V_fun,V_com) != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_76,plain,
    ! [V_com,V_com1_H,V_com2_H,V_fun,V_loc] :
      ( lhs_atom77(V_loc,V_fun,V_com2_H,V_com1_H,V_com)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I34_J_0_0,def_lhs_atom77]) ).

fof(def_lhs_atom78,axiom,
    ! [V_x,V_g,V_f,T_c,T_b,T_a] :
      ( lhs_atom78(V_x,V_g,V_f,T_c,T_b,T_a)
    <=> c_Set_Ovimage(c_Fun_Ocomp(V_g,V_f,T_c,T_b,T_a),V_x,T_a,T_b) = c_Set_Ovimage(V_f,c_Set_Ovimage(V_g,V_x,T_c,T_b),T_a,T_c) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_77,plain,
    ! [T_a,T_b,T_c,V_f,V_g,V_x] :
      ( lhs_atom78(V_x,V_g,V_f,T_c,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_vimage__compose_0_0,def_lhs_atom78]) ).

fof(def_lhs_atom79,axiom,
    ! [V_vname,V_pname,V_fun,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f1,T_a] :
      ( lhs_atom79(V_vname,V_pname,V_fun,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f1,T_a)
    <=> c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OCall(V_vname,V_pname,V_fun),T_a) = hAPP(hAPP(hAPP(V_f8,V_vname),V_pname),V_fun) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_78,plain,
    ! [T_a,V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_fun,V_pname,V_vname] :
      ( lhs_atom79(V_vname,V_pname,V_fun,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Orecs_I8_J_0_0,def_lhs_atom79]) ).

fof(def_lhs_atom80,axiom,
    ! [V_a,V_A,T_a] :
      ( lhs_atom80(V_a,V_A,T_a)
    <=> c_Set_Oinsert(V_a,V_A,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_A,tc_fun(T_a,tc_bool)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_79,plain,
    ! [T_a,V_A,V_a] :
      ( lhs_atom80(V_a,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_insert__is__Un_0_0,def_lhs_atom80]) ).

fof(def_lhs_atom81,axiom,
    ! [V_fun_H,V_com2_H,V_com1_H] :
      ( lhs_atom81(V_fun_H,V_com2_H,V_com1_H)
    <=> c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP ),
    inference(definition,[],[]) ).

fof(to_be_clausified_80,plain,
    ! [V_com1_H,V_com2_H,V_fun_H] :
      ( lhs_atom81(V_fun_H,V_com2_H,V_com1_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I15_J_0_0,def_lhs_atom81]) ).

fof(def_lhs_atom82,axiom,
    ! [V_fun_H,V_fun,V_com_H,V_com2,V_com1] :
      ( lhs_atom82(V_fun_H,V_fun,V_com_H,V_com2,V_com1)
    <=> c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OCond(V_fun,V_com1,V_com2) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_81,plain,
    ! [V_com1,V_com2,V_com_H,V_fun,V_fun_H] :
      ( lhs_atom82(V_fun_H,V_fun,V_com_H,V_com2,V_com1)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I53_J_0_0,def_lhs_atom82]) ).

fof(def_lhs_atom83,axiom,
    ! [V_vname_H,V_pname_H,V_fun_H,V_com2,V_com1] :
      ( lhs_atom83(V_vname_H,V_pname_H,V_fun_H,V_com2,V_com1)
    <=> c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_82,plain,
    ! [V_com1,V_com2,V_fun_H,V_pname_H,V_vname_H] :
      ( lhs_atom83(V_vname_H,V_pname_H,V_fun_H,V_com2,V_com1)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I50_J_0_0,def_lhs_atom83]) ).

fof(def_lhs_atom84,axiom,
    ! [V_vname,V_fun,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f1,T_a] :
      ( lhs_atom84(V_vname,V_fun,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f1,T_a)
    <=> c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OAss(V_vname,V_fun),T_a) = hAPP(hAPP(V_f2,V_vname),V_fun) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_83,plain,
    ! [T_a,V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_fun,V_vname] :
      ( lhs_atom84(V_vname,V_fun,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Orecs_I2_J_0_0,def_lhs_atom84]) ).

fof(def_lhs_atom85,axiom,
    ! [V_vname,V_fun_H,V_fun,V_com2_H,V_com1_H] :
      ( lhs_atom85(V_vname,V_fun_H,V_fun,V_com2_H,V_com1_H)
    <=> c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) != c_Com_Ocom_OAss(V_vname,V_fun) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_84,plain,
    ! [V_com1_H,V_com2_H,V_fun,V_fun_H,V_vname] :
      ( lhs_atom85(V_vname,V_fun_H,V_fun,V_com2_H,V_com1_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I27_J_0_0,def_lhs_atom85]) ).

fof(def_lhs_atom86,axiom,
    ! [V_fun,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f1,V_com,T_a] :
      ( lhs_atom86(V_fun,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f1,V_com,T_a)
    <=> c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OWhile(V_fun,V_com),T_a) = hAPP(hAPP(hAPP(V_f6,V_fun),V_com),c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_com,T_a)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_85,plain,
    ! [T_a,V_com,V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_fun] :
      ( lhs_atom86(V_fun,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f1,V_com,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Orecs_I6_J_0_0,def_lhs_atom86]) ).

fof(def_lhs_atom87,axiom,
    ! [V_x,T_a] :
      ( lhs_atom87(V_x,T_a)
    <=> hAPP(c_Fun_Oid(T_a),V_x) = V_x ),
    inference(definition,[],[]) ).

fof(to_be_clausified_86,plain,
    ! [T_a,V_x] :
      ( lhs_atom87(V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_id__apply_0_0,def_lhs_atom87]) ).

fof(def_lhs_atom88,axiom,
    ! [V_fun,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f1,V_com2,V_com1,T_a] :
      ( lhs_atom88(V_fun,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f1,V_com2,V_com1,T_a)
    <=> c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OCond(V_fun,V_com1,V_com2),T_a) = hAPP(hAPP(hAPP(hAPP(hAPP(V_f5,V_fun),V_com1),V_com2),c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_com1,T_a)),c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_com2,T_a)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_87,plain,
    ! [T_a,V_com1,V_com2,V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_fun] :
      ( lhs_atom88(V_fun,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f1,V_com2,V_com1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Orecs_I5_J_0_0,def_lhs_atom88]) ).

fof(def_lhs_atom89,axiom,
    ! [V_r,V_g,V_f,T_c,T_b,T_a] :
      ( lhs_atom89(V_r,V_g,V_f,T_c,T_b,T_a)
    <=> c_Set_Oimage(c_Fun_Ocomp(V_f,V_g,T_c,T_a,T_b),V_r,T_b,T_a) = c_Set_Oimage(V_f,c_Set_Oimage(V_g,V_r,T_b,T_c),T_c,T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_88,plain,
    ! [T_a,T_b,T_c,V_f,V_g,V_r] :
      ( lhs_atom89(V_r,V_g,V_f,T_c,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_image__compose_0_0,def_lhs_atom89]) ).

fof(def_lhs_atom90,axiom,
    ! [V_f,V_a,V_B,T_b,T_a] :
      ( lhs_atom90(V_f,V_a,V_B,T_b,T_a)
    <=> 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) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_89,plain,
    ! [T_a,T_b,V_B,V_a,V_f] :
      ( lhs_atom90(V_f,V_a,V_B,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_image__insert_0_0,def_lhs_atom90]) ).

fof(def_lhs_atom91,axiom,
    ! [V_f,T_b,T_a] :
      ( lhs_atom91(V_f,T_b,T_a)
    <=> c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_90,plain,
    ! [T_a,T_b,V_f] :
      ( lhs_atom91(V_f,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_image__empty_0_0,def_lhs_atom91]) ).

fof(def_lhs_atom92,axiom,
    ! [V_Y,T_a] :
      ( lhs_atom92(V_Y,T_a)
    <=> c_Set_Oimage(c_Fun_Oid(T_a),V_Y,T_a,T_a) = V_Y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_91,plain,
    ! [T_a,V_Y] :
      ( lhs_atom92(V_Y,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_image__id_0_0,def_lhs_atom92]) ).

fof(to_be_clausified_92,plain,
    ! [T_a,T_b,V_f] :
      ( lhs_atom91(V_f,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_empty__is__image_1_0,def_lhs_atom91]) ).

fof(def_lhs_atom93,axiom,
    ! [T_a] :
      ( lhs_atom93(T_a)
    <=> c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_93,plain,
    ! [T_a] :
      ( lhs_atom93(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__empty_2_0,def_lhs_atom93]) ).

fof(def_lhs_atom94,axiom,
    ! [V_A,T_a] :
      ( lhs_atom94(V_A,T_a)
    <=> c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ),
    inference(definition,[],[]) ).

fof(to_be_clausified_94,plain,
    ! [T_a,V_A] :
      ( lhs_atom94(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__empty__right_0_0,def_lhs_atom94]) ).

fof(def_lhs_atom95,axiom,
    ! [V_B,T_a] :
      ( lhs_atom95(V_B,T_a)
    <=> c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = V_B ),
    inference(definition,[],[]) ).

fof(to_be_clausified_95,plain,
    ! [T_a,V_B] :
      ( lhs_atom95(V_B,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__empty__left_0_0,def_lhs_atom95]) ).

fof(def_lhs_atom96,axiom,
    ! [V_A,T_a] :
      ( lhs_atom96(V_A,T_a)
    <=> c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_96,plain,
    ! [T_a,V_A] :
      ( lhs_atom96(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__UNIV__right_0_0,def_lhs_atom96]) ).

fof(def_lhs_atom97,axiom,
    ! [V_B,T_a] :
      ( lhs_atom97(V_B,T_a)
    <=> c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_97,plain,
    ! [T_a,V_B] :
      ( lhs_atom97(V_B,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__UNIV__left_0_0,def_lhs_atom97]) ).

fof(def_lhs_atom98,axiom,
    ! [V_a,V_B,V_A,T_a] :
      ( lhs_atom98(V_a,V_B,V_A,T_a)
    <=> 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) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_98,plain,
    ! [T_a,V_A,V_B,V_a] :
      ( lhs_atom98(V_a,V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__insert__right_0_0,def_lhs_atom98]) ).

fof(def_lhs_atom99,axiom,
    ! [V_a,V_C,V_B,T_a] :
      ( lhs_atom99(V_a,V_C,V_B,T_a)
    <=> 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) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_99,plain,
    ! [T_a,V_B,V_C,V_a] :
      ( lhs_atom99(V_a,V_C,V_B,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__insert__left_0_0,def_lhs_atom99]) ).

fof(def_lhs_atom100,axiom,
    ! [V_B,V_A,T_a] :
      ( lhs_atom100(V_B,V_A,T_a)
    <=> c_lessequals(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_100,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom100(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__upper2_0_0,def_lhs_atom100]) ).

fof(def_lhs_atom101,axiom,
    ! [V_B,V_A,T_a] :
      ( lhs_atom101(V_B,V_A,T_a)
    <=> c_lessequals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_101,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom101(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__upper1_0_0,def_lhs_atom101]) ).

fof(def_lhs_atom102,axiom,
    ! [V_vname_H,V_pname_H,V_fun_H,V_fun,V_com] :
      ( lhs_atom102(V_vname_H,V_pname_H,V_fun_H,V_fun,V_com)
    <=> c_Com_Ocom_OWhile(V_fun,V_com) != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_102,plain,
    ! [V_com,V_fun,V_fun_H,V_pname_H,V_vname_H] :
      ( lhs_atom102(V_vname_H,V_pname_H,V_fun_H,V_fun,V_com)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I60_J_0_0,def_lhs_atom102]) ).

fof(def_lhs_atom103,axiom,
    ! [V_vname,V_fun,V_com2_H,V_com1_H] :
      ( lhs_atom103(V_vname,V_fun,V_com2_H,V_com1_H)
    <=> c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OAss(V_vname,V_fun) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_103,plain,
    ! [V_com1_H,V_com2_H,V_fun,V_vname] :
      ( lhs_atom103(V_vname,V_fun,V_com2_H,V_com1_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I25_J_0_0,def_lhs_atom103]) ).

fof(def_lhs_atom104,axiom,
    ! [V_loc_H,V_fun_H,V_com_H] :
      ( lhs_atom104(V_loc_H,V_fun_H,V_com_H)
    <=> c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H) != c_Com_Ocom_OSKIP ),
    inference(definition,[],[]) ).

fof(to_be_clausified_104,plain,
    ! [V_com_H,V_fun_H,V_loc_H] :
      ( lhs_atom104(V_loc_H,V_fun_H,V_com_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I11_J_0_0,def_lhs_atom104]) ).

fof(def_lhs_atom105,axiom,
    ! [V_s,V_n] :
      ( lhs_atom105(V_s,V_n)
    <=> c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_s) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_105,plain,
    ! [V_n,V_s] :
      ( lhs_atom105(V_s,V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_evaln_OSkip_0_0,def_lhs_atom105]) ).

fof(def_lhs_atom106,axiom,
    ! [V_nat_H] :
      ( lhs_atom106(V_nat_H)
    <=> c_Suc(V_nat_H) != c_HOL_Ozero__class_Ozero(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_106,plain,
    ! [V_nat_H] :
      ( lhs_atom106(V_nat_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_nat_Osimps_I3_J_0_0,def_lhs_atom106]) ).

fof(def_lhs_atom107,axiom,
    ! [V_m] :
      ( lhs_atom107(V_m)
    <=> c_Suc(V_m) != c_HOL_Ozero__class_Ozero(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_107,plain,
    ! [V_m] :
      ( lhs_atom107(V_m)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Suc__neq__Zero_0_0,def_lhs_atom107]) ).

fof(def_lhs_atom108,axiom,
    ( lhs_atom108
  <=> hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x) = hAPP(hAPP(c_in(t_a),v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool))) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_108,plain,
    ( lhs_atom108
    | $false ),
    inference(fold_definition,[status(thm)],[cls_bot__empty__eq_0_0,def_lhs_atom108]) ).

fof(def_lhs_atom109,axiom,
    ! [V_vname_H,V_fun_H] :
      ( lhs_atom109(V_vname_H,V_fun_H)
    <=> c_Com_Ocom_OSKIP != c_Com_Ocom_OAss(V_vname_H,V_fun_H) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_109,plain,
    ! [V_fun_H,V_vname_H] :
      ( lhs_atom109(V_vname_H,V_fun_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I8_J_0_0,def_lhs_atom109]) ).

fof(def_lhs_atom110,axiom,
    ! [T_a] :
      ( lhs_atom110(T_a)
    <=> c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_110,plain,
    ! [T_a] :
      ( lhs_atom110(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_subset__empty_1_0,def_lhs_atom110]) ).

fof(def_lhs_atom111,axiom,
    ! [V_vname,V_fun_H,V_fun,V_com_H] :
      ( lhs_atom111(V_vname,V_fun_H,V_fun,V_com_H)
    <=> c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OAss(V_vname,V_fun) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_111,plain,
    ! [V_com_H,V_fun,V_fun_H,V_vname] :
      ( lhs_atom111(V_vname,V_fun_H,V_fun,V_com_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I29_J_0_0,def_lhs_atom111]) ).

fof(def_lhs_atom112,axiom,
    ! [V_a,V_A,T_a] :
      ( lhs_atom112(V_a,V_A,T_a)
    <=> c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oinsert(V_a,V_A,T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_112,plain,
    ! [T_a,V_A,V_a] :
      ( lhs_atom112(V_a,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_empty__not__insert_0_0,def_lhs_atom112]) ).

fof(def_lhs_atom113,axiom,
    ! [V_loc,V_fun,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f1,V_com,T_a] :
      ( lhs_atom113(V_loc,V_fun,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f1,V_com,T_a)
    <=> c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OLocal(V_loc,V_fun,V_com),T_a) = hAPP(hAPP(hAPP(V_f3,V_loc),V_fun),V_com) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_113,plain,
    ! [T_a,V_com,V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_fun,V_loc] :
      ( lhs_atom113(V_loc,V_fun,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f1,V_com,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I66_J_0_0,def_lhs_atom113]) ).

fof(def_lhs_atom114,axiom,
    ! [V_fun,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f1,V_com,T_a] :
      ( lhs_atom114(V_fun,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f1,V_com,T_a)
    <=> c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OWhile(V_fun,V_com),T_a) = hAPP(hAPP(V_f6,V_fun),V_com) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_114,plain,
    ! [T_a,V_com,V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_fun] :
      ( lhs_atom114(V_fun,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f1,V_com,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I69_J_0_0,def_lhs_atom114]) ).

fof(def_lhs_atom115,axiom,
    ! [V_a,T_a] :
      ( lhs_atom115(V_a,T_a)
    <=> ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_115,plain,
    ! [T_a,V_a] :
      ( lhs_atom115(V_a,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_emptyE_0_0,def_lhs_atom115]) ).

fof(def_lhs_atom116,axiom,
    ! [V_c,T_a] :
      ( lhs_atom116(V_c,T_a)
    <=> ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_116,plain,
    ! [T_a,V_c] :
      ( lhs_atom116(V_c,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_empty__iff_0_0,def_lhs_atom116]) ).

fof(def_lhs_atom117,axiom,
    ! [V_x,T_a] :
      ( lhs_atom117(V_x,T_a)
    <=> ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_117,plain,
    ! [T_a,V_x] :
      ( lhs_atom117(V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_ex__in__conv_0_0,def_lhs_atom117]) ).

fof(def_lhs_atom118,axiom,
    ! [V_A,T_a] :
      ( lhs_atom118(V_A,T_a)
    <=> c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_118,plain,
    ! [T_a,V_A] :
      ( lhs_atom118(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Diff__UNIV_0_0,def_lhs_atom118]) ).

fof(def_lhs_atom119,axiom,
    ! [V_x,V_g,V_f,T_c,T_b,T_a] :
      ( lhs_atom119(V_x,V_g,V_f,T_c,T_b,T_a)
    <=> hAPP(c_Fun_Ofcomp(V_f,V_g,T_b,T_c,T_a),V_x) = hAPP(V_g,hAPP(V_f,V_x)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_119,plain,
    ! [T_a,T_b,T_c,V_f,V_g,V_x] :
      ( lhs_atom119(V_x,V_g,V_f,T_c,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_fcomp__apply_0_0,def_lhs_atom119]) ).

fof(def_lhs_atom120,axiom,
    ! [V_A,T_a] :
      ( lhs_atom120(V_A,T_a)
    <=> c_lessequals(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_120,plain,
    ! [T_a,V_A] :
      ( lhs_atom120(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_subset__UNIV_0_0,def_lhs_atom120]) ).

fof(def_lhs_atom121,axiom,
    ! [V_h,V_g,V_f,T_d,T_c,T_b,T_a] :
      ( lhs_atom121(V_h,V_g,V_f,T_d,T_c,T_b,T_a)
    <=> c_Fun_Ocomp(V_f,c_Fun_Ocomp(V_g,V_h,T_d,T_c,T_a),T_c,T_b,T_a) = c_Fun_Ocomp(c_Fun_Ocomp(V_f,V_g,T_c,T_b,T_d),V_h,T_d,T_b,T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_121,plain,
    ! [T_a,T_b,T_c,T_d,V_f,V_g,V_h] :
      ( lhs_atom121(V_h,V_g,V_f,T_d,T_c,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_o__assoc_0_0,def_lhs_atom121]) ).

fof(def_lhs_atom122,axiom,
    ! [V_vname_H,V_vname,V_pname_H,V_fun_H,V_fun] :
      ( lhs_atom122(V_vname_H,V_vname,V_pname_H,V_fun_H,V_fun)
    <=> c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) != c_Com_Ocom_OAss(V_vname,V_fun) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_122,plain,
    ! [V_fun,V_fun_H,V_pname_H,V_vname,V_vname_H] :
      ( lhs_atom122(V_vname_H,V_vname,V_pname_H,V_fun_H,V_fun)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I33_J_0_0,def_lhs_atom122]) ).

fof(def_lhs_atom123,axiom,
    ! [V_com2_H,V_com1_H] :
      ( lhs_atom123(V_com2_H,V_com1_H)
    <=> c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP ),
    inference(definition,[],[]) ).

fof(to_be_clausified_123,plain,
    ! [V_com1_H,V_com2_H] :
      ( lhs_atom123(V_com2_H,V_com1_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I13_J_0_0,def_lhs_atom123]) ).

fof(def_lhs_atom124,axiom,
    ! [V_P,V_G,T_a] :
      ( lhs_atom124(V_P,V_G,T_a)
    <=> c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),c_Com_Ocom_OSKIP),V_P),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_124,plain,
    ! [T_a,V_G,V_P] :
      ( lhs_atom124(V_P,V_G,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_hoare__derivs_OSkip_0_0,def_lhs_atom124]) ).

fof(def_lhs_atom125,axiom,
    ! [V_x,V_A,T_a] :
      ( lhs_atom125(V_x,V_A,T_a)
    <=> hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_125,plain,
    ! [T_a,V_A,V_x] :
      ( lhs_atom125(V_x,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_insert__code_1_0,def_lhs_atom125]) ).

fof(def_lhs_atom126,axiom,
    ! [V_vname_H,V_pname_H,V_fun_H] :
      ( lhs_atom126(V_vname_H,V_pname_H,V_fun_H)
    <=> c_Com_Ocom_OSKIP != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_126,plain,
    ! [V_fun_H,V_pname_H,V_vname_H] :
      ( lhs_atom126(V_vname_H,V_pname_H,V_fun_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I20_J_0_0,def_lhs_atom126]) ).

fof(def_lhs_atom127,axiom,
    ! [V_f,T_b,T_a] :
      ( lhs_atom127(V_f,T_b,T_a)
    <=> c_Fun_Ofcomp(V_f,c_Fun_Oid(T_b),T_a,T_b,T_b) = V_f ),
    inference(definition,[],[]) ).

fof(to_be_clausified_127,plain,
    ! [T_a,T_b,V_f] :
      ( lhs_atom127(V_f,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_fcomp__id_0_0,def_lhs_atom127]) ).

fof(def_lhs_atom128,axiom,
    ! [V_g,T_b,T_a] :
      ( lhs_atom128(V_g,T_b,T_a)
    <=> c_Fun_Ofcomp(c_Fun_Oid(T_a),V_g,T_a,T_a,T_b) = V_g ),
    inference(definition,[],[]) ).

fof(to_be_clausified_128,plain,
    ! [T_a,T_b,V_g] :
      ( lhs_atom128(V_g,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_id__fcomp_0_0,def_lhs_atom128]) ).

fof(def_lhs_atom129,axiom,
    ! [V_fun_H,V_com_H,V_com2,V_com1] :
      ( lhs_atom129(V_fun_H,V_com_H,V_com2,V_com1)
    <=> c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OSemi(V_com1,V_com2) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_129,plain,
    ! [V_com1,V_com2,V_com_H,V_fun_H] :
      ( lhs_atom129(V_fun_H,V_com_H,V_com2,V_com1)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I47_J_0_0,def_lhs_atom129]) ).

fof(def_lhs_atom130,axiom,
    ! [V_n] :
      ( lhs_atom130(V_n)
    <=> c_Suc(V_n) != V_n ),
    inference(definition,[],[]) ).

fof(to_be_clausified_130,plain,
    ! [V_n] :
      ( lhs_atom130(V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Suc__n__not__n_0_0,def_lhs_atom130]) ).

fof(def_lhs_atom131,axiom,
    ! [V_n] :
      ( lhs_atom131(V_n)
    <=> V_n != c_Suc(V_n) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_131,plain,
    ! [V_n] :
      ( lhs_atom131(V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_n__not__Suc__n_0_0,def_lhs_atom131]) ).

fof(def_lhs_atom132,axiom,
    ! [V_x,T_a] :
      ( lhs_atom132(V_x,T_a)
    <=> c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_132,plain,
    ! [T_a,V_x] :
      ( lhs_atom132(V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_equalityE_0_0,def_lhs_atom132]) ).

fof(def_lhs_atom133,axiom,
    ! [V_A,T_a] :
      ( lhs_atom133(V_A,T_a)
    <=> c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_133,plain,
    ! [T_a,V_A] :
      ( lhs_atom133(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_subset__refl_0_0,def_lhs_atom133]) ).

fof(def_lhs_atom134,axiom,
    ! [V_vname_H,V_pname_H,V_fun_H] :
      ( lhs_atom134(V_vname_H,V_pname_H,V_fun_H)
    <=> c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) != c_Com_Ocom_OSKIP ),
    inference(definition,[],[]) ).

fof(to_be_clausified_134,plain,
    ! [V_fun_H,V_pname_H,V_vname_H] :
      ( lhs_atom134(V_vname_H,V_pname_H,V_fun_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I21_J_0_0,def_lhs_atom134]) ).

fof(def_lhs_atom135,axiom,
    ! [V_x,T_a] :
      ( lhs_atom135(V_x,T_a)
    <=> hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_135,plain,
    ! [T_a,V_x] :
      ( lhs_atom135(V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_singleton__iff_1_0,def_lhs_atom135]) ).

fof(def_lhs_atom136,axiom,
    ! [V_fun,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f1,V_com2,V_com1,T_a] :
      ( lhs_atom136(V_fun,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f1,V_com2,V_com1,T_a)
    <=> c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OCond(V_fun,V_com1,V_com2),T_a) = hAPP(hAPP(hAPP(V_f5,V_fun),V_com1),V_com2) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_136,plain,
    ! [T_a,V_com1,V_com2,V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_fun] :
      ( lhs_atom136(V_fun,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f1,V_com2,V_com1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I68_J_0_0,def_lhs_atom136]) ).

fof(def_lhs_atom137,axiom,
    ! [V_f,V_a,V_B,T_b,T_a] :
      ( lhs_atom137(V_f,V_a,V_B,T_b,T_a)
    <=> c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_a,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_137,plain,
    ! [T_a,T_b,V_B,V_a,V_f] :
      ( lhs_atom137(V_f,V_a,V_B,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_vimage__insert_0_0,def_lhs_atom137]) ).

fof(def_lhs_atom138,axiom,
    ! [V_vname_H,V_fun_H] :
      ( lhs_atom138(V_vname_H,V_fun_H)
    <=> c_Com_Ocom_OAss(V_vname_H,V_fun_H) != c_Com_Ocom_OSKIP ),
    inference(definition,[],[]) ).

fof(to_be_clausified_138,plain,
    ! [V_fun_H,V_vname_H] :
      ( lhs_atom138(V_vname_H,V_fun_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I9_J_0_0,def_lhs_atom138]) ).

fof(def_lhs_atom139,axiom,
    ! [V_f,T_b,T_a] :
      ( lhs_atom139(V_f,T_b,T_a)
    <=> c_Set_Ovimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_a,T_b) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_139,plain,
    ! [T_a,T_b,V_f] :
      ( lhs_atom139(V_f,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_vimage__empty_0_0,def_lhs_atom139]) ).

fof(def_lhs_atom140,axiom,
    ! [V_vname_H,V_pname_H,V_loc,V_fun_H,V_fun,V_com] :
      ( lhs_atom140(V_vname_H,V_pname_H,V_loc,V_fun_H,V_fun,V_com)
    <=> c_Com_Ocom_OLocal(V_loc,V_fun,V_com) != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_140,plain,
    ! [V_com,V_fun,V_fun_H,V_loc,V_pname_H,V_vname_H] :
      ( lhs_atom140(V_vname_H,V_pname_H,V_loc,V_fun_H,V_fun,V_com)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I42_J_0_0,def_lhs_atom140]) ).

fof(def_lhs_atom141,axiom,
    ! [V_h,V_g,V_f,T_d,T_c,T_b,T_a] :
      ( lhs_atom141(V_h,V_g,V_f,T_d,T_c,T_b,T_a)
    <=> c_Fun_Ofcomp(c_Fun_Ofcomp(V_f,V_g,T_a,T_d,T_c),V_h,T_a,T_c,T_b) = c_Fun_Ofcomp(V_f,c_Fun_Ofcomp(V_g,V_h,T_d,T_c,T_b),T_a,T_d,T_b) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_141,plain,
    ! [T_a,T_b,T_c,T_d,V_f,V_g,V_h] :
      ( lhs_atom141(V_h,V_g,V_f,T_d,T_c,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_fcomp__assoc_0_0,def_lhs_atom141]) ).

fof(def_lhs_atom142,axiom,
    ! [V_com2_H,V_com1_H] :
      ( lhs_atom142(V_com2_H,V_com1_H)
    <=> c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_142,plain,
    ! [V_com1_H,V_com2_H] :
      ( lhs_atom142(V_com2_H,V_com1_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I12_J_0_0,def_lhs_atom142]) ).

fof(def_lhs_atom143,axiom,
    ! [V_B,V_A,T_a] :
      ( lhs_atom143(V_B,V_A,T_a)
    <=> c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_143,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom143(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__Diff__cancel2_0_0,def_lhs_atom143]) ).

fof(def_lhs_atom144,axiom,
    ! [V_B,V_A,T_a] :
      ( lhs_atom144(V_B,V_A,T_a)
    <=> c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_144,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom144(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__Diff__cancel_0_0,def_lhs_atom144]) ).

fof(def_lhs_atom145,axiom,
    ! [V_C,V_B,V_A,T_a] :
      ( lhs_atom145(V_C,V_B,V_A,T_a)
    <=> c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_145,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( lhs_atom145(V_C,V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__Diff_0_0,def_lhs_atom145]) ).

fof(def_lhs_atom146,axiom,
    ! [V_f,V_B,V_A,T_b,T_a] :
      ( lhs_atom146(V_f,V_B,V_A,T_b,T_a)
    <=> c_Set_Ovimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_146,plain,
    ! [T_a,T_b,V_A,V_B,V_f] :
      ( lhs_atom146(V_f,V_B,V_A,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_vimage__Un_0_0,def_lhs_atom146]) ).

fof(def_lhs_atom147,axiom,
    ! [V_S,V_R] :
      ( lhs_atom147(V_S,V_R)
    <=> hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_COMBC(c_in(t_a),V_R,t_a,tc_fun(t_a,tc_bool),tc_bool),c_COMBC(c_in(t_a),V_S,t_a,tc_fun(t_a,tc_bool),tc_bool),tc_fun(t_a,tc_bool)),v_x) = hAPP(hAPP(c_in(t_a),v_x),c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(t_a,tc_bool))) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_147,plain,
    ! [V_R,V_S] :
      ( lhs_atom147(V_S,V_R)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_sup__Un__eq_0_0,def_lhs_atom147]) ).

fof(def_lhs_atom148,axiom,
    ! [V_g,V_f,T_c,T_b] :
      ( lhs_atom148(V_g,V_f,T_c,T_b)
    <=> hAPP(c_Fun_Ocomp(V_f,V_g,T_c,T_b,t_a),v_x) = hAPP(V_f,hAPP(V_g,v_x)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_148,plain,
    ! [T_b,T_c,V_f,V_g] :
      ( lhs_atom148(V_g,V_f,T_c,T_b)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_o__def_0_0,def_lhs_atom148]) ).

fof(def_lhs_atom149,axiom,
    ( lhs_atom149
  <=> hAPP(c_Fun_Oid(t_a),v_x) = v_x ),
    inference(definition,[],[]) ).

fof(to_be_clausified_149,plain,
    ( lhs_atom149
    | $false ),
    inference(fold_definition,[status(thm)],[cls_id__def_0_0,def_lhs_atom149]) ).

fof(def_lhs_atom150,axiom,
    ! [V_g,V_f,T_c,T_b] :
      ( lhs_atom150(V_g,V_f,T_c,T_b)
    <=> hAPP(c_Fun_Ofcomp(V_f,V_g,t_a,T_c,T_b),v_x) = hAPP(V_g,hAPP(V_f,v_x)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_150,plain,
    ! [T_b,T_c,V_f,V_g] :
      ( lhs_atom150(V_g,V_f,T_c,T_b)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_fcomp__def_0_0,def_lhs_atom150]) ).

fof(def_lhs_atom151,axiom,
    ! [V_pname_H] :
      ( lhs_atom151(V_pname_H)
    <=> hAPP(c_Com_Ocom_OBODY,V_pname_H) != c_Com_Ocom_OSKIP ),
    inference(definition,[],[]) ).

fof(to_be_clausified_151,plain,
    ! [V_pname_H] :
      ( lhs_atom151(V_pname_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I19_J_0_0,def_lhs_atom151]) ).

fof(def_lhs_atom152,axiom,
    ! [V_pname_H,V_fun,V_com] :
      ( lhs_atom152(V_pname_H,V_fun,V_com)
    <=> c_Com_Ocom_OWhile(V_fun,V_com) != hAPP(c_Com_Ocom_OBODY,V_pname_H) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_152,plain,
    ! [V_com,V_fun,V_pname_H] :
      ( lhs_atom152(V_pname_H,V_fun,V_com)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I58_J_0_0,def_lhs_atom152]) ).

fof(def_lhs_atom153,axiom,
    ! [V_pname,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f1,T_a] :
      ( lhs_atom153(V_pname,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f1,T_a)
    <=> c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,hAPP(c_Com_Ocom_OBODY,V_pname),T_a) = hAPP(V_f7,V_pname) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_153,plain,
    ! [T_a,V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_pname] :
      ( lhs_atom153(V_pname,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Orecs_I7_J_0_0,def_lhs_atom153]) ).

fof(def_lhs_atom154,axiom,
    ! [V_pname_H,V_fun,V_com2,V_com1] :
      ( lhs_atom154(V_pname_H,V_fun,V_com2,V_com1)
    <=> hAPP(c_Com_Ocom_OBODY,V_pname_H) != c_Com_Ocom_OCond(V_fun,V_com1,V_com2) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_154,plain,
    ! [V_com1,V_com2,V_fun,V_pname_H] :
      ( lhs_atom154(V_pname_H,V_fun,V_com2,V_com1)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I55_J_0_0,def_lhs_atom154]) ).

fof(def_lhs_atom155,axiom,
    ! [V_pname_H,V_fun,V_com2,V_com1] :
      ( lhs_atom155(V_pname_H,V_fun,V_com2,V_com1)
    <=> c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != hAPP(c_Com_Ocom_OBODY,V_pname_H) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_155,plain,
    ! [V_com1,V_com2,V_fun,V_pname_H] :
      ( lhs_atom155(V_pname_H,V_fun,V_com2,V_com1)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I54_J_0_0,def_lhs_atom155]) ).

fof(def_lhs_atom156,axiom,
    ! [V_vname,V_pname_H,V_fun] :
      ( lhs_atom156(V_vname,V_pname_H,V_fun)
    <=> hAPP(c_Com_Ocom_OBODY,V_pname_H) != c_Com_Ocom_OAss(V_vname,V_fun) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_156,plain,
    ! [V_fun,V_pname_H,V_vname] :
      ( lhs_atom156(V_vname,V_pname_H,V_fun)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I31_J_0_0,def_lhs_atom156]) ).

fof(def_lhs_atom157,axiom,
    ! [V_vname,V_pname_H,V_fun] :
      ( lhs_atom157(V_vname,V_pname_H,V_fun)
    <=> c_Com_Ocom_OAss(V_vname,V_fun) != hAPP(c_Com_Ocom_OBODY,V_pname_H) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_157,plain,
    ! [V_fun,V_pname_H,V_vname] :
      ( lhs_atom157(V_vname,V_pname_H,V_fun)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I30_J_0_0,def_lhs_atom157]) ).

fof(def_lhs_atom158,axiom,
    ! [V_pname_H,V_loc,V_fun,V_com] :
      ( lhs_atom158(V_pname_H,V_loc,V_fun,V_com)
    <=> hAPP(c_Com_Ocom_OBODY,V_pname_H) != c_Com_Ocom_OLocal(V_loc,V_fun,V_com) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_158,plain,
    ! [V_com,V_fun,V_loc,V_pname_H] :
      ( lhs_atom158(V_pname_H,V_loc,V_fun,V_com)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I41_J_0_0,def_lhs_atom158]) ).

fof(def_lhs_atom159,axiom,
    ! [V_pname_H,V_fun,V_com] :
      ( lhs_atom159(V_pname_H,V_fun,V_com)
    <=> hAPP(c_Com_Ocom_OBODY,V_pname_H) != c_Com_Ocom_OWhile(V_fun,V_com) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_159,plain,
    ! [V_com,V_fun,V_pname_H] :
      ( lhs_atom159(V_pname_H,V_fun,V_com)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I59_J_0_0,def_lhs_atom159]) ).

fof(def_lhs_atom160,axiom,
    ! [V_vname_H,V_pname_H,V_pname,V_fun_H] :
      ( lhs_atom160(V_vname_H,V_pname_H,V_pname,V_fun_H)
    <=> c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) != hAPP(c_Com_Ocom_OBODY,V_pname) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_160,plain,
    ! [V_fun_H,V_pname,V_pname_H,V_vname_H] :
      ( lhs_atom160(V_vname_H,V_pname_H,V_pname,V_fun_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I63_J_0_0,def_lhs_atom160]) ).

fof(def_lhs_atom161,axiom,
    ! [V_pname_H,V_com2,V_com1] :
      ( lhs_atom161(V_pname_H,V_com2,V_com1)
    <=> hAPP(c_Com_Ocom_OBODY,V_pname_H) != c_Com_Ocom_OSemi(V_com1,V_com2) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_161,plain,
    ! [V_com1,V_com2,V_pname_H] :
      ( lhs_atom161(V_pname_H,V_com2,V_com1)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I49_J_0_0,def_lhs_atom161]) ).

fof(def_lhs_atom162,axiom,
    ! [V_pname_H,V_com2,V_com1] :
      ( lhs_atom162(V_pname_H,V_com2,V_com1)
    <=> c_Com_Ocom_OSemi(V_com1,V_com2) != hAPP(c_Com_Ocom_OBODY,V_pname_H) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_162,plain,
    ! [V_com1,V_com2,V_pname_H] :
      ( lhs_atom162(V_pname_H,V_com2,V_com1)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I48_J_0_0,def_lhs_atom162]) ).

fof(def_lhs_atom163,axiom,
    ! [V_pname_H,V_loc,V_fun,V_com] :
      ( lhs_atom163(V_pname_H,V_loc,V_fun,V_com)
    <=> c_Com_Ocom_OLocal(V_loc,V_fun,V_com) != hAPP(c_Com_Ocom_OBODY,V_pname_H) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_163,plain,
    ! [V_com,V_fun,V_loc,V_pname_H] :
      ( lhs_atom163(V_pname_H,V_loc,V_fun,V_com)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I40_J_0_0,def_lhs_atom163]) ).

fof(def_lhs_atom164,axiom,
    ! [V_vname_H,V_pname_H,V_pname,V_fun_H] :
      ( lhs_atom164(V_vname_H,V_pname_H,V_pname,V_fun_H)
    <=> hAPP(c_Com_Ocom_OBODY,V_pname) != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_164,plain,
    ! [V_fun_H,V_pname,V_pname_H,V_vname_H] :
      ( lhs_atom164(V_vname_H,V_pname_H,V_pname,V_fun_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I62_J_0_0,def_lhs_atom164]) ).

fof(def_lhs_atom165,axiom,
    ! [V_pname,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f1,T_a] :
      ( lhs_atom165(V_pname,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f1,T_a)
    <=> c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,hAPP(c_Com_Ocom_OBODY,V_pname),T_a) = hAPP(V_f7,V_pname) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_165,plain,
    ! [T_a,V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_pname] :
      ( lhs_atom165(V_pname,V_f8,V_f7,V_f6,V_f5,V_f4,V_f3,V_f2,V_f1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I70_J_0_0,def_lhs_atom165]) ).

fof(def_lhs_atom166,axiom,
    ! [V_pname_H] :
      ( lhs_atom166(V_pname_H)
    <=> c_Com_Ocom_OSKIP != hAPP(c_Com_Ocom_OBODY,V_pname_H) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_166,plain,
    ! [V_pname_H] :
      ( lhs_atom166(V_pname_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_com_Osimps_I18_J_0_0,def_lhs_atom166]) ).

fof(def_lhs_atom167,axiom,
    ! [V_pn,V_Q,V_P,T_a] :
      ( lhs_atom167(V_pn,V_Q,V_P,T_a)
    <=> c_Hoare__Mirabelle_Otriple__valid(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P),hAPP(c_Com_Ocom_OBODY,V_pn)),V_Q),T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_167,plain,
    ! [T_a,V_P,V_Q,V_pn] :
      ( lhs_atom167(V_pn,V_Q,V_P,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Body__triple__valid__0_0_0,def_lhs_atom167]) ).

fof(def_lhs_atom168,axiom,
    ! [V_fun2,V_fun1,V_f1,V_com,T_b,T_a] :
      ( lhs_atom168(V_fun2,V_fun1,V_f1,V_com,T_b,T_a)
    <=> c_Hoare__Mirabelle_Otriple_Otriple__rec(V_f1,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_fun1),V_com),V_fun2),T_b,T_a) = hAPP(hAPP(hAPP(V_f1,V_fun1),V_com),V_fun2) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_168,plain,
    ! [T_a,T_b,V_com,V_f1,V_fun1,V_fun2] :
      ( lhs_atom168(V_fun2,V_fun1,V_f1,V_com,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_triple_Orecs_0_0,def_lhs_atom168]) ).

fof(def_lhs_atom169,axiom,
    ! [V_fun2,V_fun1,V_f1,V_com,T_b,T_a] :
      ( lhs_atom169(V_fun2,V_fun1,V_f1,V_com,T_b,T_a)
    <=> c_Hoare__Mirabelle_Otriple_Otriple__case(V_f1,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_fun1),V_com),V_fun2),T_b,T_a) = hAPP(hAPP(hAPP(V_f1,V_fun1),V_com),V_fun2) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_169,plain,
    ! [T_a,T_b,V_com,V_f1,V_fun1,V_fun2] :
      ( lhs_atom169(V_fun2,V_fun1,V_f1,V_com,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_triple_Ocases_0_0,def_lhs_atom169]) ).

fof(def_lhs_atom170,axiom,
    ! [V_G,T_a] :
      ( lhs_atom170(V_G,T_a)
    <=> c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_170,plain,
    ! [T_a,V_G] :
      ( lhs_atom170(V_G,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_empty_0_0,def_lhs_atom170]) ).

fof(def_lhs_atom171,axiom,
    ! [V_s] :
      ( lhs_atom171(V_s)
    <=> hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OSKIP),V_s),V_s)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_171,plain,
    ! [V_s] :
      ( lhs_atom171(V_s)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_evalc_OSkip_0_0,def_lhs_atom171]) ).

fof(def_lhs_atom172,axiom,
    ! [V_x,T_a] :
      ( lhs_atom172(V_x,T_a)
    <=> hAPP(c_Option_Othe(T_a),c_Option_Ooption_OSome(V_x,T_a)) = V_x ),
    inference(definition,[],[]) ).

fof(to_be_clausified_172,plain,
    ! [T_a,V_x] :
      ( lhs_atom172(V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_the_Osimps_0_0,def_lhs_atom172]) ).

fof(def_lhs_atom173,axiom,
    ( lhs_atom173
  <=> c_Hoare__Mirabelle_OMGT(v_c) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal(tc_Com_Ostate)),v_c),hAPP(c_Natural_Oevalc,v_c)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_173,plain,
    ( lhs_atom173
    | $false ),
    inference(fold_definition,[status(thm)],[cls_MGT__def__raw_0_0,def_lhs_atom173]) ).

fof(def_lhs_atom174,axiom,
    ! [V_g,V_f,T_c,T_b,T_a] :
      ( lhs_atom174(V_g,V_f,T_c,T_b,T_a)
    <=> c_Set_Oimage(c_COMBB(V_f,V_g,T_c,T_a,T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Set_Oimage(V_f,c_Set_Oimage(V_g,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_c),T_c,T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_174,plain,
    ! [T_a,T_b,T_c,V_f,V_g] :
      ( lhs_atom174(V_g,V_f,T_c,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_range__composition_0_0,def_lhs_atom174]) ).

fof(def_lhs_atom175,axiom,
    ! [V_c] :
      ( lhs_atom175(V_c)
    <=> c_Hoare__Mirabelle_OMGT(V_c) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal(tc_Com_Ostate)),V_c),hAPP(c_Natural_Oevalc,V_c)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_175,plain,
    ! [V_c] :
      ( lhs_atom175(V_c)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_MGT__def_0_0,def_lhs_atom175]) ).

fof(def_lhs_atom176,axiom,
    ! [V_f,V_B,V_A,T_b,T_a] :
      ( lhs_atom176(V_f,V_B,V_A,T_b,T_a)
    <=> 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)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_176,plain,
    ! [T_a,T_b,V_A,V_B,V_f] :
      ( lhs_atom176(V_f,V_B,V_A,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_image__Un_0_0,def_lhs_atom176]) ).

fof(def_lhs_atom177,axiom,
    ! [V_g,V_f,V_A,T_c,T_b,T_a] :
      ( lhs_atom177(V_g,V_f,V_A,T_c,T_b,T_a)
    <=> c_Set_Oimage(V_f,c_Set_Oimage(V_g,V_A,T_c,T_b),T_b,T_a) = c_Set_Oimage(c_COMBB(V_f,V_g,T_b,T_a,T_c),V_A,T_c,T_a) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_177,plain,
    ! [T_a,T_b,T_c,V_A,V_f,V_g] :
      ( lhs_atom177(V_g,V_f,V_A,T_c,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_image__image_0_0,def_lhs_atom177]) ).

fof(def_lhs_atom178,axiom,
    ! [V_A,T_a] :
      ( lhs_atom178(V_A,T_a)
    <=> c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ),
    inference(definition,[],[]) ).

fof(to_be_clausified_178,plain,
    ! [T_a,V_A] :
      ( lhs_atom178(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__absorb_0_0,def_lhs_atom178]) ).

fof(def_lhs_atom179,axiom,
    ! [V_R,V_Q,V_P,T_c,T_b,T_a] :
      ( lhs_atom179(V_R,V_Q,V_P,T_c,T_b,T_a)
    <=> hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R) = hAPP(V_P,hAPP(V_Q,V_R)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_179,plain,
    ! [T_a,T_b,T_c,V_P,V_Q,V_R] :
      ( lhs_atom179(V_R,V_Q,V_P,T_c,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_COMBB__def_0_0,def_lhs_atom179]) ).

fof(def_lhs_atom180,axiom,
    ! [V_R,V_Q,V_P,T_c,T_b,T_a] :
      ( lhs_atom180(V_R,V_Q,V_P,T_c,T_b,T_a)
    <=> hAPP(c_COMBS(V_P,V_Q,T_b,T_c,T_a),V_R) = hAPP(hAPP(V_P,V_R),hAPP(V_Q,V_R)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_180,plain,
    ! [T_a,T_b,T_c,V_P,V_Q,V_R] :
      ( lhs_atom180(V_R,V_Q,V_P,T_c,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_COMBS__def_0_0,def_lhs_atom180]) ).

fof(def_lhs_atom181,axiom,
    ! [V_C,V_B,V_A,T_a] :
      ( lhs_atom181(V_C,V_B,V_A,T_a)
    <=> 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)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_181,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( lhs_atom181(V_C,V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__left__commute_0_0,def_lhs_atom181]) ).

fof(def_lhs_atom182,axiom,
    ! [V_C,V_B,V_A,T_a] :
      ( lhs_atom182(V_C,V_B,V_A,T_a)
    <=> 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)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_182,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( lhs_atom182(V_C,V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__assoc_0_0,def_lhs_atom182]) ).

fof(def_lhs_atom183,axiom,
    ! [V_B,V_A,T_a] :
      ( lhs_atom183(V_B,V_A,T_a)
    <=> 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)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_183,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom183(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__commute_0_0,def_lhs_atom183]) ).

fof(def_lhs_atom184,axiom,
    ! [V_B,V_A,T_a] :
      ( lhs_atom184(V_B,V_A,T_a)
    <=> 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)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_184,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom184(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__left__absorb_0_0,def_lhs_atom184]) ).

fof(def_lhs_atom185,axiom,
    ( lhs_atom185
  <=> class_Lattices_Oupper__semilattice(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_185,plain,
    ( lhs_atom185
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Lattices_Oupper__semilattice_0,def_lhs_atom185]) ).

fof(def_lhs_atom186,axiom,
    ( lhs_atom186
  <=> class_Orderings_Opreorder(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_186,plain,
    ( lhs_atom186
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Orderings_Opreorder_0,def_lhs_atom186]) ).

fof(def_lhs_atom187,axiom,
    ( lhs_atom187
  <=> class_Orderings_Olinorder(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_187,plain,
    ( lhs_atom187
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Orderings_Olinorder_0,def_lhs_atom187]) ).

fof(def_lhs_atom188,axiom,
    ( lhs_atom188
  <=> class_Lattices_Olattice(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_188,plain,
    ( lhs_atom188
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Lattices_Olattice_0,def_lhs_atom188]) ).

fof(def_lhs_atom189,axiom,
    ( lhs_atom189
  <=> class_Orderings_Oorder(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_189,plain,
    ( lhs_atom189
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Orderings_Oorder_0,def_lhs_atom189]) ).

fof(def_lhs_atom190,axiom,
    ( lhs_atom190
  <=> class_Orderings_Obot(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_190,plain,
    ( lhs_atom190
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Orderings_Obot_0,def_lhs_atom190]) ).

fof(def_lhs_atom191,axiom,
    ( lhs_atom191
  <=> class_HOL_Ominus(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_191,plain,
    ( lhs_atom191
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__HOL_Ominus_0,def_lhs_atom191]) ).

fof(def_lhs_atom192,axiom,
    ( lhs_atom192
  <=> class_HOL_Oord(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_192,plain,
    ( lhs_atom192
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__HOL_Oord_0,def_lhs_atom192]) ).

fof(def_lhs_atom193,axiom,
    ( lhs_atom193
  <=> class_Lattices_Oupper__semilattice(tc_bool) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_193,plain,
    ( lhs_atom193
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__Lattices_Oupper__semilattice_0,def_lhs_atom193]) ).

fof(def_lhs_atom194,axiom,
    ( lhs_atom194
  <=> class_Lattices_Obounded__lattice(tc_bool) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_194,plain,
    ( lhs_atom194
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__Lattices_Obounded__lattice_0,def_lhs_atom194]) ).

fof(def_lhs_atom195,axiom,
    ( lhs_atom195
  <=> class_Orderings_Opreorder(tc_bool) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_195,plain,
    ( lhs_atom195
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__Orderings_Opreorder_0,def_lhs_atom195]) ).

fof(def_lhs_atom196,axiom,
    ( lhs_atom196
  <=> class_Lattices_Olattice(tc_bool) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_196,plain,
    ( lhs_atom196
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__Lattices_Olattice_0,def_lhs_atom196]) ).

fof(def_lhs_atom197,axiom,
    ( lhs_atom197
  <=> class_Orderings_Oorder(tc_bool) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_197,plain,
    ( lhs_atom197
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__Orderings_Oorder_0,def_lhs_atom197]) ).

fof(def_lhs_atom198,axiom,
    ( lhs_atom198
  <=> class_Orderings_Otop(tc_bool) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_198,plain,
    ( lhs_atom198
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__Orderings_Otop_0,def_lhs_atom198]) ).

fof(def_lhs_atom199,axiom,
    ( lhs_atom199
  <=> class_Orderings_Obot(tc_bool) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_199,plain,
    ( lhs_atom199
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__Orderings_Obot_0,def_lhs_atom199]) ).

fof(def_lhs_atom200,axiom,
    ( lhs_atom200
  <=> class_HOL_Ominus(tc_bool) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_200,plain,
    ( lhs_atom200
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__HOL_Ominus_0,def_lhs_atom200]) ).

fof(def_lhs_atom201,axiom,
    ( lhs_atom201
  <=> class_HOL_Oord(tc_bool) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_201,plain,
    ( lhs_atom201
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__HOL_Oord_0,def_lhs_atom201]) ).

fof(to_be_clausified_202,plain,
    ! [T_a,T_b,T_c,V_P,V_Q,V_R] :
      ( lhs_atom180(V_R,V_Q,V_P,T_c,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_ATP__Linkup_OCOMBS__def_0_0,def_lhs_atom180]) ).

fof(to_be_clausified_203,plain,
    ! [T_a,T_b,T_c,V_P,V_Q,V_R] :
      ( lhs_atom9(V_R,V_Q,V_P,T_c,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_ATP__Linkup_OCOMBC__def_0_0,def_lhs_atom9]) ).

fof(to_be_clausified_204,plain,
    ! [T_a,T_b,T_c,V_P,V_Q,V_R] :
      ( lhs_atom179(V_R,V_Q,V_P,T_c,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_ATP__Linkup_OCOMBB__def_0_0,def_lhs_atom179]) ).

fof(def_lhs_atom202,axiom,
    ! [V_x,T_a] :
      ( lhs_atom202(V_x,T_a)
    <=> hBOOL(hAPP(hAPP(c_fequal(T_a),V_x),V_x)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_205,plain,
    ! [T_a,V_x] :
      ( lhs_atom202(V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_ATP__Linkup_Oequal__imp__fequal_0_0,def_lhs_atom202]) ).

% Start CNF derivation
fof(c_0_0,axiom,
    ! [X13,X14,X15,X16,X17,X18,X19,X20,X21,X4,X5,X8] :
      ( lhs_atom136(X13,X14,X15,X16,X17,X18,X19,X20,X21,X4,X5,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_136) ).

fof(c_0_1,axiom,
    ! [X34,X13,X14,X15,X16,X17,X18,X19,X20,X21,X35,X8] :
      ( lhs_atom113(X34,X13,X14,X15,X16,X17,X18,X19,X20,X21,X35,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_113) ).

fof(c_0_2,axiom,
    ! [X13,X14,X15,X16,X17,X18,X19,X20,X21,X4,X5,X8] :
      ( lhs_atom88(X13,X14,X15,X16,X17,X18,X19,X20,X21,X4,X5,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_87) ).

fof(c_0_3,axiom,
    ! [X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X8] :
      ( lhs_atom79(X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_78) ).

fof(c_0_4,axiom,
    ! [X34,X13,X14,X15,X16,X17,X18,X19,X20,X21,X35,X8] :
      ( lhs_atom32(X34,X13,X14,X15,X16,X17,X18,X19,X20,X21,X35,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_31) ).

fof(c_0_5,axiom,
    ! [X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X8] :
      ( lhs_atom7(X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_6) ).

fof(c_0_6,axiom,
    ! [X13,X14,X15,X16,X17,X18,X19,X20,X21,X35,X8] :
      ( lhs_atom114(X13,X14,X15,X16,X17,X18,X19,X20,X21,X35,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_114) ).

fof(c_0_7,axiom,
    ! [X13,X14,X15,X16,X17,X18,X19,X20,X21,X35,X8] :
      ( lhs_atom86(X13,X14,X15,X16,X17,X18,X19,X20,X21,X35,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_85) ).

fof(c_0_8,axiom,
    ! [X11,X13,X14,X15,X16,X17,X18,X19,X20,X21,X8] :
      ( lhs_atom84(X11,X13,X14,X15,X16,X17,X18,X19,X20,X21,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_83) ).

fof(c_0_9,axiom,
    ! [X14,X15,X16,X17,X18,X19,X20,X21,X4,X5,X8] :
      ( lhs_atom76(X14,X15,X16,X17,X18,X19,X20,X21,X4,X5,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_75) ).

fof(c_0_10,axiom,
    ! [X14,X15,X16,X17,X18,X19,X20,X21,X4,X5,X8] :
      ( lhs_atom33(X14,X15,X16,X17,X18,X19,X20,X21,X4,X5,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_32) ).

fof(c_0_11,axiom,
    ! [X11,X13,X14,X15,X16,X17,X18,X19,X20,X21,X8] :
      ( lhs_atom11(X11,X13,X14,X15,X16,X17,X18,X19,X20,X21,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_10) ).

fof(c_0_12,axiom,
    ! [X12,X14,X15,X16,X17,X18,X19,X20,X21,X8] :
      ( lhs_atom165(X12,X14,X15,X16,X17,X18,X19,X20,X21,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_165) ).

fof(c_0_13,axiom,
    ! [X12,X14,X15,X16,X17,X18,X19,X20,X21,X8] :
      ( lhs_atom153(X12,X14,X15,X16,X17,X18,X19,X20,X21,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_153) ).

fof(c_0_14,axiom,
    ! [X14,X15,X16,X17,X18,X19,X20,X21,X8] :
      ( lhs_atom66(X14,X15,X16,X17,X18,X19,X20,X21,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_65) ).

fof(c_0_15,axiom,
    ! [X14,X15,X16,X17,X18,X19,X20,X21,X8] :
      ( lhs_atom30(X14,X15,X16,X17,X18,X19,X20,X21,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_29) ).

fof(c_0_16,axiom,
    ! [X50,X36,X28,X51,X26,X27,X8] :
      ( lhs_atom141(X50,X36,X28,X51,X26,X27,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_141) ).

fof(c_0_17,axiom,
    ! [X50,X36,X28,X51,X26,X27,X8] :
      ( lhs_atom121(X50,X36,X28,X51,X26,X27,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_121) ).

fof(c_0_18,axiom,
    ! [X23,X24,X25,X26,X27,X8] :
      ( lhs_atom179(X23,X24,X25,X26,X27,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_204) ).

fof(c_0_19,axiom,
    ! [X23,X24,X25,X26,X27,X8] :
      ( lhs_atom9(X23,X24,X25,X26,X27,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_203) ).

fof(c_0_20,axiom,
    ! [X23,X24,X25,X26,X27,X8] :
      ( lhs_atom180(X23,X24,X25,X26,X27,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_202) ).

fof(c_0_21,axiom,
    ! [X23,X24,X25,X26,X27,X8] :
      ( lhs_atom180(X23,X24,X25,X26,X27,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_180) ).

fof(c_0_22,axiom,
    ! [X23,X24,X25,X26,X27,X8] :
      ( lhs_atom179(X23,X24,X25,X26,X27,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_179) ).

fof(c_0_23,axiom,
    ! [X36,X28,X7,X26,X27,X8] :
      ( lhs_atom177(X36,X28,X7,X26,X27,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_177) ).

fof(c_0_24,axiom,
    ! [X55,X56,X21,X35,X27,X8] :
      ( lhs_atom169(X55,X56,X21,X35,X27,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_169) ).

fof(c_0_25,axiom,
    ! [X55,X56,X21,X35,X27,X8] :
      ( lhs_atom168(X55,X56,X21,X35,X27,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_168) ).

fof(c_0_26,axiom,
    ! [X1,X2,X34,X3,X13,X35] :
      ( lhs_atom140(X1,X2,X34,X3,X13,X35)
      | ~ $true ),
    file('<stdin>',to_be_clausified_140) ).

fof(c_0_27,axiom,
    ! [X6,X36,X28,X26,X27,X8] :
      ( lhs_atom119(X6,X36,X28,X26,X27,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_119) ).

fof(c_0_28,axiom,
    ! [X44,X36,X28,X26,X27,X8] :
      ( lhs_atom89(X44,X36,X28,X26,X27,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_88) ).

fof(c_0_29,axiom,
    ! [X6,X36,X28,X26,X27,X8] :
      ( lhs_atom78(X6,X36,X28,X26,X27,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_77) ).

fof(c_0_30,axiom,
    ! [X42,X43,X9,X26,X27,X8] :
      ( lhs_atom62(X42,X43,X9,X26,X27,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_61) ).

fof(c_0_31,axiom,
    ! [X6,X36,X28,X26,X27,X8] :
      ( lhs_atom61(X6,X36,X28,X26,X27,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_60) ).

fof(c_0_32,axiom,
    ! [X1,X2,X3,X13,X4,X5] :
      ( lhs_atom58(X1,X2,X3,X13,X4,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_57) ).

fof(c_0_33,axiom,
    ! [X34,X3,X13,X32,X33,X35] :
      ( lhs_atom52(X34,X3,X13,X32,X33,X35)
      | ~ $true ),
    file('<stdin>',to_be_clausified_51) ).

fof(c_0_34,axiom,
    ! [X34,X3,X13,X32,X33,X35] :
      ( lhs_atom29(X34,X3,X13,X32,X33,X35)
      | ~ $true ),
    file('<stdin>',to_be_clausified_28) ).

fof(c_0_35,axiom,
    ! [X1,X2,X3,X13,X4,X5] :
      ( lhs_atom28(X1,X2,X3,X13,X4,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_27) ).

fof(c_0_36,axiom,
    ! [X1,X2,X34,X3,X13,X35] :
      ( lhs_atom24(X1,X2,X34,X3,X13,X35)
      | ~ $true ),
    file('<stdin>',to_be_clausified_23) ).

fof(c_0_37,axiom,
    ! [X23,X24,X25,X26,X27,X8] :
      ( lhs_atom9(X23,X24,X25,X26,X27,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_8) ).

fof(c_0_38,axiom,
    ! [X28,X10,X7,X27,X8] :
      ( lhs_atom176(X28,X10,X7,X27,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_176) ).

fof(c_0_39,axiom,
    ! [X36,X28,X26,X27,X8] :
      ( lhs_atom174(X36,X28,X26,X27,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_174) ).

fof(c_0_40,axiom,
    ! [X28,X10,X7,X27,X8] :
      ( lhs_atom146(X28,X10,X7,X27,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_146) ).

fof(c_0_41,axiom,
    ! [X28,X9,X10,X27,X8] :
      ( lhs_atom137(X28,X9,X10,X27,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_137) ).

fof(c_0_42,axiom,
    ! [X1,X11,X2,X3,X13] :
      ( lhs_atom122(X1,X11,X2,X3,X13)
      | ~ $true ),
    file('<stdin>',to_be_clausified_122) ).

fof(c_0_43,axiom,
    ! [X1,X2,X3,X13,X35] :
      ( lhs_atom102(X1,X2,X3,X13,X35)
      | ~ $true ),
    file('<stdin>',to_be_clausified_102) ).

fof(c_0_44,axiom,
    ! [X28,X9,X10,X27,X8] :
      ( lhs_atom90(X28,X9,X10,X27,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_89) ).

fof(c_0_45,axiom,
    ! [X11,X3,X13,X32,X33] :
      ( lhs_atom85(X11,X3,X13,X32,X33)
      | ~ $true ),
    file('<stdin>',to_be_clausified_84) ).

fof(c_0_46,axiom,
    ! [X1,X2,X3,X4,X5] :
      ( lhs_atom83(X1,X2,X3,X4,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_82) ).

fof(c_0_47,axiom,
    ! [X3,X13,X37,X4,X5] :
      ( lhs_atom82(X3,X13,X37,X4,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_81) ).

fof(c_0_48,axiom,
    ! [X34,X13,X32,X33,X35] :
      ( lhs_atom77(X34,X13,X32,X33,X35)
      | ~ $true ),
    file('<stdin>',to_be_clausified_76) ).

fof(c_0_49,axiom,
    ! [X11,X3,X13,X32,X33] :
      ( lhs_atom69(X11,X3,X13,X32,X33)
      | ~ $true ),
    file('<stdin>',to_be_clausified_68) ).

fof(c_0_50,axiom,
    ! [X34,X3,X13,X37,X35] :
      ( lhs_atom67(X34,X3,X13,X37,X35)
      | ~ $true ),
    file('<stdin>',to_be_clausified_66) ).

fof(c_0_51,axiom,
    ! [X11,X41,X3,X13,X37] :
      ( lhs_atom64(X11,X41,X3,X13,X37)
      | ~ $true ),
    file('<stdin>',to_be_clausified_63) ).

fof(c_0_52,axiom,
    ! [X3,X32,X4,X33,X5] :
      ( lhs_atom54(X3,X32,X4,X33,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_53) ).

fof(c_0_53,axiom,
    ! [X3,X13,X37,X4,X5] :
      ( lhs_atom51(X3,X13,X37,X4,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_50) ).

fof(c_0_54,axiom,
    ! [X11,X41,X3,X13,X37] :
      ( lhs_atom50(X11,X41,X3,X13,X37)
      | ~ $true ),
    file('<stdin>',to_be_clausified_49) ).

fof(c_0_55,axiom,
    ! [X34,X13,X32,X33,X35] :
      ( lhs_atom47(X34,X13,X32,X33,X35)
      | ~ $true ),
    file('<stdin>',to_be_clausified_46) ).

fof(c_0_56,axiom,
    ! [X3,X32,X4,X33,X5] :
      ( lhs_atom45(X3,X32,X4,X33,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_44) ).

fof(c_0_57,axiom,
    ! [X28,X10,X7,X27,X8] :
      ( lhs_atom36(X28,X10,X7,X27,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_35) ).

fof(c_0_58,axiom,
    ! [X34,X3,X13,X37,X35] :
      ( lhs_atom35(X34,X3,X13,X37,X35)
      | ~ $true ),
    file('<stdin>',to_be_clausified_34) ).

fof(c_0_59,axiom,
    ! [X1,X2,X3,X13,X35] :
      ( lhs_atom25(X1,X2,X3,X13,X35)
      | ~ $true ),
    file('<stdin>',to_be_clausified_24) ).

fof(c_0_60,axiom,
    ! [X1,X11,X2,X3,X13] :
      ( lhs_atom21(X1,X11,X2,X3,X13)
      | ~ $true ),
    file('<stdin>',to_be_clausified_20) ).

fof(c_0_61,axiom,
    ! [X28,X10,X7,X27,X8] :
      ( lhs_atom17(X28,X10,X7,X27,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_16) ).

fof(c_0_62,axiom,
    ! [X1,X2,X3,X4,X5] :
      ( lhs_atom2(X1,X2,X3,X4,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_1) ).

fof(c_0_63,axiom,
    ! [X46,X10,X7,X8] :
      ( lhs_atom182(X46,X10,X7,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_182) ).

fof(c_0_64,axiom,
    ! [X46,X10,X7,X8] :
      ( lhs_atom181(X46,X10,X7,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_181) ).

fof(c_0_65,axiom,
    ! [X54,X24,X25,X8] :
      ( lhs_atom167(X54,X24,X25,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_167) ).

fof(c_0_66,axiom,
    ! [X1,X2,X12,X3] :
      ( lhs_atom164(X1,X2,X12,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_164) ).

fof(c_0_67,axiom,
    ! [X2,X34,X13,X35] :
      ( lhs_atom163(X2,X34,X13,X35)
      | ~ $true ),
    file('<stdin>',to_be_clausified_163) ).

fof(c_0_68,axiom,
    ! [X1,X2,X12,X3] :
      ( lhs_atom160(X1,X2,X12,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_160) ).

fof(c_0_69,axiom,
    ! [X2,X34,X13,X35] :
      ( lhs_atom158(X2,X34,X13,X35)
      | ~ $true ),
    file('<stdin>',to_be_clausified_158) ).

fof(c_0_70,axiom,
    ! [X2,X13,X4,X5] :
      ( lhs_atom155(X2,X13,X4,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_155) ).

fof(c_0_71,axiom,
    ! [X2,X13,X4,X5] :
      ( lhs_atom154(X2,X13,X4,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_154) ).

fof(c_0_72,axiom,
    ! [X36,X28,X26,X27] :
      ( lhs_atom150(X36,X28,X26,X27)
      | ~ $true ),
    file('<stdin>',to_be_clausified_150) ).

fof(c_0_73,axiom,
    ! [X36,X28,X26,X27] :
      ( lhs_atom148(X36,X28,X26,X27)
      | ~ $true ),
    file('<stdin>',to_be_clausified_148) ).

fof(c_0_74,axiom,
    ! [X46,X10,X7,X8] :
      ( lhs_atom145(X46,X10,X7,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_145) ).

fof(c_0_75,axiom,
    ! [X3,X37,X4,X5] :
      ( lhs_atom129(X3,X37,X4,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_129) ).

fof(c_0_76,axiom,
    ! [X11,X3,X13,X37] :
      ( lhs_atom111(X11,X3,X13,X37)
      | ~ $true ),
    file('<stdin>',to_be_clausified_111) ).

fof(c_0_77,axiom,
    ! [X11,X13,X32,X33] :
      ( lhs_atom103(X11,X13,X32,X33)
      | ~ $true ),
    file('<stdin>',to_be_clausified_103) ).

fof(c_0_78,axiom,
    ! [X9,X46,X10,X8] :
      ( lhs_atom99(X9,X46,X10,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_99) ).

fof(c_0_79,axiom,
    ! [X9,X10,X7,X8] :
      ( lhs_atom98(X9,X10,X7,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_98) ).

fof(c_0_80,axiom,
    ! [X11,X3,X13,X37] :
      ( lhs_atom63(X11,X3,X13,X37)
      | ~ $true ),
    file('<stdin>',to_be_clausified_62) ).

fof(c_0_81,axiom,
    ! [X28,X9,X40,X8] :
      ( lhs_atom48(X28,X9,X40,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_47) ).

fof(c_0_82,axiom,
    ! [X9,X10,X7,X8] :
      ( lhs_atom44(X9,X10,X7,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_43) ).

fof(c_0_83,axiom,
    ! [X9,X10,X7,X8] :
      ( lhs_atom43(X9,X10,X7,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_42) ).

fof(c_0_84,axiom,
    ! [X3,X37,X4,X5] :
      ( lhs_atom42(X3,X37,X4,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_41) ).

fof(c_0_85,axiom,
    ! [X28,X7,X27,X8] :
      ( lhs_atom39(X28,X7,X27,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_38) ).

fof(c_0_86,axiom,
    ! [X11,X13,X32,X33] :
      ( lhs_atom31(X11,X13,X32,X33)
      | ~ $true ),
    file('<stdin>',to_be_clausified_30) ).

fof(c_0_87,axiom,
    ! [X6,X28,X27,X8] :
      ( lhs_atom12(X6,X28,X27,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_11) ).

fof(c_0_88,axiom,
    ! [X22,X6,X7,X8] :
      ( lhs_atom8(X22,X6,X7,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_7) ).

fof(c_0_89,axiom,
    ! [X10,X7,X8] :
      ( lhs_atom184(X10,X7,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_184) ).

fof(c_0_90,axiom,
    ! [X10,X7,X8] :
      ( lhs_atom183(X10,X7,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_183) ).

fof(c_0_91,axiom,
    ! [X2,X4,X5] :
      ( lhs_atom162(X2,X4,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_162) ).

fof(c_0_92,axiom,
    ! [X2,X4,X5] :
      ( lhs_atom161(X2,X4,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_161) ).

fof(c_0_93,axiom,
    ! [X2,X13,X35] :
      ( lhs_atom159(X2,X13,X35)
      | ~ $true ),
    file('<stdin>',to_be_clausified_159) ).

fof(c_0_94,axiom,
    ! [X11,X2,X13] :
      ( lhs_atom157(X11,X2,X13)
      | ~ $true ),
    file('<stdin>',to_be_clausified_157) ).

fof(c_0_95,axiom,
    ! [X11,X2,X13] :
      ( lhs_atom156(X11,X2,X13)
      | ~ $true ),
    file('<stdin>',to_be_clausified_156) ).

fof(c_0_96,axiom,
    ! [X2,X13,X35] :
      ( lhs_atom152(X2,X13,X35)
      | ~ $true ),
    file('<stdin>',to_be_clausified_152) ).

fof(c_0_97,axiom,
    ! [X10,X7,X8] :
      ( lhs_atom144(X10,X7,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_144) ).

fof(c_0_98,axiom,
    ! [X10,X7,X8] :
      ( lhs_atom143(X10,X7,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_143) ).

fof(c_0_99,axiom,
    ! [X28,X27,X8] :
      ( lhs_atom139(X28,X27,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_139) ).

fof(c_0_100,axiom,
    ! [X1,X2,X3] :
      ( lhs_atom134(X1,X2,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_134) ).

fof(c_0_101,axiom,
    ! [X36,X27,X8] :
      ( lhs_atom128(X36,X27,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_128) ).

fof(c_0_102,axiom,
    ! [X28,X27,X8] :
      ( lhs_atom127(X28,X27,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_127) ).

fof(c_0_103,axiom,
    ! [X1,X2,X3] :
      ( lhs_atom126(X1,X2,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_126) ).

fof(c_0_104,axiom,
    ! [X6,X7,X8] :
      ( lhs_atom125(X6,X7,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_125) ).

fof(c_0_105,axiom,
    ! [X25,X52,X8] :
      ( lhs_atom124(X25,X52,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_124) ).

fof(c_0_106,axiom,
    ! [X9,X7,X8] :
      ( lhs_atom112(X9,X7,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_112) ).

fof(c_0_107,axiom,
    ! [X41,X3,X37] :
      ( lhs_atom104(X41,X3,X37)
      | ~ $true ),
    file('<stdin>',to_be_clausified_104) ).

fof(c_0_108,axiom,
    ! [X10,X7,X8] :
      ( lhs_atom101(X10,X7,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_101) ).

fof(c_0_109,axiom,
    ! [X10,X7,X8] :
      ( lhs_atom100(X10,X7,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_100) ).

fof(c_0_110,axiom,
    ! [X28,X27,X8] :
      ( lhs_atom91(X28,X27,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_92) ).

fof(c_0_111,axiom,
    ! [X28,X27,X8] :
      ( lhs_atom91(X28,X27,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_90) ).

fof(c_0_112,axiom,
    ! [X3,X32,X33] :
      ( lhs_atom81(X3,X32,X33)
      | ~ $true ),
    file('<stdin>',to_be_clausified_80) ).

fof(c_0_113,axiom,
    ! [X9,X7,X8] :
      ( lhs_atom80(X9,X7,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_79) ).

fof(c_0_114,axiom,
    ! [X41,X3,X37] :
      ( lhs_atom72(X41,X3,X37)
      | ~ $true ),
    file('<stdin>',to_be_clausified_71) ).

fof(c_0_115,axiom,
    ! [X9,X10,X8] :
      ( lhs_atom53(X9,X10,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_52) ).

fof(c_0_116,axiom,
    ! [X6,X7,X8] :
      ( lhs_atom49(X6,X7,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_48) ).

fof(c_0_117,axiom,
    ! [X9,X7,X8] :
      ( lhs_atom46(X9,X7,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_45) ).

fof(c_0_118,axiom,
    ! [X28,X27,X8] :
      ( lhs_atom41(X28,X27,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_40) ).

fof(c_0_119,axiom,
    ! [X28,X27,X8] :
      ( lhs_atom27(X28,X27,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_26) ).

fof(c_0_120,axiom,
    ! [X36,X27,X8] :
      ( lhs_atom26(X36,X27,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_25) ).

fof(c_0_121,axiom,
    ! [X9,X7,X8] :
      ( lhs_atom23(X9,X7,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_22) ).

fof(c_0_122,axiom,
    ! [X10,X7,X8] :
      ( lhs_atom22(X10,X7,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_21) ).

fof(c_0_123,axiom,
    ! [X3,X32,X33] :
      ( lhs_atom20(X3,X32,X33)
      | ~ $true ),
    file('<stdin>',to_be_clausified_19) ).

fof(c_0_124,axiom,
    ! [X28,X27,X8] :
      ( lhs_atom19(X28,X27,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_18) ).

fof(c_0_125,axiom,
    ! [X30,X6,X8] :
      ( lhs_atom15(X30,X6,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_14) ).

fof(c_0_126,axiom,
    ! [X10,X7,X8] :
      ( lhs_atom10(X10,X7,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_9) ).

fof(c_0_127,axiom,
    ! [X6,X10,X8] :
      ( lhs_atom5(X6,X10,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_4) ).

fof(c_0_128,axiom,
    ! [X9,X10,X8] :
      ( lhs_atom4(X9,X10,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_3) ).

fof(c_0_129,axiom,
    ! [X6,X7,X8] :
      ( lhs_atom3(X6,X7,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_2) ).

fof(c_0_130,axiom,
    ! [X6,X8] :
      ( lhs_atom202(X6,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_205) ).

fof(c_0_131,axiom,
    ! [X7,X8] :
      ( lhs_atom178(X7,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_178) ).

fof(c_0_132,axiom,
    ! [X6,X8] :
      ( lhs_atom172(X6,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_172) ).

fof(c_0_133,axiom,
    ! [X52,X8] :
      ( lhs_atom170(X52,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_170) ).

fof(c_0_134,axiom,
    ! [X53,X23] :
      ( lhs_atom147(X53,X23)
      | ~ $true ),
    file('<stdin>',to_be_clausified_147) ).

fof(c_0_135,axiom,
    ! [X32,X33] :
      ( lhs_atom142(X32,X33)
      | ~ $true ),
    file('<stdin>',to_be_clausified_142) ).

fof(c_0_136,axiom,
    ! [X1,X3] :
      ( lhs_atom138(X1,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_138) ).

fof(c_0_137,axiom,
    ! [X6,X8] :
      ( lhs_atom135(X6,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_135) ).

fof(c_0_138,axiom,
    ! [X7,X8] :
      ( lhs_atom133(X7,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_133) ).

fof(c_0_139,axiom,
    ! [X6,X8] :
      ( lhs_atom132(X6,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_132) ).

fof(c_0_140,axiom,
    ! [X32,X33] :
      ( lhs_atom123(X32,X33)
      | ~ $true ),
    file('<stdin>',to_be_clausified_123) ).

fof(c_0_141,axiom,
    ! [X7,X8] :
      ( lhs_atom120(X7,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_120) ).

fof(c_0_142,axiom,
    ! [X7,X8] :
      ( lhs_atom118(X7,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_118) ).

fof(c_0_143,axiom,
    ! [X6,X8] :
      ( lhs_atom117(X6,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_117) ).

fof(c_0_144,axiom,
    ! [X49,X8] :
      ( lhs_atom116(X49,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_116) ).

fof(c_0_145,axiom,
    ! [X9,X8] :
      ( lhs_atom115(X9,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_115) ).

fof(c_0_146,axiom,
    ! [X1,X3] :
      ( lhs_atom109(X1,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_109) ).

fof(c_0_147,axiom,
    ! [X47,X48] :
      ( lhs_atom105(X47,X48)
      | ~ $true ),
    file('<stdin>',to_be_clausified_105) ).

fof(c_0_148,axiom,
    ! [X10,X8] :
      ( lhs_atom97(X10,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_97) ).

fof(c_0_149,axiom,
    ! [X7,X8] :
      ( lhs_atom96(X7,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_96) ).

fof(c_0_150,axiom,
    ! [X10,X8] :
      ( lhs_atom95(X10,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_95) ).

fof(c_0_151,axiom,
    ! [X7,X8] :
      ( lhs_atom94(X7,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_94) ).

fof(c_0_152,axiom,
    ! [X45,X8] :
      ( lhs_atom92(X45,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_91) ).

fof(c_0_153,axiom,
    ! [X6,X8] :
      ( lhs_atom87(X6,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_86) ).

fof(c_0_154,axiom,
    ! [X7,X8] :
      ( lhs_atom75(X7,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_74) ).

fof(c_0_155,axiom,
    ! [X6,X8] :
      ( lhs_atom74(X6,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_73) ).

fof(c_0_156,axiom,
    ! [X6,X8] :
      ( lhs_atom71(X6,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_70) ).

fof(c_0_157,axiom,
    ! [X3,X37] :
      ( lhs_atom70(X3,X37)
      | ~ $true ),
    file('<stdin>',to_be_clausified_69) ).

fof(c_0_158,axiom,
    ! [X7,X8] :
      ( lhs_atom68(X7,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_67) ).

fof(c_0_159,axiom,
    ! [X7,X8] :
      ( lhs_atom60(X7,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_59) ).

fof(c_0_160,axiom,
    ! [X7,X8] :
      ( lhs_atom59(X7,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_58) ).

fof(c_0_161,axiom,
    ! [X30,X8] :
      ( lhs_atom57(X30,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_56) ).

fof(c_0_162,axiom,
    ! [X29,X8] :
      ( lhs_atom56(X29,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_55) ).

fof(c_0_163,axiom,
    ! [X6,X8] :
      ( lhs_atom55(X6,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_54) ).

fof(c_0_164,axiom,
    ! [X7,X8] :
      ( lhs_atom40(X7,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_39) ).

fof(c_0_165,axiom,
    ! [X3,X37] :
      ( lhs_atom34(X3,X37)
      | ~ $true ),
    file('<stdin>',to_be_clausified_33) ).

fof(c_0_166,axiom,
    ! [X9,X31] :
      ( lhs_atom18(X9,X31)
      | ~ $true ),
    file('<stdin>',to_be_clausified_17) ).

fof(c_0_167,axiom,
    ! [X29,X8] :
      ( lhs_atom14(X29,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_13) ).

fof(c_0_168,axiom,
    ! [X22,X8] :
      ( lhs_atom13(X22,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_12) ).

fof(c_0_169,axiom,
    ! [X7,X8] :
      ( lhs_atom6(X7,X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_5) ).

fof(c_0_170,axiom,
    ! [X49] :
      ( lhs_atom175(X49)
      | ~ $true ),
    file('<stdin>',to_be_clausified_175) ).

fof(c_0_171,axiom,
    ! [X47] :
      ( lhs_atom171(X47)
      | ~ $true ),
    file('<stdin>',to_be_clausified_171) ).

fof(c_0_172,axiom,
    ! [X2] :
      ( lhs_atom166(X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_166) ).

fof(c_0_173,axiom,
    ! [X2] :
      ( lhs_atom151(X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_151) ).

fof(c_0_174,axiom,
    ! [X48] :
      ( lhs_atom131(X48)
      | ~ $true ),
    file('<stdin>',to_be_clausified_131) ).

fof(c_0_175,axiom,
    ! [X48] :
      ( lhs_atom130(X48)
      | ~ $true ),
    file('<stdin>',to_be_clausified_130) ).

fof(c_0_176,axiom,
    ! [X8] :
      ( lhs_atom110(X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_110) ).

fof(c_0_177,axiom,
    ! [X39] :
      ( lhs_atom107(X39)
      | ~ $true ),
    file('<stdin>',to_be_clausified_107) ).

fof(c_0_178,axiom,
    ! [X38] :
      ( lhs_atom106(X38)
      | ~ $true ),
    file('<stdin>',to_be_clausified_106) ).

fof(c_0_179,axiom,
    ! [X8] :
      ( lhs_atom93(X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_93) ).

fof(c_0_180,axiom,
    ! [X8] :
      ( lhs_atom73(X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_72) ).

fof(c_0_181,axiom,
    ! [X39] :
      ( lhs_atom38(X39)
      | ~ $true ),
    file('<stdin>',to_be_clausified_37) ).

fof(c_0_182,axiom,
    ! [X38] :
      ( lhs_atom37(X38)
      | ~ $true ),
    file('<stdin>',to_be_clausified_36) ).

fof(c_0_183,axiom,
    ( lhs_atom201
    | ~ $true ),
    file('<stdin>',to_be_clausified_201) ).

fof(c_0_184,axiom,
    ( lhs_atom200
    | ~ $true ),
    file('<stdin>',to_be_clausified_200) ).

fof(c_0_185,axiom,
    ( lhs_atom199
    | ~ $true ),
    file('<stdin>',to_be_clausified_199) ).

fof(c_0_186,axiom,
    ( lhs_atom198
    | ~ $true ),
    file('<stdin>',to_be_clausified_198) ).

fof(c_0_187,axiom,
    ( lhs_atom197
    | ~ $true ),
    file('<stdin>',to_be_clausified_197) ).

fof(c_0_188,axiom,
    ( lhs_atom196
    | ~ $true ),
    file('<stdin>',to_be_clausified_196) ).

fof(c_0_189,axiom,
    ( lhs_atom195
    | ~ $true ),
    file('<stdin>',to_be_clausified_195) ).

fof(c_0_190,axiom,
    ( lhs_atom194
    | ~ $true ),
    file('<stdin>',to_be_clausified_194) ).

fof(c_0_191,axiom,
    ( lhs_atom193
    | ~ $true ),
    file('<stdin>',to_be_clausified_193) ).

fof(c_0_192,axiom,
    ( lhs_atom192
    | ~ $true ),
    file('<stdin>',to_be_clausified_192) ).

fof(c_0_193,axiom,
    ( lhs_atom191
    | ~ $true ),
    file('<stdin>',to_be_clausified_191) ).

fof(c_0_194,axiom,
    ( lhs_atom190
    | ~ $true ),
    file('<stdin>',to_be_clausified_190) ).

fof(c_0_195,axiom,
    ( lhs_atom189
    | ~ $true ),
    file('<stdin>',to_be_clausified_189) ).

fof(c_0_196,axiom,
    ( lhs_atom188
    | ~ $true ),
    file('<stdin>',to_be_clausified_188) ).

fof(c_0_197,axiom,
    ( lhs_atom187
    | ~ $true ),
    file('<stdin>',to_be_clausified_187) ).

fof(c_0_198,axiom,
    ( lhs_atom186
    | ~ $true ),
    file('<stdin>',to_be_clausified_186) ).

fof(c_0_199,axiom,
    ( lhs_atom185
    | ~ $true ),
    file('<stdin>',to_be_clausified_185) ).

fof(c_0_200,axiom,
    ( lhs_atom173
    | ~ $true ),
    file('<stdin>',to_be_clausified_173) ).

fof(c_0_201,axiom,
    ( lhs_atom149
    | ~ $true ),
    file('<stdin>',to_be_clausified_149) ).

fof(c_0_202,axiom,
    ( lhs_atom108
    | ~ $true ),
    file('<stdin>',to_be_clausified_108) ).

fof(c_0_203,axiom,
    ( lhs_atom65
    | ~ $true ),
    file('<stdin>',to_be_clausified_64) ).

fof(c_0_204,axiom,
    ( lhs_atom16
    | ~ $true ),
    file('<stdin>',to_be_clausified_15) ).

fof(c_0_205,axiom,
    ( lhs_atom1
    | ~ $true ),
    file('<stdin>',to_be_clausified_0) ).

fof(c_0_206,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20,X21,X4,X5,X8] : lhs_atom136(X13,X14,X15,X16,X17,X18,X19,X20,X21,X4,X5,X8),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_207,plain,
    ! [X34,X13,X14,X15,X16,X17,X18,X19,X20,X21,X35,X8] : lhs_atom113(X34,X13,X14,X15,X16,X17,X18,X19,X20,X21,X35,X8),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_208,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20,X21,X4,X5,X8] : lhs_atom88(X13,X14,X15,X16,X17,X18,X19,X20,X21,X4,X5,X8),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_209,plain,
    ! [X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X8] : lhs_atom79(X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X8),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_210,plain,
    ! [X34,X13,X14,X15,X16,X17,X18,X19,X20,X21,X35,X8] : lhs_atom32(X34,X13,X14,X15,X16,X17,X18,X19,X20,X21,X35,X8),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_211,plain,
    ! [X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X8] : lhs_atom7(X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X8),
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

fof(c_0_212,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20,X21,X35,X8] : lhs_atom114(X13,X14,X15,X16,X17,X18,X19,X20,X21,X35,X8),
    inference(fof_simplification,[status(thm)],[c_0_6]) ).

fof(c_0_213,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20,X21,X35,X8] : lhs_atom86(X13,X14,X15,X16,X17,X18,X19,X20,X21,X35,X8),
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

fof(c_0_214,plain,
    ! [X11,X13,X14,X15,X16,X17,X18,X19,X20,X21,X8] : lhs_atom84(X11,X13,X14,X15,X16,X17,X18,X19,X20,X21,X8),
    inference(fof_simplification,[status(thm)],[c_0_8]) ).

fof(c_0_215,plain,
    ! [X14,X15,X16,X17,X18,X19,X20,X21,X4,X5,X8] : lhs_atom76(X14,X15,X16,X17,X18,X19,X20,X21,X4,X5,X8),
    inference(fof_simplification,[status(thm)],[c_0_9]) ).

fof(c_0_216,plain,
    ! [X14,X15,X16,X17,X18,X19,X20,X21,X4,X5,X8] : lhs_atom33(X14,X15,X16,X17,X18,X19,X20,X21,X4,X5,X8),
    inference(fof_simplification,[status(thm)],[c_0_10]) ).

fof(c_0_217,plain,
    ! [X11,X13,X14,X15,X16,X17,X18,X19,X20,X21,X8] : lhs_atom11(X11,X13,X14,X15,X16,X17,X18,X19,X20,X21,X8),
    inference(fof_simplification,[status(thm)],[c_0_11]) ).

fof(c_0_218,plain,
    ! [X12,X14,X15,X16,X17,X18,X19,X20,X21,X8] : lhs_atom165(X12,X14,X15,X16,X17,X18,X19,X20,X21,X8),
    inference(fof_simplification,[status(thm)],[c_0_12]) ).

fof(c_0_219,plain,
    ! [X12,X14,X15,X16,X17,X18,X19,X20,X21,X8] : lhs_atom153(X12,X14,X15,X16,X17,X18,X19,X20,X21,X8),
    inference(fof_simplification,[status(thm)],[c_0_13]) ).

fof(c_0_220,plain,
    ! [X14,X15,X16,X17,X18,X19,X20,X21,X8] : lhs_atom66(X14,X15,X16,X17,X18,X19,X20,X21,X8),
    inference(fof_simplification,[status(thm)],[c_0_14]) ).

fof(c_0_221,plain,
    ! [X14,X15,X16,X17,X18,X19,X20,X21,X8] : lhs_atom30(X14,X15,X16,X17,X18,X19,X20,X21,X8),
    inference(fof_simplification,[status(thm)],[c_0_15]) ).

fof(c_0_222,plain,
    ! [X50,X36,X28,X51,X26,X27,X8] : lhs_atom141(X50,X36,X28,X51,X26,X27,X8),
    inference(fof_simplification,[status(thm)],[c_0_16]) ).

fof(c_0_223,plain,
    ! [X50,X36,X28,X51,X26,X27,X8] : lhs_atom121(X50,X36,X28,X51,X26,X27,X8),
    inference(fof_simplification,[status(thm)],[c_0_17]) ).

fof(c_0_224,plain,
    ! [X23,X24,X25,X26,X27,X8] : lhs_atom179(X23,X24,X25,X26,X27,X8),
    inference(fof_simplification,[status(thm)],[c_0_18]) ).

fof(c_0_225,plain,
    ! [X23,X24,X25,X26,X27,X8] : lhs_atom9(X23,X24,X25,X26,X27,X8),
    inference(fof_simplification,[status(thm)],[c_0_19]) ).

fof(c_0_226,plain,
    ! [X23,X24,X25,X26,X27,X8] : lhs_atom180(X23,X24,X25,X26,X27,X8),
    inference(fof_simplification,[status(thm)],[c_0_20]) ).

fof(c_0_227,plain,
    ! [X23,X24,X25,X26,X27,X8] : lhs_atom180(X23,X24,X25,X26,X27,X8),
    inference(fof_simplification,[status(thm)],[c_0_21]) ).

fof(c_0_228,plain,
    ! [X23,X24,X25,X26,X27,X8] : lhs_atom179(X23,X24,X25,X26,X27,X8),
    inference(fof_simplification,[status(thm)],[c_0_22]) ).

fof(c_0_229,plain,
    ! [X36,X28,X7,X26,X27,X8] : lhs_atom177(X36,X28,X7,X26,X27,X8),
    inference(fof_simplification,[status(thm)],[c_0_23]) ).

fof(c_0_230,plain,
    ! [X55,X56,X21,X35,X27,X8] : lhs_atom169(X55,X56,X21,X35,X27,X8),
    inference(fof_simplification,[status(thm)],[c_0_24]) ).

fof(c_0_231,plain,
    ! [X55,X56,X21,X35,X27,X8] : lhs_atom168(X55,X56,X21,X35,X27,X8),
    inference(fof_simplification,[status(thm)],[c_0_25]) ).

