%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : LCL787-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n004.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 : Sun Jul 17 11:39:39 EDT 2022

% Result   : Unsatisfiable 2.10s 2.57s
% Output   : CNFRefutation 2.10s
% 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(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__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_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__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__Nat_Osemiring__char__0,axiom,
    class_Nat_Osemiring__char__0(tc_nat),
    input ).

fof(clsarity_nat__Nat_Osemiring__char__0_0,plain,
    ( class_Nat_Osemiring__char__0(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__Nat_Osemiring__char__0]) ).

cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom,
    class_OrderedGroup_Omonoid__add(tc_nat),
    input ).

fof(clsarity_nat__OrderedGroup_Omonoid__add_0,plain,
    ( class_OrderedGroup_Omonoid__add(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__OrderedGroup_Omonoid__add]) ).

cnf(clsarity_nat__Ring__and__Field_Osemiring__1,axiom,
    class_Ring__and__Field_Osemiring__1(tc_nat),
    input ).

fof(clsarity_nat__Ring__and__Field_Osemiring__1_0,plain,
    ( class_Ring__and__Field_Osemiring__1(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__Ring__and__Field_Osemiring__1]) ).

cnf(clsarity_nat__OrderedGroup_Osemigroup__add,axiom,
    class_OrderedGroup_Osemigroup__add(tc_nat),
    input ).

fof(clsarity_nat__OrderedGroup_Osemigroup__add_0,plain,
    ( class_OrderedGroup_Osemigroup__add(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__OrderedGroup_Osemigroup__add]) ).

cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_nat),
    input ).

fof(clsarity_nat__OrderedGroup_Ocomm__monoid__add_0,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__OrderedGroup_Ocomm__monoid__add]) ).

cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom,
    class_OrderedGroup_Oab__semigroup__add(tc_nat),
    input ).

fof(clsarity_nat__OrderedGroup_Oab__semigroup__add_0,plain,
    ( class_OrderedGroup_Oab__semigroup__add(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__OrderedGroup_Oab__semigroup__add]) ).

cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
    input ).

fof(clsarity_nat__Ring__and__Field_Ocomm__semiring__1_0,plain,
    ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__Ring__and__Field_Ocomm__semiring__1]) ).

cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom,
    class_Ring__and__Field_Oordered__semidom(tc_nat),
    input ).

fof(clsarity_nat__Ring__and__Field_Oordered__semidom_0,plain,
    ( class_Ring__and__Field_Oordered__semidom(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__Ring__and__Field_Oordered__semidom]) ).

cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom,
    class_OrderedGroup_Ocancel__semigroup__add(tc_nat),
    input ).

fof(clsarity_nat__OrderedGroup_Ocancel__semigroup__add_0,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__OrderedGroup_Ocancel__semigroup__add]) ).

cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
    class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat),
    input ).

fof(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add_0,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add]) ).

cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom,
    class_OrderedGroup_Opordered__comm__monoid__add(tc_nat),
    input ).

fof(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add_0,plain,
    ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__OrderedGroup_Opordered__comm__monoid__add]) ).

cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat),
    input ).

fof(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le_0,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le]) ).

cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
    class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat),
    input ).

fof(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add_0,plain,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add]) ).

cnf(cls_CHAINED_0,axiom,
    c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)),
    input ).

fof(cls_CHAINED_0_0,plain,
    ( c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))
    | $false ),
    inference(orientation,[status(thm)],[cls_CHAINED_0]) ).

cnf(cls_dB_Osimps_I5_J_0,axiom,
    hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) != c_Lambda_OdB_OVar(V_nat),
    input ).

fof(cls_dB_Osimps_I5_J_0_0,plain,
    ! [V_dB1_H,V_dB2_H,V_nat] :
      ( hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) != c_Lambda_OdB_OVar(V_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_dB_Osimps_I5_J_0]) ).

cnf(cls_type_Osimps_I3_J_0,axiom,
    c_Type_Otype_OAtom(V_nat) != hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H),
    input ).

fof(cls_type_Osimps_I3_J_0_0,plain,
    ! [V_nat,V_type1_H,V_type2_H] :
      ( c_Type_Otype_OAtom(V_nat) != hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_type_Osimps_I3_J_0]) ).

cnf(cls_typing_OVar_0,axiom,
    c_Type_Otyping(V_env,c_Lambda_OdB_OVar(V_x),hAPP(V_env,V_x)),
    input ).

fof(cls_typing_OVar_0_0,plain,
    ! [V_env,V_x] :
      ( c_Type_Otyping(V_env,c_Lambda_OdB_OVar(V_x),hAPP(V_env,V_x))
      | $false ),
    inference(orientation,[status(thm)],[cls_typing_OVar_0]) ).

cnf(cls_type_Osimps_I6_J_0,axiom,
    c_Type_Otype_Otype__case(V_f1,V_f2,hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2),T_a) = hAPP(hAPP(V_f2,V_type1),V_type2),
    input ).

fof(cls_type_Osimps_I6_J_0_0,plain,
    ! [T_a,V_f1,V_f2,V_type1,V_type2] :
      ( c_Type_Otype_Otype__case(V_f1,V_f2,hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2),T_a) = hAPP(hAPP(V_f2,V_type1),V_type2)
      | $false ),
    inference(orientation,[status(thm)],[cls_type_Osimps_I6_J_0]) ).

cnf(cls_type_Orecs_I2_J_0,axiom,
    c_Type_Otype_Otype__rec(V_f1,V_f2,hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2),T_a) = hAPP(hAPP(hAPP(hAPP(V_f2,V_type1),V_type2),c_Type_Otype_Otype__rec(V_f1,V_f2,V_type1,T_a)),c_Type_Otype_Otype__rec(V_f1,V_f2,V_type2,T_a)),
    input ).

fof(cls_type_Orecs_I2_J_0_0,plain,
    ! [T_a,V_f1,V_f2,V_type1,V_type2] :
      ( c_Type_Otype_Otype__rec(V_f1,V_f2,hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2),T_a) = hAPP(hAPP(hAPP(hAPP(V_f2,V_type1),V_type2),c_Type_Otype_Otype__rec(V_f1,V_f2,V_type1,T_a)),c_Type_Otype_Otype__rec(V_f1,V_f2,V_type2,T_a))
      | $false ),
    inference(orientation,[status(thm)],[cls_type_Orecs_I2_J_0]) ).

cnf(cls_foldr_Osimps_I1_J_0,axiom,
    c_List_Ofoldr(V_f,c_List_Olist_ONil(T_b),V_a,T_b,T_a) = V_a,
    input ).

fof(cls_foldr_Osimps_I1_J_0_0,plain,
    ! [T_a,T_b,V_a,V_f] :
      ( c_List_Ofoldr(V_f,c_List_Olist_ONil(T_b),V_a,T_b,T_a) = V_a
      | $false ),
    inference(orientation,[status(thm)],[cls_foldr_Osimps_I1_J_0]) ).

cnf(cls_dB_Osimps_I10_J_0,axiom,
    c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_nat),T_a) = hAPP(V_f1,V_nat),
    input ).

fof(cls_dB_Osimps_I10_J_0_0,plain,
    ! [T_a,V_f1,V_f2,V_f3,V_nat] :
      ( c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_nat),T_a) = hAPP(V_f1,V_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_dB_Osimps_I10_J_0]) ).

cnf(cls_nT_0,axiom,
    c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____),
    input ).

fof(cls_nT_0_0,plain,
    ( c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____)
    | $false ),
    inference(orientation,[status(thm)],[cls_nT_0]) ).

cnf(cls_Var_I4_J_0,axiom,
    c_Type_Otyping(v_ea______,v_ua______,v_T____),
    input ).

fof(cls_Var_I4_J_0_0,plain,
    ( c_Type_Otyping(v_ea______,v_ua______,v_T____)
    | $false ),
    inference(orientation,[status(thm)],[cls_Var_I4_J_0]) ).

cnf(cls_argsT_0,axiom,
    c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_as____,v_Ts____),
    input ).

fof(cls_argsT_0_0,plain,
    ( c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_as____,v_Ts____)
    | $false ),
    inference(orientation,[status(thm)],[cls_argsT_0]) ).

cnf(cls_headT_0,axiom,
    c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)),
    input ).

fof(cls_headT_0_0,plain,
    ( c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))
    | $false ),
    inference(orientation,[status(thm)],[cls_headT_0]) ).

cnf(cls_Var_I2_J_0,axiom,
    c_Type_Otyping(c_Type_Oshift(v_ea______,v_ia______,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_Ha______),
    input ).

fof(cls_Var_I2_J_0_0,plain,
    ( c_Type_Otyping(c_Type_Oshift(v_ea______,v_ia______,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_Ha______)
    | $false ),
    inference(orientation,[status(thm)],[cls_Var_I2_J_0]) ).

cnf(cls_foldr__append_0,axiom,
    c_List_Ofoldr(V_f,c_List_Oappend(V_xs,V_ys,T_b),V_a,T_b,T_a) = c_List_Ofoldr(V_f,V_xs,c_List_Ofoldr(V_f,V_ys,V_a,T_b,T_a),T_b,T_a),
    input ).

fof(cls_foldr__append_0_0,plain,
    ! [T_a,T_b,V_a,V_f,V_xs,V_ys] :
      ( c_List_Ofoldr(V_f,c_List_Oappend(V_xs,V_ys,T_b),V_a,T_b,T_a) = c_List_Ofoldr(V_f,V_xs,c_List_Ofoldr(V_f,V_ys,V_a,T_b,T_a),T_b,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_foldr__append_0]) ).

cnf(cls_Var__IT_0,axiom,
    hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(V_n))),
    input ).

fof(cls_Var__IT_0_0,plain,
    ! [V_n] :
      ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(V_n)))
      | $false ),
    inference(orientation,[status(thm)],[cls_Var__IT_0]) ).

cnf(cls_dB_Osimps_I6_J_0,axiom,
    c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OAbs(V_dB_H),
    input ).

fof(cls_dB_Osimps_I6_J_0_0,plain,
    ! [V_dB_H,V_nat] :
      ( c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OAbs(V_dB_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_dB_Osimps_I6_J_0]) ).

cnf(cls_True_0,axiom,
    v_n____ = v_i____,
    input ).

fof(cls_True_0_0,plain,
    ( v_n____ = v_i____
    | $false ),
    inference(orientation,[status(thm)],[cls_True_0]) ).

cnf(cls_shift__eq_0,axiom,
    hAPP(c_Type_Oshift(V_e,V_x,V_T,T_a),V_x) = V_T,
    input ).

fof(cls_shift__eq_0_0,plain,
    ! [T_a,V_T,V_e,V_x] :
      ( hAPP(c_Type_Oshift(V_e,V_x,V_T,T_a),V_x) = V_T
      | $false ),
    inference(orientation,[status(thm)],[cls_shift__eq_0]) ).

cnf(cls_dB_Osimps_I4_J_0,axiom,
    c_Lambda_OdB_OVar(V_nat) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H),
    input ).

fof(cls_dB_Osimps_I4_J_0_0,plain,
    ! [V_dB1_H,V_dB2_H,V_nat] :
      ( c_Lambda_OdB_OVar(V_nat) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_dB_Osimps_I4_J_0]) ).

cnf(cls_dB_Orecs_I1_J_0,axiom,
    c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_nat),T_a) = hAPP(V_f1,V_nat),
    input ).

fof(cls_dB_Orecs_I1_J_0_0,plain,
    ! [T_a,V_f1,V_f2,V_f3,V_nat] :
      ( c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_nat),T_a) = hAPP(V_f1,V_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_dB_Orecs_I1_J_0]) ).

cnf(cls_beta__cases_I1_J_0,axiom,
    ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OVar(V_i)),V_t)),
    input ).

fof(cls_beta__cases_I1_J_0_0,plain,
    ! [V_i,V_t] :
      ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OVar(V_i)),V_t))
      | $false ),
    inference(orientation,[status(thm)],[cls_beta__cases_I1_J_0]) ).

cnf(cls_foldr_Osimps_I2_J_0,axiom,
    c_List_Ofoldr(V_f,c_List_Olist_OCons(V_x,V_xs,T_b),V_a,T_b,T_a) = hAPP(hAPP(V_f,V_x),c_List_Ofoldr(V_f,V_xs,V_a,T_b,T_a)),
    input ).

fof(cls_foldr_Osimps_I2_J_0_0,plain,
    ! [T_a,T_b,V_a,V_f,V_x,V_xs] :
      ( c_List_Ofoldr(V_f,c_List_Olist_OCons(V_x,V_xs,T_b),V_a,T_b,T_a) = hAPP(hAPP(V_f,V_x),c_List_Ofoldr(V_f,V_xs,V_a,T_b,T_a))
      | $false ),
    inference(orientation,[status(thm)],[cls_foldr_Osimps_I2_J_0]) ).

cnf(cls_subst__eq_0,axiom,
    c_Lambda_Osubst(c_Lambda_OdB_OVar(V_k),V_u,V_k) = V_u,
    input ).

fof(cls_subst__eq_0_0,plain,
    ! [V_k,V_u] :
      ( c_Lambda_Osubst(c_Lambda_OdB_OVar(V_k),V_u,V_k) = V_u
      | $false ),
    inference(orientation,[status(thm)],[cls_subst__eq_0]) ).

cnf(cls_dB_Osimps_I7_J_0,axiom,
    c_Lambda_OdB_OAbs(V_dB_H) != c_Lambda_OdB_OVar(V_nat),
    input ).

fof(cls_dB_Osimps_I7_J_0_0,plain,
    ! [V_dB_H,V_nat] :
      ( c_Lambda_OdB_OAbs(V_dB_H) != c_Lambda_OdB_OVar(V_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_dB_Osimps_I7_J_0]) ).

cnf(cls_uT_0,axiom,
    c_Type_Otyping(v_e____,v_u____,v_T____),
    input ).

fof(cls_uT_0_0,plain,
    ( c_Type_Otyping(v_e____,v_u____,v_T____)
    | $false ),
    inference(orientation,[status(thm)],[cls_uT_0]) ).

cnf(cls_type_Osimps_I4_J_0,axiom,
    hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H) != c_Type_Otype_OAtom(V_nat),
    input ).

fof(cls_type_Osimps_I4_J_0_0,plain,
    ! [V_nat,V_type1_H,V_type2_H] :
      ( hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H) != c_Type_Otype_OAtom(V_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_type_Osimps_I4_J_0]) ).

cnf(cls_append__eq__append__conv2_5,axiom,
    c_List_Oappend(V_xs,c_List_Oappend(V_x,V_ts,T_a),T_a) = c_List_Oappend(c_List_Oappend(V_xs,V_x,T_a),V_ts,T_a),
    input ).

fof(cls_append__eq__append__conv2_5_0,plain,
    ! [T_a,V_ts,V_x,V_xs] :
      ( c_List_Oappend(V_xs,c_List_Oappend(V_x,V_ts,T_a),T_a) = c_List_Oappend(c_List_Oappend(V_xs,V_x,T_a),V_ts,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_append__eq__append__conv2_5]) ).

cnf(cls_append__eq__append__conv2_4,axiom,
    c_List_Oappend(c_List_Oappend(V_zs,V_x,T_a),V_ys,T_a) = c_List_Oappend(V_zs,c_List_Oappend(V_x,V_ys,T_a),T_a),
    input ).

fof(cls_append__eq__append__conv2_4_0,plain,
    ! [T_a,V_x,V_ys,V_zs] :
      ( c_List_Oappend(c_List_Oappend(V_zs,V_x,T_a),V_ys,T_a) = c_List_Oappend(V_zs,c_List_Oappend(V_x,V_ys,T_a),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_append__eq__append__conv2_4]) ).

cnf(cls_append__eq__appendI_0,axiom,
    c_List_Oappend(V_xs,c_List_Oappend(V_xs1,V_us,T_a),T_a) = c_List_Oappend(c_List_Oappend(V_xs,V_xs1,T_a),V_us,T_a),
    input ).

fof(cls_append__eq__appendI_0_0,plain,
    ! [T_a,V_us,V_xs,V_xs1] :
      ( c_List_Oappend(V_xs,c_List_Oappend(V_xs1,V_us,T_a),T_a) = c_List_Oappend(c_List_Oappend(V_xs,V_xs1,T_a),V_us,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_append__eq__appendI_0]) ).

cnf(cls_append__assoc_0,axiom,
    c_List_Oappend(c_List_Oappend(V_xs,V_ys,T_a),V_zs,T_a) = c_List_Oappend(V_xs,c_List_Oappend(V_ys,V_zs,T_a),T_a),
    input ).

fof(cls_append__assoc_0_0,plain,
    ! [T_a,V_xs,V_ys,V_zs] :
      ( c_List_Oappend(c_List_Oappend(V_xs,V_ys,T_a),V_zs,T_a) = c_List_Oappend(V_xs,c_List_Oappend(V_ys,V_zs,T_a),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_append__assoc_0]) ).

cnf(cls_append__is__Nil__conv_2,axiom,
    c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a),
    input ).

fof(cls_append__is__Nil__conv_2_0,plain,
    ! [T_a] :
      ( c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_append__is__Nil__conv_2]) ).

cnf(cls_subst__App_0,axiom,
    c_Lambda_Osubst(hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u),V_s,V_k) = hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Osubst(V_t,V_s,V_k)),c_Lambda_Osubst(V_u,V_s,V_k)),
    input ).

fof(cls_subst__App_0_0,plain,
    ! [V_k,V_s,V_t,V_u] :
      ( c_Lambda_Osubst(hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u),V_s,V_k) = hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Osubst(V_t,V_s,V_k)),c_Lambda_Osubst(V_u,V_s,V_k))
      | $false ),
    inference(orientation,[status(thm)],[cls_subst__App_0]) ).

cnf(cls_dB_Osimps_I8_J_0,axiom,
    hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != c_Lambda_OdB_OAbs(V_dB_H),
    input ).

fof(cls_dB_Osimps_I8_J_0_0,plain,
    ! [V_dB1,V_dB2,V_dB_H] :
      ( hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != c_Lambda_OdB_OAbs(V_dB_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_dB_Osimps_I8_J_0]) ).

cnf(cls_dB_Osimps_I9_J_0,axiom,
    c_Lambda_OdB_OAbs(V_dB_H) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2),
    input ).

fof(cls_dB_Osimps_I9_J_0_0,plain,
    ! [V_dB1,V_dB2,V_dB_H] :
      ( c_Lambda_OdB_OAbs(V_dB_H) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2)
      | $false ),
    inference(orientation,[status(thm)],[cls_dB_Osimps_I9_J_0]) ).

cnf(cls_append__eq__Cons__conv_4,axiom,
    c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,V_xs,T_a),
    input ).

fof(cls_append__eq__Cons__conv_4_0,plain,
    ! [T_a,V_x,V_xs] :
      ( c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,V_xs,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_append__eq__Cons__conv_4]) ).

cnf(cls_neq0__conv_1,axiom,
    ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    input ).

fof(cls_neq0__conv_1_0,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[cls_neq0__conv_1]) ).

cnf(cls_dB_Orecs_I3_J_0,axiom,
    c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_dB),T_a) = hAPP(hAPP(V_f3,V_dB),c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,V_dB,T_a)),
    input ).

fof(cls_dB_Orecs_I3_J_0_0,plain,
    ! [T_a,V_dB,V_f1,V_f2,V_f3] :
      ( c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_dB),T_a) = hAPP(hAPP(V_f3,V_dB),c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,V_dB,T_a))
      | $false ),
    inference(orientation,[status(thm)],[cls_dB_Orecs_I3_J_0]) ).

cnf(cls_list_Osimps_I2_J_0,axiom,
    c_List_Olist_ONil(T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a),
    input ).

fof(cls_list_Osimps_I2_J_0_0,plain,
    ! [T_a,V_a_H,V_list_H] :
      ( c_List_Olist_ONil(T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_list_Osimps_I2_J_0]) ).

cnf(cls_beta_0,axiom,
    hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_s)),V_t)),c_Lambda_Osubst(V_s,V_t,c_HOL_Ozero__class_Ozero(tc_nat)))),
    input ).

fof(cls_beta_0_0,plain,
    ! [V_s,V_t] :
      ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_s)),V_t)),c_Lambda_Osubst(V_s,V_t,c_HOL_Ozero__class_Ozero(tc_nat))))
      | $false ),
    inference(orientation,[status(thm)],[cls_beta_0]) ).

cnf(cls_less__not__refl_0,axiom,
    ~ c_HOL_Oord__class_Oless(V_n,V_n,tc_nat),
    input ).

fof(cls_less__not__refl_0_0,plain,
    ! [V_n] :
      ( ~ c_HOL_Oord__class_Oless(V_n,V_n,tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_less__not__refl_0]) ).

cnf(cls_nat__less__le_1,axiom,
    ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_nat),
    input ).

fof(cls_nat__less__le_1_0,plain,
    ! [V_x] :
      ( ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_nat__less__le_1]) ).

cnf(cls_type_Orecs_I1_J_0,axiom,
    c_Type_Otype_Otype__rec(V_f1,V_f2,c_Type_Otype_OAtom(V_nat),T_a) = hAPP(V_f1,V_nat),
    input ).

fof(cls_type_Orecs_I1_J_0_0,plain,
    ! [T_a,V_f1,V_f2,V_nat] :
      ( c_Type_Otype_Otype__rec(V_f1,V_f2,c_Type_Otype_OAtom(V_nat),T_a) = hAPP(V_f1,V_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_type_Orecs_I1_J_0]) ).

cnf(cls_Var__apps__neq__Abs__apps_0,axiom,
    c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_ts,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),V_ss,tc_Lambda_OdB,tc_Lambda_OdB),
    input ).

fof(cls_Var__apps__neq__Abs__apps_0_0,plain,
    ! [V_n,V_r,V_ss,V_ts] :
      ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_ts,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
      | $false ),
    inference(orientation,[status(thm)],[cls_Var__apps__neq__Abs__apps_0]) ).

cnf(cls_foldl__Nil_0,axiom,
    c_List_Ofoldl(V_f,V_a,c_List_Olist_ONil(T_b),T_a,T_b) = V_a,
    input ).

fof(cls_foldl__Nil_0_0,plain,
    ! [T_a,T_b,V_a,V_f] :
      ( c_List_Ofoldl(V_f,V_a,c_List_Olist_ONil(T_b),T_a,T_b) = V_a
      | $false ),
    inference(orientation,[status(thm)],[cls_foldl__Nil_0]) ).

cnf(cls_lift_Osimps_I2_J_0,axiom,
    c_Lambda_Olift(hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t),V_k) = hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Olift(V_s,V_k)),c_Lambda_Olift(V_t,V_k)),
    input ).

fof(cls_lift_Osimps_I2_J_0_0,plain,
    ! [V_k,V_s,V_t] :
      ( c_Lambda_Olift(hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t),V_k) = hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Olift(V_s,V_k)),c_Lambda_Olift(V_t,V_k))
      | $false ),
    inference(orientation,[status(thm)],[cls_lift_Osimps_I2_J_0]) ).

cnf(cls_self__append__conv2_1,axiom,
    V_ys = c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a),
    input ).

fof(cls_self__append__conv2_1_0,plain,
    ! [T_a,V_ys] :
      ( c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) = V_ys
      | $false ),
    inference(orientation,[status(thm)],[cls_self__append__conv2_1]) ).

cnf(cls_append__Nil_0,axiom,
    c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) = V_ys,
    input ).

fof(cls_append__Nil_0_0,plain,
    ! [T_a,V_ys] :
      ( c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) = V_ys
      | $false ),
    inference(orientation,[status(thm)],[cls_append__Nil_0]) ).

cnf(cls_self__append__conv_1,axiom,
    V_xs = c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a),
    input ).

fof(cls_self__append__conv_1_0,plain,
    ! [T_a,V_xs] :
      ( c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) = V_xs
      | $false ),
    inference(orientation,[status(thm)],[cls_self__append__conv_1]) ).

cnf(cls_eq__Nil__appendI_0,axiom,
    V_x = c_List_Oappend(c_List_Olist_ONil(T_a),V_x,T_a),
    input ).

fof(cls_eq__Nil__appendI_0_0,plain,
    ! [T_a,V_x] :
      ( c_List_Oappend(c_List_Olist_ONil(T_a),V_x,T_a) = V_x
      | $false ),
    inference(orientation,[status(thm)],[cls_eq__Nil__appendI_0]) ).

cnf(cls_append__Nil2_0,axiom,
    c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) = V_xs,
    input ).

fof(cls_append__Nil2_0_0,plain,
    ! [T_a,V_xs] :
      ( c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) = V_xs
      | $false ),
    inference(orientation,[status(thm)],[cls_append__Nil2_0]) ).

cnf(cls_dB_Osimps_I12_J_0,axiom,
    c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_dB),T_a) = hAPP(V_f3,V_dB),
    input ).

fof(cls_dB_Osimps_I12_J_0_0,plain,
    ! [T_a,V_dB,V_f1,V_f2,V_f3] :
      ( c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_dB),T_a) = hAPP(V_f3,V_dB)
      | $false ),
    inference(orientation,[status(thm)],[cls_dB_Osimps_I12_J_0]) ).

cnf(cls_Var_I3_J_0,axiom,
    hBOOL(hAPP(c_InductTermi_OIT,v_ua______)),
    input ).

fof(cls_Var_I3_J_0_0,plain,
    ( hBOOL(hAPP(c_InductTermi_OIT,v_ua______))
    | $false ),
    inference(orientation,[status(thm)],[cls_Var_I3_J_0]) ).

cnf(cls_dB_Osimps_I11_J_0,axiom,
    c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2),T_a) = hAPP(hAPP(V_f2,V_dB1),V_dB2),
    input ).

fof(cls_dB_Osimps_I11_J_0_0,plain,
    ! [T_a,V_dB1,V_dB2,V_f1,V_f2,V_f3] :
      ( c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2),T_a) = hAPP(hAPP(V_f2,V_dB1),V_dB2)
      | $false ),
    inference(orientation,[status(thm)],[cls_dB_Osimps_I11_J_0]) ).

cnf(cls_gr__implies__not0_0,axiom,
    ~ c_HOL_Oord__class_Oless(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    input ).

fof(cls_gr__implies__not0_0_0,plain,
    ! [V_m] :
      ( ~ c_HOL_Oord__class_Oless(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_gr__implies__not0_0]) ).

cnf(cls_not__less0_0,axiom,
    ~ c_HOL_Oord__class_Oless(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    input ).

fof(cls_not__less0_0_0,plain,
    ! [V_n] :
      ( ~ c_HOL_Oord__class_Oless(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_not__less0_0]) ).

cnf(cls_foldl__Cons_0,axiom,
    c_List_Ofoldl(V_f,V_a,c_List_Olist_OCons(V_x,V_xs,T_b),T_a,T_b) = c_List_Ofoldl(V_f,hAPP(hAPP(V_f,V_a),V_x),V_xs,T_a,T_b),
    input ).

fof(cls_foldl__Cons_0_0,plain,
    ! [T_a,T_b,V_a,V_f,V_x,V_xs] :
      ( c_List_Ofoldl(V_f,V_a,c_List_Olist_OCons(V_x,V_xs,T_b),T_a,T_b) = c_List_Ofoldl(V_f,hAPP(hAPP(V_f,V_a),V_x),V_xs,T_a,T_b)
      | $false ),
    inference(orientation,[status(thm)],[cls_foldl__Cons_0]) ).

cnf(cls_append__eq__Cons__conv_5,axiom,
    c_List_Oappend(c_List_Olist_OCons(V_x,V_xa,T_a),V_zs,T_a) = c_List_Olist_OCons(V_x,c_List_Oappend(V_xa,V_zs,T_a),T_a),
    input ).

fof(cls_append__eq__Cons__conv_5_0,plain,
    ! [T_a,V_x,V_xa,V_zs] :
      ( c_List_Oappend(c_List_Olist_OCons(V_x,V_xa,T_a),V_zs,T_a) = c_List_Olist_OCons(V_x,c_List_Oappend(V_xa,V_zs,T_a),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_append__eq__Cons__conv_5]) ).

cnf(cls_append__Cons_0,axiom,
    c_List_Oappend(c_List_Olist_OCons(V_x,V_xs,T_a),V_ys,T_a) = c_List_Olist_OCons(V_x,c_List_Oappend(V_xs,V_ys,T_a),T_a),
    input ).

fof(cls_append__Cons_0_0,plain,
    ! [T_a,V_x,V_xs,V_ys] :
      ( c_List_Oappend(c_List_Olist_OCons(V_x,V_xs,T_a),V_ys,T_a) = c_List_Olist_OCons(V_x,c_List_Oappend(V_xs,V_ys,T_a),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_append__Cons_0]) ).

cnf(cls_dB_Orecs_I2_J_0,axiom,
    c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2),T_a) = hAPP(hAPP(hAPP(hAPP(V_f2,V_dB1),V_dB2),c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,V_dB1,T_a)),c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,V_dB2,T_a)),
    input ).

fof(cls_dB_Orecs_I2_J_0_0,plain,
    ! [T_a,V_dB1,V_dB2,V_f1,V_f2,V_f3] :
      ( c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2),T_a) = hAPP(hAPP(hAPP(hAPP(V_f2,V_dB1),V_dB2),c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,V_dB1,T_a)),c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,V_dB2,T_a))
      | $false ),
    inference(orientation,[status(thm)],[cls_dB_Orecs_I2_J_0]) ).

cnf(cls_Cons__eq__append__conv_5,axiom,
    c_List_Olist_OCons(V_x,c_List_Oappend(V_xa,V_zs,T_a),T_a) = c_List_Oappend(c_List_Olist_OCons(V_x,V_xa,T_a),V_zs,T_a),
    input ).

fof(cls_Cons__eq__append__conv_5_0,plain,
    ! [T_a,V_x,V_xa,V_zs] :
      ( c_List_Olist_OCons(V_x,c_List_Oappend(V_xa,V_zs,T_a),T_a) = c_List_Oappend(c_List_Olist_OCons(V_x,V_xa,T_a),V_zs,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_Cons__eq__append__conv_5]) ).

cnf(cls_Cons__eq__appendI_0,axiom,
    c_List_Olist_OCons(V_x,c_List_Oappend(V_xs1,V_zs,T_a),T_a) = c_List_Oappend(c_List_Olist_OCons(V_x,V_xs1,T_a),V_zs,T_a),
    input ).

fof(cls_Cons__eq__appendI_0_0,plain,
    ! [T_a,V_x,V_xs1,V_zs] :
      ( c_List_Olist_OCons(V_x,c_List_Oappend(V_xs1,V_zs,T_a),T_a) = c_List_Oappend(c_List_Olist_OCons(V_x,V_xs1,T_a),V_zs,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_Cons__eq__appendI_0]) ).

cnf(cls_neq__Nil__conv_1,axiom,
    c_List_Olist_OCons(V_x,V_xa,T_a) != c_List_Olist_ONil(T_a),
    input ).

fof(cls_neq__Nil__conv_1_0,plain,
    ! [T_a,V_x,V_xa] :
      ( c_List_Olist_OCons(V_x,V_xa,T_a) != c_List_Olist_ONil(T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_neq__Nil__conv_1]) ).

cnf(cls_list_Osimps_I3_J_0,axiom,
    c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil(T_a),
    input ).

fof(cls_list_Osimps_I3_J_0_0,plain,
    ! [T_a,V_a_H,V_list_H] :
      ( c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil(T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_list_Osimps_I3_J_0]) ).

cnf(cls_take__Cons_H_0,axiom,
    c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_ONil(T_a),
    input ).

fof(cls_take__Cons_H_0_0,plain,
    ! [T_a,V_x,V_xs] :
      ( c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_ONil(T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_take__Cons_H_0]) ).

cnf(cls_length__greater__0__conv_0,axiom,
    ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(c_List_Olist_ONil(T_a),tc_List_Olist(T_a)),tc_nat),
    input ).

fof(cls_length__greater__0__conv_0_0,plain,
    ! [T_a] :
      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(c_List_Olist_ONil(T_a),tc_List_Olist(T_a)),tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_length__greater__0__conv_0]) ).

cnf(cls_replicate__append__same_0,axiom,
    c_List_Oappend(c_List_Oreplicate(V_i,V_x,T_a),c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Oreplicate(V_i,V_x,T_a),T_a),
    input ).

fof(cls_replicate__append__same_0_0,plain,
    ! [T_a,V_i,V_x] :
      ( c_List_Oappend(c_List_Oreplicate(V_i,V_x,T_a),c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Oreplicate(V_i,V_x,T_a),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_replicate__append__same_0]) ).

cnf(cls_rotate__simps_1,axiom,
    c_List_Orotate1(c_List_Olist_OCons(V_x,V_xs,T_b),T_b) = c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_b),T_b),T_b),
    input ).

fof(cls_rotate__simps_1_0,plain,
    ! [T_b,V_x,V_xs] :
      ( c_List_Orotate1(c_List_Olist_OCons(V_x,V_xs,T_b),T_b) = c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_b),T_b),T_b)
      | $false ),
    inference(orientation,[status(thm)],[cls_rotate__simps_1]) ).

cnf(cls_rev__eq__Cons__iff_1,axiom,
    c_List_Orev(c_List_Oappend(c_List_Orev(V_ys,T_a),c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a),T_a) = c_List_Olist_OCons(V_y,V_ys,T_a),
    input ).

fof(cls_rev__eq__Cons__iff_1_0,plain,
    ! [T_a,V_y,V_ys] :
      ( c_List_Orev(c_List_Oappend(c_List_Orev(V_ys,T_a),c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a),T_a) = c_List_Olist_OCons(V_y,V_ys,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_rev__eq__Cons__iff_1]) ).

cnf(cls_rev_Osimps_I2_J_0,axiom,
    c_List_Orev(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Oappend(c_List_Orev(V_xs,T_a),c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),
    input ).

fof(cls_rev_Osimps_I2_J_0_0,plain,
    ! [T_a,V_x,V_xs] :
      ( c_List_Orev(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Oappend(c_List_Orev(V_xs,T_a),c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_rev_Osimps_I2_J_0]) ).

cnf(cls_butlast__snoc_0,axiom,
    c_List_Obutlast(c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),T_a) = V_xs,
    input ).

fof(cls_butlast__snoc_0_0,plain,
    ! [T_a,V_x,V_xs] :
      ( c_List_Obutlast(c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),T_a) = V_xs
      | $false ),
    inference(orientation,[status(thm)],[cls_butlast__snoc_0]) ).

cnf(cls_last__snoc_0,axiom,
    c_List_Olast(c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),T_a) = V_x,
    input ).

fof(cls_last__snoc_0_0,plain,
    ! [T_a,V_x,V_xs] :
      ( c_List_Olast(c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),T_a) = V_x
      | $false ),
    inference(orientation,[status(thm)],[cls_last__snoc_0]) ).

cnf(cls_apps__eq__Abs__conv_2,axiom,
    c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) = c_Lambda_OdB_OAbs(V_r),
    input ).

fof(cls_apps__eq__Abs__conv_2_0,plain,
    ! [V_r] :
      ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) = c_Lambda_OdB_OAbs(V_r)
      | $false ),
    inference(orientation,[status(thm)],[cls_apps__eq__Abs__conv_2]) ).

cnf(cls_Abs__eq__apps__conv_2,axiom,
    c_Lambda_OdB_OAbs(V_r) = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),
    input ).

fof(cls_Abs__eq__apps__conv_2_0,plain,
    ! [V_r] :
      ( c_Lambda_OdB_OAbs(V_r) = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)
      | $false ),
    inference(orientation,[status(thm)],[cls_Abs__eq__apps__conv_2]) ).

cnf(cls_Var__eq__apps__conv_2,axiom,
    c_Lambda_OdB_OVar(V_m) = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_m),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),
    input ).

fof(cls_Var__eq__apps__conv_2_0,plain,
    ! [V_m] :
      ( c_Lambda_OdB_OVar(V_m) = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_m),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)
      | $false ),
    inference(orientation,[status(thm)],[cls_Var__eq__apps__conv_2]) ).

cnf(cls_Cons_0,axiom,
    v_rs____ = c_List_Olist_OCons(v_a____,v_as____,tc_Lambda_OdB),
    input ).

fof(cls_Cons_0_0,plain,
    ( v_rs____ = c_List_Olist_OCons(v_a____,v_as____,tc_Lambda_OdB)
    | $false ),
    inference(orientation,[status(thm)],[cls_Cons_0]) ).

cnf(cls_type_Osimps_I5_J_0,axiom,
    c_Type_Otype_Otype__case(V_f1,V_f2,c_Type_Otype_OAtom(V_nat),T_a) = hAPP(V_f1,V_nat),
    input ).

fof(cls_type_Osimps_I5_J_0_0,plain,
    ! [T_a,V_f1,V_f2,V_nat] :
      ( c_Type_Otype_Otype__case(V_f1,V_f2,c_Type_Otype_OAtom(V_nat),T_a) = hAPP(V_f1,V_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_type_Osimps_I5_J_0]) ).

cnf(cls_foldl__append_0,axiom,
    c_List_Ofoldl(V_f,V_a,c_List_Oappend(V_xs,V_ys,T_b),T_a,T_b) = c_List_Ofoldl(V_f,c_List_Ofoldl(V_f,V_a,V_xs,T_a,T_b),V_ys,T_a,T_b),
    input ).

fof(cls_foldl__append_0_0,plain,
    ! [T_a,T_b,V_a,V_f,V_xs,V_ys] :
      ( c_List_Ofoldl(V_f,V_a,c_List_Oappend(V_xs,V_ys,T_b),T_a,T_b) = c_List_Ofoldl(V_f,c_List_Ofoldl(V_f,V_a,V_xs,T_a,T_b),V_ys,T_a,T_b)
      | $false ),
    inference(orientation,[status(thm)],[cls_foldl__append_0]) ).

cnf(cls_Abs__App__neq__Var__apps_0,axiom,
    hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_s)),V_t) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_ss,tc_Lambda_OdB,tc_Lambda_OdB),
    input ).

fof(cls_Abs__App__neq__Var__apps_0_0,plain,
    ! [V_n,V_s,V_ss,V_t] :
      ( hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_s)),V_t) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_ss,tc_Lambda_OdB,tc_Lambda_OdB)
      | $false ),
    inference(orientation,[status(thm)],[cls_Abs__App__neq__Var__apps_0]) ).

cnf(cls_Nil__is__append__conv_2,axiom,
    c_List_Olist_ONil(T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a),
    input ).

fof(cls_Nil__is__append__conv_2_0,plain,
    ! [T_a] :
      ( c_List_Olist_ONil(T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_Nil__is__append__conv_2]) ).

cnf(cls_Cons__eq__append__conv_4,axiom,
    c_List_Olist_OCons(V_x,V_xs,T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a),
    input ).

fof(cls_Cons__eq__append__conv_4_0,plain,
    ! [T_a,V_x,V_xs] :
      ( c_List_Olist_OCons(V_x,V_xs,T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_Cons__eq__append__conv_4]) ).

cnf(cls_not__Cons__self_0,axiom,
    V_xs != c_List_Olist_OCons(V_x,V_xs,T_a),
    input ).

fof(cls_not__Cons__self_0_0,plain,
    ! [T_a,V_x,V_xs] :
      ( V_xs != c_List_Olist_OCons(V_x,V_xs,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_not__Cons__self_0]) ).

cnf(cls_not__Cons__self2_0,axiom,
    c_List_Olist_OCons(V_x,V_t,T_a) != V_t,
    input ).

fof(cls_not__Cons__self2_0_0,plain,
    ! [T_a,V_t,V_x] :
      ( c_List_Olist_OCons(V_x,V_t,T_a) != V_t
      | $false ),
    inference(orientation,[status(thm)],[cls_not__Cons__self2_0]) ).

cnf(cls_subst__lift_0,axiom,
    c_Lambda_Osubst(c_Lambda_Olift(V_t,V_k),V_s,V_k) = V_t,
    input ).

fof(cls_subst__lift_0_0,plain,
    ! [V_k,V_s,V_t] :
      ( c_Lambda_Osubst(c_Lambda_Olift(V_t,V_k),V_s,V_k) = V_t
      | $false ),
    inference(orientation,[status(thm)],[cls_subst__lift_0]) ).

cnf(cls_uIT_0,axiom,
    hBOOL(hAPP(c_InductTermi_OIT,v_u____)),
    input ).

fof(cls_uIT_0_0,plain,
    ( hBOOL(hAPP(c_InductTermi_OIT,v_u____))
    | $false ),
    inference(orientation,[status(thm)],[cls_uIT_0]) ).

cnf(cls_App__eq__foldl__conv_4,axiom,
    hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s) = c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),
    input ).

fof(cls_App__eq__foldl__conv_4_0,plain,
    ! [V_r,V_s] :
      ( hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s) = c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)
      | $false ),
    inference(orientation,[status(thm)],[cls_App__eq__foldl__conv_4]) ).

cnf(cls_last__append_0,axiom,
    c_List_Olast(c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Olast(V_xs,T_a),
    input ).

fof(cls_last__append_0_0,plain,
    ! [T_a,V_xs] :
      ( c_List_Olast(c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Olast(V_xs,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_last__append_0]) ).

cnf(cls_butlast__append_0,axiom,
    c_List_Obutlast(c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Obutlast(V_xs,T_a),
    input ).

fof(cls_butlast__append_0_0,plain,
    ! [T_a,V_xs] :
      ( c_List_Obutlast(c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Obutlast(V_xs,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_butlast__append_0]) ).

cnf(cls_replicate__app__Cons__same_0,axiom,
    c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),V_xs,T_a),T_a),
    input ).

fof(cls_replicate__app__Cons__same_0_0,plain,
    ! [T_a,V_n,V_x,V_xs] :
      ( c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),V_xs,T_a),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_replicate__app__Cons__same_0]) ).

cnf(cls_last_Osimps_0,axiom,
    c_List_Olast(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) = V_x,
    input ).

fof(cls_last_Osimps_0_0,plain,
    ! [T_a,V_x] :
      ( c_List_Olast(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) = V_x
      | $false ),
    inference(orientation,[status(thm)],[cls_last_Osimps_0]) ).

cnf(cls_butlast_Osimps_I2_J_0,axiom,
    c_List_Obutlast(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Olist_ONil(T_a),
    input ).

fof(cls_butlast_Osimps_I2_J_0_0,plain,
    ! [T_a,V_x] :
      ( c_List_Obutlast(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Olist_ONil(T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_butlast_Osimps_I2_J_0]) ).

cnf(cls_rev__singleton__conv_1,axiom,
    c_List_Orev(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),
    input ).

fof(cls_rev__singleton__conv_1_0,plain,
    ! [T_a,V_x] :
      ( c_List_Orev(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_rev__singleton__conv_1]) ).

cnf(cls_singleton__rev__conv_1,axiom,
    c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) = c_List_Orev(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),
    input ).

fof(cls_singleton__rev__conv_1_0,plain,
    ! [T_a,V_x] :
      ( c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) = c_List_Orev(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_singleton__rev__conv_1]) ).

cnf(cls_take__0_0,axiom,
    c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),V_xs,T_a) = c_List_Olist_ONil(T_a),
    input ).

fof(cls_take__0_0_0,plain,
    ! [T_a,V_xs] :
      ( c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),V_xs,T_a) = c_List_Olist_ONil(T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_take__0_0]) ).

cnf(cls_empty__replicate_1,axiom,
    c_List_Olist_ONil(T_a) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a),
    input ).

fof(cls_empty__replicate_1_0,plain,
    ! [T_a,V_x] :
      ( c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) = c_List_Olist_ONil(T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_empty__replicate_1]) ).

cnf(cls_length__0__conv_1,axiom,
    c_Nat_Osize__class_Osize(c_List_Olist_ONil(T_a),tc_List_Olist(T_a)) = c_HOL_Ozero__class_Ozero(tc_nat),
    input ).

fof(cls_length__0__conv_1_0,plain,
    ! [T_a] :
      ( c_Nat_Osize__class_Osize(c_List_Olist_ONil(T_a),tc_List_Olist(T_a)) = c_HOL_Ozero__class_Ozero(tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_length__0__conv_1]) ).

cnf(cls_replicate__empty_1,axiom,
    c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) = c_List_Olist_ONil(T_a),
    input ).

fof(cls_replicate__empty_1_0,plain,
    ! [T_a,V_x] :
      ( c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) = c_List_Olist_ONil(T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_replicate__empty_1]) ).

cnf(cls_length__rev_0,axiom,
    c_Nat_Osize__class_Osize(c_List_Orev(V_xs,T_a),tc_List_Olist(T_a)) = c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),
    input ).

fof(cls_length__rev_0_0,plain,
    ! [T_a,V_xs] :
      ( c_Nat_Osize__class_Osize(c_List_Orev(V_xs,T_a),tc_List_Olist(T_a)) = c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a))
      | $false ),
    inference(orientation,[status(thm)],[cls_length__rev_0]) ).

cnf(cls_Nil__is__rev__conv_1,axiom,
    c_List_Olist_ONil(T_a) = c_List_Orev(c_List_Olist_ONil(T_a),T_a),
    input ).

fof(cls_Nil__is__rev__conv_1_0,plain,
    ! [T_a] :
      ( c_List_Olist_ONil(T_a) = c_List_Orev(c_List_Olist_ONil(T_a),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_Nil__is__rev__conv_1]) ).

cnf(cls_butlast_Osimps_I1_J_0,axiom,
    c_List_Obutlast(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a),
    input ).

fof(cls_butlast_Osimps_I1_J_0_0,plain,
    ! [T_a] :
      ( c_List_Obutlast(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_butlast_Osimps_I1_J_0]) ).

cnf(cls_conversep__conversep_0,axiom,
    c_Predicate_Oconversep(c_Predicate_Oconversep(V_r,T_a,T_b),T_b,T_a) = V_r,
    input ).

fof(cls_conversep__conversep_0_0,plain,
    ! [T_a,T_b,V_r] :
      ( c_Predicate_Oconversep(c_Predicate_Oconversep(V_r,T_a,T_b),T_b,T_a) = V_r
      | $false ),
    inference(orientation,[status(thm)],[cls_conversep__conversep_0]) ).

cnf(cls_length__replicate_0,axiom,
    c_Nat_Osize__class_Osize(c_List_Oreplicate(V_n,V_x,T_a),tc_List_Olist(T_a)) = V_n,
    input ).

fof(cls_length__replicate_0_0,plain,
    ! [T_a,V_n,V_x] :
      ( c_Nat_Osize__class_Osize(c_List_Oreplicate(V_n,V_x,T_a),tc_List_Olist(T_a)) = V_n
      | $false ),
    inference(orientation,[status(thm)],[cls_length__replicate_0]) ).

cnf(cls_append__replicate__commute_0,axiom,
    c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),c_List_Oreplicate(V_k,V_x,T_a),T_a) = c_List_Oappend(c_List_Oreplicate(V_k,V_x,T_a),c_List_Oreplicate(V_n,V_x,T_a),T_a),
    input ).

fof(cls_append__replicate__commute_0_0,plain,
    ! [T_a,V_k,V_n,V_x] :
      ( c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),c_List_Oreplicate(V_k,V_x,T_a),T_a) = c_List_Oappend(c_List_Oreplicate(V_k,V_x,T_a),c_List_Oreplicate(V_n,V_x,T_a),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_append__replicate__commute_0]) ).

cnf(cls_length__rotate1_0,axiom,
    c_Nat_Osize__class_Osize(c_List_Orotate1(V_xs,T_a),tc_List_Olist(T_a)) = c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),
    input ).

fof(cls_length__rotate1_0_0,plain,
    ! [T_a,V_xs] :
      ( c_Nat_Osize__class_Osize(c_List_Orotate1(V_xs,T_a),tc_List_Olist(T_a)) = c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a))
      | $false ),
    inference(orientation,[status(thm)],[cls_length__rotate1_0]) ).

cnf(cls_conversep__eq_0,axiom,
    c_Predicate_Oconversep(c_fequal(T_a),T_a,T_a) = c_fequal(T_a),
    input ).

fof(cls_conversep__eq_0_0,plain,
    ! [T_a] :
      ( c_Predicate_Oconversep(c_fequal(T_a),T_a,T_a) = c_fequal(T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_conversep__eq_0]) ).

cnf(cls_not__step1__Nil_0,axiom,
    ~ c_ListOrder_Ostep1(V_r,V_xs,c_List_Olist_ONil(T_a),T_a),
    input ).

fof(cls_not__step1__Nil_0_0,plain,
    ! [T_a,V_r,V_xs] :
      ( ~ c_ListOrder_Ostep1(V_r,V_xs,c_List_Olist_ONil(T_a),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_not__step1__Nil_0]) ).

cnf(cls_not__Nil__step1_0,axiom,
    ~ c_ListOrder_Ostep1(V_r,c_List_Olist_ONil(T_a),V_xs,T_a),
    input ).

fof(cls_not__Nil__step1_0_0,plain,
    ! [T_a,V_r,V_xs] :
      ( ~ c_ListOrder_Ostep1(V_r,c_List_Olist_ONil(T_a),V_xs,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_not__Nil__step1_0]) ).

cnf(cls_rev__replicate_0,axiom,
    c_List_Orev(c_List_Oreplicate(V_n,V_x,T_a),T_a) = c_List_Oreplicate(V_n,V_x,T_a),
    input ).

fof(cls_rev__replicate_0_0,plain,
    ! [T_a,V_n,V_x] :
      ( c_List_Orev(c_List_Oreplicate(V_n,V_x,T_a),T_a) = c_List_Oreplicate(V_n,V_x,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_rev__replicate_0]) ).

cnf(cls_append__eq__conv__conj_0,axiom,
    V_xs = c_List_Otake(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_List_Oappend(V_xs,V_ys,T_a),T_a),
    input ).

fof(cls_append__eq__conv__conj_0_0,plain,
    ! [T_a,V_xs,V_ys] :
      ( c_List_Otake(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_List_Oappend(V_xs,V_ys,T_a),T_a) = V_xs
      | $false ),
    inference(orientation,[status(thm)],[cls_append__eq__conv__conj_0]) ).

cnf(cls_rev__rev__ident_0,axiom,
    c_List_Orev(c_List_Orev(V_xs,T_a),T_a) = V_xs,
    input ).

fof(cls_rev__rev__ident_0_0,plain,
    ! [T_a,V_xs] :
      ( c_List_Orev(c_List_Orev(V_xs,T_a),T_a) = V_xs
      | $false ),
    inference(orientation,[status(thm)],[cls_rev__rev__ident_0]) ).

cnf(cls_rev__swap_1,axiom,
    c_List_Orev(c_List_Orev(V_ys,T_a),T_a) = V_ys,
    input ).

fof(cls_rev__swap_1_0,plain,
    ! [T_a,V_ys] :
      ( c_List_Orev(c_List_Orev(V_ys,T_a),T_a) = V_ys
      | $false ),
    inference(orientation,[status(thm)],[cls_rev__swap_1]) ).

cnf(cls_rev__swap_0,axiom,
    V_xs = c_List_Orev(c_List_Orev(V_xs,T_a),T_a),
    input ).

fof(cls_rev__swap_0_0,plain,
    ! [T_a,V_xs] :
      ( c_List_Orev(c_List_Orev(V_xs,T_a),T_a) = V_xs
      | $false ),
    inference(orientation,[status(thm)],[cls_rev__swap_0]) ).

cnf(cls_take__eq__Nil_2,axiom,
    c_List_Otake(V_n,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a),
    input ).

fof(cls_take__eq__Nil_2_0,plain,
    ! [T_a,V_n] :
      ( c_List_Otake(V_n,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_take__eq__Nil_2]) ).

cnf(cls_rev__append_0,axiom,
    c_List_Orev(c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Oappend(c_List_Orev(V_ys,T_a),c_List_Orev(V_xs,T_a),T_a),
    input ).

fof(cls_rev__append_0_0,plain,
    ! [T_a,V_xs,V_ys] :
      ( c_List_Orev(c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Oappend(c_List_Orev(V_ys,T_a),c_List_Orev(V_xs,T_a),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_rev__append_0]) ).

cnf(cls_rev__is__Nil__conv_1,axiom,
    c_List_Orev(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a),
    input ).

fof(cls_rev__is__Nil__conv_1_0,plain,
    ! [T_a] :
      ( c_List_Orev(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_rev__is__Nil__conv_1]) ).

cnf(cls_rtranclp__idemp_0,axiom,
    c_Transitive__Closure_Ortranclp(c_Transitive__Closure_Ortranclp(V_r,T_a),T_a) = c_Transitive__Closure_Ortranclp(V_r,T_a),
    input ).

fof(cls_rtranclp__idemp_0_0,plain,
    ! [T_a,V_r] :
      ( c_Transitive__Closure_Ortranclp(c_Transitive__Closure_Ortranclp(V_r,T_a),T_a) = c_Transitive__Closure_Ortranclp(V_r,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_rtranclp__idemp_0]) ).

cnf(cls_replicate__eq__replicate_2,axiom,
    c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_y,T_a),
    input ).

fof(cls_replicate__eq__replicate_2_0,plain,
    ! [T_a,V_x,V_y] :
      ( c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_y,T_a)
      | c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_y,T_a) ),
    inference(orientation,[status(thm)],[cls_replicate__eq__replicate_2]) ).

cnf(cls_rotate__simps_0,axiom,
    c_List_Orotate1(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a),
    input ).

fof(cls_rotate__simps_0_0,plain,
    ! [T_a] :
      ( c_List_Orotate1(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_rotate__simps_0]) ).

cnf(cls_listsp_ONil_0,axiom,
    c_List_Olistsp(V_A,c_List_Olist_ONil(T_a),T_a),
    input ).

fof(cls_listsp_ONil_0_0,plain,
    ! [T_a,V_A] :
      ( c_List_Olistsp(V_A,c_List_Olist_ONil(T_a),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_listsp_ONil_0]) ).

cnf(cls_rtranclp_Ortrancl__refl_0,axiom,
    hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_a)),
    input ).

fof(cls_rtranclp_Ortrancl__refl_0_0,plain,
    ! [T_a,V_a,V_r] :
      ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_a))
      | $false ),
    inference(orientation,[status(thm)],[cls_rtranclp_Ortrancl__refl_0]) ).

cnf(cls_Nitpick_Ortranclp__def_1,axiom,
    hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_x)),
    input ).

fof(cls_Nitpick_Ortranclp__def_1_0,plain,
    ! [T_a,V_r,V_x] :
      ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_x))
      | $false ),
    inference(orientation,[status(thm)],[cls_Nitpick_Ortranclp__def_1]) ).

fof(def_lhs_atom1,axiom,
    ! [V_x,V_r,T_a] :
      ( lhs_atom1(V_x,V_r,T_a)
    <=> hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_x)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_0,plain,
    ! [T_a,V_r,V_x] :
      ( lhs_atom1(V_x,V_r,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Nitpick_Ortranclp__def_1_0,def_lhs_atom1]) ).

fof(def_lhs_atom2,axiom,
    ! [V_r,V_a,T_a] :
      ( lhs_atom2(V_r,V_a,T_a)
    <=> hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_a)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_1,plain,
    ! [T_a,V_a,V_r] :
      ( lhs_atom2(V_r,V_a,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_rtranclp_Ortrancl__refl_0_0,def_lhs_atom2]) ).

fof(def_lhs_atom3,axiom,
    ! [V_A,T_a] :
      ( lhs_atom3(V_A,T_a)
    <=> c_List_Olistsp(V_A,c_List_Olist_ONil(T_a),T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_2,plain,
    ! [T_a,V_A] :
      ( lhs_atom3(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_listsp_ONil_0_0,def_lhs_atom3]) ).

fof(def_lhs_atom4,axiom,
    ! [T_a] :
      ( lhs_atom4(T_a)
    <=> c_List_Orotate1(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_3,plain,
    ! [T_a] :
      ( lhs_atom4(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_rotate__simps_0_0,def_lhs_atom4]) ).

fof(def_lhs_atom5,axiom,
    ! [V_y,V_x,T_a] :
      ( lhs_atom5(V_y,V_x,T_a)
    <=> c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_y,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_4,plain,
    ! [T_a,V_x,V_y] :
      ( lhs_atom5(V_y,V_x,T_a)
      | c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_y,T_a) ),
    inference(fold_definition,[status(thm)],[cls_replicate__eq__replicate_2_0,def_lhs_atom5]) ).

fof(def_lhs_atom6,axiom,
    ! [V_r,T_a] :
      ( lhs_atom6(V_r,T_a)
    <=> c_Transitive__Closure_Ortranclp(c_Transitive__Closure_Ortranclp(V_r,T_a),T_a) = c_Transitive__Closure_Ortranclp(V_r,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_5,plain,
    ! [T_a,V_r] :
      ( lhs_atom6(V_r,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_rtranclp__idemp_0_0,def_lhs_atom6]) ).

fof(def_lhs_atom7,axiom,
    ! [T_a] :
      ( lhs_atom7(T_a)
    <=> c_List_Orev(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_6,plain,
    ! [T_a] :
      ( lhs_atom7(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_rev__is__Nil__conv_1_0,def_lhs_atom7]) ).

fof(def_lhs_atom8,axiom,
    ! [V_ys,V_xs,T_a] :
      ( lhs_atom8(V_ys,V_xs,T_a)
    <=> c_List_Orev(c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Oappend(c_List_Orev(V_ys,T_a),c_List_Orev(V_xs,T_a),T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_7,plain,
    ! [T_a,V_xs,V_ys] :
      ( lhs_atom8(V_ys,V_xs,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_rev__append_0_0,def_lhs_atom8]) ).

fof(def_lhs_atom9,axiom,
    ! [V_n,T_a] :
      ( lhs_atom9(V_n,T_a)
    <=> c_List_Otake(V_n,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_8,plain,
    ! [T_a,V_n] :
      ( lhs_atom9(V_n,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_take__eq__Nil_2_0,def_lhs_atom9]) ).

fof(def_lhs_atom10,axiom,
    ! [V_xs,T_a] :
      ( lhs_atom10(V_xs,T_a)
    <=> c_List_Orev(c_List_Orev(V_xs,T_a),T_a) = V_xs ),
    inference(definition,[],]) ).

fof(to_be_clausified_9,plain,
    ! [T_a,V_xs] :
      ( lhs_atom10(V_xs,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_rev__swap_0_0,def_lhs_atom10]) ).

fof(def_lhs_atom11,axiom,
    ! [V_ys,T_a] :
      ( lhs_atom11(V_ys,T_a)
    <=> c_List_Orev(c_List_Orev(V_ys,T_a),T_a) = V_ys ),
    inference(definition,[],]) ).

fof(to_be_clausified_10,plain,
    ! [T_a,V_ys] :
      ( lhs_atom11(V_ys,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_rev__swap_1_0,def_lhs_atom11]) ).

fof(to_be_clausified_11,plain,
    ! [T_a,V_xs] :
      ( lhs_atom10(V_xs,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_rev__rev__ident_0_0,def_lhs_atom10]) ).

fof(def_lhs_atom12,axiom,
    ! [V_ys,V_xs,T_a] :
      ( lhs_atom12(V_ys,V_xs,T_a)
    <=> c_List_Otake(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_List_Oappend(V_xs,V_ys,T_a),T_a) = V_xs ),
    inference(definition,[],]) ).

fof(to_be_clausified_12,plain,
    ! [T_a,V_xs,V_ys] :
      ( lhs_atom12(V_ys,V_xs,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_append__eq__conv__conj_0_0,def_lhs_atom12]) ).

fof(def_lhs_atom13,axiom,
    ! [V_x,V_n,T_a] :
      ( lhs_atom13(V_x,V_n,T_a)
    <=> c_List_Orev(c_List_Oreplicate(V_n,V_x,T_a),T_a) = c_List_Oreplicate(V_n,V_x,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_13,plain,
    ! [T_a,V_n,V_x] :
      ( lhs_atom13(V_x,V_n,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_rev__replicate_0_0,def_lhs_atom13]) ).

fof(def_lhs_atom14,axiom,
    ! [V_xs,V_r,T_a] :
      ( lhs_atom14(V_xs,V_r,T_a)
    <=> ~ c_ListOrder_Ostep1(V_r,c_List_Olist_ONil(T_a),V_xs,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_14,plain,
    ! [T_a,V_r,V_xs] :
      ( lhs_atom14(V_xs,V_r,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_not__Nil__step1_0_0,def_lhs_atom14]) ).

fof(def_lhs_atom15,axiom,
    ! [V_xs,V_r,T_a] :
      ( lhs_atom15(V_xs,V_r,T_a)
    <=> ~ c_ListOrder_Ostep1(V_r,V_xs,c_List_Olist_ONil(T_a),T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_15,plain,
    ! [T_a,V_r,V_xs] :
      ( lhs_atom15(V_xs,V_r,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_not__step1__Nil_0_0,def_lhs_atom15]) ).

fof(def_lhs_atom16,axiom,
    ! [T_a] :
      ( lhs_atom16(T_a)
    <=> c_Predicate_Oconversep(c_fequal(T_a),T_a,T_a) = c_fequal(T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_16,plain,
    ! [T_a] :
      ( lhs_atom16(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_conversep__eq_0_0,def_lhs_atom16]) ).

fof(def_lhs_atom17,axiom,
    ! [V_xs,T_a] :
      ( lhs_atom17(V_xs,T_a)
    <=> c_Nat_Osize__class_Osize(c_List_Orotate1(V_xs,T_a),tc_List_Olist(T_a)) = c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_17,plain,
    ! [T_a,V_xs] :
      ( lhs_atom17(V_xs,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_length__rotate1_0_0,def_lhs_atom17]) ).

fof(def_lhs_atom18,axiom,
    ! [V_x,V_n,V_k,T_a] :
      ( lhs_atom18(V_x,V_n,V_k,T_a)
    <=> c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),c_List_Oreplicate(V_k,V_x,T_a),T_a) = c_List_Oappend(c_List_Oreplicate(V_k,V_x,T_a),c_List_Oreplicate(V_n,V_x,T_a),T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_18,plain,
    ! [T_a,V_k,V_n,V_x] :
      ( lhs_atom18(V_x,V_n,V_k,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_append__replicate__commute_0_0,def_lhs_atom18]) ).

fof(def_lhs_atom19,axiom,
    ! [V_x,V_n,T_a] :
      ( lhs_atom19(V_x,V_n,T_a)
    <=> c_Nat_Osize__class_Osize(c_List_Oreplicate(V_n,V_x,T_a),tc_List_Olist(T_a)) = V_n ),
    inference(definition,[],]) ).

fof(to_be_clausified_19,plain,
    ! [T_a,V_n,V_x] :
      ( lhs_atom19(V_x,V_n,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_length__replicate_0_0,def_lhs_atom19]) ).

fof(def_lhs_atom20,axiom,
    ! [V_r,T_b,T_a] :
      ( lhs_atom20(V_r,T_b,T_a)
    <=> c_Predicate_Oconversep(c_Predicate_Oconversep(V_r,T_a,T_b),T_b,T_a) = V_r ),
    inference(definition,[],]) ).

fof(to_be_clausified_20,plain,
    ! [T_a,T_b,V_r] :
      ( lhs_atom20(V_r,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_conversep__conversep_0_0,def_lhs_atom20]) ).

fof(def_lhs_atom21,axiom,
    ! [T_a] :
      ( lhs_atom21(T_a)
    <=> c_List_Obutlast(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_21,plain,
    ! [T_a] :
      ( lhs_atom21(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_butlast_Osimps_I1_J_0_0,def_lhs_atom21]) ).

fof(def_lhs_atom22,axiom,
    ! [T_a] :
      ( lhs_atom22(T_a)
    <=> c_List_Olist_ONil(T_a) = c_List_Orev(c_List_Olist_ONil(T_a),T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_22,plain,
    ! [T_a] :
      ( lhs_atom22(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Nil__is__rev__conv_1_0,def_lhs_atom22]) ).

fof(def_lhs_atom23,axiom,
    ! [V_xs,T_a] :
      ( lhs_atom23(V_xs,T_a)
    <=> c_Nat_Osize__class_Osize(c_List_Orev(V_xs,T_a),tc_List_Olist(T_a)) = c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_23,plain,
    ! [T_a,V_xs] :
      ( lhs_atom23(V_xs,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_length__rev_0_0,def_lhs_atom23]) ).

fof(def_lhs_atom24,axiom,
    ! [V_x,T_a] :
      ( lhs_atom24(V_x,T_a)
    <=> c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) = c_List_Olist_ONil(T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_24,plain,
    ! [T_a,V_x] :
      ( lhs_atom24(V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_replicate__empty_1_0,def_lhs_atom24]) ).

fof(def_lhs_atom25,axiom,
    ! [T_a] :
      ( lhs_atom25(T_a)
    <=> c_Nat_Osize__class_Osize(c_List_Olist_ONil(T_a),tc_List_Olist(T_a)) = c_HOL_Ozero__class_Ozero(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_25,plain,
    ! [T_a] :
      ( lhs_atom25(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_length__0__conv_1_0,def_lhs_atom25]) ).

fof(to_be_clausified_26,plain,
    ! [T_a,V_x] :
      ( lhs_atom24(V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_empty__replicate_1_0,def_lhs_atom24]) ).

fof(def_lhs_atom26,axiom,
    ! [V_xs,T_a] :
      ( lhs_atom26(V_xs,T_a)
    <=> c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),V_xs,T_a) = c_List_Olist_ONil(T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_27,plain,
    ! [T_a,V_xs] :
      ( lhs_atom26(V_xs,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_take__0_0_0,def_lhs_atom26]) ).

fof(def_lhs_atom27,axiom,
    ! [V_x,T_a] :
      ( lhs_atom27(V_x,T_a)
    <=> c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) = c_List_Orev(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_28,plain,
    ! [T_a,V_x] :
      ( lhs_atom27(V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_singleton__rev__conv_1_0,def_lhs_atom27]) ).

fof(def_lhs_atom28,axiom,
    ! [V_x,T_a] :
      ( lhs_atom28(V_x,T_a)
    <=> c_List_Orev(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_29,plain,
    ! [T_a,V_x] :
      ( lhs_atom28(V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_rev__singleton__conv_1_0,def_lhs_atom28]) ).

fof(def_lhs_atom29,axiom,
    ! [V_x,T_a] :
      ( lhs_atom29(V_x,T_a)
    <=> c_List_Obutlast(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Olist_ONil(T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_30,plain,
    ! [T_a,V_x] :
      ( lhs_atom29(V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_butlast_Osimps_I2_J_0_0,def_lhs_atom29]) ).