fof(c_0_232,plain,
    ! [X1,X2,X34,X3,X13,X35] : lhs_atom140(X1,X2,X34,X3,X13,X35),
    inference(fof_simplification,[status(thm)],[c_0_26]) ).

fof(c_0_233,plain,
    ! [X6,X36,X28,X26,X27,X8] : lhs_atom119(X6,X36,X28,X26,X27,X8),
    inference(fof_simplification,[status(thm)],[c_0_27]) ).

fof(c_0_234,plain,
    ! [X44,X36,X28,X26,X27,X8] : lhs_atom89(X44,X36,X28,X26,X27,X8),
    inference(fof_simplification,[status(thm)],[c_0_28]) ).

fof(c_0_235,plain,
    ! [X6,X36,X28,X26,X27,X8] : lhs_atom78(X6,X36,X28,X26,X27,X8),
    inference(fof_simplification,[status(thm)],[c_0_29]) ).

fof(c_0_236,plain,
    ! [X42,X43,X9,X26,X27,X8] : lhs_atom62(X42,X43,X9,X26,X27,X8),
    inference(fof_simplification,[status(thm)],[c_0_30]) ).

fof(c_0_237,plain,
    ! [X6,X36,X28,X26,X27,X8] : lhs_atom61(X6,X36,X28,X26,X27,X8),
    inference(fof_simplification,[status(thm)],[c_0_31]) ).

fof(c_0_238,plain,
    ! [X1,X2,X3,X13,X4,X5] : lhs_atom58(X1,X2,X3,X13,X4,X5),
    inference(fof_simplification,[status(thm)],[c_0_32]) ).

fof(c_0_239,plain,
    ! [X34,X3,X13,X32,X33,X35] : lhs_atom52(X34,X3,X13,X32,X33,X35),
    inference(fof_simplification,[status(thm)],[c_0_33]) ).

fof(c_0_240,plain,
    ! [X34,X3,X13,X32,X33,X35] : lhs_atom29(X34,X3,X13,X32,X33,X35),
    inference(fof_simplification,[status(thm)],[c_0_34]) ).

fof(c_0_241,plain,
    ! [X1,X2,X3,X13,X4,X5] : lhs_atom28(X1,X2,X3,X13,X4,X5),
    inference(fof_simplification,[status(thm)],[c_0_35]) ).

fof(c_0_242,plain,
    ! [X1,X2,X34,X3,X13,X35] : lhs_atom24(X1,X2,X34,X3,X13,X35),
    inference(fof_simplification,[status(thm)],[c_0_36]) ).

fof(c_0_243,plain,
    ! [X23,X24,X25,X26,X27,X8] : lhs_atom9(X23,X24,X25,X26,X27,X8),
    inference(fof_simplification,[status(thm)],[c_0_37]) ).

fof(c_0_244,plain,
    ! [X28,X10,X7,X27,X8] : lhs_atom176(X28,X10,X7,X27,X8),
    inference(fof_simplification,[status(thm)],[c_0_38]) ).

fof(c_0_245,plain,
    ! [X36,X28,X26,X27,X8] : lhs_atom174(X36,X28,X26,X27,X8),
    inference(fof_simplification,[status(thm)],[c_0_39]) ).

fof(c_0_246,plain,
    ! [X28,X10,X7,X27,X8] : lhs_atom146(X28,X10,X7,X27,X8),
    inference(fof_simplification,[status(thm)],[c_0_40]) ).

fof(c_0_247,plain,
    ! [X28,X9,X10,X27,X8] : lhs_atom137(X28,X9,X10,X27,X8),
    inference(fof_simplification,[status(thm)],[c_0_41]) ).

fof(c_0_248,plain,
    ! [X1,X11,X2,X3,X13] : lhs_atom122(X1,X11,X2,X3,X13),
    inference(fof_simplification,[status(thm)],[c_0_42]) ).

fof(c_0_249,plain,
    ! [X1,X2,X3,X13,X35] : lhs_atom102(X1,X2,X3,X13,X35),
    inference(fof_simplification,[status(thm)],[c_0_43]) ).

fof(c_0_250,plain,
    ! [X28,X9,X10,X27,X8] : lhs_atom90(X28,X9,X10,X27,X8),
    inference(fof_simplification,[status(thm)],[c_0_44]) ).

fof(c_0_251,plain,
    ! [X11,X3,X13,X32,X33] : lhs_atom85(X11,X3,X13,X32,X33),
    inference(fof_simplification,[status(thm)],[c_0_45]) ).

fof(c_0_252,plain,
    ! [X1,X2,X3,X4,X5] : lhs_atom83(X1,X2,X3,X4,X5),
    inference(fof_simplification,[status(thm)],[c_0_46]) ).

fof(c_0_253,plain,
    ! [X3,X13,X37,X4,X5] : lhs_atom82(X3,X13,X37,X4,X5),
    inference(fof_simplification,[status(thm)],[c_0_47]) ).

fof(c_0_254,plain,
    ! [X34,X13,X32,X33,X35] : lhs_atom77(X34,X13,X32,X33,X35),
    inference(fof_simplification,[status(thm)],[c_0_48]) ).

fof(c_0_255,plain,
    ! [X11,X3,X13,X32,X33] : lhs_atom69(X11,X3,X13,X32,X33),
    inference(fof_simplification,[status(thm)],[c_0_49]) ).

fof(c_0_256,plain,
    ! [X34,X3,X13,X37,X35] : lhs_atom67(X34,X3,X13,X37,X35),
    inference(fof_simplification,[status(thm)],[c_0_50]) ).

fof(c_0_257,plain,
    ! [X11,X41,X3,X13,X37] : lhs_atom64(X11,X41,X3,X13,X37),
    inference(fof_simplification,[status(thm)],[c_0_51]) ).

fof(c_0_258,plain,
    ! [X3,X32,X4,X33,X5] : lhs_atom54(X3,X32,X4,X33,X5),
    inference(fof_simplification,[status(thm)],[c_0_52]) ).

fof(c_0_259,plain,
    ! [X3,X13,X37,X4,X5] : lhs_atom51(X3,X13,X37,X4,X5),
    inference(fof_simplification,[status(thm)],[c_0_53]) ).

fof(c_0_260,plain,
    ! [X11,X41,X3,X13,X37] : lhs_atom50(X11,X41,X3,X13,X37),
    inference(fof_simplification,[status(thm)],[c_0_54]) ).

fof(c_0_261,plain,
    ! [X34,X13,X32,X33,X35] : lhs_atom47(X34,X13,X32,X33,X35),
    inference(fof_simplification,[status(thm)],[c_0_55]) ).

fof(c_0_262,plain,
    ! [X3,X32,X4,X33,X5] : lhs_atom45(X3,X32,X4,X33,X5),
    inference(fof_simplification,[status(thm)],[c_0_56]) ).

fof(c_0_263,plain,
    ! [X28,X10,X7,X27,X8] : lhs_atom36(X28,X10,X7,X27,X8),
    inference(fof_simplification,[status(thm)],[c_0_57]) ).

fof(c_0_264,plain,
    ! [X34,X3,X13,X37,X35] : lhs_atom35(X34,X3,X13,X37,X35),
    inference(fof_simplification,[status(thm)],[c_0_58]) ).

fof(c_0_265,plain,
    ! [X1,X2,X3,X13,X35] : lhs_atom25(X1,X2,X3,X13,X35),
    inference(fof_simplification,[status(thm)],[c_0_59]) ).

fof(c_0_266,plain,
    ! [X1,X11,X2,X3,X13] : lhs_atom21(X1,X11,X2,X3,X13),
    inference(fof_simplification,[status(thm)],[c_0_60]) ).

fof(c_0_267,plain,
    ! [X28,X10,X7,X27,X8] : lhs_atom17(X28,X10,X7,X27,X8),
    inference(fof_simplification,[status(thm)],[c_0_61]) ).

fof(c_0_268,plain,
    ! [X1,X2,X3,X4,X5] : lhs_atom2(X1,X2,X3,X4,X5),
    inference(fof_simplification,[status(thm)],[c_0_62]) ).

fof(c_0_269,plain,
    ! [X46,X10,X7,X8] : lhs_atom182(X46,X10,X7,X8),
    inference(fof_simplification,[status(thm)],[c_0_63]) ).

fof(c_0_270,plain,
    ! [X46,X10,X7,X8] : lhs_atom181(X46,X10,X7,X8),
    inference(fof_simplification,[status(thm)],[c_0_64]) ).

fof(c_0_271,plain,
    ! [X54,X24,X25,X8] : lhs_atom167(X54,X24,X25,X8),
    inference(fof_simplification,[status(thm)],[c_0_65]) ).

fof(c_0_272,plain,
    ! [X1,X2,X12,X3] : lhs_atom164(X1,X2,X12,X3),
    inference(fof_simplification,[status(thm)],[c_0_66]) ).

fof(c_0_273,plain,
    ! [X2,X34,X13,X35] : lhs_atom163(X2,X34,X13,X35),
    inference(fof_simplification,[status(thm)],[c_0_67]) ).

fof(c_0_274,plain,
    ! [X1,X2,X12,X3] : lhs_atom160(X1,X2,X12,X3),
    inference(fof_simplification,[status(thm)],[c_0_68]) ).

fof(c_0_275,plain,
    ! [X2,X34,X13,X35] : lhs_atom158(X2,X34,X13,X35),
    inference(fof_simplification,[status(thm)],[c_0_69]) ).

fof(c_0_276,plain,
    ! [X2,X13,X4,X5] : lhs_atom155(X2,X13,X4,X5),
    inference(fof_simplification,[status(thm)],[c_0_70]) ).

fof(c_0_277,plain,
    ! [X2,X13,X4,X5] : lhs_atom154(X2,X13,X4,X5),
    inference(fof_simplification,[status(thm)],[c_0_71]) ).

fof(c_0_278,plain,
    ! [X36,X28,X26,X27] : lhs_atom150(X36,X28,X26,X27),
    inference(fof_simplification,[status(thm)],[c_0_72]) ).

fof(c_0_279,plain,
    ! [X36,X28,X26,X27] : lhs_atom148(X36,X28,X26,X27),
    inference(fof_simplification,[status(thm)],[c_0_73]) ).

fof(c_0_280,plain,
    ! [X46,X10,X7,X8] : lhs_atom145(X46,X10,X7,X8),
    inference(fof_simplification,[status(thm)],[c_0_74]) ).

fof(c_0_281,plain,
    ! [X3,X37,X4,X5] : lhs_atom129(X3,X37,X4,X5),
    inference(fof_simplification,[status(thm)],[c_0_75]) ).

fof(c_0_282,plain,
    ! [X11,X3,X13,X37] : lhs_atom111(X11,X3,X13,X37),
    inference(fof_simplification,[status(thm)],[c_0_76]) ).

fof(c_0_283,plain,
    ! [X11,X13,X32,X33] : lhs_atom103(X11,X13,X32,X33),
    inference(fof_simplification,[status(thm)],[c_0_77]) ).

fof(c_0_284,plain,
    ! [X9,X46,X10,X8] : lhs_atom99(X9,X46,X10,X8),
    inference(fof_simplification,[status(thm)],[c_0_78]) ).

fof(c_0_285,plain,
    ! [X9,X10,X7,X8] : lhs_atom98(X9,X10,X7,X8),
    inference(fof_simplification,[status(thm)],[c_0_79]) ).

fof(c_0_286,plain,
    ! [X11,X3,X13,X37] : lhs_atom63(X11,X3,X13,X37),
    inference(fof_simplification,[status(thm)],[c_0_80]) ).

fof(c_0_287,plain,
    ! [X28,X9,X40,X8] : lhs_atom48(X28,X9,X40,X8),
    inference(fof_simplification,[status(thm)],[c_0_81]) ).

fof(c_0_288,plain,
    ! [X9,X10,X7,X8] : lhs_atom44(X9,X10,X7,X8),
    inference(fof_simplification,[status(thm)],[c_0_82]) ).

fof(c_0_289,plain,
    ! [X9,X10,X7,X8] : lhs_atom43(X9,X10,X7,X8),
    inference(fof_simplification,[status(thm)],[c_0_83]) ).

fof(c_0_290,plain,
    ! [X3,X37,X4,X5] : lhs_atom42(X3,X37,X4,X5),
    inference(fof_simplification,[status(thm)],[c_0_84]) ).

fof(c_0_291,plain,
    ! [X28,X7,X27,X8] : lhs_atom39(X28,X7,X27,X8),
    inference(fof_simplification,[status(thm)],[c_0_85]) ).

fof(c_0_292,plain,
    ! [X11,X13,X32,X33] : lhs_atom31(X11,X13,X32,X33),
    inference(fof_simplification,[status(thm)],[c_0_86]) ).

fof(c_0_293,plain,
    ! [X6,X28,X27,X8] : lhs_atom12(X6,X28,X27,X8),
    inference(fof_simplification,[status(thm)],[c_0_87]) ).

fof(c_0_294,plain,
    ! [X22,X6,X7,X8] : lhs_atom8(X22,X6,X7,X8),
    inference(fof_simplification,[status(thm)],[c_0_88]) ).

fof(c_0_295,plain,
    ! [X10,X7,X8] : lhs_atom184(X10,X7,X8),
    inference(fof_simplification,[status(thm)],[c_0_89]) ).

fof(c_0_296,plain,
    ! [X10,X7,X8] : lhs_atom183(X10,X7,X8),
    inference(fof_simplification,[status(thm)],[c_0_90]) ).

fof(c_0_297,plain,
    ! [X2,X4,X5] : lhs_atom162(X2,X4,X5),
    inference(fof_simplification,[status(thm)],[c_0_91]) ).

fof(c_0_298,plain,
    ! [X2,X4,X5] : lhs_atom161(X2,X4,X5),
    inference(fof_simplification,[status(thm)],[c_0_92]) ).

fof(c_0_299,plain,
    ! [X2,X13,X35] : lhs_atom159(X2,X13,X35),
    inference(fof_simplification,[status(thm)],[c_0_93]) ).

fof(c_0_300,plain,
    ! [X11,X2,X13] : lhs_atom157(X11,X2,X13),
    inference(fof_simplification,[status(thm)],[c_0_94]) ).

fof(c_0_301,plain,
    ! [X11,X2,X13] : lhs_atom156(X11,X2,X13),
    inference(fof_simplification,[status(thm)],[c_0_95]) ).

fof(c_0_302,plain,
    ! [X2,X13,X35] : lhs_atom152(X2,X13,X35),
    inference(fof_simplification,[status(thm)],[c_0_96]) ).

fof(c_0_303,plain,
    ! [X10,X7,X8] : lhs_atom144(X10,X7,X8),
    inference(fof_simplification,[status(thm)],[c_0_97]) ).

fof(c_0_304,plain,
    ! [X10,X7,X8] : lhs_atom143(X10,X7,X8),
    inference(fof_simplification,[status(thm)],[c_0_98]) ).

fof(c_0_305,plain,
    ! [X28,X27,X8] : lhs_atom139(X28,X27,X8),
    inference(fof_simplification,[status(thm)],[c_0_99]) ).

fof(c_0_306,plain,
    ! [X1,X2,X3] : lhs_atom134(X1,X2,X3),
    inference(fof_simplification,[status(thm)],[c_0_100]) ).

fof(c_0_307,plain,
    ! [X36,X27,X8] : lhs_atom128(X36,X27,X8),
    inference(fof_simplification,[status(thm)],[c_0_101]) ).

fof(c_0_308,plain,
    ! [X28,X27,X8] : lhs_atom127(X28,X27,X8),
    inference(fof_simplification,[status(thm)],[c_0_102]) ).

fof(c_0_309,plain,
    ! [X1,X2,X3] : lhs_atom126(X1,X2,X3),
    inference(fof_simplification,[status(thm)],[c_0_103]) ).

fof(c_0_310,plain,
    ! [X6,X7,X8] : lhs_atom125(X6,X7,X8),
    inference(fof_simplification,[status(thm)],[c_0_104]) ).

fof(c_0_311,plain,
    ! [X25,X52,X8] : lhs_atom124(X25,X52,X8),
    inference(fof_simplification,[status(thm)],[c_0_105]) ).

fof(c_0_312,plain,
    ! [X9,X7,X8] : lhs_atom112(X9,X7,X8),
    inference(fof_simplification,[status(thm)],[c_0_106]) ).

fof(c_0_313,plain,
    ! [X41,X3,X37] : lhs_atom104(X41,X3,X37),
    inference(fof_simplification,[status(thm)],[c_0_107]) ).

fof(c_0_314,plain,
    ! [X10,X7,X8] : lhs_atom101(X10,X7,X8),
    inference(fof_simplification,[status(thm)],[c_0_108]) ).

fof(c_0_315,plain,
    ! [X10,X7,X8] : lhs_atom100(X10,X7,X8),
    inference(fof_simplification,[status(thm)],[c_0_109]) ).

fof(c_0_316,plain,
    ! [X28,X27,X8] : lhs_atom91(X28,X27,X8),
    inference(fof_simplification,[status(thm)],[c_0_110]) ).

fof(c_0_317,plain,
    ! [X28,X27,X8] : lhs_atom91(X28,X27,X8),
    inference(fof_simplification,[status(thm)],[c_0_111]) ).

fof(c_0_318,plain,
    ! [X3,X32,X33] : lhs_atom81(X3,X32,X33),
    inference(fof_simplification,[status(thm)],[c_0_112]) ).

fof(c_0_319,plain,
    ! [X9,X7,X8] : lhs_atom80(X9,X7,X8),
    inference(fof_simplification,[status(thm)],[c_0_113]) ).

fof(c_0_320,plain,
    ! [X41,X3,X37] : lhs_atom72(X41,X3,X37),
    inference(fof_simplification,[status(thm)],[c_0_114]) ).

fof(c_0_321,plain,
    ! [X9,X10,X8] : lhs_atom53(X9,X10,X8),
    inference(fof_simplification,[status(thm)],[c_0_115]) ).

fof(c_0_322,plain,
    ! [X6,X7,X8] : lhs_atom49(X6,X7,X8),
    inference(fof_simplification,[status(thm)],[c_0_116]) ).

fof(c_0_323,plain,
    ! [X9,X7,X8] : lhs_atom46(X9,X7,X8),
    inference(fof_simplification,[status(thm)],[c_0_117]) ).

fof(c_0_324,plain,
    ! [X28,X27,X8] : lhs_atom41(X28,X27,X8),
    inference(fof_simplification,[status(thm)],[c_0_118]) ).

fof(c_0_325,plain,
    ! [X28,X27,X8] : lhs_atom27(X28,X27,X8),
    inference(fof_simplification,[status(thm)],[c_0_119]) ).

fof(c_0_326,plain,
    ! [X36,X27,X8] : lhs_atom26(X36,X27,X8),
    inference(fof_simplification,[status(thm)],[c_0_120]) ).

fof(c_0_327,plain,
    ! [X9,X7,X8] : lhs_atom23(X9,X7,X8),
    inference(fof_simplification,[status(thm)],[c_0_121]) ).

fof(c_0_328,plain,
    ! [X10,X7,X8] : lhs_atom22(X10,X7,X8),
    inference(fof_simplification,[status(thm)],[c_0_122]) ).

fof(c_0_329,plain,
    ! [X3,X32,X33] : lhs_atom20(X3,X32,X33),
    inference(fof_simplification,[status(thm)],[c_0_123]) ).

fof(c_0_330,plain,
    ! [X28,X27,X8] : lhs_atom19(X28,X27,X8),
    inference(fof_simplification,[status(thm)],[c_0_124]) ).

fof(c_0_331,plain,
    ! [X30,X6,X8] : lhs_atom15(X30,X6,X8),
    inference(fof_simplification,[status(thm)],[c_0_125]) ).

fof(c_0_332,plain,
    ! [X10,X7,X8] : lhs_atom10(X10,X7,X8),
    inference(fof_simplification,[status(thm)],[c_0_126]) ).

fof(c_0_333,plain,
    ! [X6,X10,X8] : lhs_atom5(X6,X10,X8),
    inference(fof_simplification,[status(thm)],[c_0_127]) ).

fof(c_0_334,plain,
    ! [X9,X10,X8] : lhs_atom4(X9,X10,X8),
    inference(fof_simplification,[status(thm)],[c_0_128]) ).

fof(c_0_335,plain,
    ! [X6,X7,X8] : lhs_atom3(X6,X7,X8),
    inference(fof_simplification,[status(thm)],[c_0_129]) ).

fof(c_0_336,plain,
    ! [X6,X8] : lhs_atom202(X6,X8),
    inference(fof_simplification,[status(thm)],[c_0_130]) ).

fof(c_0_337,plain,
    ! [X7,X8] : lhs_atom178(X7,X8),
    inference(fof_simplification,[status(thm)],[c_0_131]) ).

fof(c_0_338,plain,
    ! [X6,X8] : lhs_atom172(X6,X8),
    inference(fof_simplification,[status(thm)],[c_0_132]) ).

fof(c_0_339,plain,
    ! [X52,X8] : lhs_atom170(X52,X8),
    inference(fof_simplification,[status(thm)],[c_0_133]) ).

fof(c_0_340,plain,
    ! [X53,X23] : lhs_atom147(X53,X23),
    inference(fof_simplification,[status(thm)],[c_0_134]) ).

fof(c_0_341,plain,
    ! [X32,X33] : lhs_atom142(X32,X33),
    inference(fof_simplification,[status(thm)],[c_0_135]) ).

fof(c_0_342,plain,
    ! [X1,X3] : lhs_atom138(X1,X3),
    inference(fof_simplification,[status(thm)],[c_0_136]) ).

fof(c_0_343,plain,
    ! [X6,X8] : lhs_atom135(X6,X8),
    inference(fof_simplification,[status(thm)],[c_0_137]) ).

fof(c_0_344,plain,
    ! [X7,X8] : lhs_atom133(X7,X8),
    inference(fof_simplification,[status(thm)],[c_0_138]) ).

fof(c_0_345,plain,
    ! [X6,X8] : lhs_atom132(X6,X8),
    inference(fof_simplification,[status(thm)],[c_0_139]) ).

fof(c_0_346,plain,
    ! [X32,X33] : lhs_atom123(X32,X33),
    inference(fof_simplification,[status(thm)],[c_0_140]) ).

fof(c_0_347,plain,
    ! [X7,X8] : lhs_atom120(X7,X8),
    inference(fof_simplification,[status(thm)],[c_0_141]) ).

fof(c_0_348,plain,
    ! [X7,X8] : lhs_atom118(X7,X8),
    inference(fof_simplification,[status(thm)],[c_0_142]) ).

fof(c_0_349,plain,
    ! [X6,X8] : lhs_atom117(X6,X8),
    inference(fof_simplification,[status(thm)],[c_0_143]) ).

fof(c_0_350,plain,
    ! [X49,X8] : lhs_atom116(X49,X8),
    inference(fof_simplification,[status(thm)],[c_0_144]) ).

fof(c_0_351,plain,
    ! [X9,X8] : lhs_atom115(X9,X8),
    inference(fof_simplification,[status(thm)],[c_0_145]) ).

fof(c_0_352,plain,
    ! [X1,X3] : lhs_atom109(X1,X3),
    inference(fof_simplification,[status(thm)],[c_0_146]) ).

fof(c_0_353,plain,
    ! [X47,X48] : lhs_atom105(X47,X48),
    inference(fof_simplification,[status(thm)],[c_0_147]) ).

fof(c_0_354,plain,
    ! [X10,X8] : lhs_atom97(X10,X8),
    inference(fof_simplification,[status(thm)],[c_0_148]) ).

fof(c_0_355,plain,
    ! [X7,X8] : lhs_atom96(X7,X8),
    inference(fof_simplification,[status(thm)],[c_0_149]) ).

fof(c_0_356,plain,
    ! [X10,X8] : lhs_atom95(X10,X8),
    inference(fof_simplification,[status(thm)],[c_0_150]) ).

fof(c_0_357,plain,
    ! [X7,X8] : lhs_atom94(X7,X8),
    inference(fof_simplification,[status(thm)],[c_0_151]) ).

fof(c_0_358,plain,
    ! [X45,X8] : lhs_atom92(X45,X8),
    inference(fof_simplification,[status(thm)],[c_0_152]) ).

fof(c_0_359,plain,
    ! [X6,X8] : lhs_atom87(X6,X8),
    inference(fof_simplification,[status(thm)],[c_0_153]) ).

fof(c_0_360,plain,
    ! [X7,X8] : lhs_atom75(X7,X8),
    inference(fof_simplification,[status(thm)],[c_0_154]) ).

fof(c_0_361,plain,
    ! [X6,X8] : lhs_atom74(X6,X8),
    inference(fof_simplification,[status(thm)],[c_0_155]) ).

fof(c_0_362,plain,
    ! [X6,X8] : lhs_atom71(X6,X8),
    inference(fof_simplification,[status(thm)],[c_0_156]) ).

fof(c_0_363,plain,
    ! [X3,X37] : lhs_atom70(X3,X37),
    inference(fof_simplification,[status(thm)],[c_0_157]) ).

fof(c_0_364,plain,
    ! [X7,X8] : lhs_atom68(X7,X8),
    inference(fof_simplification,[status(thm)],[c_0_158]) ).

fof(c_0_365,plain,
    ! [X7,X8] : lhs_atom60(X7,X8),
    inference(fof_simplification,[status(thm)],[c_0_159]) ).

fof(c_0_366,plain,
    ! [X7,X8] : lhs_atom59(X7,X8),
    inference(fof_simplification,[status(thm)],[c_0_160]) ).

fof(c_0_367,plain,
    ! [X30,X8] : lhs_atom57(X30,X8),
    inference(fof_simplification,[status(thm)],[c_0_161]) ).

fof(c_0_368,plain,
    ! [X29,X8] : lhs_atom56(X29,X8),
    inference(fof_simplification,[status(thm)],[c_0_162]) ).

fof(c_0_369,plain,
    ! [X6,X8] : lhs_atom55(X6,X8),
    inference(fof_simplification,[status(thm)],[c_0_163]) ).

fof(c_0_370,plain,
    ! [X7,X8] : lhs_atom40(X7,X8),
    inference(fof_simplification,[status(thm)],[c_0_164]) ).

fof(c_0_371,plain,
    ! [X3,X37] : lhs_atom34(X3,X37),
    inference(fof_simplification,[status(thm)],[c_0_165]) ).

fof(c_0_372,plain,
    ! [X9,X31] : lhs_atom18(X9,X31),
    inference(fof_simplification,[status(thm)],[c_0_166]) ).

fof(c_0_373,plain,
    ! [X29,X8] : lhs_atom14(X29,X8),
    inference(fof_simplification,[status(thm)],[c_0_167]) ).

fof(c_0_374,plain,
    ! [X22,X8] : lhs_atom13(X22,X8),
    inference(fof_simplification,[status(thm)],[c_0_168]) ).

fof(c_0_375,plain,
    ! [X7,X8] : lhs_atom6(X7,X8),
    inference(fof_simplification,[status(thm)],[c_0_169]) ).

fof(c_0_376,plain,
    ! [X49] : lhs_atom175(X49),
    inference(fof_simplification,[status(thm)],[c_0_170]) ).

fof(c_0_377,plain,
    ! [X47] : lhs_atom171(X47),
    inference(fof_simplification,[status(thm)],[c_0_171]) ).

fof(c_0_378,plain,
    ! [X2] : lhs_atom166(X2),
    inference(fof_simplification,[status(thm)],[c_0_172]) ).

fof(c_0_379,plain,
    ! [X2] : lhs_atom151(X2),
    inference(fof_simplification,[status(thm)],[c_0_173]) ).

fof(c_0_380,plain,
    ! [X48] : lhs_atom131(X48),
    inference(fof_simplification,[status(thm)],[c_0_174]) ).

fof(c_0_381,plain,
    ! [X48] : lhs_atom130(X48),
    inference(fof_simplification,[status(thm)],[c_0_175]) ).

fof(c_0_382,plain,
    ! [X8] : lhs_atom110(X8),
    inference(fof_simplification,[status(thm)],[c_0_176]) ).

fof(c_0_383,plain,
    ! [X39] : lhs_atom107(X39),
    inference(fof_simplification,[status(thm)],[c_0_177]) ).

fof(c_0_384,plain,
    ! [X38] : lhs_atom106(X38),
    inference(fof_simplification,[status(thm)],[c_0_178]) ).

fof(c_0_385,plain,
    ! [X8] : lhs_atom93(X8),
    inference(fof_simplification,[status(thm)],[c_0_179]) ).

fof(c_0_386,plain,
    ! [X8] : lhs_atom73(X8),
    inference(fof_simplification,[status(thm)],[c_0_180]) ).

fof(c_0_387,plain,
    ! [X39] : lhs_atom38(X39),
    inference(fof_simplification,[status(thm)],[c_0_181]) ).

fof(c_0_388,plain,
    ! [X38] : lhs_atom37(X38),
    inference(fof_simplification,[status(thm)],[c_0_182]) ).

fof(c_0_389,plain,
    lhs_atom201,
    inference(fof_simplification,[status(thm)],[c_0_183]) ).

fof(c_0_390,plain,
    lhs_atom200,
    inference(fof_simplification,[status(thm)],[c_0_184]) ).

fof(c_0_391,plain,
    lhs_atom199,
    inference(fof_simplification,[status(thm)],[c_0_185]) ).

fof(c_0_392,plain,
    lhs_atom198,
    inference(fof_simplification,[status(thm)],[c_0_186]) ).

fof(c_0_393,plain,
    lhs_atom197,
    inference(fof_simplification,[status(thm)],[c_0_187]) ).

fof(c_0_394,plain,
    lhs_atom196,
    inference(fof_simplification,[status(thm)],[c_0_188]) ).

fof(c_0_395,plain,
    lhs_atom195,
    inference(fof_simplification,[status(thm)],[c_0_189]) ).

fof(c_0_396,plain,
    lhs_atom194,
    inference(fof_simplification,[status(thm)],[c_0_190]) ).

fof(c_0_397,plain,
    lhs_atom193,
    inference(fof_simplification,[status(thm)],[c_0_191]) ).

fof(c_0_398,plain,
    lhs_atom192,
    inference(fof_simplification,[status(thm)],[c_0_192]) ).

fof(c_0_399,plain,
    lhs_atom191,
    inference(fof_simplification,[status(thm)],[c_0_193]) ).

fof(c_0_400,plain,
    lhs_atom190,
    inference(fof_simplification,[status(thm)],[c_0_194]) ).

fof(c_0_401,plain,
    lhs_atom189,
    inference(fof_simplification,[status(thm)],[c_0_195]) ).

fof(c_0_402,plain,
    lhs_atom188,
    inference(fof_simplification,[status(thm)],[c_0_196]) ).

fof(c_0_403,plain,
    lhs_atom187,
    inference(fof_simplification,[status(thm)],[c_0_197]) ).

fof(c_0_404,plain,
    lhs_atom186,
    inference(fof_simplification,[status(thm)],[c_0_198]) ).

fof(c_0_405,plain,
    lhs_atom185,
    inference(fof_simplification,[status(thm)],[c_0_199]) ).

fof(c_0_406,plain,
    lhs_atom173,
    inference(fof_simplification,[status(thm)],[c_0_200]) ).

fof(c_0_407,plain,
    lhs_atom149,
    inference(fof_simplification,[status(thm)],[c_0_201]) ).

fof(c_0_408,plain,
    lhs_atom108,
    inference(fof_simplification,[status(thm)],[c_0_202]) ).

fof(c_0_409,plain,
    lhs_atom65,
    inference(fof_simplification,[status(thm)],[c_0_203]) ).

fof(c_0_410,plain,
    lhs_atom16,
    inference(fof_simplification,[status(thm)],[c_0_204]) ).

fof(c_0_411,plain,
    lhs_atom1,
    inference(fof_simplification,[status(thm)],[c_0_205]) ).

fof(c_0_412,plain,
    ! [X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33] : lhs_atom136(X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_206]) ).

fof(c_0_413,plain,
    ! [X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47] : lhs_atom113(X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47),
    inference(variable_rename,[status(thm)],[c_0_207]) ).

fof(c_0_414,plain,
    ! [X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33] : lhs_atom88(X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_208]) ).

fof(c_0_415,plain,
    ! [X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33] : lhs_atom79(X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_209]) ).

fof(c_0_416,plain,
    ! [X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47] : lhs_atom32(X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47),
    inference(variable_rename,[status(thm)],[c_0_210]) ).

fof(c_0_417,plain,
    ! [X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33] : lhs_atom7(X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_211]) ).

fof(c_0_418,plain,
    ! [X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46] : lhs_atom114(X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46),
    inference(variable_rename,[status(thm)],[c_0_212]) ).

fof(c_0_419,plain,
    ! [X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46] : lhs_atom86(X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46),
    inference(variable_rename,[status(thm)],[c_0_213]) ).

fof(c_0_420,plain,
    ! [X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32] : lhs_atom84(X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32),
    inference(variable_rename,[status(thm)],[c_0_214]) ).

fof(c_0_421,plain,
    ! [X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32] : lhs_atom76(X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32),
    inference(variable_rename,[status(thm)],[c_0_215]) ).

fof(c_0_422,plain,
    ! [X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32] : lhs_atom33(X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32),
    inference(variable_rename,[status(thm)],[c_0_216]) ).

fof(c_0_423,plain,
    ! [X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32] : lhs_atom11(X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32),
    inference(variable_rename,[status(thm)],[c_0_217]) ).

fof(c_0_424,plain,
    ! [X22,X23,X24,X25,X26,X27,X28,X29,X30,X31] : lhs_atom165(X22,X23,X24,X25,X26,X27,X28,X29,X30,X31),
    inference(variable_rename,[status(thm)],[c_0_218]) ).

fof(c_0_425,plain,
    ! [X22,X23,X24,X25,X26,X27,X28,X29,X30,X31] : lhs_atom153(X22,X23,X24,X25,X26,X27,X28,X29,X30,X31),
    inference(variable_rename,[status(thm)],[c_0_219]) ).

fof(c_0_426,plain,
    ! [X22,X23,X24,X25,X26,X27,X28,X29,X30] : lhs_atom66(X22,X23,X24,X25,X26,X27,X28,X29,X30),
    inference(variable_rename,[status(thm)],[c_0_220]) ).

fof(c_0_427,plain,
    ! [X22,X23,X24,X25,X26,X27,X28,X29,X30] : lhs_atom30(X22,X23,X24,X25,X26,X27,X28,X29,X30),
    inference(variable_rename,[status(thm)],[c_0_221]) ).

fof(c_0_428,plain,
    ! [X52,X53,X54,X55,X56,X57,X58] : lhs_atom141(X52,X53,X54,X55,X56,X57,X58),
    inference(variable_rename,[status(thm)],[c_0_222]) ).

fof(c_0_429,plain,
    ! [X52,X53,X54,X55,X56,X57,X58] : lhs_atom121(X52,X53,X54,X55,X56,X57,X58),
    inference(variable_rename,[status(thm)],[c_0_223]) ).

fof(c_0_430,plain,
    ! [X28,X29,X30,X31,X32,X33] : lhs_atom179(X28,X29,X30,X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_224]) ).

fof(c_0_431,plain,
    ! [X28,X29,X30,X31,X32,X33] : lhs_atom9(X28,X29,X30,X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_225]) ).

fof(c_0_432,plain,
    ! [X28,X29,X30,X31,X32,X33] : lhs_atom180(X28,X29,X30,X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_226]) ).

fof(c_0_433,plain,
    ! [X28,X29,X30,X31,X32,X33] : lhs_atom180(X28,X29,X30,X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_227]) ).

fof(c_0_434,plain,
    ! [X28,X29,X30,X31,X32,X33] : lhs_atom179(X28,X29,X30,X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_228]) ).

fof(c_0_435,plain,
    ! [X37,X38,X39,X40,X41,X42] : lhs_atom177(X37,X38,X39,X40,X41,X42),
    inference(variable_rename,[status(thm)],[c_0_229]) ).

fof(c_0_436,plain,
    ! [X57,X58,X59,X60,X61,X62] : lhs_atom169(X57,X58,X59,X60,X61,X62),
    inference(variable_rename,[status(thm)],[c_0_230]) ).

fof(c_0_437,plain,
    ! [X57,X58,X59,X60,X61,X62] : lhs_atom168(X57,X58,X59,X60,X61,X62),
    inference(variable_rename,[status(thm)],[c_0_231]) ).

fof(c_0_438,plain,
    ! [X36,X37,X38,X39,X40,X41] : lhs_atom140(X36,X37,X38,X39,X40,X41),
    inference(variable_rename,[status(thm)],[c_0_232]) ).

fof(c_0_439,plain,
    ! [X37,X38,X39,X40,X41,X42] : lhs_atom119(X37,X38,X39,X40,X41,X42),
    inference(variable_rename,[status(thm)],[c_0_233]) ).

fof(c_0_440,plain,
    ! [X45,X46,X47,X48,X49,X50] : lhs_atom89(X45,X46,X47,X48,X49,X50),
    inference(variable_rename,[status(thm)],[c_0_234]) ).

fof(c_0_441,plain,
    ! [X37,X38,X39,X40,X41,X42] : lhs_atom78(X37,X38,X39,X40,X41,X42),
    inference(variable_rename,[status(thm)],[c_0_235]) ).

fof(c_0_442,plain,
    ! [X44,X45,X46,X47,X48,X49] : lhs_atom62(X44,X45,X46,X47,X48,X49),
    inference(variable_rename,[status(thm)],[c_0_236]) ).

fof(c_0_443,plain,
    ! [X37,X38,X39,X40,X41,X42] : lhs_atom61(X37,X38,X39,X40,X41,X42),
    inference(variable_rename,[status(thm)],[c_0_237]) ).

fof(c_0_444,plain,
    ! [X14,X15,X16,X17,X18,X19] : lhs_atom58(X14,X15,X16,X17,X18,X19),
    inference(variable_rename,[status(thm)],[c_0_238]) ).

fof(c_0_445,plain,
    ! [X36,X37,X38,X39,X40,X41] : lhs_atom52(X36,X37,X38,X39,X40,X41),
    inference(variable_rename,[status(thm)],[c_0_239]) ).

fof(c_0_446,plain,
    ! [X36,X37,X38,X39,X40,X41] : lhs_atom29(X36,X37,X38,X39,X40,X41),
    inference(variable_rename,[status(thm)],[c_0_240]) ).

fof(c_0_447,plain,
    ! [X14,X15,X16,X17,X18,X19] : lhs_atom28(X14,X15,X16,X17,X18,X19),
    inference(variable_rename,[status(thm)],[c_0_241]) ).

fof(c_0_448,plain,
    ! [X36,X37,X38,X39,X40,X41] : lhs_atom24(X36,X37,X38,X39,X40,X41),
    inference(variable_rename,[status(thm)],[c_0_242]) ).

fof(c_0_449,plain,
    ! [X28,X29,X30,X31,X32,X33] : lhs_atom9(X28,X29,X30,X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_243]) ).

fof(c_0_450,plain,
    ! [X29,X30,X31,X32,X33] : lhs_atom176(X29,X30,X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_244]) ).

fof(c_0_451,plain,
    ! [X37,X38,X39,X40,X41] : lhs_atom174(X37,X38,X39,X40,X41),
    inference(variable_rename,[status(thm)],[c_0_245]) ).

fof(c_0_452,plain,
    ! [X29,X30,X31,X32,X33] : lhs_atom146(X29,X30,X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_246]) ).

fof(c_0_453,plain,
    ! [X29,X30,X31,X32,X33] : lhs_atom137(X29,X30,X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_247]) ).

fof(c_0_454,plain,
    ! [X14,X15,X16,X17,X18] : lhs_atom122(X14,X15,X16,X17,X18),
    inference(variable_rename,[status(thm)],[c_0_248]) ).

fof(c_0_455,plain,
    ! [X36,X37,X38,X39,X40] : lhs_atom102(X36,X37,X38,X39,X40),
    inference(variable_rename,[status(thm)],[c_0_249]) ).

fof(c_0_456,plain,
    ! [X29,X30,X31,X32,X33] : lhs_atom90(X29,X30,X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_250]) ).

fof(c_0_457,plain,
    ! [X34,X35,X36,X37,X38] : lhs_atom85(X34,X35,X36,X37,X38),
    inference(variable_rename,[status(thm)],[c_0_251]) ).

fof(c_0_458,plain,
    ! [X6,X7,X8,X9,X10] : lhs_atom83(X6,X7,X8,X9,X10),
    inference(variable_rename,[status(thm)],[c_0_252]) ).

fof(c_0_459,plain,
    ! [X38,X39,X40,X41,X42] : lhs_atom82(X38,X39,X40,X41,X42),
    inference(variable_rename,[status(thm)],[c_0_253]) ).

fof(c_0_460,plain,
    ! [X36,X37,X38,X39,X40] : lhs_atom77(X36,X37,X38,X39,X40),
    inference(variable_rename,[status(thm)],[c_0_254]) ).

fof(c_0_461,plain,
    ! [X34,X35,X36,X37,X38] : lhs_atom69(X34,X35,X36,X37,X38),
    inference(variable_rename,[status(thm)],[c_0_255]) ).

fof(c_0_462,plain,
    ! [X38,X39,X40,X41,X42] : lhs_atom67(X38,X39,X40,X41,X42),
    inference(variable_rename,[status(thm)],[c_0_256]) ).

fof(c_0_463,plain,
    ! [X42,X43,X44,X45,X46] : lhs_atom64(X42,X43,X44,X45,X46),
    inference(variable_rename,[status(thm)],[c_0_257]) ).

fof(c_0_464,plain,
    ! [X34,X35,X36,X37,X38] : lhs_atom54(X34,X35,X36,X37,X38),
    inference(variable_rename,[status(thm)],[c_0_258]) ).

fof(c_0_465,plain,
    ! [X38,X39,X40,X41,X42] : lhs_atom51(X38,X39,X40,X41,X42),
    inference(variable_rename,[status(thm)],[c_0_259]) ).

fof(c_0_466,plain,
    ! [X42,X43,X44,X45,X46] : lhs_atom50(X42,X43,X44,X45,X46),
    inference(variable_rename,[status(thm)],[c_0_260]) ).

fof(c_0_467,plain,
    ! [X36,X37,X38,X39,X40] : lhs_atom47(X36,X37,X38,X39,X40),
    inference(variable_rename,[status(thm)],[c_0_261]) ).

fof(c_0_468,plain,
    ! [X34,X35,X36,X37,X38] : lhs_atom45(X34,X35,X36,X37,X38),
    inference(variable_rename,[status(thm)],[c_0_262]) ).

fof(c_0_469,plain,
    ! [X29,X30,X31,X32,X33] : lhs_atom36(X29,X30,X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_263]) ).

fof(c_0_470,plain,
    ! [X38,X39,X40,X41,X42] : lhs_atom35(X38,X39,X40,X41,X42),
    inference(variable_rename,[status(thm)],[c_0_264]) ).

fof(c_0_471,plain,
    ! [X36,X37,X38,X39,X40] : lhs_atom25(X36,X37,X38,X39,X40),
    inference(variable_rename,[status(thm)],[c_0_265]) ).

fof(c_0_472,plain,
    ! [X14,X15,X16,X17,X18] : lhs_atom21(X14,X15,X16,X17,X18),
    inference(variable_rename,[status(thm)],[c_0_266]) ).

fof(c_0_473,plain,
    ! [X29,X30,X31,X32,X33] : lhs_atom17(X29,X30,X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_267]) ).

fof(c_0_474,plain,
    ! [X6,X7,X8,X9,X10] : lhs_atom2(X6,X7,X8,X9,X10),
    inference(variable_rename,[status(thm)],[c_0_268]) ).

fof(c_0_475,plain,
    ! [X47,X48,X49,X50] : lhs_atom182(X47,X48,X49,X50),
    inference(variable_rename,[status(thm)],[c_0_269]) ).

fof(c_0_476,plain,
    ! [X47,X48,X49,X50] : lhs_atom181(X47,X48,X49,X50),
    inference(variable_rename,[status(thm)],[c_0_270]) ).

fof(c_0_477,plain,
    ! [X55,X56,X57,X58] : lhs_atom167(X55,X56,X57,X58),
    inference(variable_rename,[status(thm)],[c_0_271]) ).

fof(c_0_478,plain,
    ! [X13,X14,X15,X16] : lhs_atom164(X13,X14,X15,X16),
    inference(variable_rename,[status(thm)],[c_0_272]) ).

fof(c_0_479,plain,
    ! [X36,X37,X38,X39] : lhs_atom163(X36,X37,X38,X39),
    inference(variable_rename,[status(thm)],[c_0_273]) ).

fof(c_0_480,plain,
    ! [X13,X14,X15,X16] : lhs_atom160(X13,X14,X15,X16),
    inference(variable_rename,[status(thm)],[c_0_274]) ).

fof(c_0_481,plain,
    ! [X36,X37,X38,X39] : lhs_atom158(X36,X37,X38,X39),
    inference(variable_rename,[status(thm)],[c_0_275]) ).

fof(c_0_482,plain,
    ! [X14,X15,X16,X17] : lhs_atom155(X14,X15,X16,X17),
    inference(variable_rename,[status(thm)],[c_0_276]) ).

fof(c_0_483,plain,
    ! [X14,X15,X16,X17] : lhs_atom154(X14,X15,X16,X17),
    inference(variable_rename,[status(thm)],[c_0_277]) ).

fof(c_0_484,plain,
    ! [X37,X38,X39,X40] : lhs_atom150(X37,X38,X39,X40),
    inference(variable_rename,[status(thm)],[c_0_278]) ).

fof(c_0_485,plain,
    ! [X37,X38,X39,X40] : lhs_atom148(X37,X38,X39,X40),
    inference(variable_rename,[status(thm)],[c_0_279]) ).

fof(c_0_486,plain,
    ! [X47,X48,X49,X50] : lhs_atom145(X47,X48,X49,X50),
    inference(variable_rename,[status(thm)],[c_0_280]) ).

fof(c_0_487,plain,
    ! [X38,X39,X40,X41] : lhs_atom129(X38,X39,X40,X41),
    inference(variable_rename,[status(thm)],[c_0_281]) ).

fof(c_0_488,plain,
    ! [X38,X39,X40,X41] : lhs_atom111(X38,X39,X40,X41),
    inference(variable_rename,[status(thm)],[c_0_282]) ).

fof(c_0_489,plain,
    ! [X34,X35,X36,X37] : lhs_atom103(X34,X35,X36,X37),
    inference(variable_rename,[status(thm)],[c_0_283]) ).

fof(c_0_490,plain,
    ! [X47,X48,X49,X50] : lhs_atom99(X47,X48,X49,X50),
    inference(variable_rename,[status(thm)],[c_0_284]) ).

fof(c_0_491,plain,
    ! [X11,X12,X13,X14] : lhs_atom98(X11,X12,X13,X14),
    inference(variable_rename,[status(thm)],[c_0_285]) ).

fof(c_0_492,plain,
    ! [X38,X39,X40,X41] : lhs_atom63(X38,X39,X40,X41),
    inference(variable_rename,[status(thm)],[c_0_286]) ).

fof(c_0_493,plain,
    ! [X41,X42,X43,X44] : lhs_atom48(X41,X42,X43,X44),
    inference(variable_rename,[status(thm)],[c_0_287]) ).

fof(c_0_494,plain,
    ! [X11,X12,X13,X14] : lhs_atom44(X11,X12,X13,X14),
    inference(variable_rename,[status(thm)],[c_0_288]) ).

fof(c_0_495,plain,
    ! [X11,X12,X13,X14] : lhs_atom43(X11,X12,X13,X14),
    inference(variable_rename,[status(thm)],[c_0_289]) ).

fof(c_0_496,plain,
    ! [X38,X39,X40,X41] : lhs_atom42(X38,X39,X40,X41),
    inference(variable_rename,[status(thm)],[c_0_290]) ).

fof(c_0_497,plain,
    ! [X29,X30,X31,X32] : lhs_atom39(X29,X30,X31,X32),
    inference(variable_rename,[status(thm)],[c_0_291]) ).

fof(c_0_498,plain,
    ! [X34,X35,X36,X37] : lhs_atom31(X34,X35,X36,X37),
    inference(variable_rename,[status(thm)],[c_0_292]) ).

fof(c_0_499,plain,
    ! [X29,X30,X31,X32] : lhs_atom12(X29,X30,X31,X32),
    inference(variable_rename,[status(thm)],[c_0_293]) ).

fof(c_0_500,plain,
    ! [X23,X24,X25,X26] : lhs_atom8(X23,X24,X25,X26),
    inference(variable_rename,[status(thm)],[c_0_294]) ).

fof(c_0_501,plain,
    ! [X11,X12,X13] : lhs_atom184(X11,X12,X13),
    inference(variable_rename,[status(thm)],[c_0_295]) ).

fof(c_0_502,plain,
    ! [X11,X12,X13] : lhs_atom183(X11,X12,X13),
    inference(variable_rename,[status(thm)],[c_0_296]) ).

fof(c_0_503,plain,
    ! [X6,X7,X8] : lhs_atom162(X6,X7,X8),
    inference(variable_rename,[status(thm)],[c_0_297]) ).

fof(c_0_504,plain,
    ! [X6,X7,X8] : lhs_atom161(X6,X7,X8),
    inference(variable_rename,[status(thm)],[c_0_298]) ).

fof(c_0_505,plain,
    ! [X36,X37,X38] : lhs_atom159(X36,X37,X38),
    inference(variable_rename,[status(thm)],[c_0_299]) ).

fof(c_0_506,plain,
    ! [X14,X15,X16] : lhs_atom157(X14,X15,X16),
    inference(variable_rename,[status(thm)],[c_0_300]) ).

fof(c_0_507,plain,
    ! [X14,X15,X16] : lhs_atom156(X14,X15,X16),
    inference(variable_rename,[status(thm)],[c_0_301]) ).

fof(c_0_508,plain,
    ! [X36,X37,X38] : lhs_atom152(X36,X37,X38),
    inference(variable_rename,[status(thm)],[c_0_302]) ).

fof(c_0_509,plain,
    ! [X11,X12,X13] : lhs_atom144(X11,X12,X13),
    inference(variable_rename,[status(thm)],[c_0_303]) ).

fof(c_0_510,plain,
    ! [X11,X12,X13] : lhs_atom143(X11,X12,X13),
    inference(variable_rename,[status(thm)],[c_0_304]) ).

fof(c_0_511,plain,
    ! [X29,X30,X31] : lhs_atom139(X29,X30,X31),
    inference(variable_rename,[status(thm)],[c_0_305]) ).

fof(c_0_512,plain,
    ! [X4,X5,X6] : lhs_atom134(X4,X5,X6),
    inference(variable_rename,[status(thm)],[c_0_306]) ).

fof(c_0_513,plain,
    ! [X37,X38,X39] : lhs_atom128(X37,X38,X39),
    inference(variable_rename,[status(thm)],[c_0_307]) ).

fof(c_0_514,plain,
    ! [X29,X30,X31] : lhs_atom127(X29,X30,X31),
    inference(variable_rename,[status(thm)],[c_0_308]) ).

fof(c_0_515,plain,
    ! [X4,X5,X6] : lhs_atom126(X4,X5,X6),
    inference(variable_rename,[status(thm)],[c_0_309]) ).

fof(c_0_516,plain,
    ! [X9,X10,X11] : lhs_atom125(X9,X10,X11),
    inference(variable_rename,[status(thm)],[c_0_310]) ).

fof(c_0_517,plain,
    ! [X53,X54,X55] : lhs_atom124(X53,X54,X55),
    inference(variable_rename,[status(thm)],[c_0_311]) ).

fof(c_0_518,plain,
    ! [X10,X11,X12] : lhs_atom112(X10,X11,X12),
    inference(variable_rename,[status(thm)],[c_0_312]) ).

fof(c_0_519,plain,
    ! [X42,X43,X44] : lhs_atom104(X42,X43,X44),
    inference(variable_rename,[status(thm)],[c_0_313]) ).

fof(c_0_520,plain,
    ! [X11,X12,X13] : lhs_atom101(X11,X12,X13),
    inference(variable_rename,[status(thm)],[c_0_314]) ).

fof(c_0_521,plain,
    ! [X11,X12,X13] : lhs_atom100(X11,X12,X13),
    inference(variable_rename,[status(thm)],[c_0_315]) ).

fof(c_0_522,plain,
    ! [X29,X30,X31] : lhs_atom91(X29,X30,X31),
    inference(variable_rename,[status(thm)],[c_0_316]) ).

fof(c_0_523,plain,
    ! [X29,X30,X31] : lhs_atom91(X29,X30,X31),
    inference(variable_rename,[status(thm)],[c_0_317]) ).

fof(c_0_524,plain,
    ! [X34,X35,X36] : lhs_atom81(X34,X35,X36),
    inference(variable_rename,[status(thm)],[c_0_318]) ).

fof(c_0_525,plain,
    ! [X10,X11,X12] : lhs_atom80(X10,X11,X12),
    inference(variable_rename,[status(thm)],[c_0_319]) ).

fof(c_0_526,plain,
    ! [X42,X43,X44] : lhs_atom72(X42,X43,X44),
    inference(variable_rename,[status(thm)],[c_0_320]) ).

fof(c_0_527,plain,
    ! [X11,X12,X13] : lhs_atom53(X11,X12,X13),
    inference(variable_rename,[status(thm)],[c_0_321]) ).

fof(c_0_528,plain,
    ! [X9,X10,X11] : lhs_atom49(X9,X10,X11),
    inference(variable_rename,[status(thm)],[c_0_322]) ).

fof(c_0_529,plain,
    ! [X10,X11,X12] : lhs_atom46(X10,X11,X12),
    inference(variable_rename,[status(thm)],[c_0_323]) ).

fof(c_0_530,plain,
    ! [X29,X30,X31] : lhs_atom41(X29,X30,X31),
    inference(variable_rename,[status(thm)],[c_0_324]) ).

fof(c_0_531,plain,
    ! [X29,X30,X31] : lhs_atom27(X29,X30,X31),
    inference(variable_rename,[status(thm)],[c_0_325]) ).

fof(c_0_532,plain,
    ! [X37,X38,X39] : lhs_atom26(X37,X38,X39),
    inference(variable_rename,[status(thm)],[c_0_326]) ).

fof(c_0_533,plain,
    ! [X10,X11,X12] : lhs_atom23(X10,X11,X12),
    inference(variable_rename,[status(thm)],[c_0_327]) ).

fof(c_0_534,plain,
    ! [X11,X12,X13] : lhs_atom22(X11,X12,X13),
    inference(variable_rename,[status(thm)],[c_0_328]) ).

fof(c_0_535,plain,
    ! [X34,X35,X36] : lhs_atom20(X34,X35,X36),
    inference(variable_rename,[status(thm)],[c_0_329]) ).

fof(c_0_536,plain,
    ! [X29,X30,X31] : lhs_atom19(X29,X30,X31),
    inference(variable_rename,[status(thm)],[c_0_330]) ).

fof(c_0_537,plain,
    ! [X31,X32,X33] : lhs_atom15(X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_331]) ).

fof(c_0_538,plain,
    ! [X11,X12,X13] : lhs_atom10(X11,X12,X13),
    inference(variable_rename,[status(thm)],[c_0_332]) ).

fof(c_0_539,plain,
    ! [X11,X12,X13] : lhs_atom5(X11,X12,X13),
    inference(variable_rename,[status(thm)],[c_0_333]) ).

fof(c_0_540,plain,
    ! [X11,X12,X13] : lhs_atom4(X11,X12,X13),
    inference(variable_rename,[status(thm)],[c_0_334]) ).

fof(c_0_541,plain,
    ! [X9,X10,X11] : lhs_atom3(X9,X10,X11),
    inference(variable_rename,[status(thm)],[c_0_335]) ).

fof(c_0_542,plain,
    ! [X9,X10] : lhs_atom202(X9,X10),
    inference(variable_rename,[status(thm)],[c_0_336]) ).

fof(c_0_543,plain,
    ! [X9,X10] : lhs_atom178(X9,X10),
    inference(variable_rename,[status(thm)],[c_0_337]) ).

fof(c_0_544,plain,
    ! [X9,X10] : lhs_atom172(X9,X10),
    inference(variable_rename,[status(thm)],[c_0_338]) ).

fof(c_0_545,plain,
    ! [X53,X54] : lhs_atom170(X53,X54),
    inference(variable_rename,[status(thm)],[c_0_339]) ).

fof(c_0_546,plain,
    ! [X54,X55] : lhs_atom147(X54,X55),
    inference(variable_rename,[status(thm)],[c_0_340]) ).

fof(c_0_547,plain,
    ! [X34,X35] : lhs_atom142(X34,X35),
    inference(variable_rename,[status(thm)],[c_0_341]) ).

fof(c_0_548,plain,
    ! [X4,X5] : lhs_atom138(X4,X5),
    inference(variable_rename,[status(thm)],[c_0_342]) ).

fof(c_0_549,plain,
    ! [X9,X10] : lhs_atom135(X9,X10),
    inference(variable_rename,[status(thm)],[c_0_343]) ).

fof(c_0_550,plain,
    ! [X9,X10] : lhs_atom133(X9,X10),
    inference(variable_rename,[status(thm)],[c_0_344]) ).

fof(c_0_551,plain,
    ! [X9,X10] : lhs_atom132(X9,X10),
    inference(variable_rename,[status(thm)],[c_0_345]) ).

fof(c_0_552,plain,
    ! [X34,X35] : lhs_atom123(X34,X35),
    inference(variable_rename,[status(thm)],[c_0_346]) ).

fof(c_0_553,plain,
    ! [X9,X10] : lhs_atom120(X9,X10),
    inference(variable_rename,[status(thm)],[c_0_347]) ).

fof(c_0_554,plain,
    ! [X9,X10] : lhs_atom118(X9,X10),
    inference(variable_rename,[status(thm)],[c_0_348]) ).

fof(c_0_555,plain,
    ! [X9,X10] : lhs_atom117(X9,X10),
    inference(variable_rename,[status(thm)],[c_0_349]) ).

fof(c_0_556,plain,
    ! [X50,X51] : lhs_atom116(X50,X51),
    inference(variable_rename,[status(thm)],[c_0_350]) ).

fof(c_0_557,plain,
    ! [X10,X11] : lhs_atom115(X10,X11),
    inference(variable_rename,[status(thm)],[c_0_351]) ).

fof(c_0_558,plain,
    ! [X4,X5] : lhs_atom109(X4,X5),
    inference(variable_rename,[status(thm)],[c_0_352]) ).

fof(c_0_559,plain,
    ! [X49,X50] : lhs_atom105(X49,X50),
    inference(variable_rename,[status(thm)],[c_0_353]) ).

fof(c_0_560,plain,
    ! [X11,X12] : lhs_atom97(X11,X12),
    inference(variable_rename,[status(thm)],[c_0_354]) ).

fof(c_0_561,plain,
    ! [X9,X10] : lhs_atom96(X9,X10),
    inference(variable_rename,[status(thm)],[c_0_355]) ).

fof(c_0_562,plain,
    ! [X11,X12] : lhs_atom95(X11,X12),
    inference(variable_rename,[status(thm)],[c_0_356]) ).

fof(c_0_563,plain,
    ! [X9,X10] : lhs_atom94(X9,X10),
    inference(variable_rename,[status(thm)],[c_0_357]) ).

fof(c_0_564,plain,
    ! [X46,X47] : lhs_atom92(X46,X47),
    inference(variable_rename,[status(thm)],[c_0_358]) ).

fof(c_0_565,plain,
    ! [X9,X10] : lhs_atom87(X9,X10),
    inference(variable_rename,[status(thm)],[c_0_359]) ).

fof(c_0_566,plain,
    ! [X9,X10] : lhs_atom75(X9,X10),
    inference(variable_rename,[status(thm)],[c_0_360]) ).

fof(c_0_567,plain,
    ! [X9,X10] : lhs_atom74(X9,X10),
    inference(variable_rename,[status(thm)],[c_0_361]) ).

fof(c_0_568,plain,
    ! [X9,X10] : lhs_atom71(X9,X10),
    inference(variable_rename,[status(thm)],[c_0_362]) ).

fof(c_0_569,plain,
    ! [X38,X39] : lhs_atom70(X38,X39),
    inference(variable_rename,[status(thm)],[c_0_363]) ).

fof(c_0_570,plain,
    ! [X9,X10] : lhs_atom68(X9,X10),
    inference(variable_rename,[status(thm)],[c_0_364]) ).

fof(c_0_571,plain,
    ! [X9,X10] : lhs_atom60(X9,X10),
    inference(variable_rename,[status(thm)],[c_0_365]) ).

fof(c_0_572,plain,
    ! [X9,X10] : lhs_atom59(X9,X10),
    inference(variable_rename,[status(thm)],[c_0_366]) ).

fof(c_0_573,plain,
    ! [X31,X32] : lhs_atom57(X31,X32),
    inference(variable_rename,[status(thm)],[c_0_367]) ).

fof(c_0_574,plain,
    ! [X30,X31] : lhs_atom56(X30,X31),
    inference(variable_rename,[status(thm)],[c_0_368]) ).

fof(c_0_575,plain,
    ! [X9,X10] : lhs_atom55(X9,X10),
    inference(variable_rename,[status(thm)],[c_0_369]) ).

fof(c_0_576,plain,
    ! [X9,X10] : lhs_atom40(X9,X10),
    inference(variable_rename,[status(thm)],[c_0_370]) ).

fof(c_0_577,plain,
    ! [X38,X39] : lhs_atom34(X38,X39),
    inference(variable_rename,[status(thm)],[c_0_371]) ).

fof(c_0_578,plain,
    ! [X32,X33] : lhs_atom18(X32,X33),
    inference(variable_rename,[status(thm)],[c_0_372]) ).

fof(c_0_579,plain,
    ! [X30,X31] : lhs_atom14(X30,X31),
    inference(variable_rename,[status(thm)],[c_0_373]) ).

fof(c_0_580,plain,
    ! [X23,X24] : lhs_atom13(X23,X24),
    inference(variable_rename,[status(thm)],[c_0_374]) ).

fof(c_0_581,plain,
    ! [X9,X10] : lhs_atom6(X9,X10),
    inference(variable_rename,[status(thm)],[c_0_375]) ).

fof(c_0_582,plain,
    ! [X50] : lhs_atom175(X50),
    inference(variable_rename,[status(thm)],[c_0_376]) ).

fof(c_0_583,plain,
    ! [X48] : lhs_atom171(X48),
    inference(variable_rename,[status(thm)],[c_0_377]) ).

fof(c_0_584,plain,
    ! [X3] : lhs_atom166(X3),
    inference(variable_rename,[status(thm)],[c_0_378]) ).

fof(c_0_585,plain,
    ! [X3] : lhs_atom151(X3),
    inference(variable_rename,[status(thm)],[c_0_379]) ).

fof(c_0_586,plain,
    ! [X49] : lhs_atom131(X49),
    inference(variable_rename,[status(thm)],[c_0_380]) ).

fof(c_0_587,plain,
    ! [X49] : lhs_atom130(X49),
    inference(variable_rename,[status(thm)],[c_0_381]) ).

fof(c_0_588,plain,
    ! [X9] : lhs_atom110(X9),
    inference(variable_rename,[status(thm)],[c_0_382]) ).

fof(c_0_589,plain,
    ! [X40] : lhs_atom107(X40),
    inference(variable_rename,[status(thm)],[c_0_383]) ).

fof(c_0_590,plain,
    ! [X39] : lhs_atom106(X39),
    inference(variable_rename,[status(thm)],[c_0_384]) ).

fof(c_0_591,plain,
    ! [X9] : lhs_atom93(X9),
    inference(variable_rename,[status(thm)],[c_0_385]) ).

fof(c_0_592,plain,
    ! [X9] : lhs_atom73(X9),
    inference(variable_rename,[status(thm)],[c_0_386]) ).

fof(c_0_593,plain,
    ! [X40] : lhs_atom38(X40),
    inference(variable_rename,[status(thm)],[c_0_387]) ).

fof(c_0_594,plain,
    ! [X39] : lhs_atom37(X39),
    inference(variable_rename,[status(thm)],[c_0_388]) ).

fof(c_0_595,plain,
    lhs_atom201,
    c_0_389 ).

fof(c_0_596,plain,
    lhs_atom200,
    c_0_390 ).

fof(c_0_597,plain,
    lhs_atom199,
    c_0_391 ).

fof(c_0_598,plain,
    lhs_atom198,
    c_0_392 ).

fof(c_0_599,plain,
    lhs_atom197,
    c_0_393 ).

fof(c_0_600,plain,
    lhs_atom196,
    c_0_394 ).

fof(c_0_601,plain,
    lhs_atom195,
    c_0_395 ).

fof(c_0_602,plain,
    lhs_atom194,
    c_0_396 ).

fof(c_0_603,plain,
    lhs_atom193,
    c_0_397 ).

fof(c_0_604,plain,
    lhs_atom192,
    c_0_398 ).

fof(c_0_605,plain,
    lhs_atom191,
    c_0_399 ).

fof(c_0_606,plain,
    lhs_atom190,
    c_0_400 ).

fof(c_0_607,plain,
    lhs_atom189,
    c_0_401 ).

fof(c_0_608,plain,
    lhs_atom188,
    c_0_402 ).

fof(c_0_609,plain,
    lhs_atom187,
    c_0_403 ).

fof(c_0_610,plain,
    lhs_atom186,
    c_0_404 ).

fof(c_0_611,plain,
    lhs_atom185,
    c_0_405 ).

fof(c_0_612,plain,
    lhs_atom173,
    c_0_406 ).

fof(c_0_613,plain,
    lhs_atom149,
    c_0_407 ).

fof(c_0_614,plain,
    lhs_atom108,
    c_0_408 ).

fof(c_0_615,plain,
    lhs_atom65,
    c_0_409 ).

fof(c_0_616,plain,
    lhs_atom16,
    c_0_410 ).

fof(c_0_617,plain,
    lhs_atom1,
    c_0_411 ).

cnf(c_0_618,plain,
    lhs_atom136(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12),
    inference(split_conjunct,[status(thm)],[c_0_412]) ).

cnf(c_0_619,plain,
    lhs_atom113(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12),
    inference(split_conjunct,[status(thm)],[c_0_413]) ).

cnf(c_0_620,plain,
    lhs_atom88(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12),
    inference(split_conjunct,[status(thm)],[c_0_414]) ).

cnf(c_0_621,plain,
    lhs_atom79(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12),
    inference(split_conjunct,[status(thm)],[c_0_415]) ).

cnf(c_0_622,plain,
    lhs_atom32(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12),
    inference(split_conjunct,[status(thm)],[c_0_416]) ).

cnf(c_0_623,plain,
    lhs_atom7(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12),
    inference(split_conjunct,[status(thm)],[c_0_417]) ).

cnf(c_0_624,plain,
    lhs_atom114(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11),
    inference(split_conjunct,[status(thm)],[c_0_418]) ).

cnf(c_0_625,plain,
    lhs_atom86(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11),
    inference(split_conjunct,[status(thm)],[c_0_419]) ).

cnf(c_0_626,plain,
    lhs_atom84(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11),
    inference(split_conjunct,[status(thm)],[c_0_420]) ).

cnf(c_0_627,plain,
    lhs_atom76(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11),
    inference(split_conjunct,[status(thm)],[c_0_421]) ).

cnf(c_0_628,plain,
    lhs_atom33(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11),
    inference(split_conjunct,[status(thm)],[c_0_422]) ).

cnf(c_0_629,plain,
    lhs_atom11(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11),
    inference(split_conjunct,[status(thm)],[c_0_423]) ).

cnf(c_0_630,plain,
    lhs_atom165(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10),
    inference(split_conjunct,[status(thm)],[c_0_424]) ).

cnf(c_0_631,plain,
    lhs_atom153(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10),
    inference(split_conjunct,[status(thm)],[c_0_425]) ).

cnf(c_0_632,plain,
    lhs_atom66(X1,X2,X3,X4,X5,X6,X7,X8,X9),
    inference(split_conjunct,[status(thm)],[c_0_426]) ).

cnf(c_0_633,plain,
    lhs_atom30(X1,X2,X3,X4,X5,X6,X7,X8,X9),
    inference(split_conjunct,[status(thm)],[c_0_427]) ).

cnf(c_0_634,plain,
    lhs_atom141(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_428]) ).

cnf(c_0_635,plain,
    lhs_atom121(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_429]) ).

cnf(c_0_636,plain,
    lhs_atom179(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_430]) ).

cnf(c_0_637,plain,
    lhs_atom9(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_431]) ).

cnf(c_0_638,plain,
    lhs_atom180(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_432]) ).

cnf(c_0_639,plain,
    lhs_atom180(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_433]) ).

cnf(c_0_640,plain,
    lhs_atom179(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_434]) ).

cnf(c_0_641,plain,
    lhs_atom177(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_435]) ).

cnf(c_0_642,plain,
    lhs_atom169(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_436]) ).

cnf(c_0_643,plain,
    lhs_atom168(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_437]) ).

cnf(c_0_644,plain,
    lhs_atom140(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_438]) ).

cnf(c_0_645,plain,
    lhs_atom119(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_439]) ).

cnf(c_0_646,plain,
    lhs_atom89(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_440]) ).

cnf(c_0_647,plain,
    lhs_atom78(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_441]) ).

cnf(c_0_648,plain,
    lhs_atom62(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_442]) ).

cnf(c_0_649,plain,
    lhs_atom61(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_443]) ).

cnf(c_0_650,plain,
    lhs_atom58(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_444]) ).

cnf(c_0_651,plain,
    lhs_atom52(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_445]) ).

cnf(c_0_652,plain,
    lhs_atom29(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_446]) ).

cnf(c_0_653,plain,
    lhs_atom28(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_447]) ).

cnf(c_0_654,plain,
    lhs_atom24(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_448]) ).

cnf(c_0_655,plain,
    lhs_atom9(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_449]) ).

cnf(c_0_656,plain,
    lhs_atom176(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_450]) ).

cnf(c_0_657,plain,
    lhs_atom174(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_451]) ).

cnf(c_0_658,plain,
    lhs_atom146(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_452]) ).

cnf(c_0_659,plain,
    lhs_atom137(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_453]) ).

cnf(c_0_660,plain,
    lhs_atom122(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_454]) ).

cnf(c_0_661,plain,
    lhs_atom102(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_455]) ).

cnf(c_0_662,plain,
    lhs_atom90(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_456]) ).

cnf(c_0_663,plain,
    lhs_atom85(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_457]) ).

cnf(c_0_664,plain,
    lhs_atom83(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_458]) ).

cnf(c_0_665,plain,
    lhs_atom82(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_459]) ).

cnf(c_0_666,plain,
    lhs_atom77(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_460]) ).

cnf(c_0_667,plain,
    lhs_atom69(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_461]) ).

cnf(c_0_668,plain,
    lhs_atom67(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_462]) ).

cnf(c_0_669,plain,
    lhs_atom64(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_463]) ).

cnf(c_0_670,plain,
    lhs_atom54(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_464]) ).

cnf(c_0_671,plain,
    lhs_atom51(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_465]) ).

cnf(c_0_672,plain,
    lhs_atom50(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_466]) ).

cnf(c_0_673,plain,
    lhs_atom47(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_467]) ).

cnf(c_0_674,plain,
    lhs_atom45(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_468]) ).

cnf(c_0_675,plain,
    lhs_atom36(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_469]) ).

cnf(c_0_676,plain,
    lhs_atom35(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_470]) ).

cnf(c_0_677,plain,
    lhs_atom25(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_471]) ).

cnf(c_0_678,plain,
    lhs_atom21(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_472]) ).

cnf(c_0_679,plain,
    lhs_atom17(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_473]) ).

cnf(c_0_680,plain,
    lhs_atom2(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_474]) ).

cnf(c_0_681,plain,
    lhs_atom182(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_475]) ).

cnf(c_0_682,plain,
    lhs_atom181(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_476]) ).

cnf(c_0_683,plain,
    lhs_atom167(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_477]) ).

cnf(c_0_684,plain,
    lhs_atom164(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_478]) ).

cnf(c_0_685,plain,
    lhs_atom163(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_479]) ).

cnf(c_0_686,plain,
    lhs_atom160(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_480]) ).

cnf(c_0_687,plain,
    lhs_atom158(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_481]) ).

cnf(c_0_688,plain,
    lhs_atom155(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_482]) ).

cnf(c_0_689,plain,
    lhs_atom154(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_483]) ).

cnf(c_0_690,plain,
    lhs_atom150(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_484]) ).

cnf(c_0_691,plain,
    lhs_atom148(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_485]) ).

cnf(c_0_692,plain,
    lhs_atom145(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_486]) ).

cnf(c_0_693,plain,
    lhs_atom129(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_487]) ).

cnf(c_0_694,plain,
    lhs_atom111(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_488]) ).

cnf(c_0_695,plain,
    lhs_atom103(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_489]) ).

cnf(c_0_696,plain,
    lhs_atom99(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_490]) ).

cnf(c_0_697,plain,
    lhs_atom98(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_491]) ).

cnf(c_0_698,plain,
    lhs_atom63(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_492]) ).

cnf(c_0_699,plain,
    lhs_atom48(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_493]) ).

cnf(c_0_700,plain,
    lhs_atom44(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_494]) ).

cnf(c_0_701,plain,
    lhs_atom43(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_495]) ).

cnf(c_0_702,plain,
    lhs_atom42(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_496]) ).

cnf(c_0_703,plain,
    lhs_atom39(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_497]) ).

cnf(c_0_704,plain,
    lhs_atom31(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_498]) ).

cnf(c_0_705,plain,
    lhs_atom12(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_499]) ).

cnf(c_0_706,plain,
    lhs_atom8(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_500]) ).

cnf(c_0_707,plain,
    lhs_atom184(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_501]) ).

cnf(c_0_708,plain,
    lhs_atom183(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_502]) ).

cnf(c_0_709,plain,
    lhs_atom162(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_503]) ).

cnf(c_0_710,plain,
    lhs_atom161(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_504]) ).

cnf(c_0_711,plain,
    lhs_atom159(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_505]) ).

cnf(c_0_712,plain,
    lhs_atom157(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_506]) ).

cnf(c_0_713,plain,
    lhs_atom156(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_507]) ).

cnf(c_0_714,plain,
    lhs_atom152(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_508]) ).

cnf(c_0_715,plain,
    lhs_atom144(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_509]) ).

cnf(c_0_716,plain,
    lhs_atom143(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_510]) ).

cnf(c_0_717,plain,
    lhs_atom139(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_511]) ).

cnf(c_0_718,plain,
    lhs_atom134(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_512]) ).

cnf(c_0_719,plain,
    lhs_atom128(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_513]) ).

cnf(c_0_720,plain,
    lhs_atom127(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_514]) ).

cnf(c_0_721,plain,
    lhs_atom126(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_515]) ).

cnf(c_0_722,plain,
    lhs_atom125(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_516]) ).

cnf(c_0_723,plain,
    lhs_atom124(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_517]) ).

cnf(c_0_724,plain,
    lhs_atom112(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_518]) ).

cnf(c_0_725,plain,
    lhs_atom104(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_519]) ).

cnf(c_0_726,plain,
    lhs_atom101(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_520]) ).

cnf(c_0_727,plain,
    lhs_atom100(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_521]) ).

cnf(c_0_728,plain,
    lhs_atom91(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_522]) ).

cnf(c_0_729,plain,
    lhs_atom91(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_523]) ).

cnf(c_0_730,plain,
    lhs_atom81(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_524]) ).

cnf(c_0_731,plain,
    lhs_atom80(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_525]) ).

cnf(c_0_732,plain,
    lhs_atom72(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_526]) ).

cnf(c_0_733,plain,
    lhs_atom53(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_527]) ).

cnf(c_0_734,plain,
    lhs_atom49(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_528]) ).

cnf(c_0_735,plain,
    lhs_atom46(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_529]) ).

cnf(c_0_736,plain,
    lhs_atom41(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_530]) ).

cnf(c_0_737,plain,
    lhs_atom27(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_531]) ).

cnf(c_0_738,plain,
    lhs_atom26(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_532]) ).

cnf(c_0_739,plain,
    lhs_atom23(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_533]) ).

cnf(c_0_740,plain,
    lhs_atom22(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_534]) ).

cnf(c_0_741,plain,
    lhs_atom20(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_535]) ).

cnf(c_0_742,plain,
    lhs_atom19(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_536]) ).

cnf(c_0_743,plain,
    lhs_atom15(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_537]) ).

cnf(c_0_744,plain,
    lhs_atom10(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_538]) ).

cnf(c_0_745,plain,
    lhs_atom5(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_539]) ).

cnf(c_0_746,plain,
    lhs_atom4(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_540]) ).

cnf(c_0_747,plain,
    lhs_atom3(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_541]) ).

cnf(c_0_748,plain,
    lhs_atom202(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_542]) ).

cnf(c_0_749,plain,
    lhs_atom178(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_543]) ).

cnf(c_0_750,plain,
    lhs_atom172(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_544]) ).

cnf(c_0_751,plain,
    lhs_atom170(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_545]) ).

cnf(c_0_752,plain,
    lhs_atom147(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_546]) ).

cnf(c_0_753,plain,
    lhs_atom142(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_547]) ).

cnf(c_0_754,plain,
    lhs_atom138(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_548]) ).

cnf(c_0_755,plain,
    lhs_atom135(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_549]) ).

cnf(c_0_756,plain,
    lhs_atom133(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_550]) ).

cnf(c_0_757,plain,
    lhs_atom132(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_551]) ).

cnf(c_0_758,plain,
    lhs_atom123(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_552]) ).

cnf(c_0_759,plain,
    lhs_atom120(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_553]) ).

cnf(c_0_760,plain,
    lhs_atom118(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_554]) ).

cnf(c_0_761,plain,
    lhs_atom117(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_555]) ).

cnf(c_0_762,plain,
    lhs_atom116(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_556]) ).

cnf(c_0_763,plain,
    lhs_atom115(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_557]) ).

cnf(c_0_764,plain,
    lhs_atom109(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_558]) ).

cnf(c_0_765,plain,
    lhs_atom105(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_559]) ).

cnf(c_0_766,plain,
    lhs_atom97(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_560]) ).

cnf(c_0_767,plain,
    lhs_atom96(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_561]) ).

cnf(c_0_768,plain,
    lhs_atom95(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_562]) ).

cnf(c_0_769,plain,
    lhs_atom94(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_563]) ).

cnf(c_0_770,plain,
    lhs_atom92(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_564]) ).

cnf(c_0_771,plain,
    lhs_atom87(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_565]) ).

cnf(c_0_772,plain,
    lhs_atom75(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_566]) ).

cnf(c_0_773,plain,
    lhs_atom74(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_567]) ).

cnf(c_0_774,plain,
    lhs_atom71(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_568]) ).

cnf(c_0_775,plain,
    lhs_atom70(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_569]) ).

cnf(c_0_776,plain,
    lhs_atom68(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_570]) ).

cnf(c_0_777,plain,
    lhs_atom60(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_571]) ).

cnf(c_0_778,plain,
    lhs_atom59(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_572]) ).

cnf(c_0_779,plain,
    lhs_atom57(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_573]) ).

cnf(c_0_780,plain,
    lhs_atom56(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_574]) ).

cnf(c_0_781,plain,
    lhs_atom55(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_575]) ).

cnf(c_0_782,plain,
    lhs_atom40(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_576]) ).

cnf(c_0_783,plain,
    lhs_atom34(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_577]) ).

cnf(c_0_784,plain,
    lhs_atom18(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_578]) ).

cnf(c_0_785,plain,
    lhs_atom14(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_579]) ).

cnf(c_0_786,plain,
    lhs_atom13(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_580]) ).

cnf(c_0_787,plain,
    lhs_atom6(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_581]) ).

cnf(c_0_788,plain,
    lhs_atom175(X1),
    inference(split_conjunct,[status(thm)],[c_0_582]) ).

cnf(c_0_789,plain,
    lhs_atom171(X1),
    inference(split_conjunct,[status(thm)],[c_0_583]) ).

cnf(c_0_790,plain,
    lhs_atom166(X1),
    inference(split_conjunct,[status(thm)],[c_0_584]) ).

cnf(c_0_791,plain,
    lhs_atom151(X1),
    inference(split_conjunct,[status(thm)],[c_0_585]) ).

cnf(c_0_792,plain,
    lhs_atom131(X1),
    inference(split_conjunct,[status(thm)],[c_0_586]) ).

cnf(c_0_793,plain,
    lhs_atom130(X1),
    inference(split_conjunct,[status(thm)],[c_0_587]) ).

cnf(c_0_794,plain,
    lhs_atom110(X1),
    inference(split_conjunct,[status(thm)],[c_0_588]) ).

cnf(c_0_795,plain,
    lhs_atom107(X1),
    inference(split_conjunct,[status(thm)],[c_0_589]) ).

cnf(c_0_796,plain,
    lhs_atom106(X1),
    inference(split_conjunct,[status(thm)],[c_0_590]) ).

cnf(c_0_797,plain,
    lhs_atom93(X1),
    inference(split_conjunct,[status(thm)],[c_0_591]) ).

cnf(c_0_798,plain,
    lhs_atom73(X1),
    inference(split_conjunct,[status(thm)],[c_0_592]) ).

cnf(c_0_799,plain,
    lhs_atom38(X1),
    inference(split_conjunct,[status(thm)],[c_0_593]) ).

cnf(c_0_800,plain,
    lhs_atom37(X1),
    inference(split_conjunct,[status(thm)],[c_0_594]) ).

cnf(c_0_801,plain,
    lhs_atom201,
    inference(split_conjunct,[status(thm)],[c_0_595]) ).

cnf(c_0_802,plain,
    lhs_atom200,
    inference(split_conjunct,[status(thm)],[c_0_596]) ).

cnf(c_0_803,plain,
    lhs_atom199,
    inference(split_conjunct,[status(thm)],[c_0_597]) ).

cnf(c_0_804,plain,
    lhs_atom198,
    inference(split_conjunct,[status(thm)],[c_0_598]) ).

cnf(c_0_805,plain,
    lhs_atom197,
    inference(split_conjunct,[status(thm)],[c_0_599]) ).

cnf(c_0_806,plain,
    lhs_atom196,
    inference(split_conjunct,[status(thm)],[c_0_600]) ).

cnf(c_0_807,plain,
    lhs_atom195,
    inference(split_conjunct,[status(thm)],[c_0_601]) ).

cnf(c_0_808,plain,
    lhs_atom194,
    inference(split_conjunct,[status(thm)],[c_0_602]) ).

cnf(c_0_809,plain,
    lhs_atom193,
    inference(split_conjunct,[status(thm)],[c_0_603]) ).

cnf(c_0_810,plain,
    lhs_atom192,
    inference(split_conjunct,[status(thm)],[c_0_604]) ).

cnf(c_0_811,plain,
    lhs_atom191,
    inference(split_conjunct,[status(thm)],[c_0_605]) ).

cnf(c_0_812,plain,
    lhs_atom190,
    inference(split_conjunct,[status(thm)],[c_0_606]) ).

cnf(c_0_813,plain,
    lhs_atom189,
    inference(split_conjunct,[status(thm)],[c_0_607]) ).

cnf(c_0_814,plain,
    lhs_atom188,
    inference(split_conjunct,[status(thm)],[c_0_608]) ).

cnf(c_0_815,plain,
    lhs_atom187,
    inference(split_conjunct,[status(thm)],[c_0_609]) ).

cnf(c_0_816,plain,
    lhs_atom186,
    inference(split_conjunct,[status(thm)],[c_0_610]) ).

cnf(c_0_817,plain,
    lhs_atom185,
    inference(split_conjunct,[status(thm)],[c_0_611]) ).

cnf(c_0_818,plain,
    lhs_atom173,
    inference(split_conjunct,[status(thm)],[c_0_612]) ).

cnf(c_0_819,plain,
    lhs_atom149,
    inference(split_conjunct,[status(thm)],[c_0_613]) ).

cnf(c_0_820,plain,
    lhs_atom108,
    inference(split_conjunct,[status(thm)],[c_0_614]) ).

cnf(c_0_821,plain,
    lhs_atom65,
    inference(split_conjunct,[status(thm)],[c_0_615]) ).

cnf(c_0_822,plain,
    lhs_atom16,
    inference(split_conjunct,[status(thm)],[c_0_616]) ).

cnf(c_0_823,plain,
    lhs_atom1,
    inference(split_conjunct,[status(thm)],[c_0_617]) ).

cnf(c_0_824,plain,
    lhs_atom136(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12),
    c_0_618,
    [final] ).

cnf(c_0_825,plain,
    lhs_atom113(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12),
    c_0_619,
    [final] ).

cnf(c_0_826,plain,
    lhs_atom88(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12),
    c_0_620,
    [final] ).

cnf(c_0_827,plain,
    lhs_atom79(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12),
    c_0_621,
    [final] ).

cnf(c_0_828,plain,
    lhs_atom32(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12),
    c_0_622,
    [final] ).

cnf(c_0_829,plain,
    lhs_atom7(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12),
    c_0_623,
    [final] ).

cnf(c_0_830,plain,
    lhs_atom114(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11),
    c_0_624,
    [final] ).

cnf(c_0_831,plain,
    lhs_atom86(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11),
    c_0_625,
    [final] ).

cnf(c_0_832,plain,
    lhs_atom84(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11),
    c_0_626,
    [final] ).

cnf(c_0_833,plain,
    lhs_atom76(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11),
    c_0_627,
    [final] ).

cnf(c_0_834,plain,
    lhs_atom33(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11),
    c_0_628,
    [final] ).

cnf(c_0_835,plain,
    lhs_atom11(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11),
    c_0_629,
    [final] ).

cnf(c_0_836,plain,
    lhs_atom165(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10),
    c_0_630,
    [final] ).

cnf(c_0_837,plain,
    lhs_atom153(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10),
    c_0_631,
    [final] ).

cnf(c_0_838,plain,
    lhs_atom66(X1,X2,X3,X4,X5,X6,X7,X8,X9),
    c_0_632,
    [final] ).

cnf(c_0_839,plain,
    lhs_atom30(X1,X2,X3,X4,X5,X6,X7,X8,X9),
    c_0_633,
    [final] ).

cnf(c_0_840,plain,
    lhs_atom141(X1,X2,X3,X4,X5,X6,X7),
    c_0_634,
    [final] ).

cnf(c_0_841,plain,
    lhs_atom121(X1,X2,X3,X4,X5,X6,X7),
    c_0_635,
    [final] ).

cnf(c_0_842,plain,
    lhs_atom179(X1,X2,X3,X4,X5,X6),
    c_0_636,
    [final] ).

cnf(c_0_843,plain,
    lhs_atom9(X1,X2,X3,X4,X5,X6),
    c_0_637,
    [final] ).

cnf(c_0_844,plain,
    lhs_atom180(X1,X2,X3,X4,X5,X6),
    c_0_638,
    [final] ).

cnf(c_0_845,plain,
    lhs_atom180(X1,X2,X3,X4,X5,X6),
    c_0_639,
    [final] ).

cnf(c_0_846,plain,
    lhs_atom179(X1,X2,X3,X4,X5,X6),
    c_0_640,
    [final] ).

cnf(c_0_847,plain,
    lhs_atom177(X1,X2,X3,X4,X5,X6),
    c_0_641,
    [final] ).

cnf(c_0_848,plain,
    lhs_atom169(X1,X2,X3,X4,X5,X6),
    c_0_642,
    [final] ).

cnf(c_0_849,plain,
    lhs_atom168(X1,X2,X3,X4,X5,X6),
    c_0_643,
    [final] ).

cnf(c_0_850,plain,
    lhs_atom140(X1,X2,X3,X4,X5,X6),
    c_0_644,
    [final] ).

cnf(c_0_851,plain,
    lhs_atom119(X1,X2,X3,X4,X5,X6),
    c_0_645,
    [final] ).

cnf(c_0_852,plain,
    lhs_atom89(X1,X2,X3,X4,X5,X6),
    c_0_646,
    [final] ).

cnf(c_0_853,plain,
    lhs_atom78(X1,X2,X3,X4,X5,X6),
    c_0_647,
    [final] ).

cnf(c_0_854,plain,
    lhs_atom62(X1,X2,X3,X4,X5,X6),
    c_0_648,
    [final] ).

cnf(c_0_855,plain,
    lhs_atom61(X1,X2,X3,X4,X5,X6),
    c_0_649,
    [final] ).

cnf(c_0_856,plain,
    lhs_atom58(X1,X2,X3,X4,X5,X6),
    c_0_650,
    [final] ).

cnf(c_0_857,plain,
    lhs_atom52(X1,X2,X3,X4,X5,X6),
    c_0_651,
    [final] ).

cnf(c_0_858,plain,
    lhs_atom29(X1,X2,X3,X4,X5,X6),
    c_0_652,
    [final] ).

cnf(c_0_859,plain,
    lhs_atom28(X1,X2,X3,X4,X5,X6),
    c_0_653,
    [final] ).

cnf(c_0_860,plain,
    lhs_atom24(X1,X2,X3,X4,X5,X6),
    c_0_654,
    [final] ).

cnf(c_0_861,plain,
    lhs_atom9(X1,X2,X3,X4,X5,X6),
    c_0_655,
    [final] ).

cnf(c_0_862,plain,
    lhs_atom176(X1,X2,X3,X4,X5),
    c_0_656,
    [final] ).

cnf(c_0_863,plain,
    lhs_atom174(X1,X2,X3,X4,X5),
    c_0_657,
    [final] ).

cnf(c_0_864,plain,
    lhs_atom146(X1,X2,X3,X4,X5),
    c_0_658,
    [final] ).

cnf(c_0_865,plain,
    lhs_atom137(X1,X2,X3,X4,X5),
    c_0_659,
    [final] ).

cnf(c_0_866,plain,
    lhs_atom122(X1,X2,X3,X4,X5),
    c_0_660,
    [final] ).

cnf(c_0_867,plain,
    lhs_atom102(X1,X2,X3,X4,X5),
    c_0_661,
    [final] ).

cnf(c_0_868,plain,
    lhs_atom90(X1,X2,X3,X4,X5),
    c_0_662,
    [final] ).

cnf(c_0_869,plain,
    lhs_atom85(X1,X2,X3,X4,X5),
    c_0_663,
    [final] ).

cnf(c_0_870,plain,
    lhs_atom83(X1,X2,X3,X4,X5),
    c_0_664,
    [final] ).

cnf(c_0_871,plain,
    lhs_atom82(X1,X2,X3,X4,X5),
    c_0_665,
    [final] ).

cnf(c_0_872,plain,
    lhs_atom77(X1,X2,X3,X4,X5),
    c_0_666,
    [final] ).

cnf(c_0_873,plain,
    lhs_atom69(X1,X2,X3,X4,X5),
    c_0_667,
    [final] ).

cnf(c_0_874,plain,
    lhs_atom67(X1,X2,X3,X4,X5),
    c_0_668,
    [final] ).

cnf(c_0_875,plain,
    lhs_atom64(X1,X2,X3,X4,X5),
    c_0_669,
    [final] ).

cnf(c_0_876,plain,
    lhs_atom54(X1,X2,X3,X4,X5),
    c_0_670,
    [final] ).

cnf(c_0_877,plain,
    lhs_atom51(X1,X2,X3,X4,X5),
    c_0_671,
    [final] ).

cnf(c_0_878,plain,
    lhs_atom50(X1,X2,X3,X4,X5),
    c_0_672,
    [final] ).

cnf(c_0_879,plain,
    lhs_atom47(X1,X2,X3,X4,X5),
    c_0_673,
    [final] ).