fof(def_lhs_atom30,axiom,
    ! [V_x,T_a] :
      ( lhs_atom30(V_x,T_a)
    <=> c_List_Olast(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) = V_x ),
    inference(definition,[],]) ).

fof(to_be_clausified_31,plain,
    ! [T_a,V_x] :
      ( lhs_atom30(V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_last_Osimps_0_0,def_lhs_atom30]) ).

fof(def_lhs_atom31,axiom,
    ! [V_xs,V_x,V_n,T_a] :
      ( lhs_atom31(V_xs,V_x,V_n,T_a)
    <=> c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),V_xs,T_a),T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_32,plain,
    ! [T_a,V_n,V_x,V_xs] :
      ( lhs_atom31(V_xs,V_x,V_n,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_replicate__app__Cons__same_0_0,def_lhs_atom31]) ).

fof(def_lhs_atom32,axiom,
    ! [V_xs,T_a] :
      ( lhs_atom32(V_xs,T_a)
    <=> c_List_Obutlast(c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Obutlast(V_xs,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_33,plain,
    ! [T_a,V_xs] :
      ( lhs_atom32(V_xs,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_butlast__append_0_0,def_lhs_atom32]) ).

fof(def_lhs_atom33,axiom,
    ! [V_xs,T_a] :
      ( lhs_atom33(V_xs,T_a)
    <=> c_List_Olast(c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Olast(V_xs,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_34,plain,
    ! [T_a,V_xs] :
      ( lhs_atom33(V_xs,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_last__append_0_0,def_lhs_atom33]) ).

fof(def_lhs_atom34,axiom,
    ! [V_s,V_r] :
      ( lhs_atom34(V_s,V_r)
    <=> hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s) = c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ),
    inference(definition,[],]) ).

fof(to_be_clausified_35,plain,
    ! [V_r,V_s] :
      ( lhs_atom34(V_s,V_r)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_App__eq__foldl__conv_4_0,def_lhs_atom34]) ).

fof(def_lhs_atom35,axiom,
    ( lhs_atom35
  <=> hBOOL(hAPP(c_InductTermi_OIT,v_u____)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_36,plain,
    ( lhs_atom35
    | $false ),
    inference(fold_definition,[status(thm)],[cls_uIT_0_0,def_lhs_atom35]) ).

fof(def_lhs_atom36,axiom,
    ! [V_t,V_s,V_k] :
      ( lhs_atom36(V_t,V_s,V_k)
    <=> c_Lambda_Osubst(c_Lambda_Olift(V_t,V_k),V_s,V_k) = V_t ),
    inference(definition,[],]) ).

fof(to_be_clausified_37,plain,
    ! [V_k,V_s,V_t] :
      ( lhs_atom36(V_t,V_s,V_k)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_subst__lift_0_0,def_lhs_atom36]) ).

fof(def_lhs_atom37,axiom,
    ! [V_x,V_t,T_a] :
      ( lhs_atom37(V_x,V_t,T_a)
    <=> c_List_Olist_OCons(V_x,V_t,T_a) != V_t ),
    inference(definition,[],]) ).

fof(to_be_clausified_38,plain,
    ! [T_a,V_t,V_x] :
      ( lhs_atom37(V_x,V_t,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_not__Cons__self2_0_0,def_lhs_atom37]) ).

fof(def_lhs_atom38,axiom,
    ! [V_xs,V_x,T_a] :
      ( lhs_atom38(V_xs,V_x,T_a)
    <=> V_xs != c_List_Olist_OCons(V_x,V_xs,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_39,plain,
    ! [T_a,V_x,V_xs] :
      ( lhs_atom38(V_xs,V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_not__Cons__self_0_0,def_lhs_atom38]) ).

fof(def_lhs_atom39,axiom,
    ! [V_xs,V_x,T_a] :
      ( lhs_atom39(V_xs,V_x,T_a)
    <=> c_List_Olist_OCons(V_x,V_xs,T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_40,plain,
    ! [T_a,V_x,V_xs] :
      ( lhs_atom39(V_xs,V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Cons__eq__append__conv_4_0,def_lhs_atom39]) ).

fof(def_lhs_atom40,axiom,
    ! [T_a] :
      ( lhs_atom40(T_a)
    <=> c_List_Olist_ONil(T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_41,plain,
    ! [T_a] :
      ( lhs_atom40(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Nil__is__append__conv_2_0,def_lhs_atom40]) ).

fof(def_lhs_atom41,axiom,
    ! [V_t,V_ss,V_s,V_n] :
      ( lhs_atom41(V_t,V_ss,V_s,V_n)
    <=> hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_s)),V_t) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_ss,tc_Lambda_OdB,tc_Lambda_OdB) ),
    inference(definition,[],]) ).

fof(to_be_clausified_42,plain,
    ! [V_n,V_s,V_ss,V_t] :
      ( lhs_atom41(V_t,V_ss,V_s,V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Abs__App__neq__Var__apps_0_0,def_lhs_atom41]) ).

fof(def_lhs_atom42,axiom,
    ! [V_ys,V_xs,V_f,V_a,T_b,T_a] :
      ( lhs_atom42(V_ys,V_xs,V_f,V_a,T_b,T_a)
    <=> c_List_Ofoldl(V_f,V_a,c_List_Oappend(V_xs,V_ys,T_b),T_a,T_b) = c_List_Ofoldl(V_f,c_List_Ofoldl(V_f,V_a,V_xs,T_a,T_b),V_ys,T_a,T_b) ),
    inference(definition,[],]) ).

fof(to_be_clausified_43,plain,
    ! [T_a,T_b,V_a,V_f,V_xs,V_ys] :
      ( lhs_atom42(V_ys,V_xs,V_f,V_a,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_foldl__append_0_0,def_lhs_atom42]) ).

fof(def_lhs_atom43,axiom,
    ! [V_nat,V_f2,V_f1,T_a] :
      ( lhs_atom43(V_nat,V_f2,V_f1,T_a)
    <=> c_Type_Otype_Otype__case(V_f1,V_f2,c_Type_Otype_OAtom(V_nat),T_a) = hAPP(V_f1,V_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_44,plain,
    ! [T_a,V_f1,V_f2,V_nat] :
      ( lhs_atom43(V_nat,V_f2,V_f1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_type_Osimps_I5_J_0_0,def_lhs_atom43]) ).

fof(def_lhs_atom44,axiom,
    ( lhs_atom44
  <=> v_rs____ = c_List_Olist_OCons(v_a____,v_as____,tc_Lambda_OdB) ),
    inference(definition,[],]) ).

fof(to_be_clausified_45,plain,
    ( lhs_atom44
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Cons_0_0,def_lhs_atom44]) ).

fof(def_lhs_atom45,axiom,
    ! [V_m] :
      ( lhs_atom45(V_m)
    <=> c_Lambda_OdB_OVar(V_m) = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_m),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ),
    inference(definition,[],]) ).

fof(to_be_clausified_46,plain,
    ! [V_m] :
      ( lhs_atom45(V_m)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Var__eq__apps__conv_2_0,def_lhs_atom45]) ).

fof(def_lhs_atom46,axiom,
    ! [V_r] :
      ( lhs_atom46(V_r)
    <=> c_Lambda_OdB_OAbs(V_r) = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ),
    inference(definition,[],]) ).

fof(to_be_clausified_47,plain,
    ! [V_r] :
      ( lhs_atom46(V_r)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Abs__eq__apps__conv_2_0,def_lhs_atom46]) ).

fof(def_lhs_atom47,axiom,
    ! [V_r] :
      ( lhs_atom47(V_r)
    <=> c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) = c_Lambda_OdB_OAbs(V_r) ),
    inference(definition,[],]) ).

fof(to_be_clausified_48,plain,
    ! [V_r] :
      ( lhs_atom47(V_r)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_apps__eq__Abs__conv_2_0,def_lhs_atom47]) ).

fof(def_lhs_atom48,axiom,
    ! [V_xs,V_x,T_a] :
      ( lhs_atom48(V_xs,V_x,T_a)
    <=> c_List_Olast(c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),T_a) = V_x ),
    inference(definition,[],]) ).

fof(to_be_clausified_49,plain,
    ! [T_a,V_x,V_xs] :
      ( lhs_atom48(V_xs,V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_last__snoc_0_0,def_lhs_atom48]) ).

fof(def_lhs_atom49,axiom,
    ! [V_xs,V_x,T_a] :
      ( lhs_atom49(V_xs,V_x,T_a)
    <=> c_List_Obutlast(c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),T_a) = V_xs ),
    inference(definition,[],]) ).

fof(to_be_clausified_50,plain,
    ! [T_a,V_x,V_xs] :
      ( lhs_atom49(V_xs,V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_butlast__snoc_0_0,def_lhs_atom49]) ).

fof(def_lhs_atom50,axiom,
    ! [V_xs,V_x,T_a] :
      ( lhs_atom50(V_xs,V_x,T_a)
    <=> c_List_Orev(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Oappend(c_List_Orev(V_xs,T_a),c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_51,plain,
    ! [T_a,V_x,V_xs] :
      ( lhs_atom50(V_xs,V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_rev_Osimps_I2_J_0_0,def_lhs_atom50]) ).

fof(def_lhs_atom51,axiom,
    ! [V_ys,V_y,T_a] :
      ( lhs_atom51(V_ys,V_y,T_a)
    <=> c_List_Orev(c_List_Oappend(c_List_Orev(V_ys,T_a),c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a),T_a) = c_List_Olist_OCons(V_y,V_ys,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_52,plain,
    ! [T_a,V_y,V_ys] :
      ( lhs_atom51(V_ys,V_y,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_rev__eq__Cons__iff_1_0,def_lhs_atom51]) ).

fof(def_lhs_atom52,axiom,
    ! [V_xs,V_x,T_b] :
      ( lhs_atom52(V_xs,V_x,T_b)
    <=> c_List_Orotate1(c_List_Olist_OCons(V_x,V_xs,T_b),T_b) = c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_b),T_b),T_b) ),
    inference(definition,[],]) ).

fof(to_be_clausified_53,plain,
    ! [T_b,V_x,V_xs] :
      ( lhs_atom52(V_xs,V_x,T_b)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_rotate__simps_1_0,def_lhs_atom52]) ).

fof(def_lhs_atom53,axiom,
    ! [V_x,V_i,T_a] :
      ( lhs_atom53(V_x,V_i,T_a)
    <=> c_List_Oappend(c_List_Oreplicate(V_i,V_x,T_a),c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Oreplicate(V_i,V_x,T_a),T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_54,plain,
    ! [T_a,V_i,V_x] :
      ( lhs_atom53(V_x,V_i,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_replicate__append__same_0_0,def_lhs_atom53]) ).

fof(def_lhs_atom54,axiom,
    ! [T_a] :
      ( lhs_atom54(T_a)
    <=> ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(c_List_Olist_ONil(T_a),tc_List_Olist(T_a)),tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_55,plain,
    ! [T_a] :
      ( lhs_atom54(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_length__greater__0__conv_0_0,def_lhs_atom54]) ).

fof(def_lhs_atom55,axiom,
    ! [V_xs,V_x,T_a] :
      ( lhs_atom55(V_xs,V_x,T_a)
    <=> c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_ONil(T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_56,plain,
    ! [T_a,V_x,V_xs] :
      ( lhs_atom55(V_xs,V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_take__Cons_H_0_0,def_lhs_atom55]) ).

fof(def_lhs_atom56,axiom,
    ! [V_list_H,V_a_H,T_a] :
      ( lhs_atom56(V_list_H,V_a_H,T_a)
    <=> c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil(T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_57,plain,
    ! [T_a,V_a_H,V_list_H] :
      ( lhs_atom56(V_list_H,V_a_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_list_Osimps_I3_J_0_0,def_lhs_atom56]) ).

fof(def_lhs_atom57,axiom,
    ! [V_xa,V_x,T_a] :
      ( lhs_atom57(V_xa,V_x,T_a)
    <=> c_List_Olist_OCons(V_x,V_xa,T_a) != c_List_Olist_ONil(T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_58,plain,
    ! [T_a,V_x,V_xa] :
      ( lhs_atom57(V_xa,V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_neq__Nil__conv_1_0,def_lhs_atom57]) ).

fof(def_lhs_atom58,axiom,
    ! [V_zs,V_xs1,V_x,T_a] :
      ( lhs_atom58(V_zs,V_xs1,V_x,T_a)
    <=> c_List_Olist_OCons(V_x,c_List_Oappend(V_xs1,V_zs,T_a),T_a) = c_List_Oappend(c_List_Olist_OCons(V_x,V_xs1,T_a),V_zs,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_59,plain,
    ! [T_a,V_x,V_xs1,V_zs] :
      ( lhs_atom58(V_zs,V_xs1,V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Cons__eq__appendI_0_0,def_lhs_atom58]) ).

fof(def_lhs_atom59,axiom,
    ! [V_zs,V_xa,V_x,T_a] :
      ( lhs_atom59(V_zs,V_xa,V_x,T_a)
    <=> c_List_Olist_OCons(V_x,c_List_Oappend(V_xa,V_zs,T_a),T_a) = c_List_Oappend(c_List_Olist_OCons(V_x,V_xa,T_a),V_zs,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_60,plain,
    ! [T_a,V_x,V_xa,V_zs] :
      ( lhs_atom59(V_zs,V_xa,V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Cons__eq__append__conv_5_0,def_lhs_atom59]) ).

fof(def_lhs_atom60,axiom,
    ! [V_f3,V_f2,V_f1,V_dB2,V_dB1,T_a] :
      ( lhs_atom60(V_f3,V_f2,V_f1,V_dB2,V_dB1,T_a)
    <=> c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2),T_a) = hAPP(hAPP(hAPP(hAPP(V_f2,V_dB1),V_dB2),c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,V_dB1,T_a)),c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,V_dB2,T_a)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_61,plain,
    ! [T_a,V_dB1,V_dB2,V_f1,V_f2,V_f3] :
      ( lhs_atom60(V_f3,V_f2,V_f1,V_dB2,V_dB1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_dB_Orecs_I2_J_0_0,def_lhs_atom60]) ).

fof(def_lhs_atom61,axiom,
    ! [V_ys,V_xs,V_x,T_a] :
      ( lhs_atom61(V_ys,V_xs,V_x,T_a)
    <=> c_List_Oappend(c_List_Olist_OCons(V_x,V_xs,T_a),V_ys,T_a) = c_List_Olist_OCons(V_x,c_List_Oappend(V_xs,V_ys,T_a),T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_62,plain,
    ! [T_a,V_x,V_xs,V_ys] :
      ( lhs_atom61(V_ys,V_xs,V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_append__Cons_0_0,def_lhs_atom61]) ).

fof(def_lhs_atom62,axiom,
    ! [V_zs,V_xa,V_x,T_a] :
      ( lhs_atom62(V_zs,V_xa,V_x,T_a)
    <=> c_List_Oappend(c_List_Olist_OCons(V_x,V_xa,T_a),V_zs,T_a) = c_List_Olist_OCons(V_x,c_List_Oappend(V_xa,V_zs,T_a),T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_63,plain,
    ! [T_a,V_x,V_xa,V_zs] :
      ( lhs_atom62(V_zs,V_xa,V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_append__eq__Cons__conv_5_0,def_lhs_atom62]) ).

fof(def_lhs_atom63,axiom,
    ! [V_xs,V_x,V_f,V_a,T_b,T_a] :
      ( lhs_atom63(V_xs,V_x,V_f,V_a,T_b,T_a)
    <=> c_List_Ofoldl(V_f,V_a,c_List_Olist_OCons(V_x,V_xs,T_b),T_a,T_b) = c_List_Ofoldl(V_f,hAPP(hAPP(V_f,V_a),V_x),V_xs,T_a,T_b) ),
    inference(definition,[],]) ).

fof(to_be_clausified_64,plain,
    ! [T_a,T_b,V_a,V_f,V_x,V_xs] :
      ( lhs_atom63(V_xs,V_x,V_f,V_a,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_foldl__Cons_0_0,def_lhs_atom63]) ).

fof(def_lhs_atom64,axiom,
    ! [V_n] :
      ( lhs_atom64(V_n)
    <=> ~ c_HOL_Oord__class_Oless(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_65,plain,
    ! [V_n] :
      ( lhs_atom64(V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_not__less0_0_0,def_lhs_atom64]) ).

fof(def_lhs_atom65,axiom,
    ! [V_m] :
      ( lhs_atom65(V_m)
    <=> ~ c_HOL_Oord__class_Oless(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_66,plain,
    ! [V_m] :
      ( lhs_atom65(V_m)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_gr__implies__not0_0_0,def_lhs_atom65]) ).

fof(def_lhs_atom66,axiom,
    ! [V_f3,V_f2,V_f1,V_dB2,V_dB1,T_a] :
      ( lhs_atom66(V_f3,V_f2,V_f1,V_dB2,V_dB1,T_a)
    <=> c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2),T_a) = hAPP(hAPP(V_f2,V_dB1),V_dB2) ),
    inference(definition,[],]) ).

fof(to_be_clausified_67,plain,
    ! [T_a,V_dB1,V_dB2,V_f1,V_f2,V_f3] :
      ( lhs_atom66(V_f3,V_f2,V_f1,V_dB2,V_dB1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_dB_Osimps_I11_J_0_0,def_lhs_atom66]) ).

fof(def_lhs_atom67,axiom,
    ( lhs_atom67
  <=> hBOOL(hAPP(c_InductTermi_OIT,v_ua______)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_68,plain,
    ( lhs_atom67
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Var_I3_J_0_0,def_lhs_atom67]) ).

fof(def_lhs_atom68,axiom,
    ! [V_f3,V_f2,V_f1,V_dB,T_a] :
      ( lhs_atom68(V_f3,V_f2,V_f1,V_dB,T_a)
    <=> c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_dB),T_a) = hAPP(V_f3,V_dB) ),
    inference(definition,[],]) ).

fof(to_be_clausified_69,plain,
    ! [T_a,V_dB,V_f1,V_f2,V_f3] :
      ( lhs_atom68(V_f3,V_f2,V_f1,V_dB,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_dB_Osimps_I12_J_0_0,def_lhs_atom68]) ).

fof(def_lhs_atom69,axiom,
    ! [V_xs,T_a] :
      ( lhs_atom69(V_xs,T_a)
    <=> c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) = V_xs ),
    inference(definition,[],]) ).

fof(to_be_clausified_70,plain,
    ! [T_a,V_xs] :
      ( lhs_atom69(V_xs,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_append__Nil2_0_0,def_lhs_atom69]) ).

fof(def_lhs_atom70,axiom,
    ! [V_x,T_a] :
      ( lhs_atom70(V_x,T_a)
    <=> c_List_Oappend(c_List_Olist_ONil(T_a),V_x,T_a) = V_x ),
    inference(definition,[],]) ).

fof(to_be_clausified_71,plain,
    ! [T_a,V_x] :
      ( lhs_atom70(V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_eq__Nil__appendI_0_0,def_lhs_atom70]) ).

fof(to_be_clausified_72,plain,
    ! [T_a,V_xs] :
      ( lhs_atom69(V_xs,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_self__append__conv_1_0,def_lhs_atom69]) ).

fof(def_lhs_atom71,axiom,
    ! [V_ys,T_a] :
      ( lhs_atom71(V_ys,T_a)
    <=> c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) = V_ys ),
    inference(definition,[],]) ).

fof(to_be_clausified_73,plain,
    ! [T_a,V_ys] :
      ( lhs_atom71(V_ys,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_append__Nil_0_0,def_lhs_atom71]) ).

fof(to_be_clausified_74,plain,
    ! [T_a,V_ys] :
      ( lhs_atom71(V_ys,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_self__append__conv2_1_0,def_lhs_atom71]) ).

fof(def_lhs_atom72,axiom,
    ! [V_t,V_s,V_k] :
      ( lhs_atom72(V_t,V_s,V_k)
    <=> c_Lambda_Olift(hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t),V_k) = hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Olift(V_s,V_k)),c_Lambda_Olift(V_t,V_k)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_75,plain,
    ! [V_k,V_s,V_t] :
      ( lhs_atom72(V_t,V_s,V_k)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_lift_Osimps_I2_J_0_0,def_lhs_atom72]) ).

fof(def_lhs_atom73,axiom,
    ! [V_f,V_a,T_b,T_a] :
      ( lhs_atom73(V_f,V_a,T_b,T_a)
    <=> c_List_Ofoldl(V_f,V_a,c_List_Olist_ONil(T_b),T_a,T_b) = V_a ),
    inference(definition,[],]) ).

fof(to_be_clausified_76,plain,
    ! [T_a,T_b,V_a,V_f] :
      ( lhs_atom73(V_f,V_a,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_foldl__Nil_0_0,def_lhs_atom73]) ).

fof(def_lhs_atom74,axiom,
    ! [V_ts,V_ss,V_r,V_n] :
      ( lhs_atom74(V_ts,V_ss,V_r,V_n)
    <=> c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_ts,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),V_ss,tc_Lambda_OdB,tc_Lambda_OdB) ),
    inference(definition,[],]) ).

fof(to_be_clausified_77,plain,
    ! [V_n,V_r,V_ss,V_ts] :
      ( lhs_atom74(V_ts,V_ss,V_r,V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Var__apps__neq__Abs__apps_0_0,def_lhs_atom74]) ).

fof(def_lhs_atom75,axiom,
    ! [V_nat,V_f2,V_f1,T_a] :
      ( lhs_atom75(V_nat,V_f2,V_f1,T_a)
    <=> c_Type_Otype_Otype__rec(V_f1,V_f2,c_Type_Otype_OAtom(V_nat),T_a) = hAPP(V_f1,V_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_78,plain,
    ! [T_a,V_f1,V_f2,V_nat] :
      ( lhs_atom75(V_nat,V_f2,V_f1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_type_Orecs_I1_J_0_0,def_lhs_atom75]) ).

fof(def_lhs_atom76,axiom,
    ! [V_x] :
      ( lhs_atom76(V_x)
    <=> ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_79,plain,
    ! [V_x] :
      ( lhs_atom76(V_x)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_nat__less__le_1_0,def_lhs_atom76]) ).

fof(def_lhs_atom77,axiom,
    ! [V_n] :
      ( lhs_atom77(V_n)
    <=> ~ c_HOL_Oord__class_Oless(V_n,V_n,tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_80,plain,
    ! [V_n] :
      ( lhs_atom77(V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_less__not__refl_0_0,def_lhs_atom77]) ).

fof(def_lhs_atom78,axiom,
    ! [V_t,V_s] :
      ( lhs_atom78(V_t,V_s)
    <=> hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_s)),V_t)),c_Lambda_Osubst(V_s,V_t,c_HOL_Ozero__class_Ozero(tc_nat)))) ),
    inference(definition,[],]) ).

fof(to_be_clausified_81,plain,
    ! [V_s,V_t] :
      ( lhs_atom78(V_t,V_s)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_beta_0_0,def_lhs_atom78]) ).

fof(def_lhs_atom79,axiom,
    ! [V_list_H,V_a_H,T_a] :
      ( lhs_atom79(V_list_H,V_a_H,T_a)
    <=> c_List_Olist_ONil(T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_82,plain,
    ! [T_a,V_a_H,V_list_H] :
      ( lhs_atom79(V_list_H,V_a_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_list_Osimps_I2_J_0_0,def_lhs_atom79]) ).

fof(def_lhs_atom80,axiom,
    ! [V_f3,V_f2,V_f1,V_dB,T_a] :
      ( lhs_atom80(V_f3,V_f2,V_f1,V_dB,T_a)
    <=> c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_dB),T_a) = hAPP(hAPP(V_f3,V_dB),c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,V_dB,T_a)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_83,plain,
    ! [T_a,V_dB,V_f1,V_f2,V_f3] :
      ( lhs_atom80(V_f3,V_f2,V_f1,V_dB,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_dB_Orecs_I3_J_0_0,def_lhs_atom80]) ).

fof(def_lhs_atom81,axiom,
    ( lhs_atom81
  <=> ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_84,plain,
    ( lhs_atom81
    | $false ),
    inference(fold_definition,[status(thm)],[cls_neq0__conv_1_0,def_lhs_atom81]) ).

fof(def_lhs_atom82,axiom,
    ! [V_xs,V_x,T_a] :
      ( lhs_atom82(V_xs,V_x,T_a)
    <=> c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,V_xs,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_85,plain,
    ! [T_a,V_x,V_xs] :
      ( lhs_atom82(V_xs,V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_append__eq__Cons__conv_4_0,def_lhs_atom82]) ).

fof(def_lhs_atom83,axiom,
    ! [V_dB_H,V_dB2,V_dB1] :
      ( lhs_atom83(V_dB_H,V_dB2,V_dB1)
    <=> c_Lambda_OdB_OAbs(V_dB_H) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) ),
    inference(definition,[],]) ).

fof(to_be_clausified_86,plain,
    ! [V_dB1,V_dB2,V_dB_H] :
      ( lhs_atom83(V_dB_H,V_dB2,V_dB1)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_dB_Osimps_I9_J_0_0,def_lhs_atom83]) ).

fof(def_lhs_atom84,axiom,
    ! [V_dB_H,V_dB2,V_dB1] :
      ( lhs_atom84(V_dB_H,V_dB2,V_dB1)
    <=> hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != c_Lambda_OdB_OAbs(V_dB_H) ),
    inference(definition,[],]) ).

fof(to_be_clausified_87,plain,
    ! [V_dB1,V_dB2,V_dB_H] :
      ( lhs_atom84(V_dB_H,V_dB2,V_dB1)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_dB_Osimps_I8_J_0_0,def_lhs_atom84]) ).

fof(def_lhs_atom85,axiom,
    ! [V_u,V_t,V_s,V_k] :
      ( lhs_atom85(V_u,V_t,V_s,V_k)
    <=> c_Lambda_Osubst(hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u),V_s,V_k) = hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Osubst(V_t,V_s,V_k)),c_Lambda_Osubst(V_u,V_s,V_k)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_88,plain,
    ! [V_k,V_s,V_t,V_u] :
      ( lhs_atom85(V_u,V_t,V_s,V_k)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_subst__App_0_0,def_lhs_atom85]) ).

fof(def_lhs_atom86,axiom,
    ! [T_a] :
      ( lhs_atom86(T_a)
    <=> c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_89,plain,
    ! [T_a] :
      ( lhs_atom86(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_append__is__Nil__conv_2_0,def_lhs_atom86]) ).

fof(def_lhs_atom87,axiom,
    ! [V_zs,V_ys,V_xs,T_a] :
      ( lhs_atom87(V_zs,V_ys,V_xs,T_a)
    <=> c_List_Oappend(c_List_Oappend(V_xs,V_ys,T_a),V_zs,T_a) = c_List_Oappend(V_xs,c_List_Oappend(V_ys,V_zs,T_a),T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_90,plain,
    ! [T_a,V_xs,V_ys,V_zs] :
      ( lhs_atom87(V_zs,V_ys,V_xs,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_append__assoc_0_0,def_lhs_atom87]) ).

fof(def_lhs_atom88,axiom,
    ! [V_xs1,V_xs,V_us,T_a] :
      ( lhs_atom88(V_xs1,V_xs,V_us,T_a)
    <=> c_List_Oappend(V_xs,c_List_Oappend(V_xs1,V_us,T_a),T_a) = c_List_Oappend(c_List_Oappend(V_xs,V_xs1,T_a),V_us,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_91,plain,
    ! [T_a,V_us,V_xs,V_xs1] :
      ( lhs_atom88(V_xs1,V_xs,V_us,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_append__eq__appendI_0_0,def_lhs_atom88]) ).

fof(def_lhs_atom89,axiom,
    ! [V_zs,V_ys,V_x,T_a] :
      ( lhs_atom89(V_zs,V_ys,V_x,T_a)
    <=> c_List_Oappend(c_List_Oappend(V_zs,V_x,T_a),V_ys,T_a) = c_List_Oappend(V_zs,c_List_Oappend(V_x,V_ys,T_a),T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_92,plain,
    ! [T_a,V_x,V_ys,V_zs] :
      ( lhs_atom89(V_zs,V_ys,V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_append__eq__append__conv2_4_0,def_lhs_atom89]) ).

fof(def_lhs_atom90,axiom,
    ! [V_xs,V_x,V_ts,T_a] :
      ( lhs_atom90(V_xs,V_x,V_ts,T_a)
    <=> c_List_Oappend(V_xs,c_List_Oappend(V_x,V_ts,T_a),T_a) = c_List_Oappend(c_List_Oappend(V_xs,V_x,T_a),V_ts,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_93,plain,
    ! [T_a,V_ts,V_x,V_xs] :
      ( lhs_atom90(V_xs,V_x,V_ts,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_append__eq__append__conv2_5_0,def_lhs_atom90]) ).

fof(def_lhs_atom91,axiom,
    ! [V_type2_H,V_type1_H,V_nat] :
      ( lhs_atom91(V_type2_H,V_type1_H,V_nat)
    <=> hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H) != c_Type_Otype_OAtom(V_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_94,plain,
    ! [V_nat,V_type1_H,V_type2_H] :
      ( lhs_atom91(V_type2_H,V_type1_H,V_nat)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_type_Osimps_I4_J_0_0,def_lhs_atom91]) ).

fof(def_lhs_atom92,axiom,
    ( lhs_atom92
  <=> c_Type_Otyping(v_e____,v_u____,v_T____) ),
    inference(definition,[],]) ).

fof(to_be_clausified_95,plain,
    ( lhs_atom92
    | $false ),
    inference(fold_definition,[status(thm)],[cls_uT_0_0,def_lhs_atom92]) ).

fof(def_lhs_atom93,axiom,
    ! [V_nat,V_dB_H] :
      ( lhs_atom93(V_nat,V_dB_H)
    <=> c_Lambda_OdB_OAbs(V_dB_H) != c_Lambda_OdB_OVar(V_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_96,plain,
    ! [V_dB_H,V_nat] :
      ( lhs_atom93(V_nat,V_dB_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_dB_Osimps_I7_J_0_0,def_lhs_atom93]) ).

fof(def_lhs_atom94,axiom,
    ! [V_u,V_k] :
      ( lhs_atom94(V_u,V_k)
    <=> c_Lambda_Osubst(c_Lambda_OdB_OVar(V_k),V_u,V_k) = V_u ),
    inference(definition,[],]) ).

fof(to_be_clausified_97,plain,
    ! [V_k,V_u] :
      ( lhs_atom94(V_u,V_k)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_subst__eq_0_0,def_lhs_atom94]) ).

fof(def_lhs_atom95,axiom,
    ! [V_xs,V_x,V_f,V_a,T_b,T_a] :
      ( lhs_atom95(V_xs,V_x,V_f,V_a,T_b,T_a)
    <=> c_List_Ofoldr(V_f,c_List_Olist_OCons(V_x,V_xs,T_b),V_a,T_b,T_a) = hAPP(hAPP(V_f,V_x),c_List_Ofoldr(V_f,V_xs,V_a,T_b,T_a)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_98,plain,
    ! [T_a,T_b,V_a,V_f,V_x,V_xs] :
      ( lhs_atom95(V_xs,V_x,V_f,V_a,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_foldr_Osimps_I2_J_0_0,def_lhs_atom95]) ).

fof(def_lhs_atom96,axiom,
    ! [V_t,V_i] :
      ( lhs_atom96(V_t,V_i)
    <=> ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OVar(V_i)),V_t)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_99,plain,
    ! [V_i,V_t] :
      ( lhs_atom96(V_t,V_i)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_beta__cases_I1_J_0_0,def_lhs_atom96]) ).

fof(def_lhs_atom97,axiom,
    ! [V_nat,V_f3,V_f2,V_f1,T_a] :
      ( lhs_atom97(V_nat,V_f3,V_f2,V_f1,T_a)
    <=> c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_nat),T_a) = hAPP(V_f1,V_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_100,plain,
    ! [T_a,V_f1,V_f2,V_f3,V_nat] :
      ( lhs_atom97(V_nat,V_f3,V_f2,V_f1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_dB_Orecs_I1_J_0_0,def_lhs_atom97]) ).

fof(def_lhs_atom98,axiom,
    ! [V_nat,V_dB2_H,V_dB1_H] :
      ( lhs_atom98(V_nat,V_dB2_H,V_dB1_H)
    <=> c_Lambda_OdB_OVar(V_nat) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) ),
    inference(definition,[],]) ).

fof(to_be_clausified_101,plain,
    ! [V_dB1_H,V_dB2_H,V_nat] :
      ( lhs_atom98(V_nat,V_dB2_H,V_dB1_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_dB_Osimps_I4_J_0_0,def_lhs_atom98]) ).

fof(def_lhs_atom99,axiom,
    ! [V_x,V_e,V_T,T_a] :
      ( lhs_atom99(V_x,V_e,V_T,T_a)
    <=> hAPP(c_Type_Oshift(V_e,V_x,V_T,T_a),V_x) = V_T ),
    inference(definition,[],]) ).

fof(to_be_clausified_102,plain,
    ! [T_a,V_T,V_e,V_x] :
      ( lhs_atom99(V_x,V_e,V_T,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_shift__eq_0_0,def_lhs_atom99]) ).

fof(def_lhs_atom100,axiom,
    ( lhs_atom100
  <=> v_n____ = v_i____ ),
    inference(definition,[],]) ).

fof(to_be_clausified_103,plain,
    ( lhs_atom100
    | $false ),
    inference(fold_definition,[status(thm)],[cls_True_0_0,def_lhs_atom100]) ).

fof(def_lhs_atom101,axiom,
    ! [V_nat,V_dB_H] :
      ( lhs_atom101(V_nat,V_dB_H)
    <=> c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OAbs(V_dB_H) ),
    inference(definition,[],]) ).

fof(to_be_clausified_104,plain,
    ! [V_dB_H,V_nat] :
      ( lhs_atom101(V_nat,V_dB_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_dB_Osimps_I6_J_0_0,def_lhs_atom101]) ).

fof(def_lhs_atom102,axiom,
    ! [V_n] :
      ( lhs_atom102(V_n)
    <=> hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(V_n))) ),
    inference(definition,[],]) ).

fof(to_be_clausified_105,plain,
    ! [V_n] :
      ( lhs_atom102(V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Var__IT_0_0,def_lhs_atom102]) ).

fof(def_lhs_atom103,axiom,
    ! [V_ys,V_xs,V_f,V_a,T_b,T_a] :
      ( lhs_atom103(V_ys,V_xs,V_f,V_a,T_b,T_a)
    <=> c_List_Ofoldr(V_f,c_List_Oappend(V_xs,V_ys,T_b),V_a,T_b,T_a) = c_List_Ofoldr(V_f,V_xs,c_List_Ofoldr(V_f,V_ys,V_a,T_b,T_a),T_b,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_106,plain,
    ! [T_a,T_b,V_a,V_f,V_xs,V_ys] :
      ( lhs_atom103(V_ys,V_xs,V_f,V_a,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_foldr__append_0_0,def_lhs_atom103]) ).

fof(def_lhs_atom104,axiom,
    ( lhs_atom104
  <=> c_Type_Otyping(c_Type_Oshift(v_ea______,v_ia______,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_Ha______) ),
    inference(definition,[],]) ).

fof(to_be_clausified_107,plain,
    ( lhs_atom104
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Var_I2_J_0_0,def_lhs_atom104]) ).

fof(def_lhs_atom105,axiom,
    ( lhs_atom105
  <=> c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_108,plain,
    ( lhs_atom105
    | $false ),
    inference(fold_definition,[status(thm)],[cls_headT_0_0,def_lhs_atom105]) ).

fof(def_lhs_atom106,axiom,
    ( lhs_atom106
  <=> c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_as____,v_Ts____) ),
    inference(definition,[],]) ).

fof(to_be_clausified_109,plain,
    ( lhs_atom106
    | $false ),
    inference(fold_definition,[status(thm)],[cls_argsT_0_0,def_lhs_atom106]) ).

fof(def_lhs_atom107,axiom,
    ( lhs_atom107
  <=> c_Type_Otyping(v_ea______,v_ua______,v_T____) ),
    inference(definition,[],]) ).

fof(to_be_clausified_110,plain,
    ( lhs_atom107
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Var_I4_J_0_0,def_lhs_atom107]) ).

fof(def_lhs_atom108,axiom,
    ( lhs_atom108
  <=> c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____) ),
    inference(definition,[],]) ).

fof(to_be_clausified_111,plain,
    ( lhs_atom108
    | $false ),
    inference(fold_definition,[status(thm)],[cls_nT_0_0,def_lhs_atom108]) ).

fof(def_lhs_atom109,axiom,
    ! [V_nat,V_f3,V_f2,V_f1,T_a] :
      ( lhs_atom109(V_nat,V_f3,V_f2,V_f1,T_a)
    <=> c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_nat),T_a) = hAPP(V_f1,V_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_112,plain,
    ! [T_a,V_f1,V_f2,V_f3,V_nat] :
      ( lhs_atom109(V_nat,V_f3,V_f2,V_f1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_dB_Osimps_I10_J_0_0,def_lhs_atom109]) ).

fof(def_lhs_atom110,axiom,
    ! [V_f,V_a,T_b,T_a] :
      ( lhs_atom110(V_f,V_a,T_b,T_a)
    <=> c_List_Ofoldr(V_f,c_List_Olist_ONil(T_b),V_a,T_b,T_a) = V_a ),
    inference(definition,[],]) ).

fof(to_be_clausified_113,plain,
    ! [T_a,T_b,V_a,V_f] :
      ( lhs_atom110(V_f,V_a,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_foldr_Osimps_I1_J_0_0,def_lhs_atom110]) ).

fof(def_lhs_atom111,axiom,
    ! [V_type2,V_type1,V_f2,V_f1,T_a] :
      ( lhs_atom111(V_type2,V_type1,V_f2,V_f1,T_a)
    <=> c_Type_Otype_Otype__rec(V_f1,V_f2,hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2),T_a) = hAPP(hAPP(hAPP(hAPP(V_f2,V_type1),V_type2),c_Type_Otype_Otype__rec(V_f1,V_f2,V_type1,T_a)),c_Type_Otype_Otype__rec(V_f1,V_f2,V_type2,T_a)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_114,plain,
    ! [T_a,V_f1,V_f2,V_type1,V_type2] :
      ( lhs_atom111(V_type2,V_type1,V_f2,V_f1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_type_Orecs_I2_J_0_0,def_lhs_atom111]) ).

fof(def_lhs_atom112,axiom,
    ! [V_type2,V_type1,V_f2,V_f1,T_a] :
      ( lhs_atom112(V_type2,V_type1,V_f2,V_f1,T_a)
    <=> c_Type_Otype_Otype__case(V_f1,V_f2,hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2),T_a) = hAPP(hAPP(V_f2,V_type1),V_type2) ),
    inference(definition,[],]) ).

fof(to_be_clausified_115,plain,
    ! [T_a,V_f1,V_f2,V_type1,V_type2] :
      ( lhs_atom112(V_type2,V_type1,V_f2,V_f1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_type_Osimps_I6_J_0_0,def_lhs_atom112]) ).

fof(def_lhs_atom113,axiom,
    ! [V_x,V_env] :
      ( lhs_atom113(V_x,V_env)
    <=> c_Type_Otyping(V_env,c_Lambda_OdB_OVar(V_x),hAPP(V_env,V_x)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_116,plain,
    ! [V_env,V_x] :
      ( lhs_atom113(V_x,V_env)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_typing_OVar_0_0,def_lhs_atom113]) ).

fof(def_lhs_atom114,axiom,
    ! [V_type2_H,V_type1_H,V_nat] :
      ( lhs_atom114(V_type2_H,V_type1_H,V_nat)
    <=> c_Type_Otype_OAtom(V_nat) != hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H) ),
    inference(definition,[],]) ).

fof(to_be_clausified_117,plain,
    ! [V_nat,V_type1_H,V_type2_H] :
      ( lhs_atom114(V_type2_H,V_type1_H,V_nat)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_type_Osimps_I3_J_0_0,def_lhs_atom114]) ).

fof(def_lhs_atom115,axiom,
    ! [V_nat,V_dB2_H,V_dB1_H] :
      ( lhs_atom115(V_nat,V_dB2_H,V_dB1_H)
    <=> hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) != c_Lambda_OdB_OVar(V_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_118,plain,
    ! [V_dB1_H,V_dB2_H,V_nat] :
      ( lhs_atom115(V_nat,V_dB2_H,V_dB1_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_dB_Osimps_I5_J_0_0,def_lhs_atom115]) ).

fof(to_be_clausified_119,plain,
    ( lhs_atom105
    | $false ),
    inference(fold_definition,[status(thm)],[cls_CHAINED_0_0,def_lhs_atom105]) ).

fof(def_lhs_atom116,axiom,
    ( lhs_atom116
  <=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_120,plain,
    ( lhs_atom116
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add_0,def_lhs_atom116]) ).

fof(def_lhs_atom117,axiom,
    ( lhs_atom117
  <=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_121,plain,
    ( lhs_atom117
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le_0,def_lhs_atom117]) ).

fof(def_lhs_atom118,axiom,
    ( lhs_atom118
  <=> class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_122,plain,
    ( lhs_atom118
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__OrderedGroup_Opordered__comm__monoid__add_0,def_lhs_atom118]) ).

fof(def_lhs_atom119,axiom,
    ( lhs_atom119
  <=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_123,plain,
    ( lhs_atom119
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add_0,def_lhs_atom119]) ).

fof(def_lhs_atom120,axiom,
    ( lhs_atom120
  <=> class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_124,plain,
    ( lhs_atom120
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__OrderedGroup_Ocancel__semigroup__add_0,def_lhs_atom120]) ).

fof(def_lhs_atom121,axiom,
    ( lhs_atom121
  <=> class_Ring__and__Field_Oordered__semidom(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_125,plain,
    ( lhs_atom121
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Ring__and__Field_Oordered__semidom_0,def_lhs_atom121]) ).

fof(def_lhs_atom122,axiom,
    ( lhs_atom122
  <=> class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_126,plain,
    ( lhs_atom122
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Ring__and__Field_Ocomm__semiring__1_0,def_lhs_atom122]) ).

fof(def_lhs_atom123,axiom,
    ( lhs_atom123
  <=> class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_127,plain,
    ( lhs_atom123
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__OrderedGroup_Oab__semigroup__add_0,def_lhs_atom123]) ).

fof(def_lhs_atom124,axiom,
    ( lhs_atom124
  <=> class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_128,plain,
    ( lhs_atom124
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__OrderedGroup_Ocomm__monoid__add_0,def_lhs_atom124]) ).

fof(def_lhs_atom125,axiom,
    ( lhs_atom125
  <=> class_OrderedGroup_Osemigroup__add(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_129,plain,
    ( lhs_atom125
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__OrderedGroup_Osemigroup__add_0,def_lhs_atom125]) ).

fof(def_lhs_atom126,axiom,
    ( lhs_atom126
  <=> class_Ring__and__Field_Osemiring__1(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_130,plain,
    ( lhs_atom126
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Ring__and__Field_Osemiring__1_0,def_lhs_atom126]) ).

fof(def_lhs_atom127,axiom,
    ( lhs_atom127
  <=> class_OrderedGroup_Omonoid__add(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_131,plain,
    ( lhs_atom127
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__OrderedGroup_Omonoid__add_0,def_lhs_atom127]) ).

fof(def_lhs_atom128,axiom,
    ( lhs_atom128
  <=> class_Nat_Osemiring__char__0(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_132,plain,
    ( lhs_atom128
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Nat_Osemiring__char__0_0,def_lhs_atom128]) ).

fof(def_lhs_atom129,axiom,
    ( lhs_atom129
  <=> class_Orderings_Opreorder(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_133,plain,
    ( lhs_atom129
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Orderings_Opreorder_0,def_lhs_atom129]) ).

fof(def_lhs_atom130,axiom,
    ( lhs_atom130
  <=> class_Orderings_Olinorder(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_134,plain,
    ( lhs_atom130
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Orderings_Olinorder_0,def_lhs_atom130]) ).

fof(def_lhs_atom131,axiom,
    ( lhs_atom131
  <=> class_Orderings_Oorder(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_135,plain,
    ( lhs_atom131
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Orderings_Oorder_0,def_lhs_atom131]) ).

fof(def_lhs_atom132,axiom,
    ( lhs_atom132
  <=> class_Orderings_Opreorder(tc_bool) ),
    inference(definition,[],]) ).

fof(to_be_clausified_136,plain,
    ( lhs_atom132
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__Orderings_Opreorder_0,def_lhs_atom132]) ).

fof(def_lhs_atom133,axiom,
    ( lhs_atom133
  <=> class_Orderings_Oorder(tc_bool) ),
    inference(definition,[],]) ).

fof(to_be_clausified_137,plain,
    ( lhs_atom133
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__Orderings_Oorder_0,def_lhs_atom133]) ).

fof(def_lhs_atom134,axiom,
    ! [V_x,T_a] :
      ( lhs_atom134(V_x,T_a)
    <=> hBOOL(hAPP(hAPP(c_fequal(T_a),V_x),V_x)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_138,plain,
    ! [T_a,V_x] :
      ( lhs_atom134(V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_ATP__Linkup_Oequal__imp__fequal_0_0,def_lhs_atom134]) ).

% Start CNF derivation
fof(c_0_0,axiom,
    ! [X7,X8,X15,X4,X11,X3] :
      ( lhs_atom103(X7,X8,X15,X4,X11,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_106) ).

fof(c_0_1,axiom,
    ! [X8,X1,X15,X4,X11,X3] :
      ( lhs_atom95(X8,X1,X15,X4,X11,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_98) ).

fof(c_0_2,axiom,
    ! [X26,X17,X18,X27,X28,X3] :
      ( lhs_atom66(X26,X17,X18,X27,X28,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_67) ).

fof(c_0_3,axiom,
    ! [X8,X1,X15,X4,X11,X3] :
      ( lhs_atom63(X8,X1,X15,X4,X11,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_64) ).

fof(c_0_4,axiom,
    ! [X26,X17,X18,X27,X28,X3] :
      ( lhs_atom60(X26,X17,X18,X27,X28,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_61) ).

fof(c_0_5,axiom,
    ! [X7,X8,X15,X4,X11,X3] :
      ( lhs_atom42(X7,X8,X15,X4,X11,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_43) ).

fof(c_0_6,axiom,
    ! [X40,X41,X17,X18,X3] :
      ( lhs_atom112(X40,X41,X17,X18,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_115) ).

fof(c_0_7,axiom,
    ! [X40,X41,X17,X18,X3] :
      ( lhs_atom111(X40,X41,X17,X18,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_114) ).

fof(c_0_8,axiom,
    ! [X16,X26,X17,X18,X3] :
      ( lhs_atom109(X16,X26,X17,X18,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_112) ).

fof(c_0_9,axiom,
    ! [X16,X26,X17,X18,X3] :
      ( lhs_atom97(X16,X26,X17,X18,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_100) ).

fof(c_0_10,axiom,
    ! [X26,X17,X18,X29,X3] :
      ( lhs_atom80(X26,X17,X18,X29,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_83) ).

fof(c_0_11,axiom,
    ! [X26,X17,X18,X29,X3] :
      ( lhs_atom68(X26,X17,X18,X29,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_69) ).

fof(c_0_12,axiom,
    ! [X15,X4,X11,X3] :
      ( lhs_atom110(X15,X4,X11,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_113) ).

fof(c_0_13,axiom,
    ! [X1,X38,X39,X3] :
      ( lhs_atom99(X1,X38,X39,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_102) ).

fof(c_0_14,axiom,
    ! [X8,X1,X30,X3] :
      ( lhs_atom90(X8,X1,X30,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_93) ).

fof(c_0_15,axiom,
    ! [X24,X7,X1,X3] :
      ( lhs_atom89(X24,X7,X1,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_92) ).

fof(c_0_16,axiom,
    ! [X25,X8,X33,X3] :
      ( lhs_atom88(X25,X8,X33,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_91) ).

fof(c_0_17,axiom,
    ! [X24,X7,X8,X3] :
      ( lhs_atom87(X24,X7,X8,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_90) ).

fof(c_0_18,axiom,
    ! [X32,X13,X12,X10] :
      ( lhs_atom85(X32,X13,X12,X10)
      | ~ $true ),
    file('<stdin>',to_be_clausified_88) ).

fof(c_0_19,axiom,
    ! [X16,X17,X18,X3] :
      ( lhs_atom75(X16,X17,X18,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_78) ).

fof(c_0_20,axiom,
    ! [X30,X14,X2,X9] :
      ( lhs_atom74(X30,X14,X2,X9)
      | ~ $true ),
    file('<stdin>',to_be_clausified_77) ).

fof(c_0_21,axiom,
    ! [X15,X4,X11,X3] :
      ( lhs_atom73(X15,X4,X11,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_76) ).

fof(c_0_22,axiom,
    ! [X24,X23,X1,X3] :
      ( lhs_atom62(X24,X23,X1,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_63) ).

fof(c_0_23,axiom,
    ! [X7,X8,X1,X3] :
      ( lhs_atom61(X7,X8,X1,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_62) ).

fof(c_0_24,axiom,
    ! [X24,X23,X1,X3] :
      ( lhs_atom59(X24,X23,X1,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_60) ).

fof(c_0_25,axiom,
    ! [X24,X25,X1,X3] :
      ( lhs_atom58(X24,X25,X1,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_59) ).

fof(c_0_26,axiom,
    ! [X16,X17,X18,X3] :
      ( lhs_atom43(X16,X17,X18,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_44) ).

fof(c_0_27,axiom,
    ! [X13,X14,X12,X9] :
      ( lhs_atom41(X13,X14,X12,X9)
      | ~ $true ),
    file('<stdin>',to_be_clausified_42) ).

fof(c_0_28,axiom,
    ! [X8,X1,X9,X3] :
      ( lhs_atom31(X8,X1,X9,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_32) ).

fof(c_0_29,axiom,
    ! [X1,X9,X10,X3] :
      ( lhs_atom18(X1,X9,X10,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_18) ).

fof(c_0_30,axiom,
    ! [X6,X1,X3] :
      ( lhs_atom5(X6,X1,X3)
      | c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X1,X3) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X6,X3) ),
    file('<stdin>',to_be_clausified_4) ).

fof(c_0_31,axiom,
    ! [X16,X36,X37] :
      ( lhs_atom115(X16,X36,X37)
      | ~ $true ),
    file('<stdin>',to_be_clausified_118) ).

fof(c_0_32,axiom,
    ! [X34,X35,X16] :
      ( lhs_atom114(X34,X35,X16)
      | ~ $true ),
    file('<stdin>',to_be_clausified_117) ).

fof(c_0_33,axiom,
    ! [X16,X36,X37] :
      ( lhs_atom98(X16,X36,X37)
      | ~ $true ),
    file('<stdin>',to_be_clausified_101) ).

fof(c_0_34,axiom,
    ! [X34,X35,X16] :
      ( lhs_atom91(X34,X35,X16)
      | ~ $true ),
    file('<stdin>',to_be_clausified_94) ).

fof(c_0_35,axiom,
    ! [X31,X27,X28] :
      ( lhs_atom84(X31,X27,X28)
      | ~ $true ),
    file('<stdin>',to_be_clausified_87) ).

fof(c_0_36,axiom,
    ! [X31,X27,X28] :
      ( lhs_atom83(X31,X27,X28)
      | ~ $true ),
    file('<stdin>',to_be_clausified_86) ).

fof(c_0_37,axiom,
    ! [X8,X1,X3] :
      ( lhs_atom82(X8,X1,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_85) ).

fof(c_0_38,axiom,
    ! [X21,X22,X3] :
      ( lhs_atom79(X21,X22,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_82) ).

fof(c_0_39,axiom,
    ! [X13,X12,X10] :
      ( lhs_atom72(X13,X12,X10)
      | ~ $true ),
    file('<stdin>',to_be_clausified_75) ).

fof(c_0_40,axiom,
    ! [X23,X1,X3] :
      ( lhs_atom57(X23,X1,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_58) ).

fof(c_0_41,axiom,
    ! [X21,X22,X3] :
      ( lhs_atom56(X21,X22,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_57) ).

fof(c_0_42,axiom,
    ! [X8,X1,X3] :
      ( lhs_atom55(X8,X1,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_56) ).

fof(c_0_43,axiom,
    ! [X1,X20,X3] :
      ( lhs_atom53(X1,X20,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_54) ).

fof(c_0_44,axiom,
    ! [X8,X1,X11] :
      ( lhs_atom52(X8,X1,X11)
      | ~ $true ),
    file('<stdin>',to_be_clausified_53) ).

fof(c_0_45,axiom,
    ! [X7,X6,X3] :
      ( lhs_atom51(X7,X6,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_52) ).

fof(c_0_46,axiom,
    ! [X8,X1,X3] :
      ( lhs_atom50(X8,X1,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_51) ).

fof(c_0_47,axiom,
    ! [X8,X1,X3] :
      ( lhs_atom49(X8,X1,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_50) ).

fof(c_0_48,axiom,
    ! [X8,X1,X3] :
      ( lhs_atom48(X8,X1,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_49) ).

fof(c_0_49,axiom,
    ! [X8,X1,X3] :
      ( lhs_atom39(X8,X1,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_40) ).

fof(c_0_50,axiom,
    ! [X8,X1,X3] :
      ( lhs_atom38(X8,X1,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_39) ).

fof(c_0_51,axiom,
    ! [X1,X13,X3] :
      ( lhs_atom37(X1,X13,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_38) ).

fof(c_0_52,axiom,
    ! [X13,X12,X10] :
      ( lhs_atom36(X13,X12,X10)
      | ~ $true ),
    file('<stdin>',to_be_clausified_37) ).

fof(c_0_53,axiom,
    ! [X2,X11,X3] :
      ( lhs_atom20(X2,X11,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_20) ).

fof(c_0_54,axiom,
    ! [X1,X9,X3] :
      ( lhs_atom19(X1,X9,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_19) ).

fof(c_0_55,axiom,
    ! [X8,X2,X3] :
      ( lhs_atom15(X8,X2,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_15) ).

fof(c_0_56,axiom,
    ! [X8,X2,X3] :
      ( lhs_atom14(X8,X2,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_14) ).

fof(c_0_57,axiom,
    ! [X1,X9,X3] :
      ( lhs_atom13(X1,X9,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_13) ).

fof(c_0_58,axiom,
    ! [X7,X8,X3] :
      ( lhs_atom12(X7,X8,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_12) ).

fof(c_0_59,axiom,
    ! [X7,X8,X3] :
      ( lhs_atom8(X7,X8,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_7) ).

fof(c_0_60,axiom,
    ! [X2,X4,X3] :
      ( lhs_atom2(X2,X4,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_1) ).

fof(c_0_61,axiom,
    ! [X1,X2,X3] :
      ( lhs_atom1(X1,X2,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_0) ).

fof(c_0_62,axiom,
    ! [X1,X3] :
      ( lhs_atom134(X1,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_138) ).

fof(c_0_63,axiom,
    ! [X1,X42] :
      ( lhs_atom113(X1,X42)
      | ~ $true ),
    file('<stdin>',to_be_clausified_116) ).

fof(c_0_64,axiom,
    ! [X16,X31] :
      ( lhs_atom101(X16,X31)
      | ~ $true ),
    file('<stdin>',to_be_clausified_104) ).

fof(c_0_65,axiom,
    ! [X13,X20] :
      ( lhs_atom96(X13,X20)
      | ~ $true ),
    file('<stdin>',to_be_clausified_99) ).

fof(c_0_66,axiom,
    ! [X32,X10] :
      ( lhs_atom94(X32,X10)
      | ~ $true ),
    file('<stdin>',to_be_clausified_97) ).

fof(c_0_67,axiom,
    ! [X16,X31] :
      ( lhs_atom93(X16,X31)
      | ~ $true ),
    file('<stdin>',to_be_clausified_96) ).

fof(c_0_68,axiom,
    ! [X13,X12] :
      ( lhs_atom78(X13,X12)
      | ~ $true ),
    file('<stdin>',to_be_clausified_81) ).

fof(c_0_69,axiom,
    ! [X7,X3] :
      ( lhs_atom71(X7,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_74) ).

fof(c_0_70,axiom,
    ! [X7,X3] :
      ( lhs_atom71(X7,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_73) ).

fof(c_0_71,axiom,
    ! [X8,X3] :
      ( lhs_atom69(X8,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_72) ).

fof(c_0_72,axiom,
    ! [X1,X3] :
      ( lhs_atom70(X1,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_71) ).

fof(c_0_73,axiom,
    ! [X8,X3] :
      ( lhs_atom69(X8,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_70) ).

fof(c_0_74,axiom,
    ! [X12,X2] :
      ( lhs_atom34(X12,X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_35) ).

fof(c_0_75,axiom,
    ! [X8,X3] :
      ( lhs_atom33(X8,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_34) ).

fof(c_0_76,axiom,
    ! [X8,X3] :
      ( lhs_atom32(X8,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_33) ).

fof(c_0_77,axiom,
    ! [X1,X3] :
      ( lhs_atom30(X1,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_31) ).

fof(c_0_78,axiom,
    ! [X1,X3] :
      ( lhs_atom29(X1,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_30) ).

fof(c_0_79,axiom,
    ! [X1,X3] :
      ( lhs_atom28(X1,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_29) ).

fof(c_0_80,axiom,
    ! [X1,X3] :
      ( lhs_atom27(X1,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_28) ).

fof(c_0_81,axiom,
    ! [X8,X3] :
      ( lhs_atom26(X8,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_27) ).

fof(c_0_82,axiom,
    ! [X1,X3] :
      ( lhs_atom24(X1,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_26) ).

fof(c_0_83,axiom,
    ! [X1,X3] :
      ( lhs_atom24(X1,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_24) ).

fof(c_0_84,axiom,
    ! [X8,X3] :
      ( lhs_atom23(X8,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_23) ).

fof(c_0_85,axiom,
    ! [X8,X3] :
      ( lhs_atom17(X8,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_17) ).

fof(c_0_86,axiom,
    ! [X8,X3] :
      ( lhs_atom10(X8,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_11) ).

fof(c_0_87,axiom,
    ! [X7,X3] :
      ( lhs_atom11(X7,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_10) ).

fof(c_0_88,axiom,
    ! [X8,X3] :
      ( lhs_atom10(X8,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_9) ).

fof(c_0_89,axiom,
    ! [X9,X3] :
      ( lhs_atom9(X9,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_8) ).

fof(c_0_90,axiom,
    ! [X2,X3] :
      ( lhs_atom6(X2,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_5) ).

fof(c_0_91,axiom,
    ! [X5,X3] :
      ( lhs_atom3(X5,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_2) ).

fof(c_0_92,axiom,
    ! [X9] :
      ( lhs_atom102(X9)
      | ~ $true ),
    file('<stdin>',to_be_clausified_105) ).

fof(c_0_93,axiom,
    ! [X3] :
      ( lhs_atom86(X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_89) ).

fof(c_0_94,axiom,
    ! [X9] :
      ( lhs_atom77(X9)
      | ~ $true ),
    file('<stdin>',to_be_clausified_80) ).

fof(c_0_95,axiom,
    ! [X1] :
      ( lhs_atom76(X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_79) ).

fof(c_0_96,axiom,
    ! [X19] :
      ( lhs_atom65(X19)
      | ~ $true ),
    file('<stdin>',to_be_clausified_66) ).

fof(c_0_97,axiom,
    ! [X9] :
      ( lhs_atom64(X9)
      | ~ $true ),
    file('<stdin>',to_be_clausified_65) ).

fof(c_0_98,axiom,
    ! [X3] :
      ( lhs_atom54(X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_55) ).

fof(c_0_99,axiom,
    ! [X2] :
      ( lhs_atom47(X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_48) ).

fof(c_0_100,axiom,
    ! [X2] :
      ( lhs_atom46(X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_47) ).

fof(c_0_101,axiom,
    ! [X19] :
      ( lhs_atom45(X19)
      | ~ $true ),
    file('<stdin>',to_be_clausified_46) ).

fof(c_0_102,axiom,
    ! [X3] :
      ( lhs_atom40(X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_41) ).

fof(c_0_103,axiom,
    ! [X3] :
      ( lhs_atom25(X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_25) ).

fof(c_0_104,axiom,
    ! [X3] :
      ( lhs_atom22(X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_22) ).

fof(c_0_105,axiom,
    ! [X3] :
      ( lhs_atom21(X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_21) ).

fof(c_0_106,axiom,
    ! [X3] :
      ( lhs_atom16(X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_16) ).

fof(c_0_107,axiom,
    ! [X3] :
      ( lhs_atom7(X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_6) ).

fof(c_0_108,axiom,
    ! [X3] :
      ( lhs_atom4(X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_3) ).

fof(c_0_109,axiom,
    ( lhs_atom133
    | ~ $true ),
    file('<stdin>',to_be_clausified_137) ).

fof(c_0_110,axiom,
    ( lhs_atom132
    | ~ $true ),
    file('<stdin>',to_be_clausified_136) ).

fof(c_0_111,axiom,
    ( lhs_atom131
    | ~ $true ),
    file('<stdin>',to_be_clausified_135) ).

fof(c_0_112,axiom,
    ( lhs_atom130
    | ~ $true ),
    file('<stdin>',to_be_clausified_134) ).

fof(c_0_113,axiom,
    ( lhs_atom129
    | ~ $true ),
    file('<stdin>',to_be_clausified_133) ).

fof(c_0_114,axiom,
    ( lhs_atom128
    | ~ $true ),
    file('<stdin>',to_be_clausified_132) ).

fof(c_0_115,axiom,
    ( lhs_atom127
    | ~ $true ),
    file('<stdin>',to_be_clausified_131) ).

fof(c_0_116,axiom,
    ( lhs_atom126
    | ~ $true ),
    file('<stdin>',to_be_clausified_130) ).

fof(c_0_117,axiom,
    ( lhs_atom125
    | ~ $true ),
    file('<stdin>',to_be_clausified_129) ).

fof(c_0_118,axiom,
    ( lhs_atom124
    | ~ $true ),
    file('<stdin>',to_be_clausified_128) ).

fof(c_0_119,axiom,
    ( lhs_atom123
    | ~ $true ),
    file('<stdin>',to_be_clausified_127) ).

fof(c_0_120,axiom,
    ( lhs_atom122
    | ~ $true ),
    file('<stdin>',to_be_clausified_126) ).

fof(c_0_121,axiom,
    ( lhs_atom121
    | ~ $true ),
    file('<stdin>',to_be_clausified_125) ).

fof(c_0_122,axiom,
    ( lhs_atom120
    | ~ $true ),
    file('<stdin>',to_be_clausified_124) ).

fof(c_0_123,axiom,
    ( lhs_atom119
    | ~ $true ),
    file('<stdin>',to_be_clausified_123) ).

fof(c_0_124,axiom,
    ( lhs_atom118
    | ~ $true ),
    file('<stdin>',to_be_clausified_122) ).

fof(c_0_125,axiom,
    ( lhs_atom117
    | ~ $true ),
    file('<stdin>',to_be_clausified_121) ).

fof(c_0_126,axiom,
    ( lhs_atom116
    | ~ $true ),
    file('<stdin>',to_be_clausified_120) ).

fof(c_0_127,axiom,
    ( lhs_atom105
    | ~ $true ),
    file('<stdin>',to_be_clausified_119) ).

fof(c_0_128,axiom,
    ( lhs_atom108
    | ~ $true ),
    file('<stdin>',to_be_clausified_111) ).

fof(c_0_129,axiom,
    ( lhs_atom107
    | ~ $true ),
    file('<stdin>',to_be_clausified_110) ).

fof(c_0_130,axiom,
    ( lhs_atom106
    | ~ $true ),
    file('<stdin>',to_be_clausified_109) ).

fof(c_0_131,axiom,
    ( lhs_atom105
    | ~ $true ),
    file('<stdin>',to_be_clausified_108) ).

fof(c_0_132,axiom,
    ( lhs_atom104
    | ~ $true ),
    file('<stdin>',to_be_clausified_107) ).

fof(c_0_133,axiom,
    ( lhs_atom100
    | ~ $true ),
    file('<stdin>',to_be_clausified_103) ).

fof(c_0_134,axiom,
    ( lhs_atom92
    | ~ $true ),
    file('<stdin>',to_be_clausified_95) ).

fof(c_0_135,axiom,
    ( lhs_atom81
    | ~ $true ),
    file('<stdin>',to_be_clausified_84) ).

fof(c_0_136,axiom,
    ( lhs_atom67
    | ~ $true ),
    file('<stdin>',to_be_clausified_68) ).

fof(c_0_137,axiom,
    ( lhs_atom44
    | ~ $true ),
    file('<stdin>',to_be_clausified_45) ).

fof(c_0_138,axiom,
    ( lhs_atom35
    | ~ $true ),
    file('<stdin>',to_be_clausified_36) ).

fof(c_0_139,plain,
    ! [X7,X8,X15,X4,X11,X3] : lhs_atom103(X7,X8,X15,X4,X11,X3),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_140,plain,
    ! [X8,X1,X15,X4,X11,X3] : lhs_atom95(X8,X1,X15,X4,X11,X3),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_141,plain,
    ! [X26,X17,X18,X27,X28,X3] : lhs_atom66(X26,X17,X18,X27,X28,X3),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_142,plain,
    ! [X8,X1,X15,X4,X11,X3] : lhs_atom63(X8,X1,X15,X4,X11,X3),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_143,plain,
    ! [X26,X17,X18,X27,X28,X3] : lhs_atom60(X26,X17,X18,X27,X28,X3),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_144,plain,
    ! [X7,X8,X15,X4,X11,X3] : lhs_atom42(X7,X8,X15,X4,X11,X3),
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

fof(c_0_145,plain,
    ! [X40,X41,X17,X18,X3] : lhs_atom112(X40,X41,X17,X18,X3),
    inference(fof_simplification,[status(thm)],[c_0_6]) ).

fof(c_0_146,plain,
    ! [X40,X41,X17,X18,X3] : lhs_atom111(X40,X41,X17,X18,X3),
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

fof(c_0_147,plain,
    ! [X16,X26,X17,X18,X3] : lhs_atom109(X16,X26,X17,X18,X3),
    inference(fof_simplification,[status(thm)],[c_0_8]) ).

fof(c_0_148,plain,
    ! [X16,X26,X17,X18,X3] : lhs_atom97(X16,X26,X17,X18,X3),
    inference(fof_simplification,[status(thm)],[c_0_9]) ).

fof(c_0_149,plain,
    ! [X26,X17,X18,X29,X3] : lhs_atom80(X26,X17,X18,X29,X3),
    inference(fof_simplification,[status(thm)],[c_0_10]) ).