cnf(c_0_880,plain,
    lhs_atom45(X1,X2,X3,X4,X5),
    c_0_674,
    [final] ).

cnf(c_0_881,plain,
    lhs_atom36(X1,X2,X3,X4,X5),
    c_0_675,
    [final] ).

cnf(c_0_882,plain,
    lhs_atom35(X1,X2,X3,X4,X5),
    c_0_676,
    [final] ).

cnf(c_0_883,plain,
    lhs_atom25(X1,X2,X3,X4,X5),
    c_0_677,
    [final] ).

cnf(c_0_884,plain,
    lhs_atom21(X1,X2,X3,X4,X5),
    c_0_678,
    [final] ).

cnf(c_0_885,plain,
    lhs_atom17(X1,X2,X3,X4,X5),
    c_0_679,
    [final] ).

cnf(c_0_886,plain,
    lhs_atom2(X1,X2,X3,X4,X5),
    c_0_680,
    [final] ).

cnf(c_0_887,plain,
    lhs_atom182(X1,X2,X3,X4),
    c_0_681,
    [final] ).

cnf(c_0_888,plain,
    lhs_atom181(X1,X2,X3,X4),
    c_0_682,
    [final] ).

cnf(c_0_889,plain,
    lhs_atom167(X1,X2,X3,X4),
    c_0_683,
    [final] ).

cnf(c_0_890,plain,
    lhs_atom164(X1,X2,X3,X4),
    c_0_684,
    [final] ).

cnf(c_0_891,plain,
    lhs_atom163(X1,X2,X3,X4),
    c_0_685,
    [final] ).

cnf(c_0_892,plain,
    lhs_atom160(X1,X2,X3,X4),
    c_0_686,
    [final] ).

cnf(c_0_893,plain,
    lhs_atom158(X1,X2,X3,X4),
    c_0_687,
    [final] ).

cnf(c_0_894,plain,
    lhs_atom155(X1,X2,X3,X4),
    c_0_688,
    [final] ).

cnf(c_0_895,plain,
    lhs_atom154(X1,X2,X3,X4),
    c_0_689,
    [final] ).

cnf(c_0_896,plain,
    lhs_atom150(X1,X2,X3,X4),
    c_0_690,
    [final] ).

cnf(c_0_897,plain,
    lhs_atom148(X1,X2,X3,X4),
    c_0_691,
    [final] ).

cnf(c_0_898,plain,
    lhs_atom145(X1,X2,X3,X4),
    c_0_692,
    [final] ).

cnf(c_0_899,plain,
    lhs_atom129(X1,X2,X3,X4),
    c_0_693,
    [final] ).

cnf(c_0_900,plain,
    lhs_atom111(X1,X2,X3,X4),
    c_0_694,
    [final] ).

cnf(c_0_901,plain,
    lhs_atom103(X1,X2,X3,X4),
    c_0_695,
    [final] ).

cnf(c_0_902,plain,
    lhs_atom99(X1,X2,X3,X4),
    c_0_696,
    [final] ).

cnf(c_0_903,plain,
    lhs_atom98(X1,X2,X3,X4),
    c_0_697,
    [final] ).

cnf(c_0_904,plain,
    lhs_atom63(X1,X2,X3,X4),
    c_0_698,
    [final] ).

cnf(c_0_905,plain,
    lhs_atom48(X1,X2,X3,X4),
    c_0_699,
    [final] ).

cnf(c_0_906,plain,
    lhs_atom44(X1,X2,X3,X4),
    c_0_700,
    [final] ).

cnf(c_0_907,plain,
    lhs_atom43(X1,X2,X3,X4),
    c_0_701,
    [final] ).

cnf(c_0_908,plain,
    lhs_atom42(X1,X2,X3,X4),
    c_0_702,
    [final] ).

cnf(c_0_909,plain,
    lhs_atom39(X1,X2,X3,X4),
    c_0_703,
    [final] ).

cnf(c_0_910,plain,
    lhs_atom31(X1,X2,X3,X4),
    c_0_704,
    [final] ).

cnf(c_0_911,plain,
    lhs_atom12(X1,X2,X3,X4),
    c_0_705,
    [final] ).

cnf(c_0_912,plain,
    lhs_atom8(X1,X2,X3,X4),
    c_0_706,
    [final] ).

cnf(c_0_913,plain,
    lhs_atom184(X1,X2,X3),
    c_0_707,
    [final] ).

cnf(c_0_914,plain,
    lhs_atom183(X1,X2,X3),
    c_0_708,
    [final] ).

cnf(c_0_915,plain,
    lhs_atom162(X1,X2,X3),
    c_0_709,
    [final] ).

cnf(c_0_916,plain,
    lhs_atom161(X1,X2,X3),
    c_0_710,
    [final] ).

cnf(c_0_917,plain,
    lhs_atom159(X1,X2,X3),
    c_0_711,
    [final] ).

cnf(c_0_918,plain,
    lhs_atom157(X1,X2,X3),
    c_0_712,
    [final] ).

cnf(c_0_919,plain,
    lhs_atom156(X1,X2,X3),
    c_0_713,
    [final] ).

cnf(c_0_920,plain,
    lhs_atom152(X1,X2,X3),
    c_0_714,
    [final] ).

cnf(c_0_921,plain,
    lhs_atom144(X1,X2,X3),
    c_0_715,
    [final] ).

cnf(c_0_922,plain,
    lhs_atom143(X1,X2,X3),
    c_0_716,
    [final] ).

cnf(c_0_923,plain,
    lhs_atom139(X1,X2,X3),
    c_0_717,
    [final] ).

cnf(c_0_924,plain,
    lhs_atom134(X1,X2,X3),
    c_0_718,
    [final] ).

cnf(c_0_925,plain,
    lhs_atom128(X1,X2,X3),
    c_0_719,
    [final] ).

cnf(c_0_926,plain,
    lhs_atom127(X1,X2,X3),
    c_0_720,
    [final] ).

cnf(c_0_927,plain,
    lhs_atom126(X1,X2,X3),
    c_0_721,
    [final] ).

cnf(c_0_928,plain,
    lhs_atom125(X1,X2,X3),
    c_0_722,
    [final] ).

cnf(c_0_929,plain,
    lhs_atom124(X1,X2,X3),
    c_0_723,
    [final] ).

cnf(c_0_930,plain,
    lhs_atom112(X1,X2,X3),
    c_0_724,
    [final] ).

cnf(c_0_931,plain,
    lhs_atom104(X1,X2,X3),
    c_0_725,
    [final] ).

cnf(c_0_932,plain,
    lhs_atom101(X1,X2,X3),
    c_0_726,
    [final] ).

cnf(c_0_933,plain,
    lhs_atom100(X1,X2,X3),
    c_0_727,
    [final] ).

cnf(c_0_934,plain,
    lhs_atom91(X1,X2,X3),
    c_0_728,
    [final] ).

cnf(c_0_935,plain,
    lhs_atom91(X1,X2,X3),
    c_0_729,
    [final] ).

cnf(c_0_936,plain,
    lhs_atom81(X1,X2,X3),
    c_0_730,
    [final] ).

cnf(c_0_937,plain,
    lhs_atom80(X1,X2,X3),
    c_0_731,
    [final] ).

cnf(c_0_938,plain,
    lhs_atom72(X1,X2,X3),
    c_0_732,
    [final] ).

cnf(c_0_939,plain,
    lhs_atom53(X1,X2,X3),
    c_0_733,
    [final] ).

cnf(c_0_940,plain,
    lhs_atom49(X1,X2,X3),
    c_0_734,
    [final] ).

cnf(c_0_941,plain,
    lhs_atom46(X1,X2,X3),
    c_0_735,
    [final] ).

cnf(c_0_942,plain,
    lhs_atom41(X1,X2,X3),
    c_0_736,
    [final] ).

cnf(c_0_943,plain,
    lhs_atom27(X1,X2,X3),
    c_0_737,
    [final] ).

cnf(c_0_944,plain,
    lhs_atom26(X1,X2,X3),
    c_0_738,
    [final] ).

cnf(c_0_945,plain,
    lhs_atom23(X1,X2,X3),
    c_0_739,
    [final] ).

cnf(c_0_946,plain,
    lhs_atom22(X1,X2,X3),
    c_0_740,
    [final] ).

cnf(c_0_947,plain,
    lhs_atom20(X1,X2,X3),
    c_0_741,
    [final] ).

cnf(c_0_948,plain,
    lhs_atom19(X1,X2,X3),
    c_0_742,
    [final] ).

cnf(c_0_949,plain,
    lhs_atom15(X1,X2,X3),
    c_0_743,
    [final] ).

cnf(c_0_950,plain,
    lhs_atom10(X1,X2,X3),
    c_0_744,
    [final] ).

cnf(c_0_951,plain,
    lhs_atom5(X1,X2,X3),
    c_0_745,
    [final] ).

cnf(c_0_952,plain,
    lhs_atom4(X1,X2,X3),
    c_0_746,
    [final] ).

cnf(c_0_953,plain,
    lhs_atom3(X1,X2,X3),
    c_0_747,
    [final] ).

cnf(c_0_954,plain,
    lhs_atom202(X1,X2),
    c_0_748,
    [final] ).

cnf(c_0_955,plain,
    lhs_atom178(X1,X2),
    c_0_749,
    [final] ).

cnf(c_0_956,plain,
    lhs_atom172(X1,X2),
    c_0_750,
    [final] ).

cnf(c_0_957,plain,
    lhs_atom170(X1,X2),
    c_0_751,
    [final] ).

cnf(c_0_958,plain,
    lhs_atom147(X1,X2),
    c_0_752,
    [final] ).

cnf(c_0_959,plain,
    lhs_atom142(X1,X2),
    c_0_753,
    [final] ).

cnf(c_0_960,plain,
    lhs_atom138(X1,X2),
    c_0_754,
    [final] ).

cnf(c_0_961,plain,
    lhs_atom135(X1,X2),
    c_0_755,
    [final] ).

cnf(c_0_962,plain,
    lhs_atom133(X1,X2),
    c_0_756,
    [final] ).

cnf(c_0_963,plain,
    lhs_atom132(X1,X2),
    c_0_757,
    [final] ).

cnf(c_0_964,plain,
    lhs_atom123(X1,X2),
    c_0_758,
    [final] ).

cnf(c_0_965,plain,
    lhs_atom120(X1,X2),
    c_0_759,
    [final] ).

cnf(c_0_966,plain,
    lhs_atom118(X1,X2),
    c_0_760,
    [final] ).

cnf(c_0_967,plain,
    lhs_atom117(X1,X2),
    c_0_761,
    [final] ).

cnf(c_0_968,plain,
    lhs_atom116(X1,X2),
    c_0_762,
    [final] ).

cnf(c_0_969,plain,
    lhs_atom115(X1,X2),
    c_0_763,
    [final] ).

cnf(c_0_970,plain,
    lhs_atom109(X1,X2),
    c_0_764,
    [final] ).

cnf(c_0_971,plain,
    lhs_atom105(X1,X2),
    c_0_765,
    [final] ).

cnf(c_0_972,plain,
    lhs_atom97(X1,X2),
    c_0_766,
    [final] ).

cnf(c_0_973,plain,
    lhs_atom96(X1,X2),
    c_0_767,
    [final] ).

cnf(c_0_974,plain,
    lhs_atom95(X1,X2),
    c_0_768,
    [final] ).

cnf(c_0_975,plain,
    lhs_atom94(X1,X2),
    c_0_769,
    [final] ).

cnf(c_0_976,plain,
    lhs_atom92(X1,X2),
    c_0_770,
    [final] ).

cnf(c_0_977,plain,
    lhs_atom87(X1,X2),
    c_0_771,
    [final] ).

cnf(c_0_978,plain,
    lhs_atom75(X1,X2),
    c_0_772,
    [final] ).

cnf(c_0_979,plain,
    lhs_atom74(X1,X2),
    c_0_773,
    [final] ).

cnf(c_0_980,plain,
    lhs_atom71(X1,X2),
    c_0_774,
    [final] ).

cnf(c_0_981,plain,
    lhs_atom70(X1,X2),
    c_0_775,
    [final] ).

cnf(c_0_982,plain,
    lhs_atom68(X1,X2),
    c_0_776,
    [final] ).

cnf(c_0_983,plain,
    lhs_atom60(X1,X2),
    c_0_777,
    [final] ).

cnf(c_0_984,plain,
    lhs_atom59(X1,X2),
    c_0_778,
    [final] ).

cnf(c_0_985,plain,
    lhs_atom57(X1,X2),
    c_0_779,
    [final] ).

cnf(c_0_986,plain,
    lhs_atom56(X1,X2),
    c_0_780,
    [final] ).

cnf(c_0_987,plain,
    lhs_atom55(X1,X2),
    c_0_781,
    [final] ).

cnf(c_0_988,plain,
    lhs_atom40(X1,X2),
    c_0_782,
    [final] ).

cnf(c_0_989,plain,
    lhs_atom34(X1,X2),
    c_0_783,
    [final] ).

cnf(c_0_990,plain,
    lhs_atom18(X1,X2),
    c_0_784,
    [final] ).

cnf(c_0_991,plain,
    lhs_atom14(X1,X2),
    c_0_785,
    [final] ).

cnf(c_0_992,plain,
    lhs_atom13(X1,X2),
    c_0_786,
    [final] ).

cnf(c_0_993,plain,
    lhs_atom6(X1,X2),
    c_0_787,
    [final] ).

cnf(c_0_994,plain,
    lhs_atom175(X1),
    c_0_788,
    [final] ).

cnf(c_0_995,plain,
    lhs_atom171(X1),
    c_0_789,
    [final] ).

cnf(c_0_996,plain,
    lhs_atom166(X1),
    c_0_790,
    [final] ).

cnf(c_0_997,plain,
    lhs_atom151(X1),
    c_0_791,
    [final] ).

cnf(c_0_998,plain,
    lhs_atom131(X1),
    c_0_792,
    [final] ).

cnf(c_0_999,plain,
    lhs_atom130(X1),
    c_0_793,
    [final] ).

cnf(c_0_1000,plain,
    lhs_atom110(X1),
    c_0_794,
    [final] ).

cnf(c_0_1001,plain,
    lhs_atom107(X1),
    c_0_795,
    [final] ).

cnf(c_0_1002,plain,
    lhs_atom106(X1),
    c_0_796,
    [final] ).

cnf(c_0_1003,plain,
    lhs_atom93(X1),
    c_0_797,
    [final] ).

cnf(c_0_1004,plain,
    lhs_atom73(X1),
    c_0_798,
    [final] ).

cnf(c_0_1005,plain,
    lhs_atom38(X1),
    c_0_799,
    [final] ).

cnf(c_0_1006,plain,
    lhs_atom37(X1),
    c_0_800,
    [final] ).

cnf(c_0_1007,plain,
    lhs_atom201,
    c_0_801,
    [final] ).

cnf(c_0_1008,plain,
    lhs_atom200,
    c_0_802,
    [final] ).

cnf(c_0_1009,plain,
    lhs_atom199,
    c_0_803,
    [final] ).

cnf(c_0_1010,plain,
    lhs_atom198,
    c_0_804,
    [final] ).

cnf(c_0_1011,plain,
    lhs_atom197,
    c_0_805,
    [final] ).

cnf(c_0_1012,plain,
    lhs_atom196,
    c_0_806,
    [final] ).

cnf(c_0_1013,plain,
    lhs_atom195,
    c_0_807,
    [final] ).

cnf(c_0_1014,plain,
    lhs_atom194,
    c_0_808,
    [final] ).

cnf(c_0_1015,plain,
    lhs_atom193,
    c_0_809,
    [final] ).

cnf(c_0_1016,plain,
    lhs_atom192,
    c_0_810,
    [final] ).

cnf(c_0_1017,plain,
    lhs_atom191,
    c_0_811,
    [final] ).

cnf(c_0_1018,plain,
    lhs_atom190,
    c_0_812,
    [final] ).

cnf(c_0_1019,plain,
    lhs_atom189,
    c_0_813,
    [final] ).

cnf(c_0_1020,plain,
    lhs_atom188,
    c_0_814,
    [final] ).

cnf(c_0_1021,plain,
    lhs_atom187,
    c_0_815,
    [final] ).

cnf(c_0_1022,plain,
    lhs_atom186,
    c_0_816,
    [final] ).

cnf(c_0_1023,plain,
    lhs_atom185,
    c_0_817,
    [final] ).

cnf(c_0_1024,plain,
    lhs_atom173,
    c_0_818,
    [final] ).

cnf(c_0_1025,plain,
    lhs_atom149,
    c_0_819,
    [final] ).

cnf(c_0_1026,plain,
    lhs_atom108,
    c_0_820,
    [final] ).

cnf(c_0_1027,plain,
    lhs_atom65,
    c_0_821,
    [final] ).

cnf(c_0_1028,plain,
    lhs_atom16,
    c_0_822,
    [final] ).

cnf(c_0_1029,plain,
    lhs_atom1,
    c_0_823,
    [final] ).

% End CNF derivation
cnf(c_0_824_0,axiom,
    c_Com_Ocom_Ocom__case(X9,X8,X7,X6,X5,X4,X3,X2,c_Com_Ocom_OCond(X1,X11,X10),X12) = hAPP(hAPP(hAPP(X5,X1),X11),X10),
    inference(unfold_definition,[status(thm)],[c_0_824,def_lhs_atom136]) ).

cnf(c_0_825_0,axiom,
    c_Com_Ocom_Ocom__case(X10,X9,X8,X7,X6,X5,X4,X3,c_Com_Ocom_OLocal(X1,X2,X11),X12) = hAPP(hAPP(hAPP(X8,X1),X2),X11),
    inference(unfold_definition,[status(thm)],[c_0_825,def_lhs_atom113]) ).

cnf(c_0_826_0,axiom,
    c_Com_Ocom_Ocom__rec(X9,X8,X7,X6,X5,X4,X3,X2,c_Com_Ocom_OCond(X1,X11,X10),X12) = hAPP(hAPP(hAPP(hAPP(hAPP(X5,X1),X11),X10),c_Com_Ocom_Ocom__rec(X9,X8,X7,X6,X5,X4,X3,X2,X11,X12)),c_Com_Ocom_Ocom__rec(X9,X8,X7,X6,X5,X4,X3,X2,X10,X12)),
    inference(unfold_definition,[status(thm)],[c_0_826,def_lhs_atom88]) ).

cnf(c_0_827_0,axiom,
    c_Com_Ocom_Ocom__rec(X11,X10,X9,X8,X7,X6,X5,X4,c_Com_Ocom_OCall(X1,X2,X3),X12) = hAPP(hAPP(hAPP(X4,X1),X2),X3),
    inference(unfold_definition,[status(thm)],[c_0_827,def_lhs_atom79]) ).

cnf(c_0_828_0,axiom,
    c_Com_Ocom_Ocom__rec(X10,X9,X8,X7,X6,X5,X4,X3,c_Com_Ocom_OLocal(X1,X2,X11),X12) = hAPP(hAPP(hAPP(hAPP(X8,X1),X2),X11),c_Com_Ocom_Ocom__rec(X10,X9,X8,X7,X6,X5,X4,X3,X11,X12)),
    inference(unfold_definition,[status(thm)],[c_0_828,def_lhs_atom32]) ).

cnf(c_0_829_0,axiom,
    c_Com_Ocom_Ocom__case(X11,X10,X9,X8,X7,X6,X5,X4,c_Com_Ocom_OCall(X1,X2,X3),X12) = hAPP(hAPP(hAPP(X4,X1),X2),X3),
    inference(unfold_definition,[status(thm)],[c_0_829,def_lhs_atom7]) ).

cnf(c_0_830_0,axiom,
    c_Com_Ocom_Ocom__case(X9,X8,X7,X6,X5,X4,X3,X2,c_Com_Ocom_OWhile(X1,X10),X11) = hAPP(hAPP(X4,X1),X10),
    inference(unfold_definition,[status(thm)],[c_0_830,def_lhs_atom114]) ).

cnf(c_0_831_0,axiom,
    c_Com_Ocom_Ocom__rec(X9,X8,X7,X6,X5,X4,X3,X2,c_Com_Ocom_OWhile(X1,X10),X11) = hAPP(hAPP(hAPP(X4,X1),X10),c_Com_Ocom_Ocom__rec(X9,X8,X7,X6,X5,X4,X3,X2,X10,X11)),
    inference(unfold_definition,[status(thm)],[c_0_831,def_lhs_atom86]) ).

cnf(c_0_832_0,axiom,
    c_Com_Ocom_Ocom__rec(X10,X9,X8,X7,X6,X5,X4,X3,c_Com_Ocom_OAss(X1,X2),X11) = hAPP(hAPP(X9,X1),X2),
    inference(unfold_definition,[status(thm)],[c_0_832,def_lhs_atom84]) ).

cnf(c_0_833_0,axiom,
    c_Com_Ocom_Ocom__case(X8,X7,X6,X5,X4,X3,X2,X1,c_Com_Ocom_OSemi(X10,X9),X11) = hAPP(hAPP(X5,X10),X9),
    inference(unfold_definition,[status(thm)],[c_0_833,def_lhs_atom76]) ).

cnf(c_0_834_0,axiom,
    c_Com_Ocom_Ocom__rec(X8,X7,X6,X5,X4,X3,X2,X1,c_Com_Ocom_OSemi(X10,X9),X11) = hAPP(hAPP(hAPP(hAPP(X5,X10),X9),c_Com_Ocom_Ocom__rec(X8,X7,X6,X5,X4,X3,X2,X1,X10,X11)),c_Com_Ocom_Ocom__rec(X8,X7,X6,X5,X4,X3,X2,X1,X9,X11)),
    inference(unfold_definition,[status(thm)],[c_0_834,def_lhs_atom33]) ).

cnf(c_0_835_0,axiom,
    c_Com_Ocom_Ocom__case(X10,X9,X8,X7,X6,X5,X4,X3,c_Com_Ocom_OAss(X1,X2),X11) = hAPP(hAPP(X9,X1),X2),
    inference(unfold_definition,[status(thm)],[c_0_835,def_lhs_atom11]) ).

cnf(c_0_836_0,axiom,
    c_Com_Ocom_Ocom__case(X9,X8,X7,X6,X5,X4,X3,X2,hAPP(c_Com_Ocom_OBODY,X1),X10) = hAPP(X3,X1),
    inference(unfold_definition,[status(thm)],[c_0_836,def_lhs_atom165]) ).

cnf(c_0_837_0,axiom,
    c_Com_Ocom_Ocom__rec(X9,X8,X7,X6,X5,X4,X3,X2,hAPP(c_Com_Ocom_OBODY,X1),X10) = hAPP(X3,X1),
    inference(unfold_definition,[status(thm)],[c_0_837,def_lhs_atom153]) ).

cnf(c_0_838_0,axiom,
    c_Com_Ocom_Ocom__case(X8,X7,X6,X5,X4,X3,X2,X1,c_Com_Ocom_OSKIP,X9) = X8,
    inference(unfold_definition,[status(thm)],[c_0_838,def_lhs_atom66]) ).

cnf(c_0_839_0,axiom,
    c_Com_Ocom_Ocom__rec(X8,X7,X6,X5,X4,X3,X2,X1,c_Com_Ocom_OSKIP,X9) = X8,
    inference(unfold_definition,[status(thm)],[c_0_839,def_lhs_atom30]) ).

cnf(c_0_840_0,axiom,
    c_Fun_Ofcomp(c_Fun_Ofcomp(X3,X2,X7,X4,X5),X1,X7,X5,X6) = c_Fun_Ofcomp(X3,c_Fun_Ofcomp(X2,X1,X4,X5,X6),X7,X4,X6),
    inference(unfold_definition,[status(thm)],[c_0_840,def_lhs_atom141]) ).

cnf(c_0_841_0,axiom,
    c_Fun_Ocomp(X3,c_Fun_Ocomp(X2,X1,X4,X5,X7),X5,X6,X7) = c_Fun_Ocomp(c_Fun_Ocomp(X3,X2,X5,X6,X4),X1,X4,X6,X7),
    inference(unfold_definition,[status(thm)],[c_0_841,def_lhs_atom121]) ).

cnf(c_0_842_0,axiom,
    hAPP(c_COMBB(X3,X2,X5,X6,X4),X1) = hAPP(X3,hAPP(X2,X1)),
    inference(unfold_definition,[status(thm)],[c_0_842,def_lhs_atom179]) ).

cnf(c_0_843_0,axiom,
    hAPP(c_COMBC(X3,X2,X5,X4,X6),X1) = hAPP(hAPP(X3,X1),X2),
    inference(unfold_definition,[status(thm)],[c_0_843,def_lhs_atom9]) ).

cnf(c_0_844_0,axiom,
    hAPP(c_COMBS(X3,X2,X5,X4,X6),X1) = hAPP(hAPP(X3,X1),hAPP(X2,X1)),
    inference(unfold_definition,[status(thm)],[c_0_844,def_lhs_atom180]) ).

cnf(c_0_845_0,axiom,
    hAPP(c_COMBS(X3,X2,X5,X4,X6),X1) = hAPP(hAPP(X3,X1),hAPP(X2,X1)),
    inference(unfold_definition,[status(thm)],[c_0_845,def_lhs_atom180]) ).

cnf(c_0_846_0,axiom,
    hAPP(c_COMBB(X3,X2,X5,X6,X4),X1) = hAPP(X3,hAPP(X2,X1)),
    inference(unfold_definition,[status(thm)],[c_0_846,def_lhs_atom179]) ).

cnf(c_0_847_0,axiom,
    c_Set_Oimage(X2,c_Set_Oimage(X1,X3,X4,X5),X5,X6) = c_Set_Oimage(c_COMBB(X2,X1,X5,X6,X4),X3,X4,X6),
    inference(unfold_definition,[status(thm)],[c_0_847,def_lhs_atom177]) ).

cnf(c_0_848_0,axiom,
    c_Hoare__Mirabelle_Otriple_Otriple__case(X3,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X5),X2),X4),X1),X5,X6) = hAPP(hAPP(hAPP(X3,X2),X4),X1),
    inference(unfold_definition,[status(thm)],[c_0_848,def_lhs_atom169]) ).

cnf(c_0_849_0,axiom,
    c_Hoare__Mirabelle_Otriple_Otriple__rec(X3,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X5),X2),X4),X1),X5,X6) = hAPP(hAPP(hAPP(X3,X2),X4),X1),
    inference(unfold_definition,[status(thm)],[c_0_849,def_lhs_atom168]) ).

cnf(c_0_850_0,axiom,
    c_Com_Ocom_OLocal(X3,X5,X6) != c_Com_Ocom_OCall(X1,X2,X4),
    inference(unfold_definition,[status(thm)],[c_0_850,def_lhs_atom140]) ).

cnf(c_0_851_0,axiom,
    hAPP(c_Fun_Ofcomp(X3,X2,X5,X4,X6),X1) = hAPP(X2,hAPP(X3,X1)),
    inference(unfold_definition,[status(thm)],[c_0_851,def_lhs_atom119]) ).

cnf(c_0_852_0,axiom,
    c_Set_Oimage(c_Fun_Ocomp(X3,X2,X4,X6,X5),X1,X5,X6) = c_Set_Oimage(X3,c_Set_Oimage(X2,X1,X5,X4),X4,X6),
    inference(unfold_definition,[status(thm)],[c_0_852,def_lhs_atom89]) ).

cnf(c_0_853_0,axiom,
    c_Set_Ovimage(c_Fun_Ocomp(X2,X3,X4,X5,X6),X1,X6,X5) = c_Set_Ovimage(X3,c_Set_Ovimage(X2,X1,X4,X5),X6,X4),
    inference(unfold_definition,[status(thm)],[c_0_853,def_lhs_atom78]) ).

cnf(c_0_854_0,axiom,
    hAPP(c_Fun_Ocomp(X3,X2,X4,X5,X6),X1) = hAPP(X3,hAPP(X2,X1)),
    inference(unfold_definition,[status(thm)],[c_0_854,def_lhs_atom62]) ).

cnf(c_0_855_0,axiom,
    hAPP(c_Fun_Ocomp(X3,X2,X5,X6,X4),X1) = hAPP(X3,hAPP(X2,X1)),
    inference(unfold_definition,[status(thm)],[c_0_855,def_lhs_atom61]) ).

cnf(c_0_856_0,axiom,
    c_Com_Ocom_OCall(X1,X2,X3) != c_Com_Ocom_OCond(X4,X6,X5),
    inference(unfold_definition,[status(thm)],[c_0_856,def_lhs_atom58]) ).

cnf(c_0_857_0,axiom,
    c_Com_Ocom_OCond(X2,X5,X4) != c_Com_Ocom_OLocal(X1,X3,X6),
    inference(unfold_definition,[status(thm)],[c_0_857,def_lhs_atom52]) ).

cnf(c_0_858_0,axiom,
    c_Com_Ocom_OLocal(X1,X3,X6) != c_Com_Ocom_OCond(X2,X5,X4),
    inference(unfold_definition,[status(thm)],[c_0_858,def_lhs_atom29]) ).

cnf(c_0_859_0,axiom,
    c_Com_Ocom_OCond(X4,X6,X5) != c_Com_Ocom_OCall(X1,X2,X3),
    inference(unfold_definition,[status(thm)],[c_0_859,def_lhs_atom28]) ).

cnf(c_0_860_0,axiom,
    c_Com_Ocom_OCall(X1,X2,X4) != c_Com_Ocom_OLocal(X3,X5,X6),
    inference(unfold_definition,[status(thm)],[c_0_860,def_lhs_atom24]) ).

cnf(c_0_861_0,axiom,
    hAPP(c_COMBC(X3,X2,X5,X4,X6),X1) = hAPP(hAPP(X3,X1),X2),
    inference(unfold_definition,[status(thm)],[c_0_861,def_lhs_atom9]) ).

cnf(c_0_862_0,axiom,
    c_Set_Oimage(X1,c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(X4,tc_bool)),X4,X5) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(X1,X3,X4,X5),c_Set_Oimage(X1,X2,X4,X5),tc_fun(X5,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_862,def_lhs_atom176]) ).

cnf(c_0_863_0,axiom,
    c_Set_Oimage(c_COMBB(X2,X1,X3,X5,X4),c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5) = c_Set_Oimage(X2,c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X3),X3,X5),
    inference(unfold_definition,[status(thm)],[c_0_863,def_lhs_atom174]) ).

cnf(c_0_864_0,axiom,
    c_Set_Ovimage(X1,c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(X4,tc_bool)),X5,X4) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(X1,X3,X5,X4),c_Set_Ovimage(X1,X2,X5,X4),tc_fun(X5,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_864,def_lhs_atom146]) ).

cnf(c_0_865_0,axiom,
    c_Set_Ovimage(X1,c_Set_Oinsert(X2,X3,X4),X5,X4) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X5,X4),c_Set_Ovimage(X1,X3,X5,X4),tc_fun(X5,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_865,def_lhs_atom137]) ).

cnf(c_0_866_0,axiom,
    c_Com_Ocom_OCall(X1,X3,X4) != c_Com_Ocom_OAss(X2,X5),
    inference(unfold_definition,[status(thm)],[c_0_866,def_lhs_atom122]) ).

cnf(c_0_867_0,axiom,
    c_Com_Ocom_OWhile(X4,X5) != c_Com_Ocom_OCall(X1,X2,X3),
    inference(unfold_definition,[status(thm)],[c_0_867,def_lhs_atom102]) ).

cnf(c_0_868_0,axiom,
    c_Set_Oimage(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) = c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5),
    inference(unfold_definition,[status(thm)],[c_0_868,def_lhs_atom90]) ).

cnf(c_0_869_0,axiom,
    c_Com_Ocom_OCond(X2,X5,X4) != c_Com_Ocom_OAss(X1,X3),
    inference(unfold_definition,[status(thm)],[c_0_869,def_lhs_atom85]) ).

cnf(c_0_870_0,axiom,
    c_Com_Ocom_OSemi(X5,X4) != c_Com_Ocom_OCall(X1,X2,X3),
    inference(unfold_definition,[status(thm)],[c_0_870,def_lhs_atom83]) ).

cnf(c_0_871_0,axiom,
    c_Com_Ocom_OWhile(X1,X3) != c_Com_Ocom_OCond(X2,X5,X4),
    inference(unfold_definition,[status(thm)],[c_0_871,def_lhs_atom82]) ).

cnf(c_0_872_0,axiom,
    c_Com_Ocom_OLocal(X1,X2,X5) != c_Com_Ocom_OSemi(X4,X3),
    inference(unfold_definition,[status(thm)],[c_0_872,def_lhs_atom77]) ).

cnf(c_0_873_0,axiom,
    c_Com_Ocom_OAss(X1,X3) != c_Com_Ocom_OCond(X2,X5,X4),
    inference(unfold_definition,[status(thm)],[c_0_873,def_lhs_atom69]) ).

cnf(c_0_874_0,axiom,
    c_Com_Ocom_OLocal(X1,X3,X5) != c_Com_Ocom_OWhile(X2,X4),
    inference(unfold_definition,[status(thm)],[c_0_874,def_lhs_atom67]) ).

cnf(c_0_875_0,axiom,
    c_Com_Ocom_OAss(X1,X4) != c_Com_Ocom_OLocal(X2,X3,X5),
    inference(unfold_definition,[status(thm)],[c_0_875,def_lhs_atom64]) ).

cnf(c_0_876_0,axiom,
    c_Com_Ocom_OCond(X1,X4,X2) != c_Com_Ocom_OSemi(X5,X3),
    inference(unfold_definition,[status(thm)],[c_0_876,def_lhs_atom54]) ).

cnf(c_0_877_0,axiom,
    c_Com_Ocom_OCond(X2,X5,X4) != c_Com_Ocom_OWhile(X1,X3),
    inference(unfold_definition,[status(thm)],[c_0_877,def_lhs_atom51]) ).

cnf(c_0_878_0,axiom,
    c_Com_Ocom_OLocal(X2,X3,X5) != c_Com_Ocom_OAss(X1,X4),
    inference(unfold_definition,[status(thm)],[c_0_878,def_lhs_atom50]) ).

cnf(c_0_879_0,axiom,
    c_Com_Ocom_OSemi(X4,X3) != c_Com_Ocom_OLocal(X1,X2,X5),
    inference(unfold_definition,[status(thm)],[c_0_879,def_lhs_atom47]) ).

cnf(c_0_880_0,axiom,
    c_Com_Ocom_OSemi(X5,X3) != c_Com_Ocom_OCond(X1,X4,X2),
    inference(unfold_definition,[status(thm)],[c_0_880,def_lhs_atom45]) ).

cnf(c_0_881_0,axiom,
    c_Set_Ovimage(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X4,tc_bool)),X5,X4) = c_HOL_Ominus__class_Ominus(c_Set_Ovimage(X1,X3,X5,X4),c_Set_Ovimage(X1,X2,X5,X4),tc_fun(X5,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_881,def_lhs_atom36]) ).

cnf(c_0_882_0,axiom,
    c_Com_Ocom_OWhile(X2,X4) != c_Com_Ocom_OLocal(X1,X3,X5),
    inference(unfold_definition,[status(thm)],[c_0_882,def_lhs_atom35]) ).

cnf(c_0_883_0,axiom,
    c_Com_Ocom_OCall(X1,X2,X3) != c_Com_Ocom_OWhile(X4,X5),
    inference(unfold_definition,[status(thm)],[c_0_883,def_lhs_atom25]) ).

cnf(c_0_884_0,axiom,
    c_Com_Ocom_OAss(X2,X5) != c_Com_Ocom_OCall(X1,X3,X4),
    inference(unfold_definition,[status(thm)],[c_0_884,def_lhs_atom21]) ).

cnf(c_0_885_0,axiom,
    c_lessequals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X3,X4,X5),c_Set_Oimage(X1,X2,X4,X5),tc_fun(X5,tc_bool)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X4,tc_bool)),X4,X5),tc_fun(X5,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_885,def_lhs_atom17]) ).

cnf(c_0_886_0,axiom,
    c_Com_Ocom_OCall(X1,X2,X3) != c_Com_Ocom_OSemi(X5,X4),
    inference(unfold_definition,[status(thm)],[c_0_886,def_lhs_atom2]) ).

cnf(c_0_887_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(X4,tc_bool)),X1,tc_fun(X4,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_887,def_lhs_atom182]) ).

cnf(c_0_888_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_888,def_lhs_atom181]) ).

cnf(c_0_889_0,axiom,
    c_Hoare__Mirabelle_Otriple__valid(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X4),X3),hAPP(c_Com_Ocom_OBODY,X1)),X2),X4),
    inference(unfold_definition,[status(thm)],[c_0_889,def_lhs_atom167]) ).

cnf(c_0_890_0,axiom,
    hAPP(c_Com_Ocom_OBODY,X3) != c_Com_Ocom_OCall(X1,X2,X4),
    inference(unfold_definition,[status(thm)],[c_0_890,def_lhs_atom164]) ).

cnf(c_0_891_0,axiom,
    c_Com_Ocom_OLocal(X2,X3,X4) != hAPP(c_Com_Ocom_OBODY,X1),
    inference(unfold_definition,[status(thm)],[c_0_891,def_lhs_atom163]) ).

cnf(c_0_892_0,axiom,
    c_Com_Ocom_OCall(X1,X2,X4) != hAPP(c_Com_Ocom_OBODY,X3),
    inference(unfold_definition,[status(thm)],[c_0_892,def_lhs_atom160]) ).

cnf(c_0_893_0,axiom,
    hAPP(c_Com_Ocom_OBODY,X1) != c_Com_Ocom_OLocal(X2,X3,X4),
    inference(unfold_definition,[status(thm)],[c_0_893,def_lhs_atom158]) ).

cnf(c_0_894_0,axiom,
    c_Com_Ocom_OCond(X2,X4,X3) != hAPP(c_Com_Ocom_OBODY,X1),
    inference(unfold_definition,[status(thm)],[c_0_894,def_lhs_atom155]) ).

cnf(c_0_895_0,axiom,
    hAPP(c_Com_Ocom_OBODY,X1) != c_Com_Ocom_OCond(X2,X4,X3),
    inference(unfold_definition,[status(thm)],[c_0_895,def_lhs_atom154]) ).

cnf(c_0_896_0,axiom,
    hAPP(c_Fun_Ofcomp(X2,X1,t_a,X3,X4),v_x) = hAPP(X1,hAPP(X2,v_x)),
    inference(unfold_definition,[status(thm)],[c_0_896,def_lhs_atom150]) ).

cnf(c_0_897_0,axiom,
    hAPP(c_Fun_Ocomp(X2,X1,X3,X4,t_a),v_x) = hAPP(X2,hAPP(X1,v_x)),
    inference(unfold_definition,[status(thm)],[c_0_897,def_lhs_atom148]) ).

cnf(c_0_898_0,axiom,
    c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(X4,tc_bool)),X1,tc_fun(X4,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X3,X1,tc_fun(X4,tc_bool)),c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_898,def_lhs_atom145]) ).

cnf(c_0_899_0,axiom,
    c_Com_Ocom_OWhile(X1,X2) != c_Com_Ocom_OSemi(X4,X3),
    inference(unfold_definition,[status(thm)],[c_0_899,def_lhs_atom129]) ).

cnf(c_0_900_0,axiom,
    c_Com_Ocom_OWhile(X2,X4) != c_Com_Ocom_OAss(X1,X3),
    inference(unfold_definition,[status(thm)],[c_0_900,def_lhs_atom111]) ).

cnf(c_0_901_0,axiom,
    c_Com_Ocom_OSemi(X4,X3) != c_Com_Ocom_OAss(X1,X2),
    inference(unfold_definition,[status(thm)],[c_0_901,def_lhs_atom103]) ).

cnf(c_0_902_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X1,X3,X4),X2,tc_fun(X4,tc_bool)) = c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(X4,tc_bool)),X4),
    inference(unfold_definition,[status(thm)],[c_0_902,def_lhs_atom99]) ).

cnf(c_0_903_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(X3,c_Set_Oinsert(X1,X2,X4),tc_fun(X4,tc_bool)) = c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(X4,tc_bool)),X4),
    inference(unfold_definition,[status(thm)],[c_0_903,def_lhs_atom98]) ).

cnf(c_0_904_0,axiom,
    c_Com_Ocom_OAss(X1,X3) != c_Com_Ocom_OWhile(X2,X4),
    inference(unfold_definition,[status(thm)],[c_0_904,def_lhs_atom63]) ).

cnf(c_0_905_0,axiom,
    hBOOL(hAPP(hAPP(c_in(X3),X2),c_Set_Ovimage(X1,c_Set_Oinsert(hAPP(X1,X2),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X3,X4))),
    inference(unfold_definition,[status(thm)],[c_0_905,def_lhs_atom48]) ).

cnf(c_0_906_0,axiom,
    c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X1,X2,X4),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X2,tc_fun(X4,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_906,def_lhs_atom44]) ).

cnf(c_0_907_0,axiom,
    c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X1,X2,X4),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X4,tc_bool)),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_907,def_lhs_atom43]) ).

cnf(c_0_908_0,axiom,
    c_Com_Ocom_OSemi(X4,X3) != c_Com_Ocom_OWhile(X1,X2),
    inference(unfold_definition,[status(thm)],[c_0_908,def_lhs_atom42]) ).

cnf(c_0_909_0,axiom,
    c_lessequals(c_Set_Oimage(X1,c_Set_Ovimage(X1,X2,X3,X4),X3,X4),X2,tc_fun(X4,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_909,def_lhs_atom39]) ).

cnf(c_0_910_0,axiom,
    c_Com_Ocom_OAss(X1,X2) != c_Com_Ocom_OSemi(X4,X3),
    inference(unfold_definition,[status(thm)],[c_0_910,def_lhs_atom31]) ).

cnf(c_0_911_0,axiom,
    hBOOL(hAPP(hAPP(c_in(X4),hAPP(X2,X1)),c_Set_Oimage(X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4))),
    inference(unfold_definition,[status(thm)],[c_0_911,def_lhs_atom12]) ).

cnf(c_0_912_0,axiom,
    c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4) = c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4),
    inference(unfold_definition,[status(thm)],[c_0_912,def_lhs_atom8]) ).

cnf(c_0_913_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_913,def_lhs_atom184]) ).

cnf(c_0_914_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_914,def_lhs_atom183]) ).

cnf(c_0_915_0,axiom,
    c_Com_Ocom_OSemi(X3,X2) != hAPP(c_Com_Ocom_OBODY,X1),
    inference(unfold_definition,[status(thm)],[c_0_915,def_lhs_atom162]) ).

cnf(c_0_916_0,axiom,
    hAPP(c_Com_Ocom_OBODY,X1) != c_Com_Ocom_OSemi(X3,X2),
    inference(unfold_definition,[status(thm)],[c_0_916,def_lhs_atom161]) ).

cnf(c_0_917_0,axiom,
    hAPP(c_Com_Ocom_OBODY,X1) != c_Com_Ocom_OWhile(X2,X3),
    inference(unfold_definition,[status(thm)],[c_0_917,def_lhs_atom159]) ).

cnf(c_0_918_0,axiom,
    c_Com_Ocom_OAss(X1,X3) != hAPP(c_Com_Ocom_OBODY,X2),
    inference(unfold_definition,[status(thm)],[c_0_918,def_lhs_atom157]) ).

cnf(c_0_919_0,axiom,
    hAPP(c_Com_Ocom_OBODY,X2) != c_Com_Ocom_OAss(X1,X3),
    inference(unfold_definition,[status(thm)],[c_0_919,def_lhs_atom156]) ).

cnf(c_0_920_0,axiom,
    c_Com_Ocom_OWhile(X2,X3) != hAPP(c_Com_Ocom_OBODY,X1),
    inference(unfold_definition,[status(thm)],[c_0_920,def_lhs_atom152]) ).

cnf(c_0_921_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(X2,c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_921,def_lhs_atom144]) ).

cnf(c_0_922_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_922,def_lhs_atom143]) ).

cnf(c_0_923_0,axiom,
    c_Set_Ovimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_923,def_lhs_atom139]) ).

cnf(c_0_924_0,axiom,
    c_Com_Ocom_OCall(X1,X2,X3) != c_Com_Ocom_OSKIP,
    inference(unfold_definition,[status(thm)],[c_0_924,def_lhs_atom134]) ).

cnf(c_0_925_0,axiom,
    c_Fun_Ofcomp(c_Fun_Oid(X3),X1,X3,X3,X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_925,def_lhs_atom128]) ).

cnf(c_0_926_0,axiom,
    c_Fun_Ofcomp(X1,c_Fun_Oid(X2),X3,X2,X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_926,def_lhs_atom127]) ).

cnf(c_0_927_0,axiom,
    c_Com_Ocom_OSKIP != c_Com_Ocom_OCall(X1,X2,X3),
    inference(unfold_definition,[status(thm)],[c_0_927,def_lhs_atom126]) ).

cnf(c_0_928_0,axiom,
    hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
    inference(unfold_definition,[status(thm)],[c_0_928,def_lhs_atom125]) ).

cnf(c_0_929_0,axiom,
    c_Hoare__Mirabelle_Ohoare__derivs(X2,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X1),c_Com_Ocom_OSKIP),X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)),tc_Hoare__Mirabelle_Otriple(X3)),X3),
    inference(unfold_definition,[status(thm)],[c_0_929,def_lhs_atom124]) ).

cnf(c_0_930_0,axiom,
    c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) != c_Set_Oinsert(X1,X2,X3),
    inference(unfold_definition,[status(thm)],[c_0_930,def_lhs_atom112]) ).

cnf(c_0_931_0,axiom,
    c_Com_Ocom_OLocal(X1,X2,X3) != c_Com_Ocom_OSKIP,
    inference(unfold_definition,[status(thm)],[c_0_931,def_lhs_atom104]) ).

cnf(c_0_932_0,axiom,
    c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_932,def_lhs_atom101]) ).

cnf(c_0_933_0,axiom,
    c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_933,def_lhs_atom100]) ).

cnf(c_0_934_0,axiom,
    c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_934,def_lhs_atom91]) ).

cnf(c_0_935_0,axiom,
    c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_935,def_lhs_atom91]) ).

cnf(c_0_936_0,axiom,
    c_Com_Ocom_OCond(X1,X3,X2) != c_Com_Ocom_OSKIP,
    inference(unfold_definition,[status(thm)],[c_0_936,def_lhs_atom81]) ).

cnf(c_0_937_0,axiom,
    c_Set_Oinsert(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X2,tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_937,def_lhs_atom80]) ).

cnf(c_0_938_0,axiom,
    c_Com_Ocom_OSKIP != c_Com_Ocom_OLocal(X1,X2,X3),
    inference(unfold_definition,[status(thm)],[c_0_938,def_lhs_atom72]) ).

cnf(c_0_939_0,axiom,
    c_lessequals(X2,c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_939,def_lhs_atom53]) ).

cnf(c_0_940_0,axiom,
    c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3) = c_Set_Oinsert(X1,X2,X3),
    inference(unfold_definition,[status(thm)],[c_0_940,def_lhs_atom49]) ).

cnf(c_0_941_0,axiom,
    c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_941,def_lhs_atom46]) ).

cnf(c_0_942_0,axiom,
    c_Set_Ovimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X3,X2) = c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_942,def_lhs_atom41]) ).

cnf(c_0_943_0,axiom,
    c_Fun_Ocomp(X1,c_Fun_Oid(X3),X3,X2,X3) = X1,
    inference(unfold_definition,[status(thm)],[c_0_943,def_lhs_atom27]) ).

cnf(c_0_944_0,axiom,
    c_Fun_Ocomp(c_Fun_Oid(X2),X1,X2,X2,X3) = X1,
    inference(unfold_definition,[status(thm)],[c_0_944,def_lhs_atom26]) ).

cnf(c_0_945_0,axiom,
    c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = c_Set_Oinsert(X1,X2,X3),
    inference(unfold_definition,[status(thm)],[c_0_945,def_lhs_atom23]) ).

cnf(c_0_946_0,axiom,
    c_lessequals(c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_946,def_lhs_atom22]) ).

cnf(c_0_947_0,axiom,
    c_Com_Ocom_OSKIP != c_Com_Ocom_OCond(X1,X3,X2),
    inference(unfold_definition,[status(thm)],[c_0_947,def_lhs_atom20]) ).

cnf(c_0_948_0,axiom,
    c_Fun_Oinj__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X2),
    inference(unfold_definition,[status(thm)],[c_0_948,def_lhs_atom19]) ).

cnf(c_0_949_0,axiom,
    c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) = c_Set_Oinsert(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3),
    inference(unfold_definition,[status(thm)],[c_0_949,def_lhs_atom15]) ).

cnf(c_0_950_0,axiom,
    c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_950,def_lhs_atom10]) ).

cnf(c_0_951_0,axiom,
    hBOOL(hAPP(hAPP(c_in(X3),X1),c_Set_Oinsert(X1,X2,X3))),
    inference(unfold_definition,[status(thm)],[c_0_951,def_lhs_atom5]) ).

cnf(c_0_952_0,axiom,
    hBOOL(hAPP(hAPP(c_in(X3),X1),c_Set_Oinsert(X1,X2,X3))),
    inference(unfold_definition,[status(thm)],[c_0_952,def_lhs_atom4]) ).

cnf(c_0_953_0,axiom,
    hBOOL(hAPP(hAPP(c_in(X3),X1),c_Set_Oinsert(X1,X2,X3))),
    inference(unfold_definition,[status(thm)],[c_0_953,def_lhs_atom3]) ).

cnf(c_0_954_0,axiom,
    hBOOL(hAPP(hAPP(c_fequal(X2),X1),X1)),
    inference(unfold_definition,[status(thm)],[c_0_954,def_lhs_atom202]) ).

cnf(c_0_955_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool)) = X1,
    inference(unfold_definition,[status(thm)],[c_0_955,def_lhs_atom178]) ).

cnf(c_0_956_0,axiom,
    hAPP(c_Option_Othe(X2),c_Option_Ooption_OSome(X1,X2)) = X1,
    inference(unfold_definition,[status(thm)],[c_0_956,def_lhs_atom172]) ).

cnf(c_0_957_0,axiom,
    c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),X2),
    inference(unfold_definition,[status(thm)],[c_0_957,def_lhs_atom170]) ).

cnf(c_0_958_0,axiom,
    hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_COMBC(c_in(t_a),X2,t_a,tc_fun(t_a,tc_bool),tc_bool),c_COMBC(c_in(t_a),X1,t_a,tc_fun(t_a,tc_bool),tc_bool),tc_fun(t_a,tc_bool)),v_x) = hAPP(hAPP(c_in(t_a),v_x),c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(t_a,tc_bool))),
    inference(unfold_definition,[status(thm)],[c_0_958,def_lhs_atom147]) ).

cnf(c_0_959_0,axiom,
    c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(X2,X1),
    inference(unfold_definition,[status(thm)],[c_0_959,def_lhs_atom142]) ).

cnf(c_0_960_0,axiom,
    c_Com_Ocom_OAss(X1,X2) != c_Com_Ocom_OSKIP,
    inference(unfold_definition,[status(thm)],[c_0_960,def_lhs_atom138]) ).

cnf(c_0_961_0,axiom,
    hBOOL(hAPP(hAPP(c_in(X2),X1),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2))),
    inference(unfold_definition,[status(thm)],[c_0_961,def_lhs_atom135]) ).

cnf(c_0_962_0,axiom,
    c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_962,def_lhs_atom133]) ).

cnf(c_0_963_0,axiom,
    c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_963,def_lhs_atom132]) ).

cnf(c_0_964_0,axiom,
    c_Com_Ocom_OSemi(X2,X1) != c_Com_Ocom_OSKIP,
    inference(unfold_definition,[status(thm)],[c_0_964,def_lhs_atom123]) ).

cnf(c_0_965_0,axiom,
    c_lessequals(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_965,def_lhs_atom120]) ).

cnf(c_0_966_0,axiom,
    c_HOL_Ominus__class_Ominus(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_966,def_lhs_atom118]) ).

cnf(c_0_967_0,axiom,
    ~ hBOOL(hAPP(hAPP(c_in(X2),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))),
    inference(unfold_definition,[status(thm)],[c_0_967,def_lhs_atom117]) ).

cnf(c_0_968_0,axiom,
    ~ hBOOL(hAPP(hAPP(c_in(X2),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))),
    inference(unfold_definition,[status(thm)],[c_0_968,def_lhs_atom116]) ).

cnf(c_0_969_0,axiom,
    ~ hBOOL(hAPP(hAPP(c_in(X2),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))),
    inference(unfold_definition,[status(thm)],[c_0_969,def_lhs_atom115]) ).

cnf(c_0_970_0,axiom,
    c_Com_Ocom_OSKIP != c_Com_Ocom_OAss(X1,X2),
    inference(unfold_definition,[status(thm)],[c_0_970,def_lhs_atom109]) ).

cnf(c_0_971_0,axiom,
    c_Natural_Oevaln(c_Com_Ocom_OSKIP,X1,X2,X1),
    inference(unfold_definition,[status(thm)],[c_0_971,def_lhs_atom105]) ).

cnf(c_0_972_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,tc_fun(X2,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_972,def_lhs_atom97]) ).

cnf(c_0_973_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_973,def_lhs_atom96]) ).

cnf(c_0_974_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X1,tc_fun(X2,tc_bool)) = X1,
    inference(unfold_definition,[status(thm)],[c_0_974,def_lhs_atom95]) ).

cnf(c_0_975_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
    inference(unfold_definition,[status(thm)],[c_0_975,def_lhs_atom94]) ).

cnf(c_0_976_0,axiom,
    c_Set_Oimage(c_Fun_Oid(X2),X1,X2,X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_976,def_lhs_atom92]) ).

cnf(c_0_977_0,axiom,
    hAPP(c_Fun_Oid(X2),X1) = X1,
    inference(unfold_definition,[status(thm)],[c_0_977,def_lhs_atom87]) ).

cnf(c_0_978_0,axiom,
    c_Set_Ovimage(c_Fun_Oid(X2),X1,X2,X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_978,def_lhs_atom75]) ).

cnf(c_0_979_0,axiom,
    hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1)),
    inference(unfold_definition,[status(thm)],[c_0_979,def_lhs_atom74]) ).

cnf(c_0_980_0,axiom,
    ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X1)),
    inference(unfold_definition,[status(thm)],[c_0_980,def_lhs_atom71]) ).

cnf(c_0_981_0,axiom,
    c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(X1,X2),
    inference(unfold_definition,[status(thm)],[c_0_981,def_lhs_atom70]) ).

cnf(c_0_982_0,axiom,
    c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X1,tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_982,def_lhs_atom68]) ).

cnf(c_0_983_0,axiom,
    c_HOL_Ominus__class_Ominus(X1,X1,tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_983,def_lhs_atom60]) ).

cnf(c_0_984_0,axiom,
    c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
    inference(unfold_definition,[status(thm)],[c_0_984,def_lhs_atom59]) ).

cnf(c_0_985_0,axiom,
    c_Option_Ooption_OSome(X1,X2) != c_Option_Ooption_ONone(X2),
    inference(unfold_definition,[status(thm)],[c_0_985,def_lhs_atom57]) ).

cnf(c_0_986_0,axiom,
    c_Option_Ooption_OSome(X1,X2) != c_Option_Ooption_ONone(X2),
    inference(unfold_definition,[status(thm)],[c_0_986,def_lhs_atom56]) ).

cnf(c_0_987_0,axiom,
    hBOOL(hAPP(hAPP(c_in(X2),X1),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)))),
    inference(unfold_definition,[status(thm)],[c_0_987,def_lhs_atom55]) ).

cnf(c_0_988_0,axiom,
    c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X1,tc_fun(X2,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_988,def_lhs_atom40]) ).

cnf(c_0_989_0,axiom,
    c_Com_Ocom_OWhile(X1,X2) != c_Com_Ocom_OSKIP,
    inference(unfold_definition,[status(thm)],[c_0_989,def_lhs_atom34]) ).

cnf(c_0_990_0,axiom,
    c_Com_OWT(c_Com_Ocom_OAss(X2,X1)),
    inference(unfold_definition,[status(thm)],[c_0_990,def_lhs_atom18]) ).

cnf(c_0_991_0,axiom,
    c_Option_Ooption_ONone(X2) != c_Option_Ooption_OSome(X1,X2),
    inference(unfold_definition,[status(thm)],[c_0_991,def_lhs_atom14]) ).

cnf(c_0_992_0,axiom,
    c_Option_Ooption_ONone(X2) != c_Option_Ooption_OSome(X1,X2),
    inference(unfold_definition,[status(thm)],[c_0_992,def_lhs_atom13]) ).

cnf(c_0_993_0,axiom,
    c_Fun_Oinj__on(c_Fun_Oid(X2),X1,X2,X2),
    inference(unfold_definition,[status(thm)],[c_0_993,def_lhs_atom6]) ).

cnf(c_0_994_0,axiom,
    c_Hoare__Mirabelle_OMGT(X1) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal(tc_Com_Ostate)),X1),hAPP(c_Natural_Oevalc,X1)),
    inference(unfold_definition,[status(thm)],[c_0_994,def_lhs_atom175]) ).

cnf(c_0_995_0,axiom,
    hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OSKIP),X1),X1)),
    inference(unfold_definition,[status(thm)],[c_0_995,def_lhs_atom171]) ).

cnf(c_0_996_0,axiom,
    c_Com_Ocom_OSKIP != hAPP(c_Com_Ocom_OBODY,X1),
    inference(unfold_definition,[status(thm)],[c_0_996,def_lhs_atom166]) ).

cnf(c_0_997_0,axiom,
    hAPP(c_Com_Ocom_OBODY,X1) != c_Com_Ocom_OSKIP,
    inference(unfold_definition,[status(thm)],[c_0_997,def_lhs_atom151]) ).

cnf(c_0_998_0,axiom,
    X1 != c_Suc(X1),
    inference(unfold_definition,[status(thm)],[c_0_998,def_lhs_atom131]) ).

cnf(c_0_999_0,axiom,
    c_Suc(X1) != X1,
    inference(unfold_definition,[status(thm)],[c_0_999,def_lhs_atom130]) ).

cnf(c_0_1000_0,axiom,
    c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1000,def_lhs_atom110]) ).

cnf(c_0_1001_0,axiom,
    c_Suc(X1) != c_HOL_Ozero__class_Ozero(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_1001,def_lhs_atom107]) ).

cnf(c_0_1002_0,axiom,
    c_Suc(X1) != c_HOL_Ozero__class_Ozero(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_1002,def_lhs_atom106]) ).

cnf(c_0_1003_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1003,def_lhs_atom93]) ).

cnf(c_0_1004_0,axiom,
    c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_1004,def_lhs_atom73]) ).

cnf(c_0_1005_0,axiom,
    c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X1),
    inference(unfold_definition,[status(thm)],[c_0_1005,def_lhs_atom38]) ).

cnf(c_0_1006_0,axiom,
    c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X1),
    inference(unfold_definition,[status(thm)],[c_0_1006,def_lhs_atom37]) ).

cnf(c_0_1007_0,axiom,
    class_HOL_Oord(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_1007,def_lhs_atom201]) ).

cnf(c_0_1008_0,axiom,
    class_HOL_Ominus(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_1008,def_lhs_atom200]) ).

cnf(c_0_1009_0,axiom,
    class_Orderings_Obot(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_1009,def_lhs_atom199]) ).

cnf(c_0_1010_0,axiom,
    class_Orderings_Otop(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_1010,def_lhs_atom198]) ).

cnf(c_0_1011_0,axiom,
    class_Orderings_Oorder(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_1011,def_lhs_atom197]) ).

cnf(c_0_1012_0,axiom,
    class_Lattices_Olattice(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_1012,def_lhs_atom196]) ).

cnf(c_0_1013_0,axiom,
    class_Orderings_Opreorder(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_1013,def_lhs_atom195]) ).

cnf(c_0_1014_0,axiom,
    class_Lattices_Obounded__lattice(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_1014,def_lhs_atom194]) ).

cnf(c_0_1015_0,axiom,
    class_Lattices_Oupper__semilattice(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_1015,def_lhs_atom193]) ).

cnf(c_0_1016_0,axiom,
    class_HOL_Oord(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_1016,def_lhs_atom192]) ).

cnf(c_0_1017_0,axiom,
    class_HOL_Ominus(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_1017,def_lhs_atom191]) ).

cnf(c_0_1018_0,axiom,
    class_Orderings_Obot(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_1018,def_lhs_atom190]) ).

cnf(c_0_1019_0,axiom,
    class_Orderings_Oorder(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_1019,def_lhs_atom189]) ).

cnf(c_0_1020_0,axiom,
    class_Lattices_Olattice(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_1020,def_lhs_atom188]) ).

cnf(c_0_1021_0,axiom,
    class_Orderings_Olinorder(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_1021,def_lhs_atom187]) ).

cnf(c_0_1022_0,axiom,
    class_Orderings_Opreorder(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_1022,def_lhs_atom186]) ).

cnf(c_0_1023_0,axiom,
    class_Lattices_Oupper__semilattice(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_1023,def_lhs_atom185]) ).

cnf(c_0_1024_0,axiom,
    c_Hoare__Mirabelle_OMGT(v_c) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal(tc_Com_Ostate)),v_c),hAPP(c_Natural_Oevalc,v_c)),
    inference(unfold_definition,[status(thm)],[c_0_1024,def_lhs_atom173]) ).

cnf(c_0_1025_0,axiom,
    hAPP(c_Fun_Oid(t_a),v_x) = v_x,
    inference(unfold_definition,[status(thm)],[c_0_1025,def_lhs_atom149]) ).

cnf(c_0_1026_0,axiom,
    hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x) = hAPP(hAPP(c_in(t_a),v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool))),
    inference(unfold_definition,[status(thm)],[c_0_1026,def_lhs_atom108]) ).

cnf(c_0_1027_0,axiom,
    hAPP(c_Fun_Ofcomp(v_f,v_g,t_a,t_b,t_c),v_x) = hAPP(v_g,hAPP(v_f,v_x)),
    inference(unfold_definition,[status(thm)],[c_0_1027,def_lhs_atom65]) ).

cnf(c_0_1028_0,axiom,
    c_Com_OWT(c_Com_Ocom_OSKIP),
    inference(unfold_definition,[status(thm)],[c_0_1028,def_lhs_atom16]) ).

cnf(c_0_1029_0,axiom,
    hAPP(c_Fun_Ocomp(v_f,v_g,t_a,t_b,t_c),v_x) = hAPP(v_f,hAPP(v_g,v_x)),
    inference(unfold_definition,[status(thm)],[c_0_1029,def_lhs_atom1]) ).

% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
    ! [X33,X34,X30,X28,X3] :
      ( c_Hoare__Mirabelle_Ohoare__valids(X28,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X3),X30,tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X3))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X3))),X33,tc_Com_Opname,tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X3)),X34,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X3)),X3)
      | ~ c_Hoare__Mirabelle_Ohoare__valids(c_Lattices_Oupper__semilattice__class_Osup(X28,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X3),X30,tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X3))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X3))),X33,tc_Com_Opname,tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X3)),X34,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X3)),tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)),c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X3),X30,tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X3))),tc_Com_Opname),c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X3))),X33,tc_Com_Opname,tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X3)),X34,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X3)),X3) ),
    file('<stdin>',cls_Body__sound__lemma_0) ).

fof(c_0_1_002,axiom,
    ! [X33,X34,X30,X28,X3] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X28,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X3),X30,tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X3))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X3))),X33,tc_Com_Opname,tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X3)),X34,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X3)),X3)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(X28,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X3),X30,tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X3))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X3))),X33,tc_Com_Opname,tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X3)),X34,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X3)),tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)),c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X3),X30,tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X3))),tc_Com_Opname),c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X3))),X33,tc_Com_Opname,tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X3)),X34,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X3)),X3) ),
    file('<stdin>',cls_hoare__derivs_OBody_0) ).

fof(c_0_2_003,axiom,
    ! [X32,X33,X34,X30,X28,X3] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X28,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),hAPP(X30,X32)),hAPP(c_Com_Ocom_OBODY,X32)),hAPP(X33,X32)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)),tc_Hoare__Mirabelle_Otriple(X3)),X3)
      | ~ hBOOL(hAPP(hAPP(c_in(tc_Com_Opname),X32),X34))
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(X28,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X3),X30,tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X3))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X3))),X33,tc_Com_Opname,tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X3)),X34,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X3)),tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)),c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X3),X30,tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X3))),tc_Com_Opname),c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X3))),X33,tc_Com_Opname,tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X3)),X34,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X3)),X3) ),
    file('<stdin>',cls_Body1_0) ).

fof(c_0_3_004,axiom,
    ! [X66,X67,X3] :
      ( c_lessequals(X67,X66,tc_fun(X3,tc_bool))
      | ~ c_lessequals(c_COMBC(c_in(X3),X67,X3,tc_fun(X3,tc_bool),tc_bool),c_COMBC(c_in(X3),X66,X3,tc_fun(X3,tc_bool),tc_bool),tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_pred__subset__eq_0) ).

fof(c_0_4_005,axiom,
    ! [X12,X46,X15,X13,X3] :
      ( ~ hBOOL(hAPP(hAPP(c_in(X13),hAPP(X12,X46)),c_Set_Oimage(X12,c_HOL_Ominus__class_Ominus(X15,c_Set_Oinsert(X46,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3,X13)))
      | ~ c_Fun_Oinj__on(X12,c_Set_Oinsert(X46,X15,X3),X3,X13) ),
    file('<stdin>',cls_inj__on__insert_1) ).

fof(c_0_5_006,axiom,
    ! [X66,X67,X3] :
      ( c_lessequals(c_COMBC(c_in(X3),X67,X3,tc_fun(X3,tc_bool),tc_bool),c_COMBC(c_in(X3),X66,X3,tc_fun(X3,tc_bool),tc_bool),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X67,X66,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_pred__subset__eq_1) ).

fof(c_0_6_007,axiom,
    ! [X50,X7,X51,X11,X52,X12,X53,X54,X55,X13,X3] :
      ( hAPP(X12,hAPP(X11,X7)) != hAPP(X52,hAPP(X51,X50))
      | hAPP(c_Fun_Ocomp(X12,X11,X13,X3,X55),X7) = hAPP(c_Fun_Ocomp(X52,X51,X54,X3,X53),X50) ),
    file('<stdin>',cls_comp__cong_0) ).

fof(c_0_7_008,axiom,
    ! [X11,X12,X15,X55,X13,X3] :
      ( c_Fun_Oinj__on(X11,c_Set_Oimage(X12,X15,X3,X55),X55,X13)
      | ~ c_Fun_Oinj__on(c_Fun_Ocomp(X11,X12,X55,X13,X3),X15,X3,X13) ),
    file('<stdin>',cls_inj__on__imageI_0) ).

fof(c_0_8_009,axiom,
    ! [X32,X33,X30,X28,X3] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X28,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X30),hAPP(c_Com_Ocom_OBODY,X32)),X33),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)),tc_Hoare__Mirabelle_Otriple(X3)),X3)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X30),hAPP(c_Com_Ocom_OBODY,X32)),X33),X28,tc_Hoare__Mirabelle_Otriple(X3)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X30),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X32))),X33),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)),tc_Hoare__Mirabelle_Otriple(X3)),X3) ),
    file('<stdin>',cls_BodyN_0) ).

fof(c_0_9_010,axiom,
    ! [X12,X46,X15,X13,X3] :
      ( c_Fun_Oinj__on(X12,c_Set_Oinsert(X46,X15,X3),X3,X13)
      | hBOOL(hAPP(hAPP(c_in(X13),hAPP(X12,X46)),c_Set_Oimage(X12,c_HOL_Ominus__class_Ominus(X15,c_Set_Oinsert(X46,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3,X13)))
      | ~ c_Fun_Oinj__on(X12,X15,X3,X13) ),
    file('<stdin>',cls_inj__on__insert_2) ).

fof(c_0_10_011,axiom,
    ! [X11,X12,X15,X55,X13,X3] :
      ( c_Fun_Oinj__on(c_Fun_Ocomp(X11,X12,X13,X55,X3),X15,X3,X55)
      | ~ c_Fun_Oinj__on(X11,c_Set_Oimage(X12,X15,X3,X13),X13,X55)
      | ~ c_Fun_Oinj__on(X12,X15,X3,X13) ),
    file('<stdin>',cls_comp__inj__on_0) ).

fof(c_0_11_012,axiom,
    ! [X66,X67,X3] :
      ( c_COMBC(c_in(X3),X67,X3,tc_fun(X3,tc_bool),tc_bool) != c_COMBC(c_in(X3),X66,X3,tc_fun(X3,tc_bool),tc_bool)
      | X67 = X66 ),
    file('<stdin>',cls_pred__equals__eq_0) ).

fof(c_0_12_013,axiom,
    ! [X56,X57,X19,X40,X46,X54,X55,X13,X3] :
      ( c_Fun_Ocomp(X46,X40,X55,X13,X3) != c_Fun_Ocomp(X19,X57,X54,X13,X3)
      | hAPP(X46,hAPP(X40,X56)) = hAPP(X19,hAPP(X57,X56)) ),
    file('<stdin>',cls_o__eq__dest_0) ).

fof(c_0_13_014,axiom,
    ! [X56,X19,X40,X46,X55,X13,X3] :
      ( c_Fun_Ocomp(X46,X40,X55,X13,X3) != c_Fun_Ocomp(c_Fun_Oid(X13),X19,X13,X13,X3)
      | hAPP(X46,hAPP(X40,X56)) = hAPP(X19,X56) ),
    file('<stdin>',cls_o__eq__id__dest_0) ).

fof(c_0_14_015,axiom,
    ! [X57,X19,X67,X33,X30,X28,X3] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X28,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X30),c_Com_Ocom_OSemi(X19,X57)),X67),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)),tc_Hoare__Mirabelle_Otriple(X3)),X3)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X28,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X33),X57),X67),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)),tc_Hoare__Mirabelle_Otriple(X3)),X3)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X28,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X30),X19),X33),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)),tc_Hoare__Mirabelle_Otriple(X3)),X3) ),
    file('<stdin>',cls_Comp_0) ).

fof(c_0_15_016,axiom,
    ! [X43,X44,X45,X42,X30] :
      ( ~ hBOOL(hAPP(X30,c_Hoare__Mirabelle_Otriple_Otriple__case(X42,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),X45),X44),X43),t_b,t_a)))
      | hBOOL(hAPP(X30,hAPP(hAPP(hAPP(X42,X45),X44),X43))) ),
    file('<stdin>',cls_triple_Osplit__asm_0) ).

fof(c_0_16_017,axiom,
    ! [X21,X23,X42,X25,X30] :
      ( ~ hBOOL(hAPP(X30,c_Hoare__Mirabelle_Otriple_Otriple__case(X42,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),X23),X25),X21),t_b,t_a)))
      | hBOOL(hAPP(X30,hAPP(hAPP(hAPP(X42,X23),X25),X21))) ),
    file('<stdin>',cls_triple_Osplit_0) ).

fof(c_0_17_018,axiom,
    ! [X32,X33,X30,X28,X3] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X28,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X30),hAPP(c_Com_Ocom_OBODY,X32)),X33),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)),tc_Hoare__Mirabelle_Otriple(X3)),X3)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X28,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X30),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X32))),X33),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)),tc_Hoare__Mirabelle_Otriple(X3)),X3) ),
    file('<stdin>',cls_weak__Body_0) ).

fof(c_0_18_019,axiom,
    ! [X12,X40,X46,X13,X3] :
      ( hAPP(X12,X46) = X40
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X46),c_Set_Ovimage(X12,c_Set_Oinsert(X40,c_Orderings_Obot__class_Obot(tc_fun(X13,tc_bool)),X13),X3,X13))) ),
    file('<stdin>',cls_vimage__singleton__eq_0) ).

fof(c_0_19_020,axiom,
    ! [X19,X33,X30] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),X30),X19),X33),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
      | ~ c_Hoare__Mirabelle_Ohoare__valids(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),X30),X19),X33),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(X19),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
    file('<stdin>',cls_MGF__complete_0) ).

fof(c_0_20_021,axiom,
    ! [X12,X46,X15,X13,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X46),X15))
      | ~ hBOOL(hAPP(hAPP(c_in(X13),hAPP(X12,X46)),c_Set_Oimage(X12,X15,X3,X13)))
      | ~ c_Fun_Oinj__on(X12,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X13) ),
    file('<stdin>',cls_inj__image__mem__iff_0) ).

fof(c_0_21_022,axiom,
    ! [X12,X14,X15,X13,X3] :
      ( c_lessequals(X15,X14,tc_fun(X3,tc_bool))
      | ~ c_lessequals(c_Set_Oimage(X12,X15,X3,X13),c_Set_Oimage(X12,X14,X3,X13),tc_fun(X13,tc_bool))
      | ~ c_Fun_Oinj__on(X12,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X13) ),
    file('<stdin>',cls_inj__image__subset__iff_0) ).

fof(c_0_22_023,axiom,
    ! [X12,X48,X14,X15,X13,X3] :
      ( c_Set_Oimage(X12,c_HOL_Ominus__class_Ominus(X15,X14,tc_fun(X3,tc_bool)),X3,X13) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X12,X15,X3,X13),c_Set_Oimage(X12,X14,X3,X13),tc_fun(X13,tc_bool))
      | ~ c_lessequals(X14,X48,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X48,tc_fun(X3,tc_bool))
      | ~ c_Fun_Oinj__on(X12,X48,X3,X13) ),
    file('<stdin>',cls_inj__on__image__set__diff_0) ).

fof(c_0_23_024,axiom,
    ! [X17,X18,X39,X37,X40] :
      ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X39),X18),X17))
      | hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X37),X18),X17))
      | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(X40,X37,X39)),X18),X17)) ),
    file('<stdin>',cls_evalc__elim__cases_I5_J_2) ).

fof(c_0_24_025,axiom,
    ! [X12,X14,X15,X13,X3] :
      ( c_lessequals(c_Set_Ovimage(X12,X14,X3,X13),X15,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X14,c_Set_Oimage(X12,X15,X3,X13),tc_fun(X13,tc_bool))
      | ~ c_Fun_Oinj__on(X12,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X13) ),
    file('<stdin>',cls_vimage__subsetI_0) ).

fof(c_0_25_026,axiom,
    ! [X12,X14,X15,X13,X3] :
      ( c_Set_Oimage(X12,c_HOL_Ominus__class_Ominus(X15,X14,tc_fun(X3,tc_bool)),X3,X13) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X12,X15,X3,X13),c_Set_Oimage(X12,X14,X3,X13),tc_fun(X13,tc_bool))
      | ~ c_Fun_Oinj__on(X12,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X13) ),
    file('<stdin>',cls_image__set__diff_0) ).

fof(c_0_26_027,axiom,
    ! [X12,X46,X14,X13,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X13),hAPP(X12,X46)),X14))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X46),c_Set_Ovimage(X12,X14,X3,X13))) ),
    file('<stdin>',cls_vimageE_0) ).

fof(c_0_27_028,axiom,
    ! [X12,X46,X15,X13,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X13),hAPP(X12,X46)),X15))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X46),c_Set_Ovimage(X12,X15,X3,X13))) ),
    file('<stdin>',cls_vimageD_0) ).

fof(c_0_28_029,axiom,
    ! [X17,X18,X39,X37,X40] :
      ( ~ hBOOL(hAPP(X40,X18))
      | hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X37),X18),X17))
      | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(X40,X37,X39)),X18),X17)) ),
    file('<stdin>',cls_evalc__elim__cases_I5_J_1) ).

fof(c_0_29_030,axiom,
    ! [X12,X46,X15,X13,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X13),hAPP(X12,X46)),c_Set_Oimage(X12,X15,X3,X13)))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X46),X15))
      | ~ c_Fun_Oinj__on(X12,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X13) ),
    file('<stdin>',cls_inj__image__mem__iff_1) ).

fof(c_0_30_031,axiom,
    ! [X17,X18,X39,X37,X40] :
      ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X39),X18),X17))
      | hBOOL(hAPP(X40,X18))
      | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(X40,X37,X39)),X18),X17)) ),
    file('<stdin>',cls_evalc__elim__cases_I5_J_0) ).

fof(c_0_31_032,axiom,
    ! [X32,X28] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X28,c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(hAPP(c_Com_Ocom_OBODY,X32)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(hAPP(c_Com_Ocom_OBODY,X32)),X28,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X32))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
    file('<stdin>',cls_MGT__BodyN_0) ).

fof(c_0_32_033,axiom,
    ! [X7,X12,X15,X13,X3] :
      ( hBOOL(hAPP(X15,hAPP(X12,X7)))
      | ~ hBOOL(hAPP(c_Set_Ovimage(X12,X15,X3,X13),X7)) ),
    file('<stdin>',cls_vimage__code_0) ).

fof(c_0_33_034,axiom,
    ! [X12,X14,X15,X13,X3] :
      ( c_lessequals(c_Set_Oimage(X12,X15,X3,X13),c_Set_Oimage(X12,X14,X3,X13),tc_fun(X13,tc_bool))
      | ~ c_lessequals(X15,X14,tc_fun(X3,tc_bool))
      | ~ c_Fun_Oinj__on(X12,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X13) ),
    file('<stdin>',cls_inj__image__subset__iff_1) ).

fof(c_0_34_035,axiom,
    ! [X29,X31,X32] :
      ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,X32)),X31),X29))
      | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X32))),X31),X29)) ),
    file('<stdin>',cls_evalc_OBody_0) ).

fof(c_0_35_036,axiom,
    ! [X12,X46,X14,X13,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X46),c_Set_Ovimage(X12,X14,X3,X13)))
      | ~ hBOOL(hAPP(hAPP(c_in(X13),hAPP(X12,X46)),X14)) ),
    file('<stdin>',cls_vimage__eq_1) ).

fof(c_0_36_037,axiom,
    ! [X12,X46,X15,X13,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X13),X46),c_Set_Ovimage(X12,X15,X13,X3)))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),hAPP(X12,X46)),X15)) ),
    file('<stdin>',cls_vimageI2_0) ).

fof(c_0_37_038,axiom,
    ! [X12,X46,X14,X13,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X13),X46),c_Set_Ovimage(X12,X14,X13,X3)))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),hAPP(X12,X46)),X14)) ),
    file('<stdin>',cls_vimageI_0) ).

fof(c_0_38_039,axiom,
    ! [X12,X14,X15,X13,X3] :
      ( c_Set_Oimage(X12,X15,X3,X13) != c_Set_Oimage(X12,X14,X3,X13)
      | ~ c_Fun_Oinj__on(X12,c_Lattices_Oupper__semilattice__class_Osup(X15,X14,tc_fun(X3,tc_bool)),X3,X13)
      | X15 = X14 ),
    file('<stdin>',cls_inj__on__Un__image__eq__iff_0) ).

fof(c_0_39_040,axiom,
    ! [X7,X14,X15,X3] :
      ( c_lessequals(X15,c_Set_Oinsert(X7,X14,X3),tc_fun(X3,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X7),X15))
      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X15,c_Set_Oinsert(X7,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X14,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_subset__insert__iff_3) ).

fof(c_0_40_041,axiom,
    ! [X7,X14,X15,X3] :
      ( c_lessequals(X15,c_Set_Oinsert(X7,X14,X3),tc_fun(X3,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X7),X15))
      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X15,c_Set_Oinsert(X7,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X14,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_diff__single__insert_0) ).

fof(c_0_41_042,axiom,
    ! [X7,X12,X15,X68,X3] :
      ( ~ hBOOL(hAPP(hAPP(c_in(X68),X7),X15))
      | hBOOL(hAPP(hAPP(c_in(X3),hAPP(X12,X7)),c_Set_Oimage(X12,X15,X68,X3))) ),
    file('<stdin>',cls_rev__image__eqI_0) ).

fof(c_0_42_043,axiom,
    ! [X7,X12,X15,X13,X3] :
      ( ~ hBOOL(hAPP(hAPP(c_in(X13),X7),X15))
      | hBOOL(hAPP(hAPP(c_in(X3),hAPP(X12,X7)),c_Set_Oimage(X12,X15,X13,X3))) ),
    file('<stdin>',cls_image__iff_2) ).

fof(c_0_43_044,axiom,
    ! [X7,X12,X15,X13,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),hAPP(X12,X7)),c_Set_Oimage(X12,X15,X13,X3)))
      | ~ hBOOL(hAPP(hAPP(c_in(X13),X7),X15)) ),
    file('<stdin>',cls_image__eqI_0) ).

fof(c_0_44_045,axiom,
    ! [X7,X12,X15,X13,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X13),hAPP(X12,X7)),c_Set_Oimage(X12,X15,X3,X13)))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X7),X15)) ),
    file('<stdin>',cls_imageI_0) ).

fof(c_0_45_046,axiom,
    ! [X29,X18,X30] :
      ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X30))),X18),X29))
      | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,X30)),X18),X29)) ),
    file('<stdin>',cls_evalc__elim__cases_I6_J_0) ).

fof(c_0_46_047,axiom,
    ! [X29,X18,X37,X38,X40] :
      ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(X40,X38,X37)),X18),X29))
      | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X38),X18),X29))
      | ~ hBOOL(hAPP(X40,X18)) ),
    file('<stdin>',cls_evalc_OIfTrue_0) ).

fof(c_0_47_048,axiom,
    ! [X29,X18,X37,X38,X40] :
      ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(X40,X38,X37)),X18),X29))
      | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X37),X18),X29))
      | hBOOL(hAPP(X40,X18)) ),
    file('<stdin>',cls_evalc_OIfFalse_0) ).

fof(c_0_48_049,axiom,
    ! [X7,X14,X15,X3] :
      ( c_lessequals(X15,c_Set_Oinsert(X7,X14,X3),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X14,tc_fun(X3,tc_bool))
      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X15,c_Set_Oinsert(X7,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X14,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_subset__insert__iff_4) ).

fof(c_0_49_050,axiom,
    ! [X32,X35,X33,X30,X3] :
      ( c_Hoare__Mirabelle_Otriple__valid(c_Suc(X35),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X30),hAPP(c_Com_Ocom_OBODY,X32)),X33),X3)
      | ~ c_Hoare__Mirabelle_Otriple__valid(X35,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X30),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X32))),X33),X3) ),
    file('<stdin>',cls_Body__triple__valid__Suc_0) ).

fof(c_0_50_051,axiom,
    ! [X36,X29,X31,X19,X40] :
      ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OWhile(X40,X19)),X31),X36))
      | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OWhile(X40,X19)),X29),X36))
      | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X19),X31),X29))
      | ~ hBOOL(hAPP(X40,X31)) ),
    file('<stdin>',cls_evalc_OWhileTrue_0) ).

fof(c_0_51_052,axiom,
    ! [X7,X12,X14,X15,X13,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),hAPP(X12,X7)),X14))
      | ~ hBOOL(hAPP(hAPP(c_in(X13),X7),X15))
      | ~ c_lessequals(c_Set_Oimage(X12,X15,X13,X3),X14,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_image__subset__iff_0) ).

fof(c_0_52_053,axiom,
    ! [X12,X14,X15,X13,X3] :
      ( c_Set_Oimage(X12,X15,X3,X13) != c_Set_Oimage(X12,X14,X3,X13)
      | ~ c_Fun_Oinj__on(X12,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X13)
      | X15 = X14 ),
    file('<stdin>',cls_inj__image__eq__iff_0) ).

fof(c_0_53_054,axiom,
    ! [X29,X18,X35,X30] :
      ( c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X30)),X18,c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(X30,X35,X18,X29),X29)
      | ~ c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X30),X18,X35,X29) ),
    file('<stdin>',cls_evaln__elim__cases_I6_J_1) ).

fof(c_0_54_055,axiom,
    ! [X12,X15,X13,X3] :
      ( c_Set_Ovimage(X12,c_Set_Oimage(X12,X15,X3,X13),X3,X13) = X15
      | ~ c_Fun_Oinj__on(X12,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X13) ),
    file('<stdin>',cls_inj__vimage__image__eq_0) ).

fof(c_0_55_056,axiom,
    ! [X32,X35,X33,X30,X3] :
      ( c_Hoare__Mirabelle_Otriple__valid(X35,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X30),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X32))),X33),X3)
      | ~ c_Hoare__Mirabelle_Otriple__valid(c_Suc(X35),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X30),hAPP(c_Com_Ocom_OBODY,X32)),X33),X3) ),
    file('<stdin>',cls_Body__triple__valid__Suc_1) ).

fof(c_0_56_057,axiom,
    ! [X12,X14,X15,X13,X3] :
      ( c_lessequals(c_Set_Ovimage(X12,X15,X13,X3),c_Set_Ovimage(X12,X14,X13,X3),tc_fun(X13,tc_bool))
      | ~ c_lessequals(X15,X14,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_vimage__mono_0) ).

fof(c_0_57_058,axiom,
    ! [X7,X12,X15,X13,X3] :
      ( ~ c_lessequals(X7,X15,tc_fun(X13,tc_bool))
      | c_lessequals(c_Set_Oimage(X12,X7,X13,X3),c_Set_Oimage(X12,X15,X13,X3),tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_subset__image__iff_2) ).

fof(c_0_58_059,axiom,
    ! [X12,X14,X15,X13,X3] :
      ( c_lessequals(c_Set_Oimage(X12,X15,X3,X13),c_Set_Oimage(X12,X14,X3,X13),tc_fun(X13,tc_bool))
      | ~ c_lessequals(X15,X14,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_image__mono_0) ).

fof(c_0_59_060,axiom,
    ! [X7,X12,X15,X13,X3] :
      ( hBOOL(hAPP(c_Set_Ovimage(X12,X15,X3,X13),X7))
      | ~ hBOOL(hAPP(X15,hAPP(X12,X7))) ),
    file('<stdin>',cls_vimage__code_1) ).

fof(c_0_60_061,axiom,
    ! [X36,X29,X31,X35,X19,X40] :
      ( c_Natural_Oevaln(c_Com_Ocom_OWhile(X40,X19),X31,X35,X36)
      | ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(X40,X19),X29,X35,X36)
      | ~ c_Natural_Oevaln(X19,X31,X35,X29)
      | ~ hBOOL(hAPP(X40,X31)) ),
    file('<stdin>',cls_evaln_OWhileTrue_0) ).

fof(c_0_61_062,axiom,
    ! [X7,X14,X15,X3] :
      ( c_lessequals(c_HOL_Ominus__class_Ominus(X15,c_Set_Oinsert(X7,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X14,tc_fun(X3,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X7),X15))
      | ~ c_lessequals(X15,c_Set_Oinsert(X7,X14,X3),tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_subset__insert__iff_0) ).

fof(c_0_62_063,axiom,
    ! [X17,X18,X35,X39,X37,X40] :
      ( c_Natural_Oevaln(X39,X18,X35,X17)
      | c_Natural_Oevaln(X37,X18,X35,X17)
      | ~ c_Natural_Oevaln(c_Com_Ocom_OCond(X40,X37,X39),X18,X35,X17) ),
    file('<stdin>',cls_evaln__elim__cases_I5_J_2) ).

fof(c_0_63_064,axiom,
    ! [X36,X29,X31,X35,X37,X38] :
      ( c_Natural_Oevaln(c_Com_Ocom_OSemi(X38,X37),X31,X35,X36)
      | ~ c_Natural_Oevaln(X37,X29,X35,X36)
      | ~ c_Natural_Oevaln(X38,X31,X35,X29) ),
    file('<stdin>',cls_evaln_OSemi_0) ).

fof(c_0_64_065,axiom,
    ! [X64,X18,X35,X19,X65,X33,X30] :
      ( hBOOL(hAPP(hAPP(X33,X65),X64))
      | ~ c_Natural_Oevaln(X19,X18,X35,X64)
      | ~ hBOOL(hAPP(hAPP(X30,X65),X18))
      | ~ c_Hoare__Mirabelle_Otriple__valid(X35,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X30),X19),X33),t_a) ),
    file('<stdin>',cls_triple__valid__def2_0) ).

fof(c_0_65_066,axiom,
    ! [X7,X12,X15,X13,X3] :
      ( c_Set_Oinsert(hAPP(X12,X7),c_Set_Oimage(X12,X15,X3,X13),X13) = c_Set_Oimage(X12,X15,X3,X13)
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X7),X15)) ),
    file('<stdin>',cls_insert__image_0) ).

fof(c_0_66_067,axiom,
    ! [X36,X29,X31,X37,X38] :
      ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OSemi(X38,X37)),X31),X36))
      | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X37),X29),X36))
      | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X38),X31),X29)) ),
    file('<stdin>',cls_evalc_OSemi_0) ).

fof(c_0_67_068,axiom,
    ! [X29,X18,X35,X30] :
      ( X35 = c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(X30,X35,X18,X29))
      | ~ c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X30),X18,X35,X29) ),
    file('<stdin>',cls_evaln__elim__cases_I6_J_0) ).

fof(c_0_68_069,axiom,
    ! [X12,X14,X15,X13,X3] :
      ( c_Fun_Oinj__on(X12,X14,X3,X13)
      | ~ c_Fun_Oinj__on(X12,c_Lattices_Oupper__semilattice__class_Osup(X15,X14,tc_fun(X3,tc_bool)),X3,X13) ),
    file('<stdin>',cls_inj__on__Un_1) ).

fof(c_0_69_070,axiom,
    ! [X12,X14,X15,X13,X3] :
      ( c_Fun_Oinj__on(X12,X15,X3,X13)
      | ~ c_Fun_Oinj__on(X12,c_Lattices_Oupper__semilattice__class_Osup(X15,X14,tc_fun(X3,tc_bool)),X3,X13) ),
    file('<stdin>',cls_inj__on__Un_0) ).

fof(c_0_70_071,axiom,
    ! [X19,X14,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X19),X14))
      | hBOOL(hAPP(hAPP(c_in(X3),X19),X15))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X19),c_Lattices_Oupper__semilattice__class_Osup(X15,X14,tc_fun(X3,tc_bool)))) ),
    file('<stdin>',cls_UnE_0) ).

fof(c_0_71_072,axiom,
    ! [X17,X18,X35,X39,X37,X40] :
      ( ~ hBOOL(hAPP(X40,X18))
      | c_Natural_Oevaln(X37,X18,X35,X17)
      | ~ c_Natural_Oevaln(c_Com_Ocom_OCond(X40,X37,X39),X18,X35,X17) ),
    file('<stdin>',cls_evaln__elim__cases_I5_J_1) ).

fof(c_0_72_073,axiom,
    ! [X57,X19,X40,X46,X3] :
      ( c_Set_Oinsert(X46,c_Set_Oinsert(X40,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X19,c_Set_Oinsert(X57,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)
      | X46 = X57
      | X46 = X19 ),
    file('<stdin>',cls_doubleton__eq__iff_0) ).

fof(c_0_73_074,axiom,
    ! [X57,X19,X40,X46,X3] :
      ( c_Set_Oinsert(X46,c_Set_Oinsert(X40,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X19,c_Set_Oinsert(X57,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)
      | X40 = X19
      | X46 = X19 ),
    file('<stdin>',cls_doubleton__eq__iff_1) ).

fof(c_0_74_075,axiom,
    ! [X57,X19,X40,X46,X3] :
      ( c_Set_Oinsert(X46,c_Set_Oinsert(X40,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X19,c_Set_Oinsert(X57,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)
      | X46 = X57
      | X40 = X57 ),
    file('<stdin>',cls_doubleton__eq__iff_2) ).

fof(c_0_75_076,axiom,
    ! [X57,X19,X40,X46,X3] :
      ( c_Set_Oinsert(X46,c_Set_Oinsert(X40,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X19,c_Set_Oinsert(X57,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)
      | X40 = X19
      | X40 = X57 ),
    file('<stdin>',cls_doubleton__eq__iff_3) ).

fof(c_0_76_077,axiom,
    ! [X17,X18,X35,X39,X37,X40] :
      ( c_Natural_Oevaln(X39,X18,X35,X17)
      | hBOOL(hAPP(X40,X18))
      | ~ c_Natural_Oevaln(c_Com_Ocom_OCond(X40,X37,X39),X18,X35,X17) ),
    file('<stdin>',cls_evaln__elim__cases_I5_J_0) ).

fof(c_0_77_078,axiom,
    ! [X40,X46,X3] :
      ( X40 = X46
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X40),c_Set_Oinsert(X46,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3))) ),
    file('<stdin>',cls_singletonE_0) ).

fof(c_0_78_079,axiom,
    ! [X19,X14,X15,X3] :
      ( ~ hBOOL(hAPP(hAPP(c_in(X3),X19),X14))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X19),c_HOL_Ominus__class_Ominus(X15,X14,tc_fun(X3,tc_bool)))) ),
    file('<stdin>',cls_DiffE_1) ).

fof(c_0_79_080,axiom,
    ! [X12,X46,X15,X13,X3] :
      ( c_Fun_Oinj__on(X12,X15,X3,X13)
      | ~ c_Fun_Oinj__on(X12,c_Set_Oinsert(X46,X15,X3),X3,X13) ),
    file('<stdin>',cls_inj__on__insert_0) ).

fof(c_0_80_081,axiom,
    ! [X46,X15,X3] :
      ( c_Set_Oinsert(X46,c_HOL_Ominus__class_Ominus(X15,c_Set_Oinsert(X46,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = X15
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X46),X15)) ),
    file('<stdin>',cls_insert__Diff_0) ).

fof(c_0_81_082,axiom,
    ! [X29,X18,X35,X37,X38,X40] :
      ( c_Natural_Oevaln(c_Com_Ocom_OCond(X40,X38,X37),X18,X35,X29)
      | ~ c_Natural_Oevaln(X38,X18,X35,X29)
      | ~ hBOOL(hAPP(X40,X18)) ),
    file('<stdin>',cls_evaln_OIfTrue_0) ).

fof(c_0_82_083,axiom,
    ! [X12,X14,X15,X13,X3] :
      ( c_Fun_Oinj__on(X12,c_HOL_Ominus__class_Ominus(X15,X14,tc_fun(X3,tc_bool)),X3,X13)
      | ~ c_Fun_Oinj__on(X12,X15,X3,X13) ),
    file('<stdin>',cls_inj__on__diff_0) ).

fof(c_0_83_084,axiom,
    ! [X29,X31,X32,X35] :
      ( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X32),X31,c_Suc(X35),X29)
      | ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X32)),X31,X35,X29) ),
    file('<stdin>',cls_evaln_OBody_0) ).

fof(c_0_84_085,axiom,
    ! [X29,X18,X35,X37,X38,X40] :
      ( c_Natural_Oevaln(c_Com_Ocom_OCond(X40,X38,X37),X18,X35,X29)
      | ~ c_Natural_Oevaln(X37,X18,X35,X29)
      | hBOOL(hAPP(X40,X18)) ),
    file('<stdin>',cls_evaln_OIfFalse_0) ).

fof(c_0_85_086,axiom,
    ! [X26,X17,X28,X3] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X28,c_Set_Oinsert(X17,X26,tc_Hoare__Mirabelle_Otriple(X3)),X3)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X28,X26,X3)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X28,c_Set_Oinsert(X17,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)),tc_Hoare__Mirabelle_Otriple(X3)),X3) ),
    file('<stdin>',cls_hoare__derivs_Oinsert_0) ).

fof(c_0_86_087,axiom,
    ! [X6,X7,X12,X15,X13,X3] :
      ( hAPP(X12,X7) != hAPP(X12,X6)
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X7),X15))
      | X7 = X6
      | ~ c_Fun_Oinj__on(X12,X15,X3,X13) ),
    file('<stdin>',cls_inj__on__contraD_0) ).

fof(c_0_87_088,axiom,
    ! [X6,X7,X12,X15,X13,X3] :
      ( hAPP(X12,X7) != hAPP(X12,X6)
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X7),X15))
      | ~ c_Fun_Oinj__on(X12,X15,X3,X13)
      | X7 = X6 ),
    file('<stdin>',cls_inj__on__iff_0) ).

fof(c_0_88_089,axiom,
    ! [X45,X7,X12,X15,X13,X3] :
      ( hAPP(X12,X7) != hAPP(X12,X45)
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X45),X15))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X7),X15))
      | ~ c_Fun_Oinj__on(X12,X15,X3,X13)
      | X7 = X45 ),
    file('<stdin>',cls_inj__on__def_0) ).

fof(c_0_89_090,axiom,
    ! [X6,X7,X12,X15,X13,X3] :
      ( hAPP(X12,X7) != hAPP(X12,X6)
      | ~ c_Fun_Oinj__on(X12,X15,X3,X13)
      | X7 = X6
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X7),X15)) ),
    file('<stdin>',cls_inj__onD_0) ).

fof(c_0_90_091,axiom,
    ! [X12,X14,X15,X13,X3] :
      ( c_Fun_Oinj__on(X12,X15,X3,X13)
      | ~ c_lessequals(X15,X14,tc_fun(X3,tc_bool))
      | ~ c_Fun_Oinj__on(X12,X14,X3,X13) ),
    file('<stdin>',cls_subset__inj__on_0) ).

fof(c_0_91_092,axiom,
    ! [X19,X14,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X19),X15))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X19),c_HOL_Ominus__class_Ominus(X15,X14,tc_fun(X3,tc_bool)))) ),
    file('<stdin>',cls_DiffE_0) ).

fof(c_0_92_093,axiom,
    ! [X19,X14,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X19),c_HOL_Ominus__class_Ominus(X15,X14,tc_fun(X3,tc_bool))))
      | hBOOL(hAPP(hAPP(c_in(X3),X19),X14))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X19),X15)) ),
    file('<stdin>',cls_Diff__iff_2) ).

fof(c_0_93_094,axiom,
    ! [X19,X14,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X19),c_HOL_Ominus__class_Ominus(X15,X14,tc_fun(X3,tc_bool))))
      | hBOOL(hAPP(hAPP(c_in(X3),X19),X14))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X19),X15)) ),
    file('<stdin>',cls_DiffI_0) ).

fof(c_0_94_095,axiom,
    ! [X64,X18,X35,X19] :
      ( c_Natural_Oevaln(X19,X18,c_Suc(X35),X64)
      | ~ c_Natural_Oevaln(X19,X18,X35,X64) ),
    file('<stdin>',cls_evaln__Suc_0) ).

fof(c_0_95_096,axiom,
    ! [X17,X18,X19,X40] :
      ( hBOOL(hAPP(X40,X18))
      | X17 = X18
      | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OWhile(X40,X19)),X18),X17)) ),
    file('<stdin>',cls_evalc__WHILE__case_0) ).

fof(c_0_96_097,axiom,
    ! [X47,X48,X14,X15,X3] :
      ( c_lessequals(c_HOL_Ominus__class_Ominus(X15,X14,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X48,X47,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X47,X14,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X48,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Diff__mono_0) ).

fof(c_0_97_098,axiom,
    ! [X47,X48,X14,X15,X3] :
      ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X15,X14,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X48,X47,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X14,X47,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X48,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Un__mono_0) ).

fof(c_0_98_099,axiom,
    ! [X40,X46,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X46),X15))
      | X46 = X40
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X46),c_Set_Oinsert(X40,X15,X3))) ),
    file('<stdin>',cls_insertE_0) ).

fof(c_0_99_100,axiom,
    ! [X26,X17,X28,X3] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X28,c_Set_Oinsert(X17,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)),tc_Hoare__Mirabelle_Otriple(X3)),X3)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X28,c_Set_Oinsert(X17,X26,tc_Hoare__Mirabelle_Otriple(X3)),X3) ),
    file('<stdin>',cls_derivs__insertD_0) ).

fof(c_0_100_101,axiom,
    ! [X48,X14,X15,X3] :
      ( c_lessequals(c_HOL_Ominus__class_Ominus(X15,X14,tc_fun(X3,tc_bool)),X48,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,c_Lattices_Oupper__semilattice__class_Osup(X14,X48,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Diff__subset__conv_1) ).

fof(c_0_101_102,axiom,
    ! [X48,X14,X15,X3] :
      ( c_lessequals(X15,c_Lattices_Oupper__semilattice__class_Osup(X14,X48,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X15,X14,tc_fun(X3,tc_bool)),X48,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Diff__subset__conv_0) ).

fof(c_0_102_103,axiom,
    ! [X7,X15,X3] :
      ( X15 = c_Set_Oinsert(X7,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
      | X15 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,c_Set_Oinsert(X7,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_subset__singletonD_0) ).

fof(c_0_103_104,axiom,
    ! [X7,X14,X15,X3] :
      ( hBOOL(hAPP(X14,X7))
      | hBOOL(hAPP(X15,X7))
      | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X15,X14,tc_fun(X3,tc_bool)),X7)) ),
    file('<stdin>',cls_sup1E_0) ).

fof(c_0_104_105,axiom,
    ! [X19,X14,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X19),c_Lattices_Oupper__semilattice__class_Osup(X15,X14,tc_fun(X3,tc_bool))))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X19),X15)) ),
    file('<stdin>',cls_UnCI_1) ).

fof(c_0_105_106,axiom,
    ! [X19,X14,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X19),c_Lattices_Oupper__semilattice__class_Osup(X15,X14,tc_fun(X3,tc_bool))))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X19),X14)) ),
    file('<stdin>',cls_UnCI_0) ).

fof(c_0_106_107,axiom,
    ! [X17,X18,X35,X19] :
      ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X19),X18),X17))
      | ~ c_Natural_Oevaln(X19,X18,X35,X17) ),
    file('<stdin>',cls_evaln__evalc_0) ).

fof(c_0_107_108,axiom,
    ! [X7,X17,X18,X19] :
      ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X19),X18),X17))
      | ~ c_Natural_Oevaln(X19,X18,X7,X17) ),
    file('<stdin>',cls_eval__eq_1) ).

fof(c_0_108_109,axiom,
    ! [X16,X17,X18,X19] :
      ( X16 = X17
      | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X19),X18),X16))
      | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X19),X18),X17)) ),
    file('<stdin>',cls_com__det_0) ).

fof(c_0_109_110,axiom,
    ! [X6,X7,X12,X13,X3] :
      ( hAPP(X12,X7) != hAPP(X12,X6)
      | ~ c_Fun_Oinj__on(X12,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X13)
      | X7 = X6 ),
    file('<stdin>',cls_injD_0) ).

fof(c_0_110_111,axiom,
    ! [X7,X15,X3] :
      ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X7,X15,X3),c_Set_Oinsert(X7,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) = X15
      | hBOOL(hAPP(hAPP(c_in(X3),X7),X15)) ),
    file('<stdin>',cls_Diff__insert__absorb_0) ).

fof(c_0_111_112,axiom,
    ! [X7,X14,X15,X3] :
      ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X7,X15,X3),X14,tc_fun(X3,tc_bool)) = c_Set_Oinsert(X7,c_HOL_Ominus__class_Ominus(X15,X14,tc_fun(X3,tc_bool)),X3)
      | hBOOL(hAPP(hAPP(c_in(X3),X7),X14)) ),
    file('<stdin>',cls_insert__Diff__if_1) ).

fof(c_0_112_113,axiom,
    ! [X40,X46,X14,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X46),c_Set_Oinsert(X40,X14,X3)))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X46),X14)) ),
    file('<stdin>',cls_insertCI_0) ).

fof(c_0_113_114,axiom,
    ! [X40,X46,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X46),c_Set_Oinsert(X40,X15,X3)))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X46),X15)) ),
    file('<stdin>',cls_insert__iff_2) ).

fof(c_0_114_115,axiom,
    ! [X48,X14,X15,X3] :
      ( c_HOL_Ominus__class_Ominus(X14,c_HOL_Ominus__class_Ominus(X48,X15,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X15
      | ~ c_lessequals(X14,X48,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X14,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_double__diff_0) ).

fof(c_0_115_116,axiom,
    ! [X48,X14,X15,X3] :
      ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X15,X14,tc_fun(X3,tc_bool)),X48,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X14,X48,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X48,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Un__subset__iff_2) ).

fof(c_0_116_117,axiom,
    ! [X48,X14,X15,X3] :
      ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X15,X14,tc_fun(X3,tc_bool)),X48,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X14,X48,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X48,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Un__least_0) ).

fof(c_0_117_118,axiom,
    ! [X7,X14,X15,X3] :
      ( c_lessequals(X15,X14,tc_fun(X3,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X3),X7),X15))
      | ~ c_lessequals(X15,c_Set_Oinsert(X7,X14,X3),tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_subset__insert__iff_1) ).

fof(c_0_118_119,axiom,
    ! [X7,X14,X15,X3] :
      ( c_lessequals(X15,X14,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,c_Set_Oinsert(X7,X14,X3),tc_fun(X3,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X3),X7),X15)) ),
    file('<stdin>',cls_subset__insert_0) ).

fof(c_0_119_120,axiom,
    ! [X7,X14,X15,X3] :
      ( c_lessequals(c_Set_Oinsert(X7,X15,X3),X14,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X14,tc_fun(X3,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X7),X14)) ),
    file('<stdin>',cls_insert__subset_2) ).

fof(c_0_120_121,axiom,
    ! [X17,X18,X35,X19,X40] :
      ( hBOOL(hAPP(X40,X18))
      | X17 = X18
      | ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(X40,X19),X18,X35,X17) ),
    file('<stdin>',cls_evaln__WHILE__case_0) ).

fof(c_0_121_122,axiom,
    ! [X12,X15,X13,X3] :
      ( c_Set_Oimage(X12,X15,X13,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | X15 = c_Orderings_Obot__class_Obot(tc_fun(X13,tc_bool)) ),
    file('<stdin>',cls_image__is__empty_0) ).

fof(c_0_122_123,axiom,
    ! [X12,X15,X13,X3] :
      ( c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) != c_Set_Oimage(X12,X15,X13,X3)
      | X15 = c_Orderings_Obot__class_Obot(tc_fun(X13,tc_bool)) ),
    file('<stdin>',cls_empty__is__image_0) ).

fof(c_0_123_124,axiom,
    ! [X48,X14,X15,X3] :
      ( c_lessequals(X14,X48,tc_fun(X3,tc_bool))
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X15,X14,tc_fun(X3,tc_bool)),X48,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Un__subset__iff_1) ).

fof(c_0_124_125,axiom,
    ! [X48,X14,X15,X3] :
      ( c_lessequals(X15,X48,tc_fun(X3,tc_bool))
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X15,X14,tc_fun(X3,tc_bool)),X48,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Un__subset__iff_0) ).

fof(c_0_125_126,axiom,
    ! [X7,X14,X15,X3] :
      ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X7,X15,X3),X14,tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(X15,X14,tc_fun(X3,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X7),X14)) ),
    file('<stdin>',cls_insert__Diff1_0) ).

fof(c_0_126_127,axiom,
    ! [X6,X7,X15,X3] :
      ( hBOOL(hAPP(X15,X7))
      | X6 = X7
      | ~ hBOOL(hAPP(c_Set_Oinsert(X6,X15,X3),X7)) ),
    file('<stdin>',cls_insert__code_0) ).

fof(c_0_127_128,axiom,
    ! [X7,X14,X15,X3] :
      ( c_lessequals(X15,c_Set_Oinsert(X7,X14,X3),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X14,tc_fun(X3,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X3),X7),X15)) ),
    file('<stdin>',cls_subset__insert__iff_2) ).

fof(c_0_128_129,axiom,
    ! [X7,X14,X15,X3] :
      ( c_lessequals(X15,c_Set_Oinsert(X7,X14,X3),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X14,tc_fun(X3,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X3),X7),X15)) ),
    file('<stdin>',cls_subset__insert_1) ).

fof(c_0_129_130,axiom,
    ! [X46,X47,X48,X3] :
      ( c_lessequals(c_Set_Oinsert(X46,X48,X3),c_Set_Oinsert(X46,X47,X3),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X48,X47,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_insert__mono_0) ).

fof(c_0_130_131,axiom,
    ! [X18,X19,X40] :
      ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OWhile(X40,X19)),X18),X18))
      | hBOOL(hAPP(X40,X18)) ),
    file('<stdin>',cls_evalc_OWhileFalse_0) ).

fof(c_0_131_132,axiom,
    ! [X7,X14,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X7),X14))
      | ~ c_lessequals(c_Set_Oinsert(X7,X15,X3),X14,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_insert__subset_0) ).

fof(c_0_132_133,axiom,
    ! [X7,X14,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X7),X14))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X7),X15))
      | ~ c_lessequals(X15,X14,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_set__mp_0) ).

fof(c_0_133_134,axiom,
    ! [X19,X14,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X19),X14))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X19),X15))
      | ~ c_lessequals(X15,X14,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_subsetD_0) ).

fof(c_0_134_135,axiom,
    ! [X7,X14,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X7),X14))
      | ~ c_lessequals(X15,X14,tc_fun(X3,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X7),X15)) ),
    file('<stdin>',cls_set__rev__mp_0) ).

fof(c_0_135_136,axiom,
    ! [X17,X14,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X17),X14))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X17),X15))
      | ~ c_lessequals(X15,X14,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_subset__iff_0) ).

fof(c_0_136_137,axiom,
    ! [X17,X18,X35] :
      ( X17 = X18
      | ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,X18,X35,X17) ),
    file('<stdin>',cls_evaln__elim__cases_I1_J_0) ).

fof(c_0_137_138,axiom,
    ! [X7,X14,X15,X3] :
      ( c_Set_Oinsert(X7,X15,X3) != c_Set_Oinsert(X7,X14,X3)
      | hBOOL(hAPP(hAPP(c_in(X3),X7),X14))
      | hBOOL(hAPP(hAPP(c_in(X3),X7),X15))
      | X15 = X14 ),
    file('<stdin>',cls_insert__ident_0) ).

fof(c_0_138_139,axiom,
    ! [X7,X14,X15,X3] :
      ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X15,X14,tc_fun(X3,tc_bool)),X7))
      | ~ hBOOL(hAPP(X15,X7)) ),
    file('<stdin>',cls_sup1CI_1) ).

fof(c_0_139_140,axiom,
    ! [X7,X14,X15,X3] :
      ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X15,X14,tc_fun(X3,tc_bool)),X7))
      | ~ hBOOL(hAPP(X14,X7)) ),
    file('<stdin>',cls_sup1CI_0) ).

fof(c_0_140_141,axiom,
    ! [X7,X30,X3] :
      ( ~ hBOOL(hAPP(X30,X7))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X7),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))) ),
    file('<stdin>',cls_bex__empty_0) ).

fof(c_0_141_142,axiom,
    ! [X7,X14,X15,X3] :
      ( c_lessequals(X15,X14,tc_fun(X3,tc_bool))
      | ~ c_lessequals(c_Set_Oinsert(X7,X15,X3),X14,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_insert__subset_1) ).

fof(c_0_142_143,axiom,
    ! [X20,X21,X22,X23,X24,X25,X3] :
      ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X23),X25),X21) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X22),X24),X20)
      | X21 = X20 ),
    file('<stdin>',cls_triple_Oinject_2) ).

fof(c_0_143_144,axiom,
    ! [X20,X21,X22,X23,X24,X25,X3] :
      ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X23),X25),X21) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X22),X24),X20)
      | X25 = X24 ),
    file('<stdin>',cls_triple_Oinject_1) ).

fof(c_0_144_145,axiom,
    ! [X20,X21,X22,X23,X24,X25,X3] :
      ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X23),X25),X21) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X22),X24),X20)
      | X23 = X22 ),
    file('<stdin>',cls_triple_Oinject_0) ).

fof(c_0_145_146,axiom,
    ! [X7,X30,X3] :
      ( hBOOL(hAPP(X30,X7))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X7),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))) ),
    file('<stdin>',cls_ball__empty_0) ).

fof(c_0_146_147,axiom,
    ! [X14,X15,X3] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X15,c_HOL_Ominus__class_Ominus(X14,X15,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X14
      | ~ c_lessequals(X15,X14,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Diff__partition_0) ).

fof(c_0_147_148,axiom,
    ! [X7,X40,X46,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X46,X40,X3),X7,X3)
      | ~ c_lessequals(X40,X7,X3)
      | ~ c_lessequals(X46,X7,X3) ),
    file('<stdin>',cls_le__supI_0) ).

fof(c_0_148_149,axiom,
    ! [X10,X6,X7,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X6,X10,X3),X7,X3)
      | ~ c_lessequals(X10,X7,X3)
      | ~ c_lessequals(X6,X7,X3) ),
    file('<stdin>',cls_sup__least_0) ).

fof(c_0_149_150,axiom,
    ! [X10,X6,X7,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3),X10,X3)
      | ~ c_lessequals(X6,X10,X3)
      | ~ c_lessequals(X7,X10,X3) ),
    file('<stdin>',cls_le__sup__iff_2) ).

fof(c_0_150_151,axiom,
    ! [X40,X46,X3] :
      ( c_Set_Oinsert(X46,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) != c_Set_Oinsert(X40,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
      | X46 = X40 ),
    file('<stdin>',cls_singleton__inject_0) ).

fof(c_0_151_152,axiom,
    ! [X10,X6,X7,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3),X10,X3) = c_Lattices_Oupper__semilattice__class_Osup(X7,c_Lattices_Oupper__semilattice__class_Osup(X6,X10,X3),X3) ),
    file('<stdin>',cls_sup__assoc_0) ).

fof(c_0_152_153,axiom,
    ! [X10,X6,X7,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,c_Lattices_Oupper__semilattice__class_Osup(X6,X10,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X6,c_Lattices_Oupper__semilattice__class_Osup(X7,X10,X3),X3) ),
    file('<stdin>',cls_sup__left__commute_0) ).

fof(c_0_153_154,axiom,
    ! [X10,X6,X7,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,c_Lattices_Oupper__semilattice__class_Osup(X6,X10,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X6,c_Lattices_Oupper__semilattice__class_Osup(X7,X10,X3),X3) ),
    file('<stdin>',cls_inf__sup__aci_I7_J_0) ).

fof(c_0_154_155,axiom,
    ! [X10,X6,X7,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3),X10,X3) = c_Lattices_Oupper__semilattice__class_Osup(X7,c_Lattices_Oupper__semilattice__class_Osup(X6,X10,X3),X3) ),
    file('<stdin>',cls_inf__sup__aci_I6_J_0) ).

fof(c_0_155_156,axiom,
    ! [X26,X17,X28,X3] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X28,X26,X3)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X28,c_Set_Oinsert(X17,X26,tc_Hoare__Mirabelle_Otriple(X3)),X3) ),
    file('<stdin>',cls_derivs__insertD_1) ).

fof(c_0_156_157,axiom,
    ! [X40,X46,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(X46,X40,X3)
      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X46,X40,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_le__iff__diff__le__0_1) ).

fof(c_0_157_158,axiom,
    ! [X48,X14,X15,X3] :
      ( c_lessequals(X15,X48,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X14,X48,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X14,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_subset__trans_0) ).

fof(c_0_158_159,axiom,
    ! [X49,X6,X50,X7,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X7,X6,X3) != c_HOL_Ominus__class_Ominus(X50,X49,X3)
      | c_lessequals(X49,X50,X3)
      | ~ c_lessequals(X6,X7,X3) ),
    file('<stdin>',cls_le__eqI_0) ).

fof(c_0_159_160,axiom,
    ! [X49,X6,X50,X7,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X7,X6,X3) != c_HOL_Ominus__class_Ominus(X50,X49,X3)
      | c_lessequals(X6,X7,X3)
      | ~ c_lessequals(X49,X50,X3) ),
    file('<stdin>',cls_le__eqI_1) ).

fof(c_0_160_161,axiom,
    ! [X7,X40,X46,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X46,X7,X3)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X46,X40,X3),X7,X3) ),
    file('<stdin>',cls_le__supE_0) ).

fof(c_0_161_162,axiom,
    ! [X7,X40,X46,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X40,X7,X3)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X46,X40,X3),X7,X3) ),
    file('<stdin>',cls_le__supE_1) ).

fof(c_0_162_163,axiom,
    ! [X10,X6,X7,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X7,X10,X3)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3),X10,X3) ),
    file('<stdin>',cls_le__sup__iff_0) ).

fof(c_0_163_164,axiom,
    ! [X10,X6,X7,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X6,X10,X3)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3),X10,X3) ),
    file('<stdin>',cls_le__sup__iff_1) ).

fof(c_0_164_165,axiom,
    ! [X40,X14,X15,X3] :
      ( c_lessequals(X15,c_Set_Oinsert(X40,X14,X3),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X14,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_subset__insertI2_0) ).

fof(c_0_165_166,axiom,
    ! [X18,X35,X19,X40] :
      ( c_Natural_Oevaln(c_Com_Ocom_OWhile(X40,X19),X18,X35,X18)
      | hBOOL(hAPP(X40,X18)) ),
    file('<stdin>',cls_evaln_OWhileFalse_0) ).

fof(c_0_166_167,axiom,
    ! [X6,X7,X15,X3] :
      ( hBOOL(hAPP(c_Set_Oinsert(X6,X15,X3),X7))
      | ~ hBOOL(hAPP(X15,X7)) ),
    file('<stdin>',cls_insert__code_2) ).

fof(c_0_167_168,axiom,
    ! [X41,X26,X28,X3] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X28,X26,X3)
      | ~ c_lessequals(X26,X41,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool))
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X28,X41,X3) ),
    file('<stdin>',cls_weaken_0) ).

fof(c_0_168_169,axiom,
    ! [X26,X27,X28,X3] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X28,X26,X3)
      | ~ c_lessequals(X27,X28,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool))
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X27,X26,X3) ),
    file('<stdin>',cls_thin_0) ).

fof(c_0_169_170,axiom,
    ! [X14,X15,X13] :
      ( ~ class_HOL_Ominus(X13)
      | hAPP(c_HOL_Ominus__class_Ominus(X15,X14,tc_fun(t_a,X13)),v_x) = c_HOL_Ominus__class_Ominus(hAPP(X15,v_x),hAPP(X14,v_x),X13) ),
    file('<stdin>',cls_fun__diff__def_0) ).

fof(c_0_170_171,axiom,
    ! [X11,X12,X13] :
      ( ~ class_Lattices_Olattice(X13)
      | hAPP(c_Lattices_Oupper__semilattice__class_Osup(X12,X11,tc_fun(t_a,X13)),v_x) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(X12,v_x),hAPP(X11,v_x),X13) ),
    file('<stdin>',cls_sup__fun__eq_0) ).

fof(c_0_171_172,axiom,
    ! [X40,X46,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Ominus__class_Ominus(X46,X40,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X46,X40,X3) ),
    file('<stdin>',cls_le__iff__diff__le__0_0) ).

fof(c_0_172_173,axiom,
    ! [X17,X18] :
      ( X17 = X18
      | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OSKIP),X18),X17)) ),
    file('<stdin>',cls_evalc__elim__cases_I1_J_0) ).

fof(c_0_173_174,axiom,
    ! [X7,X40,X46,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X7,c_Lattices_Oupper__semilattice__class_Osup(X46,X40,X3),X3)
      | ~ c_lessequals(X7,X46,X3) ),
    file('<stdin>',cls_le__supI1_0) ).

fof(c_0_174_175,axiom,
    ! [X7,X40,X46,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X7,c_Lattices_Oupper__semilattice__class_Osup(X46,X40,X3),X3)
      | ~ c_lessequals(X7,X40,X3) ),
    file('<stdin>',cls_le__supI2_0) ).

fof(c_0_175_176,axiom,
    ( ~ class_Lattices_Olattice(t_b)
    | hAPP(c_Lattices_Oupper__semilattice__class_Osup(v_f,v_g,tc_fun(t_a,t_b)),v_x) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(v_f,v_x),hAPP(v_g,v_x),t_b) ),
    file('<stdin>',cls_sup__fun__eq__raw_0) ).

fof(c_0_176_177,axiom,
    ! [X14,X15,X3] :
      ( X15 = X14
      | ~ c_lessequals(X14,X15,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X14,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_equalityI_0) ).

fof(c_0_177_178,axiom,
    ! [X14,X15,X3] :
      ( X15 = X14
      | ~ c_lessequals(X14,X15,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X14,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_set__eq__subset_2) ).

fof(c_0_178_179,axiom,
    ! [X7,X11,X12,X13,X3] :
      ( ~ class_HOL_Oord(X13)
      | c_lessequals(hAPP(X12,X7),hAPP(X11,X7),X13)
      | ~ c_lessequals(X12,X11,tc_fun(X3,X13)) ),
    file('<stdin>',cls_le__funD_0) ).

fof(c_0_179_180,axiom,
    ! [X45,X7,X3] :
      ( c_Set_Oinsert(X7,X45,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X3),X7),X45)) ),
    file('<stdin>',cls_comm__monoid__add_Ononempty__iff_2) ).

fof(c_0_180_181,axiom,
    ! [X10,X6,X7,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_lessequals(X10,X7,X3)
      | ~ c_lessequals(X10,X6,X3)
      | ~ c_lessequals(X6,X7,X3) ),
    file('<stdin>',cls_xt1_I6_J_0) ).

fof(c_0_181_182,axiom,
    ! [X10,X6,X7,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_lessequals(X7,X10,X3)
      | ~ c_lessequals(X6,X10,X3)
      | ~ c_lessequals(X7,X6,X3) ),
    file('<stdin>',cls_order__trans_0) ).

fof(c_0_182_183,axiom,
    ! [X15,X3] :
      ( X15 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_subset__empty_0) ).

fof(c_0_183_184,axiom,
    ! [X26,X27,X28,X3] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X28,X26,X3)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X28,X27,X3)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X27,X26,X3) ),
    file('<stdin>',cls_cut_0) ).

fof(c_0_184_185,axiom,
    ! [X46,X15,X3] :
      ( c_Set_Oinsert(X46,X15,X3) = X15
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X46),X15)) ),
    file('<stdin>',cls_insert__absorb_0) ).

fof(c_0_185_186,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3) ),
    file('<stdin>',cls_sup__left__idem_0) ).

fof(c_0_186_187,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3) ),
    file('<stdin>',cls_inf__sup__aci_I8_J_0) ).

fof(c_0_187_188,axiom,
    ! [X46,X2,X30] :
      ( c_Com_OWT(hAPP(c_Com_Ocom_OBODY,X30))
      | ~ c_Com_OWT(c_Com_Ocom_OCall(X2,X30,X46)) ),
    file('<stdin>',cls_WTs__elim__cases_I8_J_0) ).

fof(c_0_188_189,axiom,
    ! [X14,X15,X3] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X15,X14,tc_fun(X3,tc_bool)) != X14
      | c_lessequals(X15,X14,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_subset__Un__eq_1) ).

fof(c_0_189_190,axiom,
    ! [X14,X15,X3] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X15,X14,tc_fun(X3,tc_bool)) = X15
      | ~ c_lessequals(X14,X15,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Un__absorb2_0) ).

fof(c_0_190_191,axiom,
    ! [X14,X15,X3] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X15,X14,tc_fun(X3,tc_bool)) = X14
      | ~ c_lessequals(X15,X14,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Un__absorb1_0) ).

fof(c_0_191_192,axiom,
    ! [X7,X33,X30,X3] :
      ( hBOOL(hAPP(X33,X7))
      | ~ hBOOL(hAPP(X30,X7))
      | ~ c_lessequals(X30,X33,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_predicate1D_0) ).

fof(c_0_192_193,axiom,
    ! [X7,X33,X30,X3] :
      ( hBOOL(hAPP(X33,X7))
      | ~ c_lessequals(X30,X33,tc_fun(X3,tc_bool))
      | ~ hBOOL(hAPP(X30,X7)) ),
    file('<stdin>',cls_rev__predicate1D_0) ).

fof(c_0_193_194,axiom,
    ! [X7,X66,X3] :
      ( hBOOL(hAPP(X66,X7))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X7),X66)) ),
    file('<stdin>',cls_mem__def_0) ).

fof(c_0_194_195,axiom,
    ! [X26,X28,X3] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X28,X26,X3)
      | ~ c_lessequals(X26,X28,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)) ),
    file('<stdin>',cls_asm_0) ).

fof(c_0_195_196,axiom,
    ! [X14,X15,X3] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X15,X14,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | X14 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Un__empty_1) ).

fof(c_0_196_197,axiom,
    ! [X14,X15,X3] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X15,X14,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | X15 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Un__empty_0) ).

fof(c_0_197_198,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | X7 = X6
      | ~ c_lessequals(X6,X7,X3)
      | ~ c_lessequals(X7,X6,X3) ),
    file('<stdin>',cls_order__eq__iff_2) ).

fof(c_0_198_199,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | X7 = X6
      | ~ c_lessequals(X6,X7,X3)
      | ~ c_lessequals(X7,X6,X3) ),
    file('<stdin>',cls_order__antisym_0) ).

fof(c_0_199_200,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | X7 = X6
      | ~ c_lessequals(X7,X6,X3)
      | ~ c_lessequals(X6,X7,X3) ),
    file('<stdin>',cls_order__antisym__conv_0) ).

fof(c_0_200_201,axiom,
    ! [X6,X45,X7,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X45,X6,X3) != c_HOL_Ominus__class_Ominus(X7,X7,X3)
      | X45 = X6 ),
    file('<stdin>',cls_eq__eqI_1) ).

fof(c_0_201_202,axiom,
    ! [X49,X50,X7,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X7,X7,X3) != c_HOL_Ominus__class_Ominus(X50,X49,X3)
      | X50 = X49 ),
    file('<stdin>',cls_eq__eqI_0) ).

fof(c_0_202_203,axiom,
    ! [X19,X46,X1] :
      ( c_Com_OWT(X19)
      | ~ c_Com_OWT(c_Com_Ocom_OLocal(X1,X46,X19)) ),
    file('<stdin>',cls_WTs__elim__cases_I3_J_0) ).

fof(c_0_203_204,axiom,
    ! [X39,X37,X40] :
      ( c_Com_OWT(X39)
      | ~ c_Com_OWT(c_Com_Ocom_OCond(X40,X37,X39)) ),
    file('<stdin>',cls_WTs__elim__cases_I5_J_1) ).

fof(c_0_204_205,axiom,
    ! [X39,X37,X40] :
      ( c_Com_OWT(X37)
      | ~ c_Com_OWT(c_Com_Ocom_OCond(X40,X37,X39)) ),
    file('<stdin>',cls_WTs__elim__cases_I5_J_0) ).

fof(c_0_205_206,axiom,
    ! [X62,X63,X8,X9,X60,X61] :
      ( c_Com_Ocom_OCall(X63,X9,X61) != c_Com_Ocom_OCall(X62,X8,X60)
      | X61 = X60 ),
    file('<stdin>',cls_com_Osimps_I7_J_2) ).

fof(c_0_206_207,axiom,
    ! [X62,X63,X8,X9,X60,X61] :
      ( c_Com_Ocom_OCall(X63,X9,X61) != c_Com_Ocom_OCall(X62,X8,X60)
      | X9 = X8 ),
    file('<stdin>',cls_com_Osimps_I7_J_1) ).

fof(c_0_207_208,axiom,
    ! [X62,X63,X8,X9,X60,X61] :
      ( c_Com_Ocom_OCall(X63,X9,X61) != c_Com_Ocom_OCall(X62,X8,X60)
      | X63 = X62 ),
    file('<stdin>',cls_com_Osimps_I7_J_0) ).

fof(c_0_208_209,axiom,
    ! [X60,X61,X72,X73,X74,X75] :
      ( c_Com_Ocom_OCond(X61,X75,X73) != c_Com_Ocom_OCond(X60,X74,X72)
      | X73 = X72 ),
    file('<stdin>',cls_com_Osimps_I4_J_2) ).

fof(c_0_209_210,axiom,
    ! [X60,X61,X72,X73,X74,X75] :
      ( c_Com_Ocom_OCond(X61,X75,X73) != c_Com_Ocom_OCond(X60,X74,X72)
      | X75 = X74 ),
    file('<stdin>',cls_com_Osimps_I4_J_1) ).

fof(c_0_210_211,axiom,
    ! [X60,X61,X72,X73,X74,X75] :
      ( c_Com_Ocom_OCond(X61,X75,X73) != c_Com_Ocom_OCond(X60,X74,X72)
      | X61 = X60 ),
    file('<stdin>',cls_com_Osimps_I4_J_0) ).

fof(c_0_211_212,axiom,
    ! [X58,X59,X60,X61,X24,X25] :
      ( c_Com_Ocom_OLocal(X59,X61,X25) != c_Com_Ocom_OLocal(X58,X60,X24)
      | X25 = X24 ),
    file('<stdin>',cls_com_Osimps_I2_J_2) ).

fof(c_0_212_213,axiom,
    ! [X58,X59,X60,X61,X24,X25] :
      ( c_Com_Ocom_OLocal(X59,X61,X25) != c_Com_Ocom_OLocal(X58,X60,X24)
      | X61 = X60 ),
    file('<stdin>',cls_com_Osimps_I2_J_1) ).

fof(c_0_213_214,axiom,
    ! [X58,X59,X60,X61,X24,X25] :
      ( c_Com_Ocom_OLocal(X59,X61,X25) != c_Com_Ocom_OLocal(X58,X60,X24)
      | X59 = X58 ),
    file('<stdin>',cls_com_Osimps_I2_J_0) ).

fof(c_0_214_215,axiom,
    ! [X1,X2,X3] :
      ( X2 = X1
      | ~ hBOOL(hAPP(hAPP(c_fequal(X3),X2),X1)) ),
    file('<stdin>',cls_ATP__Linkup_Ofequal__imp__equal_0) ).

fof(c_0_215_216,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X7,c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3),X3) ),
    file('<stdin>',cls_sup__ge1_0) ).

fof(c_0_216_217,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X6,c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3),X3) ),
    file('<stdin>',cls_sup__ge2_0) ).

fof(c_0_217_218,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_lessequals(X6,c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3),X3) ),
    file('<stdin>',cls_inf__sup__ord_I4_J_0) ).

fof(c_0_218_219,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_lessequals(X7,c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3),X3) ),
    file('<stdin>',cls_inf__sup__ord_I3_J_0) ).

fof(c_0_219_220,axiom,
    ! [X7,X66,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X7),X66))
      | ~ hBOOL(hAPP(X66,X7)) ),
    file('<stdin>',cls_mem__def_1) ).

fof(c_0_220_221,axiom,
    ! [X32,X46,X2] :
      ( c_Com_OWT(c_Com_Ocom_OCall(X2,X32,X46))
      | ~ c_Com_OWT(hAPP(c_Com_Ocom_OBODY,X32)) ),
    file('<stdin>',cls_WT_OCall_0) ).

fof(c_0_221_222,axiom,
    ! [X17,X35,X3] :
      ( c_Hoare__Mirabelle_Otriple__valid(X35,X17,X3)
      | ~ c_Hoare__Mirabelle_Otriple__valid(c_Suc(X35),X17,X3) ),
    file('<stdin>',cls_triple__valid__Suc_0) ).

fof(c_0_222_223,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3) != X6
      | c_lessequals(X7,X6,X3) ),
    file('<stdin>',cls_le__iff__sup_1) ).

fof(c_0_223_224,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3) = X6
      | ~ c_lessequals(X7,X6,X3) ),
    file('<stdin>',cls_le__iff__sup_0) ).

fof(c_0_224_225,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3) = X7
      | ~ c_lessequals(X6,X7,X3) ),
    file('<stdin>',cls_sup__absorb1_0) ).

fof(c_0_225_226,axiom,
    ! [X26,X28,X3] :
      ( c_Hoare__Mirabelle_Ohoare__valids(X28,X26,X3)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X28,X26,X3) ),
    file('<stdin>',cls_hoare__sound_0) ).

fof(c_0_226_227,axiom,
    ! [X37,X38,X40] :
      ( c_Com_OWT(c_Com_Ocom_OCond(X40,X38,X37))
      | ~ c_Com_OWT(X37)
      | ~ c_Com_OWT(X38) ),
    file('<stdin>',cls_WT_OIf_0) ).

fof(c_0_227_228,axiom,
    ! [X46,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X46,X3) = c_HOL_Ozero__class_Ozero(X3)
      | ~ c_lessequals(X46,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_le__zero__iff__zero__pprt_0) ).

fof(c_0_228_229,axiom,
    ! [X19,X46,X1] :
      ( c_Com_OWT(c_Com_Ocom_OLocal(X1,X46,X19))
      | ~ c_Com_OWT(X19) ),
    file('<stdin>',cls_WT_OLocal_0) ).

fof(c_0_229_230,axiom,
    ! [X46,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X46,X3) = X46
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X46,X3) ),
    file('<stdin>',cls_le__zero__iff__pprt__id_0) ).

fof(c_0_230_231,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_lessequals(X6,X7,X3)
      | c_lessequals(X7,X6,X3) ),
    file('<stdin>',cls_linorder__linear_0) ).

fof(c_0_231_232,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3) = c_Lattices_Oupper__semilattice__class_Osup(X6,X7,X3) ),
    file('<stdin>',cls_sup__commute_0) ).

fof(c_0_232_233,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3) = c_Lattices_Oupper__semilattice__class_Osup(X6,X7,X3) ),
    file('<stdin>',cls_inf__sup__aci_I5_J_0) ).

fof(c_0_233_234,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | ~ class_Int_Onumber__ring(X3)
      | c_HOL_Ominus__class_Ominus(X7,X6,X3) != c_HOL_Ozero__class_Ozero(X3)
      | X7 = X6 ),
    file('<stdin>',cls_class__ringb_Osubr0__iff_0) ).

fof(c_0_234_235,axiom,
    ! [X14,X15,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X15,X14,X3) != c_Orderings_Obot__class_Obot(X3)
      | X15 = c_Orderings_Obot__class_Obot(X3) ),
    file('<stdin>',cls_sup__eq__bot__eq1_0) ).

fof(c_0_235_236,axiom,
    ! [X14,X15,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X15,X14,X3) != c_Orderings_Obot__class_Obot(X3)
      | X14 = c_Orderings_Obot__class_Obot(X3) ),
    file('<stdin>',cls_sup__eq__bot__eq2_0) ).

fof(c_0_236_237,axiom,
    ! [X40,X46,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ominus__class_Ominus(X46,X40,X3) != c_HOL_Ozero__class_Ozero(X3)
      | X46 = X40 ),
    file('<stdin>',cls_right__minus__eq_0) ).

fof(c_0_237_238,axiom,
    ! [X40,X46,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X46,X40,X3) != c_HOL_Ozero__class_Ozero(X3)
      | X46 = X40 ),
    file('<stdin>',cls_eq__iff__diff__eq__0_1) ).

fof(c_0_238_239,axiom,
    ! [X46,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X46,X3) != c_HOL_Ozero__class_Ozero(X3)
      | c_lessequals(X46,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_le__zero__iff__zero__pprt_1) ).

fof(c_0_239_240,axiom,
    ! [X46,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X46,X3),X3) ),
    file('<stdin>',cls_zero__le__pprt_0) ).

fof(c_0_240_241,axiom,
    ! [X46,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X46,X3) != X46
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X46,X3) ),
    file('<stdin>',cls_le__zero__iff__pprt__id_1) ).

fof(c_0_241_242,axiom,
    ! [X13] :
      ( ~ class_Orderings_Obot(X13)
      | hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X13)),v_x) = c_Orderings_Obot__class_Obot(X13) ),
    file('<stdin>',cls_bot__fun__eq_0) ).

fof(c_0_242_243,axiom,
    ! [X13] :
      ( ~ class_Orderings_Otop(X13)
      | hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,X13)),v_x) = c_Orderings_Otop__class_Otop(X13) ),
    file('<stdin>',cls_top__fun__eq_0) ).

fof(c_0_243_244,axiom,
    ! [X7,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | ~ class_Int_Onumber__ring(X3)
      | c_HOL_Ominus__class_Ominus(X7,X7,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_class__ringb_Osubr0__iff_1) ).

fof(c_0_244_245,axiom,
    ! [X7,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(X3),X7,X3) = c_Orderings_Otop__class_Otop(X3) ),
    file('<stdin>',cls_sup__top__left_0) ).

fof(c_0_245_246,axiom,
    ! [X7,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,c_Orderings_Otop__class_Otop(X3),X3) = c_Orderings_Otop__class_Otop(X3) ),
    file('<stdin>',cls_sup__top__right_0) ).

fof(c_0_246_247,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(t_a)
    | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(v_x,t_a) = c_Lattices_Oupper__semilattice__class_Osup(v_x,c_HOL_Ozero__class_Ozero(t_a),t_a) ),
    file('<stdin>',cls_pprt__def__raw_0) ).

fof(c_0_247_248,axiom,
    ! [X46,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ominus__class_Ominus(X46,c_HOL_Ozero__class_Ozero(X3),X3) = X46 ),
    file('<stdin>',cls_diff__0__right_0) ).

fof(c_0_248_249,axiom,
    ! [X7,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X3),X7,X3) = X7 ),
    file('<stdin>',cls_sup__bot__left_0) ).

fof(c_0_249_250,axiom,
    ! [X7,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,c_Orderings_Obot__class_Obot(X3),X3) = X7 ),
    file('<stdin>',cls_sup__bot__right_0) ).

fof(c_0_250_251,axiom,
    ! [X7,X3] :
      ( ~ class_Orderings_Obot(X3)
      | c_lessequals(c_Orderings_Obot__class_Obot(X3),X7,X3) ),
    file('<stdin>',cls_bot__least_0) ).

fof(c_0_251_252,axiom,
    ! [X7,X3] :
      ( ~ class_Orderings_Otop(X3)
      | c_lessequals(X7,c_Orderings_Otop__class_Otop(X3),X3) ),
    file('<stdin>',cls_top__greatest_0) ).

fof(c_0_252_253,axiom,
    ! [X7,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X7,X7,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_eq__iff__diff__eq__0_0) ).

fof(c_0_253_254,axiom,
    ! [X7,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ominus__class_Ominus(X7,X7,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_right__minus__eq_1) ).

fof(c_0_254_255,axiom,
    ! [X46,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ominus__class_Ominus(X46,X46,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_diff__self_0) ).

fof(c_0_255_256,axiom,
    ! [X7,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,X7,X3) = X7 ),
    file('<stdin>',cls_sup__idem_0) ).

fof(c_0_256_257,axiom,
    ! [X7,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_lessequals(X7,X7,X3) ),
    file('<stdin>',cls_order__eq__iff_0) ).

fof(c_0_257_258,axiom,
    ! [X7,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_lessequals(X7,X7,X3) ),
    file('<stdin>',cls_order__eq__refl_0) ).

fof(c_0_258_259,axiom,
    ! [X19,X40] :
      ( c_Com_OWT(X19)
      | ~ c_Com_OWT(c_Com_Ocom_OWhile(X40,X19)) ),
    file('<stdin>',cls_WTs__elim__cases_I6_J_0) ).

fof(c_0_259_260,axiom,
    ! [X39,X37] :
      ( c_Com_OWT(X39)
      | ~ c_Com_OWT(c_Com_Ocom_OSemi(X37,X39)) ),
    file('<stdin>',cls_WTs__elim__cases_I4_J_1) ).

fof(c_0_260_261,axiom,
    ! [X39,X37] :
      ( c_Com_OWT(X37)
      | ~ c_Com_OWT(c_Com_Ocom_OSemi(X37,X39)) ),
    file('<stdin>',cls_WTs__elim__cases_I4_J_0) ).

fof(c_0_261_262,axiom,
    ! [X72,X73,X74,X75] :
      ( c_Com_Ocom_OSemi(X75,X73) != c_Com_Ocom_OSemi(X74,X72)
      | X73 = X72 ),
    file('<stdin>',cls_com_Osimps_I3_J_1) ).

fof(c_0_262_263,axiom,
    ! [X72,X73,X74,X75] :
      ( c_Com_Ocom_OSemi(X75,X73) != c_Com_Ocom_OSemi(X74,X72)
      | X75 = X74 ),
    file('<stdin>',cls_com_Osimps_I3_J_0) ).

fof(c_0_263_264,axiom,
    ! [X71,X46,X3] :
      ( c_Option_Ooption_OSome(X46,X3) != c_Option_Ooption_OSome(X71,X3)
      | X46 = X71 ),
    file('<stdin>',cls_option_Oinject_0) ).

fof(c_0_264_265,axiom,
    ! [X60,X61,X24,X25] :
      ( c_Com_Ocom_OWhile(X61,X25) != c_Com_Ocom_OWhile(X60,X24)
      | X61 = X60 ),
    file('<stdin>',cls_com_Osimps_I5_J_0) ).

fof(c_0_265_266,axiom,
    ! [X60,X61,X24,X25] :
      ( c_Com_Ocom_OWhile(X61,X25) != c_Com_Ocom_OWhile(X60,X24)
      | X25 = X24 ),
    file('<stdin>',cls_com_Osimps_I5_J_1) ).

fof(c_0_266_267,axiom,
    ! [X62,X63,X60,X61] :
      ( c_Com_Ocom_OAss(X63,X61) != c_Com_Ocom_OAss(X62,X60)
      | X61 = X60 ),
    file('<stdin>',cls_com_Osimps_I1_J_1) ).

fof(c_0_267_268,axiom,
    ! [X62,X63,X60,X61] :
      ( c_Com_Ocom_OAss(X63,X61) != c_Com_Ocom_OAss(X62,X60)
      | X63 = X62 ),
    file('<stdin>',cls_com_Osimps_I1_J_0) ).

fof(c_0_268_269,axiom,
    ! [X37,X38] :
      ( c_Com_OWT(c_Com_Ocom_OSemi(X38,X37))
      | ~ c_Com_OWT(X37)
      | ~ c_Com_OWT(X38) ),
    file('<stdin>',cls_WT_OSemi_0) ).

fof(c_0_269_270,axiom,
    ! [X32] :
      ( c_Com_OWT(hAPP(c_Com_Ocom_OBODY,X32))
      | hAPP(c_Com_Obody,X32) = c_Option_Ooption_ONone(tc_Com_Ocom) ),
    file('<stdin>',cls_WT_OBody_0) ).

fof(c_0_270_271,axiom,
    ! [X8,X9] :
      ( hAPP(c_Com_Ocom_OBODY,X9) != hAPP(c_Com_Ocom_OBODY,X8)
      | X9 = X8 ),
    file('<stdin>',cls_com_Osimps_I6_J_0) ).

fof(c_0_271_272,axiom,
    ! [X19,X40] :
      ( c_Com_OWT(c_Com_Ocom_OWhile(X40,X19))
      | ~ c_Com_OWT(X19) ),
    file('<stdin>',cls_While_0) ).

fof(c_0_272_273,axiom,
    ! [X4,X5] :
      ( class_Lattices_Oupper__semilattice(tc_fun(X4,X5))
      | ~ class_Lattices_Olattice(X5) ),
    file('<stdin>',clsarity_fun__Lattices_Oupper__semilattice) ).

fof(c_0_273_274,axiom,
    ! [X4,X5] :
      ( class_Lattices_Obounded__lattice(tc_fun(X4,X5))
      | ~ class_Lattices_Obounded__lattice(X5) ),
    file('<stdin>',clsarity_fun__Lattices_Obounded__lattice) ).

fof(c_0_274_275,axiom,
    ! [X4,X5] :
      ( class_Orderings_Opreorder(tc_fun(X4,X5))
      | ~ class_Orderings_Opreorder(X5) ),
    file('<stdin>',clsarity_fun__Orderings_Opreorder) ).

fof(c_0_275_276,axiom,
    ! [X4,X5] :
      ( class_Lattices_Olattice(tc_fun(X4,X5))
      | ~ class_Lattices_Olattice(X5) ),
    file('<stdin>',clsarity_fun__Lattices_Olattice) ).

fof(c_0_276_277,axiom,
    ! [X4,X5] :
      ( class_Orderings_Oorder(tc_fun(X4,X5))
      | ~ class_Orderings_Oorder(X5) ),
    file('<stdin>',clsarity_fun__Orderings_Oorder) ).

fof(c_0_277_278,axiom,
    ! [X4,X5] :
      ( class_Orderings_Otop(tc_fun(X4,X5))
      | ~ class_Orderings_Otop(X5) ),
    file('<stdin>',clsarity_fun__Orderings_Otop) ).

fof(c_0_278_279,axiom,
    ! [X4,X5] :
      ( class_Orderings_Obot(tc_fun(X4,X5))
      | ~ class_Orderings_Obot(X5) ),
    file('<stdin>',clsarity_fun__Orderings_Obot) ).

fof(c_0_279_280,axiom,
    ! [X4,X5] :
      ( class_HOL_Ominus(tc_fun(X4,X5))
      | ~ class_HOL_Ominus(X5) ),
    file('<stdin>',clsarity_fun__HOL_Ominus) ).

fof(c_0_280_281,axiom,
    ! [X4,X5] :
      ( class_HOL_Oord(tc_fun(X4,X5))
      | ~ class_HOL_Oord(X5) ),
    file('<stdin>',clsarity_fun__HOL_Oord) ).

fof(c_0_281_282,axiom,
    ! [X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ozero__class_Ozero(X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_pprt__0_0) ).

fof(c_0_282_283,axiom,
    ! [X6,X7] :
      ( c_Suc(X7) != c_Suc(X6)
      | X7 = X6 ),
    file('<stdin>',cls_Suc__inject_0) ).

fof(c_0_283_284,axiom,
    ! [X69,X70] :
      ( c_Suc(X70) != c_Suc(X69)
      | X70 = X69 ),
    file('<stdin>',cls_nat_Oinject_0) ).

fof(c_0_284_285,plain,
    ! [X33,X34,X30,X28,X3] :
      ( c_Hoare__Mirabelle_Ohoare__valids(X28,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X3),X30,tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X3))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X3))),X33,tc_Com_Opname,tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X3)),X34,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X3)),X3)
      | ~ c_Hoare__Mirabelle_Ohoare__valids(c_Lattices_Oupper__semilattice__class_Osup(X28,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X3),X30,tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X3))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X3))),X33,tc_Com_Opname,tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X3)),X34,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X3)),tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)),c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X3),X30,tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X3))),tc_Com_Opname),c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X3))),X33,tc_Com_Opname,tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X3)),X34,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X3)),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_285_286,plain,
    ! [X33,X34,X30,X28,X3] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X28,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X3),X30,tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X3))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X3))),X33,tc_Com_Opname,tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X3)),X34,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X3)),X3)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(X28,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X3),X30,tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X3))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X3))),X33,tc_Com_Opname,tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X3)),X34,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X3)),tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)),c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X3),X30,tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X3))),tc_Com_Opname),c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X3))),X33,tc_Com_Opname,tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X3)),X34,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X3)),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_286_287,plain,
    ! [X32,X33,X34,X30,X28,X3] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X28,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),hAPP(X30,X32)),hAPP(c_Com_Ocom_OBODY,X32)),hAPP(X33,X32)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)),tc_Hoare__Mirabelle_Otriple(X3)),X3)
      | ~ hBOOL(hAPP(hAPP(c_in(tc_Com_Opname),X32),X34))
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(X28,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X3),X30,tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X3))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X3))),X33,tc_Com_Opname,tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X3)),X34,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X3)),tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)),c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X3),X30,tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X3))),tc_Com_Opname),c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X3))),X33,tc_Com_Opname,tc_fun(X3,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X3)),X34,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X3)),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_287_288,plain,
    ! [X66,X67,X3] :
      ( c_lessequals(X67,X66,tc_fun(X3,tc_bool))
      | ~ c_lessequals(c_COMBC(c_in(X3),X67,X3,tc_fun(X3,tc_bool),tc_bool),c_COMBC(c_in(X3),X66,X3,tc_fun(X3,tc_bool),tc_bool),tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_288_289,plain,
    ! [X12,X46,X15,X13,X3] :
      ( ~ hBOOL(hAPP(hAPP(c_in(X13),hAPP(X12,X46)),c_Set_Oimage(X12,c_HOL_Ominus__class_Ominus(X15,c_Set_Oinsert(X46,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3,X13)))
      | ~ c_Fun_Oinj__on(X12,c_Set_Oinsert(X46,X15,X3),X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_289_290,plain,
    ! [X66,X67,X3] :
      ( c_lessequals(c_COMBC(c_in(X3),X67,X3,tc_fun(X3,tc_bool),tc_bool),c_COMBC(c_in(X3),X66,X3,tc_fun(X3,tc_bool),tc_bool),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X67,X66,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

fof(c_0_290_291,axiom,
    ! [X50,X7,X51,X11,X52,X12,X53,X54,X55,X13,X3] :
      ( hAPP(X12,hAPP(X11,X7)) != hAPP(X52,hAPP(X51,X50))
      | hAPP(c_Fun_Ocomp(X12,X11,X13,X3,X55),X7) = hAPP(c_Fun_Ocomp(X52,X51,X54,X3,X53),X50) ),
    c_0_6 ).

fof(c_0_291_292,plain,
    ! [X11,X12,X15,X55,X13,X3] :
      ( c_Fun_Oinj__on(X11,c_Set_Oimage(X12,X15,X3,X55),X55,X13)
      | ~ c_Fun_Oinj__on(c_Fun_Ocomp(X11,X12,X55,X13,X3),X15,X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

fof(c_0_292_293,plain,
    ! [X32,X33,X30,X28,X3] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X28,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X30),hAPP(c_Com_Ocom_OBODY,X32)),X33),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)),tc_Hoare__Mirabelle_Otriple(X3)),X3)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X30),hAPP(c_Com_Ocom_OBODY,X32)),X33),X28,tc_Hoare__Mirabelle_Otriple(X3)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X30),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X32))),X33),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)),tc_Hoare__Mirabelle_Otriple(X3)),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_8]) ).

fof(c_0_293_294,plain,
    ! [X12,X46,X15,X13,X3] :
      ( c_Fun_Oinj__on(X12,c_Set_Oinsert(X46,X15,X3),X3,X13)
      | hBOOL(hAPP(hAPP(c_in(X13),hAPP(X12,X46)),c_Set_Oimage(X12,c_HOL_Ominus__class_Ominus(X15,c_Set_Oinsert(X46,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3,X13)))
      | ~ c_Fun_Oinj__on(X12,X15,X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_9]) ).

fof(c_0_294_295,plain,
    ! [X11,X12,X15,X55,X13,X3] :
      ( c_Fun_Oinj__on(c_Fun_Ocomp(X11,X12,X13,X55,X3),X15,X3,X55)
      | ~ c_Fun_Oinj__on(X11,c_Set_Oimage(X12,X15,X3,X13),X13,X55)
      | ~ c_Fun_Oinj__on(X12,X15,X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_10]) ).

fof(c_0_295_296,axiom,
    ! [X66,X67,X3] :
      ( c_COMBC(c_in(X3),X67,X3,tc_fun(X3,tc_bool),tc_bool) != c_COMBC(c_in(X3),X66,X3,tc_fun(X3,tc_bool),tc_bool)
      | X67 = X66 ),
    c_0_11 ).

fof(c_0_296_297,axiom,
    ! [X56,X57,X19,X40,X46,X54,X55,X13,X3] :
      ( c_Fun_Ocomp(X46,X40,X55,X13,X3) != c_Fun_Ocomp(X19,X57,X54,X13,X3)
      | hAPP(X46,hAPP(X40,X56)) = hAPP(X19,hAPP(X57,X56)) ),
    c_0_12 ).

fof(c_0_297_298,axiom,
    ! [X56,X19,X40,X46,X55,X13,X3] :
      ( c_Fun_Ocomp(X46,X40,X55,X13,X3) != c_Fun_Ocomp(c_Fun_Oid(X13),X19,X13,X13,X3)
      | hAPP(X46,hAPP(X40,X56)) = hAPP(X19,X56) ),
    c_0_13 ).

fof(c_0_298_299,plain,
    ! [X57,X19,X67,X33,X30,X28,X3] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X28,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X30),c_Com_Ocom_OSemi(X19,X57)),X67),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)),tc_Hoare__Mirabelle_Otriple(X3)),X3)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X28,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X33),X57),X67),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)),tc_Hoare__Mirabelle_Otriple(X3)),X3)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X28,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X30),X19),X33),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)),tc_Hoare__Mirabelle_Otriple(X3)),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_14]) ).

fof(c_0_299_300,plain,
    ! [X43,X44,X45,X42,X30] :
      ( ~ hBOOL(hAPP(X30,c_Hoare__Mirabelle_Otriple_Otriple__case(X42,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),X45),X44),X43),t_b,t_a)))
      | hBOOL(hAPP(X30,hAPP(hAPP(hAPP(X42,X45),X44),X43))) ),
    inference(fof_simplification,[status(thm)],[c_0_15]) ).

fof(c_0_300_301,plain,
    ! [X21,X23,X42,X25,X30] :
      ( ~ hBOOL(hAPP(X30,c_Hoare__Mirabelle_Otriple_Otriple__case(X42,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),X23),X25),X21),t_b,t_a)))
      | hBOOL(hAPP(X30,hAPP(hAPP(hAPP(X42,X23),X25),X21))) ),
    inference(fof_simplification,[status(thm)],[c_0_16]) ).

fof(c_0_301_302,plain,
    ! [X32,X33,X30,X28,X3] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X28,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X30),hAPP(c_Com_Ocom_OBODY,X32)),X33),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)),tc_Hoare__Mirabelle_Otriple(X3)),X3)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X28,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X30),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X32))),X33),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)),tc_Hoare__Mirabelle_Otriple(X3)),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_17]) ).

fof(c_0_302_303,plain,
    ! [X12,X40,X46,X13,X3] :
      ( hAPP(X12,X46) = X40
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X46),c_Set_Ovimage(X12,c_Set_Oinsert(X40,c_Orderings_Obot__class_Obot(tc_fun(X13,tc_bool)),X13),X3,X13))) ),
    inference(fof_simplification,[status(thm)],[c_0_18]) ).

fof(c_0_303_304,plain,
    ! [X19,X33,X30] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),X30),X19),X33),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
      | ~ c_Hoare__Mirabelle_Ohoare__valids(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),X30),X19),X33),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(X19),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
    inference(fof_simplification,[status(thm)],[c_0_19]) ).

fof(c_0_304_305,plain,
    ! [X12,X46,X15,X13,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X46),X15))
      | ~ hBOOL(hAPP(hAPP(c_in(X13),hAPP(X12,X46)),c_Set_Oimage(X12,X15,X3,X13)))
      | ~ c_Fun_Oinj__on(X12,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_20]) ).

fof(c_0_305_306,plain,
    ! [X12,X14,X15,X13,X3] :
      ( c_lessequals(X15,X14,tc_fun(X3,tc_bool))
      | ~ c_lessequals(c_Set_Oimage(X12,X15,X3,X13),c_Set_Oimage(X12,X14,X3,X13),tc_fun(X13,tc_bool))
      | ~ c_Fun_Oinj__on(X12,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_21]) ).

fof(c_0_306_307,plain,
    ! [X12,X48,X14,X15,X13,X3] :
      ( c_Set_Oimage(X12,c_HOL_Ominus__class_Ominus(X15,X14,tc_fun(X3,tc_bool)),X3,X13) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X12,X15,X3,X13),c_Set_Oimage(X12,X14,X3,X13),tc_fun(X13,tc_bool))
      | ~ c_lessequals(X14,X48,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X48,tc_fun(X3,tc_bool))
      | ~ c_Fun_Oinj__on(X12,X48,X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_22]) ).

fof(c_0_307_308,plain,
    ! [X17,X18,X39,X37,X40] :
      ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X39),X18),X17))
      | hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X37),X18),X17))
      | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(X40,X37,X39)),X18),X17)) ),
    inference(fof_simplification,[status(thm)],[c_0_23]) ).

fof(c_0_308_309,plain,
    ! [X12,X14,X15,X13,X3] :
      ( c_lessequals(c_Set_Ovimage(X12,X14,X3,X13),X15,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X14,c_Set_Oimage(X12,X15,X3,X13),tc_fun(X13,tc_bool))
      | ~ c_Fun_Oinj__on(X12,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_24]) ).

fof(c_0_309_310,plain,
    ! [X12,X14,X15,X13,X3] :
      ( c_Set_Oimage(X12,c_HOL_Ominus__class_Ominus(X15,X14,tc_fun(X3,tc_bool)),X3,X13) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X12,X15,X3,X13),c_Set_Oimage(X12,X14,X3,X13),tc_fun(X13,tc_bool))
      | ~ c_Fun_Oinj__on(X12,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_25]) ).

fof(c_0_310_311,plain,
    ! [X12,X46,X14,X13,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X13),hAPP(X12,X46)),X14))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X46),c_Set_Ovimage(X12,X14,X3,X13))) ),
    inference(fof_simplification,[status(thm)],[c_0_26]) ).

fof(c_0_311_312,plain,
    ! [X12,X46,X15,X13,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X13),hAPP(X12,X46)),X15))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X46),c_Set_Ovimage(X12,X15,X3,X13))) ),
    inference(fof_simplification,[status(thm)],[c_0_27]) ).

fof(c_0_312_313,plain,
    ! [X17,X18,X39,X37,X40] :
      ( ~ hBOOL(hAPP(X40,X18))
      | hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X37),X18),X17))
      | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(X40,X37,X39)),X18),X17)) ),
    inference(fof_simplification,[status(thm)],[c_0_28]) ).

fof(c_0_313_314,plain,
    ! [X12,X46,X15,X13,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X13),hAPP(X12,X46)),c_Set_Oimage(X12,X15,X3,X13)))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X46),X15))
      | ~ c_Fun_Oinj__on(X12,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_29]) ).

fof(c_0_314_315,plain,
    ! [X17,X18,X39,X37,X40] :
      ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X39),X18),X17))
      | hBOOL(hAPP(X40,X18))
      | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(X40,X37,X39)),X18),X17)) ),
    inference(fof_simplification,[status(thm)],[c_0_30]) ).

fof(c_0_315_316,plain,
    ! [X32,X28] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X28,c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(hAPP(c_Com_Ocom_OBODY,X32)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(hAPP(c_Com_Ocom_OBODY,X32)),X28,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X32))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
    inference(fof_simplification,[status(thm)],[c_0_31]) ).

fof(c_0_316_317,plain,
    ! [X7,X12,X15,X13,X3] :
      ( hBOOL(hAPP(X15,hAPP(X12,X7)))
      | ~ hBOOL(hAPP(c_Set_Ovimage(X12,X15,X3,X13),X7)) ),
    inference(fof_simplification,[status(thm)],[c_0_32]) ).

fof(c_0_317_318,plain,
    ! [X12,X14,X15,X13,X3] :
      ( c_lessequals(c_Set_Oimage(X12,X15,X3,X13),c_Set_Oimage(X12,X14,X3,X13),tc_fun(X13,tc_bool))
      | ~ c_lessequals(X15,X14,tc_fun(X3,tc_bool))
      | ~ c_Fun_Oinj__on(X12,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_33]) ).

fof(c_0_318_319,plain,
    ! [X29,X31,X32] :
      ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,X32)),X31),X29))
      | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X32))),X31),X29)) ),
    inference(fof_simplification,[status(thm)],[c_0_34]) ).

fof(c_0_319_320,plain,
    ! [X12,X46,X14,X13,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X46),c_Set_Ovimage(X12,X14,X3,X13)))
      | ~ hBOOL(hAPP(hAPP(c_in(X13),hAPP(X12,X46)),X14)) ),
    inference(fof_simplification,[status(thm)],[c_0_35]) ).

fof(c_0_320_321,plain,
    ! [X12,X46,X15,X13,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X13),X46),c_Set_Ovimage(X12,X15,X13,X3)))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),hAPP(X12,X46)),X15)) ),
    inference(fof_simplification,[status(thm)],[c_0_36]) ).

fof(c_0_321_322,plain,
    ! [X12,X46,X14,X13,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X13),X46),c_Set_Ovimage(X12,X14,X13,X3)))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),hAPP(X12,X46)),X14)) ),
    inference(fof_simplification,[status(thm)],[c_0_37]) ).

fof(c_0_322_323,plain,
    ! [X12,X14,X15,X13,X3] :
      ( c_Set_Oimage(X12,X15,X3,X13) != c_Set_Oimage(X12,X14,X3,X13)
      | ~ c_Fun_Oinj__on(X12,c_Lattices_Oupper__semilattice__class_Osup(X15,X14,tc_fun(X3,tc_bool)),X3,X13)
      | X15 = X14 ),
    inference(fof_simplification,[status(thm)],[c_0_38]) ).

fof(c_0_323_324,plain,
    ! [X7,X14,X15,X3] :
      ( c_lessequals(X15,c_Set_Oinsert(X7,X14,X3),tc_fun(X3,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X7),X15))
      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X15,c_Set_Oinsert(X7,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X14,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_39]) ).

fof(c_0_324_325,plain,
    ! [X7,X14,X15,X3] :
      ( c_lessequals(X15,c_Set_Oinsert(X7,X14,X3),tc_fun(X3,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X7),X15))
      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X15,c_Set_Oinsert(X7,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X14,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_40]) ).

fof(c_0_325_326,plain,
    ! [X7,X12,X15,X68,X3] :
      ( ~ hBOOL(hAPP(hAPP(c_in(X68),X7),X15))
      | hBOOL(hAPP(hAPP(c_in(X3),hAPP(X12,X7)),c_Set_Oimage(X12,X15,X68,X3))) ),
    inference(fof_simplification,[status(thm)],[c_0_41]) ).

fof(c_0_326_327,plain,
    ! [X7,X12,X15,X13,X3] :
      ( ~ hBOOL(hAPP(hAPP(c_in(X13),X7),X15))
      | hBOOL(hAPP(hAPP(c_in(X3),hAPP(X12,X7)),c_Set_Oimage(X12,X15,X13,X3))) ),
    inference(fof_simplification,[status(thm)],[c_0_42]) ).

fof(c_0_327_328,plain,
    ! [X7,X12,X15,X13,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),hAPP(X12,X7)),c_Set_Oimage(X12,X15,X13,X3)))
      | ~ hBOOL(hAPP(hAPP(c_in(X13),X7),X15)) ),
    inference(fof_simplification,[status(thm)],[c_0_43]) ).

fof(c_0_328_329,plain,
    ! [X7,X12,X15,X13,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X13),hAPP(X12,X7)),c_Set_Oimage(X12,X15,X3,X13)))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X7),X15)) ),
    inference(fof_simplification,[status(thm)],[c_0_44]) ).

fof(c_0_329_330,plain,
    ! [X29,X18,X30] :
      ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X30))),X18),X29))
      | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,X30)),X18),X29)) ),
    inference(fof_simplification,[status(thm)],[c_0_45]) ).

fof(c_0_330_331,plain,
    ! [X29,X18,X37,X38,X40] :
      ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(X40,X38,X37)),X18),X29))
      | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X38),X18),X29))
      | ~ hBOOL(hAPP(X40,X18)) ),
    inference(fof_simplification,[status(thm)],[c_0_46]) ).

fof(c_0_331_332,plain,
    ! [X29,X18,X37,X38,X40] :
      ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(X40,X38,X37)),X18),X29))
      | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X37),X18),X29))
      | hBOOL(hAPP(X40,X18)) ),
    inference(fof_simplification,[status(thm)],[c_0_47]) ).

fof(c_0_332_333,plain,
    ! [X7,X14,X15,X3] :
      ( c_lessequals(X15,c_Set_Oinsert(X7,X14,X3),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X14,tc_fun(X3,tc_bool))
      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X15,c_Set_Oinsert(X7,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X14,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_48]) ).

fof(c_0_333_334,plain,
    ! [X32,X35,X33,X30,X3] :
      ( c_Hoare__Mirabelle_Otriple__valid(c_Suc(X35),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X30),hAPP(c_Com_Ocom_OBODY,X32)),X33),X3)
      | ~ c_Hoare__Mirabelle_Otriple__valid(X35,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X30),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X32))),X33),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_49]) ).

fof(c_0_334_335,plain,
    ! [X36,X29,X31,X19,X40] :
      ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OWhile(X40,X19)),X31),X36))
      | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OWhile(X40,X19)),X29),X36))
      | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X19),X31),X29))
      | ~ hBOOL(hAPP(X40,X31)) ),
    inference(fof_simplification,[status(thm)],[c_0_50]) ).

fof(c_0_335_336,plain,
    ! [X7,X12,X14,X15,X13,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),hAPP(X12,X7)),X14))
      | ~ hBOOL(hAPP(hAPP(c_in(X13),X7),X15))
      | ~ c_lessequals(c_Set_Oimage(X12,X15,X13,X3),X14,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_51]) ).

fof(c_0_336_337,plain,
    ! [X12,X14,X15,X13,X3] :
      ( c_Set_Oimage(X12,X15,X3,X13) != c_Set_Oimage(X12,X14,X3,X13)
      | ~ c_Fun_Oinj__on(X12,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X13)
      | X15 = X14 ),
    inference(fof_simplification,[status(thm)],[c_0_52]) ).

fof(c_0_337_338,plain,
    ! [X29,X18,X35,X30] :
      ( c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X30)),X18,c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(X30,X35,X18,X29),X29)
      | ~ c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X30),X18,X35,X29) ),
    inference(fof_simplification,[status(thm)],[c_0_53]) ).

fof(c_0_338_339,plain,
    ! [X12,X15,X13,X3] :
      ( c_Set_Ovimage(X12,c_Set_Oimage(X12,X15,X3,X13),X3,X13) = X15
      | ~ c_Fun_Oinj__on(X12,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_54]) ).

fof(c_0_339_340,plain,
    ! [X32,X35,X33,X30,X3] :
      ( c_Hoare__Mirabelle_Otriple__valid(X35,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X30),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X32))),X33),X3)
      | ~ c_Hoare__Mirabelle_Otriple__valid(c_Suc(X35),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X30),hAPP(c_Com_Ocom_OBODY,X32)),X33),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_55]) ).

fof(c_0_340_341,plain,
    ! [X12,X14,X15,X13,X3] :
      ( c_lessequals(c_Set_Ovimage(X12,X15,X13,X3),c_Set_Ovimage(X12,X14,X13,X3),tc_fun(X13,tc_bool))
      | ~ c_lessequals(X15,X14,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_56]) ).

fof(c_0_341_342,plain,
    ! [X7,X12,X15,X13,X3] :
      ( ~ c_lessequals(X7,X15,tc_fun(X13,tc_bool))
      | c_lessequals(c_Set_Oimage(X12,X7,X13,X3),c_Set_Oimage(X12,X15,X13,X3),tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_57]) ).

fof(c_0_342_343,plain,
    ! [X12,X14,X15,X13,X3] :
      ( c_lessequals(c_Set_Oimage(X12,X15,X3,X13),c_Set_Oimage(X12,X14,X3,X13),tc_fun(X13,tc_bool))
      | ~ c_lessequals(X15,X14,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_58]) ).

fof(c_0_343_344,plain,
    ! [X7,X12,X15,X13,X3] :
      ( hBOOL(hAPP(c_Set_Ovimage(X12,X15,X3,X13),X7))
      | ~ hBOOL(hAPP(X15,hAPP(X12,X7))) ),
    inference(fof_simplification,[status(thm)],[c_0_59]) ).

fof(c_0_344_345,plain,
    ! [X36,X29,X31,X35,X19,X40] :
      ( c_Natural_Oevaln(c_Com_Ocom_OWhile(X40,X19),X31,X35,X36)
      | ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(X40,X19),X29,X35,X36)
      | ~ c_Natural_Oevaln(X19,X31,X35,X29)
      | ~ hBOOL(hAPP(X40,X31)) ),
    inference(fof_simplification,[status(thm)],[c_0_60]) ).

fof(c_0_345_346,plain,
    ! [X7,X14,X15,X3] :
      ( c_lessequals(c_HOL_Ominus__class_Ominus(X15,c_Set_Oinsert(X7,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X14,tc_fun(X3,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X7),X15))
      | ~ c_lessequals(X15,c_Set_Oinsert(X7,X14,X3),tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_61]) ).

fof(c_0_346_347,plain,
    ! [X17,X18,X35,X39,X37,X40] :
      ( c_Natural_Oevaln(X39,X18,X35,X17)
      | c_Natural_Oevaln(X37,X18,X35,X17)
      | ~ c_Natural_Oevaln(c_Com_Ocom_OCond(X40,X37,X39),X18,X35,X17) ),
    inference(fof_simplification,[status(thm)],[c_0_62]) ).

fof(c_0_347_348,plain,
    ! [X36,X29,X31,X35,X37,X38] :
      ( c_Natural_Oevaln(c_Com_Ocom_OSemi(X38,X37),X31,X35,X36)
      | ~ c_Natural_Oevaln(X37,X29,X35,X36)
      | ~ c_Natural_Oevaln(X38,X31,X35,X29) ),
    inference(fof_simplification,[status(thm)],[c_0_63]) ).

fof(c_0_348_349,plain,
    ! [X64,X18,X35,X19,X65,X33,X30] :
      ( hBOOL(hAPP(hAPP(X33,X65),X64))
      | ~ c_Natural_Oevaln(X19,X18,X35,X64)
      | ~ hBOOL(hAPP(hAPP(X30,X65),X18))
      | ~ c_Hoare__Mirabelle_Otriple__valid(X35,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X30),X19),X33),t_a) ),
    inference(fof_simplification,[status(thm)],[c_0_64]) ).

fof(c_0_349_350,plain,
    ! [X7,X12,X15,X13,X3] :
      ( c_Set_Oinsert(hAPP(X12,X7),c_Set_Oimage(X12,X15,X3,X13),X13) = c_Set_Oimage(X12,X15,X3,X13)
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X7),X15)) ),
    inference(fof_simplification,[status(thm)],[c_0_65]) ).

fof(c_0_350_351,plain,
    ! [X36,X29,X31,X37,X38] :
      ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OSemi(X38,X37)),X31),X36))
      | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X37),X29),X36))
      | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X38),X31),X29)) ),
    inference(fof_simplification,[status(thm)],[c_0_66]) ).

fof(c_0_351_352,plain,
    ! [X29,X18,X35,X30] :
      ( X35 = c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(X30,X35,X18,X29))
      | ~ c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X30),X18,X35,X29) ),
    inference(fof_simplification,[status(thm)],[c_0_67]) ).

fof(c_0_352_353,plain,
    ! [X12,X14,X15,X13,X3] :
      ( c_Fun_Oinj__on(X12,X14,X3,X13)
      | ~ c_Fun_Oinj__on(X12,c_Lattices_Oupper__semilattice__class_Osup(X15,X14,tc_fun(X3,tc_bool)),X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_68]) ).

fof(c_0_353_354,plain,
    ! [X12,X14,X15,X13,X3] :
      ( c_Fun_Oinj__on(X12,X15,X3,X13)
      | ~ c_Fun_Oinj__on(X12,c_Lattices_Oupper__semilattice__class_Osup(X15,X14,tc_fun(X3,tc_bool)),X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_69]) ).

fof(c_0_354_355,plain,
    ! [X19,X14,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X19),X14))
      | hBOOL(hAPP(hAPP(c_in(X3),X19),X15))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X19),c_Lattices_Oupper__semilattice__class_Osup(X15,X14,tc_fun(X3,tc_bool)))) ),
    inference(fof_simplification,[status(thm)],[c_0_70]) ).

fof(c_0_355_356,plain,
    ! [X17,X18,X35,X39,X37,X40] :
      ( ~ hBOOL(hAPP(X40,X18))
      | c_Natural_Oevaln(X37,X18,X35,X17)
      | ~ c_Natural_Oevaln(c_Com_Ocom_OCond(X40,X37,X39),X18,X35,X17) ),
    inference(fof_simplification,[status(thm)],[c_0_71]) ).

fof(c_0_356_357,axiom,
    ! [X57,X19,X40,X46,X3] :
      ( c_Set_Oinsert(X46,c_Set_Oinsert(X40,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X19,c_Set_Oinsert(X57,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)
      | X46 = X57
      | X46 = X19 ),
    c_0_72 ).

fof(c_0_357_358,axiom,
    ! [X57,X19,X40,X46,X3] :
      ( c_Set_Oinsert(X46,c_Set_Oinsert(X40,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X19,c_Set_Oinsert(X57,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)
      | X40 = X19
      | X46 = X19 ),
    c_0_73 ).

fof(c_0_358_359,axiom,
    ! [X57,X19,X40,X46,X3] :
      ( c_Set_Oinsert(X46,c_Set_Oinsert(X40,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X19,c_Set_Oinsert(X57,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)
      | X46 = X57
      | X40 = X57 ),
    c_0_74 ).

fof(c_0_359_360,axiom,
    ! [X57,X19,X40,X46,X3] :
      ( c_Set_Oinsert(X46,c_Set_Oinsert(X40,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X19,c_Set_Oinsert(X57,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)
      | X40 = X19
      | X40 = X57 ),
    c_0_75 ).

fof(c_0_360_361,plain,
    ! [X17,X18,X35,X39,X37,X40] :
      ( c_Natural_Oevaln(X39,X18,X35,X17)
      | hBOOL(hAPP(X40,X18))
      | ~ c_Natural_Oevaln(c_Com_Ocom_OCond(X40,X37,X39),X18,X35,X17) ),
    inference(fof_simplification,[status(thm)],[c_0_76]) ).

fof(c_0_361_362,plain,
    ! [X40,X46,X3] :
      ( X40 = X46
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X40),c_Set_Oinsert(X46,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3))) ),
    inference(fof_simplification,[status(thm)],[c_0_77]) ).

fof(c_0_362_363,plain,
    ! [X19,X14,X15,X3] :
      ( ~ hBOOL(hAPP(hAPP(c_in(X3),X19),X14))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X19),c_HOL_Ominus__class_Ominus(X15,X14,tc_fun(X3,tc_bool)))) ),
    inference(fof_simplification,[status(thm)],[c_0_78]) ).

fof(c_0_363_364,plain,
    ! [X12,X46,X15,X13,X3] :
      ( c_Fun_Oinj__on(X12,X15,X3,X13)
      | ~ c_Fun_Oinj__on(X12,c_Set_Oinsert(X46,X15,X3),X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_79]) ).

fof(c_0_364_365,plain,
    ! [X46,X15,X3] :
      ( c_Set_Oinsert(X46,c_HOL_Ominus__class_Ominus(X15,c_Set_Oinsert(X46,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = X15
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X46),X15)) ),
    inference(fof_simplification,[status(thm)],[c_0_80]) ).

fof(c_0_365_366,plain,
    ! [X29,X18,X35,X37,X38,X40] :
      ( c_Natural_Oevaln(c_Com_Ocom_OCond(X40,X38,X37),X18,X35,X29)
      | ~ c_Natural_Oevaln(X38,X18,X35,X29)
      | ~ hBOOL(hAPP(X40,X18)) ),
    inference(fof_simplification,[status(thm)],[c_0_81]) ).

fof(c_0_366_367,plain,
    ! [X12,X14,X15,X13,X3] :
      ( c_Fun_Oinj__on(X12,c_HOL_Ominus__class_Ominus(X15,X14,tc_fun(X3,tc_bool)),X3,X13)
      | ~ c_Fun_Oinj__on(X12,X15,X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_82]) ).

fof(c_0_367_368,plain,
    ! [X29,X31,X32,X35] :
      ( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X32),X31,c_Suc(X35),X29)
      | ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X32)),X31,X35,X29) ),
    inference(fof_simplification,[status(thm)],[c_0_83]) ).

fof(c_0_368_369,plain,
    ! [X29,X18,X35,X37,X38,X40] :
      ( c_Natural_Oevaln(c_Com_Ocom_OCond(X40,X38,X37),X18,X35,X29)
      | ~ c_Natural_Oevaln(X37,X18,X35,X29)
      | hBOOL(hAPP(X40,X18)) ),
    inference(fof_simplification,[status(thm)],[c_0_84]) ).

fof(c_0_369_370,plain,
    ! [X26,X17,X28,X3] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X28,c_Set_Oinsert(X17,X26,tc_Hoare__Mirabelle_Otriple(X3)),X3)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X28,X26,X3)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X28,c_Set_Oinsert(X17,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)),tc_Hoare__Mirabelle_Otriple(X3)),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_85]) ).

fof(c_0_370_371,plain,
    ! [X6,X7,X12,X15,X13,X3] :
      ( hAPP(X12,X7) != hAPP(X12,X6)
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X7),X15))
      | X7 = X6
      | ~ c_Fun_Oinj__on(X12,X15,X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_86]) ).

fof(c_0_371_372,plain,
    ! [X6,X7,X12,X15,X13,X3] :
      ( hAPP(X12,X7) != hAPP(X12,X6)
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X7),X15))
      | ~ c_Fun_Oinj__on(X12,X15,X3,X13)
      | X7 = X6 ),
    inference(fof_simplification,[status(thm)],[c_0_87]) ).

fof(c_0_372_373,plain,
    ! [X45,X7,X12,X15,X13,X3] :
      ( hAPP(X12,X7) != hAPP(X12,X45)
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X45),X15))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X7),X15))
      | ~ c_Fun_Oinj__on(X12,X15,X3,X13)
      | X7 = X45 ),
    inference(fof_simplification,[status(thm)],[c_0_88]) ).

fof(c_0_373_374,plain,
    ! [X6,X7,X12,X15,X13,X3] :
      ( hAPP(X12,X7) != hAPP(X12,X6)
      | ~ c_Fun_Oinj__on(X12,X15,X3,X13)
      | X7 = X6
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X15))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X7),X15)) ),
    inference(fof_simplification,[status(thm)],[c_0_89]) ).

fof(c_0_374_375,plain,
    ! [X12,X14,X15,X13,X3] :
      ( c_Fun_Oinj__on(X12,X15,X3,X13)
      | ~ c_lessequals(X15,X14,tc_fun(X3,tc_bool))
      | ~ c_Fun_Oinj__on(X12,X14,X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_90]) ).

fof(c_0_375_376,plain,
    ! [X19,X14,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X19),X15))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X19),c_HOL_Ominus__class_Ominus(X15,X14,tc_fun(X3,tc_bool)))) ),
    inference(fof_simplification,[status(thm)],[c_0_91]) ).

fof(c_0_376_377,plain,
    ! [X19,X14,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X19),c_HOL_Ominus__class_Ominus(X15,X14,tc_fun(X3,tc_bool))))
      | hBOOL(hAPP(hAPP(c_in(X3),X19),X14))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X19),X15)) ),
    inference(fof_simplification,[status(thm)],[c_0_92]) ).

fof(c_0_377_378,plain,
    ! [X19,X14,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X19),c_HOL_Ominus__class_Ominus(X15,X14,tc_fun(X3,tc_bool))))
      | hBOOL(hAPP(hAPP(c_in(X3),X19),X14))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X19),X15)) ),
    inference(fof_simplification,[status(thm)],[c_0_93]) ).

fof(c_0_378_379,plain,
    ! [X64,X18,X35,X19] :
      ( c_Natural_Oevaln(X19,X18,c_Suc(X35),X64)
      | ~ c_Natural_Oevaln(X19,X18,X35,X64) ),
    inference(fof_simplification,[status(thm)],[c_0_94]) ).

fof(c_0_379_380,plain,
    ! [X17,X18,X19,X40] :
      ( hBOOL(hAPP(X40,X18))
      | X17 = X18
      | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OWhile(X40,X19)),X18),X17)) ),
    inference(fof_simplification,[status(thm)],[c_0_95]) ).

fof(c_0_380_381,plain,
    ! [X47,X48,X14,X15,X3] :
      ( c_lessequals(c_HOL_Ominus__class_Ominus(X15,X14,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X48,X47,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X47,X14,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X48,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_96]) ).

fof(c_0_381_382,plain,
    ! [X47,X48,X14,X15,X3] :
      ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X15,X14,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X48,X47,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X14,X47,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X48,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_97]) ).

fof(c_0_382_383,plain,
    ! [X40,X46,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X46),X15))
      | X46 = X40
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X46),c_Set_Oinsert(X40,X15,X3))) ),
    inference(fof_simplification,[status(thm)],[c_0_98]) ).

fof(c_0_383_384,plain,
    ! [X26,X17,X28,X3] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X28,c_Set_Oinsert(X17,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)),tc_Hoare__Mirabelle_Otriple(X3)),X3)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X28,c_Set_Oinsert(X17,X26,tc_Hoare__Mirabelle_Otriple(X3)),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_99]) ).

fof(c_0_384_385,plain,
    ! [X48,X14,X15,X3] :
      ( c_lessequals(c_HOL_Ominus__class_Ominus(X15,X14,tc_fun(X3,tc_bool)),X48,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,c_Lattices_Oupper__semilattice__class_Osup(X14,X48,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_100]) ).

fof(c_0_385_386,plain,
    ! [X48,X14,X15,X3] :
      ( c_lessequals(X15,c_Lattices_Oupper__semilattice__class_Osup(X14,X48,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X15,X14,tc_fun(X3,tc_bool)),X48,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_101]) ).

fof(c_0_386_387,plain,
    ! [X7,X15,X3] :
      ( X15 = c_Set_Oinsert(X7,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
      | X15 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,c_Set_Oinsert(X7,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_102]) ).

fof(c_0_387_388,plain,
    ! [X7,X14,X15,X3] :
      ( hBOOL(hAPP(X14,X7))
      | hBOOL(hAPP(X15,X7))
      | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X15,X14,tc_fun(X3,tc_bool)),X7)) ),
    inference(fof_simplification,[status(thm)],[c_0_103]) ).

fof(c_0_388_389,plain,
    ! [X19,X14,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X19),c_Lattices_Oupper__semilattice__class_Osup(X15,X14,tc_fun(X3,tc_bool))))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X19),X15)) ),
    inference(fof_simplification,[status(thm)],[c_0_104]) ).

fof(c_0_389_390,plain,
    ! [X19,X14,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X19),c_Lattices_Oupper__semilattice__class_Osup(X15,X14,tc_fun(X3,tc_bool))))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X19),X14)) ),
    inference(fof_simplification,[status(thm)],[c_0_105]) ).

fof(c_0_390_391,plain,
    ! [X17,X18,X35,X19] :
      ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X19),X18),X17))
      | ~ c_Natural_Oevaln(X19,X18,X35,X17) ),
    inference(fof_simplification,[status(thm)],[c_0_106]) ).

fof(c_0_391_392,plain,
    ! [X7,X17,X18,X19] :
      ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X19),X18),X17))
      | ~ c_Natural_Oevaln(X19,X18,X7,X17) ),
    inference(fof_simplification,[status(thm)],[c_0_107]) ).

fof(c_0_392_393,plain,
    ! [X16,X17,X18,X19] :
      ( X16 = X17
      | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X19),X18),X16))
      | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X19),X18),X17)) ),
    inference(fof_simplification,[status(thm)],[c_0_108]) ).

fof(c_0_393_394,plain,
    ! [X6,X7,X12,X13,X3] :
      ( hAPP(X12,X7) != hAPP(X12,X6)
      | ~ c_Fun_Oinj__on(X12,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X13)
      | X7 = X6 ),
    inference(fof_simplification,[status(thm)],[c_0_109]) ).

fof(c_0_394_395,axiom,
    ! [X7,X15,X3] :
      ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X7,X15,X3),c_Set_Oinsert(X7,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) = X15
      | hBOOL(hAPP(hAPP(c_in(X3),X7),X15)) ),
    c_0_110 ).