fof(c_0_150,plain,
    ! [X26,X17,X18,X29,X3] : lhs_atom68(X26,X17,X18,X29,X3),
    inference(fof_simplification,[status(thm)],[c_0_11]) ).

fof(c_0_151,plain,
    ! [X15,X4,X11,X3] : lhs_atom110(X15,X4,X11,X3),
    inference(fof_simplification,[status(thm)],[c_0_12]) ).

fof(c_0_152,plain,
    ! [X1,X38,X39,X3] : lhs_atom99(X1,X38,X39,X3),
    inference(fof_simplification,[status(thm)],[c_0_13]) ).

fof(c_0_153,plain,
    ! [X8,X1,X30,X3] : lhs_atom90(X8,X1,X30,X3),
    inference(fof_simplification,[status(thm)],[c_0_14]) ).

fof(c_0_154,plain,
    ! [X24,X7,X1,X3] : lhs_atom89(X24,X7,X1,X3),
    inference(fof_simplification,[status(thm)],[c_0_15]) ).

fof(c_0_155,plain,
    ! [X25,X8,X33,X3] : lhs_atom88(X25,X8,X33,X3),
    inference(fof_simplification,[status(thm)],[c_0_16]) ).

fof(c_0_156,plain,
    ! [X24,X7,X8,X3] : lhs_atom87(X24,X7,X8,X3),
    inference(fof_simplification,[status(thm)],[c_0_17]) ).

fof(c_0_157,plain,
    ! [X32,X13,X12,X10] : lhs_atom85(X32,X13,X12,X10),
    inference(fof_simplification,[status(thm)],[c_0_18]) ).

fof(c_0_158,plain,
    ! [X16,X17,X18,X3] : lhs_atom75(X16,X17,X18,X3),
    inference(fof_simplification,[status(thm)],[c_0_19]) ).

fof(c_0_159,plain,
    ! [X30,X14,X2,X9] : lhs_atom74(X30,X14,X2,X9),
    inference(fof_simplification,[status(thm)],[c_0_20]) ).

fof(c_0_160,plain,
    ! [X15,X4,X11,X3] : lhs_atom73(X15,X4,X11,X3),
    inference(fof_simplification,[status(thm)],[c_0_21]) ).

fof(c_0_161,plain,
    ! [X24,X23,X1,X3] : lhs_atom62(X24,X23,X1,X3),
    inference(fof_simplification,[status(thm)],[c_0_22]) ).

fof(c_0_162,plain,
    ! [X7,X8,X1,X3] : lhs_atom61(X7,X8,X1,X3),
    inference(fof_simplification,[status(thm)],[c_0_23]) ).

fof(c_0_163,plain,
    ! [X24,X23,X1,X3] : lhs_atom59(X24,X23,X1,X3),
    inference(fof_simplification,[status(thm)],[c_0_24]) ).

fof(c_0_164,plain,
    ! [X24,X25,X1,X3] : lhs_atom58(X24,X25,X1,X3),
    inference(fof_simplification,[status(thm)],[c_0_25]) ).

fof(c_0_165,plain,
    ! [X16,X17,X18,X3] : lhs_atom43(X16,X17,X18,X3),
    inference(fof_simplification,[status(thm)],[c_0_26]) ).

fof(c_0_166,plain,
    ! [X13,X14,X12,X9] : lhs_atom41(X13,X14,X12,X9),
    inference(fof_simplification,[status(thm)],[c_0_27]) ).

fof(c_0_167,plain,
    ! [X8,X1,X9,X3] : lhs_atom31(X8,X1,X9,X3),
    inference(fof_simplification,[status(thm)],[c_0_28]) ).

fof(c_0_168,plain,
    ! [X1,X9,X10,X3] : lhs_atom18(X1,X9,X10,X3),
    inference(fof_simplification,[status(thm)],[c_0_29]) ).

fof(c_0_169,axiom,
    ! [X6,X1,X3] :
      ( lhs_atom5(X6,X1,X3)
      | c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X1,X3) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X6,X3) ),
    c_0_30 ).

fof(c_0_170,plain,
    ! [X16,X36,X37] : lhs_atom115(X16,X36,X37),
    inference(fof_simplification,[status(thm)],[c_0_31]) ).

fof(c_0_171,plain,
    ! [X34,X35,X16] : lhs_atom114(X34,X35,X16),
    inference(fof_simplification,[status(thm)],[c_0_32]) ).

fof(c_0_172,plain,
    ! [X16,X36,X37] : lhs_atom98(X16,X36,X37),
    inference(fof_simplification,[status(thm)],[c_0_33]) ).

fof(c_0_173,plain,
    ! [X34,X35,X16] : lhs_atom91(X34,X35,X16),
    inference(fof_simplification,[status(thm)],[c_0_34]) ).

fof(c_0_174,plain,
    ! [X31,X27,X28] : lhs_atom84(X31,X27,X28),
    inference(fof_simplification,[status(thm)],[c_0_35]) ).

fof(c_0_175,plain,
    ! [X31,X27,X28] : lhs_atom83(X31,X27,X28),
    inference(fof_simplification,[status(thm)],[c_0_36]) ).

fof(c_0_176,plain,
    ! [X8,X1,X3] : lhs_atom82(X8,X1,X3),
    inference(fof_simplification,[status(thm)],[c_0_37]) ).

fof(c_0_177,plain,
    ! [X21,X22,X3] : lhs_atom79(X21,X22,X3),
    inference(fof_simplification,[status(thm)],[c_0_38]) ).

fof(c_0_178,plain,
    ! [X13,X12,X10] : lhs_atom72(X13,X12,X10),
    inference(fof_simplification,[status(thm)],[c_0_39]) ).

fof(c_0_179,plain,
    ! [X23,X1,X3] : lhs_atom57(X23,X1,X3),
    inference(fof_simplification,[status(thm)],[c_0_40]) ).

fof(c_0_180,plain,
    ! [X21,X22,X3] : lhs_atom56(X21,X22,X3),
    inference(fof_simplification,[status(thm)],[c_0_41]) ).

fof(c_0_181,plain,
    ! [X8,X1,X3] : lhs_atom55(X8,X1,X3),
    inference(fof_simplification,[status(thm)],[c_0_42]) ).

fof(c_0_182,plain,
    ! [X1,X20,X3] : lhs_atom53(X1,X20,X3),
    inference(fof_simplification,[status(thm)],[c_0_43]) ).

fof(c_0_183,plain,
    ! [X8,X1,X11] : lhs_atom52(X8,X1,X11),
    inference(fof_simplification,[status(thm)],[c_0_44]) ).

fof(c_0_184,plain,
    ! [X7,X6,X3] : lhs_atom51(X7,X6,X3),
    inference(fof_simplification,[status(thm)],[c_0_45]) ).

fof(c_0_185,plain,
    ! [X8,X1,X3] : lhs_atom50(X8,X1,X3),
    inference(fof_simplification,[status(thm)],[c_0_46]) ).

fof(c_0_186,plain,
    ! [X8,X1,X3] : lhs_atom49(X8,X1,X3),
    inference(fof_simplification,[status(thm)],[c_0_47]) ).

fof(c_0_187,plain,
    ! [X8,X1,X3] : lhs_atom48(X8,X1,X3),
    inference(fof_simplification,[status(thm)],[c_0_48]) ).

fof(c_0_188,plain,
    ! [X8,X1,X3] : lhs_atom39(X8,X1,X3),
    inference(fof_simplification,[status(thm)],[c_0_49]) ).

fof(c_0_189,plain,
    ! [X8,X1,X3] : lhs_atom38(X8,X1,X3),
    inference(fof_simplification,[status(thm)],[c_0_50]) ).

fof(c_0_190,plain,
    ! [X1,X13,X3] : lhs_atom37(X1,X13,X3),
    inference(fof_simplification,[status(thm)],[c_0_51]) ).

fof(c_0_191,plain,
    ! [X13,X12,X10] : lhs_atom36(X13,X12,X10),
    inference(fof_simplification,[status(thm)],[c_0_52]) ).

fof(c_0_192,plain,
    ! [X2,X11,X3] : lhs_atom20(X2,X11,X3),
    inference(fof_simplification,[status(thm)],[c_0_53]) ).

fof(c_0_193,plain,
    ! [X1,X9,X3] : lhs_atom19(X1,X9,X3),
    inference(fof_simplification,[status(thm)],[c_0_54]) ).

fof(c_0_194,plain,
    ! [X8,X2,X3] : lhs_atom15(X8,X2,X3),
    inference(fof_simplification,[status(thm)],[c_0_55]) ).

fof(c_0_195,plain,
    ! [X8,X2,X3] : lhs_atom14(X8,X2,X3),
    inference(fof_simplification,[status(thm)],[c_0_56]) ).

fof(c_0_196,plain,
    ! [X1,X9,X3] : lhs_atom13(X1,X9,X3),
    inference(fof_simplification,[status(thm)],[c_0_57]) ).

fof(c_0_197,plain,
    ! [X7,X8,X3] : lhs_atom12(X7,X8,X3),
    inference(fof_simplification,[status(thm)],[c_0_58]) ).

fof(c_0_198,plain,
    ! [X7,X8,X3] : lhs_atom8(X7,X8,X3),
    inference(fof_simplification,[status(thm)],[c_0_59]) ).

fof(c_0_199,plain,
    ! [X2,X4,X3] : lhs_atom2(X2,X4,X3),
    inference(fof_simplification,[status(thm)],[c_0_60]) ).

fof(c_0_200,plain,
    ! [X1,X2,X3] : lhs_atom1(X1,X2,X3),
    inference(fof_simplification,[status(thm)],[c_0_61]) ).

fof(c_0_201,plain,
    ! [X1,X3] : lhs_atom134(X1,X3),
    inference(fof_simplification,[status(thm)],[c_0_62]) ).

fof(c_0_202,plain,
    ! [X1,X42] : lhs_atom113(X1,X42),
    inference(fof_simplification,[status(thm)],[c_0_63]) ).

fof(c_0_203,plain,
    ! [X16,X31] : lhs_atom101(X16,X31),
    inference(fof_simplification,[status(thm)],[c_0_64]) ).

fof(c_0_204,plain,
    ! [X13,X20] : lhs_atom96(X13,X20),
    inference(fof_simplification,[status(thm)],[c_0_65]) ).

fof(c_0_205,plain,
    ! [X32,X10] : lhs_atom94(X32,X10),
    inference(fof_simplification,[status(thm)],[c_0_66]) ).

fof(c_0_206,plain,
    ! [X16,X31] : lhs_atom93(X16,X31),
    inference(fof_simplification,[status(thm)],[c_0_67]) ).

fof(c_0_207,plain,
    ! [X13,X12] : lhs_atom78(X13,X12),
    inference(fof_simplification,[status(thm)],[c_0_68]) ).

fof(c_0_208,plain,
    ! [X7,X3] : lhs_atom71(X7,X3),
    inference(fof_simplification,[status(thm)],[c_0_69]) ).

fof(c_0_209,plain,
    ! [X7,X3] : lhs_atom71(X7,X3),
    inference(fof_simplification,[status(thm)],[c_0_70]) ).

fof(c_0_210,plain,
    ! [X8,X3] : lhs_atom69(X8,X3),
    inference(fof_simplification,[status(thm)],[c_0_71]) ).

fof(c_0_211,plain,
    ! [X1,X3] : lhs_atom70(X1,X3),
    inference(fof_simplification,[status(thm)],[c_0_72]) ).

fof(c_0_212,plain,
    ! [X8,X3] : lhs_atom69(X8,X3),
    inference(fof_simplification,[status(thm)],[c_0_73]) ).

fof(c_0_213,plain,
    ! [X12,X2] : lhs_atom34(X12,X2),
    inference(fof_simplification,[status(thm)],[c_0_74]) ).

fof(c_0_214,plain,
    ! [X8,X3] : lhs_atom33(X8,X3),
    inference(fof_simplification,[status(thm)],[c_0_75]) ).

fof(c_0_215,plain,
    ! [X8,X3] : lhs_atom32(X8,X3),
    inference(fof_simplification,[status(thm)],[c_0_76]) ).

fof(c_0_216,plain,
    ! [X1,X3] : lhs_atom30(X1,X3),
    inference(fof_simplification,[status(thm)],[c_0_77]) ).

fof(c_0_217,plain,
    ! [X1,X3] : lhs_atom29(X1,X3),
    inference(fof_simplification,[status(thm)],[c_0_78]) ).

fof(c_0_218,plain,
    ! [X1,X3] : lhs_atom28(X1,X3),
    inference(fof_simplification,[status(thm)],[c_0_79]) ).

fof(c_0_219,plain,
    ! [X1,X3] : lhs_atom27(X1,X3),
    inference(fof_simplification,[status(thm)],[c_0_80]) ).

fof(c_0_220,plain,
    ! [X8,X3] : lhs_atom26(X8,X3),
    inference(fof_simplification,[status(thm)],[c_0_81]) ).

fof(c_0_221,plain,
    ! [X1,X3] : lhs_atom24(X1,X3),
    inference(fof_simplification,[status(thm)],[c_0_82]) ).

fof(c_0_222,plain,
    ! [X1,X3] : lhs_atom24(X1,X3),
    inference(fof_simplification,[status(thm)],[c_0_83]) ).

fof(c_0_223,plain,
    ! [X8,X3] : lhs_atom23(X8,X3),
    inference(fof_simplification,[status(thm)],[c_0_84]) ).

fof(c_0_224,plain,
    ! [X8,X3] : lhs_atom17(X8,X3),
    inference(fof_simplification,[status(thm)],[c_0_85]) ).

fof(c_0_225,plain,
    ! [X8,X3] : lhs_atom10(X8,X3),
    inference(fof_simplification,[status(thm)],[c_0_86]) ).

fof(c_0_226,plain,
    ! [X7,X3] : lhs_atom11(X7,X3),
    inference(fof_simplification,[status(thm)],[c_0_87]) ).

fof(c_0_227,plain,
    ! [X8,X3] : lhs_atom10(X8,X3),
    inference(fof_simplification,[status(thm)],[c_0_88]) ).

fof(c_0_228,plain,
    ! [X9,X3] : lhs_atom9(X9,X3),
    inference(fof_simplification,[status(thm)],[c_0_89]) ).

fof(c_0_229,plain,
    ! [X2,X3] : lhs_atom6(X2,X3),
    inference(fof_simplification,[status(thm)],[c_0_90]) ).

fof(c_0_230,plain,
    ! [X5,X3] : lhs_atom3(X5,X3),
    inference(fof_simplification,[status(thm)],[c_0_91]) ).

fof(c_0_231,plain,
    ! [X9] : lhs_atom102(X9),
    inference(fof_simplification,[status(thm)],[c_0_92]) ).

fof(c_0_232,plain,
    ! [X3] : lhs_atom86(X3),
    inference(fof_simplification,[status(thm)],[c_0_93]) ).

fof(c_0_233,plain,
    ! [X9] : lhs_atom77(X9),
    inference(fof_simplification,[status(thm)],[c_0_94]) ).

fof(c_0_234,plain,
    ! [X1] : lhs_atom76(X1),
    inference(fof_simplification,[status(thm)],[c_0_95]) ).

fof(c_0_235,plain,
    ! [X19] : lhs_atom65(X19),
    inference(fof_simplification,[status(thm)],[c_0_96]) ).

fof(c_0_236,plain,
    ! [X9] : lhs_atom64(X9),
    inference(fof_simplification,[status(thm)],[c_0_97]) ).

fof(c_0_237,plain,
    ! [X3] : lhs_atom54(X3),
    inference(fof_simplification,[status(thm)],[c_0_98]) ).

fof(c_0_238,plain,
    ! [X2] : lhs_atom47(X2),
    inference(fof_simplification,[status(thm)],[c_0_99]) ).

fof(c_0_239,plain,
    ! [X2] : lhs_atom46(X2),
    inference(fof_simplification,[status(thm)],[c_0_100]) ).

fof(c_0_240,plain,
    ! [X19] : lhs_atom45(X19),
    inference(fof_simplification,[status(thm)],[c_0_101]) ).

fof(c_0_241,plain,
    ! [X3] : lhs_atom40(X3),
    inference(fof_simplification,[status(thm)],[c_0_102]) ).

fof(c_0_242,plain,
    ! [X3] : lhs_atom25(X3),
    inference(fof_simplification,[status(thm)],[c_0_103]) ).

fof(c_0_243,plain,
    ! [X3] : lhs_atom22(X3),
    inference(fof_simplification,[status(thm)],[c_0_104]) ).

fof(c_0_244,plain,
    ! [X3] : lhs_atom21(X3),
    inference(fof_simplification,[status(thm)],[c_0_105]) ).

fof(c_0_245,plain,
    ! [X3] : lhs_atom16(X3),
    inference(fof_simplification,[status(thm)],[c_0_106]) ).

fof(c_0_246,plain,
    ! [X3] : lhs_atom7(X3),
    inference(fof_simplification,[status(thm)],[c_0_107]) ).

fof(c_0_247,plain,
    ! [X3] : lhs_atom4(X3),
    inference(fof_simplification,[status(thm)],[c_0_108]) ).

fof(c_0_248,plain,
    lhs_atom133,
    inference(fof_simplification,[status(thm)],[c_0_109]) ).

fof(c_0_249,plain,
    lhs_atom132,
    inference(fof_simplification,[status(thm)],[c_0_110]) ).

fof(c_0_250,plain,
    lhs_atom131,
    inference(fof_simplification,[status(thm)],[c_0_111]) ).

fof(c_0_251,plain,
    lhs_atom130,
    inference(fof_simplification,[status(thm)],[c_0_112]) ).

fof(c_0_252,plain,
    lhs_atom129,
    inference(fof_simplification,[status(thm)],[c_0_113]) ).

fof(c_0_253,plain,
    lhs_atom128,
    inference(fof_simplification,[status(thm)],[c_0_114]) ).

fof(c_0_254,plain,
    lhs_atom127,
    inference(fof_simplification,[status(thm)],[c_0_115]) ).

fof(c_0_255,plain,
    lhs_atom126,
    inference(fof_simplification,[status(thm)],[c_0_116]) ).

fof(c_0_256,plain,
    lhs_atom125,
    inference(fof_simplification,[status(thm)],[c_0_117]) ).

fof(c_0_257,plain,
    lhs_atom124,
    inference(fof_simplification,[status(thm)],[c_0_118]) ).

fof(c_0_258,plain,
    lhs_atom123,
    inference(fof_simplification,[status(thm)],[c_0_119]) ).

fof(c_0_259,plain,
    lhs_atom122,
    inference(fof_simplification,[status(thm)],[c_0_120]) ).

fof(c_0_260,plain,
    lhs_atom121,
    inference(fof_simplification,[status(thm)],[c_0_121]) ).

fof(c_0_261,plain,
    lhs_atom120,
    inference(fof_simplification,[status(thm)],[c_0_122]) ).

fof(c_0_262,plain,
    lhs_atom119,
    inference(fof_simplification,[status(thm)],[c_0_123]) ).

fof(c_0_263,plain,
    lhs_atom118,
    inference(fof_simplification,[status(thm)],[c_0_124]) ).

fof(c_0_264,plain,
    lhs_atom117,
    inference(fof_simplification,[status(thm)],[c_0_125]) ).

fof(c_0_265,plain,
    lhs_atom116,
    inference(fof_simplification,[status(thm)],[c_0_126]) ).

fof(c_0_266,plain,
    lhs_atom105,
    inference(fof_simplification,[status(thm)],[c_0_127]) ).

fof(c_0_267,plain,
    lhs_atom108,
    inference(fof_simplification,[status(thm)],[c_0_128]) ).

fof(c_0_268,plain,
    lhs_atom107,
    inference(fof_simplification,[status(thm)],[c_0_129]) ).

fof(c_0_269,plain,
    lhs_atom106,
    inference(fof_simplification,[status(thm)],[c_0_130]) ).

fof(c_0_270,plain,
    lhs_atom105,
    inference(fof_simplification,[status(thm)],[c_0_131]) ).

fof(c_0_271,plain,
    lhs_atom104,
    inference(fof_simplification,[status(thm)],[c_0_132]) ).

fof(c_0_272,plain,
    lhs_atom100,
    inference(fof_simplification,[status(thm)],[c_0_133]) ).

fof(c_0_273,plain,
    lhs_atom92,
    inference(fof_simplification,[status(thm)],[c_0_134]) ).

fof(c_0_274,plain,
    lhs_atom81,
    inference(fof_simplification,[status(thm)],[c_0_135]) ).

fof(c_0_275,plain,
    lhs_atom67,
    inference(fof_simplification,[status(thm)],[c_0_136]) ).

fof(c_0_276,plain,
    lhs_atom44,
    inference(fof_simplification,[status(thm)],[c_0_137]) ).

fof(c_0_277,plain,
    lhs_atom35,
    inference(fof_simplification,[status(thm)],[c_0_138]) ).

fof(c_0_278,plain,
    ! [X16,X17,X18,X19,X20,X21] : lhs_atom103(X16,X17,X18,X19,X20,X21),
    inference(variable_rename,[status(thm)],[c_0_139]) ).

fof(c_0_279,plain,
    ! [X16,X17,X18,X19,X20,X21] : lhs_atom95(X16,X17,X18,X19,X20,X21),
    inference(variable_rename,[status(thm)],[c_0_140]) ).

fof(c_0_280,plain,
    ! [X29,X30,X31,X32,X33,X34] : lhs_atom66(X29,X30,X31,X32,X33,X34),
    inference(variable_rename,[status(thm)],[c_0_141]) ).

fof(c_0_281,plain,
    ! [X16,X17,X18,X19,X20,X21] : lhs_atom63(X16,X17,X18,X19,X20,X21),
    inference(variable_rename,[status(thm)],[c_0_142]) ).

fof(c_0_282,plain,
    ! [X29,X30,X31,X32,X33,X34] : lhs_atom60(X29,X30,X31,X32,X33,X34),
    inference(variable_rename,[status(thm)],[c_0_143]) ).

fof(c_0_283,plain,
    ! [X16,X17,X18,X19,X20,X21] : lhs_atom42(X16,X17,X18,X19,X20,X21),
    inference(variable_rename,[status(thm)],[c_0_144]) ).

fof(c_0_284,plain,
    ! [X42,X43,X44,X45,X46] : lhs_atom112(X42,X43,X44,X45,X46),
    inference(variable_rename,[status(thm)],[c_0_145]) ).

fof(c_0_285,plain,
    ! [X42,X43,X44,X45,X46] : lhs_atom111(X42,X43,X44,X45,X46),
    inference(variable_rename,[status(thm)],[c_0_146]) ).

fof(c_0_286,plain,
    ! [X27,X28,X29,X30,X31] : lhs_atom109(X27,X28,X29,X30,X31),
    inference(variable_rename,[status(thm)],[c_0_147]) ).

fof(c_0_287,plain,
    ! [X27,X28,X29,X30,X31] : lhs_atom97(X27,X28,X29,X30,X31),
    inference(variable_rename,[status(thm)],[c_0_148]) ).

fof(c_0_288,plain,
    ! [X30,X31,X32,X33,X34] : lhs_atom80(X30,X31,X32,X33,X34),
    inference(variable_rename,[status(thm)],[c_0_149]) ).

fof(c_0_289,plain,
    ! [X30,X31,X32,X33,X34] : lhs_atom68(X30,X31,X32,X33,X34),
    inference(variable_rename,[status(thm)],[c_0_150]) ).

fof(c_0_290,plain,
    ! [X16,X17,X18,X19] : lhs_atom110(X16,X17,X18,X19),
    inference(variable_rename,[status(thm)],[c_0_151]) ).

fof(c_0_291,plain,
    ! [X40,X41,X42,X43] : lhs_atom99(X40,X41,X42,X43),
    inference(variable_rename,[status(thm)],[c_0_152]) ).

fof(c_0_292,plain,
    ! [X31,X32,X33,X34] : lhs_atom90(X31,X32,X33,X34),
    inference(variable_rename,[status(thm)],[c_0_153]) ).

fof(c_0_293,plain,
    ! [X25,X26,X27,X28] : lhs_atom89(X25,X26,X27,X28),
    inference(variable_rename,[status(thm)],[c_0_154]) ).

fof(c_0_294,plain,
    ! [X34,X35,X36,X37] : lhs_atom88(X34,X35,X36,X37),
    inference(variable_rename,[status(thm)],[c_0_155]) ).

fof(c_0_295,plain,
    ! [X25,X26,X27,X28] : lhs_atom87(X25,X26,X27,X28),
    inference(variable_rename,[status(thm)],[c_0_156]) ).

fof(c_0_296,plain,
    ! [X33,X34,X35,X36] : lhs_atom85(X33,X34,X35,X36),
    inference(variable_rename,[status(thm)],[c_0_157]) ).

fof(c_0_297,plain,
    ! [X19,X20,X21,X22] : lhs_atom75(X19,X20,X21,X22),
    inference(variable_rename,[status(thm)],[c_0_158]) ).

fof(c_0_298,plain,
    ! [X31,X32,X33,X34] : lhs_atom74(X31,X32,X33,X34),
    inference(variable_rename,[status(thm)],[c_0_159]) ).

fof(c_0_299,plain,
    ! [X16,X17,X18,X19] : lhs_atom73(X16,X17,X18,X19),
    inference(variable_rename,[status(thm)],[c_0_160]) ).

fof(c_0_300,plain,
    ! [X25,X26,X27,X28] : lhs_atom62(X25,X26,X27,X28),
    inference(variable_rename,[status(thm)],[c_0_161]) ).

fof(c_0_301,plain,
    ! [X9,X10,X11,X12] : lhs_atom61(X9,X10,X11,X12),
    inference(variable_rename,[status(thm)],[c_0_162]) ).

fof(c_0_302,plain,
    ! [X25,X26,X27,X28] : lhs_atom59(X25,X26,X27,X28),
    inference(variable_rename,[status(thm)],[c_0_163]) ).

fof(c_0_303,plain,
    ! [X26,X27,X28,X29] : lhs_atom58(X26,X27,X28,X29),
    inference(variable_rename,[status(thm)],[c_0_164]) ).

fof(c_0_304,plain,
    ! [X19,X20,X21,X22] : lhs_atom43(X19,X20,X21,X22),
    inference(variable_rename,[status(thm)],[c_0_165]) ).

fof(c_0_305,plain,
    ! [X15,X16,X17,X18] : lhs_atom41(X15,X16,X17,X18),
    inference(variable_rename,[status(thm)],[c_0_166]) ).

fof(c_0_306,plain,
    ! [X10,X11,X12,X13] : lhs_atom31(X10,X11,X12,X13),
    inference(variable_rename,[status(thm)],[c_0_167]) ).

fof(c_0_307,plain,
    ! [X11,X12,X13,X14] : lhs_atom18(X11,X12,X13,X14),
    inference(variable_rename,[status(thm)],[c_0_168]) ).

fof(c_0_308,plain,
    ! [X7,X8,X9] :
      ( lhs_atom5(X7,X8,X9)
      | c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X8,X9) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X7,X9) ),
    inference(variable_rename,[status(thm)],[c_0_169]) ).

fof(c_0_309,plain,
    ! [X38,X39,X40] : lhs_atom115(X38,X39,X40),
    inference(variable_rename,[status(thm)],[c_0_170]) ).

fof(c_0_310,plain,
    ! [X36,X37,X38] : lhs_atom114(X36,X37,X38),
    inference(variable_rename,[status(thm)],[c_0_171]) ).

fof(c_0_311,plain,
    ! [X38,X39,X40] : lhs_atom98(X38,X39,X40),
    inference(variable_rename,[status(thm)],[c_0_172]) ).

fof(c_0_312,plain,
    ! [X36,X37,X38] : lhs_atom91(X36,X37,X38),
    inference(variable_rename,[status(thm)],[c_0_173]) ).

fof(c_0_313,plain,
    ! [X32,X33,X34] : lhs_atom84(X32,X33,X34),
    inference(variable_rename,[status(thm)],[c_0_174]) ).

fof(c_0_314,plain,
    ! [X32,X33,X34] : lhs_atom83(X32,X33,X34),
    inference(variable_rename,[status(thm)],[c_0_175]) ).

fof(c_0_315,plain,
    ! [X9,X10,X11] : lhs_atom82(X9,X10,X11),
    inference(variable_rename,[status(thm)],[c_0_176]) ).

fof(c_0_316,plain,
    ! [X23,X24,X25] : lhs_atom79(X23,X24,X25),
    inference(variable_rename,[status(thm)],[c_0_177]) ).

fof(c_0_317,plain,
    ! [X14,X15,X16] : lhs_atom72(X14,X15,X16),
    inference(variable_rename,[status(thm)],[c_0_178]) ).

fof(c_0_318,plain,
    ! [X24,X25,X26] : lhs_atom57(X24,X25,X26),
    inference(variable_rename,[status(thm)],[c_0_179]) ).

fof(c_0_319,plain,
    ! [X23,X24,X25] : lhs_atom56(X23,X24,X25),
    inference(variable_rename,[status(thm)],[c_0_180]) ).

fof(c_0_320,plain,
    ! [X9,X10,X11] : lhs_atom55(X9,X10,X11),
    inference(variable_rename,[status(thm)],[c_0_181]) ).

fof(c_0_321,plain,
    ! [X21,X22,X23] : lhs_atom53(X21,X22,X23),
    inference(variable_rename,[status(thm)],[c_0_182]) ).

fof(c_0_322,plain,
    ! [X12,X13,X14] : lhs_atom52(X12,X13,X14),
    inference(variable_rename,[status(thm)],[c_0_183]) ).

fof(c_0_323,plain,
    ! [X8,X9,X10] : lhs_atom51(X8,X9,X10),
    inference(variable_rename,[status(thm)],[c_0_184]) ).

fof(c_0_324,plain,
    ! [X9,X10,X11] : lhs_atom50(X9,X10,X11),
    inference(variable_rename,[status(thm)],[c_0_185]) ).

fof(c_0_325,plain,
    ! [X9,X10,X11] : lhs_atom49(X9,X10,X11),
    inference(variable_rename,[status(thm)],[c_0_186]) ).

fof(c_0_326,plain,
    ! [X9,X10,X11] : lhs_atom48(X9,X10,X11),
    inference(variable_rename,[status(thm)],[c_0_187]) ).

fof(c_0_327,plain,
    ! [X9,X10,X11] : lhs_atom39(X9,X10,X11),
    inference(variable_rename,[status(thm)],[c_0_188]) ).

fof(c_0_328,plain,
    ! [X9,X10,X11] : lhs_atom38(X9,X10,X11),
    inference(variable_rename,[status(thm)],[c_0_189]) ).

fof(c_0_329,plain,
    ! [X14,X15,X16] : lhs_atom37(X14,X15,X16),
    inference(variable_rename,[status(thm)],[c_0_190]) ).

fof(c_0_330,plain,
    ! [X14,X15,X16] : lhs_atom36(X14,X15,X16),
    inference(variable_rename,[status(thm)],[c_0_191]) ).

fof(c_0_331,plain,
    ! [X12,X13,X14] : lhs_atom20(X12,X13,X14),
    inference(variable_rename,[status(thm)],[c_0_192]) ).

fof(c_0_332,plain,
    ! [X10,X11,X12] : lhs_atom19(X10,X11,X12),
    inference(variable_rename,[status(thm)],[c_0_193]) ).

fof(c_0_333,plain,
    ! [X9,X10,X11] : lhs_atom15(X9,X10,X11),
    inference(variable_rename,[status(thm)],[c_0_194]) ).

fof(c_0_334,plain,
    ! [X9,X10,X11] : lhs_atom14(X9,X10,X11),
    inference(variable_rename,[status(thm)],[c_0_195]) ).

fof(c_0_335,plain,
    ! [X10,X11,X12] : lhs_atom13(X10,X11,X12),
    inference(variable_rename,[status(thm)],[c_0_196]) ).

fof(c_0_336,plain,
    ! [X9,X10,X11] : lhs_atom12(X9,X10,X11),
    inference(variable_rename,[status(thm)],[c_0_197]) ).

fof(c_0_337,plain,
    ! [X9,X10,X11] : lhs_atom8(X9,X10,X11),
    inference(variable_rename,[status(thm)],[c_0_198]) ).

fof(c_0_338,plain,
    ! [X5,X6,X7] : lhs_atom2(X5,X6,X7),
    inference(variable_rename,[status(thm)],[c_0_199]) ).

fof(c_0_339,plain,
    ! [X4,X5,X6] : lhs_atom1(X4,X5,X6),
    inference(variable_rename,[status(thm)],[c_0_200]) ).

fof(c_0_340,plain,
    ! [X4,X5] : lhs_atom134(X4,X5),
    inference(variable_rename,[status(thm)],[c_0_201]) ).

fof(c_0_341,plain,
    ! [X43,X44] : lhs_atom113(X43,X44),
    inference(variable_rename,[status(thm)],[c_0_202]) ).

fof(c_0_342,plain,
    ! [X32,X33] : lhs_atom101(X32,X33),
    inference(variable_rename,[status(thm)],[c_0_203]) ).

fof(c_0_343,plain,
    ! [X21,X22] : lhs_atom96(X21,X22),
    inference(variable_rename,[status(thm)],[c_0_204]) ).

fof(c_0_344,plain,
    ! [X33,X34] : lhs_atom94(X33,X34),
    inference(variable_rename,[status(thm)],[c_0_205]) ).

fof(c_0_345,plain,
    ! [X32,X33] : lhs_atom93(X32,X33),
    inference(variable_rename,[status(thm)],[c_0_206]) ).

fof(c_0_346,plain,
    ! [X14,X15] : lhs_atom78(X14,X15),
    inference(variable_rename,[status(thm)],[c_0_207]) ).

fof(c_0_347,plain,
    ! [X8,X9] : lhs_atom71(X8,X9),
    inference(variable_rename,[status(thm)],[c_0_208]) ).

fof(c_0_348,plain,
    ! [X8,X9] : lhs_atom71(X8,X9),
    inference(variable_rename,[status(thm)],[c_0_209]) ).

fof(c_0_349,plain,
    ! [X9,X10] : lhs_atom69(X9,X10),
    inference(variable_rename,[status(thm)],[c_0_210]) ).

fof(c_0_350,plain,
    ! [X4,X5] : lhs_atom70(X4,X5),
    inference(variable_rename,[status(thm)],[c_0_211]) ).

fof(c_0_351,plain,
    ! [X9,X10] : lhs_atom69(X9,X10),
    inference(variable_rename,[status(thm)],[c_0_212]) ).

fof(c_0_352,plain,
    ! [X13,X14] : lhs_atom34(X13,X14),
    inference(variable_rename,[status(thm)],[c_0_213]) ).

fof(c_0_353,plain,
    ! [X9,X10] : lhs_atom33(X9,X10),
    inference(variable_rename,[status(thm)],[c_0_214]) ).

fof(c_0_354,plain,
    ! [X9,X10] : lhs_atom32(X9,X10),
    inference(variable_rename,[status(thm)],[c_0_215]) ).

fof(c_0_355,plain,
    ! [X4,X5] : lhs_atom30(X4,X5),
    inference(variable_rename,[status(thm)],[c_0_216]) ).

fof(c_0_356,plain,
    ! [X4,X5] : lhs_atom29(X4,X5),
    inference(variable_rename,[status(thm)],[c_0_217]) ).

fof(c_0_357,plain,
    ! [X4,X5] : lhs_atom28(X4,X5),
    inference(variable_rename,[status(thm)],[c_0_218]) ).

fof(c_0_358,plain,
    ! [X4,X5] : lhs_atom27(X4,X5),
    inference(variable_rename,[status(thm)],[c_0_219]) ).

fof(c_0_359,plain,
    ! [X9,X10] : lhs_atom26(X9,X10),
    inference(variable_rename,[status(thm)],[c_0_220]) ).

fof(c_0_360,plain,
    ! [X4,X5] : lhs_atom24(X4,X5),
    inference(variable_rename,[status(thm)],[c_0_221]) ).

fof(c_0_361,plain,
    ! [X4,X5] : lhs_atom24(X4,X5),
    inference(variable_rename,[status(thm)],[c_0_222]) ).

fof(c_0_362,plain,
    ! [X9,X10] : lhs_atom23(X9,X10),
    inference(variable_rename,[status(thm)],[c_0_223]) ).

fof(c_0_363,plain,
    ! [X9,X10] : lhs_atom17(X9,X10),
    inference(variable_rename,[status(thm)],[c_0_224]) ).

fof(c_0_364,plain,
    ! [X9,X10] : lhs_atom10(X9,X10),
    inference(variable_rename,[status(thm)],[c_0_225]) ).

fof(c_0_365,plain,
    ! [X8,X9] : lhs_atom11(X8,X9),
    inference(variable_rename,[status(thm)],[c_0_226]) ).

fof(c_0_366,plain,
    ! [X9,X10] : lhs_atom10(X9,X10),
    inference(variable_rename,[status(thm)],[c_0_227]) ).

fof(c_0_367,plain,
    ! [X10,X11] : lhs_atom9(X10,X11),
    inference(variable_rename,[status(thm)],[c_0_228]) ).

fof(c_0_368,plain,
    ! [X4,X5] : lhs_atom6(X4,X5),
    inference(variable_rename,[status(thm)],[c_0_229]) ).

fof(c_0_369,plain,
    ! [X6,X7] : lhs_atom3(X6,X7),
    inference(variable_rename,[status(thm)],[c_0_230]) ).

fof(c_0_370,plain,
    ! [X10] : lhs_atom102(X10),
    inference(variable_rename,[status(thm)],[c_0_231]) ).

fof(c_0_371,plain,
    ! [X4] : lhs_atom86(X4),
    inference(variable_rename,[status(thm)],[c_0_232]) ).

fof(c_0_372,plain,
    ! [X10] : lhs_atom77(X10),
    inference(variable_rename,[status(thm)],[c_0_233]) ).

fof(c_0_373,plain,
    ! [X2] : lhs_atom76(X2),
    inference(variable_rename,[status(thm)],[c_0_234]) ).

fof(c_0_374,plain,
    ! [X20] : lhs_atom65(X20),
    inference(variable_rename,[status(thm)],[c_0_235]) ).

fof(c_0_375,plain,
    ! [X10] : lhs_atom64(X10),
    inference(variable_rename,[status(thm)],[c_0_236]) ).

fof(c_0_376,plain,
    ! [X4] : lhs_atom54(X4),
    inference(variable_rename,[status(thm)],[c_0_237]) ).

fof(c_0_377,plain,
    ! [X3] : lhs_atom47(X3),
    inference(variable_rename,[status(thm)],[c_0_238]) ).

fof(c_0_378,plain,
    ! [X3] : lhs_atom46(X3),
    inference(variable_rename,[status(thm)],[c_0_239]) ).

fof(c_0_379,plain,
    ! [X20] : lhs_atom45(X20),
    inference(variable_rename,[status(thm)],[c_0_240]) ).

fof(c_0_380,plain,
    ! [X4] : lhs_atom40(X4),
    inference(variable_rename,[status(thm)],[c_0_241]) ).

fof(c_0_381,plain,
    ! [X4] : lhs_atom25(X4),
    inference(variable_rename,[status(thm)],[c_0_242]) ).

fof(c_0_382,plain,
    ! [X4] : lhs_atom22(X4),
    inference(variable_rename,[status(thm)],[c_0_243]) ).

fof(c_0_383,plain,
    ! [X4] : lhs_atom21(X4),
    inference(variable_rename,[status(thm)],[c_0_244]) ).

fof(c_0_384,plain,
    ! [X4] : lhs_atom16(X4),
    inference(variable_rename,[status(thm)],[c_0_245]) ).

fof(c_0_385,plain,
    ! [X4] : lhs_atom7(X4),
    inference(variable_rename,[status(thm)],[c_0_246]) ).

fof(c_0_386,plain,
    ! [X4] : lhs_atom4(X4),
    inference(variable_rename,[status(thm)],[c_0_247]) ).

fof(c_0_387,plain,
    lhs_atom133,
    c_0_248 ).

fof(c_0_388,plain,
    lhs_atom132,
    c_0_249 ).

fof(c_0_389,plain,
    lhs_atom131,
    c_0_250 ).

fof(c_0_390,plain,
    lhs_atom130,
    c_0_251 ).

fof(c_0_391,plain,
    lhs_atom129,
    c_0_252 ).

fof(c_0_392,plain,
    lhs_atom128,
    c_0_253 ).

fof(c_0_393,plain,
    lhs_atom127,
    c_0_254 ).

fof(c_0_394,plain,
    lhs_atom126,
    c_0_255 ).

fof(c_0_395,plain,
    lhs_atom125,
    c_0_256 ).

fof(c_0_396,plain,
    lhs_atom124,
    c_0_257 ).

fof(c_0_397,plain,
    lhs_atom123,
    c_0_258 ).

fof(c_0_398,plain,
    lhs_atom122,
    c_0_259 ).

fof(c_0_399,plain,
    lhs_atom121,
    c_0_260 ).

fof(c_0_400,plain,
    lhs_atom120,
    c_0_261 ).

fof(c_0_401,plain,
    lhs_atom119,
    c_0_262 ).

fof(c_0_402,plain,
    lhs_atom118,
    c_0_263 ).

fof(c_0_403,plain,
    lhs_atom117,
    c_0_264 ).

fof(c_0_404,plain,
    lhs_atom116,
    c_0_265 ).

fof(c_0_405,plain,
    lhs_atom105,
    c_0_266 ).

fof(c_0_406,plain,
    lhs_atom108,
    c_0_267 ).

fof(c_0_407,plain,
    lhs_atom107,
    c_0_268 ).

fof(c_0_408,plain,
    lhs_atom106,
    c_0_269 ).

fof(c_0_409,plain,
    lhs_atom105,
    c_0_270 ).

fof(c_0_410,plain,
    lhs_atom104,
    c_0_271 ).

fof(c_0_411,plain,
    lhs_atom100,
    c_0_272 ).

fof(c_0_412,plain,
    lhs_atom92,
    c_0_273 ).

fof(c_0_413,plain,
    lhs_atom81,
    c_0_274 ).

fof(c_0_414,plain,
    lhs_atom67,
    c_0_275 ).

fof(c_0_415,plain,
    lhs_atom44,
    c_0_276 ).

fof(c_0_416,plain,
    lhs_atom35,
    c_0_277 ).

cnf(c_0_417,plain,
    lhs_atom103(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_278]) ).

cnf(c_0_418,plain,
    lhs_atom95(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_279]) ).

cnf(c_0_419,plain,
    lhs_atom66(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_280]) ).

cnf(c_0_420,plain,
    lhs_atom63(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_281]) ).

cnf(c_0_421,plain,
    lhs_atom60(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_282]) ).

cnf(c_0_422,plain,
    lhs_atom42(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_283]) ).

cnf(c_0_423,plain,
    lhs_atom112(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_284]) ).

cnf(c_0_424,plain,
    lhs_atom111(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_285]) ).

cnf(c_0_425,plain,
    lhs_atom109(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_286]) ).

cnf(c_0_426,plain,
    lhs_atom97(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_287]) ).

cnf(c_0_427,plain,
    lhs_atom80(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_288]) ).

cnf(c_0_428,plain,
    lhs_atom68(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_289]) ).

cnf(c_0_429,plain,
    lhs_atom110(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_290]) ).

cnf(c_0_430,plain,
    lhs_atom99(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_291]) ).

cnf(c_0_431,plain,
    lhs_atom90(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_292]) ).

cnf(c_0_432,plain,
    lhs_atom89(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_293]) ).

cnf(c_0_433,plain,
    lhs_atom88(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_294]) ).

cnf(c_0_434,plain,
    lhs_atom87(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_295]) ).

cnf(c_0_435,plain,
    lhs_atom85(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_296]) ).

cnf(c_0_436,plain,
    lhs_atom75(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_297]) ).

cnf(c_0_437,plain,
    lhs_atom74(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_298]) ).

cnf(c_0_438,plain,
    lhs_atom73(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_299]) ).

cnf(c_0_439,plain,
    lhs_atom62(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_300]) ).

cnf(c_0_440,plain,
    lhs_atom61(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_301]) ).

cnf(c_0_441,plain,
    lhs_atom59(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_302]) ).

cnf(c_0_442,plain,
    lhs_atom58(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_303]) ).

cnf(c_0_443,plain,
    lhs_atom43(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_304]) ).

cnf(c_0_444,plain,
    lhs_atom41(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_305]) ).

cnf(c_0_445,plain,
    lhs_atom31(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_306]) ).

cnf(c_0_446,plain,
    lhs_atom18(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_307]) ).

cnf(c_0_447,plain,
    ( c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X1,X2) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X3,X2)
    | lhs_atom5(X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_308]) ).

cnf(c_0_448,plain,
    lhs_atom115(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_309]) ).

cnf(c_0_449,plain,
    lhs_atom114(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_310]) ).

cnf(c_0_450,plain,
    lhs_atom98(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_311]) ).

cnf(c_0_451,plain,
    lhs_atom91(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_312]) ).

cnf(c_0_452,plain,
    lhs_atom84(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_313]) ).

cnf(c_0_453,plain,
    lhs_atom83(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_314]) ).

cnf(c_0_454,plain,
    lhs_atom82(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_315]) ).

cnf(c_0_455,plain,
    lhs_atom79(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_316]) ).

cnf(c_0_456,plain,
    lhs_atom72(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_317]) ).

cnf(c_0_457,plain,
    lhs_atom57(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_318]) ).

cnf(c_0_458,plain,
    lhs_atom56(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_319]) ).

cnf(c_0_459,plain,
    lhs_atom55(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_320]) ).

cnf(c_0_460,plain,
    lhs_atom53(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_321]) ).

cnf(c_0_461,plain,
    lhs_atom52(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_322]) ).

cnf(c_0_462,plain,
    lhs_atom51(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_323]) ).

cnf(c_0_463,plain,
    lhs_atom50(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_324]) ).

cnf(c_0_464,plain,
    lhs_atom49(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_325]) ).

cnf(c_0_465,plain,
    lhs_atom48(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_326]) ).

cnf(c_0_466,plain,
    lhs_atom39(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_327]) ).

cnf(c_0_467,plain,
    lhs_atom38(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_328]) ).

cnf(c_0_468,plain,
    lhs_atom37(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_329]) ).

cnf(c_0_469,plain,
    lhs_atom36(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_330]) ).

cnf(c_0_470,plain,
    lhs_atom20(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_331]) ).

cnf(c_0_471,plain,
    lhs_atom19(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_332]) ).

cnf(c_0_472,plain,
    lhs_atom15(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_333]) ).

cnf(c_0_473,plain,
    lhs_atom14(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_334]) ).

cnf(c_0_474,plain,
    lhs_atom13(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_335]) ).

cnf(c_0_475,plain,
    lhs_atom12(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_336]) ).

cnf(c_0_476,plain,
    lhs_atom8(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_337]) ).

cnf(c_0_477,plain,
    lhs_atom2(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_338]) ).

cnf(c_0_478,plain,
    lhs_atom1(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_339]) ).

cnf(c_0_479,plain,
    lhs_atom134(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_340]) ).

cnf(c_0_480,plain,
    lhs_atom113(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_341]) ).

cnf(c_0_481,plain,
    lhs_atom101(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_342]) ).

cnf(c_0_482,plain,
    lhs_atom96(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_343]) ).

cnf(c_0_483,plain,
    lhs_atom94(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_344]) ).

cnf(c_0_484,plain,
    lhs_atom93(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_345]) ).

cnf(c_0_485,plain,
    lhs_atom78(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_346]) ).

cnf(c_0_486,plain,
    lhs_atom71(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_347]) ).

cnf(c_0_487,plain,
    lhs_atom71(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_348]) ).

cnf(c_0_488,plain,
    lhs_atom69(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_349]) ).

cnf(c_0_489,plain,
    lhs_atom70(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_350]) ).

cnf(c_0_490,plain,
    lhs_atom69(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_351]) ).

cnf(c_0_491,plain,
    lhs_atom34(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_352]) ).

cnf(c_0_492,plain,
    lhs_atom33(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_353]) ).

cnf(c_0_493,plain,
    lhs_atom32(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_354]) ).

cnf(c_0_494,plain,
    lhs_atom30(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_355]) ).

cnf(c_0_495,plain,
    lhs_atom29(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_356]) ).

cnf(c_0_496,plain,
    lhs_atom28(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_357]) ).

cnf(c_0_497,plain,
    lhs_atom27(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_358]) ).

cnf(c_0_498,plain,
    lhs_atom26(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_359]) ).

cnf(c_0_499,plain,
    lhs_atom24(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_360]) ).

cnf(c_0_500,plain,
    lhs_atom24(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_361]) ).

cnf(c_0_501,plain,
    lhs_atom23(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_362]) ).

cnf(c_0_502,plain,
    lhs_atom17(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_363]) ).

cnf(c_0_503,plain,
    lhs_atom10(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_364]) ).

cnf(c_0_504,plain,
    lhs_atom11(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_365]) ).

cnf(c_0_505,plain,
    lhs_atom10(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_366]) ).

cnf(c_0_506,plain,
    lhs_atom9(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_367]) ).

cnf(c_0_507,plain,
    lhs_atom6(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_368]) ).

cnf(c_0_508,plain,
    lhs_atom3(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_369]) ).

cnf(c_0_509,plain,
    lhs_atom102(X1),
    inference(split_conjunct,[status(thm)],[c_0_370]) ).

cnf(c_0_510,plain,
    lhs_atom86(X1),
    inference(split_conjunct,[status(thm)],[c_0_371]) ).

cnf(c_0_511,plain,
    lhs_atom77(X1),
    inference(split_conjunct,[status(thm)],[c_0_372]) ).

cnf(c_0_512,plain,
    lhs_atom76(X1),
    inference(split_conjunct,[status(thm)],[c_0_373]) ).

cnf(c_0_513,plain,
    lhs_atom65(X1),
    inference(split_conjunct,[status(thm)],[c_0_374]) ).

cnf(c_0_514,plain,
    lhs_atom64(X1),
    inference(split_conjunct,[status(thm)],[c_0_375]) ).

cnf(c_0_515,plain,
    lhs_atom54(X1),
    inference(split_conjunct,[status(thm)],[c_0_376]) ).

cnf(c_0_516,plain,
    lhs_atom47(X1),
    inference(split_conjunct,[status(thm)],[c_0_377]) ).

cnf(c_0_517,plain,
    lhs_atom46(X1),
    inference(split_conjunct,[status(thm)],[c_0_378]) ).

cnf(c_0_518,plain,
    lhs_atom45(X1),
    inference(split_conjunct,[status(thm)],[c_0_379]) ).

cnf(c_0_519,plain,
    lhs_atom40(X1),
    inference(split_conjunct,[status(thm)],[c_0_380]) ).

cnf(c_0_520,plain,
    lhs_atom25(X1),
    inference(split_conjunct,[status(thm)],[c_0_381]) ).

cnf(c_0_521,plain,
    lhs_atom22(X1),
    inference(split_conjunct,[status(thm)],[c_0_382]) ).

cnf(c_0_522,plain,
    lhs_atom21(X1),
    inference(split_conjunct,[status(thm)],[c_0_383]) ).

cnf(c_0_523,plain,
    lhs_atom16(X1),
    inference(split_conjunct,[status(thm)],[c_0_384]) ).

cnf(c_0_524,plain,
    lhs_atom7(X1),
    inference(split_conjunct,[status(thm)],[c_0_385]) ).

cnf(c_0_525,plain,
    lhs_atom4(X1),
    inference(split_conjunct,[status(thm)],[c_0_386]) ).

cnf(c_0_526,plain,
    lhs_atom133,
    inference(split_conjunct,[status(thm)],[c_0_387]) ).

cnf(c_0_527,plain,
    lhs_atom132,
    inference(split_conjunct,[status(thm)],[c_0_388]) ).

cnf(c_0_528,plain,
    lhs_atom131,
    inference(split_conjunct,[status(thm)],[c_0_389]) ).

cnf(c_0_529,plain,
    lhs_atom130,
    inference(split_conjunct,[status(thm)],[c_0_390]) ).

cnf(c_0_530,plain,
    lhs_atom129,
    inference(split_conjunct,[status(thm)],[c_0_391]) ).

cnf(c_0_531,plain,
    lhs_atom128,
    inference(split_conjunct,[status(thm)],[c_0_392]) ).

cnf(c_0_532,plain,
    lhs_atom127,
    inference(split_conjunct,[status(thm)],[c_0_393]) ).

cnf(c_0_533,plain,
    lhs_atom126,
    inference(split_conjunct,[status(thm)],[c_0_394]) ).

cnf(c_0_534,plain,
    lhs_atom125,
    inference(split_conjunct,[status(thm)],[c_0_395]) ).

cnf(c_0_535,plain,
    lhs_atom124,
    inference(split_conjunct,[status(thm)],[c_0_396]) ).

cnf(c_0_536,plain,
    lhs_atom123,
    inference(split_conjunct,[status(thm)],[c_0_397]) ).

cnf(c_0_537,plain,
    lhs_atom122,
    inference(split_conjunct,[status(thm)],[c_0_398]) ).

cnf(c_0_538,plain,
    lhs_atom121,
    inference(split_conjunct,[status(thm)],[c_0_399]) ).

cnf(c_0_539,plain,
    lhs_atom120,
    inference(split_conjunct,[status(thm)],[c_0_400]) ).

cnf(c_0_540,plain,
    lhs_atom119,
    inference(split_conjunct,[status(thm)],[c_0_401]) ).

cnf(c_0_541,plain,
    lhs_atom118,
    inference(split_conjunct,[status(thm)],[c_0_402]) ).

cnf(c_0_542,plain,
    lhs_atom117,
    inference(split_conjunct,[status(thm)],[c_0_403]) ).

cnf(c_0_543,plain,
    lhs_atom116,
    inference(split_conjunct,[status(thm)],[c_0_404]) ).

cnf(c_0_544,plain,
    lhs_atom105,
    inference(split_conjunct,[status(thm)],[c_0_405]) ).

cnf(c_0_545,plain,
    lhs_atom108,
    inference(split_conjunct,[status(thm)],[c_0_406]) ).

cnf(c_0_546,plain,
    lhs_atom107,
    inference(split_conjunct,[status(thm)],[c_0_407]) ).

cnf(c_0_547,plain,
    lhs_atom106,
    inference(split_conjunct,[status(thm)],[c_0_408]) ).

cnf(c_0_548,plain,
    lhs_atom105,
    inference(split_conjunct,[status(thm)],[c_0_409]) ).

cnf(c_0_549,plain,
    lhs_atom104,
    inference(split_conjunct,[status(thm)],[c_0_410]) ).

cnf(c_0_550,plain,
    lhs_atom100,
    inference(split_conjunct,[status(thm)],[c_0_411]) ).

cnf(c_0_551,plain,
    lhs_atom92,
    inference(split_conjunct,[status(thm)],[c_0_412]) ).

cnf(c_0_552,plain,
    lhs_atom81,
    inference(split_conjunct,[status(thm)],[c_0_413]) ).

cnf(c_0_553,plain,
    lhs_atom67,
    inference(split_conjunct,[status(thm)],[c_0_414]) ).

cnf(c_0_554,plain,
    lhs_atom44,
    inference(split_conjunct,[status(thm)],[c_0_415]) ).

cnf(c_0_555,plain,
    lhs_atom35,
    inference(split_conjunct,[status(thm)],[c_0_416]) ).

cnf(c_0_556,plain,
    lhs_atom103(X1,X2,X3,X4,X5,X6),
    c_0_417,
    [final] ).

cnf(c_0_557,plain,
    lhs_atom95(X1,X2,X3,X4,X5,X6),
    c_0_418,
    [final] ).

cnf(c_0_558,plain,
    lhs_atom66(X1,X2,X3,X4,X5,X6),
    c_0_419,
    [final] ).

cnf(c_0_559,plain,
    lhs_atom63(X1,X2,X3,X4,X5,X6),
    c_0_420,
    [final] ).

cnf(c_0_560,plain,
    lhs_atom60(X1,X2,X3,X4,X5,X6),
    c_0_421,
    [final] ).

cnf(c_0_561,plain,
    lhs_atom42(X1,X2,X3,X4,X5,X6),
    c_0_422,
    [final] ).

cnf(c_0_562,plain,
    lhs_atom112(X1,X2,X3,X4,X5),
    c_0_423,
    [final] ).

cnf(c_0_563,plain,
    lhs_atom111(X1,X2,X3,X4,X5),
    c_0_424,
    [final] ).

cnf(c_0_564,plain,
    lhs_atom109(X1,X2,X3,X4,X5),
    c_0_425,
    [final] ).

cnf(c_0_565,plain,
    lhs_atom97(X1,X2,X3,X4,X5),
    c_0_426,
    [final] ).

cnf(c_0_566,plain,
    lhs_atom80(X1,X2,X3,X4,X5),
    c_0_427,
    [final] ).

cnf(c_0_567,plain,
    lhs_atom68(X1,X2,X3,X4,X5),
    c_0_428,
    [final] ).

cnf(c_0_568,plain,
    lhs_atom110(X1,X2,X3,X4),
    c_0_429,
    [final] ).

cnf(c_0_569,plain,
    lhs_atom99(X1,X2,X3,X4),
    c_0_430,
    [final] ).

cnf(c_0_570,plain,
    lhs_atom90(X1,X2,X3,X4),
    c_0_431,
    [final] ).

cnf(c_0_571,plain,
    lhs_atom89(X1,X2,X3,X4),
    c_0_432,
    [final] ).

cnf(c_0_572,plain,
    lhs_atom88(X1,X2,X3,X4),
    c_0_433,
    [final] ).

cnf(c_0_573,plain,
    lhs_atom87(X1,X2,X3,X4),
    c_0_434,
    [final] ).

cnf(c_0_574,plain,
    lhs_atom85(X1,X2,X3,X4),
    c_0_435,
    [final] ).

cnf(c_0_575,plain,
    lhs_atom75(X1,X2,X3,X4),
    c_0_436,
    [final] ).

cnf(c_0_576,plain,
    lhs_atom74(X1,X2,X3,X4),
    c_0_437,
    [final] ).

cnf(c_0_577,plain,
    lhs_atom73(X1,X2,X3,X4),
    c_0_438,
    [final] ).

cnf(c_0_578,plain,
    lhs_atom62(X1,X2,X3,X4),
    c_0_439,
    [final] ).

cnf(c_0_579,plain,
    lhs_atom61(X1,X2,X3,X4),
    c_0_440,
    [final] ).

cnf(c_0_580,plain,
    lhs_atom59(X1,X2,X3,X4),
    c_0_441,
    [final] ).

cnf(c_0_581,plain,
    lhs_atom58(X1,X2,X3,X4),
    c_0_442,
    [final] ).

cnf(c_0_582,plain,
    lhs_atom43(X1,X2,X3,X4),
    c_0_443,
    [final] ).

cnf(c_0_583,plain,
    lhs_atom41(X1,X2,X3,X4),
    c_0_444,
    [final] ).

cnf(c_0_584,plain,
    lhs_atom31(X1,X2,X3,X4),
    c_0_445,
    [final] ).

cnf(c_0_585,plain,
    lhs_atom18(X1,X2,X3,X4),
    c_0_446,
    [final] ).

cnf(c_0_586,plain,
    ( c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X1,X2) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X3,X2)
    | lhs_atom5(X3,X1,X2) ),
    c_0_447,
    [final] ).

cnf(c_0_587,plain,
    lhs_atom115(X1,X2,X3),
    c_0_448,
    [final] ).

cnf(c_0_588,plain,
    lhs_atom114(X1,X2,X3),
    c_0_449,
    [final] ).

cnf(c_0_589,plain,
    lhs_atom98(X1,X2,X3),
    c_0_450,
    [final] ).

cnf(c_0_590,plain,
    lhs_atom91(X1,X2,X3),
    c_0_451,
    [final] ).

cnf(c_0_591,plain,
    lhs_atom84(X1,X2,X3),
    c_0_452,
    [final] ).

cnf(c_0_592,plain,
    lhs_atom83(X1,X2,X3),
    c_0_453,
    [final] ).

cnf(c_0_593,plain,
    lhs_atom82(X1,X2,X3),
    c_0_454,
    [final] ).

cnf(c_0_594,plain,
    lhs_atom79(X1,X2,X3),
    c_0_455,
    [final] ).

cnf(c_0_595,plain,
    lhs_atom72(X1,X2,X3),
    c_0_456,
    [final] ).

cnf(c_0_596,plain,
    lhs_atom57(X1,X2,X3),
    c_0_457,
    [final] ).

cnf(c_0_597,plain,
    lhs_atom56(X1,X2,X3),
    c_0_458,
    [final] ).

cnf(c_0_598,plain,
    lhs_atom55(X1,X2,X3),
    c_0_459,
    [final] ).

cnf(c_0_599,plain,
    lhs_atom53(X1,X2,X3),
    c_0_460,
    [final] ).

cnf(c_0_600,plain,
    lhs_atom52(X1,X2,X3),
    c_0_461,
    [final] ).

cnf(c_0_601,plain,
    lhs_atom51(X1,X2,X3),
    c_0_462,
    [final] ).

cnf(c_0_602,plain,
    lhs_atom50(X1,X2,X3),
    c_0_463,
    [final] ).

cnf(c_0_603,plain,
    lhs_atom49(X1,X2,X3),
    c_0_464,
    [final] ).

cnf(c_0_604,plain,
    lhs_atom48(X1,X2,X3),
    c_0_465,
    [final] ).

cnf(c_0_605,plain,
    lhs_atom39(X1,X2,X3),
    c_0_466,
    [final] ).

cnf(c_0_606,plain,
    lhs_atom38(X1,X2,X3),
    c_0_467,
    [final] ).

cnf(c_0_607,plain,
    lhs_atom37(X1,X2,X3),
    c_0_468,
    [final] ).

cnf(c_0_608,plain,
    lhs_atom36(X1,X2,X3),
    c_0_469,
    [final] ).

cnf(c_0_609,plain,
    lhs_atom20(X1,X2,X3),
    c_0_470,
    [final] ).

cnf(c_0_610,plain,
    lhs_atom19(X1,X2,X3),
    c_0_471,
    [final] ).

cnf(c_0_611,plain,
    lhs_atom15(X1,X2,X3),
    c_0_472,
    [final] ).

cnf(c_0_612,plain,
    lhs_atom14(X1,X2,X3),
    c_0_473,
    [final] ).

cnf(c_0_613,plain,
    lhs_atom13(X1,X2,X3),
    c_0_474,
    [final] ).

cnf(c_0_614,plain,
    lhs_atom12(X1,X2,X3),
    c_0_475,
    [final] ).

cnf(c_0_615,plain,
    lhs_atom8(X1,X2,X3),
    c_0_476,
    [final] ).

cnf(c_0_616,plain,
    lhs_atom2(X1,X2,X3),
    c_0_477,
    [final] ).

cnf(c_0_617,plain,
    lhs_atom1(X1,X2,X3),
    c_0_478,
    [final] ).

cnf(c_0_618,plain,
    lhs_atom134(X1,X2),
    c_0_479,
    [final] ).

cnf(c_0_619,plain,
    lhs_atom113(X1,X2),
    c_0_480,
    [final] ).

cnf(c_0_620,plain,
    lhs_atom101(X1,X2),
    c_0_481,
    [final] ).

cnf(c_0_621,plain,
    lhs_atom96(X1,X2),
    c_0_482,
    [final] ).

cnf(c_0_622,plain,
    lhs_atom94(X1,X2),
    c_0_483,
    [final] ).

cnf(c_0_623,plain,
    lhs_atom93(X1,X2),
    c_0_484,
    [final] ).

cnf(c_0_624,plain,
    lhs_atom78(X1,X2),
    c_0_485,
    [final] ).

cnf(c_0_625,plain,
    lhs_atom71(X1,X2),
    c_0_486,
    [final] ).

cnf(c_0_626,plain,
    lhs_atom71(X1,X2),
    c_0_487,
    [final] ).

cnf(c_0_627,plain,
    lhs_atom69(X1,X2),
    c_0_488,
    [final] ).

cnf(c_0_628,plain,
    lhs_atom70(X1,X2),
    c_0_489,
    [final] ).

cnf(c_0_629,plain,
    lhs_atom69(X1,X2),
    c_0_490,
    [final] ).

cnf(c_0_630,plain,
    lhs_atom34(X1,X2),
    c_0_491,
    [final] ).

cnf(c_0_631,plain,
    lhs_atom33(X1,X2),
    c_0_492,
    [final] ).

cnf(c_0_632,plain,
    lhs_atom32(X1,X2),
    c_0_493,
    [final] ).

cnf(c_0_633,plain,
    lhs_atom30(X1,X2),
    c_0_494,
    [final] ).

cnf(c_0_634,plain,
    lhs_atom29(X1,X2),
    c_0_495,
    [final] ).

cnf(c_0_635,plain,
    lhs_atom28(X1,X2),
    c_0_496,
    [final] ).

cnf(c_0_636,plain,
    lhs_atom27(X1,X2),
    c_0_497,
    [final] ).

cnf(c_0_637,plain,
    lhs_atom26(X1,X2),
    c_0_498,
    [final] ).

cnf(c_0_638,plain,
    lhs_atom24(X1,X2),
    c_0_499,
    [final] ).

cnf(c_0_639,plain,
    lhs_atom24(X1,X2),
    c_0_500,
    [final] ).

cnf(c_0_640,plain,
    lhs_atom23(X1,X2),
    c_0_501,
    [final] ).

cnf(c_0_641,plain,
    lhs_atom17(X1,X2),
    c_0_502,
    [final] ).

cnf(c_0_642,plain,
    lhs_atom10(X1,X2),
    c_0_503,
    [final] ).

cnf(c_0_643,plain,
    lhs_atom11(X1,X2),
    c_0_504,
    [final] ).

cnf(c_0_644,plain,
    lhs_atom10(X1,X2),
    c_0_505,
    [final] ).

cnf(c_0_645,plain,
    lhs_atom9(X1,X2),
    c_0_506,
    [final] ).

cnf(c_0_646,plain,
    lhs_atom6(X1,X2),
    c_0_507,
    [final] ).

cnf(c_0_647,plain,
    lhs_atom3(X1,X2),
    c_0_508,
    [final] ).

cnf(c_0_648,plain,
    lhs_atom102(X1),
    c_0_509,
    [final] ).

cnf(c_0_649,plain,
    lhs_atom86(X1),
    c_0_510,
    [final] ).

cnf(c_0_650,plain,
    lhs_atom77(X1),
    c_0_511,
    [final] ).

cnf(c_0_651,plain,
    lhs_atom76(X1),
    c_0_512,
    [final] ).

cnf(c_0_652,plain,
    lhs_atom65(X1),
    c_0_513,
    [final] ).

cnf(c_0_653,plain,
    lhs_atom64(X1),
    c_0_514,
    [final] ).

cnf(c_0_654,plain,
    lhs_atom54(X1),
    c_0_515,
    [final] ).

cnf(c_0_655,plain,
    lhs_atom47(X1),
    c_0_516,
    [final] ).

cnf(c_0_656,plain,
    lhs_atom46(X1),
    c_0_517,
    [final] ).

cnf(c_0_657,plain,
    lhs_atom45(X1),
    c_0_518,
    [final] ).

cnf(c_0_658,plain,
    lhs_atom40(X1),
    c_0_519,
    [final] ).

cnf(c_0_659,plain,
    lhs_atom25(X1),
    c_0_520,
    [final] ).

cnf(c_0_660,plain,
    lhs_atom22(X1),
    c_0_521,
    [final] ).

cnf(c_0_661,plain,
    lhs_atom21(X1),
    c_0_522,
    [final] ).

cnf(c_0_662,plain,
    lhs_atom16(X1),
    c_0_523,
    [final] ).

cnf(c_0_663,plain,
    lhs_atom7(X1),
    c_0_524,
    [final] ).

cnf(c_0_664,plain,
    lhs_atom4(X1),
    c_0_525,
    [final] ).

cnf(c_0_665,plain,
    lhs_atom133,
    c_0_526,
    [final] ).

cnf(c_0_666,plain,
    lhs_atom132,
    c_0_527,
    [final] ).

cnf(c_0_667,plain,
    lhs_atom131,
    c_0_528,
    [final] ).

cnf(c_0_668,plain,
    lhs_atom130,
    c_0_529,
    [final] ).

cnf(c_0_669,plain,
    lhs_atom129,
    c_0_530,
    [final] ).

cnf(c_0_670,plain,
    lhs_atom128,
    c_0_531,
    [final] ).

cnf(c_0_671,plain,
    lhs_atom127,
    c_0_532,
    [final] ).

cnf(c_0_672,plain,
    lhs_atom126,
    c_0_533,
    [final] ).

cnf(c_0_673,plain,
    lhs_atom125,
    c_0_534,
    [final] ).

cnf(c_0_674,plain,
    lhs_atom124,
    c_0_535,
    [final] ).

cnf(c_0_675,plain,
    lhs_atom123,
    c_0_536,
    [final] ).

cnf(c_0_676,plain,
    lhs_atom122,
    c_0_537,
    [final] ).

cnf(c_0_677,plain,
    lhs_atom121,
    c_0_538,
    [final] ).

cnf(c_0_678,plain,
    lhs_atom120,
    c_0_539,
    [final] ).

cnf(c_0_679,plain,
    lhs_atom119,
    c_0_540,
    [final] ).

cnf(c_0_680,plain,
    lhs_atom118,
    c_0_541,
    [final] ).

cnf(c_0_681,plain,
    lhs_atom117,
    c_0_542,
    [final] ).

cnf(c_0_682,plain,
    lhs_atom116,
    c_0_543,
    [final] ).

cnf(c_0_683,plain,
    lhs_atom105,
    c_0_544,
    [final] ).

cnf(c_0_684,plain,
    lhs_atom108,
    c_0_545,
    [final] ).

cnf(c_0_685,plain,
    lhs_atom107,
    c_0_546,
    [final] ).

cnf(c_0_686,plain,
    lhs_atom106,
    c_0_547,
    [final] ).

cnf(c_0_687,plain,
    lhs_atom105,
    c_0_548,
    [final] ).

cnf(c_0_688,plain,
    lhs_atom104,
    c_0_549,
    [final] ).

cnf(c_0_689,plain,
    lhs_atom100,
    c_0_550,
    [final] ).

cnf(c_0_690,plain,
    lhs_atom92,
    c_0_551,
    [final] ).

cnf(c_0_691,plain,
    lhs_atom81,
    c_0_552,
    [final] ).

cnf(c_0_692,plain,
    lhs_atom67,
    c_0_553,
    [final] ).

cnf(c_0_693,plain,
    lhs_atom44,
    c_0_554,
    [final] ).

cnf(c_0_694,plain,
    lhs_atom35,
    c_0_555,
    [final] ).