fof(c_0_395_396,axiom,
    ! [X7,X14,X15,X3] :
      ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X7,X15,X3),X14,tc_fun(X3,tc_bool)) = c_Set_Oinsert(X7,c_HOL_Ominus__class_Ominus(X15,X14,tc_fun(X3,tc_bool)),X3)
      | hBOOL(hAPP(hAPP(c_in(X3),X7),X14)) ),
    c_0_111 ).

fof(c_0_396_397,plain,
    ! [X40,X46,X14,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X46),c_Set_Oinsert(X40,X14,X3)))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X46),X14)) ),
    inference(fof_simplification,[status(thm)],[c_0_112]) ).

fof(c_0_397_398,plain,
    ! [X40,X46,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X46),c_Set_Oinsert(X40,X15,X3)))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X46),X15)) ),
    inference(fof_simplification,[status(thm)],[c_0_113]) ).

fof(c_0_398_399,plain,
    ! [X48,X14,X15,X3] :
      ( c_HOL_Ominus__class_Ominus(X14,c_HOL_Ominus__class_Ominus(X48,X15,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X15
      | ~ c_lessequals(X14,X48,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X14,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_114]) ).

fof(c_0_399_400,plain,
    ! [X48,X14,X15,X3] :
      ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X15,X14,tc_fun(X3,tc_bool)),X48,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X14,X48,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X48,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_115]) ).

fof(c_0_400_401,plain,
    ! [X48,X14,X15,X3] :
      ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X15,X14,tc_fun(X3,tc_bool)),X48,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X14,X48,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X48,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_116]) ).

fof(c_0_401_402,plain,
    ! [X7,X14,X15,X3] :
      ( c_lessequals(X15,X14,tc_fun(X3,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X3),X7),X15))
      | ~ c_lessequals(X15,c_Set_Oinsert(X7,X14,X3),tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_117]) ).

fof(c_0_402_403,plain,
    ! [X7,X14,X15,X3] :
      ( c_lessequals(X15,X14,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,c_Set_Oinsert(X7,X14,X3),tc_fun(X3,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X3),X7),X15)) ),
    inference(fof_simplification,[status(thm)],[c_0_118]) ).

fof(c_0_403_404,plain,
    ! [X7,X14,X15,X3] :
      ( c_lessequals(c_Set_Oinsert(X7,X15,X3),X14,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X14,tc_fun(X3,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X7),X14)) ),
    inference(fof_simplification,[status(thm)],[c_0_119]) ).

fof(c_0_404_405,plain,
    ! [X17,X18,X35,X19,X40] :
      ( hBOOL(hAPP(X40,X18))
      | X17 = X18
      | ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(X40,X19),X18,X35,X17) ),
    inference(fof_simplification,[status(thm)],[c_0_120]) ).

fof(c_0_405_406,axiom,
    ! [X12,X15,X13,X3] :
      ( c_Set_Oimage(X12,X15,X13,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | X15 = c_Orderings_Obot__class_Obot(tc_fun(X13,tc_bool)) ),
    c_0_121 ).

fof(c_0_406_407,axiom,
    ! [X12,X15,X13,X3] :
      ( c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) != c_Set_Oimage(X12,X15,X13,X3)
      | X15 = c_Orderings_Obot__class_Obot(tc_fun(X13,tc_bool)) ),
    c_0_122 ).

fof(c_0_407_408,plain,
    ! [X48,X14,X15,X3] :
      ( c_lessequals(X14,X48,tc_fun(X3,tc_bool))
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X15,X14,tc_fun(X3,tc_bool)),X48,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_123]) ).

fof(c_0_408_409,plain,
    ! [X48,X14,X15,X3] :
      ( c_lessequals(X15,X48,tc_fun(X3,tc_bool))
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X15,X14,tc_fun(X3,tc_bool)),X48,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_124]) ).

fof(c_0_409_410,plain,
    ! [X7,X14,X15,X3] :
      ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X7,X15,X3),X14,tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(X15,X14,tc_fun(X3,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X7),X14)) ),
    inference(fof_simplification,[status(thm)],[c_0_125]) ).

fof(c_0_410_411,plain,
    ! [X6,X7,X15,X3] :
      ( hBOOL(hAPP(X15,X7))
      | X6 = X7
      | ~ hBOOL(hAPP(c_Set_Oinsert(X6,X15,X3),X7)) ),
    inference(fof_simplification,[status(thm)],[c_0_126]) ).

fof(c_0_411_412,plain,
    ! [X7,X14,X15,X3] :
      ( c_lessequals(X15,c_Set_Oinsert(X7,X14,X3),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X14,tc_fun(X3,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X3),X7),X15)) ),
    inference(fof_simplification,[status(thm)],[c_0_127]) ).

fof(c_0_412_413,plain,
    ! [X7,X14,X15,X3] :
      ( c_lessequals(X15,c_Set_Oinsert(X7,X14,X3),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X14,tc_fun(X3,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X3),X7),X15)) ),
    inference(fof_simplification,[status(thm)],[c_0_128]) ).

fof(c_0_413_414,plain,
    ! [X46,X47,X48,X3] :
      ( c_lessequals(c_Set_Oinsert(X46,X48,X3),c_Set_Oinsert(X46,X47,X3),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X48,X47,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_129]) ).

fof(c_0_414_415,axiom,
    ! [X18,X19,X40] :
      ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OWhile(X40,X19)),X18),X18))
      | hBOOL(hAPP(X40,X18)) ),
    c_0_130 ).

fof(c_0_415_416,plain,
    ! [X7,X14,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X7),X14))
      | ~ c_lessequals(c_Set_Oinsert(X7,X15,X3),X14,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_131]) ).

fof(c_0_416_417,plain,
    ! [X7,X14,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X7),X14))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X7),X15))
      | ~ c_lessequals(X15,X14,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_132]) ).

fof(c_0_417_418,plain,
    ! [X19,X14,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X19),X14))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X19),X15))
      | ~ c_lessequals(X15,X14,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_133]) ).

fof(c_0_418_419,plain,
    ! [X7,X14,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X7),X14))
      | ~ c_lessequals(X15,X14,tc_fun(X3,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X7),X15)) ),
    inference(fof_simplification,[status(thm)],[c_0_134]) ).

fof(c_0_419_420,plain,
    ! [X17,X14,X15,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X17),X14))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X17),X15))
      | ~ c_lessequals(X15,X14,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_135]) ).

fof(c_0_420_421,plain,
    ! [X17,X18,X35] :
      ( X17 = X18
      | ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,X18,X35,X17) ),
    inference(fof_simplification,[status(thm)],[c_0_136]) ).

fof(c_0_421_422,axiom,
    ! [X7,X14,X15,X3] :
      ( c_Set_Oinsert(X7,X15,X3) != c_Set_Oinsert(X7,X14,X3)
      | hBOOL(hAPP(hAPP(c_in(X3),X7),X14))
      | hBOOL(hAPP(hAPP(c_in(X3),X7),X15))
      | X15 = X14 ),
    c_0_137 ).

fof(c_0_422_423,plain,
    ! [X7,X14,X15,X3] :
      ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X15,X14,tc_fun(X3,tc_bool)),X7))
      | ~ hBOOL(hAPP(X15,X7)) ),
    inference(fof_simplification,[status(thm)],[c_0_138]) ).

fof(c_0_423_424,plain,
    ! [X7,X14,X15,X3] :
      ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X15,X14,tc_fun(X3,tc_bool)),X7))
      | ~ hBOOL(hAPP(X14,X7)) ),
    inference(fof_simplification,[status(thm)],[c_0_139]) ).

fof(c_0_424_425,plain,
    ! [X7,X30,X3] :
      ( ~ hBOOL(hAPP(X30,X7))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X7),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))) ),
    inference(fof_simplification,[status(thm)],[c_0_140]) ).

fof(c_0_425_426,plain,
    ! [X7,X14,X15,X3] :
      ( c_lessequals(X15,X14,tc_fun(X3,tc_bool))
      | ~ c_lessequals(c_Set_Oinsert(X7,X15,X3),X14,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_141]) ).

fof(c_0_426_427,axiom,
    ! [X20,X21,X22,X23,X24,X25,X3] :
      ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X23),X25),X21) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X22),X24),X20)
      | X21 = X20 ),
    c_0_142 ).

fof(c_0_427_428,axiom,
    ! [X20,X21,X22,X23,X24,X25,X3] :
      ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X23),X25),X21) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X22),X24),X20)
      | X25 = X24 ),
    c_0_143 ).

fof(c_0_428_429,axiom,
    ! [X20,X21,X22,X23,X24,X25,X3] :
      ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X23),X25),X21) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X22),X24),X20)
      | X23 = X22 ),
    c_0_144 ).

fof(c_0_429_430,plain,
    ! [X7,X30,X3] :
      ( hBOOL(hAPP(X30,X7))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X7),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))) ),
    inference(fof_simplification,[status(thm)],[c_0_145]) ).

fof(c_0_430_431,plain,
    ! [X14,X15,X3] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X15,c_HOL_Ominus__class_Ominus(X14,X15,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X14
      | ~ c_lessequals(X15,X14,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_146]) ).

fof(c_0_431_432,plain,
    ! [X7,X40,X46,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X46,X40,X3),X7,X3)
      | ~ c_lessequals(X40,X7,X3)
      | ~ c_lessequals(X46,X7,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_147]) ).

fof(c_0_432_433,plain,
    ! [X10,X6,X7,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X6,X10,X3),X7,X3)
      | ~ c_lessequals(X10,X7,X3)
      | ~ c_lessequals(X6,X7,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_148]) ).

fof(c_0_433_434,plain,
    ! [X10,X6,X7,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3),X10,X3)
      | ~ c_lessequals(X6,X10,X3)
      | ~ c_lessequals(X7,X10,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_149]) ).

fof(c_0_434_435,axiom,
    ! [X40,X46,X3] :
      ( c_Set_Oinsert(X46,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) != c_Set_Oinsert(X40,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
      | X46 = X40 ),
    c_0_150 ).

fof(c_0_435_436,plain,
    ! [X10,X6,X7,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3),X10,X3) = c_Lattices_Oupper__semilattice__class_Osup(X7,c_Lattices_Oupper__semilattice__class_Osup(X6,X10,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_151]) ).

fof(c_0_436_437,plain,
    ! [X10,X6,X7,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,c_Lattices_Oupper__semilattice__class_Osup(X6,X10,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X6,c_Lattices_Oupper__semilattice__class_Osup(X7,X10,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_152]) ).

fof(c_0_437_438,plain,
    ! [X10,X6,X7,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,c_Lattices_Oupper__semilattice__class_Osup(X6,X10,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X6,c_Lattices_Oupper__semilattice__class_Osup(X7,X10,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_153]) ).

fof(c_0_438_439,plain,
    ! [X10,X6,X7,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3),X10,X3) = c_Lattices_Oupper__semilattice__class_Osup(X7,c_Lattices_Oupper__semilattice__class_Osup(X6,X10,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_154]) ).

fof(c_0_439_440,plain,
    ! [X26,X17,X28,X3] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X28,X26,X3)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X28,c_Set_Oinsert(X17,X26,tc_Hoare__Mirabelle_Otriple(X3)),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_155]) ).

fof(c_0_440_441,plain,
    ! [X40,X46,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(X46,X40,X3)
      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X46,X40,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_156]) ).

fof(c_0_441_442,plain,
    ! [X48,X14,X15,X3] :
      ( c_lessequals(X15,X48,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X14,X48,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X14,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_157]) ).

fof(c_0_442_443,plain,
    ! [X49,X6,X50,X7,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X7,X6,X3) != c_HOL_Ominus__class_Ominus(X50,X49,X3)
      | c_lessequals(X49,X50,X3)
      | ~ c_lessequals(X6,X7,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_158]) ).

fof(c_0_443_444,plain,
    ! [X49,X6,X50,X7,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X7,X6,X3) != c_HOL_Ominus__class_Ominus(X50,X49,X3)
      | c_lessequals(X6,X7,X3)
      | ~ c_lessequals(X49,X50,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_159]) ).

fof(c_0_444_445,plain,
    ! [X7,X40,X46,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X46,X7,X3)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X46,X40,X3),X7,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_160]) ).

fof(c_0_445_446,plain,
    ! [X7,X40,X46,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X40,X7,X3)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X46,X40,X3),X7,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_161]) ).

fof(c_0_446_447,plain,
    ! [X10,X6,X7,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X7,X10,X3)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3),X10,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_162]) ).

fof(c_0_447_448,plain,
    ! [X10,X6,X7,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X6,X10,X3)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3),X10,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_163]) ).

fof(c_0_448_449,plain,
    ! [X40,X14,X15,X3] :
      ( c_lessequals(X15,c_Set_Oinsert(X40,X14,X3),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X14,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_164]) ).

fof(c_0_449_450,axiom,
    ! [X18,X35,X19,X40] :
      ( c_Natural_Oevaln(c_Com_Ocom_OWhile(X40,X19),X18,X35,X18)
      | hBOOL(hAPP(X40,X18)) ),
    c_0_165 ).

fof(c_0_450_451,plain,
    ! [X6,X7,X15,X3] :
      ( hBOOL(hAPP(c_Set_Oinsert(X6,X15,X3),X7))
      | ~ hBOOL(hAPP(X15,X7)) ),
    inference(fof_simplification,[status(thm)],[c_0_166]) ).

fof(c_0_451_452,plain,
    ! [X41,X26,X28,X3] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X28,X26,X3)
      | ~ c_lessequals(X26,X41,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool))
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X28,X41,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_167]) ).

fof(c_0_452_453,plain,
    ! [X26,X27,X28,X3] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X28,X26,X3)
      | ~ c_lessequals(X27,X28,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool))
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X27,X26,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_168]) ).

fof(c_0_453_454,plain,
    ! [X14,X15,X13] :
      ( ~ class_HOL_Ominus(X13)
      | hAPP(c_HOL_Ominus__class_Ominus(X15,X14,tc_fun(t_a,X13)),v_x) = c_HOL_Ominus__class_Ominus(hAPP(X15,v_x),hAPP(X14,v_x),X13) ),
    inference(fof_simplification,[status(thm)],[c_0_169]) ).

fof(c_0_454_455,plain,
    ! [X11,X12,X13] :
      ( ~ class_Lattices_Olattice(X13)
      | hAPP(c_Lattices_Oupper__semilattice__class_Osup(X12,X11,tc_fun(t_a,X13)),v_x) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(X12,v_x),hAPP(X11,v_x),X13) ),
    inference(fof_simplification,[status(thm)],[c_0_170]) ).

fof(c_0_455_456,plain,
    ! [X40,X46,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Ominus__class_Ominus(X46,X40,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X46,X40,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_171]) ).

fof(c_0_456_457,plain,
    ! [X17,X18] :
      ( X17 = X18
      | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OSKIP),X18),X17)) ),
    inference(fof_simplification,[status(thm)],[c_0_172]) ).

fof(c_0_457_458,plain,
    ! [X7,X40,X46,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X7,c_Lattices_Oupper__semilattice__class_Osup(X46,X40,X3),X3)
      | ~ c_lessequals(X7,X46,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_173]) ).

fof(c_0_458_459,plain,
    ! [X7,X40,X46,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X7,c_Lattices_Oupper__semilattice__class_Osup(X46,X40,X3),X3)
      | ~ c_lessequals(X7,X40,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_174]) ).

fof(c_0_459_460,plain,
    ( ~ class_Lattices_Olattice(t_b)
    | hAPP(c_Lattices_Oupper__semilattice__class_Osup(v_f,v_g,tc_fun(t_a,t_b)),v_x) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(v_f,v_x),hAPP(v_g,v_x),t_b) ),
    inference(fof_simplification,[status(thm)],[c_0_175]) ).

fof(c_0_460_461,plain,
    ! [X14,X15,X3] :
      ( X15 = X14
      | ~ c_lessequals(X14,X15,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X14,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_176]) ).

fof(c_0_461_462,plain,
    ! [X14,X15,X3] :
      ( X15 = X14
      | ~ c_lessequals(X14,X15,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,X14,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_177]) ).

fof(c_0_462_463,plain,
    ! [X7,X11,X12,X13,X3] :
      ( ~ class_HOL_Oord(X13)
      | c_lessequals(hAPP(X12,X7),hAPP(X11,X7),X13)
      | ~ c_lessequals(X12,X11,tc_fun(X3,X13)) ),
    inference(fof_simplification,[status(thm)],[c_0_178]) ).

fof(c_0_463_464,axiom,
    ! [X45,X7,X3] :
      ( c_Set_Oinsert(X7,X45,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X3),X7),X45)) ),
    c_0_179 ).

fof(c_0_464_465,plain,
    ! [X10,X6,X7,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_lessequals(X10,X7,X3)
      | ~ c_lessequals(X10,X6,X3)
      | ~ c_lessequals(X6,X7,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_180]) ).

fof(c_0_465_466,plain,
    ! [X10,X6,X7,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_lessequals(X7,X10,X3)
      | ~ c_lessequals(X6,X10,X3)
      | ~ c_lessequals(X7,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_181]) ).

fof(c_0_466_467,plain,
    ! [X15,X3] :
      ( X15 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | ~ c_lessequals(X15,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_182]) ).

fof(c_0_467_468,plain,
    ! [X26,X27,X28,X3] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X28,X26,X3)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X28,X27,X3)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X27,X26,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_183]) ).

fof(c_0_468_469,plain,
    ! [X46,X15,X3] :
      ( c_Set_Oinsert(X46,X15,X3) = X15
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X46),X15)) ),
    inference(fof_simplification,[status(thm)],[c_0_184]) ).

fof(c_0_469_470,plain,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_185]) ).

fof(c_0_470_471,plain,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_186]) ).

fof(c_0_471_472,plain,
    ! [X46,X2,X30] :
      ( c_Com_OWT(hAPP(c_Com_Ocom_OBODY,X30))
      | ~ c_Com_OWT(c_Com_Ocom_OCall(X2,X30,X46)) ),
    inference(fof_simplification,[status(thm)],[c_0_187]) ).

fof(c_0_472_473,axiom,
    ! [X14,X15,X3] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X15,X14,tc_fun(X3,tc_bool)) != X14
      | c_lessequals(X15,X14,tc_fun(X3,tc_bool)) ),
    c_0_188 ).

fof(c_0_473_474,plain,
    ! [X14,X15,X3] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X15,X14,tc_fun(X3,tc_bool)) = X15
      | ~ c_lessequals(X14,X15,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_189]) ).

fof(c_0_474_475,plain,
    ! [X14,X15,X3] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X15,X14,tc_fun(X3,tc_bool)) = X14
      | ~ c_lessequals(X15,X14,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_190]) ).

fof(c_0_475_476,plain,
    ! [X7,X33,X30,X3] :
      ( hBOOL(hAPP(X33,X7))
      | ~ hBOOL(hAPP(X30,X7))
      | ~ c_lessequals(X30,X33,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_191]) ).

fof(c_0_476_477,plain,
    ! [X7,X33,X30,X3] :
      ( hBOOL(hAPP(X33,X7))
      | ~ c_lessequals(X30,X33,tc_fun(X3,tc_bool))
      | ~ hBOOL(hAPP(X30,X7)) ),
    inference(fof_simplification,[status(thm)],[c_0_192]) ).

fof(c_0_477_478,plain,
    ! [X7,X66,X3] :
      ( hBOOL(hAPP(X66,X7))
      | ~ hBOOL(hAPP(hAPP(c_in(X3),X7),X66)) ),
    inference(fof_simplification,[status(thm)],[c_0_193]) ).

fof(c_0_478_479,plain,
    ! [X26,X28,X3] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X28,X26,X3)
      | ~ c_lessequals(X26,X28,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_194]) ).

fof(c_0_479_480,axiom,
    ! [X14,X15,X3] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X15,X14,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | X14 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    c_0_195 ).

fof(c_0_480_481,axiom,
    ! [X14,X15,X3] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X15,X14,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | X15 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    c_0_196 ).

fof(c_0_481_482,plain,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | X7 = X6
      | ~ c_lessequals(X6,X7,X3)
      | ~ c_lessequals(X7,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_197]) ).

fof(c_0_482_483,plain,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | X7 = X6
      | ~ c_lessequals(X6,X7,X3)
      | ~ c_lessequals(X7,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_198]) ).

fof(c_0_483_484,plain,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | X7 = X6
      | ~ c_lessequals(X7,X6,X3)
      | ~ c_lessequals(X6,X7,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_199]) ).

fof(c_0_484_485,plain,
    ! [X6,X45,X7,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X45,X6,X3) != c_HOL_Ominus__class_Ominus(X7,X7,X3)
      | X45 = X6 ),
    inference(fof_simplification,[status(thm)],[c_0_200]) ).

fof(c_0_485_486,plain,
    ! [X49,X50,X7,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X7,X7,X3) != c_HOL_Ominus__class_Ominus(X50,X49,X3)
      | X50 = X49 ),
    inference(fof_simplification,[status(thm)],[c_0_201]) ).

fof(c_0_486_487,plain,
    ! [X19,X46,X1] :
      ( c_Com_OWT(X19)
      | ~ c_Com_OWT(c_Com_Ocom_OLocal(X1,X46,X19)) ),
    inference(fof_simplification,[status(thm)],[c_0_202]) ).

fof(c_0_487_488,plain,
    ! [X39,X37,X40] :
      ( c_Com_OWT(X39)
      | ~ c_Com_OWT(c_Com_Ocom_OCond(X40,X37,X39)) ),
    inference(fof_simplification,[status(thm)],[c_0_203]) ).

fof(c_0_488_489,plain,
    ! [X39,X37,X40] :
      ( c_Com_OWT(X37)
      | ~ c_Com_OWT(c_Com_Ocom_OCond(X40,X37,X39)) ),
    inference(fof_simplification,[status(thm)],[c_0_204]) ).

fof(c_0_489_490,axiom,
    ! [X62,X63,X8,X9,X60,X61] :
      ( c_Com_Ocom_OCall(X63,X9,X61) != c_Com_Ocom_OCall(X62,X8,X60)
      | X61 = X60 ),
    c_0_205 ).

fof(c_0_490_491,axiom,
    ! [X62,X63,X8,X9,X60,X61] :
      ( c_Com_Ocom_OCall(X63,X9,X61) != c_Com_Ocom_OCall(X62,X8,X60)
      | X9 = X8 ),
    c_0_206 ).

fof(c_0_491_492,axiom,
    ! [X62,X63,X8,X9,X60,X61] :
      ( c_Com_Ocom_OCall(X63,X9,X61) != c_Com_Ocom_OCall(X62,X8,X60)
      | X63 = X62 ),
    c_0_207 ).

fof(c_0_492_493,axiom,
    ! [X60,X61,X72,X73,X74,X75] :
      ( c_Com_Ocom_OCond(X61,X75,X73) != c_Com_Ocom_OCond(X60,X74,X72)
      | X73 = X72 ),
    c_0_208 ).

fof(c_0_493_494,axiom,
    ! [X60,X61,X72,X73,X74,X75] :
      ( c_Com_Ocom_OCond(X61,X75,X73) != c_Com_Ocom_OCond(X60,X74,X72)
      | X75 = X74 ),
    c_0_209 ).

fof(c_0_494_495,axiom,
    ! [X60,X61,X72,X73,X74,X75] :
      ( c_Com_Ocom_OCond(X61,X75,X73) != c_Com_Ocom_OCond(X60,X74,X72)
      | X61 = X60 ),
    c_0_210 ).

fof(c_0_495_496,axiom,
    ! [X58,X59,X60,X61,X24,X25] :
      ( c_Com_Ocom_OLocal(X59,X61,X25) != c_Com_Ocom_OLocal(X58,X60,X24)
      | X25 = X24 ),
    c_0_211 ).

fof(c_0_496_497,axiom,
    ! [X58,X59,X60,X61,X24,X25] :
      ( c_Com_Ocom_OLocal(X59,X61,X25) != c_Com_Ocom_OLocal(X58,X60,X24)
      | X61 = X60 ),
    c_0_212 ).

fof(c_0_497_498,axiom,
    ! [X58,X59,X60,X61,X24,X25] :
      ( c_Com_Ocom_OLocal(X59,X61,X25) != c_Com_Ocom_OLocal(X58,X60,X24)
      | X59 = X58 ),
    c_0_213 ).

fof(c_0_498_499,plain,
    ! [X1,X2,X3] :
      ( X2 = X1
      | ~ hBOOL(hAPP(hAPP(c_fequal(X3),X2),X1)) ),
    inference(fof_simplification,[status(thm)],[c_0_214]) ).

fof(c_0_499_500,plain,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X7,c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_215]) ).

fof(c_0_500_501,plain,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X6,c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_216]) ).

fof(c_0_501_502,plain,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_lessequals(X6,c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_217]) ).

fof(c_0_502_503,plain,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_lessequals(X7,c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_218]) ).

fof(c_0_503_504,plain,
    ! [X7,X66,X3] :
      ( hBOOL(hAPP(hAPP(c_in(X3),X7),X66))
      | ~ hBOOL(hAPP(X66,X7)) ),
    inference(fof_simplification,[status(thm)],[c_0_219]) ).

fof(c_0_504_505,plain,
    ! [X32,X46,X2] :
      ( c_Com_OWT(c_Com_Ocom_OCall(X2,X32,X46))
      | ~ c_Com_OWT(hAPP(c_Com_Ocom_OBODY,X32)) ),
    inference(fof_simplification,[status(thm)],[c_0_220]) ).

fof(c_0_505_506,plain,
    ! [X17,X35,X3] :
      ( c_Hoare__Mirabelle_Otriple__valid(X35,X17,X3)
      | ~ c_Hoare__Mirabelle_Otriple__valid(c_Suc(X35),X17,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_221]) ).

fof(c_0_506_507,plain,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3) != X6
      | c_lessequals(X7,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_222]) ).

fof(c_0_507_508,plain,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3) = X6
      | ~ c_lessequals(X7,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_223]) ).

fof(c_0_508_509,plain,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3) = X7
      | ~ c_lessequals(X6,X7,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_224]) ).

fof(c_0_509_510,plain,
    ! [X26,X28,X3] :
      ( c_Hoare__Mirabelle_Ohoare__valids(X28,X26,X3)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X28,X26,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_225]) ).

fof(c_0_510_511,plain,
    ! [X37,X38,X40] :
      ( c_Com_OWT(c_Com_Ocom_OCond(X40,X38,X37))
      | ~ c_Com_OWT(X37)
      | ~ c_Com_OWT(X38) ),
    inference(fof_simplification,[status(thm)],[c_0_226]) ).

fof(c_0_511_512,plain,
    ! [X46,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X46,X3) = c_HOL_Ozero__class_Ozero(X3)
      | ~ c_lessequals(X46,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_227]) ).

fof(c_0_512_513,plain,
    ! [X19,X46,X1] :
      ( c_Com_OWT(c_Com_Ocom_OLocal(X1,X46,X19))
      | ~ c_Com_OWT(X19) ),
    inference(fof_simplification,[status(thm)],[c_0_228]) ).

fof(c_0_513_514,plain,
    ! [X46,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X46,X3) = X46
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X46,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_229]) ).

fof(c_0_514_515,plain,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_lessequals(X6,X7,X3)
      | c_lessequals(X7,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_230]) ).

fof(c_0_515_516,plain,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3) = c_Lattices_Oupper__semilattice__class_Osup(X6,X7,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_231]) ).

fof(c_0_516_517,plain,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3) = c_Lattices_Oupper__semilattice__class_Osup(X6,X7,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_232]) ).

fof(c_0_517_518,plain,
    ! [X6,X7,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | ~ class_Int_Onumber__ring(X3)
      | c_HOL_Ominus__class_Ominus(X7,X6,X3) != c_HOL_Ozero__class_Ozero(X3)
      | X7 = X6 ),
    inference(fof_simplification,[status(thm)],[c_0_233]) ).

fof(c_0_518_519,plain,
    ! [X14,X15,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X15,X14,X3) != c_Orderings_Obot__class_Obot(X3)
      | X15 = c_Orderings_Obot__class_Obot(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_234]) ).

fof(c_0_519_520,plain,
    ! [X14,X15,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X15,X14,X3) != c_Orderings_Obot__class_Obot(X3)
      | X14 = c_Orderings_Obot__class_Obot(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_235]) ).

fof(c_0_520_521,plain,
    ! [X40,X46,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ominus__class_Ominus(X46,X40,X3) != c_HOL_Ozero__class_Ozero(X3)
      | X46 = X40 ),
    inference(fof_simplification,[status(thm)],[c_0_236]) ).

fof(c_0_521_522,plain,
    ! [X40,X46,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X46,X40,X3) != c_HOL_Ozero__class_Ozero(X3)
      | X46 = X40 ),
    inference(fof_simplification,[status(thm)],[c_0_237]) ).

fof(c_0_522_523,plain,
    ! [X46,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X46,X3) != c_HOL_Ozero__class_Ozero(X3)
      | c_lessequals(X46,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_238]) ).

fof(c_0_523_524,plain,
    ! [X46,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X46,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_239]) ).

fof(c_0_524_525,plain,
    ! [X46,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X46,X3) != X46
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X46,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_240]) ).

fof(c_0_525_526,plain,
    ! [X13] :
      ( ~ class_Orderings_Obot(X13)
      | hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X13)),v_x) = c_Orderings_Obot__class_Obot(X13) ),
    inference(fof_simplification,[status(thm)],[c_0_241]) ).

fof(c_0_526_527,plain,
    ! [X13] :
      ( ~ class_Orderings_Otop(X13)
      | hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,X13)),v_x) = c_Orderings_Otop__class_Otop(X13) ),
    inference(fof_simplification,[status(thm)],[c_0_242]) ).

fof(c_0_527_528,plain,
    ! [X7,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | ~ class_Int_Onumber__ring(X3)
      | c_HOL_Ominus__class_Ominus(X7,X7,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_243]) ).

fof(c_0_528_529,plain,
    ! [X7,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(X3),X7,X3) = c_Orderings_Otop__class_Otop(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_244]) ).

fof(c_0_529_530,plain,
    ! [X7,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,c_Orderings_Otop__class_Otop(X3),X3) = c_Orderings_Otop__class_Otop(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_245]) ).

fof(c_0_530_531,plain,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(t_a)
    | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(v_x,t_a) = c_Lattices_Oupper__semilattice__class_Osup(v_x,c_HOL_Ozero__class_Ozero(t_a),t_a) ),
    inference(fof_simplification,[status(thm)],[c_0_246]) ).

fof(c_0_531_532,plain,
    ! [X46,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ominus__class_Ominus(X46,c_HOL_Ozero__class_Ozero(X3),X3) = X46 ),
    inference(fof_simplification,[status(thm)],[c_0_247]) ).

fof(c_0_532_533,plain,
    ! [X7,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X3),X7,X3) = X7 ),
    inference(fof_simplification,[status(thm)],[c_0_248]) ).

fof(c_0_533_534,plain,
    ! [X7,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,c_Orderings_Obot__class_Obot(X3),X3) = X7 ),
    inference(fof_simplification,[status(thm)],[c_0_249]) ).

fof(c_0_534_535,plain,
    ! [X7,X3] :
      ( ~ class_Orderings_Obot(X3)
      | c_lessequals(c_Orderings_Obot__class_Obot(X3),X7,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_250]) ).

fof(c_0_535_536,plain,
    ! [X7,X3] :
      ( ~ class_Orderings_Otop(X3)
      | c_lessequals(X7,c_Orderings_Otop__class_Otop(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_251]) ).

fof(c_0_536_537,plain,
    ! [X7,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X7,X7,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_252]) ).

fof(c_0_537_538,plain,
    ! [X7,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ominus__class_Ominus(X7,X7,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_253]) ).

fof(c_0_538_539,plain,
    ! [X46,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ominus__class_Ominus(X46,X46,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_254]) ).

fof(c_0_539_540,plain,
    ! [X7,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,X7,X3) = X7 ),
    inference(fof_simplification,[status(thm)],[c_0_255]) ).

fof(c_0_540_541,plain,
    ! [X7,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_lessequals(X7,X7,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_256]) ).

fof(c_0_541_542,plain,
    ! [X7,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_lessequals(X7,X7,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_257]) ).

fof(c_0_542_543,plain,
    ! [X19,X40] :
      ( c_Com_OWT(X19)
      | ~ c_Com_OWT(c_Com_Ocom_OWhile(X40,X19)) ),
    inference(fof_simplification,[status(thm)],[c_0_258]) ).

fof(c_0_543_544,plain,
    ! [X39,X37] :
      ( c_Com_OWT(X39)
      | ~ c_Com_OWT(c_Com_Ocom_OSemi(X37,X39)) ),
    inference(fof_simplification,[status(thm)],[c_0_259]) ).

fof(c_0_544_545,plain,
    ! [X39,X37] :
      ( c_Com_OWT(X37)
      | ~ c_Com_OWT(c_Com_Ocom_OSemi(X37,X39)) ),
    inference(fof_simplification,[status(thm)],[c_0_260]) ).

fof(c_0_545_546,axiom,
    ! [X72,X73,X74,X75] :
      ( c_Com_Ocom_OSemi(X75,X73) != c_Com_Ocom_OSemi(X74,X72)
      | X73 = X72 ),
    c_0_261 ).

fof(c_0_546_547,axiom,
    ! [X72,X73,X74,X75] :
      ( c_Com_Ocom_OSemi(X75,X73) != c_Com_Ocom_OSemi(X74,X72)
      | X75 = X74 ),
    c_0_262 ).

fof(c_0_547_548,axiom,
    ! [X71,X46,X3] :
      ( c_Option_Ooption_OSome(X46,X3) != c_Option_Ooption_OSome(X71,X3)
      | X46 = X71 ),
    c_0_263 ).

fof(c_0_548_549,axiom,
    ! [X60,X61,X24,X25] :
      ( c_Com_Ocom_OWhile(X61,X25) != c_Com_Ocom_OWhile(X60,X24)
      | X61 = X60 ),
    c_0_264 ).

fof(c_0_549_550,axiom,
    ! [X60,X61,X24,X25] :
      ( c_Com_Ocom_OWhile(X61,X25) != c_Com_Ocom_OWhile(X60,X24)
      | X25 = X24 ),
    c_0_265 ).

fof(c_0_550_551,axiom,
    ! [X62,X63,X60,X61] :
      ( c_Com_Ocom_OAss(X63,X61) != c_Com_Ocom_OAss(X62,X60)
      | X61 = X60 ),
    c_0_266 ).

fof(c_0_551_552,axiom,
    ! [X62,X63,X60,X61] :
      ( c_Com_Ocom_OAss(X63,X61) != c_Com_Ocom_OAss(X62,X60)
      | X63 = X62 ),
    c_0_267 ).

fof(c_0_552_553,plain,
    ! [X37,X38] :
      ( c_Com_OWT(c_Com_Ocom_OSemi(X38,X37))
      | ~ c_Com_OWT(X37)
      | ~ c_Com_OWT(X38) ),
    inference(fof_simplification,[status(thm)],[c_0_268]) ).

fof(c_0_553_554,axiom,
    ! [X32] :
      ( c_Com_OWT(hAPP(c_Com_Ocom_OBODY,X32))
      | hAPP(c_Com_Obody,X32) = c_Option_Ooption_ONone(tc_Com_Ocom) ),
    c_0_269 ).

fof(c_0_554_555,axiom,
    ! [X8,X9] :
      ( hAPP(c_Com_Ocom_OBODY,X9) != hAPP(c_Com_Ocom_OBODY,X8)
      | X9 = X8 ),
    c_0_270 ).

fof(c_0_555_556,plain,
    ! [X19,X40] :
      ( c_Com_OWT(c_Com_Ocom_OWhile(X40,X19))
      | ~ c_Com_OWT(X19) ),
    inference(fof_simplification,[status(thm)],[c_0_271]) ).

fof(c_0_556_557,plain,
    ! [X4,X5] :
      ( class_Lattices_Oupper__semilattice(tc_fun(X4,X5))
      | ~ class_Lattices_Olattice(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_272]) ).

fof(c_0_557_558,plain,
    ! [X4,X5] :
      ( class_Lattices_Obounded__lattice(tc_fun(X4,X5))
      | ~ class_Lattices_Obounded__lattice(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_273]) ).

fof(c_0_558_559,plain,
    ! [X4,X5] :
      ( class_Orderings_Opreorder(tc_fun(X4,X5))
      | ~ class_Orderings_Opreorder(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_274]) ).

fof(c_0_559_560,plain,
    ! [X4,X5] :
      ( class_Lattices_Olattice(tc_fun(X4,X5))
      | ~ class_Lattices_Olattice(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_275]) ).

fof(c_0_560_561,plain,
    ! [X4,X5] :
      ( class_Orderings_Oorder(tc_fun(X4,X5))
      | ~ class_Orderings_Oorder(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_276]) ).

fof(c_0_561_562,plain,
    ! [X4,X5] :
      ( class_Orderings_Otop(tc_fun(X4,X5))
      | ~ class_Orderings_Otop(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_277]) ).

fof(c_0_562_563,plain,
    ! [X4,X5] :
      ( class_Orderings_Obot(tc_fun(X4,X5))
      | ~ class_Orderings_Obot(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_278]) ).

fof(c_0_563_564,plain,
    ! [X4,X5] :
      ( class_HOL_Ominus(tc_fun(X4,X5))
      | ~ class_HOL_Ominus(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_279]) ).

fof(c_0_564_565,plain,
    ! [X4,X5] :
      ( class_HOL_Oord(tc_fun(X4,X5))
      | ~ class_HOL_Oord(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_280]) ).

fof(c_0_565_566,plain,
    ! [X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ozero__class_Ozero(X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_281]) ).

fof(c_0_566_567,axiom,
    ! [X6,X7] :
      ( c_Suc(X7) != c_Suc(X6)
      | X7 = X6 ),
    c_0_282 ).

fof(c_0_567_568,axiom,
    ! [X69,X70] :
      ( c_Suc(X70) != c_Suc(X69)
      | X70 = X69 ),
    c_0_283 ).

fof(c_0_568_569,plain,
    ! [X35,X36,X37,X38,X39] :
      ( c_Hoare__Mirabelle_Ohoare__valids(X38,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X39),X37,tc_fun(X39,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X39,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X39))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X39,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X39))),X35,tc_Com_Opname,tc_fun(X39,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X39)),X36,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X39)),X39)
      | ~ c_Hoare__Mirabelle_Ohoare__valids(c_Lattices_Oupper__semilattice__class_Osup(X38,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X39),X37,tc_fun(X39,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X39,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X39))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X39,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X39))),X35,tc_Com_Opname,tc_fun(X39,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X39)),X36,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X39)),tc_fun(tc_Hoare__Mirabelle_Otriple(X39),tc_bool)),c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X39),X37,tc_fun(X39,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X39,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X39))),tc_Com_Opname),c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X39,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X39))),X35,tc_Com_Opname,tc_fun(X39,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X39)),X36,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X39)),X39) ),
    inference(variable_rename,[status(thm)],[c_0_284]) ).

fof(c_0_569_570,plain,
    ! [X35,X36,X37,X38,X39] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X38,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X39),X37,tc_fun(X39,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X39,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X39))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X39,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X39))),X35,tc_Com_Opname,tc_fun(X39,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X39)),X36,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X39)),X39)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(X38,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X39),X37,tc_fun(X39,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X39,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X39))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X39,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X39))),X35,tc_Com_Opname,tc_fun(X39,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X39)),X36,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X39)),tc_fun(tc_Hoare__Mirabelle_Otriple(X39),tc_bool)),c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X39),X37,tc_fun(X39,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X39,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X39))),tc_Com_Opname),c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X39,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X39))),X35,tc_Com_Opname,tc_fun(X39,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X39)),X36,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X39)),X39) ),
    inference(variable_rename,[status(thm)],[c_0_285]) ).

fof(c_0_570_571,plain,
    ! [X35,X36,X37,X38,X39,X40] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X39,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X40),hAPP(X38,X35)),hAPP(c_Com_Ocom_OBODY,X35)),hAPP(X36,X35)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X40),tc_bool)),tc_Hoare__Mirabelle_Otriple(X40)),X40)
      | ~ hBOOL(hAPP(hAPP(c_in(tc_Com_Opname),X35),X37))
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(X39,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X40),X38,tc_fun(X40,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X40,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X40))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X40,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X40))),X36,tc_Com_Opname,tc_fun(X40,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X40)),X37,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X40)),tc_fun(tc_Hoare__Mirabelle_Otriple(X40),tc_bool)),c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X40),X38,tc_fun(X40,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X40,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X40))),tc_Com_Opname),c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X40,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X40))),X36,tc_Com_Opname,tc_fun(X40,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X40)),X37,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X40)),X40) ),
    inference(variable_rename,[status(thm)],[c_0_286]) ).

fof(c_0_571_572,plain,
    ! [X68,X69,X70] :
      ( c_lessequals(X69,X68,tc_fun(X70,tc_bool))
      | ~ c_lessequals(c_COMBC(c_in(X70),X69,X70,tc_fun(X70,tc_bool),tc_bool),c_COMBC(c_in(X70),X68,X70,tc_fun(X70,tc_bool),tc_bool),tc_fun(X70,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_287]) ).

fof(c_0_572_573,plain,
    ! [X47,X48,X49,X50,X51] :
      ( ~ hBOOL(hAPP(hAPP(c_in(X50),hAPP(X47,X48)),c_Set_Oimage(X47,c_HOL_Ominus__class_Ominus(X49,c_Set_Oinsert(X48,c_Orderings_Obot__class_Obot(tc_fun(X51,tc_bool)),X51),tc_fun(X51,tc_bool)),X51,X50)))
      | ~ c_Fun_Oinj__on(X47,c_Set_Oinsert(X48,X49,X51),X51,X50) ),
    inference(variable_rename,[status(thm)],[c_0_288]) ).

fof(c_0_573_574,plain,
    ! [X68,X69,X70] :
      ( c_lessequals(c_COMBC(c_in(X70),X69,X70,tc_fun(X70,tc_bool),tc_bool),c_COMBC(c_in(X70),X68,X70,tc_fun(X70,tc_bool),tc_bool),tc_fun(X70,tc_bool))
      | ~ c_lessequals(X69,X68,tc_fun(X70,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_289]) ).

fof(c_0_574_575,plain,
    ! [X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66] :
      ( hAPP(X61,hAPP(X59,X57)) != hAPP(X60,hAPP(X58,X56))
      | hAPP(c_Fun_Ocomp(X61,X59,X65,X66,X64),X57) = hAPP(c_Fun_Ocomp(X60,X58,X63,X66,X62),X56) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_290])])]) ).

fof(c_0_575_576,plain,
    ! [X56,X57,X58,X59,X60,X61] :
      ( c_Fun_Oinj__on(X56,c_Set_Oimage(X57,X58,X61,X59),X59,X60)
      | ~ c_Fun_Oinj__on(c_Fun_Ocomp(X56,X57,X59,X60,X61),X58,X61,X60) ),
    inference(variable_rename,[status(thm)],[c_0_291]) ).

fof(c_0_576_577,plain,
    ! [X34,X35,X36,X37,X38] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X37,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X38),X36),hAPP(c_Com_Ocom_OBODY,X34)),X35),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X38),tc_bool)),tc_Hoare__Mirabelle_Otriple(X38)),X38)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X38),X36),hAPP(c_Com_Ocom_OBODY,X34)),X35),X37,tc_Hoare__Mirabelle_Otriple(X38)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X38),X36),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X34))),X35),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X38),tc_bool)),tc_Hoare__Mirabelle_Otriple(X38)),X38) ),
    inference(variable_rename,[status(thm)],[c_0_292]) ).

fof(c_0_577_578,plain,
    ! [X47,X48,X49,X50,X51] :
      ( c_Fun_Oinj__on(X47,c_Set_Oinsert(X48,X49,X51),X51,X50)
      | hBOOL(hAPP(hAPP(c_in(X50),hAPP(X47,X48)),c_Set_Oimage(X47,c_HOL_Ominus__class_Ominus(X49,c_Set_Oinsert(X48,c_Orderings_Obot__class_Obot(tc_fun(X51,tc_bool)),X51),tc_fun(X51,tc_bool)),X51,X50)))
      | ~ c_Fun_Oinj__on(X47,X49,X51,X50) ),
    inference(variable_rename,[status(thm)],[c_0_293]) ).

fof(c_0_578_579,plain,
    ! [X56,X57,X58,X59,X60,X61] :
      ( c_Fun_Oinj__on(c_Fun_Ocomp(X56,X57,X60,X59,X61),X58,X61,X59)
      | ~ c_Fun_Oinj__on(X56,c_Set_Oimage(X57,X58,X61,X60),X60,X59)
      | ~ c_Fun_Oinj__on(X57,X58,X61,X60) ),
    inference(variable_rename,[status(thm)],[c_0_294]) ).

fof(c_0_579_580,plain,
    ! [X68,X69,X70] :
      ( c_COMBC(c_in(X70),X69,X70,tc_fun(X70,tc_bool),tc_bool) != c_COMBC(c_in(X70),X68,X70,tc_fun(X70,tc_bool),tc_bool)
      | X69 = X68 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_295])])]) ).

fof(c_0_580_581,plain,
    ! [X58,X59,X60,X61,X62,X63,X64,X65,X66] :
      ( c_Fun_Ocomp(X62,X61,X64,X65,X66) != c_Fun_Ocomp(X60,X59,X63,X65,X66)
      | hAPP(X62,hAPP(X61,X58)) = hAPP(X60,hAPP(X59,X58)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_296])])]) ).

fof(c_0_581_582,plain,
    ! [X57,X58,X59,X60,X61,X62,X63] :
      ( c_Fun_Ocomp(X60,X59,X61,X62,X63) != c_Fun_Ocomp(c_Fun_Oid(X62),X58,X62,X62,X63)
      | hAPP(X60,hAPP(X59,X57)) = hAPP(X58,X57) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_297])])]) ).

fof(c_0_582_583,plain,
    ! [X68,X69,X70,X71,X72,X73,X74] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X73,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X74),X72),c_Com_Ocom_OSemi(X69,X68)),X70),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X74),tc_bool)),tc_Hoare__Mirabelle_Otriple(X74)),X74)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X73,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X74),X71),X68),X70),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X74),tc_bool)),tc_Hoare__Mirabelle_Otriple(X74)),X74)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X73,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X74),X72),X69),X71),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X74),tc_bool)),tc_Hoare__Mirabelle_Otriple(X74)),X74) ),
    inference(variable_rename,[status(thm)],[c_0_298]) ).

fof(c_0_583_584,plain,
    ! [X46,X47,X48,X49,X50] :
      ( ~ hBOOL(hAPP(X50,c_Hoare__Mirabelle_Otriple_Otriple__case(X49,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),X48),X47),X46),t_b,t_a)))
      | hBOOL(hAPP(X50,hAPP(hAPP(hAPP(X49,X48),X47),X46))) ),
    inference(variable_rename,[status(thm)],[c_0_299]) ).

fof(c_0_584_585,plain,
    ! [X43,X44,X45,X46,X47] :
      ( ~ hBOOL(hAPP(X47,c_Hoare__Mirabelle_Otriple_Otriple__case(X45,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),X44),X46),X43),t_b,t_a)))
      | hBOOL(hAPP(X47,hAPP(hAPP(hAPP(X45,X44),X46),X43))) ),
    inference(variable_rename,[status(thm)],[c_0_300]) ).

fof(c_0_585_586,plain,
    ! [X34,X35,X36,X37,X38] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X37,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X38),X36),hAPP(c_Com_Ocom_OBODY,X34)),X35),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X38),tc_bool)),tc_Hoare__Mirabelle_Otriple(X38)),X38)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X37,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X38),X36),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X34))),X35),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X38),tc_bool)),tc_Hoare__Mirabelle_Otriple(X38)),X38) ),
    inference(variable_rename,[status(thm)],[c_0_301]) ).

fof(c_0_586_587,plain,
    ! [X47,X48,X49,X50,X51] :
      ( hAPP(X47,X49) = X48
      | ~ hBOOL(hAPP(hAPP(c_in(X51),X49),c_Set_Ovimage(X47,c_Set_Oinsert(X48,c_Orderings_Obot__class_Obot(tc_fun(X50,tc_bool)),X50),X51,X50))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_302])])]) ).

fof(c_0_587_588,plain,
    ! [X34,X35,X36] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),X36),X34),X35),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
      | ~ c_Hoare__Mirabelle_Ohoare__valids(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),X36),X34),X35),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(X34),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
    inference(variable_rename,[status(thm)],[c_0_303]) ).

fof(c_0_588_589,plain,
    ! [X47,X48,X49,X50,X51] :
      ( hBOOL(hAPP(hAPP(c_in(X51),X48),X49))
      | ~ hBOOL(hAPP(hAPP(c_in(X50),hAPP(X47,X48)),c_Set_Oimage(X47,X49,X51,X50)))
      | ~ c_Fun_Oinj__on(X47,c_Orderings_Otop__class_Otop(tc_fun(X51,tc_bool)),X51,X50) ),
    inference(variable_rename,[status(thm)],[c_0_304]) ).

fof(c_0_589_590,plain,
    ! [X16,X17,X18,X19,X20] :
      ( c_lessequals(X18,X17,tc_fun(X20,tc_bool))
      | ~ c_lessequals(c_Set_Oimage(X16,X18,X20,X19),c_Set_Oimage(X16,X17,X20,X19),tc_fun(X19,tc_bool))
      | ~ c_Fun_Oinj__on(X16,c_Orderings_Otop__class_Otop(tc_fun(X20,tc_bool)),X20,X19) ),
    inference(variable_rename,[status(thm)],[c_0_305]) ).

fof(c_0_590_591,plain,
    ! [X49,X50,X51,X52,X53,X54] :
      ( c_Set_Oimage(X49,c_HOL_Ominus__class_Ominus(X52,X51,tc_fun(X54,tc_bool)),X54,X53) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X49,X52,X54,X53),c_Set_Oimage(X49,X51,X54,X53),tc_fun(X53,tc_bool))
      | ~ c_lessequals(X51,X50,tc_fun(X54,tc_bool))
      | ~ c_lessequals(X52,X50,tc_fun(X54,tc_bool))
      | ~ c_Fun_Oinj__on(X49,X50,X54,X53) ),
    inference(variable_rename,[status(thm)],[c_0_306]) ).

fof(c_0_591_592,plain,
    ! [X41,X42,X43,X44,X45] :
      ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X43),X42),X41))
      | hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X44),X42),X41))
      | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(X45,X44,X43)),X42),X41)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_307])])]) ).

fof(c_0_592_593,plain,
    ! [X16,X17,X18,X19,X20] :
      ( c_lessequals(c_Set_Ovimage(X16,X17,X20,X19),X18,tc_fun(X20,tc_bool))
      | ~ c_lessequals(X17,c_Set_Oimage(X16,X18,X20,X19),tc_fun(X19,tc_bool))
      | ~ c_Fun_Oinj__on(X16,c_Orderings_Otop__class_Otop(tc_fun(X20,tc_bool)),X20,X19) ),
    inference(variable_rename,[status(thm)],[c_0_308]) ).

fof(c_0_593_594,plain,
    ! [X16,X17,X18,X19,X20] :
      ( c_Set_Oimage(X16,c_HOL_Ominus__class_Ominus(X18,X17,tc_fun(X20,tc_bool)),X20,X19) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X16,X18,X20,X19),c_Set_Oimage(X16,X17,X20,X19),tc_fun(X19,tc_bool))
      | ~ c_Fun_Oinj__on(X16,c_Orderings_Otop__class_Otop(tc_fun(X20,tc_bool)),X20,X19) ),
    inference(variable_rename,[status(thm)],[c_0_309]) ).

fof(c_0_594_595,plain,
    ! [X47,X48,X49,X50,X51] :
      ( hBOOL(hAPP(hAPP(c_in(X50),hAPP(X47,X48)),X49))
      | ~ hBOOL(hAPP(hAPP(c_in(X51),X48),c_Set_Ovimage(X47,X49,X51,X50))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_310])])]) ).

fof(c_0_595_596,plain,
    ! [X47,X48,X49,X50,X51] :
      ( hBOOL(hAPP(hAPP(c_in(X50),hAPP(X47,X48)),X49))
      | ~ hBOOL(hAPP(hAPP(c_in(X51),X48),c_Set_Ovimage(X47,X49,X51,X50))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_311])])]) ).

fof(c_0_596_597,plain,
    ! [X41,X42,X43,X44,X45] :
      ( ~ hBOOL(hAPP(X45,X42))
      | hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X44),X42),X41))
      | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(X45,X44,X43)),X42),X41)) ),
    inference(variable_rename,[status(thm)],[c_0_312]) ).

fof(c_0_597_598,plain,
    ! [X47,X48,X49,X50,X51] :
      ( hBOOL(hAPP(hAPP(c_in(X50),hAPP(X47,X48)),c_Set_Oimage(X47,X49,X51,X50)))
      | ~ hBOOL(hAPP(hAPP(c_in(X51),X48),X49))
      | ~ c_Fun_Oinj__on(X47,c_Orderings_Otop__class_Otop(tc_fun(X51,tc_bool)),X51,X50) ),
    inference(variable_rename,[status(thm)],[c_0_313]) ).

fof(c_0_598_599,plain,
    ! [X41,X42,X43,X44,X45] :
      ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X43),X42),X41))
      | hBOOL(hAPP(X45,X42))
      | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(X45,X44,X43)),X42),X41)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_314])])]) ).

fof(c_0_599_600,plain,
    ! [X33,X34] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X34,c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(hAPP(c_Com_Ocom_OBODY,X33)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(hAPP(c_Com_Ocom_OBODY,X33)),X34,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X33))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
    inference(variable_rename,[status(thm)],[c_0_315]) ).

fof(c_0_600_601,plain,
    ! [X16,X17,X18,X19,X20] :
      ( hBOOL(hAPP(X18,hAPP(X17,X16)))
      | ~ hBOOL(hAPP(c_Set_Ovimage(X17,X18,X20,X19),X16)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_316])])]) ).

fof(c_0_601_602,plain,
    ! [X16,X17,X18,X19,X20] :
      ( c_lessequals(c_Set_Oimage(X16,X18,X20,X19),c_Set_Oimage(X16,X17,X20,X19),tc_fun(X19,tc_bool))
      | ~ c_lessequals(X18,X17,tc_fun(X20,tc_bool))
      | ~ c_Fun_Oinj__on(X16,c_Orderings_Otop__class_Otop(tc_fun(X20,tc_bool)),X20,X19) ),
    inference(variable_rename,[status(thm)],[c_0_317]) ).

fof(c_0_602_603,plain,
    ! [X33,X34,X35] :
      ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,X35)),X34),X33))
      | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X35))),X34),X33)) ),
    inference(variable_rename,[status(thm)],[c_0_318]) ).

fof(c_0_603_604,plain,
    ! [X47,X48,X49,X50,X51] :
      ( hBOOL(hAPP(hAPP(c_in(X51),X48),c_Set_Ovimage(X47,X49,X51,X50)))
      | ~ hBOOL(hAPP(hAPP(c_in(X50),hAPP(X47,X48)),X49)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_319])])]) ).

fof(c_0_604_605,plain,
    ! [X47,X48,X49,X50,X51] :
      ( hBOOL(hAPP(hAPP(c_in(X50),X48),c_Set_Ovimage(X47,X49,X50,X51)))
      | ~ hBOOL(hAPP(hAPP(c_in(X51),hAPP(X47,X48)),X49)) ),
    inference(variable_rename,[status(thm)],[c_0_320]) ).

fof(c_0_605_606,plain,
    ! [X47,X48,X49,X50,X51] :
      ( hBOOL(hAPP(hAPP(c_in(X50),X48),c_Set_Ovimage(X47,X49,X50,X51)))
      | ~ hBOOL(hAPP(hAPP(c_in(X51),hAPP(X47,X48)),X49)) ),
    inference(variable_rename,[status(thm)],[c_0_321]) ).

fof(c_0_606_607,plain,
    ! [X16,X17,X18,X19,X20] :
      ( c_Set_Oimage(X16,X18,X20,X19) != c_Set_Oimage(X16,X17,X20,X19)
      | ~ c_Fun_Oinj__on(X16,c_Lattices_Oupper__semilattice__class_Osup(X18,X17,tc_fun(X20,tc_bool)),X20,X19)
      | X18 = X17 ),
    inference(variable_rename,[status(thm)],[c_0_322]) ).

fof(c_0_607_608,plain,
    ! [X16,X17,X18,X19] :
      ( c_lessequals(X18,c_Set_Oinsert(X16,X17,X19),tc_fun(X19,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X19),X16),X18))
      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X18,c_Set_Oinsert(X16,c_Orderings_Obot__class_Obot(tc_fun(X19,tc_bool)),X19),tc_fun(X19,tc_bool)),X17,tc_fun(X19,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_323]) ).

fof(c_0_608_609,plain,
    ! [X16,X17,X18,X19] :
      ( c_lessequals(X18,c_Set_Oinsert(X16,X17,X19),tc_fun(X19,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X19),X16),X18))
      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X18,c_Set_Oinsert(X16,c_Orderings_Obot__class_Obot(tc_fun(X19,tc_bool)),X19),tc_fun(X19,tc_bool)),X17,tc_fun(X19,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_324]) ).

fof(c_0_609_610,plain,
    ! [X69,X70,X71,X72,X73] :
      ( ~ hBOOL(hAPP(hAPP(c_in(X72),X69),X71))
      | hBOOL(hAPP(hAPP(c_in(X73),hAPP(X70,X69)),c_Set_Oimage(X70,X71,X72,X73))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_325])])]) ).

fof(c_0_610_611,plain,
    ! [X16,X17,X18,X19,X20] :
      ( ~ hBOOL(hAPP(hAPP(c_in(X19),X16),X18))
      | hBOOL(hAPP(hAPP(c_in(X20),hAPP(X17,X16)),c_Set_Oimage(X17,X18,X19,X20))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_326])])]) ).

fof(c_0_611_612,plain,
    ! [X16,X17,X18,X19,X20] :
      ( hBOOL(hAPP(hAPP(c_in(X20),hAPP(X17,X16)),c_Set_Oimage(X17,X18,X19,X20)))
      | ~ hBOOL(hAPP(hAPP(c_in(X19),X16),X18)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_327])])]) ).

fof(c_0_612_613,plain,
    ! [X16,X17,X18,X19,X20] :
      ( hBOOL(hAPP(hAPP(c_in(X19),hAPP(X17,X16)),c_Set_Oimage(X17,X18,X20,X19)))
      | ~ hBOOL(hAPP(hAPP(c_in(X20),X16),X18)) ),
    inference(variable_rename,[status(thm)],[c_0_328]) ).

fof(c_0_613_614,plain,
    ! [X31,X32,X33] :
      ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X33))),X32),X31))
      | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,X33)),X32),X31)) ),
    inference(variable_rename,[status(thm)],[c_0_329]) ).

fof(c_0_614_615,plain,
    ! [X41,X42,X43,X44,X45] :
      ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(X45,X44,X43)),X42),X41))
      | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X44),X42),X41))
      | ~ hBOOL(hAPP(X45,X42)) ),
    inference(variable_rename,[status(thm)],[c_0_330]) ).

fof(c_0_615_616,plain,
    ! [X41,X42,X43,X44,X45] :
      ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(X45,X44,X43)),X42),X41))
      | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X43),X42),X41))
      | hBOOL(hAPP(X45,X42)) ),
    inference(variable_rename,[status(thm)],[c_0_331]) ).

fof(c_0_616_617,plain,
    ! [X16,X17,X18,X19] :
      ( c_lessequals(X18,c_Set_Oinsert(X16,X17,X19),tc_fun(X19,tc_bool))
      | ~ c_lessequals(X18,X17,tc_fun(X19,tc_bool))
      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X18,c_Set_Oinsert(X16,c_Orderings_Obot__class_Obot(tc_fun(X19,tc_bool)),X19),tc_fun(X19,tc_bool)),X17,tc_fun(X19,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_332]) ).

fof(c_0_617_618,plain,
    ! [X36,X37,X38,X39,X40] :
      ( c_Hoare__Mirabelle_Otriple__valid(c_Suc(X37),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X40),X39),hAPP(c_Com_Ocom_OBODY,X36)),X38),X40)
      | ~ c_Hoare__Mirabelle_Otriple__valid(X37,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X40),X39),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X36))),X38),X40) ),
    inference(variable_rename,[status(thm)],[c_0_333]) ).

fof(c_0_618_619,plain,
    ! [X41,X42,X43,X44,X45] :
      ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OWhile(X45,X44)),X43),X41))
      | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OWhile(X45,X44)),X42),X41))
      | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X44),X43),X42))
      | ~ hBOOL(hAPP(X45,X43)) ),
    inference(variable_rename,[status(thm)],[c_0_334]) ).

fof(c_0_619_620,plain,
    ! [X16,X17,X18,X19,X20,X21] :
      ( hBOOL(hAPP(hAPP(c_in(X21),hAPP(X17,X16)),X18))
      | ~ hBOOL(hAPP(hAPP(c_in(X20),X16),X19))
      | ~ c_lessequals(c_Set_Oimage(X17,X19,X20,X21),X18,tc_fun(X21,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_335]) ).

fof(c_0_620_621,plain,
    ! [X16,X17,X18,X19,X20] :
      ( c_Set_Oimage(X16,X18,X20,X19) != c_Set_Oimage(X16,X17,X20,X19)
      | ~ c_Fun_Oinj__on(X16,c_Orderings_Otop__class_Otop(tc_fun(X20,tc_bool)),X20,X19)
      | X18 = X17 ),
    inference(variable_rename,[status(thm)],[c_0_336]) ).

fof(c_0_621_622,plain,
    ! [X36,X37,X38,X39] :
      ( c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X39)),X37,c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(X39,X38,X37,X36),X36)
      | ~ c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X39),X37,X38,X36) ),
    inference(variable_rename,[status(thm)],[c_0_337]) ).

fof(c_0_622_623,plain,
    ! [X16,X17,X18,X19] :
      ( c_Set_Ovimage(X16,c_Set_Oimage(X16,X17,X19,X18),X19,X18) = X17
      | ~ c_Fun_Oinj__on(X16,c_Orderings_Otop__class_Otop(tc_fun(X19,tc_bool)),X19,X18) ),
    inference(variable_rename,[status(thm)],[c_0_338]) ).

fof(c_0_623_624,plain,
    ! [X36,X37,X38,X39,X40] :
      ( c_Hoare__Mirabelle_Otriple__valid(X37,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X40),X39),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X36))),X38),X40)
      | ~ c_Hoare__Mirabelle_Otriple__valid(c_Suc(X37),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X40),X39),hAPP(c_Com_Ocom_OBODY,X36)),X38),X40) ),
    inference(variable_rename,[status(thm)],[c_0_339]) ).

fof(c_0_624_625,plain,
    ! [X16,X17,X18,X19,X20] :
      ( c_lessequals(c_Set_Ovimage(X16,X18,X19,X20),c_Set_Ovimage(X16,X17,X19,X20),tc_fun(X19,tc_bool))
      | ~ c_lessequals(X18,X17,tc_fun(X20,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_340]) ).

fof(c_0_625_626,plain,
    ! [X16,X17,X18,X19,X20] :
      ( ~ c_lessequals(X16,X18,tc_fun(X19,tc_bool))
      | c_lessequals(c_Set_Oimage(X17,X16,X19,X20),c_Set_Oimage(X17,X18,X19,X20),tc_fun(X20,tc_bool)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_341])])]) ).

fof(c_0_626_627,plain,
    ! [X16,X17,X18,X19,X20] :
      ( c_lessequals(c_Set_Oimage(X16,X18,X20,X19),c_Set_Oimage(X16,X17,X20,X19),tc_fun(X19,tc_bool))
      | ~ c_lessequals(X18,X17,tc_fun(X20,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_342]) ).

fof(c_0_627_628,plain,
    ! [X16,X17,X18,X19,X20] :
      ( hBOOL(hAPP(c_Set_Ovimage(X17,X18,X20,X19),X16))
      | ~ hBOOL(hAPP(X18,hAPP(X17,X16))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_343])])]) ).

fof(c_0_628_629,plain,
    ! [X41,X42,X43,X44,X45,X46] :
      ( c_Natural_Oevaln(c_Com_Ocom_OWhile(X46,X45),X43,X44,X41)
      | ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(X46,X45),X42,X44,X41)
      | ~ c_Natural_Oevaln(X45,X43,X44,X42)
      | ~ hBOOL(hAPP(X46,X43)) ),
    inference(variable_rename,[status(thm)],[c_0_344]) ).

fof(c_0_629_630,plain,
    ! [X16,X17,X18,X19] :
      ( c_lessequals(c_HOL_Ominus__class_Ominus(X18,c_Set_Oinsert(X16,c_Orderings_Obot__class_Obot(tc_fun(X19,tc_bool)),X19),tc_fun(X19,tc_bool)),X17,tc_fun(X19,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X19),X16),X18))
      | ~ c_lessequals(X18,c_Set_Oinsert(X16,X17,X19),tc_fun(X19,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_345]) ).

fof(c_0_630_631,plain,
    ! [X41,X42,X43,X44,X45,X46] :
      ( c_Natural_Oevaln(X44,X42,X43,X41)
      | c_Natural_Oevaln(X45,X42,X43,X41)
      | ~ c_Natural_Oevaln(c_Com_Ocom_OCond(X46,X45,X44),X42,X43,X41) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_346])])]) ).

fof(c_0_631_632,plain,
    ! [X39,X40,X41,X42,X43,X44] :
      ( c_Natural_Oevaln(c_Com_Ocom_OSemi(X44,X43),X41,X42,X39)
      | ~ c_Natural_Oevaln(X43,X40,X42,X39)
      | ~ c_Natural_Oevaln(X44,X41,X42,X40) ),
    inference(variable_rename,[status(thm)],[c_0_347]) ).

fof(c_0_632_633,plain,
    ! [X66,X67,X68,X69,X70,X71,X72] :
      ( hBOOL(hAPP(hAPP(X71,X70),X66))
      | ~ c_Natural_Oevaln(X69,X67,X68,X66)
      | ~ hBOOL(hAPP(hAPP(X72,X70),X67))
      | ~ c_Hoare__Mirabelle_Otriple__valid(X68,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X72),X69),X71),t_a) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_348])])]) ).

fof(c_0_633_634,plain,
    ! [X16,X17,X18,X19,X20] :
      ( c_Set_Oinsert(hAPP(X17,X16),c_Set_Oimage(X17,X18,X20,X19),X19) = c_Set_Oimage(X17,X18,X20,X19)
      | ~ hBOOL(hAPP(hAPP(c_in(X20),X16),X18)) ),
    inference(variable_rename,[status(thm)],[c_0_349]) ).

fof(c_0_634_635,plain,
    ! [X39,X40,X41,X42,X43] :
      ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OSemi(X43,X42)),X41),X39))
      | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X42),X40),X39))
      | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X43),X41),X40)) ),
    inference(variable_rename,[status(thm)],[c_0_350]) ).

fof(c_0_635_636,plain,
    ! [X36,X37,X38,X39] :
      ( X38 = c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(X39,X38,X37,X36))
      | ~ c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X39),X37,X38,X36) ),
    inference(variable_rename,[status(thm)],[c_0_351]) ).

fof(c_0_636_637,plain,
    ! [X16,X17,X18,X19,X20] :
      ( c_Fun_Oinj__on(X16,X17,X20,X19)
      | ~ c_Fun_Oinj__on(X16,c_Lattices_Oupper__semilattice__class_Osup(X18,X17,tc_fun(X20,tc_bool)),X20,X19) ),
    inference(variable_rename,[status(thm)],[c_0_352]) ).

fof(c_0_637_638,plain,
    ! [X16,X17,X18,X19,X20] :
      ( c_Fun_Oinj__on(X16,X18,X20,X19)
      | ~ c_Fun_Oinj__on(X16,c_Lattices_Oupper__semilattice__class_Osup(X18,X17,tc_fun(X20,tc_bool)),X20,X19) ),
    inference(variable_rename,[status(thm)],[c_0_353]) ).

fof(c_0_638_639,plain,
    ! [X20,X21,X22,X23] :
      ( hBOOL(hAPP(hAPP(c_in(X23),X20),X21))
      | hBOOL(hAPP(hAPP(c_in(X23),X20),X22))
      | ~ hBOOL(hAPP(hAPP(c_in(X23),X20),c_Lattices_Oupper__semilattice__class_Osup(X22,X21,tc_fun(X23,tc_bool)))) ),
    inference(variable_rename,[status(thm)],[c_0_354]) ).

fof(c_0_639_640,plain,
    ! [X41,X42,X43,X44,X45,X46] :
      ( ~ hBOOL(hAPP(X46,X42))
      | c_Natural_Oevaln(X45,X42,X43,X41)
      | ~ c_Natural_Oevaln(c_Com_Ocom_OCond(X46,X45,X44),X42,X43,X41) ),
    inference(variable_rename,[status(thm)],[c_0_355]) ).

fof(c_0_640_641,plain,
    ! [X58,X59,X60,X61,X62] :
      ( c_Set_Oinsert(X61,c_Set_Oinsert(X60,c_Orderings_Obot__class_Obot(tc_fun(X62,tc_bool)),X62),X62) != c_Set_Oinsert(X59,c_Set_Oinsert(X58,c_Orderings_Obot__class_Obot(tc_fun(X62,tc_bool)),X62),X62)
      | X61 = X58
      | X61 = X59 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_356])])]) ).

fof(c_0_641_642,plain,
    ! [X58,X59,X60,X61,X62] :
      ( c_Set_Oinsert(X61,c_Set_Oinsert(X60,c_Orderings_Obot__class_Obot(tc_fun(X62,tc_bool)),X62),X62) != c_Set_Oinsert(X59,c_Set_Oinsert(X58,c_Orderings_Obot__class_Obot(tc_fun(X62,tc_bool)),X62),X62)
      | X60 = X59
      | X61 = X59 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_357])])]) ).

fof(c_0_642_643,plain,
    ! [X58,X59,X60,X61,X62] :
      ( c_Set_Oinsert(X61,c_Set_Oinsert(X60,c_Orderings_Obot__class_Obot(tc_fun(X62,tc_bool)),X62),X62) != c_Set_Oinsert(X59,c_Set_Oinsert(X58,c_Orderings_Obot__class_Obot(tc_fun(X62,tc_bool)),X62),X62)
      | X61 = X58
      | X60 = X58 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_358])])]) ).

fof(c_0_643_644,plain,
    ! [X58,X59,X60,X61,X62] :
      ( c_Set_Oinsert(X61,c_Set_Oinsert(X60,c_Orderings_Obot__class_Obot(tc_fun(X62,tc_bool)),X62),X62) != c_Set_Oinsert(X59,c_Set_Oinsert(X58,c_Orderings_Obot__class_Obot(tc_fun(X62,tc_bool)),X62),X62)
      | X60 = X59
      | X60 = X58 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_359])])]) ).

fof(c_0_644_645,plain,
    ! [X41,X42,X43,X44,X45,X46] :
      ( c_Natural_Oevaln(X44,X42,X43,X41)
      | hBOOL(hAPP(X46,X42))
      | ~ c_Natural_Oevaln(c_Com_Ocom_OCond(X46,X45,X44),X42,X43,X41) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_360])])]) ).

fof(c_0_645_646,plain,
    ! [X47,X48,X49] :
      ( X47 = X48
      | ~ hBOOL(hAPP(hAPP(c_in(X49),X47),c_Set_Oinsert(X48,c_Orderings_Obot__class_Obot(tc_fun(X49,tc_bool)),X49))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_361])])]) ).

fof(c_0_646_647,plain,
    ! [X20,X21,X22,X23] :
      ( ~ hBOOL(hAPP(hAPP(c_in(X23),X20),X21))
      | ~ hBOOL(hAPP(hAPP(c_in(X23),X20),c_HOL_Ominus__class_Ominus(X22,X21,tc_fun(X23,tc_bool)))) ),
    inference(variable_rename,[status(thm)],[c_0_362]) ).

fof(c_0_647_648,plain,
    ! [X47,X48,X49,X50,X51] :
      ( c_Fun_Oinj__on(X47,X49,X51,X50)
      | ~ c_Fun_Oinj__on(X47,c_Set_Oinsert(X48,X49,X51),X51,X50) ),
    inference(variable_rename,[status(thm)],[c_0_363]) ).

fof(c_0_648_649,plain,
    ! [X47,X48,X49] :
      ( c_Set_Oinsert(X47,c_HOL_Ominus__class_Ominus(X48,c_Set_Oinsert(X47,c_Orderings_Obot__class_Obot(tc_fun(X49,tc_bool)),X49),tc_fun(X49,tc_bool)),X49) = X48
      | ~ hBOOL(hAPP(hAPP(c_in(X49),X47),X48)) ),
    inference(variable_rename,[status(thm)],[c_0_364]) ).

fof(c_0_649_650,plain,
    ! [X41,X42,X43,X44,X45,X46] :
      ( c_Natural_Oevaln(c_Com_Ocom_OCond(X46,X45,X44),X42,X43,X41)
      | ~ c_Natural_Oevaln(X45,X42,X43,X41)
      | ~ hBOOL(hAPP(X46,X42)) ),
    inference(variable_rename,[status(thm)],[c_0_365]) ).

fof(c_0_650_651,plain,
    ! [X16,X17,X18,X19,X20] :
      ( c_Fun_Oinj__on(X16,c_HOL_Ominus__class_Ominus(X18,X17,tc_fun(X20,tc_bool)),X20,X19)
      | ~ c_Fun_Oinj__on(X16,X18,X20,X19) ),
    inference(variable_rename,[status(thm)],[c_0_366]) ).

fof(c_0_651_652,plain,
    ! [X36,X37,X38,X39] :
      ( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X38),X37,c_Suc(X39),X36)
      | ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X38)),X37,X39,X36) ),
    inference(variable_rename,[status(thm)],[c_0_367]) ).

fof(c_0_652_653,plain,
    ! [X41,X42,X43,X44,X45,X46] :
      ( c_Natural_Oevaln(c_Com_Ocom_OCond(X46,X45,X44),X42,X43,X41)
      | ~ c_Natural_Oevaln(X44,X42,X43,X41)
      | hBOOL(hAPP(X46,X42)) ),
    inference(variable_rename,[status(thm)],[c_0_368]) ).

fof(c_0_653_654,plain,
    ! [X29,X30,X31,X32] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X31,c_Set_Oinsert(X30,X29,tc_Hoare__Mirabelle_Otriple(X32)),X32)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X31,X29,X32)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X31,c_Set_Oinsert(X30,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X32),tc_bool)),tc_Hoare__Mirabelle_Otriple(X32)),X32) ),
    inference(variable_rename,[status(thm)],[c_0_369]) ).

fof(c_0_654_655,plain,
    ! [X16,X17,X18,X19,X20,X21] :
      ( hAPP(X18,X17) != hAPP(X18,X16)
      | ~ hBOOL(hAPP(hAPP(c_in(X21),X16),X19))
      | ~ hBOOL(hAPP(hAPP(c_in(X21),X17),X19))
      | X17 = X16
      | ~ c_Fun_Oinj__on(X18,X19,X21,X20) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_370])])]) ).

fof(c_0_655_656,plain,
    ! [X16,X17,X18,X19,X20,X21] :
      ( hAPP(X18,X17) != hAPP(X18,X16)
      | ~ hBOOL(hAPP(hAPP(c_in(X21),X16),X19))
      | ~ hBOOL(hAPP(hAPP(c_in(X21),X17),X19))
      | ~ c_Fun_Oinj__on(X18,X19,X21,X20)
      | X17 = X16 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_371])])]) ).

fof(c_0_656_657,plain,
    ! [X46,X47,X48,X49,X50,X51] :
      ( hAPP(X48,X47) != hAPP(X48,X46)
      | ~ hBOOL(hAPP(hAPP(c_in(X51),X46),X49))
      | ~ hBOOL(hAPP(hAPP(c_in(X51),X47),X49))
      | ~ c_Fun_Oinj__on(X48,X49,X51,X50)
      | X47 = X46 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_372])])]) ).

fof(c_0_657_658,plain,
    ! [X16,X17,X18,X19,X20,X21] :
      ( hAPP(X18,X17) != hAPP(X18,X16)
      | ~ c_Fun_Oinj__on(X18,X19,X21,X20)
      | X17 = X16
      | ~ hBOOL(hAPP(hAPP(c_in(X21),X16),X19))
      | ~ hBOOL(hAPP(hAPP(c_in(X21),X17),X19)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_373])])]) ).

fof(c_0_658_659,plain,
    ! [X16,X17,X18,X19,X20] :
      ( c_Fun_Oinj__on(X16,X18,X20,X19)
      | ~ c_lessequals(X18,X17,tc_fun(X20,tc_bool))
      | ~ c_Fun_Oinj__on(X16,X17,X20,X19) ),
    inference(variable_rename,[status(thm)],[c_0_374]) ).

fof(c_0_659_660,plain,
    ! [X20,X21,X22,X23] :
      ( hBOOL(hAPP(hAPP(c_in(X23),X20),X22))
      | ~ hBOOL(hAPP(hAPP(c_in(X23),X20),c_HOL_Ominus__class_Ominus(X22,X21,tc_fun(X23,tc_bool)))) ),
    inference(variable_rename,[status(thm)],[c_0_375]) ).

fof(c_0_660_661,plain,
    ! [X20,X21,X22,X23] :
      ( hBOOL(hAPP(hAPP(c_in(X23),X20),c_HOL_Ominus__class_Ominus(X22,X21,tc_fun(X23,tc_bool))))
      | hBOOL(hAPP(hAPP(c_in(X23),X20),X21))
      | ~ hBOOL(hAPP(hAPP(c_in(X23),X20),X22)) ),
    inference(variable_rename,[status(thm)],[c_0_376]) ).

fof(c_0_661_662,plain,
    ! [X20,X21,X22,X23] :
      ( hBOOL(hAPP(hAPP(c_in(X23),X20),c_HOL_Ominus__class_Ominus(X22,X21,tc_fun(X23,tc_bool))))
      | hBOOL(hAPP(hAPP(c_in(X23),X20),X21))
      | ~ hBOOL(hAPP(hAPP(c_in(X23),X20),X22)) ),
    inference(variable_rename,[status(thm)],[c_0_377]) ).

fof(c_0_662_663,plain,
    ! [X65,X66,X67,X68] :
      ( c_Natural_Oevaln(X68,X66,c_Suc(X67),X65)
      | ~ c_Natural_Oevaln(X68,X66,X67,X65) ),
    inference(variable_rename,[status(thm)],[c_0_378]) ).

fof(c_0_663_664,plain,
    ! [X41,X42,X43,X44] :
      ( hBOOL(hAPP(X44,X42))
      | X41 = X42
      | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OWhile(X44,X43)),X42),X41)) ),
    inference(variable_rename,[status(thm)],[c_0_379]) ).

fof(c_0_664_665,plain,
    ! [X49,X50,X51,X52,X53] :
      ( c_lessequals(c_HOL_Ominus__class_Ominus(X52,X51,tc_fun(X53,tc_bool)),c_HOL_Ominus__class_Ominus(X50,X49,tc_fun(X53,tc_bool)),tc_fun(X53,tc_bool))
      | ~ c_lessequals(X49,X51,tc_fun(X53,tc_bool))
      | ~ c_lessequals(X52,X50,tc_fun(X53,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_380]) ).

fof(c_0_665_666,plain,
    ! [X49,X50,X51,X52,X53] :
      ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X52,X51,tc_fun(X53,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X50,X49,tc_fun(X53,tc_bool)),tc_fun(X53,tc_bool))
      | ~ c_lessequals(X51,X49,tc_fun(X53,tc_bool))
      | ~ c_lessequals(X52,X50,tc_fun(X53,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_381]) ).

fof(c_0_666_667,plain,
    ! [X47,X48,X49,X50] :
      ( hBOOL(hAPP(hAPP(c_in(X50),X48),X49))
      | X48 = X47
      | ~ hBOOL(hAPP(hAPP(c_in(X50),X48),c_Set_Oinsert(X47,X49,X50))) ),
    inference(variable_rename,[status(thm)],[c_0_382]) ).

fof(c_0_667_668,plain,
    ! [X29,X30,X31,X32] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X31,c_Set_Oinsert(X30,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X32),tc_bool)),tc_Hoare__Mirabelle_Otriple(X32)),X32)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X31,c_Set_Oinsert(X30,X29,tc_Hoare__Mirabelle_Otriple(X32)),X32) ),
    inference(variable_rename,[status(thm)],[c_0_383]) ).

fof(c_0_668_669,plain,
    ! [X49,X50,X51,X52] :
      ( c_lessequals(c_HOL_Ominus__class_Ominus(X51,X50,tc_fun(X52,tc_bool)),X49,tc_fun(X52,tc_bool))
      | ~ c_lessequals(X51,c_Lattices_Oupper__semilattice__class_Osup(X50,X49,tc_fun(X52,tc_bool)),tc_fun(X52,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_384]) ).

fof(c_0_669_670,plain,
    ! [X49,X50,X51,X52] :
      ( c_lessequals(X51,c_Lattices_Oupper__semilattice__class_Osup(X50,X49,tc_fun(X52,tc_bool)),tc_fun(X52,tc_bool))
      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X51,X50,tc_fun(X52,tc_bool)),X49,tc_fun(X52,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_385]) ).

fof(c_0_670_671,plain,
    ! [X16,X17,X18] :
      ( X17 = c_Set_Oinsert(X16,c_Orderings_Obot__class_Obot(tc_fun(X18,tc_bool)),X18)
      | X17 = c_Orderings_Obot__class_Obot(tc_fun(X18,tc_bool))
      | ~ c_lessequals(X17,c_Set_Oinsert(X16,c_Orderings_Obot__class_Obot(tc_fun(X18,tc_bool)),X18),tc_fun(X18,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_386]) ).

fof(c_0_671_672,plain,
    ! [X16,X17,X18,X19] :
      ( hBOOL(hAPP(X17,X16))
      | hBOOL(hAPP(X18,X16))
      | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X18,X17,tc_fun(X19,tc_bool)),X16)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_387])])]) ).

fof(c_0_672_673,plain,
    ! [X20,X21,X22,X23] :
      ( hBOOL(hAPP(hAPP(c_in(X23),X20),c_Lattices_Oupper__semilattice__class_Osup(X22,X21,tc_fun(X23,tc_bool))))
      | ~ hBOOL(hAPP(hAPP(c_in(X23),X20),X22)) ),
    inference(variable_rename,[status(thm)],[c_0_388]) ).

fof(c_0_673_674,plain,
    ! [X20,X21,X22,X23] :
      ( hBOOL(hAPP(hAPP(c_in(X23),X20),c_Lattices_Oupper__semilattice__class_Osup(X22,X21,tc_fun(X23,tc_bool))))
      | ~ hBOOL(hAPP(hAPP(c_in(X23),X20),X21)) ),
    inference(variable_rename,[status(thm)],[c_0_389]) ).

fof(c_0_674_675,plain,
    ! [X36,X37,X38,X39] :
      ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X39),X37),X36))
      | ~ c_Natural_Oevaln(X39,X37,X38,X36) ),
    inference(variable_rename,[status(thm)],[c_0_390]) ).

fof(c_0_675_676,plain,
    ! [X20,X21,X22,X23] :
      ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X23),X22),X21))
      | ~ c_Natural_Oevaln(X23,X22,X20,X21) ),
    inference(variable_rename,[status(thm)],[c_0_391]) ).

fof(c_0_676_677,plain,
    ! [X20,X21,X22,X23] :
      ( X20 = X21
      | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X23),X22),X20))
      | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X23),X22),X21)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_392])])]) ).

fof(c_0_677_678,plain,
    ! [X14,X15,X16,X17,X18] :
      ( hAPP(X16,X15) != hAPP(X16,X14)
      | ~ c_Fun_Oinj__on(X16,c_Orderings_Otop__class_Otop(tc_fun(X18,tc_bool)),X18,X17)
      | X15 = X14 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_393])])]) ).

fof(c_0_678_679,plain,
    ! [X16,X17,X18] :
      ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X16,X17,X18),c_Set_Oinsert(X16,c_Orderings_Obot__class_Obot(tc_fun(X18,tc_bool)),X18),tc_fun(X18,tc_bool)) = X17
      | hBOOL(hAPP(hAPP(c_in(X18),X16),X17)) ),
    inference(variable_rename,[status(thm)],[c_0_394]) ).

fof(c_0_679_680,plain,
    ! [X16,X17,X18,X19] :
      ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X16,X18,X19),X17,tc_fun(X19,tc_bool)) = c_Set_Oinsert(X16,c_HOL_Ominus__class_Ominus(X18,X17,tc_fun(X19,tc_bool)),X19)
      | hBOOL(hAPP(hAPP(c_in(X19),X16),X17)) ),
    inference(variable_rename,[status(thm)],[c_0_395]) ).

fof(c_0_680_681,plain,
    ! [X47,X48,X49,X50] :
      ( hBOOL(hAPP(hAPP(c_in(X50),X48),c_Set_Oinsert(X47,X49,X50)))
      | ~ hBOOL(hAPP(hAPP(c_in(X50),X48),X49)) ),
    inference(variable_rename,[status(thm)],[c_0_396]) ).

fof(c_0_681_682,plain,
    ! [X47,X48,X49,X50] :
      ( hBOOL(hAPP(hAPP(c_in(X50),X48),c_Set_Oinsert(X47,X49,X50)))
      | ~ hBOOL(hAPP(hAPP(c_in(X50),X48),X49)) ),
    inference(variable_rename,[status(thm)],[c_0_397]) ).

fof(c_0_682_683,plain,
    ! [X49,X50,X51,X52] :
      ( c_HOL_Ominus__class_Ominus(X50,c_HOL_Ominus__class_Ominus(X49,X51,tc_fun(X52,tc_bool)),tc_fun(X52,tc_bool)) = X51
      | ~ c_lessequals(X50,X49,tc_fun(X52,tc_bool))
      | ~ c_lessequals(X51,X50,tc_fun(X52,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_398]) ).

fof(c_0_683_684,plain,
    ! [X49,X50,X51,X52] :
      ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X51,X50,tc_fun(X52,tc_bool)),X49,tc_fun(X52,tc_bool))
      | ~ c_lessequals(X50,X49,tc_fun(X52,tc_bool))
      | ~ c_lessequals(X51,X49,tc_fun(X52,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_399]) ).

fof(c_0_684_685,plain,
    ! [X49,X50,X51,X52] :
      ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X51,X50,tc_fun(X52,tc_bool)),X49,tc_fun(X52,tc_bool))
      | ~ c_lessequals(X50,X49,tc_fun(X52,tc_bool))
      | ~ c_lessequals(X51,X49,tc_fun(X52,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_400]) ).

fof(c_0_685_686,plain,
    ! [X16,X17,X18,X19] :
      ( c_lessequals(X18,X17,tc_fun(X19,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X19),X16),X18))
      | ~ c_lessequals(X18,c_Set_Oinsert(X16,X17,X19),tc_fun(X19,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_401]) ).

fof(c_0_686_687,plain,
    ! [X16,X17,X18,X19] :
      ( c_lessequals(X18,X17,tc_fun(X19,tc_bool))
      | ~ c_lessequals(X18,c_Set_Oinsert(X16,X17,X19),tc_fun(X19,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X19),X16),X18)) ),
    inference(variable_rename,[status(thm)],[c_0_402]) ).

fof(c_0_687_688,plain,
    ! [X16,X17,X18,X19] :
      ( c_lessequals(c_Set_Oinsert(X16,X18,X19),X17,tc_fun(X19,tc_bool))
      | ~ c_lessequals(X18,X17,tc_fun(X19,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X19),X16),X17)) ),
    inference(variable_rename,[status(thm)],[c_0_403]) ).

fof(c_0_688_689,plain,
    ! [X41,X42,X43,X44,X45] :
      ( hBOOL(hAPP(X45,X42))
      | X41 = X42
      | ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(X45,X44),X42,X43,X41) ),
    inference(variable_rename,[status(thm)],[c_0_404]) ).

fof(c_0_689_690,plain,
    ! [X16,X17,X18,X19] :
      ( c_Set_Oimage(X16,X17,X18,X19) != c_Orderings_Obot__class_Obot(tc_fun(X19,tc_bool))
      | X17 = c_Orderings_Obot__class_Obot(tc_fun(X18,tc_bool)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_405])])]) ).

fof(c_0_690_691,plain,
    ! [X16,X17,X18,X19] :
      ( c_Orderings_Obot__class_Obot(tc_fun(X19,tc_bool)) != c_Set_Oimage(X16,X17,X18,X19)
      | X17 = c_Orderings_Obot__class_Obot(tc_fun(X18,tc_bool)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_406])])]) ).

fof(c_0_691_692,plain,
    ! [X49,X50,X51,X52] :
      ( c_lessequals(X50,X49,tc_fun(X52,tc_bool))
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X51,X50,tc_fun(X52,tc_bool)),X49,tc_fun(X52,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_407]) ).

fof(c_0_692_693,plain,
    ! [X49,X50,X51,X52] :
      ( c_lessequals(X51,X49,tc_fun(X52,tc_bool))
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X51,X50,tc_fun(X52,tc_bool)),X49,tc_fun(X52,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_408]) ).

fof(c_0_693_694,plain,
    ! [X16,X17,X18,X19] :
      ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X16,X18,X19),X17,tc_fun(X19,tc_bool)) = c_HOL_Ominus__class_Ominus(X18,X17,tc_fun(X19,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X19),X16),X17)) ),
    inference(variable_rename,[status(thm)],[c_0_409]) ).

fof(c_0_694_695,plain,
    ! [X16,X17,X18,X19] :
      ( hBOOL(hAPP(X18,X17))
      | X16 = X17
      | ~ hBOOL(hAPP(c_Set_Oinsert(X16,X18,X19),X17)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_410])])]) ).

fof(c_0_695_696,plain,
    ! [X16,X17,X18,X19] :
      ( c_lessequals(X18,c_Set_Oinsert(X16,X17,X19),tc_fun(X19,tc_bool))
      | ~ c_lessequals(X18,X17,tc_fun(X19,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X19),X16),X18)) ),
    inference(variable_rename,[status(thm)],[c_0_411]) ).

fof(c_0_696_697,plain,
    ! [X16,X17,X18,X19] :
      ( c_lessequals(X18,c_Set_Oinsert(X16,X17,X19),tc_fun(X19,tc_bool))
      | ~ c_lessequals(X18,X17,tc_fun(X19,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X19),X16),X18)) ),
    inference(variable_rename,[status(thm)],[c_0_412]) ).

fof(c_0_697_698,plain,
    ! [X49,X50,X51,X52] :
      ( c_lessequals(c_Set_Oinsert(X49,X51,X52),c_Set_Oinsert(X49,X50,X52),tc_fun(X52,tc_bool))
      | ~ c_lessequals(X51,X50,tc_fun(X52,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_413]) ).

fof(c_0_698_699,plain,
    ! [X41,X42,X43] :
      ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OWhile(X43,X42)),X41),X41))
      | hBOOL(hAPP(X43,X41)) ),
    inference(variable_rename,[status(thm)],[c_0_414]) ).

fof(c_0_699_700,plain,
    ! [X16,X17,X18,X19] :
      ( hBOOL(hAPP(hAPP(c_in(X19),X16),X17))
      | ~ c_lessequals(c_Set_Oinsert(X16,X18,X19),X17,tc_fun(X19,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_415]) ).

fof(c_0_700_701,plain,
    ! [X16,X17,X18,X19] :
      ( hBOOL(hAPP(hAPP(c_in(X19),X16),X17))
      | ~ hBOOL(hAPP(hAPP(c_in(X19),X16),X18))
      | ~ c_lessequals(X18,X17,tc_fun(X19,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_416]) ).

fof(c_0_701_702,plain,
    ! [X20,X21,X22,X23] :
      ( hBOOL(hAPP(hAPP(c_in(X23),X20),X21))
      | ~ hBOOL(hAPP(hAPP(c_in(X23),X20),X22))
      | ~ c_lessequals(X22,X21,tc_fun(X23,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_417]) ).

fof(c_0_702_703,plain,
    ! [X16,X17,X18,X19] :
      ( hBOOL(hAPP(hAPP(c_in(X19),X16),X17))
      | ~ c_lessequals(X18,X17,tc_fun(X19,tc_bool))
      | ~ hBOOL(hAPP(hAPP(c_in(X19),X16),X18)) ),
    inference(variable_rename,[status(thm)],[c_0_418]) ).

fof(c_0_703_704,plain,
    ! [X18,X19,X20,X21] :
      ( hBOOL(hAPP(hAPP(c_in(X21),X18),X19))
      | ~ hBOOL(hAPP(hAPP(c_in(X21),X18),X20))
      | ~ c_lessequals(X20,X19,tc_fun(X21,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_419]) ).

fof(c_0_704_705,plain,
    ! [X36,X37,X38] :
      ( X36 = X37
      | ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,X37,X38,X36) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_420])])]) ).

fof(c_0_705_706,plain,
    ! [X16,X17,X18,X19] :
      ( c_Set_Oinsert(X16,X18,X19) != c_Set_Oinsert(X16,X17,X19)
      | hBOOL(hAPP(hAPP(c_in(X19),X16),X17))
      | hBOOL(hAPP(hAPP(c_in(X19),X16),X18))
      | X18 = X17 ),
    inference(variable_rename,[status(thm)],[c_0_421]) ).

fof(c_0_706_707,plain,
    ! [X16,X17,X18,X19] :
      ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X18,X17,tc_fun(X19,tc_bool)),X16))
      | ~ hBOOL(hAPP(X18,X16)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_422])])]) ).

fof(c_0_707_708,plain,
    ! [X16,X17,X18,X19] :
      ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X18,X17,tc_fun(X19,tc_bool)),X16))
      | ~ hBOOL(hAPP(X17,X16)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_423])])]) ).

fof(c_0_708_709,plain,
    ! [X31,X32,X33] :
      ( ~ hBOOL(hAPP(X32,X31))
      | ~ hBOOL(hAPP(hAPP(c_in(X33),X31),c_Orderings_Obot__class_Obot(tc_fun(X33,tc_bool)))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_424])])]) ).

fof(c_0_709_710,plain,
    ! [X16,X17,X18,X19] :
      ( c_lessequals(X18,X17,tc_fun(X19,tc_bool))
      | ~ c_lessequals(c_Set_Oinsert(X16,X18,X19),X17,tc_fun(X19,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_425]) ).

fof(c_0_710_711,plain,
    ! [X26,X27,X28,X29,X30,X31,X32] :
      ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X32),X29),X31),X27) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X32),X28),X30),X26)
      | X27 = X26 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_426])])]) ).

fof(c_0_711_712,plain,
    ! [X26,X27,X28,X29,X30,X31,X32] :
      ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X32),X29),X31),X27) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X32),X28),X30),X26)
      | X31 = X30 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_427])])]) ).

fof(c_0_712_713,plain,
    ! [X26,X27,X28,X29,X30,X31,X32] :
      ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X32),X29),X31),X27) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X32),X28),X30),X26)
      | X29 = X28 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_428])])]) ).

fof(c_0_713_714,plain,
    ! [X31,X32,X33] :
      ( hBOOL(hAPP(X32,X31))
      | ~ hBOOL(hAPP(hAPP(c_in(X33),X31),c_Orderings_Obot__class_Obot(tc_fun(X33,tc_bool)))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_429])])]) ).

fof(c_0_714_715,plain,
    ! [X16,X17,X18] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X17,c_HOL_Ominus__class_Ominus(X16,X17,tc_fun(X18,tc_bool)),tc_fun(X18,tc_bool)) = X16
      | ~ c_lessequals(X17,X16,tc_fun(X18,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_430]) ).

fof(c_0_715_716,plain,
    ! [X47,X48,X49,X50] :
      ( ~ class_Lattices_Oupper__semilattice(X50)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X49,X48,X50),X47,X50)
      | ~ c_lessequals(X48,X47,X50)
      | ~ c_lessequals(X49,X47,X50) ),
    inference(variable_rename,[status(thm)],[c_0_431]) ).

fof(c_0_716_717,plain,
    ! [X11,X12,X13,X14] :
      ( ~ class_Lattices_Oupper__semilattice(X14)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X12,X11,X14),X13,X14)
      | ~ c_lessequals(X11,X13,X14)
      | ~ c_lessequals(X12,X13,X14) ),
    inference(variable_rename,[status(thm)],[c_0_432]) ).

fof(c_0_717_718,plain,
    ! [X11,X12,X13,X14] :
      ( ~ class_Lattices_Oupper__semilattice(X14)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X13,X12,X14),X11,X14)
      | ~ c_lessequals(X12,X11,X14)
      | ~ c_lessequals(X13,X11,X14) ),
    inference(variable_rename,[status(thm)],[c_0_433]) ).

fof(c_0_718_719,plain,
    ! [X47,X48,X49] :
      ( c_Set_Oinsert(X48,c_Orderings_Obot__class_Obot(tc_fun(X49,tc_bool)),X49) != c_Set_Oinsert(X47,c_Orderings_Obot__class_Obot(tc_fun(X49,tc_bool)),X49)
      | X48 = X47 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_434])])]) ).

fof(c_0_719_720,plain,
    ! [X11,X12,X13,X14] :
      ( ~ class_Lattices_Oupper__semilattice(X14)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X13,X12,X14),X11,X14) = c_Lattices_Oupper__semilattice__class_Osup(X13,c_Lattices_Oupper__semilattice__class_Osup(X12,X11,X14),X14) ),
    inference(variable_rename,[status(thm)],[c_0_435]) ).

fof(c_0_720_721,plain,
    ! [X11,X12,X13,X14] :
      ( ~ class_Lattices_Oupper__semilattice(X14)
      | c_Lattices_Oupper__semilattice__class_Osup(X13,c_Lattices_Oupper__semilattice__class_Osup(X12,X11,X14),X14) = c_Lattices_Oupper__semilattice__class_Osup(X12,c_Lattices_Oupper__semilattice__class_Osup(X13,X11,X14),X14) ),
    inference(variable_rename,[status(thm)],[c_0_436]) ).

fof(c_0_721_722,plain,
    ! [X11,X12,X13,X14] :
      ( ~ class_Lattices_Olattice(X14)
      | c_Lattices_Oupper__semilattice__class_Osup(X13,c_Lattices_Oupper__semilattice__class_Osup(X12,X11,X14),X14) = c_Lattices_Oupper__semilattice__class_Osup(X12,c_Lattices_Oupper__semilattice__class_Osup(X13,X11,X14),X14) ),
    inference(variable_rename,[status(thm)],[c_0_437]) ).

fof(c_0_722_723,plain,
    ! [X11,X12,X13,X14] :
      ( ~ class_Lattices_Olattice(X14)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X13,X12,X14),X11,X14) = c_Lattices_Oupper__semilattice__class_Osup(X13,c_Lattices_Oupper__semilattice__class_Osup(X12,X11,X14),X14) ),
    inference(variable_rename,[status(thm)],[c_0_438]) ).

fof(c_0_723_724,plain,
    ! [X29,X30,X31,X32] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X31,X29,X32)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X31,c_Set_Oinsert(X30,X29,tc_Hoare__Mirabelle_Otriple(X32)),X32) ),
    inference(variable_rename,[status(thm)],[c_0_439]) ).

fof(c_0_724_725,plain,
    ! [X47,X48,X49] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X49)
      | c_lessequals(X48,X47,X49)
      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X48,X47,X49),c_HOL_Ozero__class_Ozero(X49),X49) ),
    inference(variable_rename,[status(thm)],[c_0_440]) ).

fof(c_0_725_726,plain,
    ! [X49,X50,X51,X52] :
      ( c_lessequals(X51,X49,tc_fun(X52,tc_bool))
      | ~ c_lessequals(X50,X49,tc_fun(X52,tc_bool))
      | ~ c_lessequals(X51,X50,tc_fun(X52,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_441]) ).

fof(c_0_726_727,plain,
    ! [X51,X52,X53,X54,X55] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X55)
      | c_HOL_Ominus__class_Ominus(X54,X52,X55) != c_HOL_Ominus__class_Ominus(X53,X51,X55)
      | c_lessequals(X51,X53,X55)
      | ~ c_lessequals(X52,X54,X55) ),
    inference(variable_rename,[status(thm)],[c_0_442]) ).

fof(c_0_727_728,plain,
    ! [X51,X52,X53,X54,X55] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X55)
      | c_HOL_Ominus__class_Ominus(X54,X52,X55) != c_HOL_Ominus__class_Ominus(X53,X51,X55)
      | c_lessequals(X52,X54,X55)
      | ~ c_lessequals(X51,X53,X55) ),
    inference(variable_rename,[status(thm)],[c_0_443]) ).

fof(c_0_728_729,plain,
    ! [X47,X48,X49,X50] :
      ( ~ class_Lattices_Oupper__semilattice(X50)
      | c_lessequals(X49,X47,X50)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X49,X48,X50),X47,X50) ),
    inference(variable_rename,[status(thm)],[c_0_444]) ).

fof(c_0_729_730,plain,
    ! [X47,X48,X49,X50] :
      ( ~ class_Lattices_Oupper__semilattice(X50)
      | c_lessequals(X48,X47,X50)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X49,X48,X50),X47,X50) ),
    inference(variable_rename,[status(thm)],[c_0_445]) ).

fof(c_0_730_731,plain,
    ! [X11,X12,X13,X14] :
      ( ~ class_Lattices_Oupper__semilattice(X14)
      | c_lessequals(X13,X11,X14)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X13,X12,X14),X11,X14) ),
    inference(variable_rename,[status(thm)],[c_0_446]) ).

fof(c_0_731_732,plain,
    ! [X11,X12,X13,X14] :
      ( ~ class_Lattices_Oupper__semilattice(X14)
      | c_lessequals(X12,X11,X14)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X13,X12,X14),X11,X14) ),
    inference(variable_rename,[status(thm)],[c_0_447]) ).

fof(c_0_732_733,plain,
    ! [X41,X42,X43,X44] :
      ( c_lessequals(X43,c_Set_Oinsert(X41,X42,X44),tc_fun(X44,tc_bool))
      | ~ c_lessequals(X43,X42,tc_fun(X44,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_448]) ).

fof(c_0_733_734,plain,
    ! [X41,X42,X43,X44] :
      ( c_Natural_Oevaln(c_Com_Ocom_OWhile(X44,X43),X41,X42,X41)
      | hBOOL(hAPP(X44,X41)) ),
    inference(variable_rename,[status(thm)],[c_0_449]) ).

fof(c_0_734_735,plain,
    ! [X16,X17,X18,X19] :
      ( hBOOL(hAPP(c_Set_Oinsert(X16,X18,X19),X17))
      | ~ hBOOL(hAPP(X18,X17)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_450])])]) ).

fof(c_0_735_736,plain,
    ! [X42,X43,X44,X45] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X44,X43,X45)
      | ~ c_lessequals(X43,X42,tc_fun(tc_Hoare__Mirabelle_Otriple(X45),tc_bool))
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X44,X42,X45) ),
    inference(variable_rename,[status(thm)],[c_0_451]) ).

fof(c_0_736_737,plain,
    ! [X29,X30,X31,X32] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X31,X29,X32)
      | ~ c_lessequals(X30,X31,tc_fun(tc_Hoare__Mirabelle_Otriple(X32),tc_bool))
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X30,X29,X32) ),
    inference(variable_rename,[status(thm)],[c_0_452]) ).

fof(c_0_737_738,plain,
    ! [X16,X17,X18] :
      ( ~ class_HOL_Ominus(X18)
      | hAPP(c_HOL_Ominus__class_Ominus(X17,X16,tc_fun(t_a,X18)),v_x) = c_HOL_Ominus__class_Ominus(hAPP(X17,v_x),hAPP(X16,v_x),X18) ),
    inference(variable_rename,[status(thm)],[c_0_453]) ).

fof(c_0_738_739,plain,
    ! [X14,X15,X16] :
      ( ~ class_Lattices_Olattice(X16)
      | hAPP(c_Lattices_Oupper__semilattice__class_Osup(X15,X14,tc_fun(t_a,X16)),v_x) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(X15,v_x),hAPP(X14,v_x),X16) ),
    inference(variable_rename,[status(thm)],[c_0_454]) ).

fof(c_0_739_740,plain,
    ! [X47,X48,X49] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X49)
      | c_lessequals(c_HOL_Ominus__class_Ominus(X48,X47,X49),c_HOL_Ozero__class_Ozero(X49),X49)
      | ~ c_lessequals(X48,X47,X49) ),
    inference(variable_rename,[status(thm)],[c_0_455]) ).

fof(c_0_740_741,plain,
    ! [X19,X20] :
      ( X19 = X20
      | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OSKIP),X20),X19)) ),
    inference(variable_rename,[status(thm)],[c_0_456]) ).

fof(c_0_741_742,plain,
    ! [X47,X48,X49,X50] :
      ( ~ class_Lattices_Oupper__semilattice(X50)
      | c_lessequals(X47,c_Lattices_Oupper__semilattice__class_Osup(X49,X48,X50),X50)
      | ~ c_lessequals(X47,X49,X50) ),
    inference(variable_rename,[status(thm)],[c_0_457]) ).

fof(c_0_742_743,plain,
    ! [X47,X48,X49,X50] :
      ( ~ class_Lattices_Oupper__semilattice(X50)
      | c_lessequals(X47,c_Lattices_Oupper__semilattice__class_Osup(X49,X48,X50),X50)
      | ~ c_lessequals(X47,X48,X50) ),
    inference(variable_rename,[status(thm)],[c_0_458]) ).

fof(c_0_743_744,plain,
    ( ~ class_Lattices_Olattice(t_b)
    | hAPP(c_Lattices_Oupper__semilattice__class_Osup(v_f,v_g,tc_fun(t_a,t_b)),v_x) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(v_f,v_x),hAPP(v_g,v_x),t_b) ),
    c_0_459 ).

fof(c_0_744_745,plain,
    ! [X16,X17,X18] :
      ( X17 = X16
      | ~ c_lessequals(X16,X17,tc_fun(X18,tc_bool))
      | ~ c_lessequals(X17,X16,tc_fun(X18,tc_bool)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_460])])]) ).

fof(c_0_745_746,plain,
    ! [X16,X17,X18] :
      ( X17 = X16
      | ~ c_lessequals(X16,X17,tc_fun(X18,tc_bool))
      | ~ c_lessequals(X17,X16,tc_fun(X18,tc_bool)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_461])])]) ).

fof(c_0_746_747,plain,
    ! [X14,X15,X16,X17,X18] :
      ( ~ class_HOL_Oord(X17)
      | c_lessequals(hAPP(X16,X14),hAPP(X15,X14),X17)
      | ~ c_lessequals(X16,X15,tc_fun(X18,X17)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_462])])]) ).

fof(c_0_747_748,plain,
    ! [X46,X47,X48] :
      ( c_Set_Oinsert(X47,X46,X48) != c_Orderings_Obot__class_Obot(tc_fun(X48,tc_bool))
      | hBOOL(hAPP(hAPP(c_in(X48),X47),X46)) ),
    inference(variable_rename,[status(thm)],[c_0_463]) ).

fof(c_0_748_749,plain,
    ! [X11,X12,X13,X14] :
      ( ~ class_Orderings_Oorder(X14)
      | c_lessequals(X11,X13,X14)
      | ~ c_lessequals(X11,X12,X14)
      | ~ c_lessequals(X12,X13,X14) ),
    inference(variable_rename,[status(thm)],[c_0_464]) ).

fof(c_0_749_750,plain,
    ! [X11,X12,X13,X14] :
      ( ~ class_Orderings_Opreorder(X14)
      | c_lessequals(X13,X11,X14)
      | ~ c_lessequals(X12,X11,X14)
      | ~ c_lessequals(X13,X12,X14) ),
    inference(variable_rename,[status(thm)],[c_0_465]) ).

fof(c_0_750_751,plain,
    ! [X16,X17] :
      ( X16 = c_Orderings_Obot__class_Obot(tc_fun(X17,tc_bool))
      | ~ c_lessequals(X16,c_Orderings_Obot__class_Obot(tc_fun(X17,tc_bool)),tc_fun(X17,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_466]) ).

fof(c_0_751_752,plain,
    ! [X29,X30,X31,X32] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X31,X29,X32)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X31,X30,X32)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X30,X29,X32) ),
    inference(variable_rename,[status(thm)],[c_0_467]) ).

fof(c_0_752_753,plain,
    ! [X47,X48,X49] :
      ( c_Set_Oinsert(X47,X48,X49) = X48
      | ~ hBOOL(hAPP(hAPP(c_in(X49),X47),X48)) ),
    inference(variable_rename,[status(thm)],[c_0_468]) ).

fof(c_0_753_754,plain,
    ! [X8,X9,X10] :
      ( ~ class_Lattices_Oupper__semilattice(X10)
      | c_Lattices_Oupper__semilattice__class_Osup(X9,c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X10),X10) = c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_469]) ).

fof(c_0_754_755,plain,
    ! [X8,X9,X10] :
      ( ~ class_Lattices_Olattice(X10)
      | c_Lattices_Oupper__semilattice__class_Osup(X9,c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X10),X10) = c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_470]) ).

fof(c_0_755_756,plain,
    ! [X47,X48,X49] :
      ( c_Com_OWT(hAPP(c_Com_Ocom_OBODY,X49))
      | ~ c_Com_OWT(c_Com_Ocom_OCall(X48,X49,X47)) ),
    inference(variable_rename,[status(thm)],[c_0_471]) ).

fof(c_0_756_757,plain,
    ! [X16,X17,X18] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X17,X16,tc_fun(X18,tc_bool)) != X16
      | c_lessequals(X17,X16,tc_fun(X18,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_472]) ).

fof(c_0_757_758,plain,
    ! [X16,X17,X18] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X17,X16,tc_fun(X18,tc_bool)) = X17
      | ~ c_lessequals(X16,X17,tc_fun(X18,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_473]) ).

fof(c_0_758_759,plain,
    ! [X16,X17,X18] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X17,X16,tc_fun(X18,tc_bool)) = X16
      | ~ c_lessequals(X17,X16,tc_fun(X18,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_474]) ).

fof(c_0_759_760,plain,
    ! [X34,X35,X36,X37] :
      ( hBOOL(hAPP(X35,X34))
      | ~ hBOOL(hAPP(X36,X34))
      | ~ c_lessequals(X36,X35,tc_fun(X37,tc_bool)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_475])])]) ).

fof(c_0_760_761,plain,
    ! [X34,X35,X36,X37] :
      ( hBOOL(hAPP(X35,X34))
      | ~ c_lessequals(X36,X35,tc_fun(X37,tc_bool))
      | ~ hBOOL(hAPP(X36,X34)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_476])])]) ).

fof(c_0_761_762,plain,
    ! [X67,X68,X69] :
      ( hBOOL(hAPP(X68,X67))
      | ~ hBOOL(hAPP(hAPP(c_in(X69),X67),X68)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_477])])]) ).

fof(c_0_762_763,plain,
    ! [X29,X30,X31] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X30,X29,X31)
      | ~ c_lessequals(X29,X30,tc_fun(tc_Hoare__Mirabelle_Otriple(X31),tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_478]) ).

fof(c_0_763_764,plain,
    ! [X16,X17,X18] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X17,X16,tc_fun(X18,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X18,tc_bool))
      | X16 = c_Orderings_Obot__class_Obot(tc_fun(X18,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_479]) ).

fof(c_0_764_765,plain,
    ! [X16,X17,X18] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X17,X16,tc_fun(X18,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X18,tc_bool))
      | X17 = c_Orderings_Obot__class_Obot(tc_fun(X18,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_480]) ).

fof(c_0_765_766,plain,
    ! [X8,X9,X10] :
      ( ~ class_Orderings_Oorder(X10)
      | X9 = X8
      | ~ c_lessequals(X8,X9,X10)
      | ~ c_lessequals(X9,X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_481]) ).

fof(c_0_766_767,plain,
    ! [X8,X9,X10] :
      ( ~ class_Orderings_Oorder(X10)
      | X9 = X8
      | ~ c_lessequals(X8,X9,X10)
      | ~ c_lessequals(X9,X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_482]) ).

fof(c_0_767_768,plain,
    ! [X8,X9,X10] :
      ( ~ class_Orderings_Oorder(X10)
      | X9 = X8
      | ~ c_lessequals(X9,X8,X10)
      | ~ c_lessequals(X8,X9,X10) ),
    inference(variable_rename,[status(thm)],[c_0_483]) ).

fof(c_0_768_769,plain,
    ! [X46,X47,X48,X49] :
      ( ~ class_OrderedGroup_Oab__group__add(X49)
      | c_HOL_Ominus__class_Ominus(X47,X46,X49) != c_HOL_Ominus__class_Ominus(X48,X48,X49)
      | X47 = X46 ),
    inference(variable_rename,[status(thm)],[c_0_484]) ).

fof(c_0_769_770,plain,
    ! [X51,X52,X53,X54] :
      ( ~ class_OrderedGroup_Oab__group__add(X54)
      | c_HOL_Ominus__class_Ominus(X53,X53,X54) != c_HOL_Ominus__class_Ominus(X52,X51,X54)
      | X52 = X51 ),
    inference(variable_rename,[status(thm)],[c_0_485]) ).

fof(c_0_770_771,plain,
    ! [X47,X48,X49] :
      ( c_Com_OWT(X47)
      | ~ c_Com_OWT(c_Com_Ocom_OLocal(X49,X48,X47)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_486])])]) ).

fof(c_0_771_772,plain,
    ! [X41,X42,X43] :
      ( c_Com_OWT(X41)
      | ~ c_Com_OWT(c_Com_Ocom_OCond(X43,X42,X41)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_487])])]) ).

fof(c_0_772_773,plain,
    ! [X41,X42,X43] :
      ( c_Com_OWT(X42)
      | ~ c_Com_OWT(c_Com_Ocom_OCond(X43,X42,X41)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_488])])]) ).

fof(c_0_773_774,plain,
    ! [X64,X65,X66,X67,X68,X69] :
      ( c_Com_Ocom_OCall(X65,X67,X69) != c_Com_Ocom_OCall(X64,X66,X68)
      | X69 = X68 ),
    inference(variable_rename,[status(thm)],[c_0_489]) ).

fof(c_0_774_775,plain,
    ! [X64,X65,X66,X67,X68,X69] :
      ( c_Com_Ocom_OCall(X65,X67,X69) != c_Com_Ocom_OCall(X64,X66,X68)
      | X67 = X66 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_490])])]) ).

fof(c_0_775_776,plain,
    ! [X64,X65,X66,X67,X68,X69] :
      ( c_Com_Ocom_OCall(X65,X67,X69) != c_Com_Ocom_OCall(X64,X66,X68)
      | X65 = X64 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_491])])]) ).

fof(c_0_776_777,plain,
    ! [X76,X77,X78,X79,X80,X81] :
      ( c_Com_Ocom_OCond(X77,X81,X79) != c_Com_Ocom_OCond(X76,X80,X78)
      | X79 = X78 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_492])])]) ).

fof(c_0_777_778,plain,
    ! [X76,X77,X78,X79,X80,X81] :
      ( c_Com_Ocom_OCond(X77,X81,X79) != c_Com_Ocom_OCond(X76,X80,X78)
      | X81 = X80 ),
    inference(variable_rename,[status(thm)],[c_0_493]) ).

fof(c_0_778_779,plain,
    ! [X76,X77,X78,X79,X80,X81] :
      ( c_Com_Ocom_OCond(X77,X81,X79) != c_Com_Ocom_OCond(X76,X80,X78)
      | X77 = X76 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_494])])]) ).

fof(c_0_779_780,plain,
    ! [X62,X63,X64,X65,X66,X67] :
      ( c_Com_Ocom_OLocal(X63,X65,X67) != c_Com_Ocom_OLocal(X62,X64,X66)
      | X67 = X66 ),
    inference(variable_rename,[status(thm)],[c_0_495]) ).

fof(c_0_780_781,plain,
    ! [X62,X63,X64,X65,X66,X67] :
      ( c_Com_Ocom_OLocal(X63,X65,X67) != c_Com_Ocom_OLocal(X62,X64,X66)
      | X65 = X64 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_496])])]) ).

fof(c_0_781_782,plain,
    ! [X62,X63,X64,X65,X66,X67] :
      ( c_Com_Ocom_OLocal(X63,X65,X67) != c_Com_Ocom_OLocal(X62,X64,X66)
      | X63 = X62 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_497])])]) ).

fof(c_0_782_783,plain,
    ! [X4,X5,X6] :
      ( X5 = X4
      | ~ hBOOL(hAPP(hAPP(c_fequal(X6),X5),X4)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_498])])]) ).

fof(c_0_783_784,plain,
    ! [X8,X9,X10] :
      ( ~ class_Lattices_Oupper__semilattice(X10)
      | c_lessequals(X9,c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X10),X10) ),
    inference(variable_rename,[status(thm)],[c_0_499]) ).

fof(c_0_784_785,plain,
    ! [X8,X9,X10] :
      ( ~ class_Lattices_Oupper__semilattice(X10)
      | c_lessequals(X8,c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X10),X10) ),
    inference(variable_rename,[status(thm)],[c_0_500]) ).

fof(c_0_785_786,plain,
    ! [X8,X9,X10] :
      ( ~ class_Lattices_Olattice(X10)
      | c_lessequals(X8,c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X10),X10) ),
    inference(variable_rename,[status(thm)],[c_0_501]) ).

fof(c_0_786_787,plain,
    ! [X8,X9,X10] :
      ( ~ class_Lattices_Olattice(X10)
      | c_lessequals(X9,c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X10),X10) ),
    inference(variable_rename,[status(thm)],[c_0_502]) ).

fof(c_0_787_788,plain,
    ! [X67,X68,X69] :
      ( hBOOL(hAPP(hAPP(c_in(X69),X67),X68))
      | ~ hBOOL(hAPP(X68,X67)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_503])])]) ).

fof(c_0_788_789,plain,
    ! [X47,X48,X49] :
      ( c_Com_OWT(c_Com_Ocom_OCall(X49,X47,X48))
      | ~ c_Com_OWT(hAPP(c_Com_Ocom_OBODY,X47)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_504])])]) ).

fof(c_0_789_790,plain,
    ! [X36,X37,X38] :
      ( c_Hoare__Mirabelle_Otriple__valid(X37,X36,X38)
      | ~ c_Hoare__Mirabelle_Otriple__valid(c_Suc(X37),X36,X38) ),
    inference(variable_rename,[status(thm)],[c_0_505]) ).

fof(c_0_790_791,plain,
    ! [X8,X9,X10] :
      ( ~ class_Lattices_Oupper__semilattice(X10)
      | c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X10) != X8
      | c_lessequals(X9,X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_506]) ).

fof(c_0_791_792,plain,
    ! [X8,X9,X10] :
      ( ~ class_Lattices_Oupper__semilattice(X10)
      | c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X10) = X8
      | ~ c_lessequals(X9,X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_507]) ).

fof(c_0_792_793,plain,
    ! [X8,X9,X10] :
      ( ~ class_Lattices_Oupper__semilattice(X10)
      | c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X10) = X9
      | ~ c_lessequals(X8,X9,X10) ),
    inference(variable_rename,[status(thm)],[c_0_508]) ).

fof(c_0_793_794,plain,
    ! [X29,X30,X31] :
      ( c_Hoare__Mirabelle_Ohoare__valids(X30,X29,X31)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X30,X29,X31) ),
    inference(variable_rename,[status(thm)],[c_0_509]) ).

fof(c_0_794_795,plain,
    ! [X41,X42,X43] :
      ( c_Com_OWT(c_Com_Ocom_OCond(X43,X42,X41))
      | ~ c_Com_OWT(X41)
      | ~ c_Com_OWT(X42) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_510])])]) ).

fof(c_0_795_796,plain,
    ! [X47,X48] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X48)
      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X47,X48) = c_HOL_Ozero__class_Ozero(X48)
      | ~ c_lessequals(X47,c_HOL_Ozero__class_Ozero(X48),X48) ),
    inference(variable_rename,[status(thm)],[c_0_511]) ).

fof(c_0_796_797,plain,
    ! [X47,X48,X49] :
      ( c_Com_OWT(c_Com_Ocom_OLocal(X49,X48,X47))
      | ~ c_Com_OWT(X47) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_512])])]) ).

fof(c_0_797_798,plain,
    ! [X47,X48] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X48)
      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X47,X48) = X47
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X48),X47,X48) ),
    inference(variable_rename,[status(thm)],[c_0_513]) ).

fof(c_0_798_799,plain,
    ! [X8,X9,X10] :
      ( ~ class_Orderings_Olinorder(X10)
      | c_lessequals(X8,X9,X10)
      | c_lessequals(X9,X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_514]) ).

fof(c_0_799_800,plain,
    ! [X8,X9,X10] :
      ( ~ class_Lattices_Oupper__semilattice(X10)
      | c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X10) = c_Lattices_Oupper__semilattice__class_Osup(X8,X9,X10) ),
    inference(variable_rename,[status(thm)],[c_0_515]) ).

fof(c_0_800_801,plain,
    ! [X8,X9,X10] :
      ( ~ class_Lattices_Olattice(X10)
      | c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X10) = c_Lattices_Oupper__semilattice__class_Osup(X8,X9,X10) ),
    inference(variable_rename,[status(thm)],[c_0_516]) ).

fof(c_0_801_802,plain,
    ! [X8,X9,X10] :
      ( ~ class_Ring__and__Field_Oidom(X10)
      | ~ class_Int_Onumber__ring(X10)
      | c_HOL_Ominus__class_Ominus(X9,X8,X10) != c_HOL_Ozero__class_Ozero(X10)
      | X9 = X8 ),
    inference(variable_rename,[status(thm)],[c_0_517]) ).

fof(c_0_802_803,plain,
    ! [X16,X17,X18] :
      ( ~ class_Lattices_Obounded__lattice(X18)
      | c_Lattices_Oupper__semilattice__class_Osup(X17,X16,X18) != c_Orderings_Obot__class_Obot(X18)
      | X17 = c_Orderings_Obot__class_Obot(X18) ),
    inference(variable_rename,[status(thm)],[c_0_518]) ).

fof(c_0_803_804,plain,
    ! [X16,X17,X18] :
      ( ~ class_Lattices_Obounded__lattice(X18)
      | c_Lattices_Oupper__semilattice__class_Osup(X17,X16,X18) != c_Orderings_Obot__class_Obot(X18)
      | X16 = c_Orderings_Obot__class_Obot(X18) ),
    inference(variable_rename,[status(thm)],[c_0_519]) ).

fof(c_0_804_805,plain,
    ! [X47,X48,X49] :
      ( ~ class_OrderedGroup_Ogroup__add(X49)
      | c_HOL_Ominus__class_Ominus(X48,X47,X49) != c_HOL_Ozero__class_Ozero(X49)
      | X48 = X47 ),
    inference(variable_rename,[status(thm)],[c_0_520]) ).

fof(c_0_805_806,plain,
    ! [X47,X48,X49] :
      ( ~ class_OrderedGroup_Oab__group__add(X49)
      | c_HOL_Ominus__class_Ominus(X48,X47,X49) != c_HOL_Ozero__class_Ozero(X49)
      | X48 = X47 ),
    inference(variable_rename,[status(thm)],[c_0_521]) ).

fof(c_0_806_807,plain,
    ! [X47,X48] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X48)
      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X47,X48) != c_HOL_Ozero__class_Ozero(X48)
      | c_lessequals(X47,c_HOL_Ozero__class_Ozero(X48),X48) ),
    inference(variable_rename,[status(thm)],[c_0_522]) ).

fof(c_0_807_808,plain,
    ! [X47,X48] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X48)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X48),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X47,X48),X48) ),
    inference(variable_rename,[status(thm)],[c_0_523]) ).

fof(c_0_808_809,plain,
    ! [X47,X48] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X48)
      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X47,X48) != X47
      | c_lessequals(c_HOL_Ozero__class_Ozero(X48),X47,X48) ),
    inference(variable_rename,[status(thm)],[c_0_524]) ).

fof(c_0_809_810,plain,
    ! [X14] :
      ( ~ class_Orderings_Obot(X14)
      | hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X14)),v_x) = c_Orderings_Obot__class_Obot(X14) ),
    inference(variable_rename,[status(thm)],[c_0_525]) ).

fof(c_0_810_811,plain,
    ! [X14] :
      ( ~ class_Orderings_Otop(X14)
      | hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,X14)),v_x) = c_Orderings_Otop__class_Otop(X14) ),
    inference(variable_rename,[status(thm)],[c_0_526]) ).

fof(c_0_811_812,plain,
    ! [X8,X9] :
      ( ~ class_Ring__and__Field_Oidom(X9)
      | ~ class_Int_Onumber__ring(X9)
      | c_HOL_Ominus__class_Ominus(X8,X8,X9) = c_HOL_Ozero__class_Ozero(X9) ),
    inference(variable_rename,[status(thm)],[c_0_527]) ).

fof(c_0_812_813,plain,
    ! [X8,X9] :
      ( ~ class_Lattices_Obounded__lattice(X9)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(X9),X8,X9) = c_Orderings_Otop__class_Otop(X9) ),
    inference(variable_rename,[status(thm)],[c_0_528]) ).

fof(c_0_813_814,plain,
    ! [X8,X9] :
      ( ~ class_Lattices_Obounded__lattice(X9)
      | c_Lattices_Oupper__semilattice__class_Osup(X8,c_Orderings_Otop__class_Otop(X9),X9) = c_Orderings_Otop__class_Otop(X9) ),
    inference(variable_rename,[status(thm)],[c_0_529]) ).

fof(c_0_814_815,plain,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(t_a)
    | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(v_x,t_a) = c_Lattices_Oupper__semilattice__class_Osup(v_x,c_HOL_Ozero__class_Ozero(t_a),t_a) ),
    c_0_530 ).

fof(c_0_815_816,plain,
    ! [X47,X48] :
      ( ~ class_OrderedGroup_Ogroup__add(X48)
      | c_HOL_Ominus__class_Ominus(X47,c_HOL_Ozero__class_Ozero(X48),X48) = X47 ),
    inference(variable_rename,[status(thm)],[c_0_531]) ).

fof(c_0_816_817,plain,
    ! [X8,X9] :
      ( ~ class_Lattices_Obounded__lattice(X9)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X9),X8,X9) = X8 ),
    inference(variable_rename,[status(thm)],[c_0_532]) ).

fof(c_0_817_818,plain,
    ! [X8,X9] :
      ( ~ class_Lattices_Obounded__lattice(X9)
      | c_Lattices_Oupper__semilattice__class_Osup(X8,c_Orderings_Obot__class_Obot(X9),X9) = X8 ),
    inference(variable_rename,[status(thm)],[c_0_533]) ).

fof(c_0_818_819,plain,
    ! [X8,X9] :
      ( ~ class_Orderings_Obot(X9)
      | c_lessequals(c_Orderings_Obot__class_Obot(X9),X8,X9) ),
    inference(variable_rename,[status(thm)],[c_0_534]) ).

fof(c_0_819_820,plain,
    ! [X8,X9] :
      ( ~ class_Orderings_Otop(X9)
      | c_lessequals(X8,c_Orderings_Otop__class_Otop(X9),X9) ),
    inference(variable_rename,[status(thm)],[c_0_535]) ).

fof(c_0_820_821,plain,
    ! [X8,X9] :
      ( ~ class_OrderedGroup_Oab__group__add(X9)
      | c_HOL_Ominus__class_Ominus(X8,X8,X9) = c_HOL_Ozero__class_Ozero(X9) ),
    inference(variable_rename,[status(thm)],[c_0_536]) ).

fof(c_0_821_822,plain,
    ! [X8,X9] :
      ( ~ class_OrderedGroup_Ogroup__add(X9)
      | c_HOL_Ominus__class_Ominus(X8,X8,X9) = c_HOL_Ozero__class_Ozero(X9) ),
    inference(variable_rename,[status(thm)],[c_0_537]) ).

fof(c_0_822_823,plain,
    ! [X47,X48] :
      ( ~ class_OrderedGroup_Ogroup__add(X48)
      | c_HOL_Ominus__class_Ominus(X47,X47,X48) = c_HOL_Ozero__class_Ozero(X48) ),
    inference(variable_rename,[status(thm)],[c_0_538]) ).

fof(c_0_823_824,plain,
    ! [X8,X9] :
      ( ~ class_Lattices_Oupper__semilattice(X9)
      | c_Lattices_Oupper__semilattice__class_Osup(X8,X8,X9) = X8 ),
    inference(variable_rename,[status(thm)],[c_0_539]) ).

fof(c_0_824_825,plain,
    ! [X8,X9] :
      ( ~ class_Orderings_Oorder(X9)
      | c_lessequals(X8,X8,X9) ),
    inference(variable_rename,[status(thm)],[c_0_540]) ).

fof(c_0_825_826,plain,
    ! [X8,X9] :
      ( ~ class_Orderings_Opreorder(X9)
      | c_lessequals(X8,X8,X9) ),
    inference(variable_rename,[status(thm)],[c_0_541]) ).

fof(c_0_826_827,plain,
    ! [X41,X42] :
      ( c_Com_OWT(X41)
      | ~ c_Com_OWT(c_Com_Ocom_OWhile(X42,X41)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_542])])]) ).

fof(c_0_827_828,plain,
    ! [X40,X41] :
      ( c_Com_OWT(X40)
      | ~ c_Com_OWT(c_Com_Ocom_OSemi(X41,X40)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_543])])]) ).

fof(c_0_828_829,plain,
    ! [X40,X41] :
      ( c_Com_OWT(X41)
      | ~ c_Com_OWT(c_Com_Ocom_OSemi(X41,X40)) ),
    inference(variable_rename,[status(thm)],[c_0_544]) ).

fof(c_0_829_830,plain,
    ! [X76,X77,X78,X79] :
      ( c_Com_Ocom_OSemi(X79,X77) != c_Com_Ocom_OSemi(X78,X76)
      | X77 = X76 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_545])])]) ).

fof(c_0_830_831,plain,
    ! [X76,X77,X78,X79] :
      ( c_Com_Ocom_OSemi(X79,X77) != c_Com_Ocom_OSemi(X78,X76)
      | X79 = X78 ),
    inference(variable_rename,[status(thm)],[c_0_546]) ).

fof(c_0_831_832,plain,
    ! [X72,X73,X74] :
      ( c_Option_Ooption_OSome(X73,X74) != c_Option_Ooption_OSome(X72,X74)
      | X73 = X72 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_547])])]) ).

fof(c_0_832_833,plain,
    ! [X62,X63,X64,X65] :
      ( c_Com_Ocom_OWhile(X63,X65) != c_Com_Ocom_OWhile(X62,X64)
      | X63 = X62 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_548])])]) ).

fof(c_0_833_834,plain,
    ! [X62,X63,X64,X65] :
      ( c_Com_Ocom_OWhile(X63,X65) != c_Com_Ocom_OWhile(X62,X64)
      | X65 = X64 ),
    inference(variable_rename,[status(thm)],[c_0_549]) ).

fof(c_0_834_835,plain,
    ! [X64,X65,X66,X67] :
      ( c_Com_Ocom_OAss(X65,X67) != c_Com_Ocom_OAss(X64,X66)
      | X67 = X66 ),
    inference(variable_rename,[status(thm)],[c_0_550]) ).

fof(c_0_835_836,plain,
    ! [X64,X65,X66,X67] :
      ( c_Com_Ocom_OAss(X65,X67) != c_Com_Ocom_OAss(X64,X66)
      | X65 = X64 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_551])])]) ).

fof(c_0_836_837,plain,
    ! [X39,X40] :
      ( c_Com_OWT(c_Com_Ocom_OSemi(X40,X39))
      | ~ c_Com_OWT(X39)
      | ~ c_Com_OWT(X40) ),
    inference(variable_rename,[status(thm)],[c_0_552]) ).

fof(c_0_837_838,plain,
    ! [X33] :
      ( c_Com_OWT(hAPP(c_Com_Ocom_OBODY,X33))
      | hAPP(c_Com_Obody,X33) = c_Option_Ooption_ONone(tc_Com_Ocom) ),
    inference(variable_rename,[status(thm)],[c_0_553]) ).

fof(c_0_838_839,plain,
    ! [X10,X11] :
      ( hAPP(c_Com_Ocom_OBODY,X11) != hAPP(c_Com_Ocom_OBODY,X10)
      | X11 = X10 ),
    inference(variable_rename,[status(thm)],[c_0_554]) ).

fof(c_0_839_840,plain,
    ! [X41,X42] :
      ( c_Com_OWT(c_Com_Ocom_OWhile(X42,X41))
      | ~ c_Com_OWT(X41) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_555])])]) ).

fof(c_0_840_841,plain,
    ! [X6,X7] :
      ( class_Lattices_Oupper__semilattice(tc_fun(X6,X7))
      | ~ class_Lattices_Olattice(X7) ),
    inference(variable_rename,[status(thm)],[c_0_556]) ).

fof(c_0_841_842,plain,
    ! [X6,X7] :
      ( class_Lattices_Obounded__lattice(tc_fun(X6,X7))
      | ~ class_Lattices_Obounded__lattice(X7) ),
    inference(variable_rename,[status(thm)],[c_0_557]) ).

fof(c_0_842_843,plain,
    ! [X6,X7] :
      ( class_Orderings_Opreorder(tc_fun(X6,X7))
      | ~ class_Orderings_Opreorder(X7) ),
    inference(variable_rename,[status(thm)],[c_0_558]) ).

fof(c_0_843_844,plain,
    ! [X6,X7] :
      ( class_Lattices_Olattice(tc_fun(X6,X7))
      | ~ class_Lattices_Olattice(X7) ),
    inference(variable_rename,[status(thm)],[c_0_559]) ).

fof(c_0_844_845,plain,
    ! [X6,X7] :
      ( class_Orderings_Oorder(tc_fun(X6,X7))
      | ~ class_Orderings_Oorder(X7) ),
    inference(variable_rename,[status(thm)],[c_0_560]) ).

fof(c_0_845_846,plain,
    ! [X6,X7] :
      ( class_Orderings_Otop(tc_fun(X6,X7))
      | ~ class_Orderings_Otop(X7) ),
    inference(variable_rename,[status(thm)],[c_0_561]) ).

fof(c_0_846_847,plain,
    ! [X6,X7] :
      ( class_Orderings_Obot(tc_fun(X6,X7))
      | ~ class_Orderings_Obot(X7) ),
    inference(variable_rename,[status(thm)],[c_0_562]) ).

fof(c_0_847_848,plain,
    ! [X6,X7] :
      ( class_HOL_Ominus(tc_fun(X6,X7))
      | ~ class_HOL_Ominus(X7) ),
    inference(variable_rename,[status(thm)],[c_0_563]) ).

fof(c_0_848_849,plain,
    ! [X6,X7] :
      ( class_HOL_Oord(tc_fun(X6,X7))
      | ~ class_HOL_Oord(X7) ),
    inference(variable_rename,[status(thm)],[c_0_564]) ).

fof(c_0_849_850,plain,
    ! [X4] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
      | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(variable_rename,[status(thm)],[c_0_565]) ).

fof(c_0_850_851,plain,
    ! [X8,X9] :
      ( c_Suc(X9) != c_Suc(X8)
      | X9 = X8 ),
    inference(variable_rename,[status(thm)],[c_0_566]) ).

fof(c_0_851_852,plain,
    ! [X71,X72] :
      ( c_Suc(X72) != c_Suc(X71)
      | X72 = X71 ),
    inference(variable_rename,[status(thm)],[c_0_567]) ).

cnf(c_0_852_853,plain,
    ( c_Hoare__Mirabelle_Ohoare__valids(X1,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),X4,tc_Com_Opname,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X5,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X2)),X2)
    | ~ c_Hoare__Mirabelle_Ohoare__valids(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),X4,tc_Com_Opname,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X5,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X2)),tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),tc_Com_Opname),c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),X4,tc_Com_Opname,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X5,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X2)),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_568]) ).

cnf(c_0_853_854,plain,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),X4,tc_Com_Opname,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X5,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X2)),X2)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),X4,tc_Com_Opname,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X5,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X2)),tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),tc_Com_Opname),c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),X4,tc_Com_Opname,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X5,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X2)),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_569]) ).

cnf(c_0_854_855,plain,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),hAPP(X3,X6)),hAPP(c_Com_Ocom_OBODY,X6)),hAPP(X4,X6)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X2)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),X4,tc_Com_Opname,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X5,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X2)),tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),tc_Com_Opname),c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),X4,tc_Com_Opname,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X5,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X2)),X2)
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Com_Opname),X6),X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_570]) ).

cnf(c_0_855_856,plain,
    ( c_lessequals(X2,X3,tc_fun(X1,tc_bool))
    | ~ c_lessequals(c_COMBC(c_in(X1),X2,X1,tc_fun(X1,tc_bool),tc_bool),c_COMBC(c_in(X1),X3,X1,tc_fun(X1,tc_bool),tc_bool),tc_fun(X1,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_571]) ).

cnf(c_0_856_857,plain,
    ( ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5)
    | ~ hBOOL(hAPP(hAPP(c_in(X5),hAPP(X1,X2)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5))) ),
    inference(split_conjunct,[status(thm)],[c_0_572]) ).

cnf(c_0_857_858,plain,
    ( c_lessequals(c_COMBC(c_in(X3),X1,X3,tc_fun(X3,tc_bool),tc_bool),c_COMBC(c_in(X3),X2,X3,tc_fun(X3,tc_bool),tc_bool),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_573]) ).

cnf(c_0_858_859,plain,
    ( hAPP(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6) = hAPP(c_Fun_Ocomp(X7,X8,X9,X4,X10),X11)
    | hAPP(X1,hAPP(X2,X6)) != hAPP(X7,hAPP(X8,X11)) ),
    inference(split_conjunct,[status(thm)],[c_0_574]) ).

cnf(c_0_859_860,plain,
    ( c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X6,X5,X3),X3,X4)
    | ~ c_Fun_Oinj__on(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6,X5,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_575]) ).

cnf(c_0_860_861,plain,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X5,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X2),hAPP(c_Com_Ocom_OBODY,X3)),X4),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_bool)),tc_Hoare__Mirabelle_Otriple(X1)),X1)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X2),hAPP(c_Com_Ocom_OBODY,X3)),X4),X5,tc_Hoare__Mirabelle_Otriple(X1)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X2),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X3))),X4),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_bool)),tc_Hoare__Mirabelle_Otriple(X1)),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_576]) ).

cnf(c_0_861_862,plain,
    ( hBOOL(hAPP(hAPP(c_in(X4),hAPP(X1,X5)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3,X4)))
    | c_Fun_Oinj__on(X1,c_Set_Oinsert(X5,X2,X3),X3,X4)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_577]) ).

cnf(c_0_862_863,plain,
    ( c_Fun_Oinj__on(c_Fun_Ocomp(X5,X1,X4,X6,X3),X2,X3,X6)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_Fun_Oinj__on(X5,c_Set_Oimage(X1,X2,X3,X4),X4,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_578]) ).

cnf(c_0_863_864,plain,
    ( X1 = X2
    | c_COMBC(c_in(X3),X1,X3,tc_fun(X3,tc_bool),tc_bool) != c_COMBC(c_in(X3),X2,X3,tc_fun(X3,tc_bool),tc_bool) ),
    inference(split_conjunct,[status(thm)],[c_0_579]) ).

cnf(c_0_864_865,plain,
    ( hAPP(X1,hAPP(X2,X3)) = hAPP(X4,hAPP(X5,X3))
    | c_Fun_Ocomp(X1,X2,X6,X7,X8) != c_Fun_Ocomp(X4,X5,X9,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_580]) ).

cnf(c_0_865_866,plain,
    ( hAPP(X1,hAPP(X2,X3)) = hAPP(X4,X3)
    | c_Fun_Ocomp(X1,X2,X5,X6,X7) != c_Fun_Ocomp(c_Fun_Oid(X6),X4,X6,X6,X7) ),
    inference(split_conjunct,[status(thm)],[c_0_581]) ).

cnf(c_0_866_867,plain,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),c_Com_Ocom_OSemi(X4,X6)),X7),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X2)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),X4),X5),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X2)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X5),X6),X7),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_582]) ).

cnf(c_0_867_868,plain,
    ( hBOOL(hAPP(X1,hAPP(hAPP(hAPP(X2,X3),X4),X5)))
    | ~ hBOOL(hAPP(X1,c_Hoare__Mirabelle_Otriple_Otriple__case(X2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),X3),X4),X5),t_b,t_a))) ),
    inference(split_conjunct,[status(thm)],[c_0_583]) ).

cnf(c_0_868_869,plain,
    ( hBOOL(hAPP(X1,hAPP(hAPP(hAPP(X2,X3),X4),X5)))
    | ~ hBOOL(hAPP(X1,c_Hoare__Mirabelle_Otriple_Otriple__case(X2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),X3),X4),X5),t_b,t_a))) ),
    inference(split_conjunct,[status(thm)],[c_0_584]) ).

cnf(c_0_869_870,plain,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),hAPP(c_Com_Ocom_OBODY,X4)),X5),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X2)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X4))),X5),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_585]) ).

cnf(c_0_870_871,plain,
    ( hAPP(X3,X2) = X4
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X1,X5))) ),
    inference(split_conjunct,[status(thm)],[c_0_586]) ).

cnf(c_0_871_872,plain,
    ( c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),X2),X1),X3),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
    | ~ c_Hoare__Mirabelle_Ohoare__valids(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),X2),X1),X3),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
    inference(split_conjunct,[status(thm)],[c_0_587]) ).

cnf(c_0_872_873,plain,
    ( hBOOL(hAPP(hAPP(c_in(X2),X4),X5))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ hBOOL(hAPP(hAPP(c_in(X3),hAPP(X1,X4)),c_Set_Oimage(X1,X5,X2,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_588]) ).

cnf(c_0_873_874,plain,
    ( c_lessequals(X4,X5,tc_fun(X2,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ c_lessequals(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_589]) ).

cnf(c_0_874_875,plain,
    ( c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X5,X6,tc_fun(X3,tc_bool)),X3,X4) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X5,X3,X4),c_Set_Oimage(X1,X6,X3,X4),tc_fun(X4,tc_bool))
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X6,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_590]) ).

cnf(c_0_875_876,plain,
    ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X2),X4),X5))
    | hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X3),X4),X5))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(X1,X2,X3)),X4),X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_591]) ).

cnf(c_0_876_877,plain,
    ( c_lessequals(c_Set_Ovimage(X1,X4,X2,X3),X5,tc_fun(X2,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ c_lessequals(X4,c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_592]) ).

cnf(c_0_877_878,plain,
    ( c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X4,X5,tc_fun(X2,tc_bool)),X2,X3) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_593]) ).

cnf(c_0_878_879,plain,
    ( hBOOL(hAPP(hAPP(c_in(X5),hAPP(X3,X2)),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,X4,X1,X5))) ),
    inference(split_conjunct,[status(thm)],[c_0_594]) ).

cnf(c_0_879_880,plain,
    ( hBOOL(hAPP(hAPP(c_in(X5),hAPP(X3,X2)),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,X4,X1,X5))) ),
    inference(split_conjunct,[status(thm)],[c_0_595]) ).

cnf(c_0_880_881,plain,
    ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X2),X4),X5))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(X1,X2,X3)),X4),X5))
    | ~ hBOOL(hAPP(X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_596]) ).

cnf(c_0_881_882,plain,
    ( hBOOL(hAPP(hAPP(c_in(X3),hAPP(X1,X4)),c_Set_Oimage(X1,X5,X2,X3)))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ hBOOL(hAPP(hAPP(c_in(X2),X4),X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_597]) ).

cnf(c_0_882_883,plain,
    ( hBOOL(hAPP(X1,X4))
    | hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X3),X4),X5))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(X1,X2,X3)),X4),X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_598]) ).

cnf(c_0_883_884,plain,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X2,c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(hAPP(c_Com_Ocom_OBODY,X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(hAPP(c_Com_Ocom_OBODY,X1)),X2,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
    inference(split_conjunct,[status(thm)],[c_0_599]) ).

cnf(c_0_884_885,plain,
    ( hBOOL(hAPP(X2,hAPP(X1,X5)))
    | ~ hBOOL(hAPP(c_Set_Ovimage(X1,X2,X3,X4),X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_600]) ).

cnf(c_0_885_886,plain,
    ( c_lessequals(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ c_lessequals(X4,X5,tc_fun(X2,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_601]) ).

cnf(c_0_886_887,plain,
    ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,X1)),X2),X3))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1))),X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_602]) ).

cnf(c_0_887_888,plain,
    ( hBOOL(hAPP(hAPP(c_in(X5),X3),c_Set_Ovimage(X2,X4,X5,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_603]) ).

cnf(c_0_888_889,plain,
    ( hBOOL(hAPP(hAPP(c_in(X5),X3),c_Set_Ovimage(X2,X4,X5,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_604]) ).

cnf(c_0_889_890,plain,
    ( hBOOL(hAPP(hAPP(c_in(X5),X3),c_Set_Ovimage(X2,X4,X5,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_605]) ).

cnf(c_0_890_891,plain,
    ( X1 = X2
    | ~ c_Fun_Oinj__on(X3,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X4,tc_bool)),X4,X5)
    | c_Set_Oimage(X3,X1,X4,X5) != c_Set_Oimage(X3,X2,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_606]) ).

cnf(c_0_891_892,plain,
    ( c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_607]) ).

cnf(c_0_892_893,plain,
    ( c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_608]) ).

cnf(c_0_893_894,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,X4,X5,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X3),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_609]) ).

cnf(c_0_894_895,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,X4,X5,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X3),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_610]) ).

cnf(c_0_895_896,plain,
    ( hBOOL(hAPP(hAPP(c_in(X4),hAPP(X5,X2)),c_Set_Oimage(X5,X3,X1,X4)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_611]) ).

cnf(c_0_896_897,plain,
    ( hBOOL(hAPP(hAPP(c_in(X4),hAPP(X5,X2)),c_Set_Oimage(X5,X3,X1,X4)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_612]) ).

cnf(c_0_897_898,plain,
    ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1))),X2),X3))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,X1)),X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_613]) ).

cnf(c_0_898_899,plain,
    ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(X1,X3,X5)),X2),X4))
    | ~ hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X3),X2),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_614]) ).

cnf(c_0_899_900,plain,
    ( hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(X1,X5,X3)),X2),X4))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X3),X2),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_615]) ).

cnf(c_0_900_901,plain,
    ( c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_616]) ).

cnf(c_0_901_902,plain,
    ( c_Hoare__Mirabelle_Otriple__valid(c_Suc(X1),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),hAPP(c_Com_Ocom_OBODY,X4)),X5),X2)
    | ~ c_Hoare__Mirabelle_Otriple__valid(X1,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X4))),X5),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_617]) ).

cnf(c_0_902_903,plain,
    ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OWhile(X1,X3)),X2),X5))
    | ~ hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X3),X2),X4))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OWhile(X1,X3)),X4),X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_618]) ).

cnf(c_0_903_904,plain,
    ( hBOOL(hAPP(hAPP(c_in(X4),hAPP(X1,X6)),X5))
    | ~ c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_619]) ).

cnf(c_0_904_905,plain,
    ( X1 = X2
    | ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5)
    | c_Set_Oimage(X3,X1,X4,X5) != c_Set_Oimage(X3,X2,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_620]) ).

cnf(c_0_905_906,plain,
    ( c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1)),X2,c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(X1,X3,X2,X4),X4)
    | ~ c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X1),X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_621]) ).

cnf(c_0_906_907,plain,
    ( c_Set_Ovimage(X1,c_Set_Oimage(X1,X4,X2,X3),X2,X3) = X4
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_622]) ).

cnf(c_0_907_908,plain,
    ( c_Hoare__Mirabelle_Otriple__valid(X1,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X4))),X5),X2)
    | ~ c_Hoare__Mirabelle_Otriple__valid(c_Suc(X1),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),hAPP(c_Com_Ocom_OBODY,X4)),X5),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_623]) ).

cnf(c_0_908_909,plain,
    ( c_lessequals(c_Set_Ovimage(X4,X1,X5,X3),c_Set_Ovimage(X4,X2,X5,X3),tc_fun(X5,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_624]) ).

cnf(c_0_909_910,plain,
    ( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))
    | ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_625]) ).

cnf(c_0_910_911,plain,
    ( c_lessequals(c_Set_Oimage(X4,X1,X3,X5),c_Set_Oimage(X4,X2,X3,X5),tc_fun(X5,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_626]) ).

cnf(c_0_911_912,plain,
    ( hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3))
    | ~ hBOOL(hAPP(X1,hAPP(X2,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_627]) ).

cnf(c_0_912_913,plain,
    ( c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X3),X2,X4,X6)
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_Natural_Oevaln(X3,X2,X4,X5)
    | ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X3),X5,X4,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_628]) ).

cnf(c_0_913_914,plain,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))
    | ~ c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_629]) ).

cnf(c_0_914_915,plain,
    ( c_Natural_Oevaln(X2,X4,X5,X6)
    | c_Natural_Oevaln(X3,X4,X5,X6)
    | ~ c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X2,X3),X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_630]) ).

cnf(c_0_915_916,plain,
    ( c_Natural_Oevaln(c_Com_Ocom_OSemi(X1,X5),X2,X3,X6)
    | ~ c_Natural_Oevaln(X1,X2,X3,X4)
    | ~ c_Natural_Oevaln(X5,X4,X3,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_631]) ).

cnf(c_0_916_917,plain,
    ( hBOOL(hAPP(hAPP(X4,X5),X7))
    | ~ c_Hoare__Mirabelle_Otriple__valid(X1,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),X3),X4),t_a)
    | ~ hBOOL(hAPP(hAPP(X2,X5),X6))
    | ~ c_Natural_Oevaln(X3,X6,X1,X7) ),
    inference(split_conjunct,[status(thm)],[c_0_632]) ).

cnf(c_0_917_918,plain,
    ( c_Set_Oinsert(hAPP(X4,X2),c_Set_Oimage(X4,X3,X1,X5),X5) = c_Set_Oimage(X4,X3,X1,X5)
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_633]) ).

cnf(c_0_918_919,plain,
    ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OSemi(X1,X4)),X2),X5))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X4),X3),X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_634]) ).

cnf(c_0_919_920,plain,
    ( X3 = c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(X1,X3,X2,X4))
    | ~ c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X1),X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_635]) ).

cnf(c_0_920_921,plain,
    ( c_Fun_Oinj__on(X1,X3,X4,X5)
    | ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_636]) ).

cnf(c_0_921_922,plain,
    ( c_Fun_Oinj__on(X1,X2,X4,X5)
    | ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_637]) ).

cnf(c_0_922_923,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X1,tc_bool)))) ),
    inference(split_conjunct,[status(thm)],[c_0_638]) ).

cnf(c_0_923_924,plain,
    ( c_Natural_Oevaln(X2,X4,X5,X6)
    | ~ c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X2,X3),X4,X5,X6)
    | ~ hBOOL(hAPP(X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_639]) ).

cnf(c_0_924_925,plain,
    ( X1 = X2
    | X1 = X3
    | c_Set_Oinsert(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) ),
    inference(split_conjunct,[status(thm)],[c_0_640]) ).

cnf(c_0_925_926,plain,
    ( X1 = X2
    | X3 = X2
    | c_Set_Oinsert(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X2,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_641]) ).

cnf(c_0_926_927,plain,
    ( X1 = X2
    | X3 = X2
    | c_Set_Oinsert(X3,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X5,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_642]) ).

cnf(c_0_927_928,plain,
    ( X1 = X2
    | X1 = X3
    | c_Set_Oinsert(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) ),
    inference(split_conjunct,[status(thm)],[c_0_643]) ).

cnf(c_0_928_929,plain,
    ( hBOOL(hAPP(X1,X4))
    | c_Natural_Oevaln(X3,X4,X5,X6)
    | ~ c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X2,X3),X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_644]) ).

cnf(c_0_929_930,plain,
    ( X2 = X3
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_645]) ).

cnf(c_0_930_931,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_646]) ).

cnf(c_0_931_932,plain,
    ( c_Fun_Oinj__on(X1,X3,X4,X5)
    | ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_647]) ).

cnf(c_0_932_933,plain,
    ( c_Set_Oinsert(X2,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),tc_fun(X1,tc_bool)),X1) = X3
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_648]) ).

cnf(c_0_933_934,plain,
    ( c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X3,X6),X2,X4,X5)
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_Natural_Oevaln(X3,X2,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_649]) ).

cnf(c_0_934_935,plain,
    ( c_Fun_Oinj__on(X1,c_HOL_Ominus__class_Ominus(X2,X5,tc_fun(X3,tc_bool)),X3,X4)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_650]) ).

cnf(c_0_935_936,plain,
    ( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X1),X2,c_Suc(X3),X4)
    | ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1)),X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_651]) ).

cnf(c_0_936_937,plain,
    ( hBOOL(hAPP(X1,X2))
    | c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X6,X3),X2,X4,X5)
    | ~ c_Natural_Oevaln(X3,X2,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_652]) ).

cnf(c_0_937_938,plain,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X2,X4,tc_Hoare__Mirabelle_Otriple(X3)),X3)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)),tc_Hoare__Mirabelle_Otriple(X3)),X3)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_653]) ).

cnf(c_0_938_939,plain,
    ( X5 = X6
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X5),X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X2))
    | hAPP(X1,X5) != hAPP(X1,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_654]) ).

cnf(c_0_939_940,plain,
    ( X1 = X2
    | ~ c_Fun_Oinj__on(X3,X4,X5,X6)
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X1),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X2),X4))
    | hAPP(X3,X1) != hAPP(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_655]) ).

cnf(c_0_940_941,plain,
    ( X1 = X2
    | ~ c_Fun_Oinj__on(X3,X4,X5,X6)
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X1),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X2),X4))
    | hAPP(X3,X1) != hAPP(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_656]) ).

cnf(c_0_941_942,plain,
    ( X2 = X4
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X4),X3))
    | ~ c_Fun_Oinj__on(X5,X3,X1,X6)
    | hAPP(X5,X2) != hAPP(X5,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_657]) ).

cnf(c_0_942_943,plain,
    ( c_Fun_Oinj__on(X1,X5,X3,X4)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_658]) ).

cnf(c_0_943_944,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool)))) ),
    inference(split_conjunct,[status(thm)],[c_0_659]) ).

cnf(c_0_944_945,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_660]) ).

cnf(c_0_945_946,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_661]) ).

cnf(c_0_946_947,plain,
    ( c_Natural_Oevaln(X1,X2,c_Suc(X3),X4)
    | ~ c_Natural_Oevaln(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_662]) ).

cnf(c_0_947_948,plain,
    ( X4 = X3
    | hBOOL(hAPP(X1,X3))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OWhile(X1,X2)),X3),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_663]) ).

cnf(c_0_948_949,plain,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X5,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_664]) ).

cnf(c_0_949_950,plain,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_665]) ).

cnf(c_0_950_951,plain,
    ( X2 = X3
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X3,X4,X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_666]) ).

cnf(c_0_951_952,plain,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X4),tc_bool)),tc_Hoare__Mirabelle_Otriple(X4)),X4)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X2,X3,tc_Hoare__Mirabelle_Otriple(X4)),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_667]) ).

cnf(c_0_952_953,plain,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))
    | ~ c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_668]) ).

cnf(c_0_953_954,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_669]) ).

cnf(c_0_954_955,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | X1 = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
    | ~ c_lessequals(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_670]) ).

cnf(c_0_955_956,plain,
    ( hBOOL(hAPP(X1,X4))
    | hBOOL(hAPP(X2,X4))
    | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_671]) ).

cnf(c_0_956_957,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X1,tc_bool))))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_672]) ).

cnf(c_0_957_958,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(X4,X3,tc_fun(X1,tc_bool))))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_673]) ).

cnf(c_0_958_959,plain,
    ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X1),X2),X4))
    | ~ c_Natural_Oevaln(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_674]) ).

cnf(c_0_959_960,plain,
    ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X1),X2),X4))
    | ~ c_Natural_Oevaln(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_675]) ).

cnf(c_0_960_961,plain,
    ( X4 = X3
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X1),X2),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_676]) ).

cnf(c_0_961_962,plain,
    ( X1 = X2
    | ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5)
    | hAPP(X3,X1) != hAPP(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_677]) ).

cnf(c_0_962_963,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X2,X3,X1),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),tc_fun(X1,tc_bool)) = X3 ),
    inference(split_conjunct,[status(thm)],[c_0_678]) ).

cnf(c_0_963_964,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X2,X4,X1),X3,tc_fun(X1,tc_bool)) = c_Set_Oinsert(X2,c_HOL_Ominus__class_Ominus(X4,X3,tc_fun(X1,tc_bool)),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_679]) ).

cnf(c_0_964_965,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X4,X3,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_680]) ).

cnf(c_0_965_966,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X4,X3,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_681]) ).

cnf(c_0_966_967,plain,
    ( c_HOL_Ominus__class_Ominus(X2,c_HOL_Ominus__class_Ominus(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_682]) ).

cnf(c_0_967_968,plain,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_683]) ).

cnf(c_0_968_969,plain,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_684]) ).

cnf(c_0_969_970,plain,
    ( hBOOL(hAPP(hAPP(c_in(X4),X2),X1))
    | c_lessequals(X1,X3,tc_fun(X4,tc_bool))
    | ~ c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_685]) ).

cnf(c_0_970_971,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_lessequals(X3,X4,tc_fun(X1,tc_bool))
    | ~ c_lessequals(X3,c_Set_Oinsert(X2,X4,X1),tc_fun(X1,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_686]) ).

cnf(c_0_971_972,plain,
    ( c_lessequals(c_Set_Oinsert(X2,X4,X1),X3,tc_fun(X1,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ c_lessequals(X4,X3,tc_fun(X1,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_687]) ).

cnf(c_0_972_973,plain,
    ( X5 = X3
    | hBOOL(hAPP(X1,X3))
    | ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X2),X3,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_688]) ).

cnf(c_0_973_974,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Set_Oimage(X3,X1,X2,X4) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_689]) ).

cnf(c_0_974_975,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) != c_Set_Oimage(X4,X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_690]) ).

cnf(c_0_975_976,plain,
    ( c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_691]) ).

cnf(c_0_976_977,plain,
    ( c_lessequals(X1,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_692]) ).

cnf(c_0_977_978,plain,
    ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X2,X4,X1),X3,tc_fun(X1,tc_bool)) = c_HOL_Ominus__class_Ominus(X4,X3,tc_fun(X1,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_693]) ).

cnf(c_0_978_979,plain,
    ( X1 = X4
    | hBOOL(hAPP(X2,X4))
    | ~ hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_694]) ).

cnf(c_0_979_980,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_lessequals(X3,c_Set_Oinsert(X2,X4,X1),tc_fun(X1,tc_bool))
    | ~ c_lessequals(X3,X4,tc_fun(X1,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_695]) ).

cnf(c_0_980_981,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_lessequals(X3,c_Set_Oinsert(X2,X4,X1),tc_fun(X1,tc_bool))
    | ~ c_lessequals(X3,X4,tc_fun(X1,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_696]) ).

cnf(c_0_981_982,plain,
    ( c_lessequals(c_Set_Oinsert(X4,X1,X3),c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_697]) ).

cnf(c_0_982_983,plain,
    ( hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OWhile(X1,X3)),X2),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_698]) ).

cnf(c_0_983_984,plain,
    ( hBOOL(hAPP(hAPP(c_in(X3),X1),X4))
    | ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_699]) ).

cnf(c_0_984_985,plain,
    ( hBOOL(hAPP(hAPP(c_in(X3),X4),X2))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_700]) ).

cnf(c_0_985_986,plain,
    ( hBOOL(hAPP(hAPP(c_in(X3),X4),X2))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_701]) ).

cnf(c_0_986_987,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ c_lessequals(X3,X4,tc_fun(X1,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_702]) ).

cnf(c_0_987_988,plain,
    ( hBOOL(hAPP(hAPP(c_in(X3),X4),X2))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_703]) ).

cnf(c_0_988_989,plain,
    ( X3 = X1
    | ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_704]) ).

cnf(c_0_989_990,plain,
    ( X1 = X2
    | hBOOL(hAPP(hAPP(c_in(X3),X4),X1))
    | hBOOL(hAPP(hAPP(c_in(X3),X4),X2))
    | c_Set_Oinsert(X4,X1,X3) != c_Set_Oinsert(X4,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_705]) ).

cnf(c_0_990_991,plain,
    ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),X2))
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_706]) ).

cnf(c_0_991_992,plain,
    ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X4,tc_bool)),X2))
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_707]) ).

cnf(c_0_992_993,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))))
    | ~ hBOOL(hAPP(X3,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_708]) ).

cnf(c_0_993_994,plain,
    ( c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_709]) ).

cnf(c_0_994_995,plain,
    ( X1 = X2
    | hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X4),X5),X1) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X6),X7),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_710]) ).

cnf(c_0_995_996,plain,
    ( X1 = X2
    | hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X4),X1),X5) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X6),X2),X7) ),
    inference(split_conjunct,[status(thm)],[c_0_711]) ).

cnf(c_0_996_997,plain,
    ( X1 = X2
    | hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X1),X4),X5) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X2),X6),X7) ),
    inference(split_conjunct,[status(thm)],[c_0_712]) ).

cnf(c_0_997_998,plain,
    ( hBOOL(hAPP(X3,X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))) ),
    inference(split_conjunct,[status(thm)],[c_0_713]) ).

cnf(c_0_998_999,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_714]) ).

cnf(c_0_999_1000,plain,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_715]) ).

cnf(c_0_1000_1001,plain,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_716]) ).

cnf(c_0_1001_1002,plain,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_717]) ).

cnf(c_0_1002_1003,plain,
    ( X1 = X2
    | c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) != c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_718]) ).

cnf(c_0_1003_1004,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_719]) ).

cnf(c_0_1004_1005,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)
    | ~ class_Lattices_Oupper__semilattice(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_720]) ).

cnf(c_0_1005_1006,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)
    | ~ class_Lattices_Olattice(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_721]) ).

cnf(c_0_1006_1007,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_722]) ).

cnf(c_0_1007_1008,plain,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,X3,X4)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X2,X3,tc_Hoare__Mirabelle_Otriple(X4)),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_723]) ).

cnf(c_0_1008_1009,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_724]) ).

cnf(c_0_1009_1010,plain,
    ( c_lessequals(X1,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_725]) ).

cnf(c_0_1010_1011,plain,
    ( c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_726]) ).

cnf(c_0_1011_1012,plain,
    ( c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_727]) ).

cnf(c_0_1012_1013,plain,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_728]) ).

cnf(c_0_1013_1014,plain,
    ( c_lessequals(X2,X4,X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_729]) ).

cnf(c_0_1014_1015,plain,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_730]) ).

cnf(c_0_1015_1016,plain,
    ( c_lessequals(X2,X4,X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_731]) ).

cnf(c_0_1016_1017,plain,
    ( c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_732]) ).

cnf(c_0_1017_1018,plain,
    ( hBOOL(hAPP(X1,X2))
    | c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X3),X2,X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_733]) ).

cnf(c_0_1018_1019,plain,
    ( hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2))
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_734]) ).

cnf(c_0_1019_1020,plain,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
    | ~ c_lessequals(X4,X2,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_735]) ).

cnf(c_0_1020_1021,plain,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X4,X2,X3)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
    | ~ c_lessequals(X1,X4,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_736]) ).

cnf(c_0_1021_1022,plain,
    ( hAPP(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(t_a,X3)),v_x) = c_HOL_Ominus__class_Ominus(hAPP(X1,v_x),hAPP(X2,v_x),X3)
    | ~ class_HOL_Ominus(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_737]) ).

cnf(c_0_1022_1023,plain,
    ( hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(t_a,X3)),v_x) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(X1,v_x),hAPP(X2,v_x),X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_738]) ).

cnf(c_0_1023_1024,plain,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_739]) ).

cnf(c_0_1024_1025,plain,
    ( X2 = X1
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OSKIP),X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_740]) ).

cnf(c_0_1025_1026,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_741]) ).

cnf(c_0_1026_1027,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_742]) ).

cnf(c_0_1027_1028,plain,
    ( hAPP(c_Lattices_Oupper__semilattice__class_Osup(v_f,v_g,tc_fun(t_a,t_b)),v_x) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(v_f,v_x),hAPP(v_g,v_x),t_b)
    | ~ class_Lattices_Olattice(t_b) ),
    inference(split_conjunct,[status(thm)],[c_0_743]) ).

cnf(c_0_1028_1029,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_744]) ).

cnf(c_0_1029_1030,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_745]) ).

cnf(c_0_1030,plain,
    ( c_lessequals(hAPP(X1,X5),hAPP(X2,X5),X4)
    | ~ c_lessequals(X1,X2,tc_fun(X3,X4))
    | ~ class_HOL_Oord(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_746]) ).

cnf(c_0_1031,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_Set_Oinsert(X2,X3,X1) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_747]) ).

cnf(c_0_1032,plain,
    ( c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_748]) ).

cnf(c_0_1033,plain,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_749]) ).

cnf(c_0_1034,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_750]) ).

cnf(c_0_1035,plain,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X4,X2,X3)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X4,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_751]) ).

cnf(c_0_1036,plain,
    ( c_Set_Oinsert(X2,X3,X1) = X3
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_752]) ).

cnf(c_0_1037,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_753]) ).

cnf(c_0_1038,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_754]) ).

cnf(c_0_1039,plain,
    ( c_Com_OWT(hAPP(c_Com_Ocom_OBODY,X2))
    | ~ c_Com_OWT(c_Com_Ocom_OCall(X1,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_755]) ).

cnf(c_0_1040,plain,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_756]) ).

cnf(c_0_1041,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)) = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_757]) ).

cnf(c_0_1042,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_758]) ).

cnf(c_0_1043,plain,
    ( hBOOL(hAPP(X2,X4))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_759]) ).

cnf(c_0_1044,plain,
    ( hBOOL(hAPP(X3,X2))
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_760]) ).

cnf(c_0_1045,plain,
    ( hBOOL(hAPP(X3,X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_761]) ).

cnf(c_0_1046,plain,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X2,X1,X3)
    | ~ c_lessequals(X1,X2,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_762]) ).

cnf(c_0_1047,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X2,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_763]) ).

cnf(c_0_1048,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_764]) ).

cnf(c_0_1049,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_765]) ).

cnf(c_0_1050,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_766]) ).

cnf(c_0_1051,plain,
    ( X2 = X1
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_767]) ).

cnf(c_0_1052,plain,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X4,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_768]) ).

cnf(c_0_1053,plain,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X3,X3,X4) != c_HOL_Ominus__class_Ominus(X1,X2,X4)
    | ~ class_OrderedGroup_Oab__group__add(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_769]) ).

cnf(c_0_1054,plain,
    ( c_Com_OWT(X3)
    | ~ c_Com_OWT(c_Com_Ocom_OLocal(X1,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_770]) ).

cnf(c_0_1055,plain,
    ( c_Com_OWT(X3)
    | ~ c_Com_OWT(c_Com_Ocom_OCond(X1,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_771]) ).

cnf(c_0_1056,plain,
    ( c_Com_OWT(X2)
    | ~ c_Com_OWT(c_Com_Ocom_OCond(X1,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_772]) ).

cnf(c_0_1057,plain,
    ( X1 = X2
    | c_Com_Ocom_OCall(X3,X4,X1) != c_Com_Ocom_OCall(X5,X6,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_773]) ).

cnf(c_0_1058,plain,
    ( X1 = X2
    | c_Com_Ocom_OCall(X3,X1,X4) != c_Com_Ocom_OCall(X5,X2,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_774]) ).

cnf(c_0_1059,plain,
    ( X1 = X2
    | c_Com_Ocom_OCall(X1,X3,X4) != c_Com_Ocom_OCall(X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_775]) ).

cnf(c_0_1060,plain,
    ( X1 = X2
    | c_Com_Ocom_OCond(X3,X4,X1) != c_Com_Ocom_OCond(X5,X6,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_776]) ).

cnf(c_0_1061,plain,
    ( X1 = X2
    | c_Com_Ocom_OCond(X3,X1,X4) != c_Com_Ocom_OCond(X5,X2,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_777]) ).

cnf(c_0_1062,plain,
    ( X1 = X2
    | c_Com_Ocom_OCond(X1,X3,X4) != c_Com_Ocom_OCond(X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_778]) ).

cnf(c_0_1063,plain,
    ( X1 = X2
    | c_Com_Ocom_OLocal(X3,X4,X1) != c_Com_Ocom_OLocal(X5,X6,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_779]) ).

cnf(c_0_1064,plain,
    ( X1 = X2
    | c_Com_Ocom_OLocal(X3,X1,X4) != c_Com_Ocom_OLocal(X5,X2,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_780]) ).

cnf(c_0_1065,plain,
    ( X1 = X2
    | c_Com_Ocom_OLocal(X1,X3,X4) != c_Com_Ocom_OLocal(X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_781]) ).

cnf(c_0_1066,plain,
    ( X2 = X3
    | ~ hBOOL(hAPP(hAPP(c_fequal(X1),X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_782]) ).

cnf(c_0_1067,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_783]) ).

cnf(c_0_1068,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_784]) ).

cnf(c_0_1069,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_785]) ).

cnf(c_0_1070,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_786]) ).

cnf(c_0_1071,plain,
    ( hBOOL(hAPP(hAPP(c_in(X3),X2),X1))
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_787]) ).

cnf(c_0_1072,plain,
    ( c_Com_OWT(c_Com_Ocom_OCall(X2,X1,X3))
    | ~ c_Com_OWT(hAPP(c_Com_Ocom_OBODY,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_788]) ).

cnf(c_0_1073,plain,
    ( c_Hoare__Mirabelle_Otriple__valid(X1,X2,X3)
    | ~ c_Hoare__Mirabelle_Otriple__valid(c_Suc(X1),X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_789]) ).

cnf(c_0_1074,plain,
    ( c_lessequals(X1,X2,X3)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) != X2
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_790]) ).

cnf(c_0_1075,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_791]) ).

cnf(c_0_1076,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3) = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_792]) ).

cnf(c_0_1077,plain,
    ( c_Hoare__Mirabelle_Ohoare__valids(X1,X2,X3)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_793]) ).

cnf(c_0_1078,plain,
    ( c_Com_OWT(c_Com_Ocom_OCond(X3,X1,X2))
    | ~ c_Com_OWT(X1)
    | ~ c_Com_OWT(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_794]) ).

cnf(c_0_1079,plain,
    ( c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_795]) ).

cnf(c_0_1080,plain,
    ( c_Com_OWT(c_Com_Ocom_OLocal(X2,X3,X1))
    | ~ c_Com_OWT(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_796]) ).

cnf(c_0_1081,plain,
    ( c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X1) = X2
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_797]) ).

cnf(c_0_1082,plain,
    ( c_lessequals(X1,X2,X3)
    | c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_798]) ).

cnf(c_0_1083,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_799]) ).

cnf(c_0_1084,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_800]) ).

cnf(c_0_1085,plain,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_Int_Onumber__ring(X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_801]) ).

cnf(c_0_1086,plain,
    ( X1 = c_Orderings_Obot__class_Obot(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2) != c_Orderings_Obot__class_Obot(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_802]) ).

cnf(c_0_1087,plain,
    ( X1 = c_Orderings_Obot__class_Obot(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X3,X1,X2) != c_Orderings_Obot__class_Obot(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_803]) ).

cnf(c_0_1088,plain,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_804]) ).

cnf(c_0_1089,plain,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_805]) ).

cnf(c_0_1090,plain,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_806]) ).

cnf(c_0_1091,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_807]) ).

cnf(c_0_1092,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X1) != X2
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_808]) ).

cnf(c_0_1093,plain,
    ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X1)),v_x) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Orderings_Obot(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_809]) ).

cnf(c_0_1094,plain,
    ( hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,X1)),v_x) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Orderings_Otop(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_810]) ).

cnf(c_0_1095,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_811]) ).

cnf(c_0_1096,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(X1),X2,X1) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Lattices_Obounded__lattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_812]) ).

cnf(c_0_1097,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Otop__class_Otop(X2),X2) = c_Orderings_Otop__class_Otop(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_813]) ).

cnf(c_0_1098,plain,
    ( c_OrderedGroup_Olordered__ab__group__add__class_Opprt(v_x,t_a) = c_Lattices_Oupper__semilattice__class_Osup(v_x,c_HOL_Ozero__class_Ozero(t_a),t_a)
    | ~ class_OrderedGroup_Olordered__ab__group__add(t_a) ),
    inference(split_conjunct,[status(thm)],[c_0_814]) ).

cnf(c_0_1099,plain,
    ( c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_815]) ).

cnf(c_0_1100,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X1),X2,X1) = X2
    | ~ class_Lattices_Obounded__lattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_816]) ).

cnf(c_0_1101,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(X2),X2) = X1
    | ~ class_Lattices_Obounded__lattice(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_817]) ).

cnf(c_0_1102,plain,
    ( c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)
    | ~ class_Orderings_Obot(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_818]) ).

cnf(c_0_1103,plain,
    ( c_lessequals(X1,c_Orderings_Otop__class_Otop(X2),X2)
    | ~ class_Orderings_Otop(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_819]) ).

cnf(c_0_1104,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_820]) ).

cnf(c_0_1105,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_821]) ).

cnf(c_0_1106,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_822]) ).

cnf(c_0_1107,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X1,X2) = X1
    | ~ class_Lattices_Oupper__semilattice(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_823]) ).

cnf(c_0_1108,plain,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_824]) ).

cnf(c_0_1109,plain,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Opreorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_825]) ).

cnf(c_0_1110,plain,
    ( c_Com_OWT(X2)
    | ~ c_Com_OWT(c_Com_Ocom_OWhile(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_826]) ).

cnf(c_0_1111,plain,
    ( c_Com_OWT(X2)
    | ~ c_Com_OWT(c_Com_Ocom_OSemi(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_827]) ).

cnf(c_0_1112,plain,
    ( c_Com_OWT(X1)
    | ~ c_Com_OWT(c_Com_Ocom_OSemi(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_828]) ).

cnf(c_0_1113,plain,
    ( X1 = X2
    | c_Com_Ocom_OSemi(X3,X1) != c_Com_Ocom_OSemi(X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_829]) ).

cnf(c_0_1114,plain,
    ( X1 = X2
    | c_Com_Ocom_OSemi(X1,X3) != c_Com_Ocom_OSemi(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_830]) ).

cnf(c_0_1115,plain,
    ( X1 = X2
    | c_Option_Ooption_OSome(X1,X3) != c_Option_Ooption_OSome(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_831]) ).

cnf(c_0_1116,plain,
    ( X1 = X2
    | c_Com_Ocom_OWhile(X1,X3) != c_Com_Ocom_OWhile(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_832]) ).

cnf(c_0_1117,plain,
    ( X1 = X2
    | c_Com_Ocom_OWhile(X3,X1) != c_Com_Ocom_OWhile(X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_833]) ).

cnf(c_0_1118,plain,
    ( X1 = X2
    | c_Com_Ocom_OAss(X3,X1) != c_Com_Ocom_OAss(X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_834]) ).

cnf(c_0_1119,plain,
    ( X1 = X2
    | c_Com_Ocom_OAss(X1,X3) != c_Com_Ocom_OAss(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_835]) ).

cnf(c_0_1120,plain,
    ( c_Com_OWT(c_Com_Ocom_OSemi(X1,X2))
    | ~ c_Com_OWT(X1)
    | ~ c_Com_OWT(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_836]) ).

cnf(c_0_1121,plain,
    ( hAPP(c_Com_Obody,X1) = c_Option_Ooption_ONone(tc_Com_Ocom)
    | c_Com_OWT(hAPP(c_Com_Ocom_OBODY,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_837]) ).

cnf(c_0_1122,plain,
    ( X1 = X2
    | hAPP(c_Com_Ocom_OBODY,X1) != hAPP(c_Com_Ocom_OBODY,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_838]) ).

cnf(c_0_1123,plain,
    ( c_Com_OWT(c_Com_Ocom_OWhile(X2,X1))
    | ~ c_Com_OWT(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_839]) ).

cnf(c_0_1124,plain,
    ( class_Lattices_Oupper__semilattice(tc_fun(X2,X1))
    | ~ class_Lattices_Olattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_840]) ).

cnf(c_0_1125,plain,
    ( class_Lattices_Obounded__lattice(tc_fun(X2,X1))
    | ~ class_Lattices_Obounded__lattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_841]) ).

cnf(c_0_1126,plain,
    ( class_Orderings_Opreorder(tc_fun(X2,X1))
    | ~ class_Orderings_Opreorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_842]) ).

cnf(c_0_1127,plain,
    ( class_Lattices_Olattice(tc_fun(X2,X1))
    | ~ class_Lattices_Olattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_843]) ).

cnf(c_0_1128,plain,
    ( class_Orderings_Oorder(tc_fun(X2,X1))
    | ~ class_Orderings_Oorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_844]) ).

cnf(c_0_1129,plain,
    ( class_Orderings_Otop(tc_fun(X2,X1))
    | ~ class_Orderings_Otop(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_845]) ).

cnf(c_0_1130,plain,
    ( class_Orderings_Obot(tc_fun(X2,X1))
    | ~ class_Orderings_Obot(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_846]) ).

cnf(c_0_1131,plain,
    ( class_HOL_Ominus(tc_fun(X2,X1))
    | ~ class_HOL_Ominus(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_847]) ).

cnf(c_0_1132,plain,
    ( class_HOL_Oord(tc_fun(X2,X1))
    | ~ class_HOL_Oord(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_848]) ).

cnf(c_0_1133,plain,
    ( c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_849]) ).

cnf(c_0_1134,plain,
    ( X1 = X2
    | c_Suc(X1) != c_Suc(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_850]) ).

cnf(c_0_1135,plain,
    ( X1 = X2
    | c_Suc(X1) != c_Suc(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_851]) ).

cnf(c_0_1136,plain,
    ( c_Hoare__Mirabelle_Ohoare__valids(X1,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),X4,tc_Com_Opname,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X5,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X2)),X2)
    | ~ c_Hoare__Mirabelle_Ohoare__valids(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),X4,tc_Com_Opname,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X5,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X2)),tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),tc_Com_Opname),c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),X4,tc_Com_Opname,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X5,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X2)),X2) ),
    c_0_852,
    [final] ).

cnf(c_0_1137,plain,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),X4,tc_Com_Opname,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X5,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X2)),X2)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),X4,tc_Com_Opname,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X5,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X2)),tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),tc_Com_Opname),c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),X4,tc_Com_Opname,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X5,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X2)),X2) ),
    c_0_853,
    [final] ).

cnf(c_0_1138,plain,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),hAPP(X3,X6)),hAPP(c_Com_Ocom_OBODY,X6)),hAPP(X4,X6)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X2)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),X4,tc_Com_Opname,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X5,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X2)),tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),tc_Com_Opname),c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),X4,tc_Com_Opname,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X5,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X2)),X2)
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Com_Opname),X6),X5)) ),
    c_0_854,
    [final] ).

cnf(c_0_1139,plain,
    ( c_lessequals(X2,X3,tc_fun(X1,tc_bool))
    | ~ c_lessequals(c_COMBC(c_in(X1),X2,X1,tc_fun(X1,tc_bool),tc_bool),c_COMBC(c_in(X1),X3,X1,tc_fun(X1,tc_bool),tc_bool),tc_fun(X1,tc_bool)) ),
    c_0_855,
    [final] ).

cnf(c_0_1140,plain,
    ( ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5)
    | ~ hBOOL(hAPP(hAPP(c_in(X5),hAPP(X1,X2)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5))) ),
    c_0_856,
    [final] ).

cnf(c_0_1141,plain,
    ( c_lessequals(c_COMBC(c_in(X3),X1,X3,tc_fun(X3,tc_bool),tc_bool),c_COMBC(c_in(X3),X2,X3,tc_fun(X3,tc_bool),tc_bool),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    c_0_857,
    [final] ).

cnf(c_0_1142,plain,
    ( hAPP(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6) = hAPP(c_Fun_Ocomp(X7,X8,X9,X4,X10),X11)
    | hAPP(X1,hAPP(X2,X6)) != hAPP(X7,hAPP(X8,X11)) ),
    c_0_858,
    [final] ).

cnf(c_0_1143,plain,
    ( c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X6,X5,X3),X3,X4)
    | ~ c_Fun_Oinj__on(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6,X5,X4) ),
    c_0_859,
    [final] ).

cnf(c_0_1144,plain,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X5,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X2),hAPP(c_Com_Ocom_OBODY,X3)),X4),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_bool)),tc_Hoare__Mirabelle_Otriple(X1)),X1)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X2),hAPP(c_Com_Ocom_OBODY,X3)),X4),X5,tc_Hoare__Mirabelle_Otriple(X1)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X2),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X3))),X4),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_bool)),tc_Hoare__Mirabelle_Otriple(X1)),X1) ),
    c_0_860,
    [final] ).

cnf(c_0_1145,plain,
    ( hBOOL(hAPP(hAPP(c_in(X4),hAPP(X1,X5)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3,X4)))
    | c_Fun_Oinj__on(X1,c_Set_Oinsert(X5,X2,X3),X3,X4)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
    c_0_861,
    [final] ).

cnf(c_0_1146,plain,
    ( c_Fun_Oinj__on(c_Fun_Ocomp(X5,X1,X4,X6,X3),X2,X3,X6)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_Fun_Oinj__on(X5,c_Set_Oimage(X1,X2,X3,X4),X4,X6) ),
    c_0_862,
    [final] ).

cnf(c_0_1147,plain,
    ( X1 = X2
    | c_COMBC(c_in(X3),X1,X3,tc_fun(X3,tc_bool),tc_bool) != c_COMBC(c_in(X3),X2,X3,tc_fun(X3,tc_bool),tc_bool) ),
    c_0_863,
    [final] ).

cnf(c_0_1148,plain,
    ( hAPP(X1,hAPP(X2,X3)) = hAPP(X4,hAPP(X5,X3))
    | c_Fun_Ocomp(X1,X2,X6,X7,X8) != c_Fun_Ocomp(X4,X5,X9,X7,X8) ),
    c_0_864,
    [final] ).

cnf(c_0_1149,plain,
    ( hAPP(X1,hAPP(X2,X3)) = hAPP(X4,X3)
    | c_Fun_Ocomp(X1,X2,X5,X6,X7) != c_Fun_Ocomp(c_Fun_Oid(X6),X4,X6,X6,X7) ),
    c_0_865,
    [final] ).

cnf(c_0_1150,plain,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),c_Com_Ocom_OSemi(X4,X6)),X7),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X2)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),X4),X5),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X2)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X5),X6),X7),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X2) ),
    c_0_866,
    [final] ).