% End CNF derivation
cnf(c_0_586_0,axiom,
    ( c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X1,X2) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X3,X2)
    | c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X1,X2) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X3,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_586,def_lhs_atom5]) ).

cnf(c_0_556_0,axiom,
    c_List_Ofoldr(X3,c_List_Oappend(X2,X1,X5),X4,X5,X6) = c_List_Ofoldr(X3,X2,c_List_Ofoldr(X3,X1,X4,X5,X6),X5,X6),
    inference(unfold_definition,[status(thm)],[c_0_556,def_lhs_atom103]) ).

cnf(c_0_557_0,axiom,
    c_List_Ofoldr(X3,c_List_Olist_OCons(X2,X1,X5),X4,X5,X6) = hAPP(hAPP(X3,X2),c_List_Ofoldr(X3,X1,X4,X5,X6)),
    inference(unfold_definition,[status(thm)],[c_0_557,def_lhs_atom95]) ).

cnf(c_0_558_0,axiom,
    c_Lambda_OdB_OdB__case(X3,X2,X1,hAPP(hAPP(c_Lambda_OdB_OApp,X5),X4),X6) = hAPP(hAPP(X2,X5),X4),
    inference(unfold_definition,[status(thm)],[c_0_558,def_lhs_atom66]) ).

cnf(c_0_559_0,axiom,
    c_List_Ofoldl(X3,X4,c_List_Olist_OCons(X2,X1,X5),X6,X5) = c_List_Ofoldl(X3,hAPP(hAPP(X3,X4),X2),X1,X6,X5),
    inference(unfold_definition,[status(thm)],[c_0_559,def_lhs_atom63]) ).

cnf(c_0_560_0,axiom,
    c_Lambda_OdB_OdB__rec(X3,X2,X1,hAPP(hAPP(c_Lambda_OdB_OApp,X5),X4),X6) = hAPP(hAPP(hAPP(hAPP(X2,X5),X4),c_Lambda_OdB_OdB__rec(X3,X2,X1,X5,X6)),c_Lambda_OdB_OdB__rec(X3,X2,X1,X4,X6)),
    inference(unfold_definition,[status(thm)],[c_0_560,def_lhs_atom60]) ).

cnf(c_0_561_0,axiom,
    c_List_Ofoldl(X3,X4,c_List_Oappend(X2,X1,X5),X6,X5) = c_List_Ofoldl(X3,c_List_Ofoldl(X3,X4,X2,X6,X5),X1,X6,X5),
    inference(unfold_definition,[status(thm)],[c_0_561,def_lhs_atom42]) ).

cnf(c_0_562_0,axiom,
    c_Type_Otype_Otype__case(X4,X3,hAPP(hAPP(c_Type_Otype_OFun,X2),X1),X5) = hAPP(hAPP(X3,X2),X1),
    inference(unfold_definition,[status(thm)],[c_0_562,def_lhs_atom112]) ).

cnf(c_0_563_0,axiom,
    c_Type_Otype_Otype__rec(X4,X3,hAPP(hAPP(c_Type_Otype_OFun,X2),X1),X5) = hAPP(hAPP(hAPP(hAPP(X3,X2),X1),c_Type_Otype_Otype__rec(X4,X3,X2,X5)),c_Type_Otype_Otype__rec(X4,X3,X1,X5)),
    inference(unfold_definition,[status(thm)],[c_0_563,def_lhs_atom111]) ).

cnf(c_0_564_0,axiom,
    c_Lambda_OdB_OdB__case(X4,X3,X2,c_Lambda_OdB_OVar(X1),X5) = hAPP(X4,X1),
    inference(unfold_definition,[status(thm)],[c_0_564,def_lhs_atom109]) ).

cnf(c_0_565_0,axiom,
    c_Lambda_OdB_OdB__rec(X4,X3,X2,c_Lambda_OdB_OVar(X1),X5) = hAPP(X4,X1),
    inference(unfold_definition,[status(thm)],[c_0_565,def_lhs_atom97]) ).

cnf(c_0_566_0,axiom,
    c_Lambda_OdB_OdB__rec(X3,X2,X1,c_Lambda_OdB_OAbs(X4),X5) = hAPP(hAPP(X1,X4),c_Lambda_OdB_OdB__rec(X3,X2,X1,X4,X5)),
    inference(unfold_definition,[status(thm)],[c_0_566,def_lhs_atom80]) ).

cnf(c_0_567_0,axiom,
    c_Lambda_OdB_OdB__case(X3,X2,X1,c_Lambda_OdB_OAbs(X4),X5) = hAPP(X1,X4),
    inference(unfold_definition,[status(thm)],[c_0_567,def_lhs_atom68]) ).

cnf(c_0_568_0,axiom,
    c_List_Ofoldr(X1,c_List_Olist_ONil(X3),X2,X3,X4) = X2,
    inference(unfold_definition,[status(thm)],[c_0_568,def_lhs_atom110]) ).

cnf(c_0_569_0,axiom,
    hAPP(c_Type_Oshift(X2,X1,X3,X4),X1) = X3,
    inference(unfold_definition,[status(thm)],[c_0_569,def_lhs_atom99]) ).

cnf(c_0_570_0,axiom,
    c_List_Oappend(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Oappend(X1,X2,X4),X3,X4),
    inference(unfold_definition,[status(thm)],[c_0_570,def_lhs_atom90]) ).

cnf(c_0_571_0,axiom,
    c_List_Oappend(c_List_Oappend(X1,X3,X4),X2,X4) = c_List_Oappend(X1,c_List_Oappend(X3,X2,X4),X4),
    inference(unfold_definition,[status(thm)],[c_0_571,def_lhs_atom89]) ).

cnf(c_0_572_0,axiom,
    c_List_Oappend(X2,c_List_Oappend(X1,X3,X4),X4) = c_List_Oappend(c_List_Oappend(X2,X1,X4),X3,X4),
    inference(unfold_definition,[status(thm)],[c_0_572,def_lhs_atom88]) ).

cnf(c_0_573_0,axiom,
    c_List_Oappend(c_List_Oappend(X3,X2,X4),X1,X4) = c_List_Oappend(X3,c_List_Oappend(X2,X1,X4),X4),
    inference(unfold_definition,[status(thm)],[c_0_573,def_lhs_atom87]) ).

cnf(c_0_574_0,axiom,
    c_Lambda_Osubst(hAPP(hAPP(c_Lambda_OdB_OApp,X2),X1),X3,X4) = hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Osubst(X2,X3,X4)),c_Lambda_Osubst(X1,X3,X4)),
    inference(unfold_definition,[status(thm)],[c_0_574,def_lhs_atom85]) ).

cnf(c_0_575_0,axiom,
    c_Type_Otype_Otype__rec(X3,X2,c_Type_Otype_OAtom(X1),X4) = hAPP(X3,X1),
    inference(unfold_definition,[status(thm)],[c_0_575,def_lhs_atom75]) ).

cnf(c_0_576_0,axiom,
    c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X3),X2,tc_Lambda_OdB,tc_Lambda_OdB),
    inference(unfold_definition,[status(thm)],[c_0_576,def_lhs_atom74]) ).

cnf(c_0_577_0,axiom,
    c_List_Ofoldl(X1,X2,c_List_Olist_ONil(X3),X4,X3) = X2,
    inference(unfold_definition,[status(thm)],[c_0_577,def_lhs_atom73]) ).

cnf(c_0_578_0,axiom,
    c_List_Oappend(c_List_Olist_OCons(X3,X2,X4),X1,X4) = c_List_Olist_OCons(X3,c_List_Oappend(X2,X1,X4),X4),
    inference(unfold_definition,[status(thm)],[c_0_578,def_lhs_atom62]) ).

cnf(c_0_579_0,axiom,
    c_List_Oappend(c_List_Olist_OCons(X3,X2,X4),X1,X4) = c_List_Olist_OCons(X3,c_List_Oappend(X2,X1,X4),X4),
    inference(unfold_definition,[status(thm)],[c_0_579,def_lhs_atom61]) ).

cnf(c_0_580_0,axiom,
    c_List_Olist_OCons(X3,c_List_Oappend(X2,X1,X4),X4) = c_List_Oappend(c_List_Olist_OCons(X3,X2,X4),X1,X4),
    inference(unfold_definition,[status(thm)],[c_0_580,def_lhs_atom59]) ).

cnf(c_0_581_0,axiom,
    c_List_Olist_OCons(X3,c_List_Oappend(X2,X1,X4),X4) = c_List_Oappend(c_List_Olist_OCons(X3,X2,X4),X1,X4),
    inference(unfold_definition,[status(thm)],[c_0_581,def_lhs_atom58]) ).

cnf(c_0_582_0,axiom,
    c_Type_Otype_Otype__case(X3,X2,c_Type_Otype_OAtom(X1),X4) = hAPP(X3,X1),
    inference(unfold_definition,[status(thm)],[c_0_582,def_lhs_atom43]) ).

cnf(c_0_583_0,axiom,
    hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X3)),X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X2,tc_Lambda_OdB,tc_Lambda_OdB),
    inference(unfold_definition,[status(thm)],[c_0_583,def_lhs_atom41]) ).

cnf(c_0_584_0,axiom,
    c_List_Oappend(c_List_Oreplicate(X3,X2,X4),c_List_Olist_OCons(X2,X1,X4),X4) = c_List_Olist_OCons(X2,c_List_Oappend(c_List_Oreplicate(X3,X2,X4),X1,X4),X4),
    inference(unfold_definition,[status(thm)],[c_0_584,def_lhs_atom31]) ).

cnf(c_0_585_0,axiom,
    c_List_Oappend(c_List_Oreplicate(X2,X1,X4),c_List_Oreplicate(X3,X1,X4),X4) = c_List_Oappend(c_List_Oreplicate(X3,X1,X4),c_List_Oreplicate(X2,X1,X4),X4),
    inference(unfold_definition,[status(thm)],[c_0_585,def_lhs_atom18]) ).

cnf(c_0_587_0,axiom,
    hAPP(hAPP(c_Lambda_OdB_OApp,X3),X2) != c_Lambda_OdB_OVar(X1),
    inference(unfold_definition,[status(thm)],[c_0_587,def_lhs_atom115]) ).

cnf(c_0_588_0,axiom,
    c_Type_Otype_OAtom(X3) != hAPP(hAPP(c_Type_Otype_OFun,X2),X1),
    inference(unfold_definition,[status(thm)],[c_0_588,def_lhs_atom114]) ).

cnf(c_0_589_0,axiom,
    c_Lambda_OdB_OVar(X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X3),X2),
    inference(unfold_definition,[status(thm)],[c_0_589,def_lhs_atom98]) ).

cnf(c_0_590_0,axiom,
    hAPP(hAPP(c_Type_Otype_OFun,X2),X1) != c_Type_Otype_OAtom(X3),
    inference(unfold_definition,[status(thm)],[c_0_590,def_lhs_atom91]) ).

cnf(c_0_591_0,axiom,
    hAPP(hAPP(c_Lambda_OdB_OApp,X3),X2) != c_Lambda_OdB_OAbs(X1),
    inference(unfold_definition,[status(thm)],[c_0_591,def_lhs_atom84]) ).

cnf(c_0_592_0,axiom,
    c_Lambda_OdB_OAbs(X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X3),X2),
    inference(unfold_definition,[status(thm)],[c_0_592,def_lhs_atom83]) ).

cnf(c_0_593_0,axiom,
    c_List_Oappend(c_List_Olist_ONil(X3),c_List_Olist_OCons(X2,X1,X3),X3) = c_List_Olist_OCons(X2,X1,X3),
    inference(unfold_definition,[status(thm)],[c_0_593,def_lhs_atom82]) ).

cnf(c_0_594_0,axiom,
    c_List_Olist_ONil(X3) != c_List_Olist_OCons(X2,X1,X3),
    inference(unfold_definition,[status(thm)],[c_0_594,def_lhs_atom79]) ).

cnf(c_0_595_0,axiom,
    c_Lambda_Olift(hAPP(hAPP(c_Lambda_OdB_OApp,X2),X1),X3) = hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Olift(X2,X3)),c_Lambda_Olift(X1,X3)),
    inference(unfold_definition,[status(thm)],[c_0_595,def_lhs_atom72]) ).

cnf(c_0_596_0,axiom,
    c_List_Olist_OCons(X2,X1,X3) != c_List_Olist_ONil(X3),
    inference(unfold_definition,[status(thm)],[c_0_596,def_lhs_atom57]) ).

cnf(c_0_597_0,axiom,
    c_List_Olist_OCons(X2,X1,X3) != c_List_Olist_ONil(X3),
    inference(unfold_definition,[status(thm)],[c_0_597,def_lhs_atom56]) ).

cnf(c_0_598_0,axiom,
    c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),c_List_Olist_OCons(X2,X1,X3),X3) = c_List_Olist_ONil(X3),
    inference(unfold_definition,[status(thm)],[c_0_598,def_lhs_atom55]) ).

cnf(c_0_599_0,axiom,
    c_List_Oappend(c_List_Oreplicate(X2,X1,X3),c_List_Olist_OCons(X1,c_List_Olist_ONil(X3),X3),X3) = c_List_Olist_OCons(X1,c_List_Oreplicate(X2,X1,X3),X3),
    inference(unfold_definition,[status(thm)],[c_0_599,def_lhs_atom53]) ).

cnf(c_0_600_0,axiom,
    c_List_Orotate1(c_List_Olist_OCons(X2,X1,X3),X3) = c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3),
    inference(unfold_definition,[status(thm)],[c_0_600,def_lhs_atom52]) ).

cnf(c_0_601_0,axiom,
    c_List_Orev(c_List_Oappend(c_List_Orev(X1,X3),c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3),X3) = c_List_Olist_OCons(X2,X1,X3),
    inference(unfold_definition,[status(thm)],[c_0_601,def_lhs_atom51]) ).

cnf(c_0_602_0,axiom,
    c_List_Orev(c_List_Olist_OCons(X2,X1,X3),X3) = c_List_Oappend(c_List_Orev(X1,X3),c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3),
    inference(unfold_definition,[status(thm)],[c_0_602,def_lhs_atom50]) ).

cnf(c_0_603_0,axiom,
    c_List_Obutlast(c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3),X3) = X1,
    inference(unfold_definition,[status(thm)],[c_0_603,def_lhs_atom49]) ).

cnf(c_0_604_0,axiom,
    c_List_Olast(c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3),X3) = X2,
    inference(unfold_definition,[status(thm)],[c_0_604,def_lhs_atom48]) ).

cnf(c_0_605_0,axiom,
    c_List_Olist_OCons(X2,X1,X3) = c_List_Oappend(c_List_Olist_ONil(X3),c_List_Olist_OCons(X2,X1,X3),X3),
    inference(unfold_definition,[status(thm)],[c_0_605,def_lhs_atom39]) ).

cnf(c_0_606_0,axiom,
    X1 != c_List_Olist_OCons(X2,X1,X3),
    inference(unfold_definition,[status(thm)],[c_0_606,def_lhs_atom38]) ).

cnf(c_0_607_0,axiom,
    c_List_Olist_OCons(X1,X2,X3) != X2,
    inference(unfold_definition,[status(thm)],[c_0_607,def_lhs_atom37]) ).

cnf(c_0_608_0,axiom,
    c_Lambda_Osubst(c_Lambda_Olift(X1,X3),X2,X3) = X1,
    inference(unfold_definition,[status(thm)],[c_0_608,def_lhs_atom36]) ).

cnf(c_0_609_0,axiom,
    c_Predicate_Oconversep(c_Predicate_Oconversep(X1,X3,X2),X2,X3) = X1,
    inference(unfold_definition,[status(thm)],[c_0_609,def_lhs_atom20]) ).

cnf(c_0_610_0,axiom,
    c_Nat_Osize__class_Osize(c_List_Oreplicate(X2,X1,X3),tc_List_Olist(X3)) = X2,
    inference(unfold_definition,[status(thm)],[c_0_610,def_lhs_atom19]) ).

cnf(c_0_611_0,axiom,
    ~ c_ListOrder_Ostep1(X2,X1,c_List_Olist_ONil(X3),X3),
    inference(unfold_definition,[status(thm)],[c_0_611,def_lhs_atom15]) ).

cnf(c_0_612_0,axiom,
    ~ c_ListOrder_Ostep1(X2,c_List_Olist_ONil(X3),X1,X3),
    inference(unfold_definition,[status(thm)],[c_0_612,def_lhs_atom14]) ).

cnf(c_0_613_0,axiom,
    c_List_Orev(c_List_Oreplicate(X2,X1,X3),X3) = c_List_Oreplicate(X2,X1,X3),
    inference(unfold_definition,[status(thm)],[c_0_613,def_lhs_atom13]) ).

cnf(c_0_614_0,axiom,
    c_List_Otake(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_List_Oappend(X2,X1,X3),X3) = X2,
    inference(unfold_definition,[status(thm)],[c_0_614,def_lhs_atom12]) ).

cnf(c_0_615_0,axiom,
    c_List_Orev(c_List_Oappend(X2,X1,X3),X3) = c_List_Oappend(c_List_Orev(X1,X3),c_List_Orev(X2,X3),X3),
    inference(unfold_definition,[status(thm)],[c_0_615,def_lhs_atom8]) ).

cnf(c_0_616_0,axiom,
    hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X3),X2),X2)),
    inference(unfold_definition,[status(thm)],[c_0_616,def_lhs_atom2]) ).

cnf(c_0_617_0,axiom,
    hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X2,X3),X1),X1)),
    inference(unfold_definition,[status(thm)],[c_0_617,def_lhs_atom1]) ).

cnf(c_0_618_0,axiom,
    hBOOL(hAPP(hAPP(c_fequal(X2),X1),X1)),
    inference(unfold_definition,[status(thm)],[c_0_618,def_lhs_atom134]) ).

cnf(c_0_619_0,axiom,
    c_Type_Otyping(X2,c_Lambda_OdB_OVar(X1),hAPP(X2,X1)),
    inference(unfold_definition,[status(thm)],[c_0_619,def_lhs_atom113]) ).

cnf(c_0_620_0,axiom,
    c_Lambda_OdB_OVar(X1) != c_Lambda_OdB_OAbs(X2),
    inference(unfold_definition,[status(thm)],[c_0_620,def_lhs_atom101]) ).

cnf(c_0_621_0,axiom,
    ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OVar(X2)),X1)),
    inference(unfold_definition,[status(thm)],[c_0_621,def_lhs_atom96]) ).

cnf(c_0_622_0,axiom,
    c_Lambda_Osubst(c_Lambda_OdB_OVar(X2),X1,X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_622,def_lhs_atom94]) ).

cnf(c_0_623_0,axiom,
    c_Lambda_OdB_OAbs(X2) != c_Lambda_OdB_OVar(X1),
    inference(unfold_definition,[status(thm)],[c_0_623,def_lhs_atom93]) ).

cnf(c_0_624_0,axiom,
    hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2)),X1)),c_Lambda_Osubst(X2,X1,c_HOL_Ozero__class_Ozero(tc_nat)))),
    inference(unfold_definition,[status(thm)],[c_0_624,def_lhs_atom78]) ).

cnf(c_0_625_0,axiom,
    c_List_Oappend(c_List_Olist_ONil(X2),X1,X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_625,def_lhs_atom71]) ).

cnf(c_0_626_0,axiom,
    c_List_Oappend(c_List_Olist_ONil(X2),X1,X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_626,def_lhs_atom71]) ).

cnf(c_0_627_0,axiom,
    c_List_Oappend(X1,c_List_Olist_ONil(X2),X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_627,def_lhs_atom69]) ).

cnf(c_0_628_0,axiom,
    c_List_Oappend(c_List_Olist_ONil(X2),X1,X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_628,def_lhs_atom70]) ).

cnf(c_0_629_0,axiom,
    c_List_Oappend(X1,c_List_Olist_ONil(X2),X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_629,def_lhs_atom69]) ).

cnf(c_0_630_0,axiom,
    hAPP(hAPP(c_Lambda_OdB_OApp,X2),X1) = c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X1),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),
    inference(unfold_definition,[status(thm)],[c_0_630,def_lhs_atom34]) ).

cnf(c_0_631_0,axiom,
    c_List_Olast(c_List_Oappend(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Olast(X1,X2),
    inference(unfold_definition,[status(thm)],[c_0_631,def_lhs_atom33]) ).

cnf(c_0_632_0,axiom,
    c_List_Obutlast(c_List_Oappend(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Obutlast(X1,X2),
    inference(unfold_definition,[status(thm)],[c_0_632,def_lhs_atom32]) ).

cnf(c_0_633_0,axiom,
    c_List_Olast(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_633,def_lhs_atom30]) ).

cnf(c_0_634_0,axiom,
    c_List_Obutlast(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Olist_ONil(X2),
    inference(unfold_definition,[status(thm)],[c_0_634,def_lhs_atom29]) ).

cnf(c_0_635_0,axiom,
    c_List_Orev(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),
    inference(unfold_definition,[status(thm)],[c_0_635,def_lhs_atom28]) ).

cnf(c_0_636_0,axiom,
    c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2) = c_List_Orev(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2),
    inference(unfold_definition,[status(thm)],[c_0_636,def_lhs_atom27]) ).

cnf(c_0_637_0,axiom,
    c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),X1,X2) = c_List_Olist_ONil(X2),
    inference(unfold_definition,[status(thm)],[c_0_637,def_lhs_atom26]) ).

cnf(c_0_638_0,axiom,
    c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X1,X2) = c_List_Olist_ONil(X2),
    inference(unfold_definition,[status(thm)],[c_0_638,def_lhs_atom24]) ).

cnf(c_0_639_0,axiom,
    c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X1,X2) = c_List_Olist_ONil(X2),
    inference(unfold_definition,[status(thm)],[c_0_639,def_lhs_atom24]) ).

cnf(c_0_640_0,axiom,
    c_Nat_Osize__class_Osize(c_List_Orev(X1,X2),tc_List_Olist(X2)) = c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),
    inference(unfold_definition,[status(thm)],[c_0_640,def_lhs_atom23]) ).

cnf(c_0_641_0,axiom,
    c_Nat_Osize__class_Osize(c_List_Orotate1(X1,X2),tc_List_Olist(X2)) = c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),
    inference(unfold_definition,[status(thm)],[c_0_641,def_lhs_atom17]) ).

cnf(c_0_642_0,axiom,
    c_List_Orev(c_List_Orev(X1,X2),X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_642,def_lhs_atom10]) ).

cnf(c_0_643_0,axiom,
    c_List_Orev(c_List_Orev(X1,X2),X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_643,def_lhs_atom11]) ).

cnf(c_0_644_0,axiom,
    c_List_Orev(c_List_Orev(X1,X2),X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_644,def_lhs_atom10]) ).

cnf(c_0_645_0,axiom,
    c_List_Otake(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
    inference(unfold_definition,[status(thm)],[c_0_645,def_lhs_atom9]) ).

cnf(c_0_646_0,axiom,
    c_Transitive__Closure_Ortranclp(c_Transitive__Closure_Ortranclp(X1,X2),X2) = c_Transitive__Closure_Ortranclp(X1,X2),
    inference(unfold_definition,[status(thm)],[c_0_646,def_lhs_atom6]) ).

cnf(c_0_647_0,axiom,
    c_List_Olistsp(X1,c_List_Olist_ONil(X2),X2),
    inference(unfold_definition,[status(thm)],[c_0_647,def_lhs_atom3]) ).

cnf(c_0_648_0,axiom,
    hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(X1))),
    inference(unfold_definition,[status(thm)],[c_0_648,def_lhs_atom102]) ).

cnf(c_0_649_0,axiom,
    c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
    inference(unfold_definition,[status(thm)],[c_0_649,def_lhs_atom86]) ).

cnf(c_0_650_0,axiom,
    ~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_650,def_lhs_atom77]) ).

cnf(c_0_651_0,axiom,
    ~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_651,def_lhs_atom76]) ).

cnf(c_0_652_0,axiom,
    ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_652,def_lhs_atom65]) ).

cnf(c_0_653_0,axiom,
    ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_653,def_lhs_atom64]) ).

cnf(c_0_654_0,axiom,
    ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(c_List_Olist_ONil(X1),tc_List_Olist(X1)),tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_654,def_lhs_atom54]) ).

cnf(c_0_655_0,axiom,
    c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) = c_Lambda_OdB_OAbs(X1),
    inference(unfold_definition,[status(thm)],[c_0_655,def_lhs_atom47]) ).

cnf(c_0_656_0,axiom,
    c_Lambda_OdB_OAbs(X1) = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),
    inference(unfold_definition,[status(thm)],[c_0_656,def_lhs_atom46]) ).

cnf(c_0_657_0,axiom,
    c_Lambda_OdB_OVar(X1) = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),
    inference(unfold_definition,[status(thm)],[c_0_657,def_lhs_atom45]) ).

cnf(c_0_658_0,axiom,
    c_List_Olist_ONil(X1) = c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_ONil(X1),X1),
    inference(unfold_definition,[status(thm)],[c_0_658,def_lhs_atom40]) ).

cnf(c_0_659_0,axiom,
    c_Nat_Osize__class_Osize(c_List_Olist_ONil(X1),tc_List_Olist(X1)) = c_HOL_Ozero__class_Ozero(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_659,def_lhs_atom25]) ).

cnf(c_0_660_0,axiom,
    c_List_Olist_ONil(X1) = c_List_Orev(c_List_Olist_ONil(X1),X1),
    inference(unfold_definition,[status(thm)],[c_0_660,def_lhs_atom22]) ).

cnf(c_0_661_0,axiom,
    c_List_Obutlast(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
    inference(unfold_definition,[status(thm)],[c_0_661,def_lhs_atom21]) ).

cnf(c_0_662_0,axiom,
    c_Predicate_Oconversep(c_fequal(X1),X1,X1) = c_fequal(X1),
    inference(unfold_definition,[status(thm)],[c_0_662,def_lhs_atom16]) ).

cnf(c_0_663_0,axiom,
    c_List_Orev(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
    inference(unfold_definition,[status(thm)],[c_0_663,def_lhs_atom7]) ).

cnf(c_0_664_0,axiom,
    c_List_Orotate1(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
    inference(unfold_definition,[status(thm)],[c_0_664,def_lhs_atom4]) ).

cnf(c_0_665_0,axiom,
    class_Orderings_Oorder(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_665,def_lhs_atom133]) ).

cnf(c_0_666_0,axiom,
    class_Orderings_Opreorder(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_666,def_lhs_atom132]) ).

cnf(c_0_667_0,axiom,
    class_Orderings_Oorder(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_667,def_lhs_atom131]) ).

cnf(c_0_668_0,axiom,
    class_Orderings_Olinorder(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_668,def_lhs_atom130]) ).

cnf(c_0_669_0,axiom,
    class_Orderings_Opreorder(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_669,def_lhs_atom129]) ).

cnf(c_0_670_0,axiom,
    class_Nat_Osemiring__char__0(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_670,def_lhs_atom128]) ).

cnf(c_0_671_0,axiom,
    class_OrderedGroup_Omonoid__add(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_671,def_lhs_atom127]) ).

cnf(c_0_672_0,axiom,
    class_Ring__and__Field_Osemiring__1(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_672,def_lhs_atom126]) ).

cnf(c_0_673_0,axiom,
    class_OrderedGroup_Osemigroup__add(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_673,def_lhs_atom125]) ).

cnf(c_0_674_0,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_674,def_lhs_atom124]) ).

cnf(c_0_675_0,axiom,
    class_OrderedGroup_Oab__semigroup__add(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_675,def_lhs_atom123]) ).

cnf(c_0_676_0,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_676,def_lhs_atom122]) ).

cnf(c_0_677_0,axiom,
    class_Ring__and__Field_Oordered__semidom(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_677,def_lhs_atom121]) ).

cnf(c_0_678_0,axiom,
    class_OrderedGroup_Ocancel__semigroup__add(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_678,def_lhs_atom120]) ).

cnf(c_0_679_0,axiom,
    class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_679,def_lhs_atom119]) ).

cnf(c_0_680_0,axiom,
    class_OrderedGroup_Opordered__comm__monoid__add(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_680,def_lhs_atom118]) ).

cnf(c_0_681_0,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_681,def_lhs_atom117]) ).

cnf(c_0_682_0,axiom,
    class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_682,def_lhs_atom116]) ).

cnf(c_0_683_0,axiom,
    c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)),
    inference(unfold_definition,[status(thm)],[c_0_683,def_lhs_atom105]) ).

cnf(c_0_684_0,axiom,
    c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____),
    inference(unfold_definition,[status(thm)],[c_0_684,def_lhs_atom108]) ).

cnf(c_0_685_0,axiom,
    c_Type_Otyping(v_ea______,v_ua______,v_T____),
    inference(unfold_definition,[status(thm)],[c_0_685,def_lhs_atom107]) ).

cnf(c_0_686_0,axiom,
    c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_as____,v_Ts____),
    inference(unfold_definition,[status(thm)],[c_0_686,def_lhs_atom106]) ).

cnf(c_0_687_0,axiom,
    c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)),
    inference(unfold_definition,[status(thm)],[c_0_687,def_lhs_atom105]) ).

cnf(c_0_688_0,axiom,
    c_Type_Otyping(c_Type_Oshift(v_ea______,v_ia______,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_Ha______),
    inference(unfold_definition,[status(thm)],[c_0_688,def_lhs_atom104]) ).

cnf(c_0_689_0,axiom,
    v_n____ = v_i____,
    inference(unfold_definition,[status(thm)],[c_0_689,def_lhs_atom100]) ).

cnf(c_0_690_0,axiom,
    c_Type_Otyping(v_e____,v_u____,v_T____),
    inference(unfold_definition,[status(thm)],[c_0_690,def_lhs_atom92]) ).

cnf(c_0_691_0,axiom,
    ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_691,def_lhs_atom81]) ).

cnf(c_0_692_0,axiom,
    hBOOL(hAPP(c_InductTermi_OIT,v_ua______)),
    inference(unfold_definition,[status(thm)],[c_0_692,def_lhs_atom67]) ).

cnf(c_0_693_0,axiom,
    v_rs____ = c_List_Olist_OCons(v_a____,v_as____,tc_Lambda_OdB),
    inference(unfold_definition,[status(thm)],[c_0_693,def_lhs_atom44]) ).

cnf(c_0_694_0,axiom,
    hBOOL(hAPP(c_InductTermi_OIT,v_u____)),
    inference(unfold_definition,[status(thm)],[c_0_694,def_lhs_atom35]) ).

% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
    ! [X31,X13,X10,X8,X12,X22,X9] :
      ( X12 = c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__types__1__1(X9,X12,X8,X31),X9,tc_Type_Otype,tc_Type_Otype)
      | ~ c_Type_Otyping(X8,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X10),X13,tc_Lambda_OdB,tc_Lambda_OdB),X12)
      | ~ c_Type_Otypings(X8,X13,X22)
      | ~ c_Type_Otyping(X8,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X10),X13,tc_Lambda_OdB,tc_Lambda_OdB),X31,tc_Lambda_OdB,tc_Lambda_OdB),X9) ),
    file('<stdin>',cls_var__app__types_0) ).

fof(c_0_1_002,axiom,
    ! [X62,X45,X46] :
      ( X62 = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X46),c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X46,X45,X62),tc_Lambda_OdB,tc_Lambda_OdB)
      | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X46),X45,tc_Lambda_OdB,tc_Lambda_OdB)),X62)) ),
    file('<stdin>',cls_head__Var__reduction_1) ).

fof(c_0_2_003,axiom,
    ! [X31,X13,X10,X8,X12,X22,X9] :
      ( c_Type_Otypings(X8,X31,c_Type_Osko__Type__Xvar__app__types__1__1(X9,X12,X8,X31))
      | ~ c_Type_Otyping(X8,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X10),X13,tc_Lambda_OdB,tc_Lambda_OdB),X12)
      | ~ c_Type_Otypings(X8,X13,X22)
      | ~ c_Type_Otyping(X8,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X10),X13,tc_Lambda_OdB,tc_Lambda_OdB),X31,tc_Lambda_OdB,tc_Lambda_OdB),X9) ),
    file('<stdin>',cls_var__app__types_1) ).

fof(c_0_3_004,axiom,
    ! [X62,X45,X46] :
      ( c_ListOrder_Ostep1(c_Lambda_Obeta,X45,c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X46,X45,X62),tc_Lambda_OdB)
      | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X46),X45,tc_Lambda_OdB,tc_Lambda_OdB)),X62)) ),
    file('<stdin>',cls_head__Var__reduction_0) ).

fof(c_0_4_005,axiom,
    ! [X44,X45,X54] :
      ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X54,X45,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X54,X44,tc_Lambda_OdB,tc_Lambda_OdB)))
      | ~ c_ListOrder_Ostep1(c_Lambda_Obeta,X45,X44,tc_Lambda_OdB) ),
    file('<stdin>',cls_apps__preserves__betas_0) ).

fof(c_0_5_006,axiom,
    ! [X44,X27,X54] :
      ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,X54,X44,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X27,X44,tc_Lambda_OdB,tc_Lambda_OdB)))
      | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X54),X27)) ),
    file('<stdin>',cls_apps__preserves__beta2_0) ).

fof(c_0_6_007,axiom,
    ! [X44,X27,X54] :
      ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X54,X44,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X27,X44,tc_Lambda_OdB,tc_Lambda_OdB)))
      | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X54),X27)) ),
    file('<stdin>',cls_apps__preserves__beta_0) ).

fof(c_0_7_008,axiom,
    ! [X44,X27,X54] :
      ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X54)),X27),X44,tc_Lambda_OdB,tc_Lambda_OdB)))
      | ~ hBOOL(hAPP(c_InductTermi_OIT,X27))
      | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(X54,X27,c_HOL_Ozero__class_Ozero(tc_nat)),X44,tc_Lambda_OdB,tc_Lambda_OdB))) ),
    file('<stdin>',cls_Beta_0) ).

fof(c_0_8_009,axiom,
    ! [X21] :
      ( v_thesis____
      | ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,X21)
      | ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),hAPP(hAPP(c_Type_Otype_OFun,X21),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) ),
    file('<stdin>',cls_that_0) ).

fof(c_0_9_010,axiom,
    ! [X36,X16,X17,X52,X53,X18] :
      ( ~ hBOOL(hAPP(X18,c_Lambda_OdB_OdB__case(X17,X16,X36,hAPP(hAPP(c_Lambda_OdB_OApp,X53),X52),t_a)))
      | hBOOL(hAPP(X18,hAPP(hAPP(X16,X53),X52))) ),
    file('<stdin>',cls_dB_Osplit_1) ).

fof(c_0_10_011,axiom,
    ! [X51,X19,X36,X16,X17,X18] :
      ( ~ hBOOL(hAPP(X18,c_Lambda_OdB_OdB__case(X17,X16,X36,hAPP(hAPP(c_Lambda_OdB_OApp,X19),X51),t_a)))
      | hBOOL(hAPP(X18,hAPP(hAPP(X16,X19),X51))) ),
    file('<stdin>',cls_dB_Osplit__asm_1) ).

fof(c_0_11_012,axiom,
    ! [X13,X10,X8,X12,X9] :
      ( X9 = X12
      | ~ c_Type_Otyping(X8,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X10),X13,tc_Lambda_OdB,tc_Lambda_OdB),X12)
      | ~ c_Type_Otyping(X8,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X10),X13,tc_Lambda_OdB,tc_Lambda_OdB),X9) ),
    file('<stdin>',cls_var__app__type__eq_0) ).

fof(c_0_12_013,axiom,
    ! [X36,X16,X17,X55,X18] :
      ( ~ hBOOL(hAPP(X18,c_Lambda_OdB_OdB__case(X17,X16,X36,c_Lambda_OdB_OAbs(X55),t_a)))
      | hBOOL(hAPP(X18,hAPP(X36,X55))) ),
    file('<stdin>',cls_dB_Osplit_2) ).

fof(c_0_13_014,axiom,
    ! [X20,X36,X16,X17,X18] :
      ( ~ hBOOL(hAPP(X18,c_Lambda_OdB_OdB__case(X17,X16,X36,c_Lambda_OdB_OAbs(X20),t_a)))
      | hBOOL(hAPP(X18,hAPP(X36,X20))) ),
    file('<stdin>',cls_dB_Osplit__asm_2) ).

fof(c_0_14_015,axiom,
    ! [X37,X36,X16,X17,X18] :
      ( ~ hBOOL(hAPP(X18,c_Lambda_OdB_OdB__case(X17,X16,X36,c_Lambda_OdB_OVar(X37),t_a)))
      | hBOOL(hAPP(X18,hAPP(X17,X37))) ),
    file('<stdin>',cls_dB_Osplit__asm_0) ).

fof(c_0_15_016,axiom,
    ! [X35,X36,X16,X17,X18] :
      ( ~ hBOOL(hAPP(X18,c_Lambda_OdB_OdB__case(X17,X16,X36,c_Lambda_OdB_OVar(X35),t_a)))
      | hBOOL(hAPP(X18,hAPP(X17,X35))) ),
    file('<stdin>',cls_dB_Osplit_0) ).

fof(c_0_16_017,axiom,
    ! [X44,X27,X54] :
      ( ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(X54,X27,c_HOL_Ozero__class_Ozero(tc_nat)),X44,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)
      | ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),X27,tc_Lambda_OdB)
      | c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X54)),X27),X44,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB) ),
    file('<stdin>',cls_double__induction__lemma_0) ).

fof(c_0_17_018,axiom,
    ! [X13,X10,X8,X9] :
      ( c_Type_Otyping(X8,c_Lambda_OdB_OVar(X10),c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__typesE__1__1(X9,X8,X10,X13),X9,tc_Type_Otype,tc_Type_Otype))
      | ~ c_Type_Otyping(X8,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X10),X13,tc_Lambda_OdB,tc_Lambda_OdB),X9) ),
    file('<stdin>',cls_var__app__typesE_0) ).

fof(c_0_18_019,axiom,
    ! [X13,X7,X8,X9] :
      ( c_Type_Otyping(X8,X7,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeE__1__1(X9,X8,X7,X13),X9,tc_Type_Otype,tc_Type_Otype))
      | ~ c_Type_Otyping(X8,c_List_Ofoldl(c_Lambda_OdB_OApp,X7,X13,tc_Lambda_OdB,tc_Lambda_OdB),X9) ),
    file('<stdin>',cls_list__app__typeE_0) ).

fof(c_0_19_020,axiom,
    ! [X13,X7,X8,X9] :
      ( c_Type_Otyping(X8,X7,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeD__1__1(X9,X8,X7,X13),X9,tc_Type_Otype,tc_Type_Otype))
      | ~ c_Type_Otyping(X8,c_List_Ofoldl(c_Lambda_OdB_OApp,X7,X13,tc_Lambda_OdB,tc_Lambda_OdB),X9) ),
    file('<stdin>',cls_list__app__typeD_0) ).

fof(c_0_20_021,axiom,
    ! [X13,X7,X8,X22,X9] :
      ( c_Type_Otyping(X8,c_List_Ofoldl(c_Lambda_OdB_OApp,X7,X13,tc_Lambda_OdB,tc_Lambda_OdB),X9)
      | ~ c_Type_Otypings(X8,X13,X22)
      | ~ c_Type_Otyping(X8,X7,c_List_Ofoldr(c_Type_Otype_OFun,X22,X9,tc_Type_Otype,tc_Type_Otype)) ),
    file('<stdin>',cls_list__app__typeI_0) ).

fof(c_0_21_022,axiom,
    ! [X45,X46] :
      ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X46),X45,tc_Lambda_OdB,tc_Lambda_OdB)))
      | ~ c_List_Olistsp(c_InductTermi_OIT,X45,tc_Lambda_OdB) ),
    file('<stdin>',cls_IT_OVar_0) ).

fof(c_0_22_023,axiom,
    ! [X13,X10,X8,X9] :
      ( c_Type_Otypings(X8,X13,c_Type_Osko__Type__Xvar__app__typesE__1__1(X9,X8,X10,X13))
      | ~ c_Type_Otyping(X8,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X10),X13,tc_Lambda_OdB,tc_Lambda_OdB),X9) ),
    file('<stdin>',cls_var__app__typesE_1) ).

fof(c_0_23_024,axiom,
    ! [X13,X7,X8,X9] :
      ( c_Type_Otypings(X8,X13,c_Type_Osko__Type__Xlist__app__typeE__1__1(X9,X8,X7,X13))
      | ~ c_Type_Otyping(X8,c_List_Ofoldl(c_Lambda_OdB_OApp,X7,X13,tc_Lambda_OdB,tc_Lambda_OdB),X9) ),
    file('<stdin>',cls_list__app__typeE_1) ).

fof(c_0_24_025,axiom,
    ! [X13,X7,X8,X9] :
      ( c_Type_Otypings(X8,X13,c_Type_Osko__Type__Xlist__app__typeD__1__1(X9,X8,X7,X13))
      | ~ c_Type_Otyping(X8,c_List_Ofoldl(c_Lambda_OdB_OApp,X7,X13,tc_Lambda_OdB,tc_Lambda_OdB),X9) ),
    file('<stdin>',cls_list__app__typeD_1) ).

fof(c_0_25_026,axiom,
    ! [X44,X27,X45,X54] :
      ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X54),X45,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X27),X44,tc_Lambda_OdB,tc_Lambda_OdB)
      | X45 = X44 ),
    file('<stdin>',cls_Abs__apps__eq__Abs__apps__conv_1) ).

fof(c_0_26_027,axiom,
    ! [X44,X27,X45,X54] :
      ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X54),X45,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X27),X44,tc_Lambda_OdB,tc_Lambda_OdB)
      | X54 = X27 ),
    file('<stdin>',cls_Abs__apps__eq__Abs__apps__conv_0) ).

fof(c_0_27_028,axiom,
    ! [X44,X45,X46,X47] :
      ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X47),X45,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X46),X44,tc_Lambda_OdB,tc_Lambda_OdB)
      | X45 = X44 ),
    file('<stdin>',cls_Var__apps__eq__Var__apps__conv_1) ).

fof(c_0_28_029,axiom,
    ! [X44,X45,X46,X47] :
      ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X47),X45,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X46),X44,tc_Lambda_OdB,tc_Lambda_OdB)
      | X47 = X46 ),
    file('<stdin>',cls_Var__apps__eq__Var__apps__conv_0) ).

fof(c_0_29_030,axiom,
    ! [X59,X41,X28,X3] :
      ( ~ class_OrderedGroup_Osemigroup__add(X3)
      | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X28),X41),X59,X3,X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X28),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X3),X41,X59,X3,X3)) ),
    file('<stdin>',cls_foldl__assoc_0) ).

fof(c_0_30_031,axiom,
    ! [X13,X27,X54] :
      ( c_List_Ofoldl(c_Lambda_OdB_OApp,X54,X13,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,X27,X13,tc_Lambda_OdB,tc_Lambda_OdB)
      | X54 = X27 ),
    file('<stdin>',cls_apps__eq__tail__conv_0) ).

fof(c_0_31_032,axiom,
    ! [X59,X28,X3] :
      ( ~ class_OrderedGroup_Omonoid__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X28),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X3),c_HOL_Ozero__class_Ozero(X3),X59,X3,X3)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X3),X28,X59,X3,X3) ),
    file('<stdin>',cls_foldl__absorb0_0) ).

fof(c_0_32_033,axiom,
    ! [X43,X40,X3] :
      ( ~ class_OrderedGroup_Omonoid__add(X3)
      | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X3),X40,X43,X3,X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X3),X43,c_HOL_Ozero__class_Ozero(X3),X3,X3)) ),
    file('<stdin>',cls_foldl__foldr1__lemma_0) ).

fof(c_0_33_034,axiom,
    ! [X59,X42,X43,X28,X3] :
      ( c_List_Oappend(X42,X59,X3) != c_List_Olist_OCons(X28,X43,X3)
      | c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X28,X43,X42,X59,X3),X59,X3) = X43
      | X59 = c_List_Olist_OCons(X28,X43,X3) ),
    file('<stdin>',cls_append__eq__Cons__conv_3) ).

fof(c_0_34_035,axiom,
    ! [X59,X42,X43,X28,X3] :
      ( c_List_Olist_OCons(X28,X43,X3) != c_List_Oappend(X42,X59,X3)
      | c_List_Olist_OCons(X28,c_List_Osko__List__XCons__eq__append__conv__1__1(X28,X43,X42,X59,X3),X3) = X42
      | c_List_Olist_OCons(X28,X43,X3) = X59 ),
    file('<stdin>',cls_Cons__eq__append__conv_2) ).

fof(c_0_35_036,axiom,
    ! [X59,X42,X43,X28,X3] :
      ( c_List_Oappend(X42,X59,X3) != c_List_Olist_OCons(X28,X43,X3)
      | X42 = c_List_Olist_OCons(X28,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X28,X43,X42,X59,X3),X3)
      | X59 = c_List_Olist_OCons(X28,X43,X3) ),
    file('<stdin>',cls_append__eq__Cons__conv_2) ).

fof(c_0_36_037,axiom,
    ! [X59,X42,X43,X28,X3] :
      ( c_List_Olist_OCons(X28,X43,X3) != c_List_Oappend(X42,X59,X3)
      | X43 = c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(X28,X43,X42,X59,X3),X59,X3)
      | c_List_Olist_OCons(X28,X43,X3) = X59 ),
    file('<stdin>',cls_Cons__eq__append__conv_3) ).

fof(c_0_37_038,axiom,
    ! [X59,X42,X43,X28,X3] :
      ( c_List_Olist_OCons(X28,X43,X3) != c_List_Oappend(X42,X59,X3)
      | X43 = c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(X28,X43,X42,X59,X3),X59,X3)
      | X42 = c_List_Olist_ONil(X3) ),
    file('<stdin>',cls_Cons__eq__append__conv_1) ).

fof(c_0_38_039,axiom,
    ! [X59,X42,X43,X28,X3] :
      ( c_List_Oappend(X42,X59,X3) != c_List_Olist_OCons(X28,X43,X3)
      | X42 = c_List_Olist_OCons(X28,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X28,X43,X42,X59,X3),X3)
      | X42 = c_List_Olist_ONil(X3) ),
    file('<stdin>',cls_append__eq__Cons__conv_0) ).

fof(c_0_39_040,axiom,
    ! [X59,X42,X43,X28,X3] :
      ( c_List_Oappend(X42,X59,X3) != c_List_Olist_OCons(X28,X43,X3)
      | c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X28,X43,X42,X59,X3),X59,X3) = X43
      | X42 = c_List_Olist_ONil(X3) ),
    file('<stdin>',cls_append__eq__Cons__conv_1) ).

fof(c_0_40_041,axiom,
    ! [X59,X42,X43,X28,X3] :
      ( c_List_Olist_OCons(X28,X43,X3) != c_List_Oappend(X42,X59,X3)
      | c_List_Olist_OCons(X28,c_List_Osko__List__XCons__eq__append__conv__1__1(X28,X43,X42,X59,X3),X3) = X42
      | X42 = c_List_Olist_ONil(X3) ),
    file('<stdin>',cls_Cons__eq__append__conv_0) ).

fof(c_0_41_042,axiom,
    ! [X43,X3] :
      ( ~ class_OrderedGroup_Omonoid__add(X3)
      | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X3),c_HOL_Ozero__class_Ozero(X3),X43,X3,X3) = c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X3),X43,c_HOL_Ozero__class_Ozero(X3),X3,X3) ),
    file('<stdin>',cls_foldl__foldr1_0) ).

fof(c_0_42_043,axiom,
    ! [X43,X40,X3] :
      ( ~ class_OrderedGroup_Oab__semigroup__add(X3)
      | c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X3),X43,X40,X3,X3) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X3),X40,X43,X3,X3) ),
    file('<stdin>',cls_foldr__conv__foldl_0) ).

fof(c_0_43_044,axiom,
    ! [X6,X7,X8,X9] :
      ( c_Type_Otyping(X8,X7,hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(X9,X8,X7,X6)),X9))
      | ~ c_Type_Otyping(X8,hAPP(hAPP(c_Lambda_OdB_OApp,X7),X6),X9) ),
    file('<stdin>',cls_typing__elims_I2_J_0) ).

fof(c_0_44_045,axiom,
    ! [X19,X20,X16,X17,X18] :
      ( ~ hBOOL(hAPP(X18,c_Type_Otype_Otype__case(X17,X16,hAPP(hAPP(c_Type_Otype_OFun,X20),X19),t_a)))
      | hBOOL(hAPP(X18,hAPP(hAPP(X16,X20),X19))) ),
    file('<stdin>',cls_type_Osplit__asm_1) ).

fof(c_0_45_046,axiom,
    ! [X14,X15,X16,X17,X18] :
      ( ~ hBOOL(hAPP(X18,c_Type_Otype_Otype__case(X17,X16,hAPP(hAPP(c_Type_Otype_OFun,X15),X14),t_a)))
      | hBOOL(hAPP(X18,hAPP(hAPP(X16,X15),X14))) ),
    file('<stdin>',cls_type_Osplit_1) ).

fof(c_0_46_047,axiom,
    ! [X7,X27,X54] :
      ( hAPP(hAPP(c_Lambda_OdB_OApp,X54),X27) != c_List_Ofoldl(c_Lambda_OdB_OApp,X7,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)
      | hAPP(hAPP(c_Lambda_OdB_OApp,X54),X27) = X7 ),
    file('<stdin>',cls_App__eq__foldl__conv_0) ).

fof(c_0_47_048,axiom,
    ! [X44,X27,X54] :
      ( c_Lambda_OdB_OAbs(X54) != c_List_Ofoldl(c_Lambda_OdB_OApp,X27,X44,tc_Lambda_OdB,tc_Lambda_OdB)
      | c_Lambda_OdB_OAbs(X54) = X27 ),
    file('<stdin>',cls_Abs__eq__apps__conv_0) ).

fof(c_0_48_049,axiom,
    ! [X44,X27,X47] :
      ( c_Lambda_OdB_OVar(X47) != c_List_Ofoldl(c_Lambda_OdB_OApp,X27,X44,tc_Lambda_OdB,tc_Lambda_OdB)
      | c_Lambda_OdB_OVar(X47) = X27 ),
    file('<stdin>',cls_Var__eq__apps__conv_0) ).

fof(c_0_49_050,axiom,
    ! [X44,X27,X54] :
      ( c_List_Ofoldl(c_Lambda_OdB_OApp,X27,X44,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X54)
      | X27 = c_Lambda_OdB_OAbs(X54) ),
    file('<stdin>',cls_apps__eq__Abs__conv_0) ).

fof(c_0_50_051,axiom,
    ! [X44,X27,X47] :
      ( c_Lambda_OdB_OVar(X47) != c_List_Ofoldl(c_Lambda_OdB_OApp,X27,X44,tc_Lambda_OdB,tc_Lambda_OdB)
      | X44 = c_List_Olist_ONil(tc_Lambda_OdB) ),
    file('<stdin>',cls_Var__eq__apps__conv_1) ).

fof(c_0_51_052,axiom,
    ! [X44,X27,X54] :
      ( c_Lambda_OdB_OAbs(X54) != c_List_Ofoldl(c_Lambda_OdB_OApp,X27,X44,tc_Lambda_OdB,tc_Lambda_OdB)
      | X44 = c_List_Olist_ONil(tc_Lambda_OdB) ),
    file('<stdin>',cls_Abs__eq__apps__conv_1) ).

fof(c_0_52_053,axiom,
    ! [X44,X27,X54] :
      ( c_List_Ofoldl(c_Lambda_OdB_OApp,X27,X44,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X54)
      | X44 = c_List_Olist_ONil(tc_Lambda_OdB) ),
    file('<stdin>',cls_apps__eq__Abs__conv_1) ).

fof(c_0_53_054,axiom,
    ! [X41,X28,X54,X3] :
      ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X54,X3),X41),X28))
      | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(X54,X3,X3),X3),X28),X41)) ),
    file('<stdin>',cls_rtranclp__converseD_0) ).

fof(c_0_54_055,axiom,
    ! [X42,X41,X43,X28,X54,X3] :
      ( hBOOL(hAPP(hAPP(X54,X41),X28))
      | c_ListOrder_Ostep1(X54,X42,X43,X3)
      | ~ c_ListOrder_Ostep1(X54,c_List_Oappend(X42,c_List_Olist_OCons(X41,c_List_Olist_ONil(X3),X3),X3),c_List_Oappend(X43,c_List_Olist_OCons(X28,c_List_Olist_ONil(X3),X3),X3),X3) ),
    file('<stdin>',cls_Snoc__step1__SnocD_1) ).

fof(c_0_55_056,axiom,
    ! [X42,X41,X43,X28,X54,X3] :
      ( X42 = X43
      | c_ListOrder_Ostep1(X54,X42,X43,X3)
      | ~ c_ListOrder_Ostep1(X54,c_List_Oappend(X42,c_List_Olist_OCons(X41,c_List_Olist_ONil(X3),X3),X3),c_List_Oappend(X43,c_List_Olist_OCons(X28,c_List_Olist_ONil(X3),X3),X3),X3) ),
    file('<stdin>',cls_Snoc__step1__SnocD_0) ).

fof(c_0_56_057,axiom,
    ! [X35,X16,X17,X18] :
      ( ~ hBOOL(hAPP(X18,c_Type_Otype_Otype__case(X17,X16,c_Type_Otype_OAtom(X35),t_a)))
      | hBOOL(hAPP(X18,hAPP(X17,X35))) ),
    file('<stdin>',cls_type_Osplit_0) ).

fof(c_0_57_058,axiom,
    ! [X51,X16,X17,X18] :
      ( ~ hBOOL(hAPP(X18,c_Type_Otype_Otype__case(X17,X16,c_Type_Otype_OAtom(X51),t_a)))
      | hBOOL(hAPP(X18,hAPP(X17,X51))) ),
    file('<stdin>',cls_type_Osplit__asm_0) ).

fof(c_0_58_059,axiom,
    ! [X42,X41,X43,X28,X54,X3] :
      ( hBOOL(hAPP(hAPP(X54,X41),X28))
      | X41 = X28
      | ~ c_ListOrder_Ostep1(X54,c_List_Oappend(X42,c_List_Olist_OCons(X41,c_List_Olist_ONil(X3),X3),X3),c_List_Oappend(X43,c_List_Olist_OCons(X28,c_List_Olist_ONil(X3),X3),X3),X3) ),
    file('<stdin>',cls_Snoc__step1__SnocD_3) ).

fof(c_0_59_060,axiom,
    ! [X42,X41,X43,X28,X54,X3] :
      ( X42 = X43
      | X41 = X28
      | ~ c_ListOrder_Ostep1(X54,c_List_Oappend(X42,c_List_Olist_OCons(X41,c_List_Olist_ONil(X3),X3),X3),c_List_Oappend(X43,c_List_Olist_OCons(X28,c_List_Olist_ONil(X3),X3),X3),X3) ),
    file('<stdin>',cls_Snoc__step1__SnocD_2) ).

fof(c_0_60_061,axiom,
    ! [X41,X28,X54,X3] :
      ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(X54,X3,X3),X3),X28),X41))
      | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X54,X3),X41),X28)) ),
    file('<stdin>',cls_rtranclp__converseI_0) ).

fof(c_0_61_062,axiom,
    ! [X6,X7,X10,X8,X24,X25,X26] :
      ( v_T____ != hAPP(hAPP(c_Type_Otype_OFun,X26),X25)
      | hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X7,X6,X10)))
      | ~ c_Type_Otyping(X8,X6,X25)
      | ~ hBOOL(hAPP(c_InductTermi_OIT,X6))
      | ~ c_Type_Otyping(c_Type_Oshift(X8,X10,X25,tc_Type_Otype),X7,X24)
      | ~ hBOOL(hAPP(c_InductTermi_OIT,X7)) ),
    file('<stdin>',cls_MI2_0) ).

fof(c_0_62_063,axiom,
    ! [X6,X7,X10,X8,X24,X25,X26] :
      ( v_T____ != hAPP(hAPP(c_Type_Otype_OFun,X26),X25)
      | hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X7,X6,X10)))
      | ~ c_Type_Otyping(X8,X6,X26)
      | ~ hBOOL(hAPP(c_InductTermi_OIT,X6))
      | ~ c_Type_Otyping(c_Type_Oshift(X8,X10,X26,tc_Type_Otype),X7,X24)
      | ~ hBOOL(hAPP(c_InductTermi_OIT,X7)) ),
    file('<stdin>',cls_MI1_0) ).

fof(c_0_63_064,axiom,
    ! [X6,X7,X10,X11,X12,X9] :
      ( ~ c_Type_Otyping(X11,X6,X12)
      | ~ c_Type_Otyping(c_Type_Oshift(X11,X10,X12,tc_Type_Otype),X7,X9)
      | c_Type_Otyping(X11,c_Lambda_Osubst(X7,X6,X10),X9) ),
    file('<stdin>',cls_subst__lemma_0) ).

fof(c_0_64_065,axiom,
    ! [X34,X7,X63,X27] :
      ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,X27),X7)),hAPP(hAPP(c_Lambda_OdB_OApp,X63),X34)))
      | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X7),X34))
      | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X27),X63)) ),
    file('<stdin>',cls_rtrancl__beta__App_0) ).

fof(c_0_65_066,axiom,
    ! [X7,X27,X54,X10] :
      ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(X54,X7,X10)),c_Lambda_Osubst(X27,X7,X10)))
      | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X54),X27)) ),
    file('<stdin>',cls_subst__preserves__beta_H_0) ).

fof(c_0_66_067,axiom,
    ! [X7,X27,X54,X10] :
      ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(X7,X54,X10)),c_Lambda_Osubst(X7,X27,X10)))
      | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X54),X27)) ),
    file('<stdin>',cls_subst__preserves__beta2_H_0) ).

fof(c_0_67_068,axiom,
    ! [X42,X41,X43,X28,X54,X3] :
      ( c_ListOrder_Ostep1(X54,X42,X43,X3)
      | hBOOL(hAPP(hAPP(X54,X41),X28))
      | ~ c_ListOrder_Ostep1(X54,c_List_Olist_OCons(X41,X42,X3),c_List_Olist_OCons(X28,X43,X3),X3) ),
    file('<stdin>',cls_Cons__step1__Cons_1) ).

fof(c_0_68_069,axiom,
    ! [X7,X23,X12,X9] :
      ( c_Type_Otyping(X23,c_Lambda_OdB_OAbs(X7),hAPP(hAPP(c_Type_Otype_OFun,X9),X12))
      | ~ c_Type_Otyping(c_Type_Oshift(X23,c_HOL_Ozero__class_Ozero(tc_nat),X9,tc_Type_Otype),X7,X12) ),
    file('<stdin>',cls_Abs_0) ).

fof(c_0_69_070,axiom,
    ! [X42,X41,X43,X28,X54,X3] :
      ( c_ListOrder_Ostep1(X54,X42,X43,X3)
      | X43 = X42
      | ~ c_ListOrder_Ostep1(X54,c_List_Olist_OCons(X41,X42,X3),c_List_Olist_OCons(X28,X43,X3),X3) ),
    file('<stdin>',cls_Cons__step1__Cons_3) ).

fof(c_0_70_071,axiom,
    ! [X7,X8,X9] :
      ( c_Type_Otyping(c_Type_Oshift(X8,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Osko__Type__Xtyping__elims__3__1(X9,X8,X7),tc_Type_Otype),X7,c_Type_Osko__Type__Xtyping__elims__3__2(X9,X8,X7))
      | ~ c_Type_Otyping(X8,c_Lambda_OdB_OAbs(X7),X9) ),
    file('<stdin>',cls_typing__elims_I3_J_1) ).

fof(c_0_71_072,axiom,
    ! [X7,X27,X54,X10] :
      ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(X7,X54,X10)),c_Lambda_Osubst(X7,X27,X10)))
      | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X54),X27)) ),
    file('<stdin>',cls_subst__preserves__beta2_0) ).

fof(c_0_72_073,axiom,
    ! [X54,X68,X69,X67,X3] :
      ( hBOOL(hAPP(hAPP(X54,X68),X69))
      | ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X54,X3,X67),X69),X68)) ),
    file('<stdin>',cls_conversep_Ocases_0) ).

fof(c_0_73_074,axiom,
    ! [X54,X39,X40,X67,X3] :
      ( hBOOL(hAPP(hAPP(X54,X39),X40))
      | ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X54,X3,X67),X40),X39)) ),
    file('<stdin>',cls_conversepD_0) ).

fof(c_0_74_075,axiom,
    ! [X28,X70,X31,X54,X3] :
      ( c_ListOrder_Ostep1(X54,c_List_Oappend(X28,X70,X3),c_List_Oappend(X28,X31,X3),X3)
      | ~ c_ListOrder_Ostep1(X54,X70,X31,X3) ),
    file('<stdin>',cls_append__step1I_1) ).

fof(c_0_75_076,axiom,
    ! [X42,X43,X28,X54,X3] :
      ( ~ c_ListOrder_Ostep1(X54,X42,X43,X3)
      | c_ListOrder_Ostep1(X54,c_List_Oappend(X42,X28,X3),c_List_Oappend(X43,X28,X3),X3) ),
    file('<stdin>',cls_append__step1I_0) ).

fof(c_0_76_077,axiom,
    ! [X42,X43,X28,X54,X3] :
      ( c_ListOrder_Ostep1(X54,c_List_Olist_OCons(X28,X42,X3),c_List_Olist_OCons(X28,X43,X3),X3)
      | ~ c_ListOrder_Ostep1(X54,X42,X43,X3) ),
    file('<stdin>',cls_Cons__step1__Cons_5) ).

fof(c_0_77_078,axiom,
    ! [X7,X63,X27] :
      ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,X27),X7)),hAPP(hAPP(c_Lambda_OdB_OApp,X63),X7)))
      | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X27),X63)) ),
    file('<stdin>',cls_rtrancl__beta__AppL_0) ).

fof(c_0_78_079,axiom,
    ! [X34,X7,X27] :
      ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,X27),X7)),hAPP(hAPP(c_Lambda_OdB_OApp,X27),X34)))
      | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X7),X34)) ),
    file('<stdin>',cls_rtrancl__beta__AppR_0) ).

fof(c_0_79_080,axiom,
    ! [X7,X27,X54,X10] :
      ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Osubst(X54,X7,X10)),c_Lambda_Osubst(X27,X7,X10)))
      | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X54),X27)) ),
    file('<stdin>',cls_subst__preserves__beta_0) ).

fof(c_0_80_081,axiom,
    ! [X42,X41,X43,X28,X54,X3] :
      ( X28 = X41
      | hBOOL(hAPP(hAPP(X54,X41),X28))
      | ~ c_ListOrder_Ostep1(X54,c_List_Olist_OCons(X41,X42,X3),c_List_Olist_OCons(X28,X43,X3),X3) ),
    file('<stdin>',cls_Cons__step1__Cons_0) ).

fof(c_0_81_082,axiom,
    ! [X61,X41,X28,X54,X3] :
      ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X54,X3),X28),X61))
      | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X54,X3),X41),X61))
      | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X54,X3),X28),X41)) ),
    file('<stdin>',cls_rtranclp__trans_0) ).

fof(c_0_82_083,axiom,
    ! [X6,X7,X8,X9] :
      ( c_Type_Otyping(X8,X6,c_Type_Osko__Type__Xtyping__elims__2__1(X9,X8,X7,X6))
      | ~ c_Type_Otyping(X8,hAPP(hAPP(c_Lambda_OdB_OApp,X7),X6),X9) ),
    file('<stdin>',cls_typing__elims_I2_J_1) ).

fof(c_0_83_084,axiom,
    ! [X42,X41,X43,X28,X54,X3] :
      ( X28 = X41
      | X43 = X42
      | ~ c_ListOrder_Ostep1(X54,c_List_Olist_OCons(X41,X42,X3),c_List_Olist_OCons(X28,X43,X3),X3) ),
    file('<stdin>',cls_Cons__step1__Cons_2) ).

fof(c_0_84_085,axiom,
    ! [X66,X64,X39,X40,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X39)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X64),X66)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X64)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X39),X66)) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I20_J_0) ).

fof(c_0_85_086,axiom,
    ! [X7,X10,X8,X12,X9] :
      ( c_Type_Otyping(c_Type_Oshift(X8,X10,X12,tc_Type_Otype),c_Lambda_Olift(X7,X10),X9)
      | ~ c_Type_Otyping(X8,X7,X9) ),
    file('<stdin>',cls_lift__type_0) ).

fof(c_0_86_087,axiom,
    ! [X54,X39,X40,X67,X3] :
      ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X54,X3,X67),X39),X40))
      | ~ hBOOL(hAPP(hAPP(X54,X40),X39)) ),
    file('<stdin>',cls_conversep_Ointros_0) ).

fof(c_0_87_088,axiom,
    ! [X54,X39,X40,X67,X3] :
      ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X54,X3,X67),X40),X39))
      | ~ hBOOL(hAPP(hAPP(X54,X39),X40)) ),
    file('<stdin>',cls_conversep__iff_1) ).

fof(c_0_88_089,axiom,
    ! [X6,X7,X27] :
      ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X6),X27)),hAPP(hAPP(c_Lambda_OdB_OApp,X6),X7)))
      | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X27),X7)) ),
    file('<stdin>',cls_appR_0) ).

fof(c_0_89_090,axiom,
    ! [X6,X7,X27] :
      ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X27),X6)),hAPP(hAPP(c_Lambda_OdB_OApp,X7),X6)))
      | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X27),X7)) ),
    file('<stdin>',cls_appL_0) ).

fof(c_0_90_091,axiom,
    ! [X54,X64,X39,X40,X3] :
      ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X54,X3),X40),X64))
      | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X54,X3),X39),X64))
      | ~ hBOOL(hAPP(hAPP(X54,X40),X39)) ),
    file('<stdin>',cls_converse__rtranclp__into__rtranclp_0) ).

fof(c_0_91_092,axiom,
    ! [X54,X64,X39,X40,X3] :
      ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X54,X3),X40),X64))
      | ~ hBOOL(hAPP(hAPP(X54,X39),X64))
      | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X54,X3),X40),X39)) ),
    file('<stdin>',cls_rtranclp_Ortrancl__into__rtrancl_0) ).

fof(c_0_92_093,axiom,
    ! [X30,X10,X8,X9,X3] :
      ( hAPP(c_Type_Oshift(X8,X10,X9,X3),X30) = hAPP(X8,X30)
      | ~ c_HOL_Oord__class_Oless(X30,X10,tc_nat) ),
    file('<stdin>',cls_shift__gt_0) ).

fof(c_0_93_094,axiom,
    ! [X41,X20,X28,X54,X3] :
      ( ~ hBOOL(hAPP(hAPP(X54,X41),X20))
      | c_ListOrder_Ostep1(X54,c_List_Olist_OCons(X41,X28,X3),c_List_Olist_OCons(X20,X28,X3),X3) ),
    file('<stdin>',cls_Cons__step1__Cons_4) ).

fof(c_0_94_095,axiom,
    ! [X27,X54,X10] :
      ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Olift(X54,X10)),c_Lambda_Olift(X27,X10)))
      | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X54),X27)) ),
    file('<stdin>',cls_lift__preserves__beta_H_0) ).

fof(c_0_95_096,axiom,
    ! [X42,X41,X43,X28,X3] :
      ( c_List_Oappend(X43,c_List_Olist_OCons(X28,c_List_Olist_ONil(X3),X3),X3) != c_List_Oappend(X42,c_List_Olist_OCons(X41,c_List_Olist_ONil(X3),X3),X3)
      | X43 = X42 ),
    file('<stdin>',cls_append1__eq__conv_0) ).

fof(c_0_96_097,axiom,
    ! [X42,X41,X43,X28,X3] :
      ( c_List_Oappend(X43,c_List_Olist_OCons(X28,c_List_Olist_ONil(X3),X3),X3) != c_List_Oappend(X42,c_List_Olist_OCons(X41,c_List_Olist_ONil(X3),X3),X3)
      | X28 = X41 ),
    file('<stdin>',cls_append1__eq__conv_1) ).

fof(c_0_97_098,axiom,
    ! [X64,X39,X40,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X39)),X64) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X64)),X39) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I23_J_0) ).

fof(c_0_98_099,axiom,
    ! [X64,X39,X40,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
      | c_HOL_Oord__class_Oless(X40,X39,X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X64),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X39),X64),X3) ),
    file('<stdin>',cls_add__less__cancel__right_0) ).

fof(c_0_99_100,axiom,
    ! [X64,X39,X40,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
      | c_HOL_Oord__class_Oless(X40,X39,X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X64),X40),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X64),X39),X3) ),
    file('<stdin>',cls_add__less__cancel__left_0) ).

fof(c_0_100_101,axiom,
    ! [X7,X8,X9] :
      ( X9 = hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__3__1(X9,X8,X7)),c_Type_Osko__Type__Xtyping__elims__3__2(X9,X8,X7))
      | ~ c_Type_Otyping(X8,c_Lambda_OdB_OAbs(X7),X9) ),
    file('<stdin>',cls_typing__elims_I3_J_0) ).

fof(c_0_101_102,axiom,
    ! [X63,X27] :
      ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_OdB_OAbs(X27)),c_Lambda_OdB_OAbs(X63)))
      | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X27),X63)) ),
    file('<stdin>',cls_rtrancl__beta__Abs_0) ).

fof(c_0_102_103,axiom,
    ! [X66,X64,X39,X40,X3] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)
      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X64),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X39),X66),X3)
      | ~ c_HOL_Oord__class_Oless(X64,X66,X3)
      | ~ c_HOL_Oord__class_Oless(X40,X39,X3) ),
    file('<stdin>',cls_add__strict__mono_0) ).

fof(c_0_103_104,axiom,
    ! [X54,X39,X40,X3] :
      ( c_Wellfounded_Oaccp(X54,X39,X3)
      | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X54,X3),X39),X40))
      | ~ c_Wellfounded_Oaccp(X54,X40,X3) ),
    file('<stdin>',cls_accp__downwards_0) ).

fof(c_0_104_105,axiom,
    ! [X54,X39,X40,X3] :
      ( c_Wellfounded_Oaccp(X54,X39,X3)
      | ~ c_Wellfounded_Oaccp(X54,X40,X3)
      | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X54,X3),X39),X40)) ),
    file('<stdin>',cls_accp__downwards__aux_0) ).

fof(c_0_105_106,axiom,
    ! [X61,X41,X28,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X28),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X41),X61)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X28),X41)),X61) ),
    file('<stdin>',cls_class__semiring_Oadd__a_0) ).

fof(c_0_106_107,axiom,
    ! [X64,X39,X40,X3] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X39)),X64) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X39),X64)) ),
    file('<stdin>',cls_comm__monoid__add_Omult__assoc_0) ).

fof(c_0_107_108,axiom,
    ! [X64,X39,X40,X3] :
      ( ~ class_OrderedGroup_Oab__semigroup__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X39)),X64) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X39),X64)) ),
    file('<stdin>',cls_ab__semigroup__add__class_Oadd__ac_I1_J_0) ).

fof(c_0_108_109,axiom,
    ! [X66,X64,X40,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X64),X66)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X64)),X66) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I25_J_0) ).

fof(c_0_109_110,axiom,
    ! [X64,X39,X40,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X39)),X64) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X39),X64)) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I21_J_0) ).

fof(c_0_110_111,axiom,
    ! [X7,X27,X23,X12,X9] :
      ( c_Type_Otyping(X23,hAPP(hAPP(c_Lambda_OdB_OApp,X27),X7),X12)
      | ~ c_Type_Otyping(X23,X7,X9)
      | ~ c_Type_Otyping(X23,X27,hAPP(hAPP(c_Type_Otype_OFun,X9),X12)) ),
    file('<stdin>',cls_App_0) ).

fof(c_0_111_112,axiom,
    ! [X34,X7,X8,X9] :
      ( c_Type_Otyping(X8,X34,X9)
      | ~ c_Type_Otyping(X8,X7,X9)
      | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X7),X34)) ),
    file('<stdin>',cls_subject__reduction_H_0) ).

fof(c_0_112_113,axiom,
    ! [X61,X41,X28,X6,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X28),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X41),X61)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X41),X6)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X28),X61) = X6 ),
    file('<stdin>',cls_add__cancel__21_0) ).

fof(c_0_113_114,axiom,
    ! [X39,X40,X3] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X3)
      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X39),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X39,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X40,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_add__neg__neg_0) ).

fof(c_0_114_115,axiom,
    ! [X39,X40,X3] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X39),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X39,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X40,X3) ),
    file('<stdin>',cls_add__pos__pos_0) ).

fof(c_0_115_116,axiom,
    ! [X64,X39,X40,X3] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)
      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X64),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X39),X64),X3)
      | ~ c_HOL_Oord__class_Oless(X40,X39,X3) ),
    file('<stdin>',cls_add__strict__right__mono_0) ).

fof(c_0_116_117,axiom,
    ! [X64,X39,X40,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X64),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X39),X64),X3)
      | ~ c_HOL_Oord__class_Oless(X40,X39,X3) ),
    file('<stdin>',cls_add__less__cancel__right_1) ).

fof(c_0_117_118,axiom,
    ! [X64,X39,X40,X3] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)
      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X64),X40),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X64),X39),X3)
      | ~ c_HOL_Oord__class_Oless(X40,X39,X3) ),
    file('<stdin>',cls_add__strict__left__mono_0) ).

fof(c_0_118_119,axiom,
    ! [X64,X39,X40,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X64),X40),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X64),X39),X3)
      | ~ c_HOL_Oord__class_Oless(X40,X39,X3) ),
    file('<stdin>',cls_add__less__cancel__left_1) ).

fof(c_0_119_120,axiom,
    ! [X27,X54,X10] :
      ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Olift(X54,X10)),c_Lambda_Olift(X27,X10)))
      | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X54),X27)) ),
    file('<stdin>',cls_lift__preserves__beta_0) ).

fof(c_0_120_121,axiom,
    ! [X64,X39,X40,X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | c_HOL_Oord__class_Oless(X39,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X64),X3)
      | ~ c_HOL_Oord__class_Oless(X39,X64,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X40,X3) ),
    file('<stdin>',cls_pos__add__strict_0) ).

fof(c_0_121_122,axiom,
    ! [X42,X43,X65,X3] :
      ( c_List_Olistsp(X65,c_List_Oappend(X43,X42,X3),X3)
      | ~ c_List_Olistsp(X65,X42,X3)
      | ~ c_List_Olistsp(X65,X43,X3) ),
    file('<stdin>',cls_append__in__listsp__conv_2) ).

fof(c_0_122_123,axiom,
    ! [X40,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X40,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X40),X3) ),
    file('<stdin>',cls_zero__less__double__add__iff__zero__less__single__add_0) ).

fof(c_0_123_124,axiom,
    ! [X40,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(X40,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X40),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_double__add__less__zero__iff__single__less__zero_0) ).

fof(c_0_124_125,axiom,
    ! [X40,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(X40,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X40),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_even__less__0__iff_0) ).

fof(c_0_125_126,axiom,
    ! [X61,X41,X28,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X28),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X41),X61)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X41),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X28),X61)) ),
    file('<stdin>',cls_add__cancel__21_1) ).

fof(c_0_126_127,axiom,
    ! [X64,X39,X40,X3] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X39),X64)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X39),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X64)) ),
    file('<stdin>',cls_comm__monoid__add_Omult__left__commute_0) ).

fof(c_0_127_128,axiom,
    ! [X66,X64,X40,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X64),X66)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X64),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X66)) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I22_J_0) ).

fof(c_0_128_129,axiom,
    ! [X41,X28,X54,X3] :
      ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X54,X3),X28),X41))
      | ~ hBOOL(hAPP(hAPP(X54,X28),X41)) ),
    file('<stdin>',cls_r__into__rtranclp_0) ).

fof(c_0_129_130,axiom,
    ! [X42,X43,X65,X3] :
      ( c_List_Olistsp(X65,X42,X3)
      | ~ c_List_Olistsp(X65,c_List_Oappend(X43,X42,X3),X3) ),
    file('<stdin>',cls_append__in__listsp__conv_1) ).

fof(c_0_130_131,axiom,
    ! [X42,X43,X65,X3] :
      ( c_List_Olistsp(X65,X43,X3)
      | ~ c_List_Olistsp(X65,c_List_Oappend(X43,X42,X3),X3) ),
    file('<stdin>',cls_append__in__listsp__conv_0) ).

fof(c_0_131_132,axiom,
    ! [X54,X30,X10] :
      ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X54,c_Lambda_OdB_OVar(X10),X30)))
      | ~ hBOOL(hAPP(c_InductTermi_OIT,X54)) ),
    file('<stdin>',cls_subst__Var__IT_0) ).

fof(c_0_132_133,axiom,
    ! [X42,X41,X43,X3] :
      ( c_List_Orev(X43,X3) != c_List_Olist_OCons(X41,X42,X3)
      | X43 = c_List_Oappend(c_List_Orev(X42,X3),c_List_Olist_OCons(X41,c_List_Olist_ONil(X3),X3),X3) ),
    file('<stdin>',cls_rev__eq__Cons__iff_0) ).

fof(c_0_133_134,axiom,
    ! [X43,X46,X3] :
      ( c_List_Otake(X46,c_List_Obutlast(X43,X3),X3) = c_List_Otake(X46,X43,X3)
      | ~ c_HOL_Oord__class_Oless(X46,c_Nat_Osize__class_Osize(X43,tc_List_Olist(X3)),tc_nat) ),
    file('<stdin>',cls_take__butlast_0) ).

fof(c_0_134_135,axiom,
    ! [X41,X54,X40,X3] :
      ( c_Wellfounded_Oaccp(X54,X41,X3)
      | ~ hBOOL(hAPP(hAPP(X54,X41),X40))
      | ~ c_Wellfounded_Oaccp(X54,X40,X3) ),
    file('<stdin>',cls_accp_Ocases_0) ).

fof(c_0_135_136,axiom,
    ! [X54,X39,X40,X3] :
      ( c_Wellfounded_Oaccp(X54,X40,X3)
      | ~ hBOOL(hAPP(hAPP(X54,X40),X39))
      | ~ c_Wellfounded_Oaccp(X54,X39,X3) ),
    file('<stdin>',cls_accp__downward_0) ).

fof(c_0_136_137,axiom,
    ! [X40,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X40),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X40,X3) ),
    file('<stdin>',cls_zero__less__double__add__iff__zero__less__single__add_1) ).

fof(c_0_137_138,axiom,
    ! [X40,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X40),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X40,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_double__add__less__zero__iff__single__less__zero_1) ).

fof(c_0_138_139,axiom,
    ! [X40,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X40),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X40,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_even__less__0__iff_1) ).

fof(c_0_139_140,axiom,
    ! [X54] :
      ( hBOOL(hAPP(c_InductTermi_OIT,X54))
      | ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),X54,tc_Lambda_OdB) ),
    file('<stdin>',cls_termi__implies__IT_0) ).

fof(c_0_140_141,axiom,
    ! [X34,X7,X8,X9] :
      ( c_Type_Otyping(X8,X34,X9)
      | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X7),X34))
      | ~ c_Type_Otyping(X8,X7,X9) ),
    file('<stdin>',cls_subject__reduction_0) ).

fof(c_0_141_142,axiom,
    ! [X43,X3] :
      ( c_List_Oappend(c_List_Obutlast(X43,X3),c_List_Olist_OCons(c_List_Olast(X43,X3),c_List_Olist_ONil(X3),X3),X3) = X43
      | X43 = c_List_Olist_ONil(X3) ),
    file('<stdin>',cls_append__butlast__last__id_0) ).

fof(c_0_142_143,axiom,
    ! [X7,X10] :
      ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,X7),c_Lambda_OdB_OVar(X10))))
      | ~ hBOOL(hAPP(c_InductTermi_OIT,X7)) ),
    file('<stdin>',cls_app__Var__IT_0) ).

fof(c_0_143_144,axiom,
    ! [X61,X41,X28,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X61,X28,X3)
      | ~ c_HOL_Oord__class_Oless(X61,X41,X3)
      | ~ c_HOL_Oord__class_Oless(X41,X28,X3) ),
    file('<stdin>',cls_xt1_I10_J_0) ).

fof(c_0_144_145,axiom,
    ! [X61,X41,X28,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_HOL_Oord__class_Oless(X28,X61,X3)
      | ~ c_HOL_Oord__class_Oless(X41,X61,X3)
      | ~ c_HOL_Oord__class_Oless(X28,X41,X3) ),
    file('<stdin>',cls_order__less__trans_0) ).

fof(c_0_145_146,axiom,
    ! [X7,X27] :
      ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(X27)),c_Lambda_OdB_OAbs(X7)))
      | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X27),X7)) ),
    file('<stdin>',cls_abs_0) ).

fof(c_0_146_147,axiom,
    ! [X46,X47,X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | c_HOL_Oord__class_Oless(X47,X46,tc_nat)
      | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X47,X3),c_Nat_Osemiring__1__class_Oof__nat(X46,X3),X3) ),
    file('<stdin>',cls_of__nat__less__iff_0) ).

fof(c_0_147_148,axiom,
    ! [X43,X28,X3] :
      ( c_List_Obutlast(c_List_Olist_OCons(X28,X43,X3),X3) = c_List_Olist_OCons(X28,c_List_Obutlast(X43,X3),X3)
      | X43 = c_List_Olist_ONil(X3) ),
    file('<stdin>',cls_butlast_Osimps_I2_J_1) ).

fof(c_0_148_149,axiom,
    ! [X42,X43,X3] :
      ( c_List_Obutlast(c_List_Oappend(X43,X42,X3),X3) = c_List_Oappend(X43,c_List_Obutlast(X42,X3),X3)
      | X42 = c_List_Olist_ONil(X3) ),
    file('<stdin>',cls_butlast__append_1) ).

fof(c_0_149_150,axiom,
    ! [X46,X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X46,tc_nat)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Nat_Osemiring__1__class_Oof__nat(X46,X3),X3) ),
    file('<stdin>',cls_of__nat__0__less__iff_0) ).

fof(c_0_150_151,axiom,
    ! [X46,X47,X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X47,X3),c_Nat_Osemiring__1__class_Oof__nat(X46,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X47,X46,tc_nat) ),
    file('<stdin>',cls_of__nat__less__iff_1) ).

fof(c_0_151_152,axiom,
    ! [X7] :
      ( c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),X7,tc_Lambda_OdB)
      | ~ hBOOL(hAPP(c_InductTermi_OIT,X7)) ),
    file('<stdin>',cls_IT__implies__termi_0) ).

fof(c_0_152_153,axiom,
    ! [X46,X47,X18] :
      ( hBOOL(hAPP(hAPP(X18,X46),X47))
      | c_HOL_Oord__class_Oless(X46,X47,tc_nat)
      | X47 = X46
      | c_HOL_Oord__class_Oless(X47,X46,tc_nat) ),
    file('<stdin>',cls_nat__less__cases_0) ).

fof(c_0_153_154,axiom,
    ! [X46,X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Nat_Osemiring__1__class_Oof__nat(X46,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X46,tc_nat) ),
    file('<stdin>',cls_of__nat__0__less__iff_1) ).

fof(c_0_154_155,axiom,
    ! [X61,X41,X28,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | ~ class_Int_Onumber__ring(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X28),X41) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X28),X61)
      | X41 = X61 ),
    file('<stdin>',cls_class__ringb_Oadd__cancel_0) ).

fof(c_0_155_156,axiom,
    ! [X39,X40,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | ~ c_HOL_Oord__class_Oless(X40,X39,X3)
      | ~ c_HOL_Oord__class_Oless(X39,X40,X3) ),
    file('<stdin>',cls_xt1_I9_J_0) ).

fof(c_0_156_157,axiom,
    ! [X41,X28,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ c_HOL_Oord__class_Oless(X28,X41,X3)
      | ~ c_HOL_Oord__class_Oless(X41,X28,X3) ),
    file('<stdin>',cls_not__less__iff__gr__or__eq_1) ).

fof(c_0_157_158,axiom,
    ! [X41,X28,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | ~ c_HOL_Oord__class_Oless(X41,X28,X3)
      | ~ c_HOL_Oord__class_Oless(X28,X41,X3) ),
    file('<stdin>',cls_order__less__asym_0) ).

fof(c_0_158_159,axiom,
    ! [X39,X40,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | ~ c_HOL_Oord__class_Oless(X39,X40,X3)
      | ~ c_HOL_Oord__class_Oless(X40,X39,X3) ),
    file('<stdin>',cls_order__less__asym_H_0) ).

fof(c_0_159_160,axiom,
    ! [X43,X28,X3] :
      ( c_List_Olist_OCons(X28,c_List_Olist_ONil(X3),X3) != c_List_Orev(X43,X3)
      | X43 = c_List_Olist_OCons(X28,c_List_Olist_ONil(X3),X3) ),
    file('<stdin>',cls_singleton__rev__conv_0) ).

fof(c_0_160_161,axiom,
    ! [X43,X28,X3] :
      ( c_List_Orev(X43,X3) != c_List_Olist_OCons(X28,c_List_Olist_ONil(X3),X3)
      | X43 = c_List_Olist_OCons(X28,c_List_Olist_ONil(X3),X3) ),
    file('<stdin>',cls_rev__singleton__conv_0) ).

fof(c_0_161_162,axiom,
    ! [X41,X28,X46,X47,X3] :
      ( c_List_Oreplicate(X47,X28,X3) != c_List_Oreplicate(X46,X41,X3)
      | X28 = X41
      | X47 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    file('<stdin>',cls_replicate__eq__replicate_1) ).

fof(c_0_162_163,axiom,
    ! [X41,X28,X46,X47,X3] :
      ( c_List_Oreplicate(X47,X28,X3) != c_List_Oreplicate(X46,X41,X3)
      | X47 = X46 ),
    file('<stdin>',cls_replicate__eq__replicate_0) ).

fof(c_0_163_164,axiom,
    ! [X64,X39,X40,X3] :
      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X39) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X64)
      | X39 = X64 ),
    file('<stdin>',cls_add__imp__eq_0) ).

fof(c_0_164_165,axiom,
    ! [X64,X39,X40,X3] :
      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X39) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X64)
      | X39 = X64 ),
    file('<stdin>',cls_add__left__cancel_0) ).

fof(c_0_165_166,axiom,
    ! [X64,X39,X40,X3] :
      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X39),X40) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X64),X40)
      | X39 = X64 ),
    file('<stdin>',cls_add__right__cancel_0) ).

fof(c_0_166_167,axiom,
    ! [X59,X42,X43,X3] :
      ( c_List_Oappend(X42,X43,X3) != c_List_Oappend(X59,X43,X3)
      | X42 = X59 ),
    file('<stdin>',cls_append__same__eq_0) ).

fof(c_0_167_168,axiom,
    ! [X59,X42,X43,X3] :
      ( c_List_Oappend(X43,X42,X3) != c_List_Oappend(X43,X59,X3)
      | X42 = X59 ),
    file('<stdin>',cls_same__append__eq_0) ).

fof(c_0_168_169,axiom,
    ! [X48,X49,X50,X40,X3] :
      ( c_List_Olist_OCons(X40,X49,X3) != c_List_Olist_OCons(X50,X48,X3)
      | X40 = X50 ),
    file('<stdin>',cls_list_Oinject_0) ).

fof(c_0_169_170,axiom,
    ! [X48,X49,X50,X40,X3] :
      ( c_List_Olist_OCons(X40,X49,X3) != c_List_Olist_OCons(X50,X48,X3)
      | X49 = X48 ),
    file('<stdin>',cls_list_Oinject_1) ).

fof(c_0_170_171,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_171_172,axiom,
    ! [X6,X30,X10] :
      ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X30),X6,X10) = c_Lambda_OdB_OVar(X30)
      | ~ c_HOL_Oord__class_Oless(X30,X10,tc_nat) ),
    file('<stdin>',cls_subst__lt_0) ).

fof(c_0_172_173,axiom,
    ! [X47,X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X47,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_of__nat__less__0__iff_0) ).

fof(c_0_173_174,axiom,
    ! [X43,X28,X3] :
      ( c_List_Olast(c_List_Olist_OCons(X28,X43,X3),X3) = c_List_Olast(X43,X3)
      | X43 = c_List_Olist_ONil(X3) ),
    file('<stdin>',cls_last_Osimps_1) ).

fof(c_0_174_175,axiom,
    ! [X42,X43,X3] :
      ( c_List_Olast(c_List_Oappend(X43,X42,X3),X3) = c_List_Olast(X42,X3)
      | X42 = c_List_Olist_ONil(X3) ),
    file('<stdin>',cls_last__append_1) ).

fof(c_0_175_176,axiom,
    ! [X28,X46,X3] :
      ( c_List_Olast(c_List_Oreplicate(X46,X28,X3),X3) = X28
      | X46 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    file('<stdin>',cls_last__replicate_0) ).

fof(c_0_176_177,axiom,
    ! [X25,X26,X9,X18] :
      ( c_Type_Osko__Type__Xtype__induct__1__1(X18) != hAPP(hAPP(c_Type_Otype_OFun,X26),X25)
      | hBOOL(hAPP(X18,X9))
      | hBOOL(hAPP(X18,X25)) ),
    file('<stdin>',cls_type__induct_1) ).

fof(c_0_177_178,axiom,
    ! [X28,X29,X9,X18] :
      ( c_Type_Osko__Type__Xtype__induct__1__1(X18) != hAPP(hAPP(c_Type_Otype_OFun,X29),X28)
      | hBOOL(hAPP(X18,X9))
      | hBOOL(hAPP(X18,X29)) ),
    file('<stdin>',cls_type__induct_0) ).

fof(c_0_178_179,axiom,
    ! [X7,X10] :
      ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Olift(X7,X10)))
      | ~ hBOOL(hAPP(c_InductTermi_OIT,X7)) ),
    file('<stdin>',cls_lift__IT_0) ).

fof(c_0_179_180,axiom,
    ! [X27,X60,X10] :
      ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X10),X27,X60) = c_Lambda_OdB_OVar(X10)
      | X10 = X60
      | c_HOL_Oord__class_Oless(X60,X10,tc_nat) ),
    file('<stdin>',cls_subst__Var_2) ).

fof(c_0_180_181,axiom,
    ! [X41,X28,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(X41,X28,X3)
      | c_HOL_Oord__class_Oless(X28,X41,X3)
      | X28 = X41 ),
    file('<stdin>',cls_linorder__neqE__ordered__idom_0) ).

fof(c_0_181_182,axiom,
    ! [X41,X28,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | X28 = X41
      | c_HOL_Oord__class_Oless(X41,X28,X3)
      | c_HOL_Oord__class_Oless(X28,X41,X3) ),
    file('<stdin>',cls_not__less__iff__gr__or__eq_0) ).

fof(c_0_182_183,axiom,
    ! [X41,X28,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_HOL_Oord__class_Oless(X41,X28,X3)
      | c_HOL_Oord__class_Oless(X28,X41,X3)
      | X28 = X41 ),
    file('<stdin>',cls_linorder__neqE_0) ).

fof(c_0_183_184,axiom,
    ! [X41,X28,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_HOL_Oord__class_Oless(X41,X28,X3)
      | X28 = X41
      | c_HOL_Oord__class_Oless(X28,X41,X3) ),
    file('<stdin>',cls_linorder__less__linear_0) ).

fof(c_0_184_185,axiom,
    ! [X41,X28,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | X28 = X41
      | c_HOL_Oord__class_Oless(X28,X41,X3)
      | c_HOL_Oord__class_Oless(X41,X28,X3) ),
    file('<stdin>',cls_linorder__antisym__conv3_0) ).

fof(c_0_185_186,axiom,
    ! [X56,X52,X57,X53] :
      ( hAPP(hAPP(c_Lambda_OdB_OApp,X53),X52) != hAPP(hAPP(c_Lambda_OdB_OApp,X57),X56)
      | X52 = X56 ),
    file('<stdin>',cls_dB_Osimps_I2_J_1) ).

fof(c_0_186_187,axiom,
    ! [X56,X52,X57,X53] :
      ( hAPP(hAPP(c_Lambda_OdB_OApp,X53),X52) != hAPP(hAPP(c_Lambda_OdB_OApp,X57),X56)
      | X53 = X57 ),
    file('<stdin>',cls_dB_Osimps_I2_J_0) ).

fof(c_0_187_188,axiom,
    ! [X32,X14,X33,X15] :
      ( hAPP(hAPP(c_Type_Otype_OFun,X15),X14) != hAPP(hAPP(c_Type_Otype_OFun,X33),X32)
      | X15 = X33 ),
    file('<stdin>',cls_type_Osimps_I2_J_0) ).

fof(c_0_188_189,axiom,
    ! [X32,X14,X33,X15] :
      ( hAPP(hAPP(c_Type_Otype_OFun,X15),X14) != hAPP(hAPP(c_Type_Otype_OFun,X33),X32)
      | X14 = X32 ),
    file('<stdin>',cls_type_Osimps_I2_J_1) ).

fof(c_0_189_190,axiom,
    ! [X28,X27] :
      ( c_HOL_Oord__class_Oless(X28,X28,tc_nat)
      | c_Lambda_Osubst(c_Lambda_OdB_OVar(X28),X27,X28) = X27 ),
    file('<stdin>',cls_subst__Var_1) ).

fof(c_0_190_191,axiom,
    ! [X64,X40,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X64) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X64),X40) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I24_J_0) ).

fof(c_0_191_192,axiom,
    ! [X39,X40,X3] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X39) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X39),X40) ),
    file('<stdin>',cls_comm__monoid__add_Omult__commute_0) ).

fof(c_0_192_193,axiom,
    ! [X41,X28,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X28),X41) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X41),X28) ),
    file('<stdin>',cls_class__semiring_Oadd__c_0) ).

fof(c_0_193_194,axiom,
    ! [X10,X8,X9] :
      ( hAPP(X8,X10) = X9
      | ~ c_Type_Otyping(X8,c_Lambda_OdB_OVar(X10),X9) ),
    file('<stdin>',cls_typing__elims_I1_J_0) ).

fof(c_0_194_195,axiom,
    ! [X46,X47] :
      ( c_HOL_Oord__class_Oless(X46,X47,tc_nat)
      | c_HOL_Oord__class_Oless(X47,X46,tc_nat)
      | X47 = X46 ),
    file('<stdin>',cls_nat__neq__iff_0) ).

fof(c_0_195_196,axiom,
    ! [X41,X28] :
      ( c_HOL_Oord__class_Oless(X41,X28,tc_nat)
      | c_HOL_Oord__class_Oless(X28,X41,tc_nat)
      | X28 = X41 ),
    file('<stdin>',cls_linorder__neqE__nat_0) ).

fof(c_0_196_197,axiom,
    ! [X60,X10] :
      ( c_Lambda_Olift(c_Lambda_OdB_OVar(X10),X60) = c_Lambda_OdB_OVar(X10)
      | ~ c_HOL_Oord__class_Oless(X10,X60,tc_nat) ),
    file('<stdin>',cls_lift_Osimps_I1_J_0) ).

fof(c_0_197_198,axiom,
    ! [X28,X40,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | ~ class_Int_Onumber__ring(X3)
      | X28 != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X28),X40)
      | X40 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_class__ringb_Oadd__r0__iff_0) ).

fof(c_0_198_199,axiom,
    ! [X43,X46,X3] :
      ( c_List_Otake(X46,X43,X3) != c_List_Olist_ONil(X3)
      | X43 = c_List_Olist_ONil(X3)
      | X46 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    file('<stdin>',cls_take__eq__Nil_0) ).

fof(c_0_199_200,axiom,
    ! [X40,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X40) != c_HOL_Ozero__class_Ozero(X3)
      | X40 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_double__eq__0__iff_0) ).

fof(c_0_200_201,axiom,
    ! [X43,X3] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(X43,tc_List_Olist(X3)),tc_nat)
      | X43 = c_List_Olist_ONil(X3) ),
    file('<stdin>',cls_length__greater__0__conv_1) ).

fof(c_0_201_202,axiom,
    ! [X9,X18] :
      ( hBOOL(hAPP(X18,X9))
      | ~ hBOOL(hAPP(X18,c_Type_Osko__Type__Xtype__induct__1__1(X18))) ),
    file('<stdin>',cls_type__induct_2) ).

fof(c_0_202_203,axiom,
    ! [X42,X43,X3] :
      ( c_List_Olist_ONil(X3) != c_List_Oappend(X43,X42,X3)
      | X43 = c_List_Olist_ONil(X3) ),
    file('<stdin>',cls_Nil__is__append__conv_0) ).

fof(c_0_203_204,axiom,
    ! [X42,X43,X3] :
      ( c_List_Olist_ONil(X3) != c_List_Oappend(X43,X42,X3)
      | X42 = c_List_Olist_ONil(X3) ),
    file('<stdin>',cls_Nil__is__append__conv_1) ).

fof(c_0_204_205,axiom,
    ! [X42,X43,X3] :
      ( c_List_Oappend(X43,X42,X3) != c_List_Olist_ONil(X3)
      | X43 = c_List_Olist_ONil(X3) ),
    file('<stdin>',cls_append__is__Nil__conv_0) ).

fof(c_0_205_206,axiom,
    ! [X42,X43,X3] :
      ( c_List_Oappend(X43,X42,X3) != c_List_Olist_ONil(X3)
      | X42 = c_List_Olist_ONil(X3) ),
    file('<stdin>',cls_append__is__Nil__conv_1) ).

fof(c_0_206_207,axiom,
    ! [X28,X46,X3] :
      ( c_List_Oreplicate(X46,X28,X3) != c_List_Olist_ONil(X3)
      | X46 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    file('<stdin>',cls_replicate__empty_0) ).

fof(c_0_207_208,axiom,
    ! [X28,X46,X3] :
      ( c_List_Olist_ONil(X3) != c_List_Oreplicate(X46,X28,X3)
      | X46 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    file('<stdin>',cls_empty__replicate_0) ).

fof(c_0_208_209,axiom,
    ! [X28,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | ~ c_HOL_Oord__class_Oless(X28,X28,X3) ),
    file('<stdin>',cls_order__less__le_1) ).

fof(c_0_209_210,axiom,
    ! [X28,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ c_HOL_Oord__class_Oless(X28,X28,X3) ),
    file('<stdin>',cls_linorder__neq__iff_1) ).

fof(c_0_210_211,axiom,
    ! [X28,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | ~ c_HOL_Oord__class_Oless(X28,X28,X3) ),
    file('<stdin>',cls_order__less__irrefl_0) ).

fof(c_0_211_212,axiom,
    ! [X42,X43,X3] :
      ( c_List_Oappend(X43,X42,X3) != X43
      | X42 = c_List_Olist_ONil(X3) ),
    file('<stdin>',cls_append__self__conv_0) ).

fof(c_0_212_213,axiom,
    ! [X42,X43,X3] :
      ( X43 != c_List_Oappend(X43,X42,X3)
      | X42 = c_List_Olist_ONil(X3) ),
    file('<stdin>',cls_self__append__conv_0) ).

fof(c_0_213_214,axiom,
    ! [X42,X43,X3] :
      ( c_List_Oappend(X43,X42,X3) != X42
      | X43 = c_List_Olist_ONil(X3) ),
    file('<stdin>',cls_append__self__conv2_0) ).

fof(c_0_214_215,axiom,
    ! [X42,X43,X3] :
      ( X42 != c_List_Oappend(X43,X42,X3)
      | X43 = c_List_Olist_ONil(X3) ),
    file('<stdin>',cls_self__append__conv2_0) ).

fof(c_0_215_216,axiom,
    ! [X54] :
      ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(X54)))
      | ~ hBOOL(hAPP(c_InductTermi_OIT,X54)) ),
    file('<stdin>',cls_Lambda_0) ).

fof(c_0_216_217,axiom,
    ! [X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),c_HOL_Ozero__class_Ozero(X3)),c_HOL_Ozero__class_Ozero(X3)) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_double__eq__0__iff_1) ).

fof(c_0_217_218,axiom,
    ! [X28,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | ~ class_Int_Onumber__ring(X3)
      | X28 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X28),c_HOL_Ozero__class_Ozero(X3)) ),
    file('<stdin>',cls_class__ringb_Oadd__r0__iff_1) ).

fof(c_0_218_219,axiom,
    ! [X28,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),c_HOL_Ozero__class_Ozero(X3)),X28) = X28 ),
    file('<stdin>',cls_class__semiring_Oadd__0_0) ).

fof(c_0_219_220,axiom,
    ! [X40,X3] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),c_HOL_Ozero__class_Ozero(X3)),X40) = X40 ),
    file('<stdin>',cls_comm__monoid__add_Omult__1_0) ).

fof(c_0_220_221,axiom,
    ! [X40,X3] :
      ( ~ class_OrderedGroup_Omonoid__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),c_HOL_Ozero__class_Ozero(X3)),X40) = X40 ),
    file('<stdin>',cls_add__0__left_0) ).

fof(c_0_221_222,axiom,
    ! [X40,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),c_HOL_Ozero__class_Ozero(X3)),X40) = X40 ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I5_J_0) ).

fof(c_0_222_223,axiom,
    ! [X40,X3] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),c_HOL_Ozero__class_Ozero(X3)) = X40 ),
    file('<stdin>',cls_comm__monoid__add_Omult__1__right_0) ).

fof(c_0_223_224,axiom,
    ! [X40,X3] :
      ( ~ class_OrderedGroup_Omonoid__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),c_HOL_Ozero__class_Ozero(X3)) = X40 ),
    file('<stdin>',cls_monoid__add__class_Oadd__0__right_0) ).

fof(c_0_224_225,axiom,
    ! [X40,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),c_HOL_Ozero__class_Ozero(X3)) = X40 ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I6_J_0) ).

fof(c_0_225_226,axiom,
    ! [X46] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X46,tc_nat)
      | X46 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    file('<stdin>',cls_gr0I_0) ).

fof(c_0_226_227,axiom,
    ! [X46,X47,X3] :
      ( ~ class_Nat_Osemiring__char__0(X3)
      | c_Nat_Osemiring__1__class_Oof__nat(X47,X3) != c_Nat_Osemiring__1__class_Oof__nat(X46,X3)
      | X47 = X46 ),
    file('<stdin>',cls_of__nat__eq__iff_0) ).

fof(c_0_227_228,axiom,
    ! [X42,X43,X3] :
      ( c_List_Orev(X43,X3) != c_List_Orev(X42,X3)
      | X43 = X42 ),
    file('<stdin>',cls_rev__is__rev__conv_0) ).

fof(c_0_228_229,axiom,
    ! [X43,X3] :
      ( c_Nat_Osize__class_Osize(X43,tc_List_Olist(X3)) != c_HOL_Ozero__class_Ozero(tc_nat)
      | X43 = c_List_Olist_ONil(X3) ),
    file('<stdin>',cls_length__0__conv_0) ).

fof(c_0_229_230,axiom,
    ! [X4,X5] :
      ( class_Orderings_Opreorder(tc_fun(X4,X5))
      | ~ class_Orderings_Opreorder(X5) ),
    file('<stdin>',clsarity_fun__Orderings_Opreorder) ).

fof(c_0_230_231,axiom,
    ! [X4,X5] :
      ( class_Orderings_Oorder(tc_fun(X4,X5))
      | ~ class_Orderings_Oorder(X5) ),
    file('<stdin>',clsarity_fun__Orderings_Oorder) ).

fof(c_0_231_232,axiom,
    ! [X43,X3] :
      ( c_List_Orev(X43,X3) != c_List_Olist_ONil(X3)
      | X43 = c_List_Olist_ONil(X3) ),
    file('<stdin>',cls_rev__is__Nil__conv_0) ).

fof(c_0_232_233,axiom,
    ! [X43,X3] :
      ( c_List_Orotate1(X43,X3) != c_List_Olist_ONil(X3)
      | X43 = c_List_Olist_ONil(X3) ),
    file('<stdin>',cls_rotate1__is__Nil__conv_0) ).

fof(c_0_233_234,axiom,
    ! [X43,X3] :
      ( c_List_Olist_ONil(X3) != c_List_Orev(X43,X3)
      | X43 = c_List_Olist_ONil(X3) ),
    file('<stdin>',cls_Nil__is__rev__conv_0) ).

fof(c_0_234_235,axiom,
    ! [X3] :
      ( ~ class_Ring__and__Field_Osemiring__1(X3)
      | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_of__nat__0_0) ).

fof(c_0_235_236,axiom,
    ! [X38,X35] :
      ( c_Type_Otype_OAtom(X35) != c_Type_Otype_OAtom(X38)
      | X35 = X38 ),
    file('<stdin>',cls_type_Osimps_I1_J_0) ).

fof(c_0_236_237,axiom,
    ! [X58,X55] :
      ( c_Lambda_OdB_OAbs(X55) != c_Lambda_OdB_OAbs(X58)
      | X55 = X58 ),
    file('<stdin>',cls_dB_Osimps_I3_J_0) ).

fof(c_0_237_238,axiom,
    ! [X38,X35] :
      ( c_Lambda_OdB_OVar(X35) != c_Lambda_OdB_OVar(X38)
      | X35 = X38 ),
    file('<stdin>',cls_dB_Osimps_I1_J_0) ).

fof(c_0_238_239,plain,
    ! [X31,X13,X10,X8,X12,X22,X9] :
      ( X12 = c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__types__1__1(X9,X12,X8,X31),X9,tc_Type_Otype,tc_Type_Otype)
      | ~ c_Type_Otyping(X8,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X10),X13,tc_Lambda_OdB,tc_Lambda_OdB),X12)
      | ~ c_Type_Otypings(X8,X13,X22)
      | ~ c_Type_Otyping(X8,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X10),X13,tc_Lambda_OdB,tc_Lambda_OdB),X31,tc_Lambda_OdB,tc_Lambda_OdB),X9) ),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_239_240,plain,
    ! [X62,X45,X46] :
      ( X62 = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X46),c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X46,X45,X62),tc_Lambda_OdB,tc_Lambda_OdB)
      | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X46),X45,tc_Lambda_OdB,tc_Lambda_OdB)),X62)) ),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_240_241,plain,
    ! [X31,X13,X10,X8,X12,X22,X9] :
      ( c_Type_Otypings(X8,X31,c_Type_Osko__Type__Xvar__app__types__1__1(X9,X12,X8,X31))
      | ~ c_Type_Otyping(X8,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X10),X13,tc_Lambda_OdB,tc_Lambda_OdB),X12)
      | ~ c_Type_Otypings(X8,X13,X22)
      | ~ c_Type_Otyping(X8,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X10),X13,tc_Lambda_OdB,tc_Lambda_OdB),X31,tc_Lambda_OdB,tc_Lambda_OdB),X9) ),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_241_242,plain,
    ! [X62,X45,X46] :
      ( c_ListOrder_Ostep1(c_Lambda_Obeta,X45,c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X46,X45,X62),tc_Lambda_OdB)
      | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X46),X45,tc_Lambda_OdB,tc_Lambda_OdB)),X62)) ),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_242_243,plain,
    ! [X44,X45,X54] :
      ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X54,X45,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X54,X44,tc_Lambda_OdB,tc_Lambda_OdB)))
      | ~ c_ListOrder_Ostep1(c_Lambda_Obeta,X45,X44,tc_Lambda_OdB) ),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_243_244,plain,
    ! [X44,X27,X54] :
      ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,X54,X44,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X27,X44,tc_Lambda_OdB,tc_Lambda_OdB)))
      | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X54),X27)) ),
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

fof(c_0_244_245,plain,
    ! [X44,X27,X54] :
      ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X54,X44,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X27,X44,tc_Lambda_OdB,tc_Lambda_OdB)))
      | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X54),X27)) ),
    inference(fof_simplification,[status(thm)],[c_0_6]) ).

fof(c_0_245_246,plain,
    ! [X44,X27,X54] :
      ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X54)),X27),X44,tc_Lambda_OdB,tc_Lambda_OdB)))
      | ~ hBOOL(hAPP(c_InductTermi_OIT,X27))
      | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(X54,X27,c_HOL_Ozero__class_Ozero(tc_nat)),X44,tc_Lambda_OdB,tc_Lambda_OdB))) ),
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

fof(c_0_246_247,plain,
    ! [X21] :
      ( v_thesis____
      | ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,X21)
      | ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),hAPP(hAPP(c_Type_Otype_OFun,X21),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) ),
    inference(fof_simplification,[status(thm)],[c_0_8]) ).

fof(c_0_247_248,plain,
    ! [X36,X16,X17,X52,X53,X18] :
      ( ~ hBOOL(hAPP(X18,c_Lambda_OdB_OdB__case(X17,X16,X36,hAPP(hAPP(c_Lambda_OdB_OApp,X53),X52),t_a)))
      | hBOOL(hAPP(X18,hAPP(hAPP(X16,X53),X52))) ),
    inference(fof_simplification,[status(thm)],[c_0_9]) ).

fof(c_0_248_249,plain,
    ! [X51,X19,X36,X16,X17,X18] :
      ( ~ hBOOL(hAPP(X18,c_Lambda_OdB_OdB__case(X17,X16,X36,hAPP(hAPP(c_Lambda_OdB_OApp,X19),X51),t_a)))
      | hBOOL(hAPP(X18,hAPP(hAPP(X16,X19),X51))) ),
    inference(fof_simplification,[status(thm)],[c_0_10]) ).

fof(c_0_249_250,plain,
    ! [X13,X10,X8,X12,X9] :
      ( X9 = X12
      | ~ c_Type_Otyping(X8,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X10),X13,tc_Lambda_OdB,tc_Lambda_OdB),X12)
      | ~ c_Type_Otyping(X8,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X10),X13,tc_Lambda_OdB,tc_Lambda_OdB),X9) ),
    inference(fof_simplification,[status(thm)],[c_0_11]) ).

fof(c_0_250_251,plain,
    ! [X36,X16,X17,X55,X18] :
      ( ~ hBOOL(hAPP(X18,c_Lambda_OdB_OdB__case(X17,X16,X36,c_Lambda_OdB_OAbs(X55),t_a)))
      | hBOOL(hAPP(X18,hAPP(X36,X55))) ),
    inference(fof_simplification,[status(thm)],[c_0_12]) ).

fof(c_0_251_252,plain,
    ! [X20,X36,X16,X17,X18] :
      ( ~ hBOOL(hAPP(X18,c_Lambda_OdB_OdB__case(X17,X16,X36,c_Lambda_OdB_OAbs(X20),t_a)))
      | hBOOL(hAPP(X18,hAPP(X36,X20))) ),
    inference(fof_simplification,[status(thm)],[c_0_13]) ).

fof(c_0_252_253,plain,
    ! [X37,X36,X16,X17,X18] :
      ( ~ hBOOL(hAPP(X18,c_Lambda_OdB_OdB__case(X17,X16,X36,c_Lambda_OdB_OVar(X37),t_a)))
      | hBOOL(hAPP(X18,hAPP(X17,X37))) ),
    inference(fof_simplification,[status(thm)],[c_0_14]) ).

fof(c_0_253_254,plain,
    ! [X35,X36,X16,X17,X18] :
      ( ~ hBOOL(hAPP(X18,c_Lambda_OdB_OdB__case(X17,X16,X36,c_Lambda_OdB_OVar(X35),t_a)))
      | hBOOL(hAPP(X18,hAPP(X17,X35))) ),
    inference(fof_simplification,[status(thm)],[c_0_15]) ).

fof(c_0_254_255,plain,
    ! [X44,X27,X54] :
      ( ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(X54,X27,c_HOL_Ozero__class_Ozero(tc_nat)),X44,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)
      | ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),X27,tc_Lambda_OdB)
      | c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X54)),X27),X44,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB) ),
    inference(fof_simplification,[status(thm)],[c_0_16]) ).

fof(c_0_255_256,plain,
    ! [X13,X10,X8,X9] :
      ( c_Type_Otyping(X8,c_Lambda_OdB_OVar(X10),c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__typesE__1__1(X9,X8,X10,X13),X9,tc_Type_Otype,tc_Type_Otype))
      | ~ c_Type_Otyping(X8,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X10),X13,tc_Lambda_OdB,tc_Lambda_OdB),X9) ),
    inference(fof_simplification,[status(thm)],[c_0_17]) ).

fof(c_0_256_257,plain,
    ! [X13,X7,X8,X9] :
      ( c_Type_Otyping(X8,X7,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeE__1__1(X9,X8,X7,X13),X9,tc_Type_Otype,tc_Type_Otype))
      | ~ c_Type_Otyping(X8,c_List_Ofoldl(c_Lambda_OdB_OApp,X7,X13,tc_Lambda_OdB,tc_Lambda_OdB),X9) ),
    inference(fof_simplification,[status(thm)],[c_0_18]) ).

fof(c_0_257_258,plain,
    ! [X13,X7,X8,X9] :
      ( c_Type_Otyping(X8,X7,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeD__1__1(X9,X8,X7,X13),X9,tc_Type_Otype,tc_Type_Otype))
      | ~ c_Type_Otyping(X8,c_List_Ofoldl(c_Lambda_OdB_OApp,X7,X13,tc_Lambda_OdB,tc_Lambda_OdB),X9) ),
    inference(fof_simplification,[status(thm)],[c_0_19]) ).

fof(c_0_258_259,plain,
    ! [X13,X7,X8,X22,X9] :
      ( c_Type_Otyping(X8,c_List_Ofoldl(c_Lambda_OdB_OApp,X7,X13,tc_Lambda_OdB,tc_Lambda_OdB),X9)
      | ~ c_Type_Otypings(X8,X13,X22)
      | ~ c_Type_Otyping(X8,X7,c_List_Ofoldr(c_Type_Otype_OFun,X22,X9,tc_Type_Otype,tc_Type_Otype)) ),
    inference(fof_simplification,[status(thm)],[c_0_20]) ).

fof(c_0_259_260,plain,
    ! [X45,X46] :
      ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X46),X45,tc_Lambda_OdB,tc_Lambda_OdB)))
      | ~ c_List_Olistsp(c_InductTermi_OIT,X45,tc_Lambda_OdB) ),
    inference(fof_simplification,[status(thm)],[c_0_21]) ).

fof(c_0_260_261,plain,
    ! [X13,X10,X8,X9] :
      ( c_Type_Otypings(X8,X13,c_Type_Osko__Type__Xvar__app__typesE__1__1(X9,X8,X10,X13))
      | ~ c_Type_Otyping(X8,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X10),X13,tc_Lambda_OdB,tc_Lambda_OdB),X9) ),
    inference(fof_simplification,[status(thm)],[c_0_22]) ).

fof(c_0_261_262,plain,
    ! [X13,X7,X8,X9] :
      ( c_Type_Otypings(X8,X13,c_Type_Osko__Type__Xlist__app__typeE__1__1(X9,X8,X7,X13))
      | ~ c_Type_Otyping(X8,c_List_Ofoldl(c_Lambda_OdB_OApp,X7,X13,tc_Lambda_OdB,tc_Lambda_OdB),X9) ),
    inference(fof_simplification,[status(thm)],[c_0_23]) ).

fof(c_0_262_263,plain,
    ! [X13,X7,X8,X9] :
      ( c_Type_Otypings(X8,X13,c_Type_Osko__Type__Xlist__app__typeD__1__1(X9,X8,X7,X13))
      | ~ c_Type_Otyping(X8,c_List_Ofoldl(c_Lambda_OdB_OApp,X7,X13,tc_Lambda_OdB,tc_Lambda_OdB),X9) ),
    inference(fof_simplification,[status(thm)],[c_0_24]) ).

fof(c_0_263_264,axiom,
    ! [X44,X27,X45,X54] :
      ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X54),X45,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X27),X44,tc_Lambda_OdB,tc_Lambda_OdB)
      | X45 = X44 ),
    c_0_25 ).

fof(c_0_264_265,axiom,
    ! [X44,X27,X45,X54] :
      ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X54),X45,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X27),X44,tc_Lambda_OdB,tc_Lambda_OdB)
      | X54 = X27 ),
    c_0_26 ).

fof(c_0_265_266,axiom,
    ! [X44,X45,X46,X47] :
      ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X47),X45,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X46),X44,tc_Lambda_OdB,tc_Lambda_OdB)
      | X45 = X44 ),
    c_0_27 ).

fof(c_0_266_267,axiom,
    ! [X44,X45,X46,X47] :
      ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X47),X45,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X46),X44,tc_Lambda_OdB,tc_Lambda_OdB)
      | X47 = X46 ),
    c_0_28 ).

fof(c_0_267_268,plain,
    ! [X59,X41,X28,X3] :
      ( ~ class_OrderedGroup_Osemigroup__add(X3)
      | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X28),X41),X59,X3,X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X28),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X3),X41,X59,X3,X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_29]) ).

fof(c_0_268_269,axiom,
    ! [X13,X27,X54] :
      ( c_List_Ofoldl(c_Lambda_OdB_OApp,X54,X13,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,X27,X13,tc_Lambda_OdB,tc_Lambda_OdB)
      | X54 = X27 ),
    c_0_30 ).

fof(c_0_269_270,plain,
    ! [X59,X28,X3] :
      ( ~ class_OrderedGroup_Omonoid__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X28),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X3),c_HOL_Ozero__class_Ozero(X3),X59,X3,X3)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X3),X28,X59,X3,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_31]) ).

fof(c_0_270_271,plain,
    ! [X43,X40,X3] :
      ( ~ class_OrderedGroup_Omonoid__add(X3)
      | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X3),X40,X43,X3,X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X3),X43,c_HOL_Ozero__class_Ozero(X3),X3,X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_32]) ).

fof(c_0_271_272,axiom,
    ! [X59,X42,X43,X28,X3] :
      ( c_List_Oappend(X42,X59,X3) != c_List_Olist_OCons(X28,X43,X3)
      | c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X28,X43,X42,X59,X3),X59,X3) = X43
      | X59 = c_List_Olist_OCons(X28,X43,X3) ),
    c_0_33 ).

fof(c_0_272_273,axiom,
    ! [X59,X42,X43,X28,X3] :
      ( c_List_Olist_OCons(X28,X43,X3) != c_List_Oappend(X42,X59,X3)
      | c_List_Olist_OCons(X28,c_List_Osko__List__XCons__eq__append__conv__1__1(X28,X43,X42,X59,X3),X3) = X42
      | c_List_Olist_OCons(X28,X43,X3) = X59 ),
    c_0_34 ).

fof(c_0_273_274,axiom,
    ! [X59,X42,X43,X28,X3] :
      ( c_List_Oappend(X42,X59,X3) != c_List_Olist_OCons(X28,X43,X3)
      | X42 = c_List_Olist_OCons(X28,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X28,X43,X42,X59,X3),X3)
      | X59 = c_List_Olist_OCons(X28,X43,X3) ),
    c_0_35 ).

fof(c_0_274_275,axiom,
    ! [X59,X42,X43,X28,X3] :
      ( c_List_Olist_OCons(X28,X43,X3) != c_List_Oappend(X42,X59,X3)
      | X43 = c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(X28,X43,X42,X59,X3),X59,X3)
      | c_List_Olist_OCons(X28,X43,X3) = X59 ),
    c_0_36 ).

fof(c_0_275_276,axiom,
    ! [X59,X42,X43,X28,X3] :
      ( c_List_Olist_OCons(X28,X43,X3) != c_List_Oappend(X42,X59,X3)
      | X43 = c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(X28,X43,X42,X59,X3),X59,X3)
      | X42 = c_List_Olist_ONil(X3) ),
    c_0_37 ).

fof(c_0_276_277,axiom,
    ! [X59,X42,X43,X28,X3] :
      ( c_List_Oappend(X42,X59,X3) != c_List_Olist_OCons(X28,X43,X3)
      | X42 = c_List_Olist_OCons(X28,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X28,X43,X42,X59,X3),X3)
      | X42 = c_List_Olist_ONil(X3) ),
    c_0_38 ).

fof(c_0_277_278,axiom,
    ! [X59,X42,X43,X28,X3] :
      ( c_List_Oappend(X42,X59,X3) != c_List_Olist_OCons(X28,X43,X3)
      | c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X28,X43,X42,X59,X3),X59,X3) = X43
      | X42 = c_List_Olist_ONil(X3) ),
    c_0_39 ).

fof(c_0_278_279,axiom,
    ! [X59,X42,X43,X28,X3] :
      ( c_List_Olist_OCons(X28,X43,X3) != c_List_Oappend(X42,X59,X3)
      | c_List_Olist_OCons(X28,c_List_Osko__List__XCons__eq__append__conv__1__1(X28,X43,X42,X59,X3),X3) = X42
      | X42 = c_List_Olist_ONil(X3) ),
    c_0_40 ).

fof(c_0_279_280,plain,
    ! [X43,X3] :
      ( ~ class_OrderedGroup_Omonoid__add(X3)
      | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X3),c_HOL_Ozero__class_Ozero(X3),X43,X3,X3) = c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X3),X43,c_HOL_Ozero__class_Ozero(X3),X3,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_41]) ).

fof(c_0_280_281,plain,
    ! [X43,X40,X3] :
      ( ~ class_OrderedGroup_Oab__semigroup__add(X3)
      | c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X3),X43,X40,X3,X3) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X3),X40,X43,X3,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_42]) ).

fof(c_0_281_282,plain,
    ! [X6,X7,X8,X9] :
      ( c_Type_Otyping(X8,X7,hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(X9,X8,X7,X6)),X9))
      | ~ c_Type_Otyping(X8,hAPP(hAPP(c_Lambda_OdB_OApp,X7),X6),X9) ),
    inference(fof_simplification,[status(thm)],[c_0_43]) ).

fof(c_0_282_283,plain,
    ! [X19,X20,X16,X17,X18] :
      ( ~ hBOOL(hAPP(X18,c_Type_Otype_Otype__case(X17,X16,hAPP(hAPP(c_Type_Otype_OFun,X20),X19),t_a)))
      | hBOOL(hAPP(X18,hAPP(hAPP(X16,X20),X19))) ),
    inference(fof_simplification,[status(thm)],[c_0_44]) ).

fof(c_0_283_284,plain,
    ! [X14,X15,X16,X17,X18] :
      ( ~ hBOOL(hAPP(X18,c_Type_Otype_Otype__case(X17,X16,hAPP(hAPP(c_Type_Otype_OFun,X15),X14),t_a)))
      | hBOOL(hAPP(X18,hAPP(hAPP(X16,X15),X14))) ),
    inference(fof_simplification,[status(thm)],[c_0_45]) ).

fof(c_0_284_285,axiom,
    ! [X7,X27,X54] :
      ( hAPP(hAPP(c_Lambda_OdB_OApp,X54),X27) != c_List_Ofoldl(c_Lambda_OdB_OApp,X7,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)
      | hAPP(hAPP(c_Lambda_OdB_OApp,X54),X27) = X7 ),
    c_0_46 ).

fof(c_0_285_286,axiom,
    ! [X44,X27,X54] :
      ( c_Lambda_OdB_OAbs(X54) != c_List_Ofoldl(c_Lambda_OdB_OApp,X27,X44,tc_Lambda_OdB,tc_Lambda_OdB)
      | c_Lambda_OdB_OAbs(X54) = X27 ),
    c_0_47 ).

fof(c_0_286_287,axiom,
    ! [X44,X27,X47] :
      ( c_Lambda_OdB_OVar(X47) != c_List_Ofoldl(c_Lambda_OdB_OApp,X27,X44,tc_Lambda_OdB,tc_Lambda_OdB)
      | c_Lambda_OdB_OVar(X47) = X27 ),
    c_0_48 ).

fof(c_0_287_288,axiom,
    ! [X44,X27,X54] :
      ( c_List_Ofoldl(c_Lambda_OdB_OApp,X27,X44,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X54)
      | X27 = c_Lambda_OdB_OAbs(X54) ),
    c_0_49 ).

fof(c_0_288_289,axiom,
    ! [X44,X27,X47] :
      ( c_Lambda_OdB_OVar(X47) != c_List_Ofoldl(c_Lambda_OdB_OApp,X27,X44,tc_Lambda_OdB,tc_Lambda_OdB)
      | X44 = c_List_Olist_ONil(tc_Lambda_OdB) ),
    c_0_50 ).

fof(c_0_289_290,axiom,
    ! [X44,X27,X54] :
      ( c_Lambda_OdB_OAbs(X54) != c_List_Ofoldl(c_Lambda_OdB_OApp,X27,X44,tc_Lambda_OdB,tc_Lambda_OdB)
      | X44 = c_List_Olist_ONil(tc_Lambda_OdB) ),
    c_0_51 ).

fof(c_0_290_291,axiom,
    ! [X44,X27,X54] :
      ( c_List_Ofoldl(c_Lambda_OdB_OApp,X27,X44,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X54)
      | X44 = c_List_Olist_ONil(tc_Lambda_OdB) ),
    c_0_52 ).

fof(c_0_291_292,plain,
    ! [X41,X28,X54,X3] :
      ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X54,X3),X41),X28))
      | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(X54,X3,X3),X3),X28),X41)) ),
    inference(fof_simplification,[status(thm)],[c_0_53]) ).

fof(c_0_292_293,plain,
    ! [X42,X41,X43,X28,X54,X3] :
      ( hBOOL(hAPP(hAPP(X54,X41),X28))
      | c_ListOrder_Ostep1(X54,X42,X43,X3)
      | ~ c_ListOrder_Ostep1(X54,c_List_Oappend(X42,c_List_Olist_OCons(X41,c_List_Olist_ONil(X3),X3),X3),c_List_Oappend(X43,c_List_Olist_OCons(X28,c_List_Olist_ONil(X3),X3),X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_54]) ).

fof(c_0_293_294,plain,
    ! [X42,X41,X43,X28,X54,X3] :
      ( X42 = X43
      | c_ListOrder_Ostep1(X54,X42,X43,X3)
      | ~ c_ListOrder_Ostep1(X54,c_List_Oappend(X42,c_List_Olist_OCons(X41,c_List_Olist_ONil(X3),X3),X3),c_List_Oappend(X43,c_List_Olist_OCons(X28,c_List_Olist_ONil(X3),X3),X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_55]) ).

fof(c_0_294_295,plain,
    ! [X35,X16,X17,X18] :
      ( ~ hBOOL(hAPP(X18,c_Type_Otype_Otype__case(X17,X16,c_Type_Otype_OAtom(X35),t_a)))
      | hBOOL(hAPP(X18,hAPP(X17,X35))) ),
    inference(fof_simplification,[status(thm)],[c_0_56]) ).

fof(c_0_295_296,plain,
    ! [X51,X16,X17,X18] :
      ( ~ hBOOL(hAPP(X18,c_Type_Otype_Otype__case(X17,X16,c_Type_Otype_OAtom(X51),t_a)))
      | hBOOL(hAPP(X18,hAPP(X17,X51))) ),
    inference(fof_simplification,[status(thm)],[c_0_57]) ).

fof(c_0_296_297,plain,
    ! [X42,X41,X43,X28,X54,X3] :
      ( hBOOL(hAPP(hAPP(X54,X41),X28))
      | X41 = X28
      | ~ c_ListOrder_Ostep1(X54,c_List_Oappend(X42,c_List_Olist_OCons(X41,c_List_Olist_ONil(X3),X3),X3),c_List_Oappend(X43,c_List_Olist_OCons(X28,c_List_Olist_ONil(X3),X3),X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_58]) ).

fof(c_0_297_298,plain,
    ! [X42,X41,X43,X28,X54,X3] :
      ( X42 = X43
      | X41 = X28
      | ~ c_ListOrder_Ostep1(X54,c_List_Oappend(X42,c_List_Olist_OCons(X41,c_List_Olist_ONil(X3),X3),X3),c_List_Oappend(X43,c_List_Olist_OCons(X28,c_List_Olist_ONil(X3),X3),X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_59]) ).

fof(c_0_298_299,plain,
    ! [X41,X28,X54,X3] :
      ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(X54,X3,X3),X3),X28),X41))
      | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X54,X3),X41),X28)) ),
    inference(fof_simplification,[status(thm)],[c_0_60]) ).

fof(c_0_299_300,plain,
    ! [X6,X7,X10,X8,X24,X25,X26] :
      ( v_T____ != hAPP(hAPP(c_Type_Otype_OFun,X26),X25)
      | hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X7,X6,X10)))
      | ~ c_Type_Otyping(X8,X6,X25)
      | ~ hBOOL(hAPP(c_InductTermi_OIT,X6))
      | ~ c_Type_Otyping(c_Type_Oshift(X8,X10,X25,tc_Type_Otype),X7,X24)
      | ~ hBOOL(hAPP(c_InductTermi_OIT,X7)) ),
    inference(fof_simplification,[status(thm)],[c_0_61]) ).