cnf(c_0_1151,plain,
    ( hBOOL(hAPP(X1,hAPP(hAPP(hAPP(X2,X3),X4),X5)))
    | ~ hBOOL(hAPP(X1,c_Hoare__Mirabelle_Otriple_Otriple__case(X2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),X3),X4),X5),t_b,t_a))) ),
    c_0_867,
    [final] ).

cnf(c_0_1152,plain,
    ( hBOOL(hAPP(X1,hAPP(hAPP(hAPP(X2,X3),X4),X5)))
    | ~ hBOOL(hAPP(X1,c_Hoare__Mirabelle_Otriple_Otriple__case(X2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),X3),X4),X5),t_b,t_a))) ),
    c_0_868,
    [final] ).

cnf(c_0_1153,plain,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),hAPP(c_Com_Ocom_OBODY,X4)),X5),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X2)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X4))),X5),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X2) ),
    c_0_869,
    [final] ).

cnf(c_0_1154,plain,
    ( hAPP(X3,X2) = X4
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X1,X5))) ),
    c_0_870,
    [final] ).

cnf(c_0_1155,plain,
    ( c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),X2),X1),X3),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
    | ~ c_Hoare__Mirabelle_Ohoare__valids(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),X2),X1),X3),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
    c_0_871,
    [final] ).

cnf(c_0_1156,plain,
    ( hBOOL(hAPP(hAPP(c_in(X2),X4),X5))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ hBOOL(hAPP(hAPP(c_in(X3),hAPP(X1,X4)),c_Set_Oimage(X1,X5,X2,X3))) ),
    c_0_872,
    [final] ).

cnf(c_0_1157,plain,
    ( c_lessequals(X4,X5,tc_fun(X2,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ c_lessequals(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) ),
    c_0_873,
    [final] ).

cnf(c_0_1158,plain,
    ( c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X5,X3,X4),c_Set_Oimage(X1,X6,X3,X4),tc_fun(X4,tc_bool)) = c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X5,X6,tc_fun(X3,tc_bool)),X3,X4)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X6,X2,tc_fun(X3,tc_bool)) ),
    c_0_874,
    [final] ).

cnf(c_0_1159,plain,
    ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X2),X4),X5))
    | hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X3),X4),X5))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(X1,X2,X3)),X4),X5)) ),
    c_0_875,
    [final] ).

cnf(c_0_1160,plain,
    ( c_lessequals(c_Set_Ovimage(X1,X4,X2,X3),X5,tc_fun(X2,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ c_lessequals(X4,c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) ),
    c_0_876,
    [final] ).

cnf(c_0_1161,plain,
    ( c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) = c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X4,X5,tc_fun(X2,tc_bool)),X2,X3)
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    c_0_877,
    [final] ).

cnf(c_0_1162,plain,
    ( hBOOL(hAPP(hAPP(c_in(X5),hAPP(X3,X2)),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,X4,X1,X5))) ),
    c_0_878,
    [final] ).

cnf(c_0_1163,plain,
    ( hBOOL(hAPP(hAPP(c_in(X5),hAPP(X3,X2)),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,X4,X1,X5))) ),
    c_0_879,
    [final] ).

cnf(c_0_1164,plain,
    ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X2),X4),X5))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(X1,X2,X3)),X4),X5))
    | ~ hBOOL(hAPP(X1,X4)) ),
    c_0_880,
    [final] ).

cnf(c_0_1165,plain,
    ( hBOOL(hAPP(hAPP(c_in(X3),hAPP(X1,X4)),c_Set_Oimage(X1,X5,X2,X3)))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ hBOOL(hAPP(hAPP(c_in(X2),X4),X5)) ),
    c_0_881,
    [final] ).

cnf(c_0_1166,plain,
    ( hBOOL(hAPP(X1,X4))
    | hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X3),X4),X5))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(X1,X2,X3)),X4),X5)) ),
    c_0_882,
    [final] ).

cnf(c_0_1167,plain,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X2,c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(hAPP(c_Com_Ocom_OBODY,X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(hAPP(c_Com_Ocom_OBODY,X1)),X2,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
    c_0_883,
    [final] ).

cnf(c_0_1168,plain,
    ( hBOOL(hAPP(X2,hAPP(X1,X5)))
    | ~ hBOOL(hAPP(c_Set_Ovimage(X1,X2,X3,X4),X5)) ),
    c_0_884,
    [final] ).

cnf(c_0_1169,plain,
    ( c_lessequals(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ c_lessequals(X4,X5,tc_fun(X2,tc_bool)) ),
    c_0_885,
    [final] ).

cnf(c_0_1170,plain,
    ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,X1)),X2),X3))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1))),X2),X3)) ),
    c_0_886,
    [final] ).

cnf(c_0_1171,plain,
    ( hBOOL(hAPP(hAPP(c_in(X5),X3),c_Set_Ovimage(X2,X4,X5,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4)) ),
    c_0_887,
    [final] ).

cnf(c_0_1172,plain,
    ( hBOOL(hAPP(hAPP(c_in(X5),X3),c_Set_Ovimage(X2,X4,X5,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4)) ),
    c_0_888,
    [final] ).

cnf(c_0_1173,plain,
    ( hBOOL(hAPP(hAPP(c_in(X5),X3),c_Set_Ovimage(X2,X4,X5,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4)) ),
    c_0_889,
    [final] ).

cnf(c_0_1174,plain,
    ( X1 = X2
    | ~ c_Fun_Oinj__on(X3,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X4,tc_bool)),X4,X5)
    | c_Set_Oimage(X3,X1,X4,X5) != c_Set_Oimage(X3,X2,X4,X5) ),
    c_0_890,
    [final] ).

cnf(c_0_1175,plain,
    ( c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X1)) ),
    c_0_891,
    [final] ).

cnf(c_0_1176,plain,
    ( c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X1)) ),
    c_0_892,
    [final] ).

cnf(c_0_1177,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,X4,X5,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X3),X4)) ),
    c_0_893,
    [final] ).

cnf(c_0_1178,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,X4,X5,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X3),X4)) ),
    c_0_894,
    [final] ).

cnf(c_0_1179,plain,
    ( hBOOL(hAPP(hAPP(c_in(X4),hAPP(X5,X2)),c_Set_Oimage(X5,X3,X1,X4)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    c_0_895,
    [final] ).

cnf(c_0_1180,plain,
    ( hBOOL(hAPP(hAPP(c_in(X4),hAPP(X5,X2)),c_Set_Oimage(X5,X3,X1,X4)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    c_0_896,
    [final] ).

cnf(c_0_1181,plain,
    ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1))),X2),X3))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,X1)),X2),X3)) ),
    c_0_897,
    [final] ).

cnf(c_0_1182,plain,
    ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(X1,X3,X5)),X2),X4))
    | ~ hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X3),X2),X4)) ),
    c_0_898,
    [final] ).

cnf(c_0_1183,plain,
    ( hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(X1,X5,X3)),X2),X4))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X3),X2),X4)) ),
    c_0_899,
    [final] ).

cnf(c_0_1184,plain,
    ( c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    c_0_900,
    [final] ).

cnf(c_0_1185,plain,
    ( c_Hoare__Mirabelle_Otriple__valid(c_Suc(X1),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),hAPP(c_Com_Ocom_OBODY,X4)),X5),X2)
    | ~ c_Hoare__Mirabelle_Otriple__valid(X1,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X4))),X5),X2) ),
    c_0_901,
    [final] ).

cnf(c_0_1186,plain,
    ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OWhile(X1,X3)),X2),X5))
    | ~ hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X3),X2),X4))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OWhile(X1,X3)),X4),X5)) ),
    c_0_902,
    [final] ).

cnf(c_0_1187,plain,
    ( hBOOL(hAPP(hAPP(c_in(X4),hAPP(X1,X6)),X5))
    | ~ c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X2)) ),
    c_0_903,
    [final] ).

cnf(c_0_1188,plain,
    ( X1 = X2
    | ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5)
    | c_Set_Oimage(X3,X1,X4,X5) != c_Set_Oimage(X3,X2,X4,X5) ),
    c_0_904,
    [final] ).

cnf(c_0_1189,plain,
    ( c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1)),X2,c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(X1,X3,X2,X4),X4)
    | ~ c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X1),X2,X3,X4) ),
    c_0_905,
    [final] ).

cnf(c_0_1190,plain,
    ( c_Set_Ovimage(X1,c_Set_Oimage(X1,X4,X2,X3),X2,X3) = X4
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    c_0_906,
    [final] ).

cnf(c_0_1191,plain,
    ( c_Hoare__Mirabelle_Otriple__valid(X1,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X4))),X5),X2)
    | ~ c_Hoare__Mirabelle_Otriple__valid(c_Suc(X1),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),hAPP(c_Com_Ocom_OBODY,X4)),X5),X2) ),
    c_0_907,
    [final] ).

cnf(c_0_1192,plain,
    ( c_lessequals(c_Set_Ovimage(X4,X1,X5,X3),c_Set_Ovimage(X4,X2,X5,X3),tc_fun(X5,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    c_0_908,
    [final] ).

cnf(c_0_1193,plain,
    ( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))
    | ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool)) ),
    c_0_909,
    [final] ).

cnf(c_0_1194,plain,
    ( c_lessequals(c_Set_Oimage(X4,X1,X3,X5),c_Set_Oimage(X4,X2,X3,X5),tc_fun(X5,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    c_0_910,
    [final] ).

cnf(c_0_1195,plain,
    ( hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3))
    | ~ hBOOL(hAPP(X1,hAPP(X2,X3))) ),
    c_0_911,
    [final] ).

cnf(c_0_1196,plain,
    ( c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X3),X2,X4,X6)
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_Natural_Oevaln(X3,X2,X4,X5)
    | ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X3),X5,X4,X6) ),
    c_0_912,
    [final] ).

cnf(c_0_1197,plain,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))
    | ~ c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X1)) ),
    c_0_913,
    [final] ).

cnf(c_0_1198,plain,
    ( c_Natural_Oevaln(X2,X4,X5,X6)
    | c_Natural_Oevaln(X3,X4,X5,X6)
    | ~ c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X2,X3),X4,X5,X6) ),
    c_0_914,
    [final] ).

cnf(c_0_1199,plain,
    ( c_Natural_Oevaln(c_Com_Ocom_OSemi(X1,X5),X2,X3,X6)
    | ~ c_Natural_Oevaln(X1,X2,X3,X4)
    | ~ c_Natural_Oevaln(X5,X4,X3,X6) ),
    c_0_915,
    [final] ).

cnf(c_0_1200,plain,
    ( hBOOL(hAPP(hAPP(X4,X5),X7))
    | ~ c_Hoare__Mirabelle_Otriple__valid(X1,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),X3),X4),t_a)
    | ~ hBOOL(hAPP(hAPP(X2,X5),X6))
    | ~ c_Natural_Oevaln(X3,X6,X1,X7) ),
    c_0_916,
    [final] ).

cnf(c_0_1201,plain,
    ( c_Set_Oinsert(hAPP(X4,X2),c_Set_Oimage(X4,X3,X1,X5),X5) = c_Set_Oimage(X4,X3,X1,X5)
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    c_0_917,
    [final] ).

cnf(c_0_1202,plain,
    ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OSemi(X1,X4)),X2),X5))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X4),X3),X5)) ),
    c_0_918,
    [final] ).

cnf(c_0_1203,plain,
    ( c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(X1,X3,X2,X4)) = X3
    | ~ c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X1),X2,X3,X4) ),
    c_0_919,
    [final] ).

cnf(c_0_1204,plain,
    ( c_Fun_Oinj__on(X1,X3,X4,X5)
    | ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5) ),
    c_0_920,
    [final] ).

cnf(c_0_1205,plain,
    ( c_Fun_Oinj__on(X1,X2,X4,X5)
    | ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5) ),
    c_0_921,
    [final] ).

cnf(c_0_1206,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X1,tc_bool)))) ),
    c_0_922,
    [final] ).

cnf(c_0_1207,plain,
    ( c_Natural_Oevaln(X2,X4,X5,X6)
    | ~ c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X2,X3),X4,X5,X6)
    | ~ hBOOL(hAPP(X1,X4)) ),
    c_0_923,
    [final] ).

cnf(c_0_1208,plain,
    ( X1 = X2
    | X1 = X3
    | c_Set_Oinsert(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) ),
    c_0_924,
    [final] ).

cnf(c_0_1209,plain,
    ( X1 = X2
    | X3 = X2
    | c_Set_Oinsert(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X2,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) ),
    c_0_925,
    [final] ).

cnf(c_0_1210,plain,
    ( X1 = X2
    | X3 = X2
    | c_Set_Oinsert(X3,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X5,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) ),
    c_0_926,
    [final] ).

cnf(c_0_1211,plain,
    ( X1 = X2
    | X1 = X3
    | c_Set_Oinsert(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) ),
    c_0_927,
    [final] ).

cnf(c_0_1212,plain,
    ( hBOOL(hAPP(X1,X4))
    | c_Natural_Oevaln(X3,X4,X5,X6)
    | ~ c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X2,X3),X4,X5,X6) ),
    c_0_928,
    [final] ).

cnf(c_0_1213,plain,
    ( X2 = X3
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1))) ),
    c_0_929,
    [final] ).

cnf(c_0_1214,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4)) ),
    c_0_930,
    [final] ).

cnf(c_0_1215,plain,
    ( c_Fun_Oinj__on(X1,X3,X4,X5)
    | ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) ),
    c_0_931,
    [final] ).

cnf(c_0_1216,plain,
    ( c_Set_Oinsert(X2,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),tc_fun(X1,tc_bool)),X1) = X3
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    c_0_932,
    [final] ).

cnf(c_0_1217,plain,
    ( c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X3,X6),X2,X4,X5)
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_Natural_Oevaln(X3,X2,X4,X5) ),
    c_0_933,
    [final] ).

cnf(c_0_1218,plain,
    ( c_Fun_Oinj__on(X1,c_HOL_Ominus__class_Ominus(X2,X5,tc_fun(X3,tc_bool)),X3,X4)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
    c_0_934,
    [final] ).

cnf(c_0_1219,plain,
    ( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X1),X2,c_Suc(X3),X4)
    | ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1)),X2,X3,X4) ),
    c_0_935,
    [final] ).

cnf(c_0_1220,plain,
    ( hBOOL(hAPP(X1,X2))
    | c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X6,X3),X2,X4,X5)
    | ~ c_Natural_Oevaln(X3,X2,X4,X5) ),
    c_0_936,
    [final] ).

cnf(c_0_1221,plain,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X2,X4,tc_Hoare__Mirabelle_Otriple(X3)),X3)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)),tc_Hoare__Mirabelle_Otriple(X3)),X3)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3) ),
    c_0_937,
    [final] ).

cnf(c_0_1222,plain,
    ( X5 = X6
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X5),X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X2))
    | hAPP(X1,X5) != hAPP(X1,X6) ),
    c_0_938,
    [final] ).

cnf(c_0_1223,plain,
    ( X1 = X2
    | ~ c_Fun_Oinj__on(X3,X4,X5,X6)
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X1),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X2),X4))
    | hAPP(X3,X1) != hAPP(X3,X2) ),
    c_0_939,
    [final] ).

cnf(c_0_1224,plain,
    ( X1 = X2
    | ~ c_Fun_Oinj__on(X3,X4,X5,X6)
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X1),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X2),X4))
    | hAPP(X3,X1) != hAPP(X3,X2) ),
    c_0_940,
    [final] ).

cnf(c_0_1225,plain,
    ( X2 = X4
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X4),X3))
    | ~ c_Fun_Oinj__on(X5,X3,X1,X6)
    | hAPP(X5,X2) != hAPP(X5,X4) ),
    c_0_941,
    [final] ).

cnf(c_0_1226,plain,
    ( c_Fun_Oinj__on(X1,X5,X3,X4)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool)) ),
    c_0_942,
    [final] ).

cnf(c_0_1227,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool)))) ),
    c_0_943,
    [final] ).

cnf(c_0_1228,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    c_0_944,
    [final] ).

cnf(c_0_1229,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    c_0_945,
    [final] ).

cnf(c_0_1230,plain,
    ( c_Natural_Oevaln(X1,X2,c_Suc(X3),X4)
    | ~ c_Natural_Oevaln(X1,X2,X3,X4) ),
    c_0_946,
    [final] ).

cnf(c_0_1231,plain,
    ( X4 = X3
    | hBOOL(hAPP(X1,X3))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OWhile(X1,X2)),X3),X4)) ),
    c_0_947,
    [final] ).

cnf(c_0_1232,plain,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X5,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool)) ),
    c_0_948,
    [final] ).

cnf(c_0_1233,plain,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool)) ),
    c_0_949,
    [final] ).

cnf(c_0_1234,plain,
    ( X2 = X3
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X3,X4,X1))) ),
    c_0_950,
    [final] ).

cnf(c_0_1235,plain,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X4),tc_bool)),tc_Hoare__Mirabelle_Otriple(X4)),X4)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X2,X3,tc_Hoare__Mirabelle_Otriple(X4)),X4) ),
    c_0_951,
    [final] ).

cnf(c_0_1236,plain,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))
    | ~ c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) ),
    c_0_952,
    [final] ).

cnf(c_0_1237,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) ),
    c_0_953,
    [final] ).

cnf(c_0_1238,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | X1 = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
    | ~ c_lessequals(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) ),
    c_0_954,
    [final] ).

cnf(c_0_1239,plain,
    ( hBOOL(hAPP(X1,X4))
    | hBOOL(hAPP(X2,X4))
    | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4)) ),
    c_0_955,
    [final] ).

cnf(c_0_1240,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X1,tc_bool))))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    c_0_956,
    [final] ).

cnf(c_0_1241,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(X4,X3,tc_fun(X1,tc_bool))))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    c_0_957,
    [final] ).

cnf(c_0_1242,plain,
    ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X1),X2),X4))
    | ~ c_Natural_Oevaln(X1,X2,X3,X4) ),
    c_0_958,
    [final] ).

cnf(c_0_1243,plain,
    ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X1),X2),X4))
    | ~ c_Natural_Oevaln(X1,X2,X3,X4) ),
    c_0_959,
    [final] ).

cnf(c_0_1244,plain,
    ( X4 = X3
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X1),X2),X4)) ),
    c_0_960,
    [final] ).

cnf(c_0_1245,plain,
    ( X1 = X2
    | ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5)
    | hAPP(X3,X1) != hAPP(X3,X2) ),
    c_0_961,
    [final] ).

cnf(c_0_1246,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X2,X3,X1),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),tc_fun(X1,tc_bool)) = X3 ),
    c_0_962,
    [final] ).

cnf(c_0_1247,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X2,X4,X1),X3,tc_fun(X1,tc_bool)) = c_Set_Oinsert(X2,c_HOL_Ominus__class_Ominus(X4,X3,tc_fun(X1,tc_bool)),X1) ),
    c_0_963,
    [final] ).

cnf(c_0_1248,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X4,X3,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    c_0_964,
    [final] ).

cnf(c_0_1249,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X4,X3,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    c_0_965,
    [final] ).

cnf(c_0_1250,plain,
    ( c_HOL_Ominus__class_Ominus(X2,c_HOL_Ominus__class_Ominus(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    c_0_966,
    [final] ).

cnf(c_0_1251,plain,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
    c_0_967,
    [final] ).

cnf(c_0_1252,plain,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
    c_0_968,
    [final] ).

cnf(c_0_1253,plain,
    ( hBOOL(hAPP(hAPP(c_in(X4),X2),X1))
    | c_lessequals(X1,X3,tc_fun(X4,tc_bool))
    | ~ c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) ),
    c_0_969,
    [final] ).

cnf(c_0_1254,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_lessequals(X3,X4,tc_fun(X1,tc_bool))
    | ~ c_lessequals(X3,c_Set_Oinsert(X2,X4,X1),tc_fun(X1,tc_bool)) ),
    c_0_970,
    [final] ).

cnf(c_0_1255,plain,
    ( c_lessequals(c_Set_Oinsert(X2,X4,X1),X3,tc_fun(X1,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ c_lessequals(X4,X3,tc_fun(X1,tc_bool)) ),
    c_0_971,
    [final] ).

cnf(c_0_1256,plain,
    ( X5 = X3
    | hBOOL(hAPP(X1,X3))
    | ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X2),X3,X4,X5) ),
    c_0_972,
    [final] ).

cnf(c_0_1257,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Set_Oimage(X3,X1,X2,X4) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)) ),
    c_0_973,
    [final] ).

cnf(c_0_1258,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Set_Oimage(X4,X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    c_0_974,
    [final] ).

cnf(c_0_1259,plain,
    ( c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) ),
    c_0_975,
    [final] ).

cnf(c_0_1260,plain,
    ( c_lessequals(X1,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) ),
    c_0_976,
    [final] ).

cnf(c_0_1261,plain,
    ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X2,X4,X1),X3,tc_fun(X1,tc_bool)) = c_HOL_Ominus__class_Ominus(X4,X3,tc_fun(X1,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    c_0_977,
    [final] ).

cnf(c_0_1262,plain,
    ( X1 = X4
    | hBOOL(hAPP(X2,X4))
    | ~ hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4)) ),
    c_0_978,
    [final] ).

cnf(c_0_1263,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_lessequals(X3,c_Set_Oinsert(X2,X4,X1),tc_fun(X1,tc_bool))
    | ~ c_lessequals(X3,X4,tc_fun(X1,tc_bool)) ),
    c_0_979,
    [final] ).

cnf(c_0_1264,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_lessequals(X3,c_Set_Oinsert(X2,X4,X1),tc_fun(X1,tc_bool))
    | ~ c_lessequals(X3,X4,tc_fun(X1,tc_bool)) ),
    c_0_980,
    [final] ).

cnf(c_0_1265,plain,
    ( c_lessequals(c_Set_Oinsert(X4,X1,X3),c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    c_0_981,
    [final] ).

cnf(c_0_1266,plain,
    ( hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OWhile(X1,X3)),X2),X2)) ),
    c_0_982,
    [final] ).

cnf(c_0_1267,plain,
    ( hBOOL(hAPP(hAPP(c_in(X3),X1),X4))
    | ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) ),
    c_0_983,
    [final] ).

cnf(c_0_1268,plain,
    ( hBOOL(hAPP(hAPP(c_in(X3),X4),X2))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X1)) ),
    c_0_984,
    [final] ).

cnf(c_0_1269,plain,
    ( hBOOL(hAPP(hAPP(c_in(X3),X4),X2))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X1)) ),
    c_0_985,
    [final] ).

cnf(c_0_1270,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ c_lessequals(X3,X4,tc_fun(X1,tc_bool)) ),
    c_0_986,
    [final] ).

cnf(c_0_1271,plain,
    ( hBOOL(hAPP(hAPP(c_in(X3),X4),X2))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X1)) ),
    c_0_987,
    [final] ).

cnf(c_0_1272,plain,
    ( X3 = X1
    | ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,X1,X2,X3) ),
    c_0_988,
    [final] ).

cnf(c_0_1273,plain,
    ( X1 = X2
    | hBOOL(hAPP(hAPP(c_in(X3),X4),X1))
    | hBOOL(hAPP(hAPP(c_in(X3),X4),X2))
    | c_Set_Oinsert(X4,X1,X3) != c_Set_Oinsert(X4,X2,X3) ),
    c_0_989,
    [final] ).

cnf(c_0_1274,plain,
    ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),X2))
    | ~ hBOOL(hAPP(X1,X2)) ),
    c_0_990,
    [final] ).

cnf(c_0_1275,plain,
    ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X4,tc_bool)),X2))
    | ~ hBOOL(hAPP(X1,X2)) ),
    c_0_991,
    [final] ).

cnf(c_0_1276,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))))
    | ~ hBOOL(hAPP(X3,X2)) ),
    c_0_992,
    [final] ).

cnf(c_0_1277,plain,
    ( c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) ),
    c_0_993,
    [final] ).

cnf(c_0_1278,plain,
    ( X1 = X2
    | hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X4),X5),X1) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X6),X7),X2) ),
    c_0_994,
    [final] ).

cnf(c_0_1279,plain,
    ( X1 = X2
    | hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X4),X1),X5) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X6),X2),X7) ),
    c_0_995,
    [final] ).

cnf(c_0_1280,plain,
    ( X1 = X2
    | hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X1),X4),X5) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X2),X6),X7) ),
    c_0_996,
    [final] ).

cnf(c_0_1281,plain,
    ( hBOOL(hAPP(X3,X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))) ),
    c_0_997,
    [final] ).

cnf(c_0_1282,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    c_0_998,
    [final] ).

cnf(c_0_1283,plain,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_999,
    [final] ).

cnf(c_0_1284,plain,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_1000,
    [final] ).

cnf(c_0_1285,plain,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_1001,
    [final] ).

cnf(c_0_1286,plain,
    ( X1 = X2
    | c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) != c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) ),
    c_0_1002,
    [final] ).

cnf(c_0_1287,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_1003,
    [final] ).

cnf(c_0_1288,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)
    | ~ class_Lattices_Oupper__semilattice(X4) ),
    c_0_1004,
    [final] ).

cnf(c_0_1289,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)
    | ~ class_Lattices_Olattice(X4) ),
    c_0_1005,
    [final] ).

cnf(c_0_1290,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
    | ~ class_Lattices_Olattice(X3) ),
    c_0_1006,
    [final] ).

cnf(c_0_1291,plain,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,X3,X4)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X2,X3,tc_Hoare__Mirabelle_Otriple(X4)),X4) ),
    c_0_1007,
    [final] ).

cnf(c_0_1292,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_1008,
    [final] ).

cnf(c_0_1293,plain,
    ( c_lessequals(X1,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    c_0_1009,
    [final] ).

cnf(c_0_1294,plain,
    ( c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_1010,
    [final] ).

cnf(c_0_1295,plain,
    ( c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_1011,
    [final] ).

cnf(c_0_1296,plain,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_1012,
    [final] ).

cnf(c_0_1297,plain,
    ( c_lessequals(X2,X4,X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_1013,
    [final] ).

cnf(c_0_1298,plain,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_1014,
    [final] ).

cnf(c_0_1299,plain,
    ( c_lessequals(X2,X4,X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_1015,
    [final] ).

cnf(c_0_1300,plain,
    ( c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    c_0_1016,
    [final] ).

cnf(c_0_1301,plain,
    ( hBOOL(hAPP(X1,X2))
    | c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X3),X2,X4,X2) ),
    c_0_1017,
    [final] ).

cnf(c_0_1302,plain,
    ( hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2))
    | ~ hBOOL(hAPP(X1,X2)) ),
    c_0_1018,
    [final] ).

cnf(c_0_1303,plain,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
    | ~ c_lessequals(X4,X2,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)) ),
    c_0_1019,
    [final] ).

cnf(c_0_1304,plain,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X4,X2,X3)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
    | ~ c_lessequals(X1,X4,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)) ),
    c_0_1020,
    [final] ).

cnf(c_0_1305,plain,
    ( c_HOL_Ominus__class_Ominus(hAPP(X1,v_x),hAPP(X2,v_x),X3) = hAPP(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(t_a,X3)),v_x)
    | ~ class_HOL_Ominus(X3) ),
    c_0_1021,
    [final] ).

cnf(c_0_1306,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(hAPP(X1,v_x),hAPP(X2,v_x),X3) = hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(t_a,X3)),v_x)
    | ~ class_Lattices_Olattice(X3) ),
    c_0_1022,
    [final] ).

cnf(c_0_1307,plain,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_1023,
    [final] ).

cnf(c_0_1308,plain,
    ( X2 = X1
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OSKIP),X1),X2)) ),
    c_0_1024,
    [final] ).

cnf(c_0_1309,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_1025,
    [final] ).

cnf(c_0_1310,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_1026,
    [final] ).

cnf(c_0_1311,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(hAPP(v_f,v_x),hAPP(v_g,v_x),t_b) = hAPP(c_Lattices_Oupper__semilattice__class_Osup(v_f,v_g,tc_fun(t_a,t_b)),v_x)
    | ~ class_Lattices_Olattice(t_b) ),
    c_0_1027,
    [final] ).

cnf(c_0_1312,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
    c_0_1028,
    [final] ).

cnf(c_0_1313,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
    c_0_1029,
    [final] ).

cnf(c_0_1314,plain,
    ( c_lessequals(hAPP(X1,X5),hAPP(X2,X5),X4)
    | ~ c_lessequals(X1,X2,tc_fun(X3,X4))
    | ~ class_HOL_Oord(X4) ),
    c_0_1030,
    [final] ).

cnf(c_0_1315,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_Set_Oinsert(X2,X3,X1) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
    c_0_1031,
    [final] ).

cnf(c_0_1316,plain,
    ( c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_1032,
    [final] ).

cnf(c_0_1317,plain,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    c_0_1033,
    [final] ).

cnf(c_0_1318,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
    c_0_1034,
    [final] ).

cnf(c_0_1319,plain,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X4,X2,X3)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X4,X1,X3) ),
    c_0_1035,
    [final] ).

cnf(c_0_1320,plain,
    ( c_Set_Oinsert(X2,X3,X1) = X3
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    c_0_1036,
    [final] ).

cnf(c_0_1321,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_1037,
    [final] ).

cnf(c_0_1322,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)
    | ~ class_Lattices_Olattice(X3) ),
    c_0_1038,
    [final] ).

cnf(c_0_1323,plain,
    ( c_Com_OWT(hAPP(c_Com_Ocom_OBODY,X2))
    | ~ c_Com_OWT(c_Com_Ocom_OCall(X1,X2,X3)) ),
    c_0_1039,
    [final] ).

cnf(c_0_1324,plain,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != X2 ),
    c_0_1040,
    [final] ).

cnf(c_0_1325,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)) = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    c_0_1041,
    [final] ).

cnf(c_0_1326,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    c_0_1042,
    [final] ).

cnf(c_0_1327,plain,
    ( hBOOL(hAPP(X2,X4))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(X1,X4)) ),
    c_0_1043,
    [final] ).

cnf(c_0_1328,plain,
    ( hBOOL(hAPP(X3,X2))
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
    c_0_1044,
    [final] ).

cnf(c_0_1329,plain,
    ( hBOOL(hAPP(X3,X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    c_0_1045,
    [final] ).

cnf(c_0_1330,plain,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X2,X1,X3)
    | ~ c_lessequals(X1,X2,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)) ),
    c_0_1046,
    [final] ).

cnf(c_0_1331,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X2,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    c_0_1047,
    [final] ).

cnf(c_0_1332,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    c_0_1048,
    [final] ).

cnf(c_0_1333,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_1049,
    [final] ).

cnf(c_0_1334,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_1050,
    [final] ).

cnf(c_0_1335,plain,
    ( X2 = X1
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_1051,
    [final] ).

cnf(c_0_1336,plain,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X4,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    c_0_1052,
    [final] ).

cnf(c_0_1337,plain,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X3,X3,X4) != c_HOL_Ominus__class_Ominus(X1,X2,X4)
    | ~ class_OrderedGroup_Oab__group__add(X4) ),
    c_0_1053,
    [final] ).

cnf(c_0_1338,plain,
    ( c_Com_OWT(X3)
    | ~ c_Com_OWT(c_Com_Ocom_OLocal(X1,X2,X3)) ),
    c_0_1054,
    [final] ).

cnf(c_0_1339,plain,
    ( c_Com_OWT(X3)
    | ~ c_Com_OWT(c_Com_Ocom_OCond(X1,X2,X3)) ),
    c_0_1055,
    [final] ).

cnf(c_0_1340,plain,
    ( c_Com_OWT(X2)
    | ~ c_Com_OWT(c_Com_Ocom_OCond(X1,X2,X3)) ),
    c_0_1056,
    [final] ).

cnf(c_0_1341,plain,
    ( X1 = X2
    | c_Com_Ocom_OCall(X3,X4,X1) != c_Com_Ocom_OCall(X5,X6,X2) ),
    c_0_1057,
    [final] ).

cnf(c_0_1342,plain,
    ( X1 = X2
    | c_Com_Ocom_OCall(X3,X1,X4) != c_Com_Ocom_OCall(X5,X2,X6) ),
    c_0_1058,
    [final] ).

cnf(c_0_1343,plain,
    ( X1 = X2
    | c_Com_Ocom_OCall(X1,X3,X4) != c_Com_Ocom_OCall(X2,X5,X6) ),
    c_0_1059,
    [final] ).

cnf(c_0_1344,plain,
    ( X1 = X2
    | c_Com_Ocom_OCond(X3,X4,X1) != c_Com_Ocom_OCond(X5,X6,X2) ),
    c_0_1060,
    [final] ).

cnf(c_0_1345,plain,
    ( X1 = X2
    | c_Com_Ocom_OCond(X3,X1,X4) != c_Com_Ocom_OCond(X5,X2,X6) ),
    c_0_1061,
    [final] ).

cnf(c_0_1346,plain,
    ( X1 = X2
    | c_Com_Ocom_OCond(X1,X3,X4) != c_Com_Ocom_OCond(X2,X5,X6) ),
    c_0_1062,
    [final] ).

cnf(c_0_1347,plain,
    ( X1 = X2
    | c_Com_Ocom_OLocal(X3,X4,X1) != c_Com_Ocom_OLocal(X5,X6,X2) ),
    c_0_1063,
    [final] ).

cnf(c_0_1348,plain,
    ( X1 = X2
    | c_Com_Ocom_OLocal(X3,X1,X4) != c_Com_Ocom_OLocal(X5,X2,X6) ),
    c_0_1064,
    [final] ).

cnf(c_0_1349,plain,
    ( X1 = X2
    | c_Com_Ocom_OLocal(X1,X3,X4) != c_Com_Ocom_OLocal(X2,X5,X6) ),
    c_0_1065,
    [final] ).

cnf(c_0_1350,plain,
    ( X2 = X3
    | ~ hBOOL(hAPP(hAPP(c_fequal(X1),X2),X3)) ),
    c_0_1066,
    [final] ).

cnf(c_0_1351,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_1067,
    [final] ).

cnf(c_0_1352,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_1068,
    [final] ).

cnf(c_0_1353,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)
    | ~ class_Lattices_Olattice(X3) ),
    c_0_1069,
    [final] ).

cnf(c_0_1354,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
    | ~ class_Lattices_Olattice(X3) ),
    c_0_1070,
    [final] ).

cnf(c_0_1355,plain,
    ( hBOOL(hAPP(hAPP(c_in(X3),X2),X1))
    | ~ hBOOL(hAPP(X1,X2)) ),
    c_0_1071,
    [final] ).

cnf(c_0_1356,plain,
    ( c_Com_OWT(c_Com_Ocom_OCall(X2,X1,X3))
    | ~ c_Com_OWT(hAPP(c_Com_Ocom_OBODY,X1)) ),
    c_0_1072,
    [final] ).

cnf(c_0_1357,plain,
    ( c_Hoare__Mirabelle_Otriple__valid(X1,X2,X3)
    | ~ c_Hoare__Mirabelle_Otriple__valid(c_Suc(X1),X2,X3) ),
    c_0_1073,
    [final] ).

cnf(c_0_1358,plain,
    ( c_lessequals(X1,X2,X3)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) != X2
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_1074,
    [final] ).

cnf(c_0_1359,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_1075,
    [final] ).

cnf(c_0_1360,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3) = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_1076,
    [final] ).

cnf(c_0_1361,plain,
    ( c_Hoare__Mirabelle_Ohoare__valids(X1,X2,X3)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3) ),
    c_0_1077,
    [final] ).

cnf(c_0_1362,plain,
    ( c_Com_OWT(c_Com_Ocom_OCond(X3,X1,X2))
    | ~ c_Com_OWT(X1)
    | ~ c_Com_OWT(X2) ),
    c_0_1078,
    [final] ).

cnf(c_0_1363,plain,
    ( c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    c_0_1079,
    [final] ).

cnf(c_0_1364,plain,
    ( c_Com_OWT(c_Com_Ocom_OLocal(X2,X3,X1))
    | ~ c_Com_OWT(X1) ),
    c_0_1080,
    [final] ).

cnf(c_0_1365,plain,
    ( c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X1) = X2
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    c_0_1081,
    [final] ).

cnf(c_0_1366,plain,
    ( c_lessequals(X1,X2,X3)
    | c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1082,
    [final] ).

cnf(c_0_1367,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_1083,
    [final] ).

cnf(c_0_1368,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)
    | ~ class_Lattices_Olattice(X3) ),
    c_0_1084,
    [final] ).

cnf(c_0_1369,plain,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_Int_Onumber__ring(X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    c_0_1085,
    [final] ).

cnf(c_0_1370,plain,
    ( X1 = c_Orderings_Obot__class_Obot(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2) != c_Orderings_Obot__class_Obot(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    c_0_1086,
    [final] ).

cnf(c_0_1371,plain,
    ( X1 = c_Orderings_Obot__class_Obot(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X3,X1,X2) != c_Orderings_Obot__class_Obot(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    c_0_1087,
    [final] ).

cnf(c_0_1372,plain,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    c_0_1088,
    [final] ).

cnf(c_0_1373,plain,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    c_0_1089,
    [final] ).

cnf(c_0_1374,plain,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    c_0_1090,
    [final] ).

cnf(c_0_1375,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    c_0_1091,
    [final] ).

cnf(c_0_1376,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X1) != X2
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    c_0_1092,
    [final] ).

cnf(c_0_1377,plain,
    ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X1)),v_x) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Orderings_Obot(X1) ),
    c_0_1093,
    [final] ).

cnf(c_0_1378,plain,
    ( hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,X1)),v_x) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Orderings_Otop(X1) ),
    c_0_1094,
    [final] ).

cnf(c_0_1379,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    c_0_1095,
    [final] ).

cnf(c_0_1380,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(X1),X2,X1) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Lattices_Obounded__lattice(X1) ),
    c_0_1096,
    [final] ).

cnf(c_0_1381,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Otop__class_Otop(X2),X2) = c_Orderings_Otop__class_Otop(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    c_0_1097,
    [final] ).

cnf(c_0_1382,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(v_x,c_HOL_Ozero__class_Ozero(t_a),t_a) = c_OrderedGroup_Olordered__ab__group__add__class_Opprt(v_x,t_a)
    | ~ class_OrderedGroup_Olordered__ab__group__add(t_a) ),
    c_0_1098,
    [final] ).

cnf(c_0_1383,plain,
    ( c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_1099,
    [final] ).

cnf(c_0_1384,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X1),X2,X1) = X2
    | ~ class_Lattices_Obounded__lattice(X1) ),
    c_0_1100,
    [final] ).

cnf(c_0_1385,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(X2),X2) = X1
    | ~ class_Lattices_Obounded__lattice(X2) ),
    c_0_1101,
    [final] ).

cnf(c_0_1386,plain,
    ( c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)
    | ~ class_Orderings_Obot(X1) ),
    c_0_1102,
    [final] ).

cnf(c_0_1387,plain,
    ( c_lessequals(X1,c_Orderings_Otop__class_Otop(X2),X2)
    | ~ class_Orderings_Otop(X2) ),
    c_0_1103,
    [final] ).

cnf(c_0_1388,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    c_0_1104,
    [final] ).

cnf(c_0_1389,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_1105,
    [final] ).

cnf(c_0_1390,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_1106,
    [final] ).

cnf(c_0_1391,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X1,X2) = X1
    | ~ class_Lattices_Oupper__semilattice(X2) ),
    c_0_1107,
    [final] ).

cnf(c_0_1392,plain,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    c_0_1108,
    [final] ).

cnf(c_0_1393,plain,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Opreorder(X2) ),
    c_0_1109,
    [final] ).

cnf(c_0_1394,plain,
    ( c_Com_OWT(X2)
    | ~ c_Com_OWT(c_Com_Ocom_OWhile(X1,X2)) ),
    c_0_1110,
    [final] ).

cnf(c_0_1395,plain,
    ( c_Com_OWT(X2)
    | ~ c_Com_OWT(c_Com_Ocom_OSemi(X1,X2)) ),
    c_0_1111,
    [final] ).

cnf(c_0_1396,plain,
    ( c_Com_OWT(X1)
    | ~ c_Com_OWT(c_Com_Ocom_OSemi(X1,X2)) ),
    c_0_1112,
    [final] ).

cnf(c_0_1397,plain,
    ( X1 = X2
    | c_Com_Ocom_OSemi(X3,X1) != c_Com_Ocom_OSemi(X4,X2) ),
    c_0_1113,
    [final] ).

cnf(c_0_1398,plain,
    ( X1 = X2
    | c_Com_Ocom_OSemi(X1,X3) != c_Com_Ocom_OSemi(X2,X4) ),
    c_0_1114,
    [final] ).

cnf(c_0_1399,plain,
    ( X1 = X2
    | c_Option_Ooption_OSome(X1,X3) != c_Option_Ooption_OSome(X2,X3) ),
    c_0_1115,
    [final] ).

cnf(c_0_1400,plain,
    ( X1 = X2
    | c_Com_Ocom_OWhile(X1,X3) != c_Com_Ocom_OWhile(X2,X4) ),
    c_0_1116,
    [final] ).

cnf(c_0_1401,plain,
    ( X1 = X2
    | c_Com_Ocom_OWhile(X3,X1) != c_Com_Ocom_OWhile(X4,X2) ),
    c_0_1117,
    [final] ).

cnf(c_0_1402,plain,
    ( X1 = X2
    | c_Com_Ocom_OAss(X3,X1) != c_Com_Ocom_OAss(X4,X2) ),
    c_0_1118,
    [final] ).

cnf(c_0_1403,plain,
    ( X1 = X2
    | c_Com_Ocom_OAss(X1,X3) != c_Com_Ocom_OAss(X2,X4) ),
    c_0_1119,
    [final] ).

cnf(c_0_1404,plain,
    ( c_Com_OWT(c_Com_Ocom_OSemi(X1,X2))
    | ~ c_Com_OWT(X1)
    | ~ c_Com_OWT(X2) ),
    c_0_1120,
    [final] ).

cnf(c_0_1405,plain,
    ( hAPP(c_Com_Obody,X1) = c_Option_Ooption_ONone(tc_Com_Ocom)
    | c_Com_OWT(hAPP(c_Com_Ocom_OBODY,X1)) ),
    c_0_1121,
    [final] ).

cnf(c_0_1406,plain,
    ( X1 = X2
    | hAPP(c_Com_Ocom_OBODY,X1) != hAPP(c_Com_Ocom_OBODY,X2) ),
    c_0_1122,
    [final] ).

cnf(c_0_1407,plain,
    ( c_Com_OWT(c_Com_Ocom_OWhile(X2,X1))
    | ~ c_Com_OWT(X1) ),
    c_0_1123,
    [final] ).

cnf(c_0_1408,plain,
    ( class_Lattices_Oupper__semilattice(tc_fun(X2,X1))
    | ~ class_Lattices_Olattice(X1) ),
    c_0_1124,
    [final] ).

cnf(c_0_1409,plain,
    ( class_Lattices_Obounded__lattice(tc_fun(X2,X1))
    | ~ class_Lattices_Obounded__lattice(X1) ),
    c_0_1125,
    [final] ).

cnf(c_0_1410,plain,
    ( class_Orderings_Opreorder(tc_fun(X2,X1))
    | ~ class_Orderings_Opreorder(X1) ),
    c_0_1126,
    [final] ).

cnf(c_0_1411,plain,
    ( class_Lattices_Olattice(tc_fun(X2,X1))
    | ~ class_Lattices_Olattice(X1) ),
    c_0_1127,
    [final] ).

cnf(c_0_1412,plain,
    ( class_Orderings_Oorder(tc_fun(X2,X1))
    | ~ class_Orderings_Oorder(X1) ),
    c_0_1128,
    [final] ).

cnf(c_0_1413,plain,
    ( class_Orderings_Otop(tc_fun(X2,X1))
    | ~ class_Orderings_Otop(X1) ),
    c_0_1129,
    [final] ).

cnf(c_0_1414,plain,
    ( class_Orderings_Obot(tc_fun(X2,X1))
    | ~ class_Orderings_Obot(X1) ),
    c_0_1130,
    [final] ).

cnf(c_0_1415,plain,
    ( class_HOL_Ominus(tc_fun(X2,X1))
    | ~ class_HOL_Ominus(X1) ),
    c_0_1131,
    [final] ).

cnf(c_0_1416,plain,
    ( class_HOL_Oord(tc_fun(X2,X1))
    | ~ class_HOL_Oord(X1) ),
    c_0_1132,
    [final] ).

cnf(c_0_1417,plain,
    ( c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    c_0_1133,
    [final] ).

cnf(c_0_1418,plain,
    ( X1 = X2
    | c_Suc(X1) != c_Suc(X2) ),
    c_0_1134,
    [final] ).

cnf(c_0_1419,plain,
    ( X1 = X2
    | c_Suc(X1) != c_Suc(X2) ),
    c_0_1135,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_1136_0,axiom,
    ( c_Hoare__Mirabelle_Ohoare__valids(X1,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),X4,tc_Com_Opname,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X5,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X2)),X2)
    | ~ c_Hoare__Mirabelle_Ohoare__valids(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),X4,tc_Com_Opname,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X5,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X2)),tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),tc_Com_Opname),c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),X4,tc_Com_Opname,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X5,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X2)),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1136]) ).

cnf(c_0_1136_1,axiom,
    ( ~ c_Hoare__Mirabelle_Ohoare__valids(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),X4,tc_Com_Opname,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X5,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X2)),tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),tc_Com_Opname),c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),X4,tc_Com_Opname,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X5,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X2)),X2)
    | c_Hoare__Mirabelle_Ohoare__valids(X1,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),X4,tc_Com_Opname,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X5,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X2)),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1136]) ).

cnf(c_0_1137_0,axiom,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),X4,tc_Com_Opname,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X5,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X2)),X2)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),X4,tc_Com_Opname,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X5,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X2)),tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),tc_Com_Opname),c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),X4,tc_Com_Opname,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X5,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X2)),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1137]) ).

cnf(c_0_1137_1,axiom,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),X4,tc_Com_Opname,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X5,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X2)),tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),tc_Com_Opname),c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),X4,tc_Com_Opname,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X5,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X2)),X2)
    | c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),X4,tc_Com_Opname,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X5,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X2)),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1137]) ).

cnf(c_0_1138_0,axiom,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),hAPP(X3,X6)),hAPP(c_Com_Ocom_OBODY,X6)),hAPP(X4,X6)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X2)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),X4,tc_Com_Opname,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X5,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X2)),tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),tc_Com_Opname),c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),X4,tc_Com_Opname,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X5,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X2)),X2)
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Com_Opname),X6),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1138]) ).

cnf(c_0_1138_1,axiom,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),X4,tc_Com_Opname,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X5,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X2)),tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),tc_Com_Opname),c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),X4,tc_Com_Opname,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X5,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X2)),X2)
    | c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),hAPP(X3,X6)),hAPP(c_Com_Ocom_OBODY,X6)),hAPP(X4,X6)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X2)
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Com_Opname),X6),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1138]) ).

cnf(c_0_1138_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Com_Opname),X6),X5))
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),X4,tc_Com_Opname,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X5,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X2)),tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),tc_Com_Opname),c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),X4,tc_Com_Opname,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X5,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X2)),X2)
    | c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),hAPP(X3,X6)),hAPP(c_Com_Ocom_OBODY,X6)),hAPP(X4,X6)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1138]) ).

cnf(c_0_1139_0,axiom,
    ( c_lessequals(X2,X3,tc_fun(X1,tc_bool))
    | ~ c_lessequals(c_COMBC(c_in(X1),X2,X1,tc_fun(X1,tc_bool),tc_bool),c_COMBC(c_in(X1),X3,X1,tc_fun(X1,tc_bool),tc_bool),tc_fun(X1,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1139]) ).

cnf(c_0_1139_1,axiom,
    ( ~ c_lessequals(c_COMBC(c_in(X1),X2,X1,tc_fun(X1,tc_bool),tc_bool),c_COMBC(c_in(X1),X3,X1,tc_fun(X1,tc_bool),tc_bool),tc_fun(X1,tc_bool))
    | c_lessequals(X2,X3,tc_fun(X1,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1139]) ).

cnf(c_0_1140_0,axiom,
    ( ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5)
    | ~ hBOOL(hAPP(hAPP(c_in(X5),hAPP(X1,X2)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_1140]) ).

cnf(c_0_1140_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X5),hAPP(X1,X2)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5)))
    | ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1140]) ).

cnf(c_0_1141_0,axiom,
    ( c_lessequals(c_COMBC(c_in(X3),X1,X3,tc_fun(X3,tc_bool),tc_bool),c_COMBC(c_in(X3),X2,X3,tc_fun(X3,tc_bool),tc_bool),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1141]) ).

cnf(c_0_1141_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(c_COMBC(c_in(X3),X1,X3,tc_fun(X3,tc_bool),tc_bool),c_COMBC(c_in(X3),X2,X3,tc_fun(X3,tc_bool),tc_bool),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1141]) ).

cnf(c_0_1142_0,axiom,
    ( hAPP(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6) = hAPP(c_Fun_Ocomp(X7,X8,X9,X4,X10),X11)
    | hAPP(X1,hAPP(X2,X6)) != hAPP(X7,hAPP(X8,X11)) ),
    inference(literals_permutation,[status(thm)],[c_0_1142]) ).

cnf(c_0_1142_1,axiom,
    ( hAPP(X1,hAPP(X2,X6)) != hAPP(X7,hAPP(X8,X11))
    | hAPP(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6) = hAPP(c_Fun_Ocomp(X7,X8,X9,X4,X10),X11) ),
    inference(literals_permutation,[status(thm)],[c_0_1142]) ).

cnf(c_0_1143_0,axiom,
    ( c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X6,X5,X3),X3,X4)
    | ~ c_Fun_Oinj__on(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6,X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1143]) ).

cnf(c_0_1143_1,axiom,
    ( ~ c_Fun_Oinj__on(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6,X5,X4)
    | c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X6,X5,X3),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1143]) ).

cnf(c_0_1144_0,axiom,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X5,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X2),hAPP(c_Com_Ocom_OBODY,X3)),X4),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_bool)),tc_Hoare__Mirabelle_Otriple(X1)),X1)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X2),hAPP(c_Com_Ocom_OBODY,X3)),X4),X5,tc_Hoare__Mirabelle_Otriple(X1)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X2),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X3))),X4),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_bool)),tc_Hoare__Mirabelle_Otriple(X1)),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1144]) ).

cnf(c_0_1144_1,axiom,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X2),hAPP(c_Com_Ocom_OBODY,X3)),X4),X5,tc_Hoare__Mirabelle_Otriple(X1)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X2),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X3))),X4),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_bool)),tc_Hoare__Mirabelle_Otriple(X1)),X1)
    | c_Hoare__Mirabelle_Ohoare__derivs(X5,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X2),hAPP(c_Com_Ocom_OBODY,X3)),X4),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_bool)),tc_Hoare__Mirabelle_Otriple(X1)),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1144]) ).

cnf(c_0_1145_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X4),hAPP(X1,X5)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3,X4)))
    | c_Fun_Oinj__on(X1,c_Set_Oinsert(X5,X2,X3),X3,X4)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1145]) ).

cnf(c_0_1145_1,axiom,
    ( c_Fun_Oinj__on(X1,c_Set_Oinsert(X5,X2,X3),X3,X4)
    | hBOOL(hAPP(hAPP(c_in(X4),hAPP(X1,X5)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3,X4)))
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1145]) ).

cnf(c_0_1145_2,axiom,
    ( ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | c_Fun_Oinj__on(X1,c_Set_Oinsert(X5,X2,X3),X3,X4)
    | hBOOL(hAPP(hAPP(c_in(X4),hAPP(X1,X5)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_1145]) ).

cnf(c_0_1146_0,axiom,
    ( c_Fun_Oinj__on(c_Fun_Ocomp(X5,X1,X4,X6,X3),X2,X3,X6)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_Fun_Oinj__on(X5,c_Set_Oimage(X1,X2,X3,X4),X4,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1146]) ).

cnf(c_0_1146_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | c_Fun_Oinj__on(c_Fun_Ocomp(X5,X1,X4,X6,X3),X2,X3,X6)
    | ~ c_Fun_Oinj__on(X5,c_Set_Oimage(X1,X2,X3,X4),X4,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1146]) ).

cnf(c_0_1146_2,axiom,
    ( ~ c_Fun_Oinj__on(X5,c_Set_Oimage(X1,X2,X3,X4),X4,X6)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | c_Fun_Oinj__on(c_Fun_Ocomp(X5,X1,X4,X6,X3),X2,X3,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1146]) ).

cnf(c_0_1147_0,axiom,
    ( X1 = X2
    | c_COMBC(c_in(X3),X1,X3,tc_fun(X3,tc_bool),tc_bool) != c_COMBC(c_in(X3),X2,X3,tc_fun(X3,tc_bool),tc_bool) ),
    inference(literals_permutation,[status(thm)],[c_0_1147]) ).

cnf(c_0_1147_1,axiom,
    ( c_COMBC(c_in(X3),X1,X3,tc_fun(X3,tc_bool),tc_bool) != c_COMBC(c_in(X3),X2,X3,tc_fun(X3,tc_bool),tc_bool)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1147]) ).

cnf(c_0_1148_0,axiom,
    ( hAPP(X1,hAPP(X2,X3)) = hAPP(X4,hAPP(X5,X3))
    | c_Fun_Ocomp(X1,X2,X6,X7,X8) != c_Fun_Ocomp(X4,X5,X9,X7,X8) ),
    inference(literals_permutation,[status(thm)],[c_0_1148]) ).

cnf(c_0_1148_1,axiom,
    ( c_Fun_Ocomp(X1,X2,X6,X7,X8) != c_Fun_Ocomp(X4,X5,X9,X7,X8)
    | hAPP(X1,hAPP(X2,X3)) = hAPP(X4,hAPP(X5,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1148]) ).

cnf(c_0_1149_0,axiom,
    ( hAPP(X1,hAPP(X2,X3)) = hAPP(X4,X3)
    | c_Fun_Ocomp(X1,X2,X5,X6,X7) != c_Fun_Ocomp(c_Fun_Oid(X6),X4,X6,X6,X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1149]) ).

cnf(c_0_1149_1,axiom,
    ( c_Fun_Ocomp(X1,X2,X5,X6,X7) != c_Fun_Ocomp(c_Fun_Oid(X6),X4,X6,X6,X7)
    | hAPP(X1,hAPP(X2,X3)) = hAPP(X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1149]) ).

cnf(c_0_1150_0,axiom,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),c_Com_Ocom_OSemi(X4,X6)),X7),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X2)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),X4),X5),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X2)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X5),X6),X7),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1150]) ).

cnf(c_0_1150_1,axiom,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),X4),X5),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X2)
    | c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),c_Com_Ocom_OSemi(X4,X6)),X7),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X2)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X5),X6),X7),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1150]) ).

cnf(c_0_1150_2,axiom,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X5),X6),X7),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X2)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),X4),X5),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X2)
    | c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),c_Com_Ocom_OSemi(X4,X6)),X7),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1150]) ).

cnf(c_0_1151_0,axiom,
    ( hBOOL(hAPP(X1,hAPP(hAPP(hAPP(X2,X3),X4),X5)))
    | ~ hBOOL(hAPP(X1,c_Hoare__Mirabelle_Otriple_Otriple__case(X2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),X3),X4),X5),t_b,t_a))) ),
    inference(literals_permutation,[status(thm)],[c_0_1151]) ).

cnf(c_0_1151_1,axiom,
    ( ~ hBOOL(hAPP(X1,c_Hoare__Mirabelle_Otriple_Otriple__case(X2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),X3),X4),X5),t_b,t_a)))
    | hBOOL(hAPP(X1,hAPP(hAPP(hAPP(X2,X3),X4),X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_1151]) ).

cnf(c_0_1152_0,axiom,
    ( hBOOL(hAPP(X1,hAPP(hAPP(hAPP(X2,X3),X4),X5)))
    | ~ hBOOL(hAPP(X1,c_Hoare__Mirabelle_Otriple_Otriple__case(X2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),X3),X4),X5),t_b,t_a))) ),
    inference(literals_permutation,[status(thm)],[c_0_1152]) ).

cnf(c_0_1152_1,axiom,
    ( ~ hBOOL(hAPP(X1,c_Hoare__Mirabelle_Otriple_Otriple__case(X2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),X3),X4),X5),t_b,t_a)))
    | hBOOL(hAPP(X1,hAPP(hAPP(hAPP(X2,X3),X4),X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_1152]) ).

cnf(c_0_1153_0,axiom,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),hAPP(c_Com_Ocom_OBODY,X4)),X5),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X2)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X4))),X5),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1153]) ).

cnf(c_0_1153_1,axiom,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X4))),X5),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X2)
    | c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),hAPP(c_Com_Ocom_OBODY,X4)),X5),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1153]) ).

cnf(c_0_1154_0,axiom,
    ( hAPP(X3,X2) = X4
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X1,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_1154]) ).

cnf(c_0_1154_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X1,X5)))
    | hAPP(X3,X2) = X4 ),
    inference(literals_permutation,[status(thm)],[c_0_1154]) ).

cnf(c_0_1155_0,axiom,
    ( c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),X2),X1),X3),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
    | ~ c_Hoare__Mirabelle_Ohoare__valids(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),X2),X1),X3),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
    inference(literals_permutation,[status(thm)],[c_0_1155]) ).

cnf(c_0_1155_1,axiom,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
    | c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),X2),X1),X3),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
    | ~ c_Hoare__Mirabelle_Ohoare__valids(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),X2),X1),X3),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
    inference(literals_permutation,[status(thm)],[c_0_1155]) ).

cnf(c_0_1155_2,axiom,
    ( ~ c_Hoare__Mirabelle_Ohoare__valids(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),X2),X1),X3),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
    | c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),X2),X1),X3),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
    inference(literals_permutation,[status(thm)],[c_0_1155]) ).

cnf(c_0_1156_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X2),X4),X5))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ hBOOL(hAPP(hAPP(c_in(X3),hAPP(X1,X4)),c_Set_Oimage(X1,X5,X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1156]) ).

cnf(c_0_1156_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | hBOOL(hAPP(hAPP(c_in(X2),X4),X5))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),hAPP(X1,X4)),c_Set_Oimage(X1,X5,X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1156]) ).

cnf(c_0_1156_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X3),hAPP(X1,X4)),c_Set_Oimage(X1,X5,X2,X3)))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | hBOOL(hAPP(hAPP(c_in(X2),X4),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1156]) ).

cnf(c_0_1157_0,axiom,
    ( c_lessequals(X4,X5,tc_fun(X2,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ c_lessequals(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1157]) ).

cnf(c_0_1157_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | c_lessequals(X4,X5,tc_fun(X2,tc_bool))
    | ~ c_lessequals(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1157]) ).

cnf(c_0_1157_2,axiom,
    ( ~ c_lessequals(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | c_lessequals(X4,X5,tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1157]) ).

cnf(c_0_1158_0,axiom,
    ( c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X5,X3,X4),c_Set_Oimage(X1,X6,X3,X4),tc_fun(X4,tc_bool)) = c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X5,X6,tc_fun(X3,tc_bool)),X3,X4)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X6,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1158]) ).

cnf(c_0_1158_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X5,X3,X4),c_Set_Oimage(X1,X6,X3,X4),tc_fun(X4,tc_bool)) = c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X5,X6,tc_fun(X3,tc_bool)),X3,X4)
    | ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X6,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1158]) ).

cnf(c_0_1158_2,axiom,
    ( ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X5,X3,X4),c_Set_Oimage(X1,X6,X3,X4),tc_fun(X4,tc_bool)) = c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X5,X6,tc_fun(X3,tc_bool)),X3,X4)
    | ~ c_lessequals(X6,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1158]) ).

cnf(c_0_1158_3,axiom,
    ( ~ c_lessequals(X6,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X5,X3,X4),c_Set_Oimage(X1,X6,X3,X4),tc_fun(X4,tc_bool)) = c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X5,X6,tc_fun(X3,tc_bool)),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1158]) ).

cnf(c_0_1159_0,axiom,
    ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X2),X4),X5))
    | hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X3),X4),X5))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(X1,X2,X3)),X4),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1159]) ).

cnf(c_0_1159_1,axiom,
    ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X3),X4),X5))
    | hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X2),X4),X5))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(X1,X2,X3)),X4),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1159]) ).

cnf(c_0_1159_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(X1,X2,X3)),X4),X5))
    | hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X3),X4),X5))
    | hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X2),X4),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1159]) ).

cnf(c_0_1160_0,axiom,
    ( c_lessequals(c_Set_Ovimage(X1,X4,X2,X3),X5,tc_fun(X2,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ c_lessequals(X4,c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1160]) ).

cnf(c_0_1160_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | c_lessequals(c_Set_Ovimage(X1,X4,X2,X3),X5,tc_fun(X2,tc_bool))
    | ~ c_lessequals(X4,c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1160]) ).

cnf(c_0_1160_2,axiom,
    ( ~ c_lessequals(X4,c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | c_lessequals(c_Set_Ovimage(X1,X4,X2,X3),X5,tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1160]) ).

cnf(c_0_1161_0,axiom,
    ( c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) = c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X4,X5,tc_fun(X2,tc_bool)),X2,X3)
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1161]) ).

cnf(c_0_1161_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) = c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X4,X5,tc_fun(X2,tc_bool)),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1161]) ).

cnf(c_0_1162_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X5),hAPP(X3,X2)),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,X4,X1,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_1162]) ).

cnf(c_0_1162_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,X4,X1,X5)))
    | hBOOL(hAPP(hAPP(c_in(X5),hAPP(X3,X2)),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1162]) ).

cnf(c_0_1163_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X5),hAPP(X3,X2)),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,X4,X1,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_1163]) ).

cnf(c_0_1163_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,X4,X1,X5)))
    | hBOOL(hAPP(hAPP(c_in(X5),hAPP(X3,X2)),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1163]) ).

cnf(c_0_1164_0,axiom,
    ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X2),X4),X5))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(X1,X2,X3)),X4),X5))
    | ~ hBOOL(hAPP(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1164]) ).

cnf(c_0_1164_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(X1,X2,X3)),X4),X5))
    | hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X2),X4),X5))
    | ~ hBOOL(hAPP(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1164]) ).

cnf(c_0_1164_2,axiom,
    ( ~ hBOOL(hAPP(X1,X4))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(X1,X2,X3)),X4),X5))
    | hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X2),X4),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1164]) ).

cnf(c_0_1165_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X3),hAPP(X1,X4)),c_Set_Oimage(X1,X5,X2,X3)))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ hBOOL(hAPP(hAPP(c_in(X2),X4),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1165]) ).

cnf(c_0_1165_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | hBOOL(hAPP(hAPP(c_in(X3),hAPP(X1,X4)),c_Set_Oimage(X1,X5,X2,X3)))
    | ~ hBOOL(hAPP(hAPP(c_in(X2),X4),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1165]) ).

cnf(c_0_1165_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X2),X4),X5))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | hBOOL(hAPP(hAPP(c_in(X3),hAPP(X1,X4)),c_Set_Oimage(X1,X5,X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1165]) ).

cnf(c_0_1166_0,axiom,
    ( hBOOL(hAPP(X1,X4))
    | hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X3),X4),X5))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(X1,X2,X3)),X4),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1166]) ).

cnf(c_0_1166_1,axiom,
    ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X3),X4),X5))
    | hBOOL(hAPP(X1,X4))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(X1,X2,X3)),X4),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1166]) ).

cnf(c_0_1166_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(X1,X2,X3)),X4),X5))
    | hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X3),X4),X5))
    | hBOOL(hAPP(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1166]) ).

cnf(c_0_1167_0,axiom,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X2,c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(hAPP(c_Com_Ocom_OBODY,X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(hAPP(c_Com_Ocom_OBODY,X1)),X2,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
    inference(literals_permutation,[status(thm)],[c_0_1167]) ).

cnf(c_0_1167_1,axiom,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(hAPP(c_Com_Ocom_OBODY,X1)),X2,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
    | c_Hoare__Mirabelle_Ohoare__derivs(X2,c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(hAPP(c_Com_Ocom_OBODY,X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
    inference(literals_permutation,[status(thm)],[c_0_1167]) ).

cnf(c_0_1168_0,axiom,
    ( hBOOL(hAPP(X2,hAPP(X1,X5)))
    | ~ hBOOL(hAPP(c_Set_Ovimage(X1,X2,X3,X4),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1168]) ).

cnf(c_0_1168_1,axiom,
    ( ~ hBOOL(hAPP(c_Set_Ovimage(X1,X2,X3,X4),X5))
    | hBOOL(hAPP(X2,hAPP(X1,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_1168]) ).

cnf(c_0_1169_0,axiom,
    ( c_lessequals(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ c_lessequals(X4,X5,tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1169]) ).

cnf(c_0_1169_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | c_lessequals(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X5,tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1169]) ).

cnf(c_0_1169_2,axiom,
    ( ~ c_lessequals(X4,X5,tc_fun(X2,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | c_lessequals(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1169]) ).

cnf(c_0_1170_0,axiom,
    ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,X1)),X2),X3))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1))),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1170]) ).

cnf(c_0_1170_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1))),X2),X3))
    | hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,X1)),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1170]) ).

cnf(c_0_1171_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X5),X3),c_Set_Ovimage(X2,X4,X5,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1171]) ).

cnf(c_0_1171_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4))
    | hBOOL(hAPP(hAPP(c_in(X5),X3),c_Set_Ovimage(X2,X4,X5,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_1171]) ).

cnf(c_0_1172_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X5),X3),c_Set_Ovimage(X2,X4,X5,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1172]) ).

cnf(c_0_1172_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4))
    | hBOOL(hAPP(hAPP(c_in(X5),X3),c_Set_Ovimage(X2,X4,X5,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_1172]) ).

cnf(c_0_1173_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X5),X3),c_Set_Ovimage(X2,X4,X5,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1173]) ).

cnf(c_0_1173_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4))
    | hBOOL(hAPP(hAPP(c_in(X5),X3),c_Set_Ovimage(X2,X4,X5,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_1173]) ).

cnf(c_0_1174_0,axiom,
    ( X1 = X2
    | ~ c_Fun_Oinj__on(X3,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X4,tc_bool)),X4,X5)
    | c_Set_Oimage(X3,X1,X4,X5) != c_Set_Oimage(X3,X2,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1174]) ).

cnf(c_0_1174_1,axiom,
    ( ~ c_Fun_Oinj__on(X3,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X4,tc_bool)),X4,X5)
    | X1 = X2
    | c_Set_Oimage(X3,X1,X4,X5) != c_Set_Oimage(X3,X2,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1174]) ).

cnf(c_0_1174_2,axiom,
    ( c_Set_Oimage(X3,X1,X4,X5) != c_Set_Oimage(X3,X2,X4,X5)
    | ~ c_Fun_Oinj__on(X3,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X4,tc_bool)),X4,X5)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1174]) ).

cnf(c_0_1175_0,axiom,
    ( c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1175]) ).

cnf(c_0_1175_1,axiom,
    ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1175]) ).

cnf(c_0_1175_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X1))
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1175]) ).

cnf(c_0_1176_0,axiom,
    ( c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1176]) ).

cnf(c_0_1176_1,axiom,
    ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1176]) ).

cnf(c_0_1176_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X1))
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1176]) ).

cnf(c_0_1177_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,X4,X5,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1177]) ).

cnf(c_0_1177_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X5),X3),X4))
    | hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,X4,X5,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_1177]) ).

cnf(c_0_1178_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,X4,X5,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1178]) ).

cnf(c_0_1178_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X5),X3),X4))
    | hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,X4,X5,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_1178]) ).

cnf(c_0_1179_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X4),hAPP(X5,X2)),c_Set_Oimage(X5,X3,X1,X4)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1179]) ).

cnf(c_0_1179_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X4),hAPP(X5,X2)),c_Set_Oimage(X5,X3,X1,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_1179]) ).

cnf(c_0_1180_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X4),hAPP(X5,X2)),c_Set_Oimage(X5,X3,X1,X4)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1180]) ).

cnf(c_0_1180_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X4),hAPP(X5,X2)),c_Set_Oimage(X5,X3,X1,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_1180]) ).

cnf(c_0_1181_0,axiom,
    ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1))),X2),X3))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,X1)),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1181]) ).

cnf(c_0_1181_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,X1)),X2),X3))
    | hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1))),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1181]) ).

cnf(c_0_1182_0,axiom,
    ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(X1,X3,X5)),X2),X4))
    | ~ hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X3),X2),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1182]) ).

cnf(c_0_1182_1,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(X1,X3,X5)),X2),X4))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X3),X2),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1182]) ).

cnf(c_0_1182_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X3),X2),X4))
    | ~ hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(X1,X3,X5)),X2),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1182]) ).

cnf(c_0_1183_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(X1,X5,X3)),X2),X4))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X3),X2),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1183]) ).

cnf(c_0_1183_1,axiom,
    ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(X1,X5,X3)),X2),X4))
    | hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X3),X2),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1183]) ).

cnf(c_0_1183_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X3),X2),X4))
    | hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(X1,X5,X3)),X2),X4))
    | hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1183]) ).

cnf(c_0_1184_0,axiom,
    ( c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1184]) ).

cnf(c_0_1184_1,axiom,
    ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1184]) ).

cnf(c_0_1184_2,axiom,
    ( ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1184]) ).

cnf(c_0_1185_0,axiom,
    ( c_Hoare__Mirabelle_Otriple__valid(c_Suc(X1),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),hAPP(c_Com_Ocom_OBODY,X4)),X5),X2)
    | ~ c_Hoare__Mirabelle_Otriple__valid(X1,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X4))),X5),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1185]) ).

cnf(c_0_1185_1,axiom,
    ( ~ c_Hoare__Mirabelle_Otriple__valid(X1,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X4))),X5),X2)
    | c_Hoare__Mirabelle_Otriple__valid(c_Suc(X1),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),hAPP(c_Com_Ocom_OBODY,X4)),X5),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1185]) ).

cnf(c_0_1186_0,axiom,
    ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OWhile(X1,X3)),X2),X5))
    | ~ hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X3),X2),X4))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OWhile(X1,X3)),X4),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1186]) ).

cnf(c_0_1186_1,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OWhile(X1,X3)),X2),X5))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X3),X2),X4))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OWhile(X1,X3)),X4),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1186]) ).

cnf(c_0_1186_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X3),X2),X4))
    | ~ hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OWhile(X1,X3)),X2),X5))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OWhile(X1,X3)),X4),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1186]) ).

cnf(c_0_1186_3,axiom,
    ( ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OWhile(X1,X3)),X4),X5))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X3),X2),X4))
    | ~ hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OWhile(X1,X3)),X2),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1186]) ).

cnf(c_0_1187_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X4),hAPP(X1,X6)),X5))
    | ~ c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1187]) ).

cnf(c_0_1187_1,axiom,
    ( ~ c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X4),hAPP(X1,X6)),X5))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1187]) ).

cnf(c_0_1187_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X2))
    | ~ c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X4),hAPP(X1,X6)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1187]) ).

cnf(c_0_1188_0,axiom,
    ( X1 = X2
    | ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5)
    | c_Set_Oimage(X3,X1,X4,X5) != c_Set_Oimage(X3,X2,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1188]) ).

cnf(c_0_1188_1,axiom,
    ( ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5)
    | X1 = X2
    | c_Set_Oimage(X3,X1,X4,X5) != c_Set_Oimage(X3,X2,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1188]) ).

cnf(c_0_1188_2,axiom,
    ( c_Set_Oimage(X3,X1,X4,X5) != c_Set_Oimage(X3,X2,X4,X5)
    | ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1188]) ).

cnf(c_0_1189_0,axiom,
    ( c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1)),X2,c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(X1,X3,X2,X4),X4)
    | ~ c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X1),X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1189]) ).

cnf(c_0_1189_1,axiom,
    ( ~ c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X1),X2,X3,X4)
    | c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1)),X2,c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(X1,X3,X2,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1189]) ).

cnf(c_0_1190_0,axiom,
    ( c_Set_Ovimage(X1,c_Set_Oimage(X1,X4,X2,X3),X2,X3) = X4
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1190]) ).

cnf(c_0_1190_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | c_Set_Ovimage(X1,c_Set_Oimage(X1,X4,X2,X3),X2,X3) = X4 ),
    inference(literals_permutation,[status(thm)],[c_0_1190]) ).

cnf(c_0_1191_0,axiom,
    ( c_Hoare__Mirabelle_Otriple__valid(X1,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X4))),X5),X2)
    | ~ c_Hoare__Mirabelle_Otriple__valid(c_Suc(X1),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),hAPP(c_Com_Ocom_OBODY,X4)),X5),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1191]) ).

cnf(c_0_1191_1,axiom,
    ( ~ c_Hoare__Mirabelle_Otriple__valid(c_Suc(X1),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),hAPP(c_Com_Ocom_OBODY,X4)),X5),X2)
    | c_Hoare__Mirabelle_Otriple__valid(X1,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X4))),X5),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1191]) ).

cnf(c_0_1192_0,axiom,
    ( c_lessequals(c_Set_Ovimage(X4,X1,X5,X3),c_Set_Ovimage(X4,X2,X5,X3),tc_fun(X5,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1192]) ).

cnf(c_0_1192_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(c_Set_Ovimage(X4,X1,X5,X3),c_Set_Ovimage(X4,X2,X5,X3),tc_fun(X5,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1192]) ).

cnf(c_0_1193_0,axiom,
    ( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))
    | ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1193]) ).

cnf(c_0_1193_1,axiom,
    ( ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool))
    | c_lessequals(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1193]) ).

cnf(c_0_1194_0,axiom,
    ( c_lessequals(c_Set_Oimage(X4,X1,X3,X5),c_Set_Oimage(X4,X2,X3,X5),tc_fun(X5,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1194]) ).

cnf(c_0_1194_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(c_Set_Oimage(X4,X1,X3,X5),c_Set_Oimage(X4,X2,X3,X5),tc_fun(X5,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1194]) ).

cnf(c_0_1195_0,axiom,
    ( hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3))
    | ~ hBOOL(hAPP(X1,hAPP(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1195]) ).

cnf(c_0_1195_1,axiom,
    ( ~ hBOOL(hAPP(X1,hAPP(X2,X3)))
    | hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1195]) ).

cnf(c_0_1196_0,axiom,
    ( c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X3),X2,X4,X6)
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_Natural_Oevaln(X3,X2,X4,X5)
    | ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X3),X5,X4,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1196]) ).

cnf(c_0_1196_1,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X3),X2,X4,X6)
    | ~ c_Natural_Oevaln(X3,X2,X4,X5)
    | ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X3),X5,X4,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1196]) ).

cnf(c_0_1196_2,axiom,
    ( ~ c_Natural_Oevaln(X3,X2,X4,X5)
    | ~ hBOOL(hAPP(X1,X2))
    | c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X3),X2,X4,X6)
    | ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X3),X5,X4,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1196]) ).

cnf(c_0_1196_3,axiom,
    ( ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X3),X5,X4,X6)
    | ~ c_Natural_Oevaln(X3,X2,X4,X5)
    | ~ hBOOL(hAPP(X1,X2))
    | c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X3),X2,X4,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1196]) ).

cnf(c_0_1197_0,axiom,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))
    | ~ c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1197]) ).

cnf(c_0_1197_1,axiom,
    ( ~ c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1197]) ).

cnf(c_0_1197_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X1))
    | ~ c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1197]) ).

cnf(c_0_1198_0,axiom,
    ( c_Natural_Oevaln(X2,X4,X5,X6)
    | c_Natural_Oevaln(X3,X4,X5,X6)
    | ~ c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X2,X3),X4,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1198]) ).

cnf(c_0_1198_1,axiom,
    ( c_Natural_Oevaln(X3,X4,X5,X6)
    | c_Natural_Oevaln(X2,X4,X5,X6)
    | ~ c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X2,X3),X4,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1198]) ).

cnf(c_0_1198_2,axiom,
    ( ~ c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X2,X3),X4,X5,X6)
    | c_Natural_Oevaln(X3,X4,X5,X6)
    | c_Natural_Oevaln(X2,X4,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1198]) ).

cnf(c_0_1199_0,axiom,
    ( c_Natural_Oevaln(c_Com_Ocom_OSemi(X1,X5),X2,X3,X6)
    | ~ c_Natural_Oevaln(X1,X2,X3,X4)
    | ~ c_Natural_Oevaln(X5,X4,X3,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1199]) ).

cnf(c_0_1199_1,axiom,
    ( ~ c_Natural_Oevaln(X1,X2,X3,X4)
    | c_Natural_Oevaln(c_Com_Ocom_OSemi(X1,X5),X2,X3,X6)
    | ~ c_Natural_Oevaln(X5,X4,X3,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1199]) ).

cnf(c_0_1199_2,axiom,
    ( ~ c_Natural_Oevaln(X5,X4,X3,X6)
    | ~ c_Natural_Oevaln(X1,X2,X3,X4)
    | c_Natural_Oevaln(c_Com_Ocom_OSemi(X1,X5),X2,X3,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1199]) ).

cnf(c_0_1200_0,axiom,
    ( hBOOL(hAPP(hAPP(X4,X5),X7))
    | ~ c_Hoare__Mirabelle_Otriple__valid(X1,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),X3),X4),t_a)
    | ~ hBOOL(hAPP(hAPP(X2,X5),X6))
    | ~ c_Natural_Oevaln(X3,X6,X1,X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1200]) ).

cnf(c_0_1200_1,axiom,
    ( ~ c_Hoare__Mirabelle_Otriple__valid(X1,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),X3),X4),t_a)
    | hBOOL(hAPP(hAPP(X4,X5),X7))
    | ~ hBOOL(hAPP(hAPP(X2,X5),X6))
    | ~ c_Natural_Oevaln(X3,X6,X1,X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1200]) ).

cnf(c_0_1200_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(X2,X5),X6))
    | ~ c_Hoare__Mirabelle_Otriple__valid(X1,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),X3),X4),t_a)
    | hBOOL(hAPP(hAPP(X4,X5),X7))
    | ~ c_Natural_Oevaln(X3,X6,X1,X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1200]) ).

cnf(c_0_1200_3,axiom,
    ( ~ c_Natural_Oevaln(X3,X6,X1,X7)
    | ~ hBOOL(hAPP(hAPP(X2,X5),X6))
    | ~ c_Hoare__Mirabelle_Otriple__valid(X1,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),X3),X4),t_a)
    | hBOOL(hAPP(hAPP(X4,X5),X7)) ),
    inference(literals_permutation,[status(thm)],[c_0_1200]) ).

cnf(c_0_1201_0,axiom,
    ( c_Set_Oinsert(hAPP(X4,X2),c_Set_Oimage(X4,X3,X1,X5),X5) = c_Set_Oimage(X4,X3,X1,X5)
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1201]) ).

cnf(c_0_1201_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_Set_Oinsert(hAPP(X4,X2),c_Set_Oimage(X4,X3,X1,X5),X5) = c_Set_Oimage(X4,X3,X1,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1201]) ).

cnf(c_0_1202_0,axiom,
    ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OSemi(X1,X4)),X2),X5))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X4),X3),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1202]) ).

cnf(c_0_1202_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X1),X2),X3))
    | hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OSemi(X1,X4)),X2),X5))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X4),X3),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1202]) ).

cnf(c_0_1202_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X4),X3),X5))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X1),X2),X3))
    | hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OSemi(X1,X4)),X2),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1202]) ).

cnf(c_0_1203_0,axiom,
    ( c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(X1,X3,X2,X4)) = X3
    | ~ c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X1),X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1203]) ).

cnf(c_0_1203_1,axiom,
    ( ~ c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X1),X2,X3,X4)
    | c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(X1,X3,X2,X4)) = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_1203]) ).

cnf(c_0_1204_0,axiom,
    ( c_Fun_Oinj__on(X1,X3,X4,X5)
    | ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1204]) ).

cnf(c_0_1204_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5)
    | c_Fun_Oinj__on(X1,X3,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1204]) ).

cnf(c_0_1205_0,axiom,
    ( c_Fun_Oinj__on(X1,X2,X4,X5)
    | ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1205]) ).

cnf(c_0_1205_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5)
    | c_Fun_Oinj__on(X1,X2,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1205]) ).

cnf(c_0_1206_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X1,tc_bool)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1206]) ).

cnf(c_0_1206_1,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X1,tc_bool)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1206]) ).

cnf(c_0_1206_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X1,tc_bool))))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1206]) ).

cnf(c_0_1207_0,axiom,
    ( c_Natural_Oevaln(X2,X4,X5,X6)
    | ~ c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X2,X3),X4,X5,X6)
    | ~ hBOOL(hAPP(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1207]) ).

cnf(c_0_1207_1,axiom,
    ( ~ c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X2,X3),X4,X5,X6)
    | c_Natural_Oevaln(X2,X4,X5,X6)
    | ~ hBOOL(hAPP(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1207]) ).

cnf(c_0_1207_2,axiom,
    ( ~ hBOOL(hAPP(X1,X4))
    | ~ c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X2,X3),X4,X5,X6)
    | c_Natural_Oevaln(X2,X4,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1207]) ).

cnf(c_0_1208_0,axiom,
    ( X1 = X2
    | X1 = X3
    | c_Set_Oinsert(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1208]) ).

cnf(c_0_1208_1,axiom,
    ( X1 = X3
    | X1 = X2
    | c_Set_Oinsert(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1208]) ).

cnf(c_0_1208_2,axiom,
    ( c_Set_Oinsert(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5)
    | X1 = X3
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1208]) ).

cnf(c_0_1209_0,axiom,
    ( X1 = X2
    | X3 = X2
    | c_Set_Oinsert(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X2,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1209]) ).

cnf(c_0_1209_1,axiom,
    ( X3 = X2
    | X1 = X2
    | c_Set_Oinsert(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X2,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1209]) ).

cnf(c_0_1209_2,axiom,
    ( c_Set_Oinsert(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X2,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)
    | X3 = X2
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1209]) ).

cnf(c_0_1210_0,axiom,
    ( X1 = X2
    | X3 = X2
    | c_Set_Oinsert(X3,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X5,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1210]) ).

cnf(c_0_1210_1,axiom,
    ( X3 = X2
    | X1 = X2
    | c_Set_Oinsert(X3,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X5,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1210]) ).

cnf(c_0_1210_2,axiom,
    ( c_Set_Oinsert(X3,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X5,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)
    | X3 = X2
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1210]) ).

cnf(c_0_1211_0,axiom,
    ( X1 = X2
    | X1 = X3
    | c_Set_Oinsert(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1211]) ).

cnf(c_0_1211_1,axiom,
    ( X1 = X3
    | X1 = X2
    | c_Set_Oinsert(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1211]) ).

cnf(c_0_1211_2,axiom,
    ( c_Set_Oinsert(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5)
    | X1 = X3
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1211]) ).

cnf(c_0_1212_0,axiom,
    ( hBOOL(hAPP(X1,X4))
    | c_Natural_Oevaln(X3,X4,X5,X6)
    | ~ c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X2,X3),X4,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1212]) ).

cnf(c_0_1212_1,axiom,
    ( c_Natural_Oevaln(X3,X4,X5,X6)
    | hBOOL(hAPP(X1,X4))
    | ~ c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X2,X3),X4,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1212]) ).

cnf(c_0_1212_2,axiom,
    ( ~ c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X2,X3),X4,X5,X6)
    | c_Natural_Oevaln(X3,X4,X5,X6)
    | hBOOL(hAPP(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1212]) ).

cnf(c_0_1213_0,axiom,
    ( X2 = X3
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_1213]) ).

cnf(c_0_1213_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)))
    | X2 = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_1213]) ).

cnf(c_0_1214_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1214]) ).

cnf(c_0_1214_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1214]) ).

cnf(c_0_1215_0,axiom,
    ( c_Fun_Oinj__on(X1,X3,X4,X5)
    | ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1215]) ).

cnf(c_0_1215_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5)
    | c_Fun_Oinj__on(X1,X3,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1215]) ).

cnf(c_0_1216_0,axiom,
    ( c_Set_Oinsert(X2,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),tc_fun(X1,tc_bool)),X1) = X3
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1216]) ).

cnf(c_0_1216_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_Set_Oinsert(X2,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),tc_fun(X1,tc_bool)),X1) = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_1216]) ).

cnf(c_0_1217_0,axiom,
    ( c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X3,X6),X2,X4,X5)
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_Natural_Oevaln(X3,X2,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1217]) ).

cnf(c_0_1217_1,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X3,X6),X2,X4,X5)
    | ~ c_Natural_Oevaln(X3,X2,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1217]) ).

cnf(c_0_1217_2,axiom,
    ( ~ c_Natural_Oevaln(X3,X2,X4,X5)
    | ~ hBOOL(hAPP(X1,X2))
    | c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X3,X6),X2,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1217]) ).

cnf(c_0_1218_0,axiom,
    ( c_Fun_Oinj__on(X1,c_HOL_Ominus__class_Ominus(X2,X5,tc_fun(X3,tc_bool)),X3,X4)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1218]) ).

cnf(c_0_1218_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | c_Fun_Oinj__on(X1,c_HOL_Ominus__class_Ominus(X2,X5,tc_fun(X3,tc_bool)),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1218]) ).

cnf(c_0_1219_0,axiom,
    ( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X1),X2,c_Suc(X3),X4)
    | ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1)),X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1219]) ).

cnf(c_0_1219_1,axiom,
    ( ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1)),X2,X3,X4)
    | c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X1),X2,c_Suc(X3),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1219]) ).

cnf(c_0_1220_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X6,X3),X2,X4,X5)
    | ~ c_Natural_Oevaln(X3,X2,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1220]) ).

cnf(c_0_1220_1,axiom,
    ( c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X6,X3),X2,X4,X5)
    | hBOOL(hAPP(X1,X2))
    | ~ c_Natural_Oevaln(X3,X2,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1220]) ).

cnf(c_0_1220_2,axiom,
    ( ~ c_Natural_Oevaln(X3,X2,X4,X5)
    | c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X6,X3),X2,X4,X5)
    | hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1220]) ).

cnf(c_0_1221_0,axiom,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X2,X4,tc_Hoare__Mirabelle_Otriple(X3)),X3)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)),tc_Hoare__Mirabelle_Otriple(X3)),X3)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1221]) ).

cnf(c_0_1221_1,axiom,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)),tc_Hoare__Mirabelle_Otriple(X3)),X3)
    | c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X2,X4,tc_Hoare__Mirabelle_Otriple(X3)),X3)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1221]) ).

cnf(c_0_1221_2,axiom,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)),tc_Hoare__Mirabelle_Otriple(X3)),X3)
    | c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X2,X4,tc_Hoare__Mirabelle_Otriple(X3)),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1221]) ).

cnf(c_0_1222_0,axiom,
    ( X5 = X6
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X5),X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X2))
    | hAPP(X1,X5) != hAPP(X1,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1222]) ).

cnf(c_0_1222_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | X5 = X6
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X5),X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X2))
    | hAPP(X1,X5) != hAPP(X1,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1222]) ).

cnf(c_0_1222_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X3),X5),X2))
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | X5 = X6
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X2))
    | hAPP(X1,X5) != hAPP(X1,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1222]) ).

cnf(c_0_1222_3,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X5),X2))
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | X5 = X6
    | hAPP(X1,X5) != hAPP(X1,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1222]) ).

cnf(c_0_1222_4,axiom,
    ( hAPP(X1,X5) != hAPP(X1,X6)
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X5),X2))
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | X5 = X6 ),
    inference(literals_permutation,[status(thm)],[c_0_1222]) ).

cnf(c_0_1223_0,axiom,
    ( X1 = X2
    | ~ c_Fun_Oinj__on(X3,X4,X5,X6)
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X1),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X2),X4))
    | hAPP(X3,X1) != hAPP(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1223]) ).

cnf(c_0_1223_1,axiom,
    ( ~ c_Fun_Oinj__on(X3,X4,X5,X6)
    | X1 = X2
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X1),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X2),X4))
    | hAPP(X3,X1) != hAPP(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1223]) ).

cnf(c_0_1223_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X5),X1),X4))
    | ~ c_Fun_Oinj__on(X3,X4,X5,X6)
    | X1 = X2
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X2),X4))
    | hAPP(X3,X1) != hAPP(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1223]) ).

cnf(c_0_1223_3,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X5),X2),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X1),X4))
    | ~ c_Fun_Oinj__on(X3,X4,X5,X6)
    | X1 = X2
    | hAPP(X3,X1) != hAPP(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1223]) ).

cnf(c_0_1223_4,axiom,
    ( hAPP(X3,X1) != hAPP(X3,X2)
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X2),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X1),X4))
    | ~ c_Fun_Oinj__on(X3,X4,X5,X6)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1223]) ).

cnf(c_0_1224_0,axiom,
    ( X1 = X2
    | ~ c_Fun_Oinj__on(X3,X4,X5,X6)
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X1),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X2),X4))
    | hAPP(X3,X1) != hAPP(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1224]) ).

cnf(c_0_1224_1,axiom,
    ( ~ c_Fun_Oinj__on(X3,X4,X5,X6)
    | X1 = X2
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X1),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X2),X4))
    | hAPP(X3,X1) != hAPP(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1224]) ).

cnf(c_0_1224_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X5),X1),X4))
    | ~ c_Fun_Oinj__on(X3,X4,X5,X6)
    | X1 = X2
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X2),X4))
    | hAPP(X3,X1) != hAPP(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1224]) ).

cnf(c_0_1224_3,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X5),X2),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X1),X4))
    | ~ c_Fun_Oinj__on(X3,X4,X5,X6)
    | X1 = X2
    | hAPP(X3,X1) != hAPP(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1224]) ).

cnf(c_0_1224_4,axiom,
    ( hAPP(X3,X1) != hAPP(X3,X2)
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X2),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X1),X4))
    | ~ c_Fun_Oinj__on(X3,X4,X5,X6)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1224]) ).

cnf(c_0_1225_0,axiom,
    ( X2 = X4
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X4),X3))
    | ~ c_Fun_Oinj__on(X5,X3,X1,X6)
    | hAPP(X5,X2) != hAPP(X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1225]) ).

cnf(c_0_1225_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | X2 = X4
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X4),X3))
    | ~ c_Fun_Oinj__on(X5,X3,X1,X6)
    | hAPP(X5,X2) != hAPP(X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1225]) ).

cnf(c_0_1225_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X4),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | X2 = X4
    | ~ c_Fun_Oinj__on(X5,X3,X1,X6)
    | hAPP(X5,X2) != hAPP(X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1225]) ).

cnf(c_0_1225_3,axiom,
    ( ~ c_Fun_Oinj__on(X5,X3,X1,X6)
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X4),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | X2 = X4
    | hAPP(X5,X2) != hAPP(X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1225]) ).

cnf(c_0_1225_4,axiom,
    ( hAPP(X5,X2) != hAPP(X5,X4)
    | ~ c_Fun_Oinj__on(X5,X3,X1,X6)
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X4),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | X2 = X4 ),
    inference(literals_permutation,[status(thm)],[c_0_1225]) ).

cnf(c_0_1226_0,axiom,
    ( c_Fun_Oinj__on(X1,X5,X3,X4)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1226]) ).

cnf(c_0_1226_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | c_Fun_Oinj__on(X1,X5,X3,X4)
    | ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1226]) ).

cnf(c_0_1226_2,axiom,
    ( ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | c_Fun_Oinj__on(X1,X5,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1226]) ).

cnf(c_0_1227_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1227]) ).

cnf(c_0_1227_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1227]) ).

cnf(c_0_1228_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1228]) ).

cnf(c_0_1228_1,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1228]) ).

cnf(c_0_1228_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1228]) ).

cnf(c_0_1229_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1229]) ).

cnf(c_0_1229_1,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1229]) ).

cnf(c_0_1229_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1229]) ).