fof(c_0_300_301,plain,
    ! [X6,X7,X10,X8,X24,X25,X26] :
      ( v_T____ != hAPP(hAPP(c_Type_Otype_OFun,X26),X25)
      | hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X7,X6,X10)))
      | ~ c_Type_Otyping(X8,X6,X26)
      | ~ hBOOL(hAPP(c_InductTermi_OIT,X6))
      | ~ c_Type_Otyping(c_Type_Oshift(X8,X10,X26,tc_Type_Otype),X7,X24)
      | ~ hBOOL(hAPP(c_InductTermi_OIT,X7)) ),
    inference(fof_simplification,[status(thm)],[c_0_62]) ).

fof(c_0_301_302,plain,
    ! [X6,X7,X10,X11,X12,X9] :
      ( ~ c_Type_Otyping(X11,X6,X12)
      | ~ c_Type_Otyping(c_Type_Oshift(X11,X10,X12,tc_Type_Otype),X7,X9)
      | c_Type_Otyping(X11,c_Lambda_Osubst(X7,X6,X10),X9) ),
    inference(fof_simplification,[status(thm)],[c_0_63]) ).

fof(c_0_302_303,plain,
    ! [X34,X7,X63,X27] :
      ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,X27),X7)),hAPP(hAPP(c_Lambda_OdB_OApp,X63),X34)))
      | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X7),X34))
      | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X27),X63)) ),
    inference(fof_simplification,[status(thm)],[c_0_64]) ).

fof(c_0_303_304,plain,
    ! [X7,X27,X54,X10] :
      ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(X54,X7,X10)),c_Lambda_Osubst(X27,X7,X10)))
      | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X54),X27)) ),
    inference(fof_simplification,[status(thm)],[c_0_65]) ).

fof(c_0_304_305,plain,
    ! [X7,X27,X54,X10] :
      ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(X7,X54,X10)),c_Lambda_Osubst(X7,X27,X10)))
      | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X54),X27)) ),
    inference(fof_simplification,[status(thm)],[c_0_66]) ).

fof(c_0_305_306,plain,
    ! [X42,X41,X43,X28,X54,X3] :
      ( c_ListOrder_Ostep1(X54,X42,X43,X3)
      | hBOOL(hAPP(hAPP(X54,X41),X28))
      | ~ c_ListOrder_Ostep1(X54,c_List_Olist_OCons(X41,X42,X3),c_List_Olist_OCons(X28,X43,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_67]) ).

fof(c_0_306_307,plain,
    ! [X7,X23,X12,X9] :
      ( c_Type_Otyping(X23,c_Lambda_OdB_OAbs(X7),hAPP(hAPP(c_Type_Otype_OFun,X9),X12))
      | ~ c_Type_Otyping(c_Type_Oshift(X23,c_HOL_Ozero__class_Ozero(tc_nat),X9,tc_Type_Otype),X7,X12) ),
    inference(fof_simplification,[status(thm)],[c_0_68]) ).

fof(c_0_307_308,plain,
    ! [X42,X41,X43,X28,X54,X3] :
      ( c_ListOrder_Ostep1(X54,X42,X43,X3)
      | X43 = X42
      | ~ c_ListOrder_Ostep1(X54,c_List_Olist_OCons(X41,X42,X3),c_List_Olist_OCons(X28,X43,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_69]) ).

fof(c_0_308_309,plain,
    ! [X7,X8,X9] :
      ( c_Type_Otyping(c_Type_Oshift(X8,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Osko__Type__Xtyping__elims__3__1(X9,X8,X7),tc_Type_Otype),X7,c_Type_Osko__Type__Xtyping__elims__3__2(X9,X8,X7))
      | ~ c_Type_Otyping(X8,c_Lambda_OdB_OAbs(X7),X9) ),
    inference(fof_simplification,[status(thm)],[c_0_70]) ).

fof(c_0_309_310,plain,
    ! [X7,X27,X54,X10] :
      ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(X7,X54,X10)),c_Lambda_Osubst(X7,X27,X10)))
      | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X54),X27)) ),
    inference(fof_simplification,[status(thm)],[c_0_71]) ).

fof(c_0_310_311,plain,
    ! [X54,X68,X69,X67,X3] :
      ( hBOOL(hAPP(hAPP(X54,X68),X69))
      | ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X54,X3,X67),X69),X68)) ),
    inference(fof_simplification,[status(thm)],[c_0_72]) ).

fof(c_0_311_312,plain,
    ! [X54,X39,X40,X67,X3] :
      ( hBOOL(hAPP(hAPP(X54,X39),X40))
      | ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X54,X3,X67),X40),X39)) ),
    inference(fof_simplification,[status(thm)],[c_0_73]) ).

fof(c_0_312_313,plain,
    ! [X28,X70,X31,X54,X3] :
      ( c_ListOrder_Ostep1(X54,c_List_Oappend(X28,X70,X3),c_List_Oappend(X28,X31,X3),X3)
      | ~ c_ListOrder_Ostep1(X54,X70,X31,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_74]) ).

fof(c_0_313_314,plain,
    ! [X42,X43,X28,X54,X3] :
      ( ~ c_ListOrder_Ostep1(X54,X42,X43,X3)
      | c_ListOrder_Ostep1(X54,c_List_Oappend(X42,X28,X3),c_List_Oappend(X43,X28,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_75]) ).

fof(c_0_314_315,plain,
    ! [X42,X43,X28,X54,X3] :
      ( c_ListOrder_Ostep1(X54,c_List_Olist_OCons(X28,X42,X3),c_List_Olist_OCons(X28,X43,X3),X3)
      | ~ c_ListOrder_Ostep1(X54,X42,X43,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_76]) ).

fof(c_0_315_316,plain,
    ! [X7,X63,X27] :
      ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,X27),X7)),hAPP(hAPP(c_Lambda_OdB_OApp,X63),X7)))
      | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X27),X63)) ),
    inference(fof_simplification,[status(thm)],[c_0_77]) ).

fof(c_0_316_317,plain,
    ! [X34,X7,X27] :
      ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,X27),X7)),hAPP(hAPP(c_Lambda_OdB_OApp,X27),X34)))
      | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X7),X34)) ),
    inference(fof_simplification,[status(thm)],[c_0_78]) ).

fof(c_0_317_318,plain,
    ! [X7,X27,X54,X10] :
      ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Osubst(X54,X7,X10)),c_Lambda_Osubst(X27,X7,X10)))
      | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X54),X27)) ),
    inference(fof_simplification,[status(thm)],[c_0_79]) ).

fof(c_0_318_319,plain,
    ! [X42,X41,X43,X28,X54,X3] :
      ( X28 = X41
      | hBOOL(hAPP(hAPP(X54,X41),X28))
      | ~ c_ListOrder_Ostep1(X54,c_List_Olist_OCons(X41,X42,X3),c_List_Olist_OCons(X28,X43,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_80]) ).

fof(c_0_319_320,plain,
    ! [X61,X41,X28,X54,X3] :
      ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X54,X3),X28),X61))
      | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X54,X3),X41),X61))
      | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X54,X3),X28),X41)) ),
    inference(fof_simplification,[status(thm)],[c_0_81]) ).

fof(c_0_320_321,plain,
    ! [X6,X7,X8,X9] :
      ( c_Type_Otyping(X8,X6,c_Type_Osko__Type__Xtyping__elims__2__1(X9,X8,X7,X6))
      | ~ c_Type_Otyping(X8,hAPP(hAPP(c_Lambda_OdB_OApp,X7),X6),X9) ),
    inference(fof_simplification,[status(thm)],[c_0_82]) ).

fof(c_0_321_322,plain,
    ! [X42,X41,X43,X28,X54,X3] :
      ( X28 = X41
      | X43 = X42
      | ~ c_ListOrder_Ostep1(X54,c_List_Olist_OCons(X41,X42,X3),c_List_Olist_OCons(X28,X43,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_83]) ).

fof(c_0_322_323,plain,
    ! [X66,X64,X39,X40,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X39)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X64),X66)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X64)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X39),X66)) ),
    inference(fof_simplification,[status(thm)],[c_0_84]) ).

fof(c_0_323_324,plain,
    ! [X7,X10,X8,X12,X9] :
      ( c_Type_Otyping(c_Type_Oshift(X8,X10,X12,tc_Type_Otype),c_Lambda_Olift(X7,X10),X9)
      | ~ c_Type_Otyping(X8,X7,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_85]) ).

fof(c_0_324_325,plain,
    ! [X54,X39,X40,X67,X3] :
      ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X54,X3,X67),X39),X40))
      | ~ hBOOL(hAPP(hAPP(X54,X40),X39)) ),
    inference(fof_simplification,[status(thm)],[c_0_86]) ).

fof(c_0_325_326,plain,
    ! [X54,X39,X40,X67,X3] :
      ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X54,X3,X67),X40),X39))
      | ~ hBOOL(hAPP(hAPP(X54,X39),X40)) ),
    inference(fof_simplification,[status(thm)],[c_0_87]) ).

fof(c_0_326_327,plain,
    ! [X6,X7,X27] :
      ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X6),X27)),hAPP(hAPP(c_Lambda_OdB_OApp,X6),X7)))
      | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X27),X7)) ),
    inference(fof_simplification,[status(thm)],[c_0_88]) ).

fof(c_0_327_328,plain,
    ! [X6,X7,X27] :
      ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X27),X6)),hAPP(hAPP(c_Lambda_OdB_OApp,X7),X6)))
      | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X27),X7)) ),
    inference(fof_simplification,[status(thm)],[c_0_89]) ).

fof(c_0_328_329,plain,
    ! [X54,X64,X39,X40,X3] :
      ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X54,X3),X40),X64))
      | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X54,X3),X39),X64))
      | ~ hBOOL(hAPP(hAPP(X54,X40),X39)) ),
    inference(fof_simplification,[status(thm)],[c_0_90]) ).

fof(c_0_329_330,plain,
    ! [X54,X64,X39,X40,X3] :
      ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X54,X3),X40),X64))
      | ~ hBOOL(hAPP(hAPP(X54,X39),X64))
      | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X54,X3),X40),X39)) ),
    inference(fof_simplification,[status(thm)],[c_0_91]) ).

fof(c_0_330_331,plain,
    ! [X30,X10,X8,X9,X3] :
      ( hAPP(c_Type_Oshift(X8,X10,X9,X3),X30) = hAPP(X8,X30)
      | ~ c_HOL_Oord__class_Oless(X30,X10,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_92]) ).

fof(c_0_331_332,plain,
    ! [X41,X20,X28,X54,X3] :
      ( ~ hBOOL(hAPP(hAPP(X54,X41),X20))
      | c_ListOrder_Ostep1(X54,c_List_Olist_OCons(X41,X28,X3),c_List_Olist_OCons(X20,X28,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_93]) ).

fof(c_0_332_333,plain,
    ! [X27,X54,X10] :
      ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Olift(X54,X10)),c_Lambda_Olift(X27,X10)))
      | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X54),X27)) ),
    inference(fof_simplification,[status(thm)],[c_0_94]) ).

fof(c_0_333_334,axiom,
    ! [X42,X41,X43,X28,X3] :
      ( c_List_Oappend(X43,c_List_Olist_OCons(X28,c_List_Olist_ONil(X3),X3),X3) != c_List_Oappend(X42,c_List_Olist_OCons(X41,c_List_Olist_ONil(X3),X3),X3)
      | X43 = X42 ),
    c_0_95 ).

fof(c_0_334_335,axiom,
    ! [X42,X41,X43,X28,X3] :
      ( c_List_Oappend(X43,c_List_Olist_OCons(X28,c_List_Olist_ONil(X3),X3),X3) != c_List_Oappend(X42,c_List_Olist_OCons(X41,c_List_Olist_ONil(X3),X3),X3)
      | X28 = X41 ),
    c_0_96 ).

fof(c_0_335_336,plain,
    ! [X64,X39,X40,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X39)),X64) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X64)),X39) ),
    inference(fof_simplification,[status(thm)],[c_0_97]) ).

fof(c_0_336_337,plain,
    ! [X64,X39,X40,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
      | c_HOL_Oord__class_Oless(X40,X39,X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X64),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X39),X64),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_98]) ).

fof(c_0_337_338,plain,
    ! [X64,X39,X40,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
      | c_HOL_Oord__class_Oless(X40,X39,X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X64),X40),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X64),X39),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_99]) ).

fof(c_0_338_339,plain,
    ! [X7,X8,X9] :
      ( X9 = hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__3__1(X9,X8,X7)),c_Type_Osko__Type__Xtyping__elims__3__2(X9,X8,X7))
      | ~ c_Type_Otyping(X8,c_Lambda_OdB_OAbs(X7),X9) ),
    inference(fof_simplification,[status(thm)],[c_0_100]) ).

fof(c_0_339_340,plain,
    ! [X63,X27] :
      ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_OdB_OAbs(X27)),c_Lambda_OdB_OAbs(X63)))
      | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X27),X63)) ),
    inference(fof_simplification,[status(thm)],[c_0_101]) ).

fof(c_0_340_341,plain,
    ! [X66,X64,X39,X40,X3] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)
      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X64),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X39),X66),X3)
      | ~ c_HOL_Oord__class_Oless(X64,X66,X3)
      | ~ c_HOL_Oord__class_Oless(X40,X39,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_102]) ).

fof(c_0_341_342,plain,
    ! [X54,X39,X40,X3] :
      ( c_Wellfounded_Oaccp(X54,X39,X3)
      | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X54,X3),X39),X40))
      | ~ c_Wellfounded_Oaccp(X54,X40,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_103]) ).

fof(c_0_342_343,plain,
    ! [X54,X39,X40,X3] :
      ( c_Wellfounded_Oaccp(X54,X39,X3)
      | ~ c_Wellfounded_Oaccp(X54,X40,X3)
      | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X54,X3),X39),X40)) ),
    inference(fof_simplification,[status(thm)],[c_0_104]) ).

fof(c_0_343_344,plain,
    ! [X61,X41,X28,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X28),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X41),X61)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X28),X41)),X61) ),
    inference(fof_simplification,[status(thm)],[c_0_105]) ).

fof(c_0_344_345,plain,
    ! [X64,X39,X40,X3] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X39)),X64) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X39),X64)) ),
    inference(fof_simplification,[status(thm)],[c_0_106]) ).

fof(c_0_345_346,plain,
    ! [X64,X39,X40,X3] :
      ( ~ class_OrderedGroup_Oab__semigroup__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X39)),X64) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X39),X64)) ),
    inference(fof_simplification,[status(thm)],[c_0_107]) ).

fof(c_0_346_347,plain,
    ! [X66,X64,X40,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X64),X66)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X64)),X66) ),
    inference(fof_simplification,[status(thm)],[c_0_108]) ).

fof(c_0_347_348,plain,
    ! [X64,X39,X40,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X39)),X64) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X39),X64)) ),
    inference(fof_simplification,[status(thm)],[c_0_109]) ).

fof(c_0_348_349,plain,
    ! [X7,X27,X23,X12,X9] :
      ( c_Type_Otyping(X23,hAPP(hAPP(c_Lambda_OdB_OApp,X27),X7),X12)
      | ~ c_Type_Otyping(X23,X7,X9)
      | ~ c_Type_Otyping(X23,X27,hAPP(hAPP(c_Type_Otype_OFun,X9),X12)) ),
    inference(fof_simplification,[status(thm)],[c_0_110]) ).

fof(c_0_349_350,plain,
    ! [X34,X7,X8,X9] :
      ( c_Type_Otyping(X8,X34,X9)
      | ~ c_Type_Otyping(X8,X7,X9)
      | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X7),X34)) ),
    inference(fof_simplification,[status(thm)],[c_0_111]) ).

fof(c_0_350_351,plain,
    ! [X61,X41,X28,X6,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X28),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X41),X61)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X41),X6)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X28),X61) = X6 ),
    inference(fof_simplification,[status(thm)],[c_0_112]) ).

fof(c_0_351_352,plain,
    ! [X39,X40,X3] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X3)
      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X39),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X39,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X40,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_113]) ).

fof(c_0_352_353,plain,
    ! [X39,X40,X3] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X39),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X39,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X40,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_114]) ).

fof(c_0_353_354,plain,
    ! [X64,X39,X40,X3] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)
      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X64),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X39),X64),X3)
      | ~ c_HOL_Oord__class_Oless(X40,X39,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_115]) ).

fof(c_0_354_355,plain,
    ! [X64,X39,X40,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X64),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X39),X64),X3)
      | ~ c_HOL_Oord__class_Oless(X40,X39,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_116]) ).

fof(c_0_355_356,plain,
    ! [X64,X39,X40,X3] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)
      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X64),X40),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X64),X39),X3)
      | ~ c_HOL_Oord__class_Oless(X40,X39,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_117]) ).

fof(c_0_356_357,plain,
    ! [X64,X39,X40,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X64),X40),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X64),X39),X3)
      | ~ c_HOL_Oord__class_Oless(X40,X39,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_118]) ).

fof(c_0_357_358,plain,
    ! [X27,X54,X10] :
      ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Olift(X54,X10)),c_Lambda_Olift(X27,X10)))
      | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X54),X27)) ),
    inference(fof_simplification,[status(thm)],[c_0_119]) ).

fof(c_0_358_359,plain,
    ! [X64,X39,X40,X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | c_HOL_Oord__class_Oless(X39,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X64),X3)
      | ~ c_HOL_Oord__class_Oless(X39,X64,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X40,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_120]) ).

fof(c_0_359_360,plain,
    ! [X42,X43,X65,X3] :
      ( c_List_Olistsp(X65,c_List_Oappend(X43,X42,X3),X3)
      | ~ c_List_Olistsp(X65,X42,X3)
      | ~ c_List_Olistsp(X65,X43,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_121]) ).

fof(c_0_360_361,plain,
    ! [X40,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X40,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X40),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_122]) ).

fof(c_0_361_362,plain,
    ! [X40,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(X40,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X40),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_123]) ).

fof(c_0_362_363,plain,
    ! [X40,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(X40,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X40),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_124]) ).

fof(c_0_363_364,plain,
    ! [X61,X41,X28,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X28),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X41),X61)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X41),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X28),X61)) ),
    inference(fof_simplification,[status(thm)],[c_0_125]) ).

fof(c_0_364_365,plain,
    ! [X64,X39,X40,X3] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X39),X64)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X39),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X64)) ),
    inference(fof_simplification,[status(thm)],[c_0_126]) ).

fof(c_0_365_366,plain,
    ! [X66,X64,X40,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X64),X66)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X64),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X66)) ),
    inference(fof_simplification,[status(thm)],[c_0_127]) ).

fof(c_0_366_367,plain,
    ! [X41,X28,X54,X3] :
      ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X54,X3),X28),X41))
      | ~ hBOOL(hAPP(hAPP(X54,X28),X41)) ),
    inference(fof_simplification,[status(thm)],[c_0_128]) ).

fof(c_0_367_368,plain,
    ! [X42,X43,X65,X3] :
      ( c_List_Olistsp(X65,X42,X3)
      | ~ c_List_Olistsp(X65,c_List_Oappend(X43,X42,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_129]) ).

fof(c_0_368_369,plain,
    ! [X42,X43,X65,X3] :
      ( c_List_Olistsp(X65,X43,X3)
      | ~ c_List_Olistsp(X65,c_List_Oappend(X43,X42,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_130]) ).

fof(c_0_369_370,plain,
    ! [X54,X30,X10] :
      ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X54,c_Lambda_OdB_OVar(X10),X30)))
      | ~ hBOOL(hAPP(c_InductTermi_OIT,X54)) ),
    inference(fof_simplification,[status(thm)],[c_0_131]) ).

fof(c_0_370_371,axiom,
    ! [X42,X41,X43,X3] :
      ( c_List_Orev(X43,X3) != c_List_Olist_OCons(X41,X42,X3)
      | X43 = c_List_Oappend(c_List_Orev(X42,X3),c_List_Olist_OCons(X41,c_List_Olist_ONil(X3),X3),X3) ),
    c_0_132 ).

fof(c_0_371_372,plain,
    ! [X43,X46,X3] :
      ( c_List_Otake(X46,c_List_Obutlast(X43,X3),X3) = c_List_Otake(X46,X43,X3)
      | ~ c_HOL_Oord__class_Oless(X46,c_Nat_Osize__class_Osize(X43,tc_List_Olist(X3)),tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_133]) ).

fof(c_0_372_373,plain,
    ! [X41,X54,X40,X3] :
      ( c_Wellfounded_Oaccp(X54,X41,X3)
      | ~ hBOOL(hAPP(hAPP(X54,X41),X40))
      | ~ c_Wellfounded_Oaccp(X54,X40,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_134]) ).

fof(c_0_373_374,plain,
    ! [X54,X39,X40,X3] :
      ( c_Wellfounded_Oaccp(X54,X40,X3)
      | ~ hBOOL(hAPP(hAPP(X54,X40),X39))
      | ~ c_Wellfounded_Oaccp(X54,X39,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_135]) ).

fof(c_0_374_375,plain,
    ! [X40,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X40),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X40,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_136]) ).

fof(c_0_375_376,plain,
    ! [X40,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X40),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X40,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_137]) ).

fof(c_0_376_377,plain,
    ! [X40,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X40),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X40,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_138]) ).

fof(c_0_377_378,plain,
    ! [X54] :
      ( hBOOL(hAPP(c_InductTermi_OIT,X54))
      | ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),X54,tc_Lambda_OdB) ),
    inference(fof_simplification,[status(thm)],[c_0_139]) ).

fof(c_0_378_379,plain,
    ! [X34,X7,X8,X9] :
      ( c_Type_Otyping(X8,X34,X9)
      | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X7),X34))
      | ~ c_Type_Otyping(X8,X7,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_140]) ).

fof(c_0_379_380,axiom,
    ! [X43,X3] :
      ( c_List_Oappend(c_List_Obutlast(X43,X3),c_List_Olist_OCons(c_List_Olast(X43,X3),c_List_Olist_ONil(X3),X3),X3) = X43
      | X43 = c_List_Olist_ONil(X3) ),
    c_0_141 ).

fof(c_0_380_381,plain,
    ! [X7,X10] :
      ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,X7),c_Lambda_OdB_OVar(X10))))
      | ~ hBOOL(hAPP(c_InductTermi_OIT,X7)) ),
    inference(fof_simplification,[status(thm)],[c_0_142]) ).

fof(c_0_381_382,plain,
    ! [X61,X41,X28,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X61,X28,X3)
      | ~ c_HOL_Oord__class_Oless(X61,X41,X3)
      | ~ c_HOL_Oord__class_Oless(X41,X28,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_143]) ).

fof(c_0_382_383,plain,
    ! [X61,X41,X28,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_HOL_Oord__class_Oless(X28,X61,X3)
      | ~ c_HOL_Oord__class_Oless(X41,X61,X3)
      | ~ c_HOL_Oord__class_Oless(X28,X41,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_144]) ).

fof(c_0_383_384,plain,
    ! [X7,X27] :
      ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(X27)),c_Lambda_OdB_OAbs(X7)))
      | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X27),X7)) ),
    inference(fof_simplification,[status(thm)],[c_0_145]) ).

fof(c_0_384_385,plain,
    ! [X46,X47,X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | c_HOL_Oord__class_Oless(X47,X46,tc_nat)
      | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X47,X3),c_Nat_Osemiring__1__class_Oof__nat(X46,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_146]) ).

fof(c_0_385_386,axiom,
    ! [X43,X28,X3] :
      ( c_List_Obutlast(c_List_Olist_OCons(X28,X43,X3),X3) = c_List_Olist_OCons(X28,c_List_Obutlast(X43,X3),X3)
      | X43 = c_List_Olist_ONil(X3) ),
    c_0_147 ).

fof(c_0_386_387,axiom,
    ! [X42,X43,X3] :
      ( c_List_Obutlast(c_List_Oappend(X43,X42,X3),X3) = c_List_Oappend(X43,c_List_Obutlast(X42,X3),X3)
      | X42 = c_List_Olist_ONil(X3) ),
    c_0_148 ).

fof(c_0_387_388,plain,
    ! [X46,X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X46,tc_nat)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Nat_Osemiring__1__class_Oof__nat(X46,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_149]) ).

fof(c_0_388_389,plain,
    ! [X46,X47,X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X47,X3),c_Nat_Osemiring__1__class_Oof__nat(X46,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X47,X46,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_150]) ).

fof(c_0_389_390,plain,
    ! [X7] :
      ( c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),X7,tc_Lambda_OdB)
      | ~ hBOOL(hAPP(c_InductTermi_OIT,X7)) ),
    inference(fof_simplification,[status(thm)],[c_0_151]) ).

fof(c_0_390_391,axiom,
    ! [X46,X47,X18] :
      ( hBOOL(hAPP(hAPP(X18,X46),X47))
      | c_HOL_Oord__class_Oless(X46,X47,tc_nat)
      | X47 = X46
      | c_HOL_Oord__class_Oless(X47,X46,tc_nat) ),
    c_0_152 ).

fof(c_0_391_392,plain,
    ! [X46,X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Nat_Osemiring__1__class_Oof__nat(X46,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X46,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_153]) ).

fof(c_0_392_393,plain,
    ! [X61,X41,X28,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | ~ class_Int_Onumber__ring(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X28),X41) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X28),X61)
      | X41 = X61 ),
    inference(fof_simplification,[status(thm)],[c_0_154]) ).

fof(c_0_393_394,plain,
    ! [X39,X40,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | ~ c_HOL_Oord__class_Oless(X40,X39,X3)
      | ~ c_HOL_Oord__class_Oless(X39,X40,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_155]) ).

fof(c_0_394_395,plain,
    ! [X41,X28,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ c_HOL_Oord__class_Oless(X28,X41,X3)
      | ~ c_HOL_Oord__class_Oless(X41,X28,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_156]) ).

fof(c_0_395_396,plain,
    ! [X41,X28,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | ~ c_HOL_Oord__class_Oless(X41,X28,X3)
      | ~ c_HOL_Oord__class_Oless(X28,X41,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_157]) ).

fof(c_0_396_397,plain,
    ! [X39,X40,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | ~ c_HOL_Oord__class_Oless(X39,X40,X3)
      | ~ c_HOL_Oord__class_Oless(X40,X39,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_158]) ).

fof(c_0_397_398,axiom,
    ! [X43,X28,X3] :
      ( c_List_Olist_OCons(X28,c_List_Olist_ONil(X3),X3) != c_List_Orev(X43,X3)
      | X43 = c_List_Olist_OCons(X28,c_List_Olist_ONil(X3),X3) ),
    c_0_159 ).

fof(c_0_398_399,axiom,
    ! [X43,X28,X3] :
      ( c_List_Orev(X43,X3) != c_List_Olist_OCons(X28,c_List_Olist_ONil(X3),X3)
      | X43 = c_List_Olist_OCons(X28,c_List_Olist_ONil(X3),X3) ),
    c_0_160 ).

fof(c_0_399_400,axiom,
    ! [X41,X28,X46,X47,X3] :
      ( c_List_Oreplicate(X47,X28,X3) != c_List_Oreplicate(X46,X41,X3)
      | X28 = X41
      | X47 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    c_0_161 ).

fof(c_0_400_401,axiom,
    ! [X41,X28,X46,X47,X3] :
      ( c_List_Oreplicate(X47,X28,X3) != c_List_Oreplicate(X46,X41,X3)
      | X47 = X46 ),
    c_0_162 ).

fof(c_0_401_402,plain,
    ! [X64,X39,X40,X3] :
      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X39) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X64)
      | X39 = X64 ),
    inference(fof_simplification,[status(thm)],[c_0_163]) ).

fof(c_0_402_403,plain,
    ! [X64,X39,X40,X3] :
      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X39) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X64)
      | X39 = X64 ),
    inference(fof_simplification,[status(thm)],[c_0_164]) ).

fof(c_0_403_404,plain,
    ! [X64,X39,X40,X3] :
      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X39),X40) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X64),X40)
      | X39 = X64 ),
    inference(fof_simplification,[status(thm)],[c_0_165]) ).

fof(c_0_404_405,axiom,
    ! [X59,X42,X43,X3] :
      ( c_List_Oappend(X42,X43,X3) != c_List_Oappend(X59,X43,X3)
      | X42 = X59 ),
    c_0_166 ).

fof(c_0_405_406,axiom,
    ! [X59,X42,X43,X3] :
      ( c_List_Oappend(X43,X42,X3) != c_List_Oappend(X43,X59,X3)
      | X42 = X59 ),
    c_0_167 ).

fof(c_0_406_407,axiom,
    ! [X48,X49,X50,X40,X3] :
      ( c_List_Olist_OCons(X40,X49,X3) != c_List_Olist_OCons(X50,X48,X3)
      | X40 = X50 ),
    c_0_168 ).

fof(c_0_407_408,axiom,
    ! [X48,X49,X50,X40,X3] :
      ( c_List_Olist_OCons(X40,X49,X3) != c_List_Olist_OCons(X50,X48,X3)
      | X49 = X48 ),
    c_0_169 ).

fof(c_0_408_409,plain,
    ! [X1,X2,X3] :
      ( X2 = X1
      | ~ hBOOL(hAPP(hAPP(c_fequal(X3),X2),X1)) ),
    inference(fof_simplification,[status(thm)],[c_0_170]) ).

fof(c_0_409_410,plain,
    ! [X6,X30,X10] :
      ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X30),X6,X10) = c_Lambda_OdB_OVar(X30)
      | ~ c_HOL_Oord__class_Oless(X30,X10,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_171]) ).

fof(c_0_410_411,plain,
    ! [X47,X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X47,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_172]) ).

fof(c_0_411_412,axiom,
    ! [X43,X28,X3] :
      ( c_List_Olast(c_List_Olist_OCons(X28,X43,X3),X3) = c_List_Olast(X43,X3)
      | X43 = c_List_Olist_ONil(X3) ),
    c_0_173 ).

fof(c_0_412_413,axiom,
    ! [X42,X43,X3] :
      ( c_List_Olast(c_List_Oappend(X43,X42,X3),X3) = c_List_Olast(X42,X3)
      | X42 = c_List_Olist_ONil(X3) ),
    c_0_174 ).

fof(c_0_413_414,axiom,
    ! [X28,X46,X3] :
      ( c_List_Olast(c_List_Oreplicate(X46,X28,X3),X3) = X28
      | X46 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    c_0_175 ).

fof(c_0_414_415,axiom,
    ! [X25,X26,X9,X18] :
      ( c_Type_Osko__Type__Xtype__induct__1__1(X18) != hAPP(hAPP(c_Type_Otype_OFun,X26),X25)
      | hBOOL(hAPP(X18,X9))
      | hBOOL(hAPP(X18,X25)) ),
    c_0_176 ).

fof(c_0_415_416,axiom,
    ! [X28,X29,X9,X18] :
      ( c_Type_Osko__Type__Xtype__induct__1__1(X18) != hAPP(hAPP(c_Type_Otype_OFun,X29),X28)
      | hBOOL(hAPP(X18,X9))
      | hBOOL(hAPP(X18,X29)) ),
    c_0_177 ).

fof(c_0_416_417,plain,
    ! [X7,X10] :
      ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Olift(X7,X10)))
      | ~ hBOOL(hAPP(c_InductTermi_OIT,X7)) ),
    inference(fof_simplification,[status(thm)],[c_0_178]) ).

fof(c_0_417_418,axiom,
    ! [X27,X60,X10] :
      ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X10),X27,X60) = c_Lambda_OdB_OVar(X10)
      | X10 = X60
      | c_HOL_Oord__class_Oless(X60,X10,tc_nat) ),
    c_0_179 ).

fof(c_0_418_419,plain,
    ! [X41,X28,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(X41,X28,X3)
      | c_HOL_Oord__class_Oless(X28,X41,X3)
      | X28 = X41 ),
    inference(fof_simplification,[status(thm)],[c_0_180]) ).

fof(c_0_419_420,plain,
    ! [X41,X28,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | X28 = X41
      | c_HOL_Oord__class_Oless(X41,X28,X3)
      | c_HOL_Oord__class_Oless(X28,X41,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_181]) ).

fof(c_0_420_421,plain,
    ! [X41,X28,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_HOL_Oord__class_Oless(X41,X28,X3)
      | c_HOL_Oord__class_Oless(X28,X41,X3)
      | X28 = X41 ),
    inference(fof_simplification,[status(thm)],[c_0_182]) ).

fof(c_0_421_422,plain,
    ! [X41,X28,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_HOL_Oord__class_Oless(X41,X28,X3)
      | X28 = X41
      | c_HOL_Oord__class_Oless(X28,X41,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_183]) ).

fof(c_0_422_423,plain,
    ! [X41,X28,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | X28 = X41
      | c_HOL_Oord__class_Oless(X28,X41,X3)
      | c_HOL_Oord__class_Oless(X41,X28,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_184]) ).

fof(c_0_423_424,axiom,
    ! [X56,X52,X57,X53] :
      ( hAPP(hAPP(c_Lambda_OdB_OApp,X53),X52) != hAPP(hAPP(c_Lambda_OdB_OApp,X57),X56)
      | X52 = X56 ),
    c_0_185 ).

fof(c_0_424_425,axiom,
    ! [X56,X52,X57,X53] :
      ( hAPP(hAPP(c_Lambda_OdB_OApp,X53),X52) != hAPP(hAPP(c_Lambda_OdB_OApp,X57),X56)
      | X53 = X57 ),
    c_0_186 ).

fof(c_0_425_426,axiom,
    ! [X32,X14,X33,X15] :
      ( hAPP(hAPP(c_Type_Otype_OFun,X15),X14) != hAPP(hAPP(c_Type_Otype_OFun,X33),X32)
      | X15 = X33 ),
    c_0_187 ).

fof(c_0_426_427,axiom,
    ! [X32,X14,X33,X15] :
      ( hAPP(hAPP(c_Type_Otype_OFun,X15),X14) != hAPP(hAPP(c_Type_Otype_OFun,X33),X32)
      | X14 = X32 ),
    c_0_188 ).

fof(c_0_427_428,axiom,
    ! [X28,X27] :
      ( c_HOL_Oord__class_Oless(X28,X28,tc_nat)
      | c_Lambda_Osubst(c_Lambda_OdB_OVar(X28),X27,X28) = X27 ),
    c_0_189 ).

fof(c_0_428_429,plain,
    ! [X64,X40,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X64) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X64),X40) ),
    inference(fof_simplification,[status(thm)],[c_0_190]) ).

fof(c_0_429_430,plain,
    ! [X39,X40,X3] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X39) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X39),X40) ),
    inference(fof_simplification,[status(thm)],[c_0_191]) ).

fof(c_0_430_431,plain,
    ! [X41,X28,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X28),X41) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X41),X28) ),
    inference(fof_simplification,[status(thm)],[c_0_192]) ).

fof(c_0_431_432,plain,
    ! [X10,X8,X9] :
      ( hAPP(X8,X10) = X9
      | ~ c_Type_Otyping(X8,c_Lambda_OdB_OVar(X10),X9) ),
    inference(fof_simplification,[status(thm)],[c_0_193]) ).

fof(c_0_432_433,axiom,
    ! [X46,X47] :
      ( c_HOL_Oord__class_Oless(X46,X47,tc_nat)
      | c_HOL_Oord__class_Oless(X47,X46,tc_nat)
      | X47 = X46 ),
    c_0_194 ).

fof(c_0_433_434,axiom,
    ! [X41,X28] :
      ( c_HOL_Oord__class_Oless(X41,X28,tc_nat)
      | c_HOL_Oord__class_Oless(X28,X41,tc_nat)
      | X28 = X41 ),
    c_0_195 ).

fof(c_0_434_435,plain,
    ! [X60,X10] :
      ( c_Lambda_Olift(c_Lambda_OdB_OVar(X10),X60) = c_Lambda_OdB_OVar(X10)
      | ~ c_HOL_Oord__class_Oless(X10,X60,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_196]) ).

fof(c_0_435_436,plain,
    ! [X28,X40,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | ~ class_Int_Onumber__ring(X3)
      | X28 != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X28),X40)
      | X40 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_197]) ).

fof(c_0_436_437,axiom,
    ! [X43,X46,X3] :
      ( c_List_Otake(X46,X43,X3) != c_List_Olist_ONil(X3)
      | X43 = c_List_Olist_ONil(X3)
      | X46 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    c_0_198 ).

fof(c_0_437_438,plain,
    ! [X40,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),X40) != c_HOL_Ozero__class_Ozero(X3)
      | X40 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_199]) ).

fof(c_0_438_439,axiom,
    ! [X43,X3] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(X43,tc_List_Olist(X3)),tc_nat)
      | X43 = c_List_Olist_ONil(X3) ),
    c_0_200 ).

fof(c_0_439_440,plain,
    ! [X9,X18] :
      ( hBOOL(hAPP(X18,X9))
      | ~ hBOOL(hAPP(X18,c_Type_Osko__Type__Xtype__induct__1__1(X18))) ),
    inference(fof_simplification,[status(thm)],[c_0_201]) ).

fof(c_0_440_441,axiom,
    ! [X42,X43,X3] :
      ( c_List_Olist_ONil(X3) != c_List_Oappend(X43,X42,X3)
      | X43 = c_List_Olist_ONil(X3) ),
    c_0_202 ).

fof(c_0_441_442,axiom,
    ! [X42,X43,X3] :
      ( c_List_Olist_ONil(X3) != c_List_Oappend(X43,X42,X3)
      | X42 = c_List_Olist_ONil(X3) ),
    c_0_203 ).

fof(c_0_442_443,axiom,
    ! [X42,X43,X3] :
      ( c_List_Oappend(X43,X42,X3) != c_List_Olist_ONil(X3)
      | X43 = c_List_Olist_ONil(X3) ),
    c_0_204 ).

fof(c_0_443_444,axiom,
    ! [X42,X43,X3] :
      ( c_List_Oappend(X43,X42,X3) != c_List_Olist_ONil(X3)
      | X42 = c_List_Olist_ONil(X3) ),
    c_0_205 ).

fof(c_0_444_445,axiom,
    ! [X28,X46,X3] :
      ( c_List_Oreplicate(X46,X28,X3) != c_List_Olist_ONil(X3)
      | X46 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    c_0_206 ).

fof(c_0_445_446,axiom,
    ! [X28,X46,X3] :
      ( c_List_Olist_ONil(X3) != c_List_Oreplicate(X46,X28,X3)
      | X46 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    c_0_207 ).

fof(c_0_446_447,plain,
    ! [X28,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | ~ c_HOL_Oord__class_Oless(X28,X28,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_208]) ).

fof(c_0_447_448,plain,
    ! [X28,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ c_HOL_Oord__class_Oless(X28,X28,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_209]) ).

fof(c_0_448_449,plain,
    ! [X28,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | ~ c_HOL_Oord__class_Oless(X28,X28,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_210]) ).

fof(c_0_449_450,axiom,
    ! [X42,X43,X3] :
      ( c_List_Oappend(X43,X42,X3) != X43
      | X42 = c_List_Olist_ONil(X3) ),
    c_0_211 ).

fof(c_0_450_451,axiom,
    ! [X42,X43,X3] :
      ( X43 != c_List_Oappend(X43,X42,X3)
      | X42 = c_List_Olist_ONil(X3) ),
    c_0_212 ).

fof(c_0_451_452,axiom,
    ! [X42,X43,X3] :
      ( c_List_Oappend(X43,X42,X3) != X42
      | X43 = c_List_Olist_ONil(X3) ),
    c_0_213 ).

fof(c_0_452_453,axiom,
    ! [X42,X43,X3] :
      ( X42 != c_List_Oappend(X43,X42,X3)
      | X43 = c_List_Olist_ONil(X3) ),
    c_0_214 ).

fof(c_0_453_454,plain,
    ! [X54] :
      ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(X54)))
      | ~ hBOOL(hAPP(c_InductTermi_OIT,X54)) ),
    inference(fof_simplification,[status(thm)],[c_0_215]) ).

fof(c_0_454_455,plain,
    ! [X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),c_HOL_Ozero__class_Ozero(X3)),c_HOL_Ozero__class_Ozero(X3)) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_216]) ).

fof(c_0_455_456,plain,
    ! [X28,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | ~ class_Int_Onumber__ring(X3)
      | X28 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X28),c_HOL_Ozero__class_Ozero(X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_217]) ).

fof(c_0_456_457,plain,
    ! [X28,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),c_HOL_Ozero__class_Ozero(X3)),X28) = X28 ),
    inference(fof_simplification,[status(thm)],[c_0_218]) ).

fof(c_0_457_458,plain,
    ! [X40,X3] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),c_HOL_Ozero__class_Ozero(X3)),X40) = X40 ),
    inference(fof_simplification,[status(thm)],[c_0_219]) ).

fof(c_0_458_459,plain,
    ! [X40,X3] :
      ( ~ class_OrderedGroup_Omonoid__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),c_HOL_Ozero__class_Ozero(X3)),X40) = X40 ),
    inference(fof_simplification,[status(thm)],[c_0_220]) ).

fof(c_0_459_460,plain,
    ! [X40,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),c_HOL_Ozero__class_Ozero(X3)),X40) = X40 ),
    inference(fof_simplification,[status(thm)],[c_0_221]) ).

fof(c_0_460_461,plain,
    ! [X40,X3] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),c_HOL_Ozero__class_Ozero(X3)) = X40 ),
    inference(fof_simplification,[status(thm)],[c_0_222]) ).

fof(c_0_461_462,plain,
    ! [X40,X3] :
      ( ~ class_OrderedGroup_Omonoid__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),c_HOL_Ozero__class_Ozero(X3)) = X40 ),
    inference(fof_simplification,[status(thm)],[c_0_223]) ).

fof(c_0_462_463,plain,
    ! [X40,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X40),c_HOL_Ozero__class_Ozero(X3)) = X40 ),
    inference(fof_simplification,[status(thm)],[c_0_224]) ).

fof(c_0_463_464,axiom,
    ! [X46] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X46,tc_nat)
      | X46 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    c_0_225 ).

fof(c_0_464_465,plain,
    ! [X46,X47,X3] :
      ( ~ class_Nat_Osemiring__char__0(X3)
      | c_Nat_Osemiring__1__class_Oof__nat(X47,X3) != c_Nat_Osemiring__1__class_Oof__nat(X46,X3)
      | X47 = X46 ),
    inference(fof_simplification,[status(thm)],[c_0_226]) ).

fof(c_0_465_466,axiom,
    ! [X42,X43,X3] :
      ( c_List_Orev(X43,X3) != c_List_Orev(X42,X3)
      | X43 = X42 ),
    c_0_227 ).

fof(c_0_466_467,axiom,
    ! [X43,X3] :
      ( c_Nat_Osize__class_Osize(X43,tc_List_Olist(X3)) != c_HOL_Ozero__class_Ozero(tc_nat)
      | X43 = c_List_Olist_ONil(X3) ),
    c_0_228 ).

fof(c_0_467_468,plain,
    ! [X4,X5] :
      ( class_Orderings_Opreorder(tc_fun(X4,X5))
      | ~ class_Orderings_Opreorder(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_229]) ).

fof(c_0_468_469,plain,
    ! [X4,X5] :
      ( class_Orderings_Oorder(tc_fun(X4,X5))
      | ~ class_Orderings_Oorder(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_230]) ).

fof(c_0_469_470,axiom,
    ! [X43,X3] :
      ( c_List_Orev(X43,X3) != c_List_Olist_ONil(X3)
      | X43 = c_List_Olist_ONil(X3) ),
    c_0_231 ).

fof(c_0_470_471,axiom,
    ! [X43,X3] :
      ( c_List_Orotate1(X43,X3) != c_List_Olist_ONil(X3)
      | X43 = c_List_Olist_ONil(X3) ),
    c_0_232 ).

fof(c_0_471_472,axiom,
    ! [X43,X3] :
      ( c_List_Olist_ONil(X3) != c_List_Orev(X43,X3)
      | X43 = c_List_Olist_ONil(X3) ),
    c_0_233 ).

fof(c_0_472_473,plain,
    ! [X3] :
      ( ~ class_Ring__and__Field_Osemiring__1(X3)
      | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_234]) ).

fof(c_0_473_474,axiom,
    ! [X38,X35] :
      ( c_Type_Otype_OAtom(X35) != c_Type_Otype_OAtom(X38)
      | X35 = X38 ),
    c_0_235 ).

fof(c_0_474_475,axiom,
    ! [X58,X55] :
      ( c_Lambda_OdB_OAbs(X55) != c_Lambda_OdB_OAbs(X58)
      | X55 = X58 ),
    c_0_236 ).

fof(c_0_475_476,axiom,
    ! [X38,X35] :
      ( c_Lambda_OdB_OVar(X35) != c_Lambda_OdB_OVar(X38)
      | X35 = X38 ),
    c_0_237 ).

fof(c_0_476_477,plain,
    ! [X32,X33,X34,X35,X36,X37,X38] :
      ( X36 = c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__types__1__1(X38,X36,X35,X32),X38,tc_Type_Otype,tc_Type_Otype)
      | ~ c_Type_Otyping(X35,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X34),X33,tc_Lambda_OdB,tc_Lambda_OdB),X36)
      | ~ c_Type_Otypings(X35,X33,X37)
      | ~ c_Type_Otyping(X35,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X34),X33,tc_Lambda_OdB,tc_Lambda_OdB),X32,tc_Lambda_OdB,tc_Lambda_OdB),X38) ),
    inference(variable_rename,[status(thm)],[c_0_238]) ).

fof(c_0_477_478,plain,
    ! [X63,X64,X65] :
      ( X63 = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X65),c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X65,X64,X63),tc_Lambda_OdB,tc_Lambda_OdB)
      | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X65),X64,tc_Lambda_OdB,tc_Lambda_OdB)),X63)) ),
    inference(variable_rename,[status(thm)],[c_0_239]) ).

fof(c_0_478_479,plain,
    ! [X32,X33,X34,X35,X36,X37,X38] :
      ( c_Type_Otypings(X35,X32,c_Type_Osko__Type__Xvar__app__types__1__1(X38,X36,X35,X32))
      | ~ c_Type_Otyping(X35,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X34),X33,tc_Lambda_OdB,tc_Lambda_OdB),X36)
      | ~ c_Type_Otypings(X35,X33,X37)
      | ~ c_Type_Otyping(X35,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X34),X33,tc_Lambda_OdB,tc_Lambda_OdB),X32,tc_Lambda_OdB,tc_Lambda_OdB),X38) ),
    inference(variable_rename,[status(thm)],[c_0_240]) ).

fof(c_0_479_480,plain,
    ! [X63,X64,X65] :
      ( c_ListOrder_Ostep1(c_Lambda_Obeta,X64,c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X65,X64,X63),tc_Lambda_OdB)
      | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X65),X64,tc_Lambda_OdB,tc_Lambda_OdB)),X63)) ),
    inference(variable_rename,[status(thm)],[c_0_241]) ).

fof(c_0_480_481,plain,
    ! [X55,X56,X57] :
      ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X57,X56,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X57,X55,tc_Lambda_OdB,tc_Lambda_OdB)))
      | ~ c_ListOrder_Ostep1(c_Lambda_Obeta,X56,X55,tc_Lambda_OdB) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_242])])]) ).

fof(c_0_481_482,plain,
    ! [X55,X56,X57] :
      ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,X57,X55,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X56,X55,tc_Lambda_OdB,tc_Lambda_OdB)))
      | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X57),X56)) ),
    inference(variable_rename,[status(thm)],[c_0_243]) ).

fof(c_0_482_483,plain,
    ! [X55,X56,X57] :
      ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X57,X55,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X56,X55,tc_Lambda_OdB,tc_Lambda_OdB)))
      | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X57),X56)) ),
    inference(variable_rename,[status(thm)],[c_0_244]) ).

fof(c_0_483_484,plain,
    ! [X55,X56,X57] :
      ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X57)),X56),X55,tc_Lambda_OdB,tc_Lambda_OdB)))
      | ~ hBOOL(hAPP(c_InductTermi_OIT,X56))
      | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(X57,X56,c_HOL_Ozero__class_Ozero(tc_nat)),X55,tc_Lambda_OdB,tc_Lambda_OdB))) ),
    inference(variable_rename,[status(thm)],[c_0_245]) ).

fof(c_0_484_485,plain,
    ! [X22] :
      ( v_thesis____
      | ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,X22)
      | ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),hAPP(hAPP(c_Type_Otype_OFun,X22),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_246])])]) ).

fof(c_0_485_486,plain,
    ! [X54,X55,X56,X57,X58,X59] :
      ( ~ hBOOL(hAPP(X59,c_Lambda_OdB_OdB__case(X56,X55,X54,hAPP(hAPP(c_Lambda_OdB_OApp,X58),X57),t_a)))
      | hBOOL(hAPP(X59,hAPP(hAPP(X55,X58),X57))) ),
    inference(variable_rename,[status(thm)],[c_0_247]) ).

fof(c_0_486_487,plain,
    ! [X52,X53,X54,X55,X56,X57] :
      ( ~ hBOOL(hAPP(X57,c_Lambda_OdB_OdB__case(X56,X55,X54,hAPP(hAPP(c_Lambda_OdB_OApp,X53),X52),t_a)))
      | hBOOL(hAPP(X57,hAPP(hAPP(X55,X53),X52))) ),
    inference(variable_rename,[status(thm)],[c_0_248]) ).

fof(c_0_487_488,plain,
    ! [X14,X15,X16,X17,X18] :
      ( X18 = X17
      | ~ c_Type_Otyping(X16,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X15),X14,tc_Lambda_OdB,tc_Lambda_OdB),X17)
      | ~ c_Type_Otyping(X16,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X15),X14,tc_Lambda_OdB,tc_Lambda_OdB),X18) ),
    inference(variable_rename,[status(thm)],[c_0_249]) ).

fof(c_0_488_489,plain,
    ! [X56,X57,X58,X59,X60] :
      ( ~ hBOOL(hAPP(X60,c_Lambda_OdB_OdB__case(X58,X57,X56,c_Lambda_OdB_OAbs(X59),t_a)))
      | hBOOL(hAPP(X60,hAPP(X56,X59))) ),
    inference(variable_rename,[status(thm)],[c_0_250]) ).

fof(c_0_489_490,plain,
    ! [X37,X38,X39,X40,X41] :
      ( ~ hBOOL(hAPP(X41,c_Lambda_OdB_OdB__case(X40,X39,X38,c_Lambda_OdB_OAbs(X37),t_a)))
      | hBOOL(hAPP(X41,hAPP(X38,X37))) ),
    inference(variable_rename,[status(thm)],[c_0_251]) ).

fof(c_0_490_491,plain,
    ! [X38,X39,X40,X41,X42] :
      ( ~ hBOOL(hAPP(X42,c_Lambda_OdB_OdB__case(X41,X40,X39,c_Lambda_OdB_OVar(X38),t_a)))
      | hBOOL(hAPP(X42,hAPP(X41,X38))) ),
    inference(variable_rename,[status(thm)],[c_0_252]) ).

fof(c_0_491_492,plain,
    ! [X37,X38,X39,X40,X41] :
      ( ~ hBOOL(hAPP(X41,c_Lambda_OdB_OdB__case(X40,X39,X38,c_Lambda_OdB_OVar(X37),t_a)))
      | hBOOL(hAPP(X41,hAPP(X40,X37))) ),
    inference(variable_rename,[status(thm)],[c_0_253]) ).

fof(c_0_492_493,plain,
    ! [X55,X56,X57] :
      ( ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(X57,X56,c_HOL_Ozero__class_Ozero(tc_nat)),X55,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)
      | ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),X56,tc_Lambda_OdB)
      | c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X57)),X56),X55,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB) ),
    inference(variable_rename,[status(thm)],[c_0_254]) ).

fof(c_0_493_494,plain,
    ! [X14,X15,X16,X17] :
      ( c_Type_Otyping(X16,c_Lambda_OdB_OVar(X15),c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__typesE__1__1(X17,X16,X15,X14),X17,tc_Type_Otype,tc_Type_Otype))
      | ~ c_Type_Otyping(X16,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X15),X14,tc_Lambda_OdB,tc_Lambda_OdB),X17) ),
    inference(variable_rename,[status(thm)],[c_0_255]) ).

fof(c_0_494_495,plain,
    ! [X14,X15,X16,X17] :
      ( c_Type_Otyping(X16,X15,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeE__1__1(X17,X16,X15,X14),X17,tc_Type_Otype,tc_Type_Otype))
      | ~ c_Type_Otyping(X16,c_List_Ofoldl(c_Lambda_OdB_OApp,X15,X14,tc_Lambda_OdB,tc_Lambda_OdB),X17) ),
    inference(variable_rename,[status(thm)],[c_0_256]) ).

fof(c_0_495_496,plain,
    ! [X14,X15,X16,X17] :
      ( c_Type_Otyping(X16,X15,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeD__1__1(X17,X16,X15,X14),X17,tc_Type_Otype,tc_Type_Otype))
      | ~ c_Type_Otyping(X16,c_List_Ofoldl(c_Lambda_OdB_OApp,X15,X14,tc_Lambda_OdB,tc_Lambda_OdB),X17) ),
    inference(variable_rename,[status(thm)],[c_0_257]) ).

fof(c_0_496_497,plain,
    ! [X23,X24,X25,X26,X27] :
      ( c_Type_Otyping(X25,c_List_Ofoldl(c_Lambda_OdB_OApp,X24,X23,tc_Lambda_OdB,tc_Lambda_OdB),X27)
      | ~ c_Type_Otypings(X25,X23,X26)
      | ~ c_Type_Otyping(X25,X24,c_List_Ofoldr(c_Type_Otype_OFun,X26,X27,tc_Type_Otype,tc_Type_Otype)) ),
    inference(variable_rename,[status(thm)],[c_0_258]) ).

fof(c_0_497_498,plain,
    ! [X47,X48] :
      ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X48),X47,tc_Lambda_OdB,tc_Lambda_OdB)))
      | ~ c_List_Olistsp(c_InductTermi_OIT,X47,tc_Lambda_OdB) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_259])])]) ).

fof(c_0_498_499,plain,
    ! [X14,X15,X16,X17] :
      ( c_Type_Otypings(X16,X14,c_Type_Osko__Type__Xvar__app__typesE__1__1(X17,X16,X15,X14))
      | ~ c_Type_Otyping(X16,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X15),X14,tc_Lambda_OdB,tc_Lambda_OdB),X17) ),
    inference(variable_rename,[status(thm)],[c_0_260]) ).

fof(c_0_499_500,plain,
    ! [X14,X15,X16,X17] :
      ( c_Type_Otypings(X16,X14,c_Type_Osko__Type__Xlist__app__typeE__1__1(X17,X16,X15,X14))
      | ~ c_Type_Otyping(X16,c_List_Ofoldl(c_Lambda_OdB_OApp,X15,X14,tc_Lambda_OdB,tc_Lambda_OdB),X17) ),
    inference(variable_rename,[status(thm)],[c_0_261]) ).

fof(c_0_500_501,plain,
    ! [X14,X15,X16,X17] :
      ( c_Type_Otypings(X16,X14,c_Type_Osko__Type__Xlist__app__typeD__1__1(X17,X16,X15,X14))
      | ~ c_Type_Otyping(X16,c_List_Ofoldl(c_Lambda_OdB_OApp,X15,X14,tc_Lambda_OdB,tc_Lambda_OdB),X17) ),
    inference(variable_rename,[status(thm)],[c_0_262]) ).

fof(c_0_501_502,plain,
    ! [X55,X56,X57,X58] :
      ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X58),X57,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X56),X55,tc_Lambda_OdB,tc_Lambda_OdB)
      | X57 = X55 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_263])])]) ).

fof(c_0_502_503,plain,
    ! [X55,X56,X57,X58] :
      ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X58),X57,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X56),X55,tc_Lambda_OdB,tc_Lambda_OdB)
      | X58 = X56 ),
    inference(variable_rename,[status(thm)],[c_0_264]) ).

fof(c_0_503_504,plain,
    ! [X48,X49,X50,X51] :
      ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X51),X49,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X50),X48,tc_Lambda_OdB,tc_Lambda_OdB)
      | X49 = X48 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_265])])]) ).

fof(c_0_504_505,plain,
    ! [X48,X49,X50,X51] :
      ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X51),X49,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X50),X48,tc_Lambda_OdB,tc_Lambda_OdB)
      | X51 = X50 ),
    inference(variable_rename,[status(thm)],[c_0_266]) ).

fof(c_0_505_506,plain,
    ! [X60,X61,X62,X63] :
      ( ~ class_OrderedGroup_Osemigroup__add(X63)
      | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X63),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X63),X62),X61),X60,X63,X63) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X63),X62),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X63),X61,X60,X63,X63)) ),
    inference(variable_rename,[status(thm)],[c_0_267]) ).

fof(c_0_506_507,plain,
    ! [X55,X56,X57] :
      ( c_List_Ofoldl(c_Lambda_OdB_OApp,X57,X55,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,X56,X55,tc_Lambda_OdB,tc_Lambda_OdB)
      | X57 = X56 ),
    inference(variable_rename,[status(thm)],[c_0_268]) ).

fof(c_0_507_508,plain,
    ! [X60,X61,X62] :
      ( ~ class_OrderedGroup_Omonoid__add(X62)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X62),X61),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X62),c_HOL_Ozero__class_Ozero(X62),X60,X62,X62)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X62),X61,X60,X62,X62) ),
    inference(variable_rename,[status(thm)],[c_0_269]) ).

fof(c_0_508_509,plain,
    ! [X44,X45,X46] :
      ( ~ class_OrderedGroup_Omonoid__add(X46)
      | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X46),X45,X44,X46,X46) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X46),X45),c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X46),X44,c_HOL_Ozero__class_Ozero(X46),X46,X46)) ),
    inference(variable_rename,[status(thm)],[c_0_270]) ).

fof(c_0_509_510,plain,
    ! [X60,X61,X62,X63,X64] :
      ( c_List_Oappend(X61,X60,X64) != c_List_Olist_OCons(X63,X62,X64)
      | c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X63,X62,X61,X60,X64),X60,X64) = X62
      | X60 = c_List_Olist_OCons(X63,X62,X64) ),
    inference(variable_rename,[status(thm)],[c_0_271]) ).

fof(c_0_510_511,plain,
    ! [X60,X61,X62,X63,X64] :
      ( c_List_Olist_OCons(X63,X62,X64) != c_List_Oappend(X61,X60,X64)
      | c_List_Olist_OCons(X63,c_List_Osko__List__XCons__eq__append__conv__1__1(X63,X62,X61,X60,X64),X64) = X61
      | c_List_Olist_OCons(X63,X62,X64) = X60 ),
    inference(variable_rename,[status(thm)],[c_0_272]) ).

fof(c_0_511_512,plain,
    ! [X60,X61,X62,X63,X64] :
      ( c_List_Oappend(X61,X60,X64) != c_List_Olist_OCons(X63,X62,X64)
      | X61 = c_List_Olist_OCons(X63,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X63,X62,X61,X60,X64),X64)
      | X60 = c_List_Olist_OCons(X63,X62,X64) ),
    inference(variable_rename,[status(thm)],[c_0_273]) ).

fof(c_0_512_513,plain,
    ! [X60,X61,X62,X63,X64] :
      ( c_List_Olist_OCons(X63,X62,X64) != c_List_Oappend(X61,X60,X64)
      | X62 = c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(X63,X62,X61,X60,X64),X60,X64)
      | c_List_Olist_OCons(X63,X62,X64) = X60 ),
    inference(variable_rename,[status(thm)],[c_0_274]) ).

fof(c_0_513_514,plain,
    ! [X60,X61,X62,X63,X64] :
      ( c_List_Olist_OCons(X63,X62,X64) != c_List_Oappend(X61,X60,X64)
      | X62 = c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(X63,X62,X61,X60,X64),X60,X64)
      | X61 = c_List_Olist_ONil(X64) ),
    inference(variable_rename,[status(thm)],[c_0_275]) ).

fof(c_0_514_515,plain,
    ! [X60,X61,X62,X63,X64] :
      ( c_List_Oappend(X61,X60,X64) != c_List_Olist_OCons(X63,X62,X64)
      | X61 = c_List_Olist_OCons(X63,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X63,X62,X61,X60,X64),X64)
      | X61 = c_List_Olist_ONil(X64) ),
    inference(variable_rename,[status(thm)],[c_0_276]) ).

fof(c_0_515_516,plain,
    ! [X60,X61,X62,X63,X64] :
      ( c_List_Oappend(X61,X60,X64) != c_List_Olist_OCons(X63,X62,X64)
      | c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X63,X62,X61,X60,X64),X60,X64) = X62
      | X61 = c_List_Olist_ONil(X64) ),
    inference(variable_rename,[status(thm)],[c_0_277]) ).

fof(c_0_516_517,plain,
    ! [X60,X61,X62,X63,X64] :
      ( c_List_Olist_OCons(X63,X62,X64) != c_List_Oappend(X61,X60,X64)
      | c_List_Olist_OCons(X63,c_List_Osko__List__XCons__eq__append__conv__1__1(X63,X62,X61,X60,X64),X64) = X61
      | X61 = c_List_Olist_ONil(X64) ),
    inference(variable_rename,[status(thm)],[c_0_278]) ).

fof(c_0_517_518,plain,
    ! [X44,X45] :
      ( ~ class_OrderedGroup_Omonoid__add(X45)
      | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X45),c_HOL_Ozero__class_Ozero(X45),X44,X45,X45) = c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X45),X44,c_HOL_Ozero__class_Ozero(X45),X45,X45) ),
    inference(variable_rename,[status(thm)],[c_0_279]) ).

fof(c_0_518_519,plain,
    ! [X44,X45,X46] :
      ( ~ class_OrderedGroup_Oab__semigroup__add(X46)
      | c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X46),X44,X45,X46,X46) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X46),X45,X44,X46,X46) ),
    inference(variable_rename,[status(thm)],[c_0_280]) ).

fof(c_0_519_520,plain,
    ! [X10,X11,X12,X13] :
      ( c_Type_Otyping(X12,X11,hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(X13,X12,X11,X10)),X13))
      | ~ c_Type_Otyping(X12,hAPP(hAPP(c_Lambda_OdB_OApp,X11),X10),X13) ),
    inference(variable_rename,[status(thm)],[c_0_281]) ).

fof(c_0_520_521,plain,
    ! [X21,X22,X23,X24,X25] :
      ( ~ hBOOL(hAPP(X25,c_Type_Otype_Otype__case(X24,X23,hAPP(hAPP(c_Type_Otype_OFun,X22),X21),t_a)))
      | hBOOL(hAPP(X25,hAPP(hAPP(X23,X22),X21))) ),
    inference(variable_rename,[status(thm)],[c_0_282]) ).

fof(c_0_521_522,plain,
    ! [X19,X20,X21,X22,X23] :
      ( ~ hBOOL(hAPP(X23,c_Type_Otype_Otype__case(X22,X21,hAPP(hAPP(c_Type_Otype_OFun,X20),X19),t_a)))
      | hBOOL(hAPP(X23,hAPP(hAPP(X21,X20),X19))) ),
    inference(variable_rename,[status(thm)],[c_0_283]) ).

fof(c_0_522_523,plain,
    ! [X55,X56,X57] :
      ( hAPP(hAPP(c_Lambda_OdB_OApp,X57),X56) != c_List_Ofoldl(c_Lambda_OdB_OApp,X55,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)
      | hAPP(hAPP(c_Lambda_OdB_OApp,X57),X56) = X55 ),
    inference(variable_rename,[status(thm)],[c_0_284]) ).

fof(c_0_523_524,plain,
    ! [X55,X56,X57] :
      ( c_Lambda_OdB_OAbs(X57) != c_List_Ofoldl(c_Lambda_OdB_OApp,X56,X55,tc_Lambda_OdB,tc_Lambda_OdB)
      | c_Lambda_OdB_OAbs(X57) = X56 ),
    inference(variable_rename,[status(thm)],[c_0_285]) ).

fof(c_0_524_525,plain,
    ! [X48,X49,X50] :
      ( c_Lambda_OdB_OVar(X50) != c_List_Ofoldl(c_Lambda_OdB_OApp,X49,X48,tc_Lambda_OdB,tc_Lambda_OdB)
      | c_Lambda_OdB_OVar(X50) = X49 ),
    inference(variable_rename,[status(thm)],[c_0_286]) ).

fof(c_0_525_526,plain,
    ! [X55,X56,X57] :
      ( c_List_Ofoldl(c_Lambda_OdB_OApp,X56,X55,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X57)
      | X56 = c_Lambda_OdB_OAbs(X57) ),
    inference(variable_rename,[status(thm)],[c_0_287]) ).

fof(c_0_526_527,plain,
    ! [X48,X49,X50] :
      ( c_Lambda_OdB_OVar(X50) != c_List_Ofoldl(c_Lambda_OdB_OApp,X49,X48,tc_Lambda_OdB,tc_Lambda_OdB)
      | X48 = c_List_Olist_ONil(tc_Lambda_OdB) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_288])])]) ).

fof(c_0_527_528,plain,
    ! [X55,X56,X57] :
      ( c_Lambda_OdB_OAbs(X57) != c_List_Ofoldl(c_Lambda_OdB_OApp,X56,X55,tc_Lambda_OdB,tc_Lambda_OdB)
      | X55 = c_List_Olist_ONil(tc_Lambda_OdB) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_289])])]) ).

fof(c_0_528_529,plain,
    ! [X55,X56,X57] :
      ( c_List_Ofoldl(c_Lambda_OdB_OApp,X56,X55,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X57)
      | X55 = c_List_Olist_ONil(tc_Lambda_OdB) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_290])])]) ).

fof(c_0_529_530,plain,
    ! [X55,X56,X57,X58] :
      ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X57,X58),X55),X56))
      | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(X57,X58,X58),X58),X56),X55)) ),
    inference(variable_rename,[status(thm)],[c_0_291]) ).

fof(c_0_530_531,plain,
    ! [X55,X56,X57,X58,X59,X60] :
      ( hBOOL(hAPP(hAPP(X59,X56),X58))
      | c_ListOrder_Ostep1(X59,X55,X57,X60)
      | ~ c_ListOrder_Ostep1(X59,c_List_Oappend(X55,c_List_Olist_OCons(X56,c_List_Olist_ONil(X60),X60),X60),c_List_Oappend(X57,c_List_Olist_OCons(X58,c_List_Olist_ONil(X60),X60),X60),X60) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_292])])]) ).

fof(c_0_531_532,plain,
    ! [X55,X56,X57,X58,X59,X60] :
      ( X55 = X57
      | c_ListOrder_Ostep1(X59,X55,X57,X60)
      | ~ c_ListOrder_Ostep1(X59,c_List_Oappend(X55,c_List_Olist_OCons(X56,c_List_Olist_ONil(X60),X60),X60),c_List_Oappend(X57,c_List_Olist_OCons(X58,c_List_Olist_ONil(X60),X60),X60),X60) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_293])])]) ).

fof(c_0_532_533,plain,
    ! [X36,X37,X38,X39] :
      ( ~ hBOOL(hAPP(X39,c_Type_Otype_Otype__case(X38,X37,c_Type_Otype_OAtom(X36),t_a)))
      | hBOOL(hAPP(X39,hAPP(X38,X36))) ),
    inference(variable_rename,[status(thm)],[c_0_294]) ).

fof(c_0_533_534,plain,
    ! [X52,X53,X54,X55] :
      ( ~ hBOOL(hAPP(X55,c_Type_Otype_Otype__case(X54,X53,c_Type_Otype_OAtom(X52),t_a)))
      | hBOOL(hAPP(X55,hAPP(X54,X52))) ),
    inference(variable_rename,[status(thm)],[c_0_295]) ).

fof(c_0_534_535,plain,
    ! [X55,X56,X57,X58,X59,X60] :
      ( hBOOL(hAPP(hAPP(X59,X56),X58))
      | X56 = X58
      | ~ c_ListOrder_Ostep1(X59,c_List_Oappend(X55,c_List_Olist_OCons(X56,c_List_Olist_ONil(X60),X60),X60),c_List_Oappend(X57,c_List_Olist_OCons(X58,c_List_Olist_ONil(X60),X60),X60),X60) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_296])])]) ).

fof(c_0_535_536,plain,
    ! [X55,X56,X57,X58,X59,X60] :
      ( X55 = X57
      | X56 = X58
      | ~ c_ListOrder_Ostep1(X59,c_List_Oappend(X55,c_List_Olist_OCons(X56,c_List_Olist_ONil(X60),X60),X60),c_List_Oappend(X57,c_List_Olist_OCons(X58,c_List_Olist_ONil(X60),X60),X60),X60) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_297])])]) ).

fof(c_0_536_537,plain,
    ! [X55,X56,X57,X58] :
      ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(X57,X58,X58),X58),X56),X55))
      | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X57,X58),X55),X56)) ),
    inference(variable_rename,[status(thm)],[c_0_298]) ).

fof(c_0_537_538,plain,
    ! [X27,X28,X29,X30,X31,X32,X33] :
      ( v_T____ != hAPP(hAPP(c_Type_Otype_OFun,X33),X32)
      | hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X28,X27,X29)))
      | ~ c_Type_Otyping(X30,X27,X32)
      | ~ hBOOL(hAPP(c_InductTermi_OIT,X27))
      | ~ c_Type_Otyping(c_Type_Oshift(X30,X29,X32,tc_Type_Otype),X28,X31)
      | ~ hBOOL(hAPP(c_InductTermi_OIT,X28)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_299])])]) ).

fof(c_0_538_539,plain,
    ! [X27,X28,X29,X30,X31,X32,X33] :
      ( v_T____ != hAPP(hAPP(c_Type_Otype_OFun,X33),X32)
      | hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X28,X27,X29)))
      | ~ c_Type_Otyping(X30,X27,X33)
      | ~ hBOOL(hAPP(c_InductTermi_OIT,X27))
      | ~ c_Type_Otyping(c_Type_Oshift(X30,X29,X33,tc_Type_Otype),X28,X31)
      | ~ hBOOL(hAPP(c_InductTermi_OIT,X28)) ),
    inference(variable_rename,[status(thm)],[c_0_300]) ).

fof(c_0_539_540,plain,
    ! [X13,X14,X15,X16,X17,X18] :
      ( ~ c_Type_Otyping(X16,X13,X17)
      | ~ c_Type_Otyping(c_Type_Oshift(X16,X15,X17,tc_Type_Otype),X14,X18)
      | c_Type_Otyping(X16,c_Lambda_Osubst(X14,X13,X15),X18) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_301])])]) ).

fof(c_0_540_541,plain,
    ! [X64,X65,X66,X67] :
      ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,X67),X65)),hAPP(hAPP(c_Lambda_OdB_OApp,X66),X64)))
      | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X65),X64))
      | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X67),X66)) ),
    inference(variable_rename,[status(thm)],[c_0_302]) ).

fof(c_0_541_542,plain,
    ! [X55,X56,X57,X58] :
      ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(X57,X55,X58)),c_Lambda_Osubst(X56,X55,X58)))
      | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X57),X56)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_303])])]) ).

fof(c_0_542_543,plain,
    ! [X55,X56,X57,X58] :
      ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(X55,X57,X58)),c_Lambda_Osubst(X55,X56,X58)))
      | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X57),X56)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_304])])]) ).

fof(c_0_543_544,plain,
    ! [X55,X56,X57,X58,X59,X60] :
      ( c_ListOrder_Ostep1(X59,X55,X57,X60)
      | hBOOL(hAPP(hAPP(X59,X56),X58))
      | ~ c_ListOrder_Ostep1(X59,c_List_Olist_OCons(X56,X55,X60),c_List_Olist_OCons(X58,X57,X60),X60) ),
    inference(variable_rename,[status(thm)],[c_0_305]) ).

fof(c_0_544_545,plain,
    ! [X24,X25,X26,X27] :
      ( c_Type_Otyping(X25,c_Lambda_OdB_OAbs(X24),hAPP(hAPP(c_Type_Otype_OFun,X27),X26))
      | ~ c_Type_Otyping(c_Type_Oshift(X25,c_HOL_Ozero__class_Ozero(tc_nat),X27,tc_Type_Otype),X24,X26) ),
    inference(variable_rename,[status(thm)],[c_0_306]) ).

fof(c_0_545_546,plain,
    ! [X55,X56,X57,X58,X59,X60] :
      ( c_ListOrder_Ostep1(X59,X55,X57,X60)
      | X57 = X55
      | ~ c_ListOrder_Ostep1(X59,c_List_Olist_OCons(X56,X55,X60),c_List_Olist_OCons(X58,X57,X60),X60) ),
    inference(variable_rename,[status(thm)],[c_0_307]) ).

fof(c_0_546_547,plain,
    ! [X10,X11,X12] :
      ( c_Type_Otyping(c_Type_Oshift(X11,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Osko__Type__Xtyping__elims__3__1(X12,X11,X10),tc_Type_Otype),X10,c_Type_Osko__Type__Xtyping__elims__3__2(X12,X11,X10))
      | ~ c_Type_Otyping(X11,c_Lambda_OdB_OAbs(X10),X12) ),
    inference(variable_rename,[status(thm)],[c_0_308]) ).

fof(c_0_547_548,plain,
    ! [X55,X56,X57,X58] :
      ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(X55,X57,X58)),c_Lambda_Osubst(X55,X56,X58)))
      | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X57),X56)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_309])])]) ).

fof(c_0_548_549,plain,
    ! [X70,X71,X72,X73,X74] :
      ( hBOOL(hAPP(hAPP(X70,X71),X72))
      | ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X70,X74,X73),X72),X71)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_310])])]) ).

fof(c_0_549_550,plain,
    ! [X68,X69,X70,X71,X72] :
      ( hBOOL(hAPP(hAPP(X68,X69),X70))
      | ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X68,X72,X71),X70),X69)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_311])])]) ).

fof(c_0_550_551,plain,
    ! [X71,X72,X73,X74,X75] :
      ( c_ListOrder_Ostep1(X74,c_List_Oappend(X71,X72,X75),c_List_Oappend(X71,X73,X75),X75)
      | ~ c_ListOrder_Ostep1(X74,X72,X73,X75) ),
    inference(variable_rename,[status(thm)],[c_0_312]) ).

fof(c_0_551_552,plain,
    ! [X55,X56,X57,X58,X59] :
      ( ~ c_ListOrder_Ostep1(X58,X55,X56,X59)
      | c_ListOrder_Ostep1(X58,c_List_Oappend(X55,X57,X59),c_List_Oappend(X56,X57,X59),X59) ),
    inference(variable_rename,[status(thm)],[c_0_313]) ).

fof(c_0_552_553,plain,
    ! [X55,X56,X57,X58,X59] :
      ( c_ListOrder_Ostep1(X58,c_List_Olist_OCons(X57,X55,X59),c_List_Olist_OCons(X57,X56,X59),X59)
      | ~ c_ListOrder_Ostep1(X58,X55,X56,X59) ),
    inference(variable_rename,[status(thm)],[c_0_314]) ).

fof(c_0_553_554,plain,
    ! [X64,X65,X66] :
      ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,X66),X64)),hAPP(hAPP(c_Lambda_OdB_OApp,X65),X64)))
      | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X66),X65)) ),
    inference(variable_rename,[status(thm)],[c_0_315]) ).

fof(c_0_554_555,plain,
    ! [X35,X36,X37] :
      ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,X37),X36)),hAPP(hAPP(c_Lambda_OdB_OApp,X37),X35)))
      | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X36),X35)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_316])])]) ).

fof(c_0_555_556,plain,
    ! [X55,X56,X57,X58] :
      ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Osubst(X57,X55,X58)),c_Lambda_Osubst(X56,X55,X58)))
      | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X57),X56)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_317])])]) ).

fof(c_0_556_557,plain,
    ! [X55,X56,X57,X58,X59,X60] :
      ( X58 = X56
      | hBOOL(hAPP(hAPP(X59,X56),X58))
      | ~ c_ListOrder_Ostep1(X59,c_List_Olist_OCons(X56,X55,X60),c_List_Olist_OCons(X58,X57,X60),X60) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_318])])]) ).

fof(c_0_557_558,plain,
    ! [X62,X63,X64,X65,X66] :
      ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X65,X66),X64),X62))
      | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X65,X66),X63),X62))
      | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X65,X66),X64),X63)) ),
    inference(variable_rename,[status(thm)],[c_0_319]) ).

fof(c_0_558_559,plain,
    ! [X10,X11,X12,X13] :
      ( c_Type_Otyping(X12,X10,c_Type_Osko__Type__Xtyping__elims__2__1(X13,X12,X11,X10))
      | ~ c_Type_Otyping(X12,hAPP(hAPP(c_Lambda_OdB_OApp,X11),X10),X13) ),
    inference(variable_rename,[status(thm)],[c_0_320]) ).

fof(c_0_559_560,plain,
    ! [X55,X56,X57,X58,X59,X60] :
      ( X58 = X56
      | X57 = X55
      | ~ c_ListOrder_Ostep1(X59,c_List_Olist_OCons(X56,X55,X60),c_List_Olist_OCons(X58,X57,X60),X60) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_321])])]) ).

fof(c_0_560_561,plain,
    ! [X67,X68,X69,X70,X71] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X71)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X71),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X71),X70),X69)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X71),X68),X67)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X71),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X71),X70),X68)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X71),X69),X67)) ),
    inference(variable_rename,[status(thm)],[c_0_322]) ).

fof(c_0_561_562,plain,
    ! [X13,X14,X15,X16,X17] :
      ( c_Type_Otyping(c_Type_Oshift(X15,X14,X16,tc_Type_Otype),c_Lambda_Olift(X13,X14),X17)
      | ~ c_Type_Otyping(X15,X13,X17) ),
    inference(variable_rename,[status(thm)],[c_0_323]) ).

fof(c_0_562_563,plain,
    ! [X68,X69,X70,X71,X72] :
      ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X68,X72,X71),X69),X70))
      | ~ hBOOL(hAPP(hAPP(X68,X70),X69)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_324])])]) ).

fof(c_0_563_564,plain,
    ! [X68,X69,X70,X71,X72] :
      ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X68,X72,X71),X70),X69))
      | ~ hBOOL(hAPP(hAPP(X68,X69),X70)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_325])])]) ).

fof(c_0_564_565,plain,
    ! [X28,X29,X30] :
      ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X28),X30)),hAPP(hAPP(c_Lambda_OdB_OApp,X28),X29)))
      | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X30),X29)) ),
    inference(variable_rename,[status(thm)],[c_0_326]) ).

fof(c_0_565_566,plain,
    ! [X28,X29,X30] :
      ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X30),X28)),hAPP(hAPP(c_Lambda_OdB_OApp,X29),X28)))
      | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X30),X29)) ),
    inference(variable_rename,[status(thm)],[c_0_327]) ).

fof(c_0_566_567,plain,
    ! [X65,X66,X67,X68,X69] :
      ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X65,X69),X68),X66))
      | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X65,X69),X67),X66))
      | ~ hBOOL(hAPP(hAPP(X65,X68),X67)) ),
    inference(variable_rename,[status(thm)],[c_0_328]) ).

fof(c_0_567_568,plain,
    ! [X65,X66,X67,X68,X69] :
      ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X65,X69),X68),X66))
      | ~ hBOOL(hAPP(hAPP(X65,X67),X66))
      | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X65,X69),X68),X67)) ),
    inference(variable_rename,[status(thm)],[c_0_329]) ).

fof(c_0_568_569,plain,
    ! [X31,X32,X33,X34,X35] :
      ( hAPP(c_Type_Oshift(X33,X32,X34,X35),X31) = hAPP(X33,X31)
      | ~ c_HOL_Oord__class_Oless(X31,X32,tc_nat) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_330])])]) ).

fof(c_0_569_570,plain,
    ! [X55,X56,X57,X58,X59] :
      ( ~ hBOOL(hAPP(hAPP(X58,X55),X56))
      | c_ListOrder_Ostep1(X58,c_List_Olist_OCons(X55,X57,X59),c_List_Olist_OCons(X56,X57,X59),X59) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_331])])]) ).

fof(c_0_570_571,plain,
    ! [X55,X56,X57] :
      ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Olift(X56,X57)),c_Lambda_Olift(X55,X57)))
      | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X56),X55)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_332])])]) ).

fof(c_0_571_572,plain,
    ! [X44,X45,X46,X47,X48] :
      ( c_List_Oappend(X46,c_List_Olist_OCons(X47,c_List_Olist_ONil(X48),X48),X48) != c_List_Oappend(X44,c_List_Olist_OCons(X45,c_List_Olist_ONil(X48),X48),X48)
      | X46 = X44 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_333])])]) ).

fof(c_0_572_573,plain,
    ! [X44,X45,X46,X47,X48] :
      ( c_List_Oappend(X46,c_List_Olist_OCons(X47,c_List_Olist_ONil(X48),X48),X48) != c_List_Oappend(X44,c_List_Olist_OCons(X45,c_List_Olist_ONil(X48),X48),X48)
      | X47 = X45 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_334])])]) ).

fof(c_0_573_574,plain,
    ! [X65,X66,X67,X68] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X68)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X68),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X68),X67),X66)),X65) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X68),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X68),X67),X65)),X66) ),
    inference(variable_rename,[status(thm)],[c_0_335]) ).

fof(c_0_574_575,plain,
    ! [X65,X66,X67,X68] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X68)
      | c_HOL_Oord__class_Oless(X67,X66,X68)
      | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X68),X67),X65),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X68),X66),X65),X68) ),
    inference(variable_rename,[status(thm)],[c_0_336]) ).

fof(c_0_575_576,plain,
    ! [X65,X66,X67,X68] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X68)
      | c_HOL_Oord__class_Oless(X67,X66,X68)
      | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X68),X65),X67),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X68),X65),X66),X68) ),
    inference(variable_rename,[status(thm)],[c_0_337]) ).

fof(c_0_576_577,plain,
    ! [X10,X11,X12] :
      ( X12 = hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__3__1(X12,X11,X10)),c_Type_Osko__Type__Xtyping__elims__3__2(X12,X11,X10))
      | ~ c_Type_Otyping(X11,c_Lambda_OdB_OAbs(X10),X12) ),
    inference(variable_rename,[status(thm)],[c_0_338]) ).

fof(c_0_577_578,plain,
    ! [X64,X65] :
      ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_OdB_OAbs(X65)),c_Lambda_OdB_OAbs(X64)))
      | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X65),X64)) ),
    inference(variable_rename,[status(thm)],[c_0_339]) ).

fof(c_0_578_579,plain,
    ! [X67,X68,X69,X70,X71] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X71)
      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X71),X70),X68),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X71),X69),X67),X71)
      | ~ c_HOL_Oord__class_Oless(X68,X67,X71)
      | ~ c_HOL_Oord__class_Oless(X70,X69,X71) ),
    inference(variable_rename,[status(thm)],[c_0_340]) ).

fof(c_0_579_580,plain,
    ! [X55,X56,X57,X58] :
      ( c_Wellfounded_Oaccp(X55,X56,X58)
      | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X55,X58),X56),X57))
      | ~ c_Wellfounded_Oaccp(X55,X57,X58) ),
    inference(variable_rename,[status(thm)],[c_0_341]) ).

fof(c_0_580_581,plain,
    ! [X55,X56,X57,X58] :
      ( c_Wellfounded_Oaccp(X55,X56,X58)
      | ~ c_Wellfounded_Oaccp(X55,X57,X58)
      | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X55,X58),X56),X57)) ),
    inference(variable_rename,[status(thm)],[c_0_342]) ).

fof(c_0_581_582,plain,
    ! [X62,X63,X64,X65] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X65)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X65),X64),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X65),X63),X62)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X65),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X65),X64),X63)),X62) ),
    inference(variable_rename,[status(thm)],[c_0_343]) ).

fof(c_0_582_583,plain,
    ! [X65,X66,X67,X68] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X68)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X68),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X68),X67),X66)),X65) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X68),X67),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X68),X66),X65)) ),
    inference(variable_rename,[status(thm)],[c_0_344]) ).

fof(c_0_583_584,plain,
    ! [X65,X66,X67,X68] :
      ( ~ class_OrderedGroup_Oab__semigroup__add(X68)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X68),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X68),X67),X66)),X65) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X68),X67),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X68),X66),X65)) ),
    inference(variable_rename,[status(thm)],[c_0_345]) ).

fof(c_0_584_585,plain,
    ! [X67,X68,X69,X70] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X70)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X70),X69),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X70),X68),X67)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X70),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X70),X69),X68)),X67) ),
    inference(variable_rename,[status(thm)],[c_0_346]) ).

fof(c_0_585_586,plain,
    ! [X65,X66,X67,X68] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X68)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X68),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X68),X67),X66)),X65) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X68),X67),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X68),X66),X65)) ),
    inference(variable_rename,[status(thm)],[c_0_347]) ).

fof(c_0_586_587,plain,
    ! [X28,X29,X30,X31,X32] :
      ( c_Type_Otyping(X30,hAPP(hAPP(c_Lambda_OdB_OApp,X29),X28),X31)
      | ~ c_Type_Otyping(X30,X28,X32)
      | ~ c_Type_Otyping(X30,X29,hAPP(hAPP(c_Type_Otype_OFun,X32),X31)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_348])])]) ).

fof(c_0_587_588,plain,
    ! [X35,X36,X37,X38] :
      ( c_Type_Otyping(X37,X35,X38)
      | ~ c_Type_Otyping(X37,X36,X38)
      | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X36),X35)) ),
    inference(variable_rename,[status(thm)],[c_0_349]) ).

fof(c_0_588_589,plain,
    ! [X62,X63,X64,X65,X66] :
      ( ~ class_OrderedGroup_Oab__group__add(X66)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X66),X64),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X66),X63),X62)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X66),X63),X65)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X66),X64),X62) = X65 ),
    inference(variable_rename,[status(thm)],[c_0_350]) ).

fof(c_0_589_590,plain,
    ! [X41,X42,X43] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X43)
      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X43),X42),X41),c_HOL_Ozero__class_Ozero(X43),X43)
      | ~ c_HOL_Oord__class_Oless(X41,c_HOL_Ozero__class_Ozero(X43),X43)
      | ~ c_HOL_Oord__class_Oless(X42,c_HOL_Ozero__class_Ozero(X43),X43) ),
    inference(variable_rename,[status(thm)],[c_0_351]) ).

fof(c_0_590_591,plain,
    ! [X41,X42,X43] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X43)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X43),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X43),X42),X41),X43)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X43),X41,X43)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X43),X42,X43) ),
    inference(variable_rename,[status(thm)],[c_0_352]) ).

fof(c_0_591_592,plain,
    ! [X65,X66,X67,X68] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X68)
      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X68),X67),X65),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X68),X66),X65),X68)
      | ~ c_HOL_Oord__class_Oless(X67,X66,X68) ),
    inference(variable_rename,[status(thm)],[c_0_353]) ).

fof(c_0_592_593,plain,
    ! [X65,X66,X67,X68] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X68)
      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X68),X67),X65),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X68),X66),X65),X68)
      | ~ c_HOL_Oord__class_Oless(X67,X66,X68) ),
    inference(variable_rename,[status(thm)],[c_0_354]) ).

fof(c_0_593_594,plain,
    ! [X65,X66,X67,X68] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X68)
      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X68),X65),X67),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X68),X65),X66),X68)
      | ~ c_HOL_Oord__class_Oless(X67,X66,X68) ),
    inference(variable_rename,[status(thm)],[c_0_355]) ).

fof(c_0_594_595,plain,
    ! [X65,X66,X67,X68] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X68)
      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X68),X65),X67),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X68),X65),X66),X68)
      | ~ c_HOL_Oord__class_Oless(X67,X66,X68) ),
    inference(variable_rename,[status(thm)],[c_0_356]) ).

fof(c_0_595_596,plain,
    ! [X55,X56,X57] :
      ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Olift(X56,X57)),c_Lambda_Olift(X55,X57)))
      | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X56),X55)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_357])])]) ).

fof(c_0_596_597,plain,
    ! [X65,X66,X67,X68] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X68)
      | c_HOL_Oord__class_Oless(X66,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X68),X67),X65),X68)
      | ~ c_HOL_Oord__class_Oless(X66,X65,X68)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X68),X67,X68) ),
    inference(variable_rename,[status(thm)],[c_0_358]) ).

fof(c_0_597_598,plain,
    ! [X66,X67,X68,X69] :
      ( c_List_Olistsp(X68,c_List_Oappend(X67,X66,X69),X69)
      | ~ c_List_Olistsp(X68,X66,X69)
      | ~ c_List_Olistsp(X68,X67,X69) ),
    inference(variable_rename,[status(thm)],[c_0_359]) ).

fof(c_0_598_599,plain,
    ! [X41,X42] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X42)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X42),X41,X42)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X42),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X42),X41),X41),X42) ),
    inference(variable_rename,[status(thm)],[c_0_360]) ).

fof(c_0_599_600,plain,
    ! [X41,X42] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X42)
      | c_HOL_Oord__class_Oless(X41,c_HOL_Ozero__class_Ozero(X42),X42)
      | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X42),X41),X41),c_HOL_Ozero__class_Ozero(X42),X42) ),
    inference(variable_rename,[status(thm)],[c_0_361]) ).

fof(c_0_600_601,plain,
    ! [X41,X42] :
      ( ~ class_Ring__and__Field_Oordered__idom(X42)
      | c_HOL_Oord__class_Oless(X41,c_HOL_Ozero__class_Ozero(X42),X42)
      | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X42),X41),X41),c_HOL_Ozero__class_Ozero(X42),X42) ),
    inference(variable_rename,[status(thm)],[c_0_362]) ).

fof(c_0_601_602,plain,
    ! [X62,X63,X64,X65] :
      ( ~ class_OrderedGroup_Oab__group__add(X65)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X65),X64),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X65),X63),X62)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X65),X63),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X65),X64),X62)) ),
    inference(variable_rename,[status(thm)],[c_0_363]) ).

fof(c_0_602_603,plain,
    ! [X65,X66,X67,X68] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X68)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X68),X67),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X68),X66),X65)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X68),X66),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X68),X67),X65)) ),
    inference(variable_rename,[status(thm)],[c_0_364]) ).

fof(c_0_603_604,plain,
    ! [X67,X68,X69,X70] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X70)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X70),X69),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X70),X68),X67)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X70),X68),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X70),X69),X67)) ),
    inference(variable_rename,[status(thm)],[c_0_365]) ).

fof(c_0_604_605,plain,
    ! [X55,X56,X57,X58] :
      ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X57,X58),X56),X55))
      | ~ hBOOL(hAPP(hAPP(X57,X56),X55)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_366])])]) ).

fof(c_0_605_606,plain,
    ! [X66,X67,X68,X69] :
      ( c_List_Olistsp(X68,X66,X69)
      | ~ c_List_Olistsp(X68,c_List_Oappend(X67,X66,X69),X69) ),
    inference(variable_rename,[status(thm)],[c_0_367]) ).

fof(c_0_606_607,plain,
    ! [X66,X67,X68,X69] :
      ( c_List_Olistsp(X68,X67,X69)
      | ~ c_List_Olistsp(X68,c_List_Oappend(X67,X66,X69),X69) ),
    inference(variable_rename,[status(thm)],[c_0_368]) ).

fof(c_0_607_608,plain,
    ! [X55,X56,X57] :
      ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X55,c_Lambda_OdB_OVar(X57),X56)))
      | ~ hBOOL(hAPP(c_InductTermi_OIT,X55)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_369])])]) ).

fof(c_0_608_609,plain,
    ! [X44,X45,X46,X47] :
      ( c_List_Orev(X46,X47) != c_List_Olist_OCons(X45,X44,X47)
      | X46 = c_List_Oappend(c_List_Orev(X44,X47),c_List_Olist_OCons(X45,c_List_Olist_ONil(X47),X47),X47) ),
    inference(variable_rename,[status(thm)],[c_0_370]) ).

fof(c_0_609_610,plain,
    ! [X47,X48,X49] :
      ( c_List_Otake(X48,c_List_Obutlast(X47,X49),X49) = c_List_Otake(X48,X47,X49)
      | ~ c_HOL_Oord__class_Oless(X48,c_Nat_Osize__class_Osize(X47,tc_List_Olist(X49)),tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_371]) ).

fof(c_0_610_611,plain,
    ! [X55,X56,X57,X58] :
      ( c_Wellfounded_Oaccp(X56,X55,X58)
      | ~ hBOOL(hAPP(hAPP(X56,X55),X57))
      | ~ c_Wellfounded_Oaccp(X56,X57,X58) ),
    inference(variable_rename,[status(thm)],[c_0_372]) ).

fof(c_0_611_612,plain,
    ! [X55,X56,X57,X58] :
      ( c_Wellfounded_Oaccp(X55,X57,X58)
      | ~ hBOOL(hAPP(hAPP(X55,X57),X56))
      | ~ c_Wellfounded_Oaccp(X55,X56,X58) ),
    inference(variable_rename,[status(thm)],[c_0_373]) ).

fof(c_0_612_613,plain,
    ! [X41,X42] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X42)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X42),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X42),X41),X41),X42)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X42),X41,X42) ),
    inference(variable_rename,[status(thm)],[c_0_374]) ).

fof(c_0_613_614,plain,
    ! [X41,X42] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X42)
      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X42),X41),X41),c_HOL_Ozero__class_Ozero(X42),X42)
      | ~ c_HOL_Oord__class_Oless(X41,c_HOL_Ozero__class_Ozero(X42),X42) ),
    inference(variable_rename,[status(thm)],[c_0_375]) ).

fof(c_0_614_615,plain,
    ! [X41,X42] :
      ( ~ class_Ring__and__Field_Oordered__idom(X42)
      | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X42),X41),X41),c_HOL_Ozero__class_Ozero(X42),X42)
      | ~ c_HOL_Oord__class_Oless(X41,c_HOL_Ozero__class_Ozero(X42),X42) ),
    inference(variable_rename,[status(thm)],[c_0_376]) ).

fof(c_0_615_616,plain,
    ! [X55] :
      ( hBOOL(hAPP(c_InductTermi_OIT,X55))
      | ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),X55,tc_Lambda_OdB) ),
    inference(variable_rename,[status(thm)],[c_0_377]) ).

fof(c_0_616_617,plain,
    ! [X35,X36,X37,X38] :
      ( c_Type_Otyping(X37,X35,X38)
      | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X36),X35))
      | ~ c_Type_Otyping(X37,X36,X38) ),
    inference(variable_rename,[status(thm)],[c_0_378]) ).

fof(c_0_617_618,plain,
    ! [X44,X45] :
      ( c_List_Oappend(c_List_Obutlast(X44,X45),c_List_Olist_OCons(c_List_Olast(X44,X45),c_List_Olist_ONil(X45),X45),X45) = X44
      | X44 = c_List_Olist_ONil(X45) ),
    inference(variable_rename,[status(thm)],[c_0_379]) ).

fof(c_0_618_619,plain,
    ! [X11,X12] :
      ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,X11),c_Lambda_OdB_OVar(X12))))
      | ~ hBOOL(hAPP(c_InductTermi_OIT,X11)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_380])])]) ).

fof(c_0_619_620,plain,
    ! [X62,X63,X64,X65] :
      ( ~ class_Orderings_Oorder(X65)
      | c_HOL_Oord__class_Oless(X62,X64,X65)
      | ~ c_HOL_Oord__class_Oless(X62,X63,X65)
      | ~ c_HOL_Oord__class_Oless(X63,X64,X65) ),
    inference(variable_rename,[status(thm)],[c_0_381]) ).

fof(c_0_620_621,plain,
    ! [X62,X63,X64,X65] :
      ( ~ class_Orderings_Opreorder(X65)
      | c_HOL_Oord__class_Oless(X64,X62,X65)
      | ~ c_HOL_Oord__class_Oless(X63,X62,X65)
      | ~ c_HOL_Oord__class_Oless(X64,X63,X65) ),
    inference(variable_rename,[status(thm)],[c_0_382]) ).

fof(c_0_621_622,plain,
    ! [X28,X29] :
      ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(X29)),c_Lambda_OdB_OAbs(X28)))
      | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X29),X28)) ),
    inference(variable_rename,[status(thm)],[c_0_383]) ).

fof(c_0_622_623,plain,
    ! [X48,X49,X50] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X50)
      | c_HOL_Oord__class_Oless(X49,X48,tc_nat)
      | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X49,X50),c_Nat_Osemiring__1__class_Oof__nat(X48,X50),X50) ),
    inference(variable_rename,[status(thm)],[c_0_384]) ).

fof(c_0_623_624,plain,
    ! [X44,X45,X46] :
      ( c_List_Obutlast(c_List_Olist_OCons(X45,X44,X46),X46) = c_List_Olist_OCons(X45,c_List_Obutlast(X44,X46),X46)
      | X44 = c_List_Olist_ONil(X46) ),
    inference(variable_rename,[status(thm)],[c_0_385]) ).

fof(c_0_624_625,plain,
    ! [X44,X45,X46] :
      ( c_List_Obutlast(c_List_Oappend(X45,X44,X46),X46) = c_List_Oappend(X45,c_List_Obutlast(X44,X46),X46)
      | X44 = c_List_Olist_ONil(X46) ),
    inference(variable_rename,[status(thm)],[c_0_386]) ).

fof(c_0_625_626,plain,
    ! [X47,X48] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X48)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X47,tc_nat)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X48),c_Nat_Osemiring__1__class_Oof__nat(X47,X48),X48) ),
    inference(variable_rename,[status(thm)],[c_0_387]) ).

fof(c_0_626_627,plain,
    ! [X48,X49,X50] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X50)
      | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X49,X50),c_Nat_Osemiring__1__class_Oof__nat(X48,X50),X50)
      | ~ c_HOL_Oord__class_Oless(X49,X48,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_388]) ).

fof(c_0_627_628,plain,
    ! [X8] :
      ( c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),X8,tc_Lambda_OdB)
      | ~ hBOOL(hAPP(c_InductTermi_OIT,X8)) ),
    inference(variable_rename,[status(thm)],[c_0_389]) ).

fof(c_0_628_629,plain,
    ! [X48,X49,X50] :
      ( hBOOL(hAPP(hAPP(X50,X48),X49))
      | c_HOL_Oord__class_Oless(X48,X49,tc_nat)
      | X49 = X48
      | c_HOL_Oord__class_Oless(X49,X48,tc_nat) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_390])])]) ).

fof(c_0_629_630,plain,
    ! [X47,X48] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X48)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X48),c_Nat_Osemiring__1__class_Oof__nat(X47,X48),X48)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X47,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_391]) ).

fof(c_0_630_631,plain,
    ! [X62,X63,X64,X65] :
      ( ~ class_Ring__and__Field_Oidom(X65)
      | ~ class_Int_Onumber__ring(X65)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X65),X64),X63) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X65),X64),X62)
      | X63 = X62 ),
    inference(variable_rename,[status(thm)],[c_0_392]) ).

fof(c_0_631_632,plain,
    ! [X41,X42,X43] :
      ( ~ class_Orderings_Oorder(X43)
      | ~ c_HOL_Oord__class_Oless(X42,X41,X43)
      | ~ c_HOL_Oord__class_Oless(X41,X42,X43) ),
    inference(variable_rename,[status(thm)],[c_0_393]) ).

fof(c_0_632_633,plain,
    ! [X42,X43,X44] :
      ( ~ class_Orderings_Olinorder(X44)
      | ~ c_HOL_Oord__class_Oless(X43,X42,X44)
      | ~ c_HOL_Oord__class_Oless(X42,X43,X44) ),
    inference(variable_rename,[status(thm)],[c_0_394]) ).

fof(c_0_633_634,plain,
    ! [X42,X43,X44] :
      ( ~ class_Orderings_Opreorder(X44)
      | ~ c_HOL_Oord__class_Oless(X42,X43,X44)
      | ~ c_HOL_Oord__class_Oless(X43,X42,X44) ),
    inference(variable_rename,[status(thm)],[c_0_395]) ).

fof(c_0_634_635,plain,
    ! [X41,X42,X43] :
      ( ~ class_Orderings_Opreorder(X43)
      | ~ c_HOL_Oord__class_Oless(X41,X42,X43)
      | ~ c_HOL_Oord__class_Oless(X42,X41,X43) ),
    inference(variable_rename,[status(thm)],[c_0_396]) ).

fof(c_0_635_636,plain,
    ! [X44,X45,X46] :
      ( c_List_Olist_OCons(X45,c_List_Olist_ONil(X46),X46) != c_List_Orev(X44,X46)
      | X44 = c_List_Olist_OCons(X45,c_List_Olist_ONil(X46),X46) ),
    inference(variable_rename,[status(thm)],[c_0_397]) ).

fof(c_0_636_637,plain,
    ! [X44,X45,X46] :
      ( c_List_Orev(X44,X46) != c_List_Olist_OCons(X45,c_List_Olist_ONil(X46),X46)
      | X44 = c_List_Olist_OCons(X45,c_List_Olist_ONil(X46),X46) ),
    inference(variable_rename,[status(thm)],[c_0_398]) ).

fof(c_0_637_638,plain,
    ! [X48,X49,X50,X51,X52] :
      ( c_List_Oreplicate(X51,X49,X52) != c_List_Oreplicate(X50,X48,X52)
      | X49 = X48
      | X51 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_399])])]) ).

fof(c_0_638_639,plain,
    ! [X48,X49,X50,X51,X52] :
      ( c_List_Oreplicate(X51,X49,X52) != c_List_Oreplicate(X50,X48,X52)
      | X51 = X50 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_400])])]) ).

fof(c_0_639_640,plain,
    ! [X65,X66,X67,X68] :
      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X68)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X68),X67),X66) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X68),X67),X65)
      | X66 = X65 ),
    inference(variable_rename,[status(thm)],[c_0_401]) ).

fof(c_0_640_641,plain,
    ! [X65,X66,X67,X68] :
      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X68)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X68),X67),X66) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X68),X67),X65)
      | X66 = X65 ),
    inference(variable_rename,[status(thm)],[c_0_402]) ).

fof(c_0_641_642,plain,
    ! [X65,X66,X67,X68] :
      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X68)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X68),X66),X67) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X68),X65),X67)
      | X66 = X65 ),
    inference(variable_rename,[status(thm)],[c_0_403]) ).

fof(c_0_642_643,plain,
    ! [X60,X61,X62,X63] :
      ( c_List_Oappend(X61,X62,X63) != c_List_Oappend(X60,X62,X63)
      | X61 = X60 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_404])])]) ).

fof(c_0_643_644,plain,
    ! [X60,X61,X62,X63] :
      ( c_List_Oappend(X62,X61,X63) != c_List_Oappend(X62,X60,X63)
      | X61 = X60 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_405])])]) ).

fof(c_0_644_645,plain,
    ! [X51,X52,X53,X54,X55] :
      ( c_List_Olist_OCons(X54,X52,X55) != c_List_Olist_OCons(X53,X51,X55)
      | X54 = X53 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_406])])]) ).

fof(c_0_645_646,plain,
    ! [X51,X52,X53,X54,X55] :
      ( c_List_Olist_OCons(X54,X52,X55) != c_List_Olist_OCons(X53,X51,X55)
      | X52 = X51 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_407])])]) ).

fof(c_0_646_647,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_408])])]) ).

fof(c_0_647_648,plain,
    ! [X31,X32,X33] :
      ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X32),X31,X33) = c_Lambda_OdB_OVar(X32)
      | ~ c_HOL_Oord__class_Oless(X32,X33,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_409]) ).

fof(c_0_648_649,plain,
    ! [X48,X49] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X49)
      | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X48,X49),c_HOL_Ozero__class_Ozero(X49),X49) ),
    inference(variable_rename,[status(thm)],[c_0_410]) ).

fof(c_0_649_650,plain,
    ! [X44,X45,X46] :
      ( c_List_Olast(c_List_Olist_OCons(X45,X44,X46),X46) = c_List_Olast(X44,X46)
      | X44 = c_List_Olist_ONil(X46) ),
    inference(variable_rename,[status(thm)],[c_0_411]) ).

fof(c_0_650_651,plain,
    ! [X44,X45,X46] :
      ( c_List_Olast(c_List_Oappend(X45,X44,X46),X46) = c_List_Olast(X44,X46)
      | X44 = c_List_Olist_ONil(X46) ),
    inference(variable_rename,[status(thm)],[c_0_412]) ).

fof(c_0_651_652,plain,
    ! [X47,X48,X49] :
      ( c_List_Olast(c_List_Oreplicate(X48,X47,X49),X49) = X47
      | X48 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_413])])]) ).

fof(c_0_652_653,plain,
    ! [X27,X28,X29,X30] :
      ( c_Type_Osko__Type__Xtype__induct__1__1(X30) != hAPP(hAPP(c_Type_Otype_OFun,X28),X27)
      | hBOOL(hAPP(X30,X29))
      | hBOOL(hAPP(X30,X27)) ),
    inference(variable_rename,[status(thm)],[c_0_414]) ).

fof(c_0_653_654,plain,
    ! [X30,X31,X32,X33] :
      ( c_Type_Osko__Type__Xtype__induct__1__1(X33) != hAPP(hAPP(c_Type_Otype_OFun,X31),X30)
      | hBOOL(hAPP(X33,X32))
      | hBOOL(hAPP(X33,X31)) ),
    inference(variable_rename,[status(thm)],[c_0_415]) ).

fof(c_0_654_655,plain,
    ! [X11,X12] :
      ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Olift(X11,X12)))
      | ~ hBOOL(hAPP(c_InductTermi_OIT,X11)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_416])])]) ).

fof(c_0_655_656,plain,
    ! [X61,X62,X63] :
      ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X63),X61,X62) = c_Lambda_OdB_OVar(X63)
      | X63 = X62
      | c_HOL_Oord__class_Oless(X62,X63,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_417]) ).

fof(c_0_656_657,plain,
    ! [X42,X43,X44] :
      ( ~ class_Ring__and__Field_Oordered__idom(X44)
      | c_HOL_Oord__class_Oless(X42,X43,X44)
      | c_HOL_Oord__class_Oless(X43,X42,X44)
      | X43 = X42 ),
    inference(variable_rename,[status(thm)],[c_0_418]) ).

fof(c_0_657_658,plain,
    ! [X42,X43,X44] :
      ( ~ class_Orderings_Olinorder(X44)
      | X43 = X42
      | c_HOL_Oord__class_Oless(X42,X43,X44)
      | c_HOL_Oord__class_Oless(X43,X42,X44) ),
    inference(variable_rename,[status(thm)],[c_0_419]) ).

fof(c_0_658_659,plain,
    ! [X42,X43,X44] :
      ( ~ class_Orderings_Olinorder(X44)
      | c_HOL_Oord__class_Oless(X42,X43,X44)
      | c_HOL_Oord__class_Oless(X43,X42,X44)
      | X43 = X42 ),
    inference(variable_rename,[status(thm)],[c_0_420]) ).

fof(c_0_659_660,plain,
    ! [X42,X43,X44] :
      ( ~ class_Orderings_Olinorder(X44)
      | c_HOL_Oord__class_Oless(X42,X43,X44)
      | X43 = X42
      | c_HOL_Oord__class_Oless(X43,X42,X44) ),
    inference(variable_rename,[status(thm)],[c_0_421]) ).

fof(c_0_660_661,plain,
    ! [X42,X43,X44] :
      ( ~ class_Orderings_Olinorder(X44)
      | X43 = X42
      | c_HOL_Oord__class_Oless(X43,X42,X44)
      | c_HOL_Oord__class_Oless(X42,X43,X44) ),
    inference(variable_rename,[status(thm)],[c_0_422]) ).

fof(c_0_661_662,plain,
    ! [X58,X59,X60,X61] :
      ( hAPP(hAPP(c_Lambda_OdB_OApp,X61),X59) != hAPP(hAPP(c_Lambda_OdB_OApp,X60),X58)
      | X59 = X58 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_423])])]) ).

fof(c_0_662_663,plain,
    ! [X58,X59,X60,X61] :
      ( hAPP(hAPP(c_Lambda_OdB_OApp,X61),X59) != hAPP(hAPP(c_Lambda_OdB_OApp,X60),X58)
      | X61 = X60 ),
    inference(variable_rename,[status(thm)],[c_0_424]) ).

fof(c_0_663_664,plain,
    ! [X34,X35,X36,X37] :
      ( hAPP(hAPP(c_Type_Otype_OFun,X37),X35) != hAPP(hAPP(c_Type_Otype_OFun,X36),X34)
      | X37 = X36 ),
    inference(variable_rename,[status(thm)],[c_0_425]) ).

fof(c_0_664_665,plain,
    ! [X34,X35,X36,X37] :
      ( hAPP(hAPP(c_Type_Otype_OFun,X37),X35) != hAPP(hAPP(c_Type_Otype_OFun,X36),X34)
      | X35 = X34 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_426])])]) ).

fof(c_0_665_666,plain,
    ! [X29,X30] :
      ( c_HOL_Oord__class_Oless(X29,X29,tc_nat)
      | c_Lambda_Osubst(c_Lambda_OdB_OVar(X29),X30,X29) = X30 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_427])])]) ).

fof(c_0_666_667,plain,
    ! [X65,X66,X67] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X67)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X67),X66),X65) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X67),X65),X66) ),
    inference(variable_rename,[status(thm)],[c_0_428]) ).

fof(c_0_667_668,plain,
    ! [X41,X42,X43] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X43)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X43),X42),X41) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X43),X41),X42) ),
    inference(variable_rename,[status(thm)],[c_0_429]) ).

fof(c_0_668_669,plain,
    ! [X42,X43,X44] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X44)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X44),X43),X42) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X44),X42),X43) ),
    inference(variable_rename,[status(thm)],[c_0_430]) ).

fof(c_0_669_670,plain,
    ! [X11,X12,X13] :
      ( hAPP(X12,X11) = X13
      | ~ c_Type_Otyping(X12,c_Lambda_OdB_OVar(X11),X13) ),
    inference(variable_rename,[status(thm)],[c_0_431]) ).

fof(c_0_670_671,plain,
    ! [X48,X49] :
      ( c_HOL_Oord__class_Oless(X48,X49,tc_nat)
      | c_HOL_Oord__class_Oless(X49,X48,tc_nat)
      | X49 = X48 ),
    inference(variable_rename,[status(thm)],[c_0_432]) ).

fof(c_0_671_672,plain,
    ! [X42,X43] :
      ( c_HOL_Oord__class_Oless(X42,X43,tc_nat)
      | c_HOL_Oord__class_Oless(X43,X42,tc_nat)
      | X43 = X42 ),
    inference(variable_rename,[status(thm)],[c_0_433]) ).

fof(c_0_672_673,plain,
    ! [X61,X62] :
      ( c_Lambda_Olift(c_Lambda_OdB_OVar(X62),X61) = c_Lambda_OdB_OVar(X62)
      | ~ c_HOL_Oord__class_Oless(X62,X61,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_434]) ).

fof(c_0_673_674,plain,
    ! [X41,X42,X43] :
      ( ~ class_Ring__and__Field_Oidom(X43)
      | ~ class_Int_Onumber__ring(X43)
      | X41 != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X43),X41),X42)
      | X42 = c_HOL_Ozero__class_Ozero(X43) ),
    inference(variable_rename,[status(thm)],[c_0_435]) ).

fof(c_0_674_675,plain,
    ! [X47,X48,X49] :
      ( c_List_Otake(X48,X47,X49) != c_List_Olist_ONil(X49)
      | X47 = c_List_Olist_ONil(X49)
      | X48 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_436]) ).

fof(c_0_675_676,plain,
    ! [X41,X42] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X42)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X42),X41),X41) != c_HOL_Ozero__class_Ozero(X42)
      | X41 = c_HOL_Ozero__class_Ozero(X42) ),
    inference(variable_rename,[status(thm)],[c_0_437]) ).

fof(c_0_676_677,plain,
    ! [X44,X45] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(X44,tc_List_Olist(X45)),tc_nat)
      | X44 = c_List_Olist_ONil(X45) ),
    inference(variable_rename,[status(thm)],[c_0_438]) ).

fof(c_0_677_678,plain,
    ! [X19,X20] :
      ( hBOOL(hAPP(X20,X19))
      | ~ hBOOL(hAPP(X20,c_Type_Osko__Type__Xtype__induct__1__1(X20))) ),
    inference(variable_rename,[status(thm)],[c_0_439]) ).

fof(c_0_678_679,plain,
    ! [X44,X45,X46] :
      ( c_List_Olist_ONil(X46) != c_List_Oappend(X45,X44,X46)
      | X45 = c_List_Olist_ONil(X46) ),
    inference(variable_rename,[status(thm)],[c_0_440]) ).

fof(c_0_679_680,plain,
    ! [X44,X45,X46] :
      ( c_List_Olist_ONil(X46) != c_List_Oappend(X45,X44,X46)
      | X44 = c_List_Olist_ONil(X46) ),
    inference(variable_rename,[status(thm)],[c_0_441]) ).

fof(c_0_680_681,plain,
    ! [X44,X45,X46] :
      ( c_List_Oappend(X45,X44,X46) != c_List_Olist_ONil(X46)
      | X45 = c_List_Olist_ONil(X46) ),
    inference(variable_rename,[status(thm)],[c_0_442]) ).

fof(c_0_681_682,plain,
    ! [X44,X45,X46] :
      ( c_List_Oappend(X45,X44,X46) != c_List_Olist_ONil(X46)
      | X44 = c_List_Olist_ONil(X46) ),
    inference(variable_rename,[status(thm)],[c_0_443]) ).

fof(c_0_682_683,plain,
    ! [X47,X48,X49] :
      ( c_List_Oreplicate(X48,X47,X49) != c_List_Olist_ONil(X49)
      | X48 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_444])])]) ).

fof(c_0_683_684,plain,
    ! [X47,X48,X49] :
      ( c_List_Olist_ONil(X49) != c_List_Oreplicate(X48,X47,X49)
      | X48 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_445])])]) ).

fof(c_0_684_685,plain,
    ! [X29,X30] :
      ( ~ class_Orderings_Oorder(X30)
      | ~ c_HOL_Oord__class_Oless(X29,X29,X30) ),
    inference(variable_rename,[status(thm)],[c_0_446]) ).

fof(c_0_685_686,plain,
    ! [X29,X30] :
      ( ~ class_Orderings_Olinorder(X30)
      | ~ c_HOL_Oord__class_Oless(X29,X29,X30) ),
    inference(variable_rename,[status(thm)],[c_0_447]) ).

fof(c_0_686_687,plain,
    ! [X29,X30] :
      ( ~ class_Orderings_Opreorder(X30)
      | ~ c_HOL_Oord__class_Oless(X29,X29,X30) ),
    inference(variable_rename,[status(thm)],[c_0_448]) ).

fof(c_0_687_688,plain,
    ! [X44,X45,X46] :
      ( c_List_Oappend(X45,X44,X46) != X45
      | X44 = c_List_Olist_ONil(X46) ),
    inference(variable_rename,[status(thm)],[c_0_449]) ).

fof(c_0_688_689,plain,
    ! [X44,X45,X46] :
      ( X45 != c_List_Oappend(X45,X44,X46)
      | X44 = c_List_Olist_ONil(X46) ),
    inference(variable_rename,[status(thm)],[c_0_450]) ).

fof(c_0_689_690,plain,
    ! [X44,X45,X46] :
      ( c_List_Oappend(X45,X44,X46) != X44
      | X45 = c_List_Olist_ONil(X46) ),
    inference(variable_rename,[status(thm)],[c_0_451]) ).

fof(c_0_690_691,plain,
    ! [X44,X45,X46] :
      ( X44 != c_List_Oappend(X45,X44,X46)
      | X45 = c_List_Olist_ONil(X46) ),
    inference(variable_rename,[status(thm)],[c_0_452]) ).

fof(c_0_691_692,plain,
    ! [X55] :
      ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(X55)))
      | ~ hBOOL(hAPP(c_InductTermi_OIT,X55)) ),
    inference(variable_rename,[status(thm)],[c_0_453]) ).

fof(c_0_692_693,plain,
    ! [X4] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X4),c_HOL_Ozero__class_Ozero(X4)),c_HOL_Ozero__class_Ozero(X4)) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(variable_rename,[status(thm)],[c_0_454]) ).

fof(c_0_693_694,plain,
    ! [X29,X30] :
      ( ~ class_Ring__and__Field_Oidom(X30)
      | ~ class_Int_Onumber__ring(X30)
      | X29 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X30),X29),c_HOL_Ozero__class_Ozero(X30)) ),
    inference(variable_rename,[status(thm)],[c_0_455]) ).

fof(c_0_694_695,plain,
    ! [X29,X30] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X30)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X30),c_HOL_Ozero__class_Ozero(X30)),X29) = X29 ),
    inference(variable_rename,[status(thm)],[c_0_456]) ).

fof(c_0_695,plain,
    ! [X41,X42] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X42)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X42),c_HOL_Ozero__class_Ozero(X42)),X41) = X41 ),
    inference(variable_rename,[status(thm)],[c_0_457]) ).

fof(c_0_696,plain,
    ! [X41,X42] :
      ( ~ class_OrderedGroup_Omonoid__add(X42)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X42),c_HOL_Ozero__class_Ozero(X42)),X41) = X41 ),
    inference(variable_rename,[status(thm)],[c_0_458]) ).

fof(c_0_697,plain,
    ! [X41,X42] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X42)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X42),c_HOL_Ozero__class_Ozero(X42)),X41) = X41 ),
    inference(variable_rename,[status(thm)],[c_0_459]) ).

fof(c_0_698,plain,
    ! [X41,X42] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X42)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X42),X41),c_HOL_Ozero__class_Ozero(X42)) = X41 ),
    inference(variable_rename,[status(thm)],[c_0_460]) ).

fof(c_0_699,plain,
    ! [X41,X42] :
      ( ~ class_OrderedGroup_Omonoid__add(X42)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X42),X41),c_HOL_Ozero__class_Ozero(X42)) = X41 ),
    inference(variable_rename,[status(thm)],[c_0_461]) ).

fof(c_0_700,plain,
    ! [X41,X42] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X42)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X42),X41),c_HOL_Ozero__class_Ozero(X42)) = X41 ),
    inference(variable_rename,[status(thm)],[c_0_462]) ).

fof(c_0_701,plain,
    ! [X47] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X47,tc_nat)
      | X47 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_463]) ).

fof(c_0_702,plain,
    ! [X48,X49,X50] :
      ( ~ class_Nat_Osemiring__char__0(X50)
      | c_Nat_Osemiring__1__class_Oof__nat(X49,X50) != c_Nat_Osemiring__1__class_Oof__nat(X48,X50)
      | X49 = X48 ),
    inference(variable_rename,[status(thm)],[c_0_464]) ).

fof(c_0_703,plain,
    ! [X44,X45,X46] :
      ( c_List_Orev(X45,X46) != c_List_Orev(X44,X46)
      | X45 = X44 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_465])])]) ).

fof(c_0_704,plain,
    ! [X44,X45] :
      ( c_Nat_Osize__class_Osize(X44,tc_List_Olist(X45)) != c_HOL_Ozero__class_Ozero(tc_nat)
      | X44 = c_List_Olist_ONil(X45) ),
    inference(variable_rename,[status(thm)],[c_0_466]) ).

fof(c_0_705,plain,
    ! [X6,X7] :
      ( class_Orderings_Opreorder(tc_fun(X6,X7))
      | ~ class_Orderings_Opreorder(X7) ),
    inference(variable_rename,[status(thm)],[c_0_467]) ).

fof(c_0_706,plain,
    ! [X6,X7] :
      ( class_Orderings_Oorder(tc_fun(X6,X7))
      | ~ class_Orderings_Oorder(X7) ),
    inference(variable_rename,[status(thm)],[c_0_468]) ).

fof(c_0_707,plain,
    ! [X44,X45] :
      ( c_List_Orev(X44,X45) != c_List_Olist_ONil(X45)
      | X44 = c_List_Olist_ONil(X45) ),
    inference(variable_rename,[status(thm)],[c_0_469]) ).

fof(c_0_708,plain,
    ! [X44,X45] :
      ( c_List_Orotate1(X44,X45) != c_List_Olist_ONil(X45)
      | X44 = c_List_Olist_ONil(X45) ),
    inference(variable_rename,[status(thm)],[c_0_470]) ).

fof(c_0_709,plain,
    ! [X44,X45] :
      ( c_List_Olist_ONil(X45) != c_List_Orev(X44,X45)
      | X44 = c_List_Olist_ONil(X45) ),
    inference(variable_rename,[status(thm)],[c_0_471]) ).

fof(c_0_710,plain,
    ! [X4] :
      ( ~ class_Ring__and__Field_Osemiring__1(X4)
      | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(variable_rename,[status(thm)],[c_0_472]) ).

fof(c_0_711,plain,
    ! [X39,X40] :
      ( c_Type_Otype_OAtom(X40) != c_Type_Otype_OAtom(X39)
      | X40 = X39 ),
    inference(variable_rename,[status(thm)],[c_0_473]) ).

fof(c_0_712,plain,
    ! [X59,X60] :
      ( c_Lambda_OdB_OAbs(X60) != c_Lambda_OdB_OAbs(X59)
      | X60 = X59 ),
    inference(variable_rename,[status(thm)],[c_0_474]) ).

fof(c_0_713,plain,
    ! [X39,X40] :
      ( c_Lambda_OdB_OVar(X40) != c_Lambda_OdB_OVar(X39)
      | X40 = X39 ),
    inference(variable_rename,[status(thm)],[c_0_475]) ).

cnf(c_0_714,plain,
    ( X7 = c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__types__1__1(X5,X7,X1,X4),X5,tc_Type_Otype,tc_Type_Otype)
    | ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4,tc_Lambda_OdB,tc_Lambda_OdB),X5)
    | ~ c_Type_Otypings(X1,X3,X6)
    | ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X7) ),
    inference(split_conjunct,[status(thm)],[c_0_476]) ).

cnf(c_0_715,plain,
    ( X3 = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X1,X2,X3),tc_Lambda_OdB,tc_Lambda_OdB)
    | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_477]) ).

cnf(c_0_716,plain,
    ( c_Type_Otypings(X1,X4,c_Type_Osko__Type__Xvar__app__types__1__1(X5,X7,X1,X4))
    | ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4,tc_Lambda_OdB,tc_Lambda_OdB),X5)
    | ~ c_Type_Otypings(X1,X3,X6)
    | ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X7) ),
    inference(split_conjunct,[status(thm)],[c_0_478]) ).

cnf(c_0_717,plain,
    ( c_ListOrder_Ostep1(c_Lambda_Obeta,X2,c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X1,X2,X3),tc_Lambda_OdB)
    | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_479]) ).

cnf(c_0_718,plain,
    ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X2,tc_Lambda_OdB,tc_Lambda_OdB)))
    | ~ c_ListOrder_Ostep1(c_Lambda_Obeta,X1,X2,tc_Lambda_OdB) ),
    inference(split_conjunct,[status(thm)],[c_0_480]) ).

cnf(c_0_719,plain,
    ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB)))
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_481]) ).

cnf(c_0_720,plain,
    ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB)))
    | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_482]) ).

cnf(c_0_721,plain,
    ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1)),X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)))
    | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat)),X3,tc_Lambda_OdB,tc_Lambda_OdB)))
    | ~ hBOOL(hAPP(c_InductTermi_OIT,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_483]) ).

cnf(c_0_722,plain,
    ( v_thesis____
    | ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),hAPP(hAPP(c_Type_Otype_OFun,X1),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)))
    | ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_484]) ).

cnf(c_0_723,plain,
    ( hBOOL(hAPP(X1,hAPP(hAPP(X2,X3),X4)))
    | ~ hBOOL(hAPP(X1,c_Lambda_OdB_OdB__case(X5,X2,X6,hAPP(hAPP(c_Lambda_OdB_OApp,X3),X4),t_a))) ),
    inference(split_conjunct,[status(thm)],[c_0_485]) ).

cnf(c_0_724,plain,
    ( hBOOL(hAPP(X1,hAPP(hAPP(X2,X3),X4)))
    | ~ hBOOL(hAPP(X1,c_Lambda_OdB_OdB__case(X5,X2,X6,hAPP(hAPP(c_Lambda_OdB_OApp,X3),X4),t_a))) ),
    inference(split_conjunct,[status(thm)],[c_0_486]) ).

cnf(c_0_725,plain,
    ( X4 = X5
    | ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4)
    | ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X5) ),
    inference(split_conjunct,[status(thm)],[c_0_487]) ).

cnf(c_0_726,plain,
    ( hBOOL(hAPP(X1,hAPP(X2,X3)))
    | ~ hBOOL(hAPP(X1,c_Lambda_OdB_OdB__case(X4,X5,X2,c_Lambda_OdB_OAbs(X3),t_a))) ),
    inference(split_conjunct,[status(thm)],[c_0_488]) ).

cnf(c_0_727,plain,
    ( hBOOL(hAPP(X1,hAPP(X2,X3)))
    | ~ hBOOL(hAPP(X1,c_Lambda_OdB_OdB__case(X4,X5,X2,c_Lambda_OdB_OAbs(X3),t_a))) ),
    inference(split_conjunct,[status(thm)],[c_0_489]) ).

cnf(c_0_728,plain,
    ( hBOOL(hAPP(X1,hAPP(X2,X3)))
    | ~ hBOOL(hAPP(X1,c_Lambda_OdB_OdB__case(X2,X4,X5,c_Lambda_OdB_OVar(X3),t_a))) ),
    inference(split_conjunct,[status(thm)],[c_0_490]) ).

cnf(c_0_729,plain,
    ( hBOOL(hAPP(X1,hAPP(X2,X3)))
    | ~ hBOOL(hAPP(X1,c_Lambda_OdB_OdB__case(X2,X4,X5,c_Lambda_OdB_OVar(X3),t_a))) ),
    inference(split_conjunct,[status(thm)],[c_0_491]) ).

cnf(c_0_730,plain,
    ( c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1)),X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)
    | ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),X2,tc_Lambda_OdB)
    | ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat)),X3,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB) ),
    inference(split_conjunct,[status(thm)],[c_0_492]) ).

cnf(c_0_731,plain,
    ( c_Type_Otyping(X1,c_Lambda_OdB_OVar(X2),c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__typesE__1__1(X4,X1,X2,X3),X4,tc_Type_Otype,tc_Type_Otype))
    | ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_493]) ).

cnf(c_0_732,plain,
    ( c_Type_Otyping(X1,X2,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeE__1__1(X4,X1,X2,X3),X4,tc_Type_Otype,tc_Type_Otype))
    | ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_494]) ).

cnf(c_0_733,plain,
    ( c_Type_Otyping(X1,X2,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeD__1__1(X4,X1,X2,X3),X4,tc_Type_Otype,tc_Type_Otype))
    | ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_495]) ).

cnf(c_0_734,plain,
    ( c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X5,tc_Lambda_OdB,tc_Lambda_OdB),X4)
    | ~ c_Type_Otyping(X1,X2,c_List_Ofoldr(c_Type_Otype_OFun,X3,X4,tc_Type_Otype,tc_Type_Otype))
    | ~ c_Type_Otypings(X1,X5,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_496]) ).

cnf(c_0_735,plain,
    ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X1,tc_Lambda_OdB,tc_Lambda_OdB)))
    | ~ c_List_Olistsp(c_InductTermi_OIT,X1,tc_Lambda_OdB) ),
    inference(split_conjunct,[status(thm)],[c_0_497]) ).

cnf(c_0_736,plain,
    ( c_Type_Otypings(X1,X3,c_Type_Osko__Type__Xvar__app__typesE__1__1(X4,X1,X2,X3))
    | ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_498]) ).

cnf(c_0_737,plain,
    ( c_Type_Otypings(X1,X3,c_Type_Osko__Type__Xlist__app__typeE__1__1(X4,X1,X2,X3))
    | ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_499]) ).

cnf(c_0_738,plain,
    ( c_Type_Otypings(X1,X3,c_Type_Osko__Type__Xlist__app__typeD__1__1(X4,X1,X2,X3))
    | ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_500]) ).

cnf(c_0_739,plain,
    ( X1 = X2
    | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X4),X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
    inference(split_conjunct,[status(thm)],[c_0_501]) ).

cnf(c_0_740,plain,
    ( X1 = X2
    | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X4,tc_Lambda_OdB,tc_Lambda_OdB) ),
    inference(split_conjunct,[status(thm)],[c_0_502]) ).

cnf(c_0_741,plain,
    ( X1 = X2
    | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
    inference(split_conjunct,[status(thm)],[c_0_503]) ).

cnf(c_0_742,plain,
    ( X1 = X2
    | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X4,tc_Lambda_OdB,tc_Lambda_OdB) ),
    inference(split_conjunct,[status(thm)],[c_0_504]) ).

cnf(c_0_743,plain,
    ( c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X4,X1,X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X1),X3,X4,X1,X1))
    | ~ class_OrderedGroup_Osemigroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_505]) ).

cnf(c_0_744,plain,
    ( X1 = X2
    | c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
    inference(split_conjunct,[status(thm)],[c_0_506]) ).

cnf(c_0_745,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1),X3,X1,X1)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X1),X2,X3,X1,X1)
    | ~ class_OrderedGroup_Omonoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_507]) ).

cnf(c_0_746,plain,
    ( c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X1),X2,X3,X1,X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X1),X3,c_HOL_Ozero__class_Ozero(X1),X1,X1))
    | ~ class_OrderedGroup_Omonoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_508]) ).

cnf(c_0_747,plain,
    ( X1 = c_List_Olist_OCons(X2,X3,X4)
    | c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X2,X3,X5,X1,X4),X1,X4) = X3
    | c_List_Oappend(X5,X1,X4) != c_List_Olist_OCons(X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_509]) ).

cnf(c_0_748,plain,
    ( c_List_Olist_OCons(X1,X2,X3) = X4
    | c_List_Olist_OCons(X1,c_List_Osko__List__XCons__eq__append__conv__1__1(X1,X2,X5,X4,X3),X3) = X5
    | c_List_Olist_OCons(X1,X2,X3) != c_List_Oappend(X5,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_510]) ).

cnf(c_0_749,plain,
    ( X1 = c_List_Olist_OCons(X2,X3,X4)
    | X5 = c_List_Olist_OCons(X2,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X2,X3,X5,X1,X4),X4)
    | c_List_Oappend(X5,X1,X4) != c_List_Olist_OCons(X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_511]) ).

cnf(c_0_750,plain,
    ( c_List_Olist_OCons(X1,X2,X3) = X4
    | X2 = c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(X1,X2,X5,X4,X3),X4,X3)
    | c_List_Olist_OCons(X1,X2,X3) != c_List_Oappend(X5,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_512]) ).

cnf(c_0_751,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | X3 = c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(X4,X3,X1,X5,X2),X5,X2)
    | c_List_Olist_OCons(X4,X3,X2) != c_List_Oappend(X1,X5,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_513]) ).

cnf(c_0_752,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | X1 = c_List_Olist_OCons(X3,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X3,X4,X1,X5,X2),X2)
    | c_List_Oappend(X1,X5,X2) != c_List_Olist_OCons(X3,X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_514]) ).

cnf(c_0_753,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X3,X4,X1,X5,X2),X5,X2) = X4
    | c_List_Oappend(X1,X5,X2) != c_List_Olist_OCons(X3,X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_515]) ).

cnf(c_0_754,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Olist_OCons(X3,c_List_Osko__List__XCons__eq__append__conv__1__1(X3,X4,X1,X5,X2),X2) = X1
    | c_List_Olist_OCons(X3,X4,X2) != c_List_Oappend(X1,X5,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_516]) ).

cnf(c_0_755,plain,
    ( c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1),X2,X1,X1) = c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X1),X2,c_HOL_Ozero__class_Ozero(X1),X1,X1)
    | ~ class_OrderedGroup_Omonoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_517]) ).

cnf(c_0_756,plain,
    ( c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X1),X2,X3,X1,X1) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X1),X3,X2,X1,X1)
    | ~ class_OrderedGroup_Oab__semigroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_518]) ).

cnf(c_0_757,plain,
    ( c_Type_Otyping(X1,X2,hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(X4,X1,X2,X3)),X4))
    | ~ c_Type_Otyping(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_519]) ).

cnf(c_0_758,plain,
    ( hBOOL(hAPP(X1,hAPP(hAPP(X2,X3),X4)))
    | ~ hBOOL(hAPP(X1,c_Type_Otype_Otype__case(X5,X2,hAPP(hAPP(c_Type_Otype_OFun,X3),X4),t_a))) ),
    inference(split_conjunct,[status(thm)],[c_0_520]) ).

cnf(c_0_759,plain,
    ( hBOOL(hAPP(X1,hAPP(hAPP(X2,X3),X4)))
    | ~ hBOOL(hAPP(X1,c_Type_Otype_Otype__case(X5,X2,hAPP(hAPP(c_Type_Otype_OFun,X3),X4),t_a))) ),
    inference(split_conjunct,[status(thm)],[c_0_521]) ).

cnf(c_0_760,plain,
    ( hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) = X3
    | hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) != c_List_Ofoldl(c_Lambda_OdB_OApp,X3,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ),
    inference(split_conjunct,[status(thm)],[c_0_522]) ).