cnf(c_0_1230_0,axiom,
    ( c_Natural_Oevaln(X1,X2,c_Suc(X3),X4)
    | ~ c_Natural_Oevaln(X1,X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1230]) ).

cnf(c_0_1230_1,axiom,
    ( ~ c_Natural_Oevaln(X1,X2,X3,X4)
    | c_Natural_Oevaln(X1,X2,c_Suc(X3),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1230]) ).

cnf(c_0_1231_0,axiom,
    ( X4 = X3
    | hBOOL(hAPP(X1,X3))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OWhile(X1,X2)),X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1231]) ).

cnf(c_0_1231_1,axiom,
    ( hBOOL(hAPP(X1,X3))
    | X4 = X3
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OWhile(X1,X2)),X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1231]) ).

cnf(c_0_1231_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OWhile(X1,X2)),X3),X4))
    | hBOOL(hAPP(X1,X3))
    | X4 = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_1231]) ).

cnf(c_0_1232_0,axiom,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X5,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1232]) ).

cnf(c_0_1232_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(c_HOL_Ominus__class_Ominus(X1,X5,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1232]) ).

cnf(c_0_1232_2,axiom,
    ( ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(c_HOL_Ominus__class_Ominus(X1,X5,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1232]) ).

cnf(c_0_1233_0,axiom,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1233]) ).

cnf(c_0_1233_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1233]) ).

cnf(c_0_1233_2,axiom,
    ( ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1233]) ).

cnf(c_0_1234_0,axiom,
    ( X2 = X3
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X3,X4,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_1234]) ).

cnf(c_0_1234_1,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | X2 = X3
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X3,X4,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_1234]) ).

cnf(c_0_1234_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X3,X4,X1)))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | X2 = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_1234]) ).

cnf(c_0_1235_0,axiom,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X4),tc_bool)),tc_Hoare__Mirabelle_Otriple(X4)),X4)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X2,X3,tc_Hoare__Mirabelle_Otriple(X4)),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1235]) ).

cnf(c_0_1235_1,axiom,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X2,X3,tc_Hoare__Mirabelle_Otriple(X4)),X4)
    | c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X4),tc_bool)),tc_Hoare__Mirabelle_Otriple(X4)),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1235]) ).

cnf(c_0_1236_0,axiom,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))
    | ~ c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1236]) ).

cnf(c_0_1236_1,axiom,
    ( ~ c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))
    | c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1236]) ).

cnf(c_0_1237_0,axiom,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1237]) ).

cnf(c_0_1237_1,axiom,
    ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1237]) ).

cnf(c_0_1238_0,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | X1 = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
    | ~ c_lessequals(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1238]) ).

cnf(c_0_1238_1,axiom,
    ( X1 = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1238]) ).

cnf(c_0_1238_2,axiom,
    ( ~ c_lessequals(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool))
    | X1 = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1238]) ).

cnf(c_0_1239_0,axiom,
    ( hBOOL(hAPP(X1,X4))
    | hBOOL(hAPP(X2,X4))
    | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1239]) ).

cnf(c_0_1239_1,axiom,
    ( hBOOL(hAPP(X2,X4))
    | hBOOL(hAPP(X1,X4))
    | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1239]) ).

cnf(c_0_1239_2,axiom,
    ( ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))
    | hBOOL(hAPP(X2,X4))
    | hBOOL(hAPP(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1239]) ).

cnf(c_0_1240_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X1,tc_bool))))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1240]) ).

cnf(c_0_1240_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X1,tc_bool)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1240]) ).

cnf(c_0_1241_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(X4,X3,tc_fun(X1,tc_bool))))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1241]) ).

cnf(c_0_1241_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(X4,X3,tc_fun(X1,tc_bool)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1241]) ).

cnf(c_0_1242_0,axiom,
    ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X1),X2),X4))
    | ~ c_Natural_Oevaln(X1,X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1242]) ).

cnf(c_0_1242_1,axiom,
    ( ~ c_Natural_Oevaln(X1,X2,X3,X4)
    | hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X1),X2),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1242]) ).

cnf(c_0_1243_0,axiom,
    ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X1),X2),X4))
    | ~ c_Natural_Oevaln(X1,X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1243]) ).

cnf(c_0_1243_1,axiom,
    ( ~ c_Natural_Oevaln(X1,X2,X3,X4)
    | hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X1),X2),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1243]) ).

cnf(c_0_1244_0,axiom,
    ( X4 = X3
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X1),X2),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1244]) ).

cnf(c_0_1244_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X1),X2),X3))
    | X4 = X3
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X1),X2),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1244]) ).

cnf(c_0_1244_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X1),X2),X4))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X1),X2),X3))
    | X4 = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_1244]) ).

cnf(c_0_1245_0,axiom,
    ( X1 = X2
    | ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5)
    | hAPP(X3,X1) != hAPP(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1245]) ).

cnf(c_0_1245_1,axiom,
    ( ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5)
    | X1 = X2
    | hAPP(X3,X1) != hAPP(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1245]) ).

cnf(c_0_1245_2,axiom,
    ( hAPP(X3,X1) != hAPP(X3,X2)
    | ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1245]) ).

cnf(c_0_1246_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X2,X3,X1),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),tc_fun(X1,tc_bool)) = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_1246]) ).

cnf(c_0_1246_1,axiom,
    ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X2,X3,X1),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),tc_fun(X1,tc_bool)) = X3
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1246]) ).

cnf(c_0_1247_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X2,X4,X1),X3,tc_fun(X1,tc_bool)) = c_Set_Oinsert(X2,c_HOL_Ominus__class_Ominus(X4,X3,tc_fun(X1,tc_bool)),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1247]) ).

cnf(c_0_1247_1,axiom,
    ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X2,X4,X1),X3,tc_fun(X1,tc_bool)) = c_Set_Oinsert(X2,c_HOL_Ominus__class_Ominus(X4,X3,tc_fun(X1,tc_bool)),X1)
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1247]) ).

cnf(c_0_1248_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X4,X3,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1248]) ).

cnf(c_0_1248_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X4,X3,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_1248]) ).

cnf(c_0_1249_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X4,X3,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1249]) ).

cnf(c_0_1249_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X4,X3,X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_1249]) ).

cnf(c_0_1250_0,axiom,
    ( c_HOL_Ominus__class_Ominus(X2,c_HOL_Ominus__class_Ominus(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1250]) ).

cnf(c_0_1250_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_HOL_Ominus__class_Ominus(X2,c_HOL_Ominus__class_Ominus(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1250]) ).

cnf(c_0_1250_2,axiom,
    ( ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_HOL_Ominus__class_Ominus(X2,c_HOL_Ominus__class_Ominus(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_1250]) ).

cnf(c_0_1251_0,axiom,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1251]) ).

cnf(c_0_1251_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1251]) ).

cnf(c_0_1251_2,axiom,
    ( ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1251]) ).

cnf(c_0_1252_0,axiom,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1252]) ).

cnf(c_0_1252_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1252]) ).

cnf(c_0_1252_2,axiom,
    ( ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1252]) ).

cnf(c_0_1253_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X4),X2),X1))
    | c_lessequals(X1,X3,tc_fun(X4,tc_bool))
    | ~ c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1253]) ).

cnf(c_0_1253_1,axiom,
    ( c_lessequals(X1,X3,tc_fun(X4,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X4),X2),X1))
    | ~ c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1253]) ).

cnf(c_0_1253_2,axiom,
    ( ~ c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | c_lessequals(X1,X3,tc_fun(X4,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X4),X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1253]) ).

cnf(c_0_1254_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_lessequals(X3,X4,tc_fun(X1,tc_bool))
    | ~ c_lessequals(X3,c_Set_Oinsert(X2,X4,X1),tc_fun(X1,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1254]) ).

cnf(c_0_1254_1,axiom,
    ( c_lessequals(X3,X4,tc_fun(X1,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ c_lessequals(X3,c_Set_Oinsert(X2,X4,X1),tc_fun(X1,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1254]) ).

cnf(c_0_1254_2,axiom,
    ( ~ c_lessequals(X3,c_Set_Oinsert(X2,X4,X1),tc_fun(X1,tc_bool))
    | c_lessequals(X3,X4,tc_fun(X1,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1254]) ).

cnf(c_0_1255_0,axiom,
    ( c_lessequals(c_Set_Oinsert(X2,X4,X1),X3,tc_fun(X1,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ c_lessequals(X4,X3,tc_fun(X1,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1255]) ).

cnf(c_0_1255_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_lessequals(c_Set_Oinsert(X2,X4,X1),X3,tc_fun(X1,tc_bool))
    | ~ c_lessequals(X4,X3,tc_fun(X1,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1255]) ).

cnf(c_0_1255_2,axiom,
    ( ~ c_lessequals(X4,X3,tc_fun(X1,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_lessequals(c_Set_Oinsert(X2,X4,X1),X3,tc_fun(X1,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1255]) ).

cnf(c_0_1256_0,axiom,
    ( X5 = X3
    | hBOOL(hAPP(X1,X3))
    | ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X2),X3,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1256]) ).

cnf(c_0_1256_1,axiom,
    ( hBOOL(hAPP(X1,X3))
    | X5 = X3
    | ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X2),X3,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1256]) ).

cnf(c_0_1256_2,axiom,
    ( ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X2),X3,X4,X5)
    | hBOOL(hAPP(X1,X3))
    | X5 = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_1256]) ).

cnf(c_0_1257_0,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Set_Oimage(X3,X1,X2,X4) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1257]) ).

cnf(c_0_1257_1,axiom,
    ( c_Set_Oimage(X3,X1,X2,X4) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1257]) ).

cnf(c_0_1258_0,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Set_Oimage(X4,X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1258]) ).

cnf(c_0_1258_1,axiom,
    ( c_Set_Oimage(X4,X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1258]) ).

cnf(c_0_1259_0,axiom,
    ( c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1259]) ).

cnf(c_0_1259_1,axiom,
    ( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1259]) ).

cnf(c_0_1260_0,axiom,
    ( c_lessequals(X1,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1260]) ).

cnf(c_0_1260_1,axiom,
    ( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1260]) ).

cnf(c_0_1261_0,axiom,
    ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X2,X4,X1),X3,tc_fun(X1,tc_bool)) = c_HOL_Ominus__class_Ominus(X4,X3,tc_fun(X1,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1261]) ).

cnf(c_0_1261_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X2,X4,X1),X3,tc_fun(X1,tc_bool)) = c_HOL_Ominus__class_Ominus(X4,X3,tc_fun(X1,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1261]) ).

cnf(c_0_1262_0,axiom,
    ( X1 = X4
    | hBOOL(hAPP(X2,X4))
    | ~ hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1262]) ).

cnf(c_0_1262_1,axiom,
    ( hBOOL(hAPP(X2,X4))
    | X1 = X4
    | ~ hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1262]) ).

cnf(c_0_1262_2,axiom,
    ( ~ hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))
    | hBOOL(hAPP(X2,X4))
    | X1 = X4 ),
    inference(literals_permutation,[status(thm)],[c_0_1262]) ).

cnf(c_0_1263_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_lessequals(X3,c_Set_Oinsert(X2,X4,X1),tc_fun(X1,tc_bool))
    | ~ c_lessequals(X3,X4,tc_fun(X1,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1263]) ).

cnf(c_0_1263_1,axiom,
    ( c_lessequals(X3,c_Set_Oinsert(X2,X4,X1),tc_fun(X1,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ c_lessequals(X3,X4,tc_fun(X1,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1263]) ).

cnf(c_0_1263_2,axiom,
    ( ~ c_lessequals(X3,X4,tc_fun(X1,tc_bool))
    | c_lessequals(X3,c_Set_Oinsert(X2,X4,X1),tc_fun(X1,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1263]) ).

cnf(c_0_1264_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_lessequals(X3,c_Set_Oinsert(X2,X4,X1),tc_fun(X1,tc_bool))
    | ~ c_lessequals(X3,X4,tc_fun(X1,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1264]) ).

cnf(c_0_1264_1,axiom,
    ( c_lessequals(X3,c_Set_Oinsert(X2,X4,X1),tc_fun(X1,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ c_lessequals(X3,X4,tc_fun(X1,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1264]) ).

cnf(c_0_1264_2,axiom,
    ( ~ c_lessequals(X3,X4,tc_fun(X1,tc_bool))
    | c_lessequals(X3,c_Set_Oinsert(X2,X4,X1),tc_fun(X1,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1264]) ).

cnf(c_0_1265_0,axiom,
    ( c_lessequals(c_Set_Oinsert(X4,X1,X3),c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1265]) ).

cnf(c_0_1265_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(c_Set_Oinsert(X4,X1,X3),c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1265]) ).

cnf(c_0_1266_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OWhile(X1,X3)),X2),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1266]) ).

cnf(c_0_1266_1,axiom,
    ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OWhile(X1,X3)),X2),X2))
    | hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1266]) ).

cnf(c_0_1267_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X3),X1),X4))
    | ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1267]) ).

cnf(c_0_1267_1,axiom,
    ( ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X3),X1),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1267]) ).

cnf(c_0_1268_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X3),X4),X2))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1268]) ).

cnf(c_0_1268_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X3),X4),X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1268]) ).

cnf(c_0_1268_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X1))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X3),X4),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1268]) ).

cnf(c_0_1269_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X3),X4),X2))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1269]) ).

cnf(c_0_1269_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X3),X4),X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1269]) ).

cnf(c_0_1269_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X1))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X3),X4),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1269]) ).

cnf(c_0_1270_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ c_lessequals(X3,X4,tc_fun(X1,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1270]) ).

cnf(c_0_1270_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | ~ c_lessequals(X3,X4,tc_fun(X1,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1270]) ).

cnf(c_0_1270_2,axiom,
    ( ~ c_lessequals(X3,X4,tc_fun(X1,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1270]) ).

cnf(c_0_1271_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X3),X4),X2))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1271]) ).

cnf(c_0_1271_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X3),X4),X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1271]) ).

cnf(c_0_1271_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X1))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X3),X4),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1271]) ).

cnf(c_0_1272_0,axiom,
    ( X3 = X1
    | ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1272]) ).

cnf(c_0_1272_1,axiom,
    ( ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,X1,X2,X3)
    | X3 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_1272]) ).

cnf(c_0_1273_0,axiom,
    ( X1 = X2
    | hBOOL(hAPP(hAPP(c_in(X3),X4),X1))
    | hBOOL(hAPP(hAPP(c_in(X3),X4),X2))
    | c_Set_Oinsert(X4,X1,X3) != c_Set_Oinsert(X4,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1273]) ).

cnf(c_0_1273_1,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X3),X4),X1))
    | X1 = X2
    | hBOOL(hAPP(hAPP(c_in(X3),X4),X2))
    | c_Set_Oinsert(X4,X1,X3) != c_Set_Oinsert(X4,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1273]) ).

cnf(c_0_1273_2,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X3),X4),X2))
    | hBOOL(hAPP(hAPP(c_in(X3),X4),X1))
    | X1 = X2
    | c_Set_Oinsert(X4,X1,X3) != c_Set_Oinsert(X4,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1273]) ).

cnf(c_0_1273_3,axiom,
    ( c_Set_Oinsert(X4,X1,X3) != c_Set_Oinsert(X4,X2,X3)
    | hBOOL(hAPP(hAPP(c_in(X3),X4),X2))
    | hBOOL(hAPP(hAPP(c_in(X3),X4),X1))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1273]) ).

cnf(c_0_1274_0,axiom,
    ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),X2))
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1274]) ).

cnf(c_0_1274_1,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1274]) ).

cnf(c_0_1275_0,axiom,
    ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X4,tc_bool)),X2))
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1275]) ).

cnf(c_0_1275_1,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X4,tc_bool)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1275]) ).

cnf(c_0_1276_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))))
    | ~ hBOOL(hAPP(X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1276]) ).

cnf(c_0_1276_1,axiom,
    ( ~ hBOOL(hAPP(X3,X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1276]) ).

cnf(c_0_1277_0,axiom,
    ( c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1277]) ).

cnf(c_0_1277_1,axiom,
    ( ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))
    | c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1277]) ).

cnf(c_0_1278_0,axiom,
    ( X1 = X2
    | hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X4),X5),X1) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X6),X7),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1278]) ).

cnf(c_0_1278_1,axiom,
    ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X4),X5),X1) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X6),X7),X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1278]) ).

cnf(c_0_1279_0,axiom,
    ( X1 = X2
    | hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X4),X1),X5) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X6),X2),X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1279]) ).

cnf(c_0_1279_1,axiom,
    ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X4),X1),X5) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X6),X2),X7)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1279]) ).

cnf(c_0_1280_0,axiom,
    ( X1 = X2
    | hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X1),X4),X5) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X2),X6),X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1280]) ).

cnf(c_0_1280_1,axiom,
    ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X1),X4),X5) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X2),X6),X7)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1280]) ).

cnf(c_0_1281_0,axiom,
    ( hBOOL(hAPP(X3,X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1281]) ).

cnf(c_0_1281_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))))
    | hBOOL(hAPP(X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1281]) ).

cnf(c_0_1282_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1282]) ).

cnf(c_0_1282_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1282]) ).

cnf(c_0_1283_0,axiom,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1283]) ).

cnf(c_0_1283_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1283]) ).

cnf(c_0_1283_2,axiom,
    ( ~ c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1283]) ).

cnf(c_0_1283_3,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1283]) ).

cnf(c_0_1284_0,axiom,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1284]) ).

cnf(c_0_1284_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1284]) ).

cnf(c_0_1284_2,axiom,
    ( ~ c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1284]) ).

cnf(c_0_1284_3,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1284]) ).

cnf(c_0_1285_0,axiom,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1285]) ).

cnf(c_0_1285_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1285]) ).

cnf(c_0_1285_2,axiom,
    ( ~ c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1285]) ).

cnf(c_0_1285_3,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1285]) ).

cnf(c_0_1286_0,axiom,
    ( X1 = X2
    | c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) != c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1286]) ).

cnf(c_0_1286_1,axiom,
    ( c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) != c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1286]) ).

cnf(c_0_1287_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1287]) ).

cnf(c_0_1287_1,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1287]) ).

cnf(c_0_1288_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)
    | ~ class_Lattices_Oupper__semilattice(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1288]) ).

cnf(c_0_1288_1,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X4)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1288]) ).

cnf(c_0_1289_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)
    | ~ class_Lattices_Olattice(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1289]) ).

cnf(c_0_1289_1,axiom,
    ( ~ class_Lattices_Olattice(X4)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1289]) ).

cnf(c_0_1290_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1290]) ).

cnf(c_0_1290_1,axiom,
    ( ~ class_Lattices_Olattice(X3)
    | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1290]) ).

cnf(c_0_1291_0,axiom,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,X3,X4)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X2,X3,tc_Hoare__Mirabelle_Otriple(X4)),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1291]) ).

cnf(c_0_1291_1,axiom,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X2,X3,tc_Hoare__Mirabelle_Otriple(X4)),X4)
    | c_Hoare__Mirabelle_Ohoare__derivs(X1,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1291]) ).

cnf(c_0_1292_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1292]) ).

cnf(c_0_1292_1,axiom,
    ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1292]) ).

cnf(c_0_1292_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1292]) ).

cnf(c_0_1293_0,axiom,
    ( c_lessequals(X1,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1293]) ).

cnf(c_0_1293_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(X1,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1293]) ).

cnf(c_0_1293_2,axiom,
    ( ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1293]) ).

cnf(c_0_1294_0,axiom,
    ( c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1294]) ).

cnf(c_0_1294_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X5,X3)
    | c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1294]) ).

cnf(c_0_1294_2,axiom,
    ( c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1294]) ).

cnf(c_0_1294_3,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1294]) ).

cnf(c_0_1295_0,axiom,
    ( c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1295]) ).

cnf(c_0_1295_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X5,X3)
    | c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1295]) ).

cnf(c_0_1295_2,axiom,
    ( c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1295]) ).

cnf(c_0_1295_3,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1295]) ).

cnf(c_0_1296_0,axiom,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1296]) ).

cnf(c_0_1296_1,axiom,
    ( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | c_lessequals(X1,X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1296]) ).

cnf(c_0_1296_2,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | c_lessequals(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1296]) ).

cnf(c_0_1297_0,axiom,
    ( c_lessequals(X2,X4,X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1297]) ).

cnf(c_0_1297_1,axiom,
    ( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | c_lessequals(X2,X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1297]) ).

cnf(c_0_1297_2,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | c_lessequals(X2,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1297]) ).

cnf(c_0_1298_0,axiom,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1298]) ).

cnf(c_0_1298_1,axiom,
    ( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | c_lessequals(X1,X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1298]) ).

cnf(c_0_1298_2,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | c_lessequals(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1298]) ).

cnf(c_0_1299_0,axiom,
    ( c_lessequals(X2,X4,X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1299]) ).

cnf(c_0_1299_1,axiom,
    ( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | c_lessequals(X2,X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1299]) ).

cnf(c_0_1299_2,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | c_lessequals(X2,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1299]) ).

cnf(c_0_1300_0,axiom,
    ( c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1300]) ).

cnf(c_0_1300_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1300]) ).

cnf(c_0_1301_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X3),X2,X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1301]) ).

cnf(c_0_1301_1,axiom,
    ( c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X3),X2,X4,X2)
    | hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1301]) ).

cnf(c_0_1302_0,axiom,
    ( hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2))
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1302]) ).

cnf(c_0_1302_1,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1302]) ).

cnf(c_0_1303_0,axiom,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
    | ~ c_lessequals(X4,X2,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1303]) ).

cnf(c_0_1303_1,axiom,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
    | c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3)
    | ~ c_lessequals(X4,X2,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1303]) ).

cnf(c_0_1303_2,axiom,
    ( ~ c_lessequals(X4,X2,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool))
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
    | c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1303]) ).

cnf(c_0_1304_0,axiom,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X4,X2,X3)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
    | ~ c_lessequals(X1,X4,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1304]) ).

cnf(c_0_1304_1,axiom,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
    | c_Hoare__Mirabelle_Ohoare__derivs(X4,X2,X3)
    | ~ c_lessequals(X1,X4,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1304]) ).

cnf(c_0_1304_2,axiom,
    ( ~ c_lessequals(X1,X4,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool))
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
    | c_Hoare__Mirabelle_Ohoare__derivs(X4,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1304]) ).

cnf(c_0_1305_0,axiom,
    ( c_HOL_Ominus__class_Ominus(hAPP(X1,v_x),hAPP(X2,v_x),X3) = hAPP(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(t_a,X3)),v_x)
    | ~ class_HOL_Ominus(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1305]) ).

cnf(c_0_1305_1,axiom,
    ( ~ class_HOL_Ominus(X3)
    | c_HOL_Ominus__class_Ominus(hAPP(X1,v_x),hAPP(X2,v_x),X3) = hAPP(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(t_a,X3)),v_x) ),
    inference(literals_permutation,[status(thm)],[c_0_1305]) ).

cnf(c_0_1306_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(hAPP(X1,v_x),hAPP(X2,v_x),X3) = hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(t_a,X3)),v_x)
    | ~ class_Lattices_Olattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1306]) ).

cnf(c_0_1306_1,axiom,
    ( ~ class_Lattices_Olattice(X3)
    | c_Lattices_Oupper__semilattice__class_Osup(hAPP(X1,v_x),hAPP(X2,v_x),X3) = hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(t_a,X3)),v_x) ),
    inference(literals_permutation,[status(thm)],[c_0_1306]) ).

cnf(c_0_1307_0,axiom,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1307]) ).

cnf(c_0_1307_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1307]) ).

cnf(c_0_1307_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1307]) ).

cnf(c_0_1308_0,axiom,
    ( X2 = X1
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OSKIP),X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1308]) ).

cnf(c_0_1308_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OSKIP),X1),X2))
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_1308]) ).

cnf(c_0_1309_0,axiom,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1309]) ).

cnf(c_0_1309_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1309]) ).

cnf(c_0_1309_2,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1309]) ).

cnf(c_0_1310_0,axiom,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1310]) ).

cnf(c_0_1310_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X3),X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1310]) ).

cnf(c_0_1310_2,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1310]) ).

cnf(c_0_1311_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(hAPP(v_f,v_x),hAPP(v_g,v_x),t_b) = hAPP(c_Lattices_Oupper__semilattice__class_Osup(v_f,v_g,tc_fun(t_a,t_b)),v_x)
    | ~ class_Lattices_Olattice(t_b) ),
    inference(literals_permutation,[status(thm)],[c_0_1311]) ).

cnf(c_0_1311_1,axiom,
    ( ~ class_Lattices_Olattice(t_b)
    | c_Lattices_Oupper__semilattice__class_Osup(hAPP(v_f,v_x),hAPP(v_g,v_x),t_b) = hAPP(c_Lattices_Oupper__semilattice__class_Osup(v_f,v_g,tc_fun(t_a,t_b)),v_x) ),
    inference(literals_permutation,[status(thm)],[c_0_1311]) ).

cnf(c_0_1312_0,axiom,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1312]) ).

cnf(c_0_1312_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | X1 = X2
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1312]) ).

cnf(c_0_1312_2,axiom,
    ( ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1312]) ).

cnf(c_0_1313_0,axiom,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1313]) ).

cnf(c_0_1313_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | X1 = X2
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1313]) ).

cnf(c_0_1313_2,axiom,
    ( ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1313]) ).

cnf(c_0_1314_0,axiom,
    ( c_lessequals(hAPP(X1,X5),hAPP(X2,X5),X4)
    | ~ c_lessequals(X1,X2,tc_fun(X3,X4))
    | ~ class_HOL_Oord(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1314]) ).

cnf(c_0_1314_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,X4))
    | c_lessequals(hAPP(X1,X5),hAPP(X2,X5),X4)
    | ~ class_HOL_Oord(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1314]) ).

cnf(c_0_1314_2,axiom,
    ( ~ class_HOL_Oord(X4)
    | ~ c_lessequals(X1,X2,tc_fun(X3,X4))
    | c_lessequals(hAPP(X1,X5),hAPP(X2,X5),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1314]) ).

cnf(c_0_1315_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_Set_Oinsert(X2,X3,X1) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1315]) ).

cnf(c_0_1315_1,axiom,
    ( c_Set_Oinsert(X2,X3,X1) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1315]) ).

cnf(c_0_1316_0,axiom,
    ( c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1316]) ).

cnf(c_0_1316_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1316]) ).

cnf(c_0_1316_2,axiom,
    ( ~ c_lessequals(X4,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1316]) ).

cnf(c_0_1316_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1316]) ).

cnf(c_0_1317_0,axiom,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1317]) ).

cnf(c_0_1317_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1317]) ).

cnf(c_0_1317_2,axiom,
    ( ~ c_lessequals(X2,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1317]) ).

cnf(c_0_1317_3,axiom,
    ( ~ class_Orderings_Opreorder(X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1317]) ).

cnf(c_0_1318_0,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1318]) ).

cnf(c_0_1318_1,axiom,
    ( ~ c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1318]) ).

cnf(c_0_1319_0,axiom,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X4,X2,X3)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X4,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1319]) ).

cnf(c_0_1319_1,axiom,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
    | c_Hoare__Mirabelle_Ohoare__derivs(X4,X2,X3)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X4,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1319]) ).

cnf(c_0_1319_2,axiom,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(X4,X1,X3)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
    | c_Hoare__Mirabelle_Ohoare__derivs(X4,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1319]) ).

cnf(c_0_1320_0,axiom,
    ( c_Set_Oinsert(X2,X3,X1) = X3
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1320]) ).

cnf(c_0_1320_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_Set_Oinsert(X2,X3,X1) = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_1320]) ).

cnf(c_0_1321_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1321]) ).

cnf(c_0_1321_1,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1321]) ).

cnf(c_0_1322_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1322]) ).

cnf(c_0_1322_1,axiom,
    ( ~ class_Lattices_Olattice(X3)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1322]) ).

cnf(c_0_1323_0,axiom,
    ( c_Com_OWT(hAPP(c_Com_Ocom_OBODY,X2))
    | ~ c_Com_OWT(c_Com_Ocom_OCall(X1,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1323]) ).

cnf(c_0_1323_1,axiom,
    ( ~ c_Com_OWT(c_Com_Ocom_OCall(X1,X2,X3))
    | c_Com_OWT(hAPP(c_Com_Ocom_OBODY,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1323]) ).

cnf(c_0_1324_0,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1324]) ).

cnf(c_0_1324_1,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != X2
    | c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1324]) ).

cnf(c_0_1325_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)) = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1325]) ).

cnf(c_0_1325_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1325]) ).

cnf(c_0_1326_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1326]) ).

cnf(c_0_1326_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1326]) ).

cnf(c_0_1327_0,axiom,
    ( hBOOL(hAPP(X2,X4))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1327]) ).

cnf(c_0_1327_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | hBOOL(hAPP(X2,X4))
    | ~ hBOOL(hAPP(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1327]) ).

cnf(c_0_1327_2,axiom,
    ( ~ hBOOL(hAPP(X1,X4))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | hBOOL(hAPP(X2,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1327]) ).

cnf(c_0_1328_0,axiom,
    ( hBOOL(hAPP(X3,X2))
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1328]) ).

cnf(c_0_1328_1,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X3,X2))
    | ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1328]) ).

cnf(c_0_1328_2,axiom,
    ( ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool))
    | ~ hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1328]) ).

cnf(c_0_1329_0,axiom,
    ( hBOOL(hAPP(X3,X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1329]) ).

cnf(c_0_1329_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1329]) ).

cnf(c_0_1330_0,axiom,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X2,X1,X3)
    | ~ c_lessequals(X1,X2,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1330]) ).

cnf(c_0_1330_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool))
    | c_Hoare__Mirabelle_Ohoare__derivs(X2,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1330]) ).

cnf(c_0_1331_0,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X2,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1331]) ).

cnf(c_0_1331_1,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X2,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1331]) ).

cnf(c_0_1332_0,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1332]) ).

cnf(c_0_1332_1,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1332]) ).

cnf(c_0_1333_0,axiom,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1333]) ).

cnf(c_0_1333_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1333]) ).

cnf(c_0_1333_2,axiom,
    ( ~ c_lessequals(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | X1 = X2
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1333]) ).

cnf(c_0_1333_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1333]) ).

cnf(c_0_1334_0,axiom,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1334]) ).

cnf(c_0_1334_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1334]) ).

cnf(c_0_1334_2,axiom,
    ( ~ c_lessequals(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | X1 = X2
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1334]) ).

cnf(c_0_1334_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1334]) ).

cnf(c_0_1335_0,axiom,
    ( X2 = X1
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1335]) ).

cnf(c_0_1335_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | X2 = X1
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1335]) ).

cnf(c_0_1335_2,axiom,
    ( ~ c_lessequals(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | X2 = X1
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1335]) ).

cnf(c_0_1335_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_1335]) ).

cnf(c_0_1336_0,axiom,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X4,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1336]) ).

cnf(c_0_1336_1,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X4,X3)
    | X1 = X2
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1336]) ).

cnf(c_0_1336_2,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X3)
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X4,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1336]) ).

cnf(c_0_1337_0,axiom,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X3,X3,X4) != c_HOL_Ominus__class_Ominus(X1,X2,X4)
    | ~ class_OrderedGroup_Oab__group__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1337]) ).

cnf(c_0_1337_1,axiom,
    ( c_HOL_Ominus__class_Ominus(X3,X3,X4) != c_HOL_Ominus__class_Ominus(X1,X2,X4)
    | X1 = X2
    | ~ class_OrderedGroup_Oab__group__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1337]) ).

cnf(c_0_1337_2,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X4)
    | c_HOL_Ominus__class_Ominus(X3,X3,X4) != c_HOL_Ominus__class_Ominus(X1,X2,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1337]) ).

cnf(c_0_1338_0,axiom,
    ( c_Com_OWT(X3)
    | ~ c_Com_OWT(c_Com_Ocom_OLocal(X1,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1338]) ).

cnf(c_0_1338_1,axiom,
    ( ~ c_Com_OWT(c_Com_Ocom_OLocal(X1,X2,X3))
    | c_Com_OWT(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1338]) ).

cnf(c_0_1339_0,axiom,
    ( c_Com_OWT(X3)
    | ~ c_Com_OWT(c_Com_Ocom_OCond(X1,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1339]) ).

cnf(c_0_1339_1,axiom,
    ( ~ c_Com_OWT(c_Com_Ocom_OCond(X1,X2,X3))
    | c_Com_OWT(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1339]) ).

cnf(c_0_1340_0,axiom,
    ( c_Com_OWT(X2)
    | ~ c_Com_OWT(c_Com_Ocom_OCond(X1,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1340]) ).

cnf(c_0_1340_1,axiom,
    ( ~ c_Com_OWT(c_Com_Ocom_OCond(X1,X2,X3))
    | c_Com_OWT(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1340]) ).

cnf(c_0_1341_0,axiom,
    ( X1 = X2
    | c_Com_Ocom_OCall(X3,X4,X1) != c_Com_Ocom_OCall(X5,X6,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1341]) ).

cnf(c_0_1341_1,axiom,
    ( c_Com_Ocom_OCall(X3,X4,X1) != c_Com_Ocom_OCall(X5,X6,X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1341]) ).

cnf(c_0_1342_0,axiom,
    ( X1 = X2
    | c_Com_Ocom_OCall(X3,X1,X4) != c_Com_Ocom_OCall(X5,X2,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1342]) ).

cnf(c_0_1342_1,axiom,
    ( c_Com_Ocom_OCall(X3,X1,X4) != c_Com_Ocom_OCall(X5,X2,X6)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1342]) ).

cnf(c_0_1343_0,axiom,
    ( X1 = X2
    | c_Com_Ocom_OCall(X1,X3,X4) != c_Com_Ocom_OCall(X2,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1343]) ).

cnf(c_0_1343_1,axiom,
    ( c_Com_Ocom_OCall(X1,X3,X4) != c_Com_Ocom_OCall(X2,X5,X6)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1343]) ).

cnf(c_0_1344_0,axiom,
    ( X1 = X2
    | c_Com_Ocom_OCond(X3,X4,X1) != c_Com_Ocom_OCond(X5,X6,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1344]) ).

cnf(c_0_1344_1,axiom,
    ( c_Com_Ocom_OCond(X3,X4,X1) != c_Com_Ocom_OCond(X5,X6,X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1344]) ).

cnf(c_0_1345_0,axiom,
    ( X1 = X2
    | c_Com_Ocom_OCond(X3,X1,X4) != c_Com_Ocom_OCond(X5,X2,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1345]) ).

cnf(c_0_1345_1,axiom,
    ( c_Com_Ocom_OCond(X3,X1,X4) != c_Com_Ocom_OCond(X5,X2,X6)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1345]) ).

cnf(c_0_1346_0,axiom,
    ( X1 = X2
    | c_Com_Ocom_OCond(X1,X3,X4) != c_Com_Ocom_OCond(X2,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1346]) ).

cnf(c_0_1346_1,axiom,
    ( c_Com_Ocom_OCond(X1,X3,X4) != c_Com_Ocom_OCond(X2,X5,X6)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1346]) ).

cnf(c_0_1347_0,axiom,
    ( X1 = X2
    | c_Com_Ocom_OLocal(X3,X4,X1) != c_Com_Ocom_OLocal(X5,X6,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1347]) ).

cnf(c_0_1347_1,axiom,
    ( c_Com_Ocom_OLocal(X3,X4,X1) != c_Com_Ocom_OLocal(X5,X6,X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1347]) ).

cnf(c_0_1348_0,axiom,
    ( X1 = X2
    | c_Com_Ocom_OLocal(X3,X1,X4) != c_Com_Ocom_OLocal(X5,X2,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1348]) ).

cnf(c_0_1348_1,axiom,
    ( c_Com_Ocom_OLocal(X3,X1,X4) != c_Com_Ocom_OLocal(X5,X2,X6)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1348]) ).

cnf(c_0_1349_0,axiom,
    ( X1 = X2
    | c_Com_Ocom_OLocal(X1,X3,X4) != c_Com_Ocom_OLocal(X2,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1349]) ).

cnf(c_0_1349_1,axiom,
    ( c_Com_Ocom_OLocal(X1,X3,X4) != c_Com_Ocom_OLocal(X2,X5,X6)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1349]) ).

cnf(c_0_1350_0,axiom,
    ( X2 = X3
    | ~ hBOOL(hAPP(hAPP(c_fequal(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1350]) ).

cnf(c_0_1350_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_fequal(X1),X2),X3))
    | X2 = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_1350]) ).

cnf(c_0_1351_0,axiom,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1351]) ).

cnf(c_0_1351_1,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1351]) ).

cnf(c_0_1352_0,axiom,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1352]) ).

cnf(c_0_1352_1,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1352]) ).

cnf(c_0_1353_0,axiom,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1353]) ).

cnf(c_0_1353_1,axiom,
    ( ~ class_Lattices_Olattice(X3)
    | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1353]) ).

cnf(c_0_1354_0,axiom,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1354]) ).

cnf(c_0_1354_1,axiom,
    ( ~ class_Lattices_Olattice(X3)
    | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1354]) ).

cnf(c_0_1355_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X3),X2),X1))
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1355]) ).

cnf(c_0_1355_1,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(hAPP(c_in(X3),X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1355]) ).

cnf(c_0_1356_0,axiom,
    ( c_Com_OWT(c_Com_Ocom_OCall(X2,X1,X3))
    | ~ c_Com_OWT(hAPP(c_Com_Ocom_OBODY,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1356]) ).

cnf(c_0_1356_1,axiom,
    ( ~ c_Com_OWT(hAPP(c_Com_Ocom_OBODY,X1))
    | c_Com_OWT(c_Com_Ocom_OCall(X2,X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1356]) ).

cnf(c_0_1357_0,axiom,
    ( c_Hoare__Mirabelle_Otriple__valid(X1,X2,X3)
    | ~ c_Hoare__Mirabelle_Otriple__valid(c_Suc(X1),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1357]) ).

cnf(c_0_1357_1,axiom,
    ( ~ c_Hoare__Mirabelle_Otriple__valid(c_Suc(X1),X2,X3)
    | c_Hoare__Mirabelle_Otriple__valid(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1357]) ).

cnf(c_0_1358_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) != X2
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1358]) ).

cnf(c_0_1358_1,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) != X2
    | c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1358]) ).

cnf(c_0_1358_2,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) != X2
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1358]) ).

cnf(c_0_1359_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1359]) ).

cnf(c_0_1359_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = X2
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1359]) ).

cnf(c_0_1359_2,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1359]) ).

cnf(c_0_1360_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3) = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1360]) ).

cnf(c_0_1360_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3) = X2
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1360]) ).

cnf(c_0_1360_2,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1360]) ).

cnf(c_0_1361_0,axiom,
    ( c_Hoare__Mirabelle_Ohoare__valids(X1,X2,X3)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1361]) ).

cnf(c_0_1361_1,axiom,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
    | c_Hoare__Mirabelle_Ohoare__valids(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1361]) ).

cnf(c_0_1362_0,axiom,
    ( c_Com_OWT(c_Com_Ocom_OCond(X3,X1,X2))
    | ~ c_Com_OWT(X1)
    | ~ c_Com_OWT(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1362]) ).

cnf(c_0_1362_1,axiom,
    ( ~ c_Com_OWT(X1)
    | c_Com_OWT(c_Com_Ocom_OCond(X3,X1,X2))
    | ~ c_Com_OWT(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1362]) ).

cnf(c_0_1362_2,axiom,
    ( ~ c_Com_OWT(X2)
    | ~ c_Com_OWT(X1)
    | c_Com_OWT(c_Com_Ocom_OCond(X3,X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1362]) ).

cnf(c_0_1363_0,axiom,
    ( c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1363]) ).

cnf(c_0_1363_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1363]) ).

cnf(c_0_1363_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X2) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1363]) ).

cnf(c_0_1364_0,axiom,
    ( c_Com_OWT(c_Com_Ocom_OLocal(X2,X3,X1))
    | ~ c_Com_OWT(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1364]) ).

cnf(c_0_1364_1,axiom,
    ( ~ c_Com_OWT(X1)
    | c_Com_OWT(c_Com_Ocom_OLocal(X2,X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1364]) ).

cnf(c_0_1365_0,axiom,
    ( c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X1) = X2
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1365]) ).

cnf(c_0_1365_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X1) = X2
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1365]) ).

cnf(c_0_1365_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X1) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1365]) ).

cnf(c_0_1366_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1366]) ).

cnf(c_0_1366_1,axiom,
    ( c_lessequals(X2,X1,X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1366]) ).

cnf(c_0_1366_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | c_lessequals(X2,X1,X3)
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1366]) ).

cnf(c_0_1367_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1367]) ).

cnf(c_0_1367_1,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1367]) ).

cnf(c_0_1368_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1368]) ).

cnf(c_0_1368_1,axiom,
    ( ~ class_Lattices_Olattice(X3)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1368]) ).

cnf(c_0_1369_0,axiom,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_Int_Onumber__ring(X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1369]) ).

cnf(c_0_1369_1,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | X1 = X2
    | ~ class_Int_Onumber__ring(X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1369]) ).

cnf(c_0_1369_2,axiom,
    ( ~ class_Int_Onumber__ring(X3)
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | X1 = X2
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1369]) ).

cnf(c_0_1369_3,axiom,
    ( ~ class_Ring__and__Field_Oidom(X3)
    | ~ class_Int_Onumber__ring(X3)
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1369]) ).

cnf(c_0_1370_0,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2) != c_Orderings_Obot__class_Obot(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1370]) ).

cnf(c_0_1370_1,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2) != c_Orderings_Obot__class_Obot(X2)
    | X1 = c_Orderings_Obot__class_Obot(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1370]) ).

cnf(c_0_1370_2,axiom,
    ( ~ class_Lattices_Obounded__lattice(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2) != c_Orderings_Obot__class_Obot(X2)
    | X1 = c_Orderings_Obot__class_Obot(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1370]) ).

cnf(c_0_1371_0,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X3,X1,X2) != c_Orderings_Obot__class_Obot(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1371]) ).

cnf(c_0_1371_1,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X3,X1,X2) != c_Orderings_Obot__class_Obot(X2)
    | X1 = c_Orderings_Obot__class_Obot(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1371]) ).

cnf(c_0_1371_2,axiom,
    ( ~ class_Lattices_Obounded__lattice(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X3,X1,X2) != c_Orderings_Obot__class_Obot(X2)
    | X1 = c_Orderings_Obot__class_Obot(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1371]) ).

cnf(c_0_1372_0,axiom,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1372]) ).

cnf(c_0_1372_1,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | X1 = X2
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1372]) ).

cnf(c_0_1372_2,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X3)
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1372]) ).

cnf(c_0_1373_0,axiom,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1373]) ).

cnf(c_0_1373_1,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | X1 = X2
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1373]) ).

cnf(c_0_1373_2,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X3)
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1373]) ).

cnf(c_0_1374_0,axiom,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1374]) ).

cnf(c_0_1374_1,axiom,
    ( c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1374]) ).

cnf(c_0_1374_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1374]) ).

cnf(c_0_1375_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1375]) ).

cnf(c_0_1375_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1375]) ).

cnf(c_0_1376_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X1) != X2
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1376]) ).

cnf(c_0_1376_1,axiom,
    ( c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X1) != X2
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1376]) ).

cnf(c_0_1376_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X1) != X2
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1376]) ).

cnf(c_0_1377_0,axiom,
    ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X1)),v_x) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Orderings_Obot(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1377]) ).

cnf(c_0_1377_1,axiom,
    ( ~ class_Orderings_Obot(X1)
    | hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X1)),v_x) = c_Orderings_Obot__class_Obot(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1377]) ).

cnf(c_0_1378_0,axiom,
    ( hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,X1)),v_x) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Orderings_Otop(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1378]) ).

cnf(c_0_1378_1,axiom,
    ( ~ class_Orderings_Otop(X1)
    | hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,X1)),v_x) = c_Orderings_Otop__class_Otop(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1378]) ).

cnf(c_0_1379_0,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1379]) ).

cnf(c_0_1379_1,axiom,
    ( ~ class_Int_Onumber__ring(X2)
    | c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1379]) ).

cnf(c_0_1379_2,axiom,
    ( ~ class_Ring__and__Field_Oidom(X2)
    | ~ class_Int_Onumber__ring(X2)
    | c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1379]) ).

cnf(c_0_1380_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(X1),X2,X1) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Lattices_Obounded__lattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1380]) ).

cnf(c_0_1380_1,axiom,
    ( ~ class_Lattices_Obounded__lattice(X1)
    | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(X1),X2,X1) = c_Orderings_Otop__class_Otop(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1380]) ).

cnf(c_0_1381_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Otop__class_Otop(X2),X2) = c_Orderings_Otop__class_Otop(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1381]) ).

cnf(c_0_1381_1,axiom,
    ( ~ class_Lattices_Obounded__lattice(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Otop__class_Otop(X2),X2) = c_Orderings_Otop__class_Otop(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1381]) ).

cnf(c_0_1382_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(v_x,c_HOL_Ozero__class_Ozero(t_a),t_a) = c_OrderedGroup_Olordered__ab__group__add__class_Opprt(v_x,t_a)
    | ~ class_OrderedGroup_Olordered__ab__group__add(t_a) ),
    inference(literals_permutation,[status(thm)],[c_0_1382]) ).

cnf(c_0_1382_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(t_a)
    | c_Lattices_Oupper__semilattice__class_Osup(v_x,c_HOL_Ozero__class_Ozero(t_a),t_a) = c_OrderedGroup_Olordered__ab__group__add__class_Opprt(v_x,t_a) ),
    inference(literals_permutation,[status(thm)],[c_0_1382]) ).

cnf(c_0_1383_0,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1383]) ).

cnf(c_0_1383_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X2)
    | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_1383]) ).

cnf(c_0_1384_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X1),X2,X1) = X2
    | ~ class_Lattices_Obounded__lattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1384]) ).

cnf(c_0_1384_1,axiom,
    ( ~ class_Lattices_Obounded__lattice(X1)
    | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X1),X2,X1) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1384]) ).

cnf(c_0_1385_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(X2),X2) = X1
    | ~ class_Lattices_Obounded__lattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1385]) ).

cnf(c_0_1385_1,axiom,
    ( ~ class_Lattices_Obounded__lattice(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_1385]) ).

cnf(c_0_1386_0,axiom,
    ( c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)
    | ~ class_Orderings_Obot(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1386]) ).

cnf(c_0_1386_1,axiom,
    ( ~ class_Orderings_Obot(X1)
    | c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1386]) ).

cnf(c_0_1387_0,axiom,
    ( c_lessequals(X1,c_Orderings_Otop__class_Otop(X2),X2)
    | ~ class_Orderings_Otop(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1387]) ).

cnf(c_0_1387_1,axiom,
    ( ~ class_Orderings_Otop(X2)
    | c_lessequals(X1,c_Orderings_Otop__class_Otop(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1387]) ).

cnf(c_0_1388_0,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1388]) ).

cnf(c_0_1388_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X2)
    | c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1388]) ).

cnf(c_0_1389_0,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1389]) ).

cnf(c_0_1389_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X2)
    | c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1389]) ).

cnf(c_0_1390_0,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1390]) ).

cnf(c_0_1390_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X2)
    | c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1390]) ).

cnf(c_0_1391_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X1,X2) = X1
    | ~ class_Lattices_Oupper__semilattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1391]) ).

cnf(c_0_1391_1,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X1,X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_1391]) ).

cnf(c_0_1392_0,axiom,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1392]) ).

cnf(c_0_1392_1,axiom,
    ( ~ class_Orderings_Oorder(X2)
    | c_lessequals(X1,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1392]) ).

cnf(c_0_1393_0,axiom,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Opreorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1393]) ).

cnf(c_0_1393_1,axiom,
    ( ~ class_Orderings_Opreorder(X2)
    | c_lessequals(X1,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1393]) ).

cnf(c_0_1394_0,axiom,
    ( c_Com_OWT(X2)
    | ~ c_Com_OWT(c_Com_Ocom_OWhile(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1394]) ).

cnf(c_0_1394_1,axiom,
    ( ~ c_Com_OWT(c_Com_Ocom_OWhile(X1,X2))
    | c_Com_OWT(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1394]) ).

cnf(c_0_1395_0,axiom,
    ( c_Com_OWT(X2)
    | ~ c_Com_OWT(c_Com_Ocom_OSemi(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1395]) ).

cnf(c_0_1395_1,axiom,
    ( ~ c_Com_OWT(c_Com_Ocom_OSemi(X1,X2))
    | c_Com_OWT(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1395]) ).

cnf(c_0_1396_0,axiom,
    ( c_Com_OWT(X1)
    | ~ c_Com_OWT(c_Com_Ocom_OSemi(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1396]) ).

cnf(c_0_1396_1,axiom,
    ( ~ c_Com_OWT(c_Com_Ocom_OSemi(X1,X2))
    | c_Com_OWT(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1396]) ).

cnf(c_0_1397_0,axiom,
    ( X1 = X2
    | c_Com_Ocom_OSemi(X3,X1) != c_Com_Ocom_OSemi(X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1397]) ).

cnf(c_0_1397_1,axiom,
    ( c_Com_Ocom_OSemi(X3,X1) != c_Com_Ocom_OSemi(X4,X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1397]) ).

cnf(c_0_1398_0,axiom,
    ( X1 = X2
    | c_Com_Ocom_OSemi(X1,X3) != c_Com_Ocom_OSemi(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1398]) ).

cnf(c_0_1398_1,axiom,
    ( c_Com_Ocom_OSemi(X1,X3) != c_Com_Ocom_OSemi(X2,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1398]) ).

cnf(c_0_1399_0,axiom,
    ( X1 = X2
    | c_Option_Ooption_OSome(X1,X3) != c_Option_Ooption_OSome(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1399]) ).

cnf(c_0_1399_1,axiom,
    ( c_Option_Ooption_OSome(X1,X3) != c_Option_Ooption_OSome(X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1399]) ).

cnf(c_0_1400_0,axiom,
    ( X1 = X2
    | c_Com_Ocom_OWhile(X1,X3) != c_Com_Ocom_OWhile(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1400]) ).

cnf(c_0_1400_1,axiom,
    ( c_Com_Ocom_OWhile(X1,X3) != c_Com_Ocom_OWhile(X2,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1400]) ).

cnf(c_0_1401_0,axiom,
    ( X1 = X2
    | c_Com_Ocom_OWhile(X3,X1) != c_Com_Ocom_OWhile(X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1401]) ).

cnf(c_0_1401_1,axiom,
    ( c_Com_Ocom_OWhile(X3,X1) != c_Com_Ocom_OWhile(X4,X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1401]) ).

cnf(c_0_1402_0,axiom,
    ( X1 = X2
    | c_Com_Ocom_OAss(X3,X1) != c_Com_Ocom_OAss(X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1402]) ).

cnf(c_0_1402_1,axiom,
    ( c_Com_Ocom_OAss(X3,X1) != c_Com_Ocom_OAss(X4,X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1402]) ).

cnf(c_0_1403_0,axiom,
    ( X1 = X2
    | c_Com_Ocom_OAss(X1,X3) != c_Com_Ocom_OAss(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1403]) ).

cnf(c_0_1403_1,axiom,
    ( c_Com_Ocom_OAss(X1,X3) != c_Com_Ocom_OAss(X2,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1403]) ).

cnf(c_0_1404_0,axiom,
    ( c_Com_OWT(c_Com_Ocom_OSemi(X1,X2))
    | ~ c_Com_OWT(X1)
    | ~ c_Com_OWT(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1404]) ).

cnf(c_0_1404_1,axiom,
    ( ~ c_Com_OWT(X1)
    | c_Com_OWT(c_Com_Ocom_OSemi(X1,X2))
    | ~ c_Com_OWT(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1404]) ).

cnf(c_0_1404_2,axiom,
    ( ~ c_Com_OWT(X2)
    | ~ c_Com_OWT(X1)
    | c_Com_OWT(c_Com_Ocom_OSemi(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1404]) ).

cnf(c_0_1405_0,axiom,
    ( hAPP(c_Com_Obody,X1) = c_Option_Ooption_ONone(tc_Com_Ocom)
    | c_Com_OWT(hAPP(c_Com_Ocom_OBODY,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1405]) ).

cnf(c_0_1405_1,axiom,
    ( c_Com_OWT(hAPP(c_Com_Ocom_OBODY,X1))
    | hAPP(c_Com_Obody,X1) = c_Option_Ooption_ONone(tc_Com_Ocom) ),
    inference(literals_permutation,[status(thm)],[c_0_1405]) ).

cnf(c_0_1406_0,axiom,
    ( X1 = X2
    | hAPP(c_Com_Ocom_OBODY,X1) != hAPP(c_Com_Ocom_OBODY,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1406]) ).

cnf(c_0_1406_1,axiom,
    ( hAPP(c_Com_Ocom_OBODY,X1) != hAPP(c_Com_Ocom_OBODY,X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1406]) ).

cnf(c_0_1407_0,axiom,
    ( c_Com_OWT(c_Com_Ocom_OWhile(X2,X1))
    | ~ c_Com_OWT(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1407]) ).

cnf(c_0_1407_1,axiom,
    ( ~ c_Com_OWT(X1)
    | c_Com_OWT(c_Com_Ocom_OWhile(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1407]) ).

cnf(c_0_1408_0,axiom,
    ( class_Lattices_Oupper__semilattice(tc_fun(X2,X1))
    | ~ class_Lattices_Olattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1408]) ).

cnf(c_0_1408_1,axiom,
    ( ~ class_Lattices_Olattice(X1)
    | class_Lattices_Oupper__semilattice(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1408]) ).

cnf(c_0_1409_0,axiom,
    ( class_Lattices_Obounded__lattice(tc_fun(X2,X1))
    | ~ class_Lattices_Obounded__lattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1409]) ).

cnf(c_0_1409_1,axiom,
    ( ~ class_Lattices_Obounded__lattice(X1)
    | class_Lattices_Obounded__lattice(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1409]) ).

cnf(c_0_1410_0,axiom,
    ( class_Orderings_Opreorder(tc_fun(X2,X1))
    | ~ class_Orderings_Opreorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1410]) ).

cnf(c_0_1410_1,axiom,
    ( ~ class_Orderings_Opreorder(X1)
    | class_Orderings_Opreorder(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1410]) ).

cnf(c_0_1411_0,axiom,
    ( class_Lattices_Olattice(tc_fun(X2,X1))
    | ~ class_Lattices_Olattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1411]) ).

cnf(c_0_1411_1,axiom,
    ( ~ class_Lattices_Olattice(X1)
    | class_Lattices_Olattice(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1411]) ).

cnf(c_0_1412_0,axiom,
    ( class_Orderings_Oorder(tc_fun(X2,X1))
    | ~ class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1412]) ).

cnf(c_0_1412_1,axiom,
    ( ~ class_Orderings_Oorder(X1)
    | class_Orderings_Oorder(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1412]) ).

cnf(c_0_1413_0,axiom,
    ( class_Orderings_Otop(tc_fun(X2,X1))
    | ~ class_Orderings_Otop(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1413]) ).

cnf(c_0_1413_1,axiom,
    ( ~ class_Orderings_Otop(X1)
    | class_Orderings_Otop(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1413]) ).

cnf(c_0_1414_0,axiom,
    ( class_Orderings_Obot(tc_fun(X2,X1))
    | ~ class_Orderings_Obot(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1414]) ).

cnf(c_0_1414_1,axiom,
    ( ~ class_Orderings_Obot(X1)
    | class_Orderings_Obot(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1414]) ).

cnf(c_0_1415_0,axiom,
    ( class_HOL_Ominus(tc_fun(X2,X1))
    | ~ class_HOL_Ominus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1415]) ).

cnf(c_0_1415_1,axiom,
    ( ~ class_HOL_Ominus(X1)
    | class_HOL_Ominus(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1415]) ).

cnf(c_0_1416_0,axiom,
    ( class_HOL_Oord(tc_fun(X2,X1))
    | ~ class_HOL_Oord(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1416]) ).

cnf(c_0_1416_1,axiom,
    ( ~ class_HOL_Oord(X1)
    | class_HOL_Oord(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1416]) ).

cnf(c_0_1417_0,axiom,
    ( c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1417]) ).

cnf(c_0_1417_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1417]) ).

cnf(c_0_1418_0,axiom,
    ( X1 = X2
    | c_Suc(X1) != c_Suc(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1418]) ).

cnf(c_0_1418_1,axiom,
    ( c_Suc(X1) != c_Suc(X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1418]) ).

cnf(c_0_1419_0,axiom,
    ( X1 = X2
    | c_Suc(X1) != c_Suc(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1419]) ).

cnf(c_0_1419_1,axiom,
    ( c_Suc(X1) != c_Suc(X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1419]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_1031,negated_conjecture,
    c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(v_G,c_Set_Oimage(c_COMBS(c_COMBB(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal(tc_Com_Ostate)),c_Com_Ocom_OBODY,tc_Com_Ocom,tc_fun(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Opname),c_COMBB(c_Natural_Oevalc,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Com_Opname),tc_Com_Opname,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),v_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_COMBS(c_COMBB(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal(tc_Com_Ostate)),c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_fun(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Opname),c_COMBB(c_Natural_Oevalc,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Com_Opname),tc_Com_Opname,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),v_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate),
    file('<stdin>',cls_conjecture_0) ).

fof(c_0_1_1032,negated_conjecture,
    hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_x),v_xa)),
    file('<stdin>',cls_conjecture_1) ).

fof(c_0_2_1033,negated_conjecture,
    ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,v_pn)),v_x),v_xa)),
    file('<stdin>',cls_conjecture_2) ).

fof(c_0_3_1034,negated_conjecture,
    c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(v_G,c_Set_Oimage(c_COMBS(c_COMBB(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal(tc_Com_Ostate)),c_Com_Ocom_OBODY,tc_Com_Ocom,tc_fun(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Opname),c_COMBB(c_Natural_Oevalc,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Com_Opname),tc_Com_Opname,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),v_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_COMBS(c_COMBB(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal(tc_Com_Ostate)),c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_fun(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Opname),c_COMBB(c_Natural_Oevalc,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Com_Opname),tc_Com_Opname,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),v_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate),
    c_0_0 ).

fof(c_0_4_1035,negated_conjecture,
    hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_x),v_xa)),
    c_0_1 ).

fof(c_0_5_1036,negated_conjecture,
    ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,v_pn)),v_x),v_xa)),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_6_1037,negated_conjecture,
    c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(v_G,c_Set_Oimage(c_COMBS(c_COMBB(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal(tc_Com_Ostate)),c_Com_Ocom_OBODY,tc_Com_Ocom,tc_fun(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Opname),c_COMBB(c_Natural_Oevalc,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Com_Opname),tc_Com_Opname,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),v_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_COMBS(c_COMBB(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal(tc_Com_Ostate)),c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_fun(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Opname),c_COMBB(c_Natural_Oevalc,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Com_Opname),tc_Com_Opname,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),v_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate),
    c_0_3 ).

fof(c_0_7_1038,negated_conjecture,
    hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_x),v_xa)),
    c_0_4 ).

fof(c_0_8_1039,negated_conjecture,
    ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,v_pn)),v_x),v_xa)),
    c_0_5 ).

cnf(c_0_9_1040,negated_conjecture,
    c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(v_G,c_Set_Oimage(c_COMBS(c_COMBB(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal(tc_Com_Ostate)),c_Com_Ocom_OBODY,tc_Com_Ocom,tc_fun(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Opname),c_COMBB(c_Natural_Oevalc,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Com_Opname),tc_Com_Opname,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),v_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_COMBS(c_COMBB(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal(tc_Com_Ostate)),c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_fun(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Opname),c_COMBB(c_Natural_Oevalc,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Com_Opname),tc_Com_Opname,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),v_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10_1041,negated_conjecture,
    hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_x),v_xa)),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11_1042,negated_conjecture,
    ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,v_pn)),v_x),v_xa)),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_12_1043,negated_conjecture,
    c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(v_G,c_Set_Oimage(c_COMBS(c_COMBB(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal(tc_Com_Ostate)),c_Com_Ocom_OBODY,tc_Com_Ocom,tc_fun(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Opname),c_COMBB(c_Natural_Oevalc,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Com_Opname),tc_Com_Opname,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),v_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_COMBS(c_COMBB(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal(tc_Com_Ostate)),c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_fun(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Opname),c_COMBB(c_Natural_Oevalc,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Com_Opname),tc_Com_Opname,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),v_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate),
    c_0_9,
    [final] ).

cnf(c_0_13_1044,negated_conjecture,
    hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_x),v_xa)),
    c_0_10,
    [final] ).

cnf(c_0_14_1045,negated_conjecture,
    ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,v_pn)),v_x),v_xa)),
    c_0_11,
    [final] ).

% End CNF derivation

%-------------------------------------------------------------
% Proof by iprover

cnf(c_912,negated_conjecture,
    ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,v_pn)),v_x),v_xa)),
    file('/export/starexec/sandbox/tmp/iprover_modulo_bfe6f8.p',c_0_14) ).

cnf(c_1271,negated_conjecture,
    ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,v_pn)),v_x),v_xa)),
    inference(copy,[status(esa)],[c_912]) ).

cnf(c_1283,negated_conjecture,
    ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,v_pn)),v_x),v_xa)),
    inference(copy,[status(esa)],[c_1271]) ).

cnf(c_1288,negated_conjecture,
    ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,v_pn)),v_x),v_xa)),
    inference(copy,[status(esa)],[c_1283]) ).

cnf(c_1289,negated_conjecture,
    ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,v_pn)),v_x),v_xa)),
    inference(copy,[status(esa)],[c_1288]) ).

cnf(c_3949,negated_conjecture,
    ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,v_pn)),v_x),v_xa)),
    inference(copy,[status(esa)],[c_1289]) ).

cnf(c_83,plain,
    ( ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X0))),X1),X2))
    | hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,X0)),X1),X2)) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_bfe6f8.p',c_0_1170_0) ).

cnf(c_2373,plain,
    ( ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X0))),X1),X2))
    | hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,X0)),X1),X2)) ),
    inference(copy,[status(esa)],[c_83]) ).

cnf(c_2374,plain,
    ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,X0)),X1),X2))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X0))),X1),X2)) ),
    inference(rewriting,[status(thm)],[c_2373]) ).

cnf(c_3971,plain,
    ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_x),v_xa)),
    inference(resolution,[status(thm)],[c_3949,c_2374]) ).

cnf(c_3972,plain,
    ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_x),v_xa)),
    inference(rewriting,[status(thm)],[c_3971]) ).

cnf(c_914,negated_conjecture,
    hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_x),v_xa)),
    file('/export/starexec/sandbox/tmp/iprover_modulo_bfe6f8.p',c_0_13) ).

cnf(c_1275,negated_conjecture,
    hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_x),v_xa)),
    inference(copy,[status(esa)],[c_914]) ).

cnf(c_1285,negated_conjecture,
    hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_x),v_xa)),
    inference(copy,[status(esa)],[c_1275]) ).

cnf(c_1286,negated_conjecture,
    hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_x),v_xa)),
    inference(copy,[status(esa)],[c_1285]) ).

cnf(c_1291,negated_conjecture,
    hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_x),v_xa)),
    inference(copy,[status(esa)],[c_1286]) ).

cnf(c_3953,negated_conjecture,
    hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_x),v_xa)),
    inference(copy,[status(esa)],[c_1291]) ).

cnf(c_4010,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_3972,c_3953]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWV897-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13  % Command  : iprover_modulo %s %d
% 0.12/0.34  % Computer : n025.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Wed Jun 15 12:18:55 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  % Running in mono-core mode
% 0.20/0.49  % Orienting using strategy Equiv(ClausalAll)
% 0.20/0.49  % Orientation found
% 0.20/0.49  % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format  " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_6ee262.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_bfe6f8.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_41ec7b | grep -v "SZS"
% 0.20/0.51  
% 0.20/0.51  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.51  
% 0.20/0.51  % 
% 0.20/0.51  % ------  iProver source info 
% 0.20/0.51  
% 0.20/0.51  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.51  % git: non_committed_changes: true
% 0.20/0.51  % git: last_make_outside_of_git: true
% 0.20/0.51  
% 0.20/0.51  % 
% 0.20/0.51  % ------ Input Options
% 0.20/0.51  
% 0.20/0.51  % --out_options                         all
% 0.20/0.51  % --tptp_safe_out                       true
% 0.20/0.51  % --problem_path                        ""
% 0.20/0.51  % --include_path                        ""
% 0.20/0.51  % --clausifier                          .//eprover
% 0.20/0.51  % --clausifier_options                  --tstp-format  
% 0.20/0.51  % --stdin                               false
% 0.20/0.51  % --dbg_backtrace                       false
% 0.20/0.51  % --dbg_dump_prop_clauses               false
% 0.20/0.51  % --dbg_dump_prop_clauses_file          -
% 0.20/0.51  % --dbg_out_stat                        false
% 0.20/0.51  
% 0.20/0.51  % ------ General Options
% 0.20/0.51  
% 0.20/0.51  % --fof                                 false
% 0.20/0.51  % --time_out_real                       150.
% 0.20/0.51  % --time_out_prep_mult                  0.2
% 0.20/0.51  % --time_out_virtual                    -1.
% 0.20/0.51  % --schedule                            none
% 0.20/0.51  % --ground_splitting                    input
% 0.20/0.51  % --splitting_nvd                       16
% 0.20/0.51  % --non_eq_to_eq                        false
% 0.20/0.51  % --prep_gs_sim                         true
% 0.20/0.51  % --prep_unflatten                      false
% 0.20/0.51  % --prep_res_sim                        true
% 0.20/0.51  % --prep_upred                          true
% 0.20/0.51  % --res_sim_input                       true
% 0.20/0.51  % --clause_weak_htbl                    true
% 0.20/0.51  % --gc_record_bc_elim                   false
% 0.20/0.51  % --symbol_type_check                   false
% 0.20/0.51  % --clausify_out                        false
% 0.20/0.51  % --large_theory_mode                   false
% 0.20/0.51  % --prep_sem_filter                     none
% 0.20/0.51  % --prep_sem_filter_out                 false
% 0.20/0.51  % --preprocessed_out                    false
% 0.20/0.51  % --sub_typing                          false
% 0.20/0.51  % --brand_transform                     false
% 0.20/0.51  % --pure_diseq_elim                     true
% 0.20/0.51  % --min_unsat_core                      false
% 0.20/0.51  % --pred_elim                           true
% 0.20/0.51  % --add_important_lit                   false
% 0.20/0.51  % --soft_assumptions                    false
% 0.20/0.51  % --reset_solvers                       false
% 0.20/0.51  % --bc_imp_inh                          []
% 0.20/0.51  % --conj_cone_tolerance                 1.5
% 0.20/0.51  % --prolific_symb_bound                 500
% 0.20/0.51  % --lt_threshold                        2000
% 0.20/0.51  
% 0.20/0.51  % ------ SAT Options
% 0.20/0.51  
% 0.20/0.51  % --sat_mode                            false
% 0.20/0.51  % --sat_fm_restart_options              ""
% 0.20/0.51  % --sat_gr_def                          false
% 0.20/0.51  % --sat_epr_types                       true
% 0.20/0.51  % --sat_non_cyclic_types                false
% 0.20/0.51  % --sat_finite_models                   false
% 0.20/0.51  % --sat_fm_lemmas                       false
% 0.20/0.51  % --sat_fm_prep                         false
% 0.20/0.51  % --sat_fm_uc_incr                      true
% 0.20/0.51  % --sat_out_model                       small
% 0.20/0.51  % --sat_out_clauses                     false
% 0.20/0.51  
% 0.20/0.51  % ------ QBF Options
% 0.20/0.51  
% 0.20/0.51  % --qbf_mode                            false
% 0.20/0.51  % --qbf_elim_univ                       true
% 0.20/0.51  % --qbf_sk_in                           true
% 0.20/0.51  % --qbf_pred_elim                       true
% 0.20/0.51  % --qbf_split                           32
% 0.20/0.51  
% 0.20/0.51  % ------ BMC1 Options
% 0.20/0.51  
% 0.20/0.51  % --bmc1_incremental                    false
% 0.20/0.51  % --bmc1_axioms                         reachable_all
% 0.20/0.51  % --bmc1_min_bound                      0
% 0.20/0.51  % --bmc1_max_bound                      -1
% 0.20/0.51  % --bmc1_max_bound_default              -1
% 0.20/0.51  % --bmc1_symbol_reachability            true
% 0.20/0.51  % --bmc1_property_lemmas                false
% 0.20/0.51  % --bmc1_k_induction                    false
% 0.20/0.51  % --bmc1_non_equiv_states               false
% 0.20/0.51  % --bmc1_deadlock                       false
% 0.20/0.51  % --bmc1_ucm                            false
% 0.20/0.51  % --bmc1_add_unsat_core                 none
% 0.20/0.51  % --bmc1_unsat_core_children            false
% 0.20/0.51  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.20/0.51  % --bmc1_out_stat                       full
% 0.20/0.51  % --bmc1_ground_init                    false
% 0.20/0.51  % --bmc1_pre_inst_next_state            false
% 0.20/0.51  % --bmc1_pre_inst_state                 false
% 0.20/0.51  % --bmc1_pre_inst_reach_state           false
% 0.20/0.51  % --bmc1_out_unsat_core                 false
% 0.20/0.51  % --bmc1_aig_witness_out                false
% 0.20/0.51  % --bmc1_verbose                        false
% 0.20/0.51  % --bmc1_dump_clauses_tptp              false
% 7.18/7.47  % --bmc1_dump_unsat_core_tptp           false
% 7.18/7.47  % --bmc1_dump_file                      -
% 7.18/7.47  % --bmc1_ucm_expand_uc_limit            128
% 7.18/7.47  % --bmc1_ucm_n_expand_iterations        6
% 7.18/7.47  % --bmc1_ucm_extend_mode                1
% 7.18/7.47  % --bmc1_ucm_init_mode                  2
% 7.18/7.47  % --bmc1_ucm_cone_mode                  none
% 7.18/7.47  % --bmc1_ucm_reduced_relation_type      0
% 7.18/7.47  % --bmc1_ucm_relax_model                4
% 7.18/7.47  % --bmc1_ucm_full_tr_after_sat          true
% 7.18/7.47  % --bmc1_ucm_expand_neg_assumptions     false
% 7.18/7.47  % --bmc1_ucm_layered_model              none
% 7.18/7.47  % --bmc1_ucm_max_lemma_size             10
% 7.18/7.47  
% 7.18/7.47  % ------ AIG Options
% 7.18/7.47  
% 7.18/7.47  % --aig_mode                            false
% 7.18/7.47  
% 7.18/7.47  % ------ Instantiation Options
% 7.18/7.47  
% 7.18/7.47  % --instantiation_flag                  true
% 7.18/7.47  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 7.18/7.47  % --inst_solver_per_active              750
% 7.18/7.47  % --inst_solver_calls_frac              0.5
% 7.18/7.47  % --inst_passive_queue_type             priority_queues
% 7.18/7.47  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 7.18/7.47  % --inst_passive_queues_freq            [25;2]
% 7.18/7.47  % --inst_dismatching                    true
% 7.18/7.47  % --inst_eager_unprocessed_to_passive   true
% 7.18/7.47  % --inst_prop_sim_given                 true
% 7.18/7.47  % --inst_prop_sim_new                   false
% 7.18/7.47  % --inst_orphan_elimination             true
% 7.18/7.47  % --inst_learning_loop_flag             true
% 7.18/7.47  % --inst_learning_start                 3000
% 7.18/7.47  % --inst_learning_factor                2
% 7.18/7.47  % --inst_start_prop_sim_after_learn     3
% 7.18/7.47  % --inst_sel_renew                      solver
% 7.18/7.47  % --inst_lit_activity_flag              true
% 7.18/7.47  % --inst_out_proof                      true
% 7.18/7.47  
% 7.18/7.47  % ------ Resolution Options
% 7.18/7.47  
% 7.18/7.47  % --resolution_flag                     true
% 7.18/7.47  % --res_lit_sel                         kbo_max
% 7.18/7.47  % --res_to_prop_solver                  none
% 7.18/7.47  % --res_prop_simpl_new                  false
% 7.18/7.47  % --res_prop_simpl_given                false
% 7.18/7.47  % --res_passive_queue_type              priority_queues
% 7.18/7.47  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 7.18/7.47  % --res_passive_queues_freq             [15;5]
% 7.18/7.47  % --res_forward_subs                    full
% 7.18/7.47  % --res_backward_subs                   full
% 7.18/7.47  % --res_forward_subs_resolution         true
% 7.18/7.47  % --res_backward_subs_resolution        true
% 7.18/7.47  % --res_orphan_elimination              false
% 7.18/7.47  % --res_time_limit                      1000.
% 7.18/7.47  % --res_out_proof                       true
% 7.18/7.47  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_6ee262.s
% 7.18/7.47  % --modulo                              true
% 7.18/7.47  
% 7.18/7.47  % ------ Combination Options
% 7.18/7.47  
% 7.18/7.47  % --comb_res_mult                       1000
% 7.18/7.47  % --comb_inst_mult                      300
% 7.18/7.47  % ------ 
% 7.18/7.47  
% 7.18/7.47  % ------ Parsing...% successful
% 7.18/7.47  
% 7.18/7.47  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e  pe_s  pe_e  snvd_s sp: 0 0s snvd_e % 
% 7.18/7.47  
% 7.18/7.47  % ------ Proving...
% 7.18/7.47  % ------ Problem Properties 
% 7.18/7.47  
% 7.18/7.47  % 
% 7.18/7.47  % EPR                                   false
% 7.18/7.47  % Horn                                  false
% 7.18/7.47  % Has equality                          true
% 7.18/7.47  
% 7.18/7.47  % % ------ Input Options Time Limit: Unbounded
% 7.18/7.47  
% 7.18/7.47  
% 7.18/7.47  Compiling...
% 7.18/7.47  Loading plugin: done.
% 7.18/7.47  Compiling...
% 7.18/7.47  Loading plugin: done.
% 7.18/7.47  Compiling...
% 7.18/7.47  Loading plugin: done.
% 7.18/7.47  Compiling...
% 7.18/7.47  Loading plugin: done.
% 7.18/7.47  Compiling...
% 7.18/7.47  Loading plugin: done.
% 7.18/7.47  Compiling...
% 7.18/7.47  Loading plugin: done.
% 7.18/7.47  Compiling...
% 7.18/7.47  Loading plugin: done.
% 7.18/7.47  Compiling...
% 7.18/7.47  Loading plugin: done.
% 7.18/7.47  Compiling...
% 7.18/7.47  Loading plugin: done.
% 7.18/7.47  Compiling...
% 7.18/7.47  Loading plugin: done.
% 7.18/7.47  Compiling...
% 7.18/7.47  Loading plugin: done.
% 7.18/7.47  Compiling...
% 7.18/7.47  Loading plugin: done.
% 7.18/7.47  Compiling...
% 7.18/7.47  Loading plugin: done.
% 7.18/7.47  Compiling...
% 7.18/7.47  Loading plugin: done.
% 7.18/7.47  Compiling...
% 7.18/7.47  Loading plugin: done.
% 7.18/7.47  Compiling...
% 7.18/7.47  Loading plugin: done.
% 7.18/7.47  Compiling...
% 7.18/7.47  Loading plugin: done.
% 7.18/7.47  Compiling...
% 7.18/7.47  Loading plugin: done.
% 7.18/7.47  Compiling...
% 7.18/7.47  Loading plugin: done.
% 7.18/7.47  Compiling...
% 7.18/7.47  Loading plugin: done.
% 7.18/7.47  Compiling...
% 7.18/7.47  Loading plugin: done.
% 7.18/7.47  Compiling...
% 7.18/7.47  Loading plugin: done.
% 7.18/7.47  Compiling...
% 7.18/7.47  Loading plugin: done.
% 7.18/7.47  Compiling...
% 7.18/7.47  Loading plugin: done.
% 7.18/7.47  Compiling...
% 7.18/7.47  Loading plugin: done.
% 7.18/7.47  Compiling...
% 7.18/7.47  Loading plugin: done.
% 7.18/7.47  % % ------ Current options:
% 7.18/7.47  
% 7.18/7.47  % ------ Input Options
% 7.18/7.47  
% 7.18/7.47  % --out_options                         all
% 7.18/7.47  % --tptp_safe_out                       true
% 7.18/7.47  % --problem_path                        ""
% 7.18/7.47  % --include_path                        ""
% 7.18/7.47  % --clausifier                          .//eprover
% 7.18/7.47  % --clausifier_options                  --tstp-format  
% 7.18/7.47  % --stdin                               false
% 7.18/7.47  % --dbg_backtrace                       false
% 7.18/7.47  % --dbg_dump_prop_clauses               false
% 7.18/7.47  % --dbg_dump_prop_clauses_file          -
% 7.18/7.47  % --dbg_out_stat                        false
% 7.18/7.47  
% 7.18/7.47  % ------ General Options
% 7.18/7.47  
% 7.18/7.47  % --fof                                 false
% 7.18/7.47  % --time_out_real                       150.
% 7.18/7.47  % --time_out_prep_mult                  0.2
% 7.18/7.47  % --time_out_virtual                    -1.
% 7.18/7.47  % --schedule                            none
% 7.18/7.47  % --ground_splitting                    input
% 7.18/7.47  % --splitting_nvd                       16
% 7.18/7.47  % --non_eq_to_eq                        false
% 7.18/7.47  % --prep_gs_sim                         true
% 7.18/7.47  % --prep_unflatten                      false
% 7.18/7.47  % --prep_res_sim                        true
% 7.18/7.47  % --prep_upred                          true
% 7.18/7.47  % --res_sim_input                       true
% 7.18/7.47  % --clause_weak_htbl                    true
% 7.18/7.47  % --gc_record_bc_elim                   false
% 7.18/7.47  % --symbol_type_check                   false
% 7.18/7.47  % --clausify_out                        false
% 7.18/7.47  % --large_theory_mode                   false
% 7.18/7.47  % --prep_sem_filter                     none
% 7.18/7.47  % --prep_sem_filter_out                 false
% 7.18/7.47  % --preprocessed_out                    false
% 7.18/7.47  % --sub_typing                          false
% 7.18/7.47  % --brand_transform                     false
% 7.18/7.47  % --pure_diseq_elim                     true
% 7.18/7.47  % --min_unsat_core                      false
% 7.18/7.47  % --pred_elim                           true
% 7.18/7.47  % --add_important_lit                   false
% 7.18/7.47  % --soft_assumptions                    false
% 7.18/7.47  % --reset_solvers                       false
% 7.18/7.47  % --bc_imp_inh                          []
% 7.18/7.47  % --conj_cone_tolerance                 1.5
% 7.18/7.47  % --prolific_symb_bound                 500
% 7.18/7.47  % --lt_threshold                        2000
% 7.18/7.47  
% 7.18/7.47  % ------ SAT Options
% 7.18/7.47  
% 7.18/7.47  % --sat_mode                            false
% 7.18/7.47  % --sat_fm_restart_options              ""
% 7.18/7.47  % --sat_gr_def                          false
% 7.18/7.47  % --sat_epr_types                       true
% 7.18/7.47  % --sat_non_cyclic_types                false
% 7.18/7.47  % --sat_finite_models                   false
% 7.18/7.47  % --sat_fm_lemmas                       false
% 7.18/7.47  % --sat_fm_prep                         false
% 7.18/7.47  % --sat_fm_uc_incr                      true
% 7.18/7.47  % --sat_out_model                       small
% 7.18/7.47  % --sat_out_clauses                     false
% 7.18/7.47  
% 7.18/7.47  % ------ QBF Options
% 7.18/7.47  
% 7.18/7.47  % --qbf_mode                            false
% 7.18/7.47  % --qbf_elim_univ                       true
% 7.18/7.47  % --qbf_sk_in                           true
% 7.18/7.47  % --qbf_pred_elim                       true
% 7.18/7.47  % --qbf_split                           32
% 7.18/7.47  
% 7.18/7.47  % ------ BMC1 Options
% 7.18/7.47  
% 7.18/7.47  % --bmc1_incremental                    false
% 7.18/7.47  % --bmc1_axioms                         reachable_all
% 7.18/7.47  % --bmc1_min_bound                      0
% 7.18/7.47  % --bmc1_max_bound                      -1
% 7.18/7.47  % --bmc1_max_bound_default              -1
% 7.18/7.47  % --bmc1_symbol_reachability            true
% 7.18/7.47  % --bmc1_property_lemmas                false
% 7.18/7.47  % --bmc1_k_induction                    false
% 7.18/7.47  % --bmc1_non_equiv_states               false
% 7.18/7.47  % --bmc1_deadlock                       false
% 7.18/7.47  % --bmc1_ucm                            false
% 7.18/7.47  % --bmc1_add_unsat_core                 none
% 7.18/7.47  % --bmc1_unsat_core_children            false
% 7.18/7.47  % --bmc1_unsat_core_extrapolate_axioms  false
% 7.18/7.47  % --bmc1_out_stat                       full
% 7.18/7.47  % --bmc1_ground_init                    false
% 7.18/7.47  % --bmc1_pre_inst_next_state            false
% 7.18/7.47  % --bmc1_pre_inst_state                 false
% 7.18/7.47  % --bmc1_pre_inst_reach_state           false
% 7.18/7.47  % --bmc1_out_unsat_core                 false
% 7.18/7.47  % --bmc1_aig_witness_out                false
% 7.18/7.47  % --bmc1_verbose                        false
% 7.18/7.47  % --bmc1_dump_clauses_tptp              false
% 7.18/7.47  % --bmc1_dump_unsat_core_tptp           false
% 7.18/7.47  % --bmc1_dump_file                      -
% 7.18/7.47  % --bmc1_ucm_expand_uc_limit            128
% 7.18/7.47  % --bmc1_ucm_n_expand_iterations        6
% 7.18/7.47  % --bmc1_ucm_extend_mode                1
% 7.18/7.47  % --bmc1_ucm_init_mode                  2
% 7.18/7.47  % --bmc1_ucm_cone_mode                  none
% 7.18/7.48  % --bmc1_ucm_reduced_relation_type      0
% 7.18/7.48  % --bmc1_ucm_relax_model                4
% 7.18/7.48  % --bmc1_ucm_full_tr_after_sat          true
% 7.18/7.48  % --bmc1_ucm_expand_neg_assumptions     false
% 7.18/7.48  % --bmc1_ucm_layered_model              none
% 7.18/7.48  % --bmc1_ucm_max_lemma_size             10
% 7.18/7.48  
% 7.18/7.48  % ------ AIG Options
% 7.18/7.48  
% 7.18/7.48  % --aig_mode                            false
% 7.18/7.48  
% 7.18/7.48  % ------ Instantiation Options
% 7.18/7.48  
% 7.18/7.48  % --instantiation_flag                  true
% 7.18/7.48  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 7.18/7.48  % --inst_solver_per_active              750
% 7.18/7.48  % --inst_solver_calls_frac              0.5
% 7.18/7.48  % --inst_passive_queue_type             priority_queues
% 7.18/7.48  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 7.18/7.48  % --inst_passive_queues_freq            [25;2]
% 7.18/7.48  % --inst_dismatching                    true
% 7.18/7.48  % --inst_eager_unprocessed_to_passive   true
% 7.18/7.48  % --inst_prop_sim_given                 true
% 7.18/7.48  % --inst_prop_sim_new                   false
% 7.18/7.48  % --inst_orphan_elimination             true
% 7.18/7.48  % --inst_learning_loop_flag             true
% 7.18/7.48  % --inst_learning_start                 3000
% 7.18/7.48  % --inst_learning_factor                2
% 7.18/7.48  % --inst_start_prop_sim_after_learn     3
% 7.18/7.48  % --inst_sel_renew                      solver
% 7.18/7.48  % --inst_lit_activity_flag              true
% 7.18/7.48  % --inst_out_proof                      true
% 7.18/7.48  
% 7.18/7.48  % ------ Resolution Options
% 7.18/7.48  
% 7.18/7.48  % --resolution_flag                     true
% 7.18/7.48  % --res_lit_sel                         kbo_max
% 7.18/7.48  % --res_to_prop_solver                  none
% 7.18/7.48  % --res_prop_simpl_new                  false
% 7.18/7.48  % --res_prop_simpl_given                false
% 7.18/7.48  % --res_passive_queue_type              priority_queues
% 7.18/7.48  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 7.18/7.48  % --res_passive_queues_freq             [15;5]
% 7.18/7.48  % --res_forward_subs                    full
% 7.18/7.48  % --res_backward_subs                   full
% 7.18/7.48  % --res_forward_subs_resolution         true
% 7.18/7.48  % --res_backward_subs_resolution        true
% 7.18/7.48  % --res_orphan_elimination              false
% 7.18/7.48  % --res_time_limit                      1000.
% 7.18/7.48  % --res_out_proof                       true
% 7.18/7.48  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_6ee262.s
% 7.18/7.48  % --modulo                              true
% 7.18/7.48  
% 7.18/7.48  % ------ Combination Options
% 7.18/7.48  
% 7.18/7.48  % --comb_res_mult                       1000
% 7.18/7.48  % --comb_inst_mult                      300
% 7.18/7.48  % ------ 
% 7.18/7.48  
% 7.18/7.48  
% 7.18/7.48  
% 7.18/7.48  % ------ Proving...
% 7.18/7.48  % 
% 7.18/7.48  
% 7.18/7.48  
% 7.18/7.48  %  Resolution empty clause
% 7.18/7.48  
% 7.18/7.48  % ------                             Statistics
% 7.18/7.48  
% 7.18/7.48  % ------ General
% 7.18/7.48  
% 7.18/7.48  % num_of_input_clauses:                 915
% 7.18/7.48  % num_of_input_neg_conjectures:         3
% 7.18/7.48  % num_of_splits:                        0
% 7.18/7.48  % num_of_split_atoms:                   0
% 7.18/7.48  % num_of_sem_filtered_clauses:          0
% 7.18/7.48  % num_of_subtypes:                      0
% 7.18/7.48  % monotx_restored_types:                0
% 7.18/7.48  % sat_num_of_epr_types:                 0
% 7.18/7.48  % sat_num_of_non_cyclic_types:          0
% 7.18/7.48  % sat_guarded_non_collapsed_types:      0
% 7.18/7.48  % is_epr:                               0
% 7.18/7.48  % is_horn:                              0
% 7.18/7.48  % has_eq:                               1
% 7.18/7.48  % num_pure_diseq_elim:                  0
% 7.18/7.48  % simp_replaced_by:                     0
% 7.18/7.48  % res_preprocessed:                     6
% 7.18/7.48  % prep_upred:                           0
% 7.18/7.48  % prep_unflattend:                      0
% 7.18/7.48  % pred_elim_cands:                      0
% 7.18/7.48  % pred_elim:                            0
% 7.18/7.48  % pred_elim_cl:                         0
% 7.18/7.48  % pred_elim_cycles:                     0
% 7.18/7.48  % forced_gc_time:                       0
% 7.18/7.48  % gc_basic_clause_elim:                 0
% 7.18/7.48  % parsing_time:                         0.058
% 7.18/7.48  % sem_filter_time:                      0.
% 7.18/7.48  % pred_elim_time:                       0.
% 7.18/7.48  % out_proof_time:                       0.
% 7.18/7.48  % monotx_time:                          0.
% 7.18/7.48  % subtype_inf_time:                     0.
% 7.18/7.48  % unif_index_cands_time:                0.
% 7.18/7.48  % unif_index_add_time:                  0.001
% 7.18/7.48  % total_time:                           6.984
% 7.18/7.48  % num_of_symbols:                       107
% 7.18/7.48  % num_of_terms:                         3628
% 7.18/7.48  
% 7.18/7.48  % ------ Propositional Solver
% 7.18/7.48  
% 7.18/7.48  % prop_solver_calls:                    1
% 7.18/7.48  % prop_fast_solver_calls:               9
% 7.18/7.48  % prop_num_of_clauses:                  1039
% 7.18/7.48  % prop_preprocess_simplified:           2585
% 7.18/7.48  % prop_fo_subsumed:                     0
% 7.18/7.48  % prop_solver_time:                     0.
% 7.18/7.48  % prop_fast_solver_time:                0.
% 7.18/7.48  % prop_unsat_core_time:                 0.
% 7.18/7.48  
% 7.18/7.48  % ------ QBF 
% 7.18/7.48  
% 7.18/7.48  % qbf_q_res:                            0
% 7.18/7.48  % qbf_num_tautologies:                  0
% 7.18/7.48  % qbf_prep_cycles:                      0
% 7.18/7.48  
% 7.18/7.48  % ------ BMC1
% 7.18/7.48  
% 7.18/7.48  % bmc1_current_bound:                   -1
% 7.18/7.48  % bmc1_last_solved_bound:               -1
% 7.18/7.48  % bmc1_unsat_core_size:                 -1
% 7.18/7.48  % bmc1_unsat_core_parents_size:         -1
% 7.18/7.48  % bmc1_merge_next_fun:                  0
% 7.18/7.48  % bmc1_unsat_core_clauses_time:         0.
% 7.18/7.48  
% 7.18/7.48  % ------ Instantiation
% 7.18/7.48  
% 7.18/7.48  % inst_num_of_clauses:                  822
% 7.18/7.48  % inst_num_in_passive:                  0
% 7.18/7.48  % inst_num_in_active:                   0
% 7.18/7.48  % inst_num_in_unprocessed:              915
% 7.18/7.48  % inst_num_of_loops:                    0
% 7.18/7.48  % inst_num_of_learning_restarts:        0
% 7.18/7.48  % inst_num_moves_active_passive:        0
% 7.18/7.48  % inst_lit_activity:                    0
% 7.18/7.48  % inst_lit_activity_moves:              0
% 7.18/7.48  % inst_num_tautologies:                 0
% 7.18/7.48  % inst_num_prop_implied:                0
% 7.18/7.48  % inst_num_existing_simplified:         0
% 7.18/7.48  % inst_num_eq_res_simplified:           0
% 7.18/7.48  % inst_num_child_elim:                  0
% 7.18/7.48  % inst_num_of_dismatching_blockings:    0
% 7.18/7.48  % inst_num_of_non_proper_insts:         0
% 7.18/7.48  % inst_num_of_duplicates:               0
% 7.18/7.48  % inst_inst_num_from_inst_to_res:       0
% 7.18/7.48  % inst_dismatching_checking_time:       0.
% 7.18/7.48  
% 7.18/7.48  % ------ Resolution
% 7.18/7.48  
% 7.18/7.48  % res_num_of_clauses:                   908
% 7.18/7.48  % res_num_in_passive:                   23
% 7.18/7.48  % res_num_in_active:                    409
% 7.18/7.48  % res_num_of_loops:                     4
% 7.18/7.48  % res_forward_subset_subsumed:          420
% 7.18/7.48  % res_backward_subset_subsumed:         6
% 7.18/7.48  % res_forward_subsumed:                 0
% 7.18/7.48  % res_backward_subsumed:                0
% 7.18/7.48  % res_forward_subsumption_resolution:   1
% 7.18/7.48  % res_backward_subsumption_resolution:  0
% 7.18/7.48  % res_clause_to_clause_subsumption:     1
% 7.18/7.48  % res_orphan_elimination:               0
% 7.18/7.48  % res_tautology_del:                    0
% 7.18/7.48  % res_num_eq_res_simplified:            0
% 7.18/7.48  % res_num_sel_changes:                  0
% 7.18/7.48  % res_moves_from_active_to_pass:        0
% 7.18/7.48  
% 7.18/7.48  % Status Unsatisfiable
% 7.18/7.48  % SZS status Unsatisfiable
% 7.18/7.48  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------