cnf(c_0_761,plain,
    ( c_Lambda_OdB_OAbs(X1) = X2
    | c_Lambda_OdB_OAbs(X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
    inference(split_conjunct,[status(thm)],[c_0_523]) ).

cnf(c_0_762,plain,
    ( c_Lambda_OdB_OVar(X1) = X2
    | c_Lambda_OdB_OVar(X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
    inference(split_conjunct,[status(thm)],[c_0_524]) ).

cnf(c_0_763,plain,
    ( X1 = c_Lambda_OdB_OAbs(X2)
    | c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_525]) ).

cnf(c_0_764,plain,
    ( X1 = c_List_Olist_ONil(tc_Lambda_OdB)
    | c_Lambda_OdB_OVar(X2) != c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB) ),
    inference(split_conjunct,[status(thm)],[c_0_526]) ).

cnf(c_0_765,plain,
    ( X1 = c_List_Olist_ONil(tc_Lambda_OdB)
    | c_Lambda_OdB_OAbs(X2) != c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB) ),
    inference(split_conjunct,[status(thm)],[c_0_527]) ).

cnf(c_0_766,plain,
    ( X1 = c_List_Olist_ONil(tc_Lambda_OdB)
    | c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_528]) ).

cnf(c_0_767,plain,
    ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X4),X3))
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(X1,X2,X2),X2),X3),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_529]) ).

cnf(c_0_768,plain,
    ( c_ListOrder_Ostep1(X1,X2,X5,X4)
    | hBOOL(hAPP(hAPP(X1,X3),X6))
    | ~ c_ListOrder_Ostep1(X1,c_List_Oappend(X2,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X5,c_List_Olist_OCons(X6,c_List_Olist_ONil(X4),X4),X4),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_530]) ).

cnf(c_0_769,plain,
    ( c_ListOrder_Ostep1(X1,X2,X5,X4)
    | X2 = X5
    | ~ c_ListOrder_Ostep1(X1,c_List_Oappend(X2,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X5,c_List_Olist_OCons(X6,c_List_Olist_ONil(X4),X4),X4),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_531]) ).

cnf(c_0_770,plain,
    ( hBOOL(hAPP(X1,hAPP(X2,X3)))
    | ~ hBOOL(hAPP(X1,c_Type_Otype_Otype__case(X2,X4,c_Type_Otype_OAtom(X3),t_a))) ),
    inference(split_conjunct,[status(thm)],[c_0_532]) ).

cnf(c_0_771,plain,
    ( hBOOL(hAPP(X1,hAPP(X2,X3)))
    | ~ hBOOL(hAPP(X1,c_Type_Otype_Otype__case(X2,X4,c_Type_Otype_OAtom(X3),t_a))) ),
    inference(split_conjunct,[status(thm)],[c_0_533]) ).

cnf(c_0_772,plain,
    ( X3 = X6
    | hBOOL(hAPP(hAPP(X1,X3),X6))
    | ~ c_ListOrder_Ostep1(X1,c_List_Oappend(X2,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X5,c_List_Olist_OCons(X6,c_List_Olist_ONil(X4),X4),X4),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_534]) ).

cnf(c_0_773,plain,
    ( X3 = X6
    | X2 = X5
    | ~ c_ListOrder_Ostep1(X1,c_List_Oappend(X2,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X5,c_List_Olist_OCons(X6,c_List_Olist_ONil(X4),X4),X4),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_535]) ).

cnf(c_0_774,plain,
    ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(X1,X2,X2),X2),X4),X3))
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_536]) ).

cnf(c_0_775,plain,
    ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X1,X6,X3)))
    | ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
    | ~ c_Type_Otyping(c_Type_Oshift(X2,X3,X4,tc_Type_Otype),X1,X5)
    | ~ hBOOL(hAPP(c_InductTermi_OIT,X6))
    | ~ c_Type_Otyping(X2,X6,X4)
    | v_T____ != hAPP(hAPP(c_Type_Otype_OFun,X7),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_537]) ).

cnf(c_0_776,plain,
    ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X1,X6,X3)))
    | ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
    | ~ c_Type_Otyping(c_Type_Oshift(X2,X3,X4,tc_Type_Otype),X1,X5)
    | ~ hBOOL(hAPP(c_InductTermi_OIT,X6))
    | ~ c_Type_Otyping(X2,X6,X4)
    | v_T____ != hAPP(hAPP(c_Type_Otype_OFun,X4),X7) ),
    inference(split_conjunct,[status(thm)],[c_0_538]) ).

cnf(c_0_777,plain,
    ( c_Type_Otyping(X1,c_Lambda_Osubst(X2,X3,X4),X5)
    | ~ c_Type_Otyping(c_Type_Oshift(X1,X4,X6,tc_Type_Otype),X2,X5)
    | ~ c_Type_Otyping(X1,X3,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_539]) ).

cnf(c_0_778,plain,
    ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3)),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X4)))
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2))
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X3),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_540]) ).

cnf(c_0_779,plain,
    ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(X1,X3,X4)),c_Lambda_Osubst(X2,X3,X4)))
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_541]) ).

cnf(c_0_780,plain,
    ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(X3,X1,X4)),c_Lambda_Osubst(X3,X2,X4)))
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_542]) ).

cnf(c_0_781,plain,
    ( hBOOL(hAPP(hAPP(X1,X2),X5))
    | c_ListOrder_Ostep1(X1,X3,X6,X4)
    | ~ c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X4),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_543]) ).

cnf(c_0_782,plain,
    ( c_Type_Otyping(X1,c_Lambda_OdB_OAbs(X3),hAPP(hAPP(c_Type_Otype_OFun,X2),X4))
    | ~ c_Type_Otyping(c_Type_Oshift(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_Type_Otype),X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_544]) ).

cnf(c_0_783,plain,
    ( X6 = X3
    | c_ListOrder_Ostep1(X1,X3,X6,X4)
    | ~ c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X4),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_545]) ).

cnf(c_0_784,plain,
    ( c_Type_Otyping(c_Type_Oshift(X1,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Osko__Type__Xtyping__elims__3__1(X3,X1,X2),tc_Type_Otype),X2,c_Type_Osko__Type__Xtyping__elims__3__2(X3,X1,X2))
    | ~ c_Type_Otyping(X1,c_Lambda_OdB_OAbs(X2),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_546]) ).

cnf(c_0_785,plain,
    ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(X3,X1,X4)),c_Lambda_Osubst(X3,X2,X4)))
    | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_547]) ).

cnf(c_0_786,plain,
    ( hBOOL(hAPP(hAPP(X1,X5),X4))
    | ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X1,X2,X3),X4),X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_548]) ).

cnf(c_0_787,plain,
    ( hBOOL(hAPP(hAPP(X1,X5),X4))
    | ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X1,X2,X3),X4),X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_549]) ).

cnf(c_0_788,plain,
    ( c_ListOrder_Ostep1(X1,c_List_Oappend(X5,X2,X4),c_List_Oappend(X5,X3,X4),X4)
    | ~ c_ListOrder_Ostep1(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_550]) ).

cnf(c_0_789,plain,
    ( c_ListOrder_Ostep1(X1,c_List_Oappend(X2,X3,X4),c_List_Oappend(X5,X3,X4),X4)
    | ~ c_ListOrder_Ostep1(X1,X2,X5,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_551]) ).

cnf(c_0_790,plain,
    ( c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X5,X2,X4),c_List_Olist_OCons(X5,X3,X4),X4)
    | ~ c_ListOrder_Ostep1(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_552]) ).

cnf(c_0_791,plain,
    ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3)),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)))
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_553]) ).

cnf(c_0_792,plain,
    ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1)),hAPP(hAPP(c_Lambda_OdB_OApp,X3),X2)))
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_554]) ).

cnf(c_0_793,plain,
    ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Osubst(X1,X3,X4)),c_Lambda_Osubst(X2,X3,X4)))
    | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_555]) ).

cnf(c_0_794,plain,
    ( hBOOL(hAPP(hAPP(X1,X2),X5))
    | X5 = X2
    | ~ c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X4),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_556]) ).

cnf(c_0_795,plain,
    ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X5))
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X4),X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_557]) ).

cnf(c_0_796,plain,
    ( c_Type_Otyping(X1,X3,c_Type_Osko__Type__Xtyping__elims__2__1(X4,X1,X2,X3))
    | ~ c_Type_Otyping(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_558]) ).

cnf(c_0_797,plain,
    ( X6 = X3
    | X5 = X2
    | ~ c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X4),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_559]) ).

cnf(c_0_798,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X5)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X5))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_560]) ).

cnf(c_0_799,plain,
    ( c_Type_Otyping(c_Type_Oshift(X1,X4,X5,tc_Type_Otype),c_Lambda_Olift(X2,X4),X3)
    | ~ c_Type_Otyping(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_561]) ).

cnf(c_0_800,plain,
    ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X1,X4,X5),X3),X2))
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_562]) ).

cnf(c_0_801,plain,
    ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X1,X4,X5),X3),X2))
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_563]) ).

cnf(c_0_802,plain,
    ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1)),hAPP(hAPP(c_Lambda_OdB_OApp,X3),X2)))
    | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_564]) ).

cnf(c_0_803,plain,
    ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3)),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)))
    | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_565]) ).

cnf(c_0_804,plain,
    ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X4),X2),X5))
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X4),X3),X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_566]) ).

cnf(c_0_805,plain,
    ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X5))
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))
    | ~ hBOOL(hAPP(hAPP(X1,X4),X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_567]) ).

cnf(c_0_806,plain,
    ( hAPP(c_Type_Oshift(X3,X2,X4,X5),X1) = hAPP(X3,X1)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_568]) ).

cnf(c_0_807,plain,
    ( c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X3,X4),X4)
    | ~ hBOOL(hAPP(hAPP(X1,X2),X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_569]) ).

cnf(c_0_808,plain,
    ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Olift(X1,X3)),c_Lambda_Olift(X2,X3)))
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_570]) ).

cnf(c_0_809,plain,
    ( X1 = X2
    | c_List_Oappend(X1,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X2,c_List_Olist_OCons(X5,c_List_Olist_ONil(X4),X4),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_571]) ).

cnf(c_0_810,plain,
    ( X1 = X2
    | c_List_Oappend(X3,c_List_Olist_OCons(X1,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X5,c_List_Olist_OCons(X2,c_List_Olist_ONil(X4),X4),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_572]) ).

cnf(c_0_811,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_573]) ).

cnf(c_0_812,plain,
    ( c_HOL_Oord__class_Oless(X2,X4,X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_574]) ).

cnf(c_0_813,plain,
    ( c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_575]) ).

cnf(c_0_814,plain,
    ( X3 = hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__3__1(X3,X1,X2)),c_Type_Osko__Type__Xtyping__elims__3__2(X3,X1,X2))
    | ~ c_Type_Otyping(X1,c_Lambda_OdB_OAbs(X2),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_576]) ).

cnf(c_0_815,plain,
    ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_OdB_OAbs(X1)),c_Lambda_OdB_OAbs(X2)))
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_577]) ).

cnf(c_0_816,plain,
    ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X1),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X2),X5),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_578]) ).

cnf(c_0_817,plain,
    ( c_Wellfounded_Oaccp(X1,X4,X3)
    | ~ c_Wellfounded_Oaccp(X1,X2,X3)
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X3),X4),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_579]) ).

cnf(c_0_818,plain,
    ( c_Wellfounded_Oaccp(X1,X3,X2)
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))
    | ~ c_Wellfounded_Oaccp(X1,X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_580]) ).

cnf(c_0_819,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_581]) ).

cnf(c_0_820,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_582]) ).

cnf(c_0_821,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
    | ~ class_OrderedGroup_Oab__semigroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_583]) ).

cnf(c_0_822,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_584]) ).

cnf(c_0_823,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_585]) ).

cnf(c_0_824,plain,
    ( c_Type_Otyping(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X5),X4)
    | ~ c_Type_Otyping(X1,X2,hAPP(hAPP(c_Type_Otype_OFun,X3),X4))
    | ~ c_Type_Otyping(X1,X5,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_586]) ).

cnf(c_0_825,plain,
    ( c_Type_Otyping(X3,X2,X4)
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2))
    | ~ c_Type_Otyping(X3,X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_587]) ).

cnf(c_0_826,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) = X4
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X5),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X5),X4)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_588]) ).

cnf(c_0_827,plain,
    ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_589]) ).

cnf(c_0_828,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_590]) ).

cnf(c_0_829,plain,
    ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X1),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X2),X4),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_591]) ).

cnf(c_0_830,plain,
    ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X1),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X2),X4),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_592]) ).

cnf(c_0_831,plain,
    ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X2),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_593]) ).

cnf(c_0_832,plain,
    ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X2),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_594]) ).

cnf(c_0_833,plain,
    ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Olift(X1,X3)),c_Lambda_Olift(X2,X3)))
    | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_595]) ).

cnf(c_0_834,plain,
    ( c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_596]) ).

cnf(c_0_835,plain,
    ( c_List_Olistsp(X1,c_List_Oappend(X2,X4,X3),X3)
    | ~ c_List_Olistsp(X1,X2,X3)
    | ~ c_List_Olistsp(X1,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_597]) ).

cnf(c_0_836,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_598]) ).

cnf(c_0_837,plain,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_599]) ).

cnf(c_0_838,plain,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_600]) ).

cnf(c_0_839,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_601]) ).

cnf(c_0_840,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_602]) ).

cnf(c_0_841,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_603]) ).

cnf(c_0_842,plain,
    ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X4),X2),X3))
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_604]) ).

cnf(c_0_843,plain,
    ( c_List_Olistsp(X1,X3,X4)
    | ~ c_List_Olistsp(X1,c_List_Oappend(X2,X3,X4),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_605]) ).

cnf(c_0_844,plain,
    ( c_List_Olistsp(X1,X2,X4)
    | ~ c_List_Olistsp(X1,c_List_Oappend(X2,X3,X4),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_606]) ).

cnf(c_0_845,plain,
    ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X1,c_Lambda_OdB_OVar(X2),X3)))
    | ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_607]) ).

cnf(c_0_846,plain,
    ( X1 = c_List_Oappend(c_List_Orev(X2,X3),c_List_Olist_OCons(X4,c_List_Olist_ONil(X3),X3),X3)
    | c_List_Orev(X1,X3) != c_List_Olist_OCons(X4,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_608]) ).

cnf(c_0_847,plain,
    ( c_List_Otake(X1,c_List_Obutlast(X2,X3),X3) = c_List_Otake(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_609]) ).

cnf(c_0_848,plain,
    ( c_Wellfounded_Oaccp(X1,X4,X3)
    | ~ c_Wellfounded_Oaccp(X1,X2,X3)
    | ~ hBOOL(hAPP(hAPP(X1,X4),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_610]) ).

cnf(c_0_849,plain,
    ( c_Wellfounded_Oaccp(X1,X4,X3)
    | ~ c_Wellfounded_Oaccp(X1,X2,X3)
    | ~ hBOOL(hAPP(hAPP(X1,X4),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_611]) ).

cnf(c_0_850,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_612]) ).

cnf(c_0_851,plain,
    ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X1),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_613]) ).

cnf(c_0_852,plain,
    ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X1),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_614]) ).

cnf(c_0_853,plain,
    ( hBOOL(hAPP(c_InductTermi_OIT,X1))
    | ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),X1,tc_Lambda_OdB) ),
    inference(split_conjunct,[status(thm)],[c_0_615]) ).

cnf(c_0_854,plain,
    ( c_Type_Otyping(X1,X4,X3)
    | ~ c_Type_Otyping(X1,X2,X3)
    | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X2),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_616]) ).

cnf(c_0_855,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Oappend(c_List_Obutlast(X1,X2),c_List_Olist_OCons(c_List_Olast(X1,X2),c_List_Olist_ONil(X2),X2),X2) = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_617]) ).

cnf(c_0_856,plain,
    ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,X1),c_Lambda_OdB_OVar(X2))))
    | ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_618]) ).

cnf(c_0_857,plain,
    ( c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_619]) ).

cnf(c_0_858,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_620]) ).

cnf(c_0_859,plain,
    ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(X1)),c_Lambda_OdB_OAbs(X2)))
    | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_621]) ).

cnf(c_0_860,plain,
    ( c_HOL_Oord__class_Oless(X1,X3,tc_nat)
    | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_Nat_Osemiring__1__class_Oof__nat(X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_622]) ).

cnf(c_0_861,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Obutlast(c_List_Olist_OCons(X3,X1,X2),X2) = c_List_Olist_OCons(X3,c_List_Obutlast(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_623]) ).

cnf(c_0_862,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Obutlast(c_List_Oappend(X3,X1,X2),X2) = c_List_Oappend(X3,c_List_Obutlast(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_624]) ).

cnf(c_0_863,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_625]) ).

cnf(c_0_864,plain,
    ( c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X3),c_Nat_Osemiring__1__class_Oof__nat(X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_626]) ).

cnf(c_0_865,plain,
    ( c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),X1,tc_Lambda_OdB)
    | ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_627]) ).

cnf(c_0_866,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
    | hBOOL(hAPP(hAPP(X3,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_628]) ).

cnf(c_0_867,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_629]) ).

cnf(c_0_868,plain,
    ( X1 = X2
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X2)
    | ~ class_Int_Onumber__ring(X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_630]) ).

cnf(c_0_869,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_631]) ).

cnf(c_0_870,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_632]) ).

cnf(c_0_871,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_633]) ).

cnf(c_0_872,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_634]) ).

cnf(c_0_873,plain,
    ( X1 = c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3)
    | c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3) != c_List_Orev(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_635]) ).

cnf(c_0_874,plain,
    ( X1 = c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3)
    | c_List_Orev(X1,X3) != c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_636]) ).

cnf(c_0_875,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | X2 = X3
    | c_List_Oreplicate(X1,X2,X4) != c_List_Oreplicate(X5,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_637]) ).

cnf(c_0_876,plain,
    ( X1 = X2
    | c_List_Oreplicate(X1,X3,X4) != c_List_Oreplicate(X2,X5,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_638]) ).

cnf(c_0_877,plain,
    ( X1 = X2
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X2)
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_639]) ).

cnf(c_0_878,plain,
    ( X1 = X2
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X2)
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_640]) ).

cnf(c_0_879,plain,
    ( X1 = X2
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X1),X4) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X2),X4)
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_641]) ).

cnf(c_0_880,plain,
    ( X1 = X2
    | c_List_Oappend(X1,X3,X4) != c_List_Oappend(X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_642]) ).

cnf(c_0_881,plain,
    ( X1 = X2
    | c_List_Oappend(X3,X1,X4) != c_List_Oappend(X3,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_643]) ).

cnf(c_0_882,plain,
    ( X1 = X2
    | c_List_Olist_OCons(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_644]) ).

cnf(c_0_883,plain,
    ( X1 = X2
    | c_List_Olist_OCons(X3,X1,X4) != c_List_Olist_OCons(X5,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_645]) ).

cnf(c_0_884,plain,
    ( X2 = X3
    | ~ hBOOL(hAPP(hAPP(c_fequal(X1),X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_646]) ).

cnf(c_0_885,plain,
    ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X3,X2) = c_Lambda_OdB_OVar(X1)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_647]) ).

cnf(c_0_886,plain,
    ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_648]) ).

cnf(c_0_887,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Olast(c_List_Olist_OCons(X3,X1,X2),X2) = c_List_Olast(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_649]) ).

cnf(c_0_888,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Olast(c_List_Oappend(X3,X1,X2),X2) = c_List_Olast(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_650]) ).

cnf(c_0_889,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_List_Olast(c_List_Oreplicate(X1,X2,X3),X3) = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_651]) ).

cnf(c_0_890,plain,
    ( hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X1,X3))
    | c_Type_Osko__Type__Xtype__induct__1__1(X1) != hAPP(hAPP(c_Type_Otype_OFun,X4),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_652]) ).

cnf(c_0_891,plain,
    ( hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X1,X3))
    | c_Type_Osko__Type__Xtype__induct__1__1(X1) != hAPP(hAPP(c_Type_Otype_OFun,X2),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_653]) ).

cnf(c_0_892,plain,
    ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Olift(X1,X2)))
    | ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_654]) ).

cnf(c_0_893,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | X2 = X1
    | c_Lambda_Osubst(c_Lambda_OdB_OVar(X2),X3,X1) = c_Lambda_OdB_OVar(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_655]) ).

cnf(c_0_894,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_656]) ).

cnf(c_0_895,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | X1 = X2
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_657]) ).

cnf(c_0_896,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_658]) ).

cnf(c_0_897,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_659]) ).

cnf(c_0_898,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | X2 = X1
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_660]) ).

cnf(c_0_899,plain,
    ( X1 = X2
    | hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X4),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_661]) ).

cnf(c_0_900,plain,
    ( X1 = X2
    | hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_662]) ).

cnf(c_0_901,plain,
    ( X1 = X2
    | hAPP(hAPP(c_Type_Otype_OFun,X1),X3) != hAPP(hAPP(c_Type_Otype_OFun,X2),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_663]) ).

cnf(c_0_902,plain,
    ( X1 = X2
    | hAPP(hAPP(c_Type_Otype_OFun,X3),X1) != hAPP(hAPP(c_Type_Otype_OFun,X4),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_664]) ).

cnf(c_0_903,plain,
    ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X1) = X2
    | c_HOL_Oord__class_Oless(X1,X1,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_665]) ).

cnf(c_0_904,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_666]) ).

cnf(c_0_905,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_667]) ).

cnf(c_0_906,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_668]) ).

cnf(c_0_907,plain,
    ( hAPP(X1,X2) = X3
    | ~ c_Type_Otyping(X1,c_Lambda_OdB_OVar(X2),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_669]) ).

cnf(c_0_908,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_670]) ).

cnf(c_0_909,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_671]) ).

cnf(c_0_910,plain,
    ( c_Lambda_Olift(c_Lambda_OdB_OVar(X1),X2) = c_Lambda_OdB_OVar(X1)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_672]) ).

cnf(c_0_911,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_673]) ).

cnf(c_0_912,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | X2 = c_List_Olist_ONil(X3)
    | c_List_Otake(X1,X2,X3) != c_List_Olist_ONil(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_674]) ).

cnf(c_0_913,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X1) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_675]) ).

cnf(c_0_914,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_676]) ).

cnf(c_0_915,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X1,c_Type_Osko__Type__Xtype__induct__1__1(X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_677]) ).

cnf(c_0_916,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Olist_ONil(X2) != c_List_Oappend(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_678]) ).

cnf(c_0_917,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Olist_ONil(X2) != c_List_Oappend(X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_679]) ).

cnf(c_0_918,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Oappend(X1,X3,X2) != c_List_Olist_ONil(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_680]) ).

cnf(c_0_919,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Oappend(X3,X1,X2) != c_List_Olist_ONil(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_681]) ).

cnf(c_0_920,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_List_Oreplicate(X1,X2,X3) != c_List_Olist_ONil(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_682]) ).

cnf(c_0_921,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_List_Olist_ONil(X2) != c_List_Oreplicate(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_683]) ).

cnf(c_0_922,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_684]) ).

cnf(c_0_923,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_685]) ).

cnf(c_0_924,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Opreorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_686]) ).

cnf(c_0_925,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Oappend(X3,X1,X2) != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_687]) ).

cnf(c_0_926,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | X3 != c_List_Oappend(X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_688]) ).

cnf(c_0_927,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Oappend(X1,X3,X2) != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_689]) ).

cnf(c_0_928,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | X3 != c_List_Oappend(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_690]) ).

cnf(c_0_929,plain,
    ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(X1)))
    | ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_691]) ).

cnf(c_0_930,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_692]) ).

cnf(c_0_931,plain,
    ( X1 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),c_HOL_Ozero__class_Ozero(X2))
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_693]) ).

cnf(c_0_932,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_694]) ).

cnf(c_0_933,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = X2
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_695]) ).

cnf(c_0_934,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = X2
    | ~ class_OrderedGroup_Omonoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_696]) ).

cnf(c_0_935,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_697]) ).

cnf(c_0_936,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = X2
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_698]) ).

cnf(c_0_937,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = X2
    | ~ class_OrderedGroup_Omonoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_699]) ).

cnf(c_0_938,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_700]) ).

cnf(c_0_939,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_701]) ).

cnf(c_0_940,plain,
    ( X1 = X2
    | c_Nat_Osemiring__1__class_Oof__nat(X1,X3) != c_Nat_Osemiring__1__class_Oof__nat(X2,X3)
    | ~ class_Nat_Osemiring__char__0(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_702]) ).

cnf(c_0_941,plain,
    ( X1 = X2
    | c_List_Orev(X1,X3) != c_List_Orev(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_703]) ).

cnf(c_0_942,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)) != c_HOL_Ozero__class_Ozero(tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_704]) ).

cnf(c_0_943,plain,
    ( class_Orderings_Opreorder(tc_fun(X2,X1))
    | ~ class_Orderings_Opreorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_705]) ).

cnf(c_0_944,plain,
    ( class_Orderings_Oorder(tc_fun(X2,X1))
    | ~ class_Orderings_Oorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_706]) ).

cnf(c_0_945,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Orev(X1,X2) != c_List_Olist_ONil(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_707]) ).

cnf(c_0_946,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Orotate1(X1,X2) != c_List_Olist_ONil(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_708]) ).

cnf(c_0_947,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Olist_ONil(X2) != c_List_Orev(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_709]) ).

cnf(c_0_948,plain,
    ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_710]) ).

cnf(c_0_949,plain,
    ( X1 = X2
    | c_Type_Otype_OAtom(X1) != c_Type_Otype_OAtom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_711]) ).

cnf(c_0_950,plain,
    ( X1 = X2
    | c_Lambda_OdB_OAbs(X1) != c_Lambda_OdB_OAbs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_712]) ).

cnf(c_0_951,plain,
    ( X1 = X2
    | c_Lambda_OdB_OVar(X1) != c_Lambda_OdB_OVar(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_713]) ).

cnf(c_0_952,plain,
    ( c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__types__1__1(X5,X7,X1,X4),X5,tc_Type_Otype,tc_Type_Otype) = X7
    | ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4,tc_Lambda_OdB,tc_Lambda_OdB),X5)
    | ~ c_Type_Otypings(X1,X3,X6)
    | ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X7) ),
    c_0_714,
    [final] ).

cnf(c_0_953,plain,
    ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X1,X2,X3),tc_Lambda_OdB,tc_Lambda_OdB) = X3
    | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)),X3)) ),
    c_0_715,
    [final] ).

cnf(c_0_954,plain,
    ( c_Type_Otypings(X1,X4,c_Type_Osko__Type__Xvar__app__types__1__1(X5,X7,X1,X4))
    | ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4,tc_Lambda_OdB,tc_Lambda_OdB),X5)
    | ~ c_Type_Otypings(X1,X3,X6)
    | ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X7) ),
    c_0_716,
    [final] ).

cnf(c_0_955,plain,
    ( c_ListOrder_Ostep1(c_Lambda_Obeta,X2,c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X1,X2,X3),tc_Lambda_OdB)
    | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)),X3)) ),
    c_0_717,
    [final] ).

cnf(c_0_956,plain,
    ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X2,tc_Lambda_OdB,tc_Lambda_OdB)))
    | ~ c_ListOrder_Ostep1(c_Lambda_Obeta,X1,X2,tc_Lambda_OdB) ),
    c_0_718,
    [final] ).

cnf(c_0_957,plain,
    ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB)))
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2)) ),
    c_0_719,
    [final] ).

cnf(c_0_958,plain,
    ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB)))
    | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2)) ),
    c_0_720,
    [final] ).

cnf(c_0_959,plain,
    ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1)),X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)))
    | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat)),X3,tc_Lambda_OdB,tc_Lambda_OdB)))
    | ~ hBOOL(hAPP(c_InductTermi_OIT,X2)) ),
    c_0_721,
    [final] ).

cnf(c_0_960,plain,
    ( v_thesis____
    | ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),hAPP(hAPP(c_Type_Otype_OFun,X1),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)))
    | ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,X1) ),
    c_0_722,
    [final] ).

cnf(c_0_961,plain,
    ( hBOOL(hAPP(X1,hAPP(hAPP(X2,X3),X4)))
    | ~ hBOOL(hAPP(X1,c_Lambda_OdB_OdB__case(X5,X2,X6,hAPP(hAPP(c_Lambda_OdB_OApp,X3),X4),t_a))) ),
    c_0_723,
    [final] ).

cnf(c_0_962,plain,
    ( hBOOL(hAPP(X1,hAPP(hAPP(X2,X3),X4)))
    | ~ hBOOL(hAPP(X1,c_Lambda_OdB_OdB__case(X5,X2,X6,hAPP(hAPP(c_Lambda_OdB_OApp,X3),X4),t_a))) ),
    c_0_724,
    [final] ).

cnf(c_0_963,plain,
    ( X4 = X5
    | ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4)
    | ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X5) ),
    c_0_725,
    [final] ).

cnf(c_0_964,plain,
    ( hBOOL(hAPP(X1,hAPP(X2,X3)))
    | ~ hBOOL(hAPP(X1,c_Lambda_OdB_OdB__case(X4,X5,X2,c_Lambda_OdB_OAbs(X3),t_a))) ),
    c_0_726,
    [final] ).

cnf(c_0_965,plain,
    ( hBOOL(hAPP(X1,hAPP(X2,X3)))
    | ~ hBOOL(hAPP(X1,c_Lambda_OdB_OdB__case(X4,X5,X2,c_Lambda_OdB_OAbs(X3),t_a))) ),
    c_0_727,
    [final] ).

cnf(c_0_966,plain,
    ( hBOOL(hAPP(X1,hAPP(X2,X3)))
    | ~ hBOOL(hAPP(X1,c_Lambda_OdB_OdB__case(X2,X4,X5,c_Lambda_OdB_OVar(X3),t_a))) ),
    c_0_728,
    [final] ).

cnf(c_0_967,plain,
    ( hBOOL(hAPP(X1,hAPP(X2,X3)))
    | ~ hBOOL(hAPP(X1,c_Lambda_OdB_OdB__case(X2,X4,X5,c_Lambda_OdB_OVar(X3),t_a))) ),
    c_0_729,
    [final] ).

cnf(c_0_968,plain,
    ( c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1)),X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)
    | ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),X2,tc_Lambda_OdB)
    | ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat)),X3,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB) ),
    c_0_730,
    [final] ).

cnf(c_0_969,plain,
    ( c_Type_Otyping(X1,c_Lambda_OdB_OVar(X2),c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__typesE__1__1(X4,X1,X2,X3),X4,tc_Type_Otype,tc_Type_Otype))
    | ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4) ),
    c_0_731,
    [final] ).

cnf(c_0_970,plain,
    ( c_Type_Otyping(X1,X2,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeE__1__1(X4,X1,X2,X3),X4,tc_Type_Otype,tc_Type_Otype))
    | ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB),X4) ),
    c_0_732,
    [final] ).

cnf(c_0_971,plain,
    ( c_Type_Otyping(X1,X2,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeD__1__1(X4,X1,X2,X3),X4,tc_Type_Otype,tc_Type_Otype))
    | ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB),X4) ),
    c_0_733,
    [final] ).

cnf(c_0_972,plain,
    ( c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X5,tc_Lambda_OdB,tc_Lambda_OdB),X4)
    | ~ c_Type_Otyping(X1,X2,c_List_Ofoldr(c_Type_Otype_OFun,X3,X4,tc_Type_Otype,tc_Type_Otype))
    | ~ c_Type_Otypings(X1,X5,X3) ),
    c_0_734,
    [final] ).

cnf(c_0_973,plain,
    ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X1,tc_Lambda_OdB,tc_Lambda_OdB)))
    | ~ c_List_Olistsp(c_InductTermi_OIT,X1,tc_Lambda_OdB) ),
    c_0_735,
    [final] ).

cnf(c_0_974,plain,
    ( c_Type_Otypings(X1,X3,c_Type_Osko__Type__Xvar__app__typesE__1__1(X4,X1,X2,X3))
    | ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4) ),
    c_0_736,
    [final] ).

cnf(c_0_975,plain,
    ( c_Type_Otypings(X1,X3,c_Type_Osko__Type__Xlist__app__typeE__1__1(X4,X1,X2,X3))
    | ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB),X4) ),
    c_0_737,
    [final] ).

cnf(c_0_976,plain,
    ( c_Type_Otypings(X1,X3,c_Type_Osko__Type__Xlist__app__typeD__1__1(X4,X1,X2,X3))
    | ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB),X4) ),
    c_0_738,
    [final] ).

cnf(c_0_977,plain,
    ( X1 = X2
    | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X4),X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
    c_0_739,
    [final] ).

cnf(c_0_978,plain,
    ( X1 = X2
    | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X4,tc_Lambda_OdB,tc_Lambda_OdB) ),
    c_0_740,
    [final] ).

cnf(c_0_979,plain,
    ( X1 = X2
    | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
    c_0_741,
    [final] ).

cnf(c_0_980,plain,
    ( X1 = X2
    | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X4,tc_Lambda_OdB,tc_Lambda_OdB) ),
    c_0_742,
    [final] ).

cnf(c_0_981,plain,
    ( c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X4,X1,X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X1),X3,X4,X1,X1))
    | ~ class_OrderedGroup_Osemigroup__add(X1) ),
    c_0_743,
    [final] ).

cnf(c_0_982,plain,
    ( X1 = X2
    | c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
    c_0_744,
    [final] ).

cnf(c_0_983,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1),X3,X1,X1)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X1),X2,X3,X1,X1)
    | ~ class_OrderedGroup_Omonoid__add(X1) ),
    c_0_745,
    [final] ).

cnf(c_0_984,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X1),X3,c_HOL_Ozero__class_Ozero(X1),X1,X1)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X1),X2,X3,X1,X1)
    | ~ class_OrderedGroup_Omonoid__add(X1) ),
    c_0_746,
    [final] ).

cnf(c_0_985,plain,
    ( X1 = c_List_Olist_OCons(X2,X3,X4)
    | c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X2,X3,X5,X1,X4),X1,X4) = X3
    | c_List_Oappend(X5,X1,X4) != c_List_Olist_OCons(X2,X3,X4) ),
    c_0_747,
    [final] ).

cnf(c_0_986,plain,
    ( c_List_Olist_OCons(X1,X2,X3) = X4
    | c_List_Olist_OCons(X1,c_List_Osko__List__XCons__eq__append__conv__1__1(X1,X2,X5,X4,X3),X3) = X5
    | c_List_Olist_OCons(X1,X2,X3) != c_List_Oappend(X5,X4,X3) ),
    c_0_748,
    [final] ).

cnf(c_0_987,plain,
    ( X1 = c_List_Olist_OCons(X2,X3,X4)
    | c_List_Olist_OCons(X2,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X2,X3,X5,X1,X4),X4) = X5
    | c_List_Oappend(X5,X1,X4) != c_List_Olist_OCons(X2,X3,X4) ),
    c_0_749,
    [final] ).

cnf(c_0_988,plain,
    ( c_List_Olist_OCons(X1,X2,X3) = X4
    | c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(X1,X2,X5,X4,X3),X4,X3) = X2
    | c_List_Olist_OCons(X1,X2,X3) != c_List_Oappend(X5,X4,X3) ),
    c_0_750,
    [final] ).

cnf(c_0_989,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(X4,X3,X1,X5,X2),X5,X2) = X3
    | c_List_Olist_OCons(X4,X3,X2) != c_List_Oappend(X1,X5,X2) ),
    c_0_751,
    [final] ).

cnf(c_0_990,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Olist_OCons(X3,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X3,X4,X1,X5,X2),X2) = X1
    | c_List_Oappend(X1,X5,X2) != c_List_Olist_OCons(X3,X4,X2) ),
    c_0_752,
    [final] ).

cnf(c_0_991,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X3,X4,X1,X5,X2),X5,X2) = X4
    | c_List_Oappend(X1,X5,X2) != c_List_Olist_OCons(X3,X4,X2) ),
    c_0_753,
    [final] ).

cnf(c_0_992,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Olist_OCons(X3,c_List_Osko__List__XCons__eq__append__conv__1__1(X3,X4,X1,X5,X2),X2) = X1
    | c_List_Olist_OCons(X3,X4,X2) != c_List_Oappend(X1,X5,X2) ),
    c_0_754,
    [final] ).

cnf(c_0_993,plain,
    ( c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1),X2,X1,X1) = c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X1),X2,c_HOL_Ozero__class_Ozero(X1),X1,X1)
    | ~ class_OrderedGroup_Omonoid__add(X1) ),
    c_0_755,
    [final] ).

cnf(c_0_994,plain,
    ( c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X1),X3,X2,X1,X1) = c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X1),X2,X3,X1,X1)
    | ~ class_OrderedGroup_Oab__semigroup__add(X1) ),
    c_0_756,
    [final] ).

cnf(c_0_995,plain,
    ( c_Type_Otyping(X1,X2,hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(X4,X1,X2,X3)),X4))
    | ~ c_Type_Otyping(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3),X4) ),
    c_0_757,
    [final] ).

cnf(c_0_996,plain,
    ( hBOOL(hAPP(X1,hAPP(hAPP(X2,X3),X4)))
    | ~ hBOOL(hAPP(X1,c_Type_Otype_Otype__case(X5,X2,hAPP(hAPP(c_Type_Otype_OFun,X3),X4),t_a))) ),
    c_0_758,
    [final] ).

cnf(c_0_997,plain,
    ( hBOOL(hAPP(X1,hAPP(hAPP(X2,X3),X4)))
    | ~ hBOOL(hAPP(X1,c_Type_Otype_Otype__case(X5,X2,hAPP(hAPP(c_Type_Otype_OFun,X3),X4),t_a))) ),
    c_0_759,
    [final] ).

cnf(c_0_998,plain,
    ( hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) = X3
    | hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) != c_List_Ofoldl(c_Lambda_OdB_OApp,X3,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ),
    c_0_760,
    [final] ).

cnf(c_0_999,plain,
    ( c_Lambda_OdB_OAbs(X1) = X2
    | c_Lambda_OdB_OAbs(X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
    c_0_761,
    [final] ).

cnf(c_0_1000,plain,
    ( c_Lambda_OdB_OVar(X1) = X2
    | c_Lambda_OdB_OVar(X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
    c_0_762,
    [final] ).

cnf(c_0_1001,plain,
    ( X1 = c_Lambda_OdB_OAbs(X2)
    | c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2) ),
    c_0_763,
    [final] ).

cnf(c_0_1002,plain,
    ( X1 = c_List_Olist_ONil(tc_Lambda_OdB)
    | c_Lambda_OdB_OVar(X2) != c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB) ),
    c_0_764,
    [final] ).

cnf(c_0_1003,plain,
    ( X1 = c_List_Olist_ONil(tc_Lambda_OdB)
    | c_Lambda_OdB_OAbs(X2) != c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB) ),
    c_0_765,
    [final] ).

cnf(c_0_1004,plain,
    ( X1 = c_List_Olist_ONil(tc_Lambda_OdB)
    | c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X3) ),
    c_0_766,
    [final] ).

cnf(c_0_1005,plain,
    ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X4),X3))
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(X1,X2,X2),X2),X3),X4)) ),
    c_0_767,
    [final] ).

cnf(c_0_1006,plain,
    ( c_ListOrder_Ostep1(X1,X2,X5,X4)
    | hBOOL(hAPP(hAPP(X1,X3),X6))
    | ~ c_ListOrder_Ostep1(X1,c_List_Oappend(X2,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X5,c_List_Olist_OCons(X6,c_List_Olist_ONil(X4),X4),X4),X4) ),
    c_0_768,
    [final] ).

cnf(c_0_1007,plain,
    ( c_ListOrder_Ostep1(X1,X2,X5,X4)
    | X2 = X5
    | ~ c_ListOrder_Ostep1(X1,c_List_Oappend(X2,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X5,c_List_Olist_OCons(X6,c_List_Olist_ONil(X4),X4),X4),X4) ),
    c_0_769,
    [final] ).

cnf(c_0_1008,plain,
    ( hBOOL(hAPP(X1,hAPP(X2,X3)))
    | ~ hBOOL(hAPP(X1,c_Type_Otype_Otype__case(X2,X4,c_Type_Otype_OAtom(X3),t_a))) ),
    c_0_770,
    [final] ).

cnf(c_0_1009,plain,
    ( hBOOL(hAPP(X1,hAPP(X2,X3)))
    | ~ hBOOL(hAPP(X1,c_Type_Otype_Otype__case(X2,X4,c_Type_Otype_OAtom(X3),t_a))) ),
    c_0_771,
    [final] ).

cnf(c_0_1010,plain,
    ( X3 = X6
    | hBOOL(hAPP(hAPP(X1,X3),X6))
    | ~ c_ListOrder_Ostep1(X1,c_List_Oappend(X2,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X5,c_List_Olist_OCons(X6,c_List_Olist_ONil(X4),X4),X4),X4) ),
    c_0_772,
    [final] ).

cnf(c_0_1011,plain,
    ( X3 = X6
    | X2 = X5
    | ~ c_ListOrder_Ostep1(X1,c_List_Oappend(X2,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X5,c_List_Olist_OCons(X6,c_List_Olist_ONil(X4),X4),X4),X4) ),
    c_0_773,
    [final] ).

cnf(c_0_1012,plain,
    ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(X1,X2,X2),X2),X4),X3))
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4)) ),
    c_0_774,
    [final] ).

cnf(c_0_1013,plain,
    ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X1,X6,X3)))
    | ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
    | ~ c_Type_Otyping(c_Type_Oshift(X2,X3,X4,tc_Type_Otype),X1,X5)
    | ~ hBOOL(hAPP(c_InductTermi_OIT,X6))
    | ~ c_Type_Otyping(X2,X6,X4)
    | hAPP(hAPP(c_Type_Otype_OFun,X7),X4) != v_T____ ),
    c_0_775,
    [final] ).

cnf(c_0_1014,plain,
    ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X1,X6,X3)))
    | ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
    | ~ c_Type_Otyping(c_Type_Oshift(X2,X3,X4,tc_Type_Otype),X1,X5)
    | ~ hBOOL(hAPP(c_InductTermi_OIT,X6))
    | ~ c_Type_Otyping(X2,X6,X4)
    | hAPP(hAPP(c_Type_Otype_OFun,X4),X7) != v_T____ ),
    c_0_776,
    [final] ).

cnf(c_0_1015,plain,
    ( c_Type_Otyping(X1,c_Lambda_Osubst(X2,X3,X4),X5)
    | ~ c_Type_Otyping(c_Type_Oshift(X1,X4,X6,tc_Type_Otype),X2,X5)
    | ~ c_Type_Otyping(X1,X3,X6) ),
    c_0_777,
    [final] ).

cnf(c_0_1016,plain,
    ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3)),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X4)))
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2))
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X3),X4)) ),
    c_0_778,
    [final] ).

cnf(c_0_1017,plain,
    ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(X1,X3,X4)),c_Lambda_Osubst(X2,X3,X4)))
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2)) ),
    c_0_779,
    [final] ).

cnf(c_0_1018,plain,
    ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(X3,X1,X4)),c_Lambda_Osubst(X3,X2,X4)))
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2)) ),
    c_0_780,
    [final] ).

cnf(c_0_1019,plain,
    ( hBOOL(hAPP(hAPP(X1,X2),X5))
    | c_ListOrder_Ostep1(X1,X3,X6,X4)
    | ~ c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X4),X4) ),
    c_0_781,
    [final] ).

cnf(c_0_1020,plain,
    ( c_Type_Otyping(X1,c_Lambda_OdB_OAbs(X3),hAPP(hAPP(c_Type_Otype_OFun,X2),X4))
    | ~ c_Type_Otyping(c_Type_Oshift(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_Type_Otype),X3,X4) ),
    c_0_782,
    [final] ).

cnf(c_0_1021,plain,
    ( X6 = X3
    | c_ListOrder_Ostep1(X1,X3,X6,X4)
    | ~ c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X4),X4) ),
    c_0_783,
    [final] ).

cnf(c_0_1022,plain,
    ( c_Type_Otyping(c_Type_Oshift(X1,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Osko__Type__Xtyping__elims__3__1(X3,X1,X2),tc_Type_Otype),X2,c_Type_Osko__Type__Xtyping__elims__3__2(X3,X1,X2))
    | ~ c_Type_Otyping(X1,c_Lambda_OdB_OAbs(X2),X3) ),
    c_0_784,
    [final] ).

cnf(c_0_1023,plain,
    ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(X3,X1,X4)),c_Lambda_Osubst(X3,X2,X4)))
    | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2)) ),
    c_0_785,
    [final] ).

cnf(c_0_1024,plain,
    ( hBOOL(hAPP(hAPP(X1,X5),X4))
    | ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X1,X2,X3),X4),X5)) ),
    c_0_786,
    [final] ).

cnf(c_0_1025,plain,
    ( hBOOL(hAPP(hAPP(X1,X5),X4))
    | ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X1,X2,X3),X4),X5)) ),
    c_0_787,
    [final] ).

cnf(c_0_1026,plain,
    ( c_ListOrder_Ostep1(X1,c_List_Oappend(X5,X2,X4),c_List_Oappend(X5,X3,X4),X4)
    | ~ c_ListOrder_Ostep1(X1,X2,X3,X4) ),
    c_0_788,
    [final] ).

cnf(c_0_1027,plain,
    ( c_ListOrder_Ostep1(X1,c_List_Oappend(X2,X3,X4),c_List_Oappend(X5,X3,X4),X4)
    | ~ c_ListOrder_Ostep1(X1,X2,X5,X4) ),
    c_0_789,
    [final] ).

cnf(c_0_1028,plain,
    ( c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X5,X2,X4),c_List_Olist_OCons(X5,X3,X4),X4)
    | ~ c_ListOrder_Ostep1(X1,X2,X3,X4) ),
    c_0_790,
    [final] ).

cnf(c_0_1029,plain,
    ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3)),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)))
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2)) ),
    c_0_791,
    [final] ).

cnf(c_0_1030,plain,
    ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1)),hAPP(hAPP(c_Lambda_OdB_OApp,X3),X2)))
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2)) ),
    c_0_792,
    [final] ).

cnf(c_0_1031,plain,
    ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Osubst(X1,X3,X4)),c_Lambda_Osubst(X2,X3,X4)))
    | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2)) ),
    c_0_793,
    [final] ).

cnf(c_0_1032,plain,
    ( hBOOL(hAPP(hAPP(X1,X2),X5))
    | X5 = X2
    | ~ c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X4),X4) ),
    c_0_794,
    [final] ).

cnf(c_0_1033,plain,
    ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X5))
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X4),X5)) ),
    c_0_795,
    [final] ).

cnf(c_0_1034,plain,
    ( c_Type_Otyping(X1,X3,c_Type_Osko__Type__Xtyping__elims__2__1(X4,X1,X2,X3))
    | ~ c_Type_Otyping(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3),X4) ),
    c_0_796,
    [final] ).

cnf(c_0_1035,plain,
    ( X6 = X3
    | X5 = X2
    | ~ c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X4),X4) ),
    c_0_797,
    [final] ).

cnf(c_0_1036,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X5)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X5))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_798,
    [final] ).

cnf(c_0_1037,plain,
    ( c_Type_Otyping(c_Type_Oshift(X1,X4,X5,tc_Type_Otype),c_Lambda_Olift(X2,X4),X3)
    | ~ c_Type_Otyping(X1,X2,X3) ),
    c_0_799,
    [final] ).

cnf(c_0_1038,plain,
    ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X1,X4,X5),X3),X2))
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
    c_0_800,
    [final] ).

cnf(c_0_1039,plain,
    ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X1,X4,X5),X3),X2))
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
    c_0_801,
    [final] ).

cnf(c_0_1040,plain,
    ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1)),hAPP(hAPP(c_Lambda_OdB_OApp,X3),X2)))
    | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2)) ),
    c_0_802,
    [final] ).

cnf(c_0_1041,plain,
    ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3)),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)))
    | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2)) ),
    c_0_803,
    [final] ).

cnf(c_0_1042,plain,
    ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X4),X2),X5))
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X4),X3),X5)) ),
    c_0_804,
    [final] ).

cnf(c_0_1043,plain,
    ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X5))
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))
    | ~ hBOOL(hAPP(hAPP(X1,X4),X5)) ),
    c_0_805,
    [final] ).

cnf(c_0_1044,plain,
    ( hAPP(c_Type_Oshift(X3,X2,X4,X5),X1) = hAPP(X3,X1)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    c_0_806,
    [final] ).

cnf(c_0_1045,plain,
    ( c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X3,X4),X4)
    | ~ hBOOL(hAPP(hAPP(X1,X2),X5)) ),
    c_0_807,
    [final] ).

cnf(c_0_1046,plain,
    ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Olift(X1,X3)),c_Lambda_Olift(X2,X3)))
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2)) ),
    c_0_808,
    [final] ).

cnf(c_0_1047,plain,
    ( X1 = X2
    | c_List_Oappend(X1,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X2,c_List_Olist_OCons(X5,c_List_Olist_ONil(X4),X4),X4) ),
    c_0_809,
    [final] ).

cnf(c_0_1048,plain,
    ( X1 = X2
    | c_List_Oappend(X3,c_List_Olist_OCons(X1,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X5,c_List_Olist_OCons(X2,c_List_Olist_ONil(X4),X4),X4) ),
    c_0_810,
    [final] ).

cnf(c_0_1049,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_811,
    [final] ).

cnf(c_0_1050,plain,
    ( c_HOL_Oord__class_Oless(X2,X4,X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    c_0_812,
    [final] ).

cnf(c_0_1051,plain,
    ( c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    c_0_813,
    [final] ).

cnf(c_0_1052,plain,
    ( hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__3__1(X3,X1,X2)),c_Type_Osko__Type__Xtyping__elims__3__2(X3,X1,X2)) = X3
    | ~ c_Type_Otyping(X1,c_Lambda_OdB_OAbs(X2),X3) ),
    c_0_814,
    [final] ).

cnf(c_0_1053,plain,
    ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_OdB_OAbs(X1)),c_Lambda_OdB_OAbs(X2)))
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2)) ),
    c_0_815,
    [final] ).

cnf(c_0_1054,plain,
    ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X1),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X2),X5),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    c_0_816,
    [final] ).

cnf(c_0_1055,plain,
    ( c_Wellfounded_Oaccp(X1,X4,X3)
    | ~ c_Wellfounded_Oaccp(X1,X2,X3)
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X3),X4),X2)) ),
    c_0_817,
    [final] ).

cnf(c_0_1056,plain,
    ( c_Wellfounded_Oaccp(X1,X3,X2)
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))
    | ~ c_Wellfounded_Oaccp(X1,X4,X2) ),
    c_0_818,
    [final] ).

cnf(c_0_1057,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_819,
    [final] ).

cnf(c_0_1058,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    c_0_820,
    [final] ).

cnf(c_0_1059,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
    | ~ class_OrderedGroup_Oab__semigroup__add(X1) ),
    c_0_821,
    [final] ).

cnf(c_0_1060,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_822,
    [final] ).

cnf(c_0_1061,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_823,
    [final] ).

cnf(c_0_1062,plain,
    ( c_Type_Otyping(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X5),X4)
    | ~ c_Type_Otyping(X1,X2,hAPP(hAPP(c_Type_Otype_OFun,X3),X4))
    | ~ c_Type_Otyping(X1,X5,X3) ),
    c_0_824,
    [final] ).

cnf(c_0_1063,plain,
    ( c_Type_Otyping(X3,X2,X4)
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2))
    | ~ c_Type_Otyping(X3,X1,X4) ),
    c_0_825,
    [final] ).

cnf(c_0_1064,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) = X4
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X5),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X5),X4)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    c_0_826,
    [final] ).

cnf(c_0_1065,plain,
    ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    c_0_827,
    [final] ).

cnf(c_0_1066,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    c_0_828,
    [final] ).

cnf(c_0_1067,plain,
    ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X1),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X2),X4),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    c_0_829,
    [final] ).

cnf(c_0_1068,plain,
    ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X1),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X2),X4),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    c_0_830,
    [final] ).

cnf(c_0_1069,plain,
    ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X2),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    c_0_831,
    [final] ).

cnf(c_0_1070,plain,
    ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X2),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    c_0_832,
    [final] ).

cnf(c_0_1071,plain,
    ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Olift(X1,X3)),c_Lambda_Olift(X2,X3)))
    | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2)) ),
    c_0_833,
    [final] ).

cnf(c_0_1072,plain,
    ( c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_834,
    [final] ).

cnf(c_0_1073,plain,
    ( c_List_Olistsp(X1,c_List_Oappend(X2,X4,X3),X3)
    | ~ c_List_Olistsp(X1,X2,X3)
    | ~ c_List_Olistsp(X1,X4,X3) ),
    c_0_835,
    [final] ).

cnf(c_0_1074,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    c_0_836,
    [final] ).

cnf(c_0_1075,plain,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    c_0_837,
    [final] ).

cnf(c_0_1076,plain,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_838,
    [final] ).

cnf(c_0_1077,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    c_0_839,
    [final] ).

cnf(c_0_1078,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    c_0_840,
    [final] ).

cnf(c_0_1079,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_841,
    [final] ).

cnf(c_0_1080,plain,
    ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X4),X2),X3))
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
    c_0_842,
    [final] ).

cnf(c_0_1081,plain,
    ( c_List_Olistsp(X1,X3,X4)
    | ~ c_List_Olistsp(X1,c_List_Oappend(X2,X3,X4),X4) ),
    c_0_843,
    [final] ).

cnf(c_0_1082,plain,
    ( c_List_Olistsp(X1,X2,X4)
    | ~ c_List_Olistsp(X1,c_List_Oappend(X2,X3,X4),X4) ),
    c_0_844,
    [final] ).

cnf(c_0_1083,plain,
    ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X1,c_Lambda_OdB_OVar(X2),X3)))
    | ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
    c_0_845,
    [final] ).

cnf(c_0_1084,plain,
    ( X1 = c_List_Oappend(c_List_Orev(X2,X3),c_List_Olist_OCons(X4,c_List_Olist_ONil(X3),X3),X3)
    | c_List_Orev(X1,X3) != c_List_Olist_OCons(X4,X2,X3) ),
    c_0_846,
    [final] ).

cnf(c_0_1085,plain,
    ( c_List_Otake(X1,c_List_Obutlast(X2,X3),X3) = c_List_Otake(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat) ),
    c_0_847,
    [final] ).

cnf(c_0_1086,plain,
    ( c_Wellfounded_Oaccp(X1,X4,X3)
    | ~ c_Wellfounded_Oaccp(X1,X2,X3)
    | ~ hBOOL(hAPP(hAPP(X1,X4),X2)) ),
    c_0_848,
    [final] ).

cnf(c_0_1087,plain,
    ( c_Wellfounded_Oaccp(X1,X4,X3)
    | ~ c_Wellfounded_Oaccp(X1,X2,X3)
    | ~ hBOOL(hAPP(hAPP(X1,X4),X2)) ),
    c_0_849,
    [final] ).

cnf(c_0_1088,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    c_0_850,
    [final] ).

cnf(c_0_1089,plain,
    ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X1),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    c_0_851,
    [final] ).

cnf(c_0_1090,plain,
    ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X1),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    c_0_852,
    [final] ).

cnf(c_0_1091,plain,
    ( hBOOL(hAPP(c_InductTermi_OIT,X1))
    | ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),X1,tc_Lambda_OdB) ),
    c_0_853,
    [final] ).

cnf(c_0_1092,plain,
    ( c_Type_Otyping(X1,X4,X3)
    | ~ c_Type_Otyping(X1,X2,X3)
    | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X2),X4)) ),
    c_0_854,
    [final] ).

cnf(c_0_1093,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Oappend(c_List_Obutlast(X1,X2),c_List_Olist_OCons(c_List_Olast(X1,X2),c_List_Olist_ONil(X2),X2),X2) = X1 ),
    c_0_855,
    [final] ).

cnf(c_0_1094,plain,
    ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,X1),c_Lambda_OdB_OVar(X2))))
    | ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
    c_0_856,
    [final] ).

cnf(c_0_1095,plain,
    ( c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_857,
    [final] ).

cnf(c_0_1096,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    c_0_858,
    [final] ).

cnf(c_0_1097,plain,
    ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(X1)),c_Lambda_OdB_OAbs(X2)))
    | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2)) ),
    c_0_859,
    [final] ).

cnf(c_0_1098,plain,
    ( c_HOL_Oord__class_Oless(X1,X3,tc_nat)
    | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_Nat_Osemiring__1__class_Oof__nat(X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    c_0_860,
    [final] ).

cnf(c_0_1099,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Olist_OCons(X3,c_List_Obutlast(X1,X2),X2) = c_List_Obutlast(c_List_Olist_OCons(X3,X1,X2),X2) ),
    c_0_861,
    [final] ).

cnf(c_0_1100,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Oappend(X3,c_List_Obutlast(X1,X2),X2) = c_List_Obutlast(c_List_Oappend(X3,X1,X2),X2) ),
    c_0_862,
    [final] ).

cnf(c_0_1101,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_863,
    [final] ).

cnf(c_0_1102,plain,
    ( c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X3),c_Nat_Osemiring__1__class_Oof__nat(X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
    c_0_864,
    [final] ).

cnf(c_0_1103,plain,
    ( c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),X1,tc_Lambda_OdB)
    | ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
    c_0_865,
    [final] ).

cnf(c_0_1104,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
    | hBOOL(hAPP(hAPP(X3,X2),X1)) ),
    c_0_866,
    [final] ).

cnf(c_0_1105,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    c_0_867,
    [final] ).

cnf(c_0_1106,plain,
    ( X1 = X2
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X2)
    | ~ class_Int_Onumber__ring(X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    c_0_868,
    [final] ).

cnf(c_0_1107,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_869,
    [final] ).

cnf(c_0_1108,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_870,
    [final] ).

cnf(c_0_1109,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    c_0_871,
    [final] ).

cnf(c_0_1110,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    c_0_872,
    [final] ).

cnf(c_0_1111,plain,
    ( X1 = c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3)
    | c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3) != c_List_Orev(X1,X3) ),
    c_0_873,
    [final] ).

cnf(c_0_1112,plain,
    ( X1 = c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3)
    | c_List_Orev(X1,X3) != c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3) ),
    c_0_874,
    [final] ).

cnf(c_0_1113,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | X2 = X3
    | c_List_Oreplicate(X1,X2,X4) != c_List_Oreplicate(X5,X3,X4) ),
    c_0_875,
    [final] ).

cnf(c_0_1114,plain,
    ( X1 = X2
    | c_List_Oreplicate(X1,X3,X4) != c_List_Oreplicate(X2,X5,X4) ),
    c_0_876,
    [final] ).

cnf(c_0_1115,plain,
    ( X1 = X2
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X2)
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X3) ),
    c_0_877,
    [final] ).

cnf(c_0_1116,plain,
    ( X1 = X2
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X2)
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
    c_0_878,
    [final] ).

cnf(c_0_1117,plain,
    ( X1 = X2
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X1),X4) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X2),X4)
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
    c_0_879,
    [final] ).

cnf(c_0_1118,plain,
    ( X1 = X2
    | c_List_Oappend(X1,X3,X4) != c_List_Oappend(X2,X3,X4) ),
    c_0_880,
    [final] ).

cnf(c_0_1119,plain,
    ( X1 = X2
    | c_List_Oappend(X3,X1,X4) != c_List_Oappend(X3,X2,X4) ),
    c_0_881,
    [final] ).

cnf(c_0_1120,plain,
    ( X1 = X2
    | c_List_Olist_OCons(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4) ),
    c_0_882,
    [final] ).

cnf(c_0_1121,plain,
    ( X1 = X2
    | c_List_Olist_OCons(X3,X1,X4) != c_List_Olist_OCons(X5,X2,X4) ),
    c_0_883,
    [final] ).

cnf(c_0_1122,plain,
    ( X2 = X3
    | ~ hBOOL(hAPP(hAPP(c_fequal(X1),X2),X3)) ),
    c_0_884,
    [final] ).

cnf(c_0_1123,plain,
    ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X3,X2) = c_Lambda_OdB_OVar(X1)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    c_0_885,
    [final] ).

cnf(c_0_1124,plain,
    ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    c_0_886,
    [final] ).

cnf(c_0_1125,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Olast(c_List_Olist_OCons(X3,X1,X2),X2) = c_List_Olast(X1,X2) ),
    c_0_887,
    [final] ).

cnf(c_0_1126,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Olast(c_List_Oappend(X3,X1,X2),X2) = c_List_Olast(X1,X2) ),
    c_0_888,
    [final] ).

cnf(c_0_1127,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_List_Olast(c_List_Oreplicate(X1,X2,X3),X3) = X2 ),
    c_0_889,
    [final] ).

cnf(c_0_1128,plain,
    ( hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X1,X3))
    | c_Type_Osko__Type__Xtype__induct__1__1(X1) != hAPP(hAPP(c_Type_Otype_OFun,X4),X2) ),
    c_0_890,
    [final] ).

cnf(c_0_1129,plain,
    ( hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X1,X3))
    | c_Type_Osko__Type__Xtype__induct__1__1(X1) != hAPP(hAPP(c_Type_Otype_OFun,X2),X4) ),
    c_0_891,
    [final] ).

cnf(c_0_1130,plain,
    ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Olift(X1,X2)))
    | ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
    c_0_892,
    [final] ).

cnf(c_0_1131,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | X2 = X1
    | c_Lambda_Osubst(c_Lambda_OdB_OVar(X2),X3,X1) = c_Lambda_OdB_OVar(X2) ),
    c_0_893,
    [final] ).

cnf(c_0_1132,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    c_0_894,
    [final] ).

cnf(c_0_1133,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | X1 = X2
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_895,
    [final] ).

cnf(c_0_1134,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_896,
    [final] ).

cnf(c_0_1135,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_897,
    [final] ).

cnf(c_0_1136,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | X2 = X1
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_898,
    [final] ).

cnf(c_0_1137,plain,
    ( X1 = X2
    | hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X4),X2) ),
    c_0_899,
    [final] ).

cnf(c_0_1138,plain,
    ( X1 = X2
    | hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X4) ),
    c_0_900,
    [final] ).

cnf(c_0_1139,plain,
    ( X1 = X2
    | hAPP(hAPP(c_Type_Otype_OFun,X1),X3) != hAPP(hAPP(c_Type_Otype_OFun,X2),X4) ),
    c_0_901,
    [final] ).

cnf(c_0_1140,plain,
    ( X1 = X2
    | hAPP(hAPP(c_Type_Otype_OFun,X3),X1) != hAPP(hAPP(c_Type_Otype_OFun,X4),X2) ),
    c_0_902,
    [final] ).

cnf(c_0_1141,plain,
    ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X1) = X2
    | c_HOL_Oord__class_Oless(X1,X1,tc_nat) ),
    c_0_903,
    [final] ).

cnf(c_0_1142,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_904,
    [final] ).

cnf(c_0_1143,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    c_0_905,
    [final] ).

cnf(c_0_1144,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_906,
    [final] ).

cnf(c_0_1145,plain,
    ( hAPP(X1,X2) = X3
    | ~ c_Type_Otyping(X1,c_Lambda_OdB_OVar(X2),X3) ),
    c_0_907,
    [final] ).

cnf(c_0_1146,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
    c_0_908,
    [final] ).

cnf(c_0_1147,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
    c_0_909,
    [final] ).

cnf(c_0_1148,plain,
    ( c_Lambda_Olift(c_Lambda_OdB_OVar(X1),X2) = c_Lambda_OdB_OVar(X1)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    c_0_910,
    [final] ).

cnf(c_0_1149,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1) != X3
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    c_0_911,
    [final] ).

cnf(c_0_1150,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | X2 = c_List_Olist_ONil(X3)
    | c_List_Otake(X1,X2,X3) != c_List_Olist_ONil(X3) ),
    c_0_912,
    [final] ).

cnf(c_0_1151,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X1) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    c_0_913,
    [final] ).

cnf(c_0_1152,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
    c_0_914,
    [final] ).

cnf(c_0_1153,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X1,c_Type_Osko__Type__Xtype__induct__1__1(X1))) ),
    c_0_915,
    [final] ).

cnf(c_0_1154,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Oappend(X1,X3,X2) != c_List_Olist_ONil(X2) ),
    c_0_916,
    [final] ).

cnf(c_0_1155,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Oappend(X3,X1,X2) != c_List_Olist_ONil(X2) ),
    c_0_917,
    [final] ).

cnf(c_0_1156,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Oappend(X1,X3,X2) != c_List_Olist_ONil(X2) ),
    c_0_918,
    [final] ).

cnf(c_0_1157,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Oappend(X3,X1,X2) != c_List_Olist_ONil(X2) ),
    c_0_919,
    [final] ).

cnf(c_0_1158,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_List_Oreplicate(X1,X2,X3) != c_List_Olist_ONil(X3) ),
    c_0_920,
    [final] ).

cnf(c_0_1159,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_List_Oreplicate(X1,X3,X2) != c_List_Olist_ONil(X2) ),
    c_0_921,
    [final] ).

cnf(c_0_1160,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    c_0_922,
    [final] ).

cnf(c_0_1161,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    c_0_923,
    [final] ).

cnf(c_0_1162,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Opreorder(X2) ),
    c_0_924,
    [final] ).

cnf(c_0_1163,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Oappend(X3,X1,X2) != X3 ),
    c_0_925,
    [final] ).

cnf(c_0_1164,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Oappend(X3,X1,X2) != X3 ),
    c_0_926,
    [final] ).

cnf(c_0_1165,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Oappend(X1,X3,X2) != X3 ),
    c_0_927,
    [final] ).

cnf(c_0_1166,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Oappend(X1,X3,X2) != X3 ),
    c_0_928,
    [final] ).

cnf(c_0_1167,plain,
    ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(X1)))
    | ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
    c_0_929,
    [final] ).

cnf(c_0_1168,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    c_0_930,
    [final] ).

cnf(c_0_1169,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),c_HOL_Ozero__class_Ozero(X2)) = X1
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    c_0_931,
    [final] ).

cnf(c_0_1170,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_932,
    [final] ).

cnf(c_0_1171,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = X2
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    c_0_933,
    [final] ).

cnf(c_0_1172,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = X2
    | ~ class_OrderedGroup_Omonoid__add(X1) ),
    c_0_934,
    [final] ).

cnf(c_0_1173,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_935,
    [final] ).

cnf(c_0_1174,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = X2
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    c_0_936,
    [final] ).

cnf(c_0_1175,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = X2
    | ~ class_OrderedGroup_Omonoid__add(X1) ),
    c_0_937,
    [final] ).

cnf(c_0_1176,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_938,
    [final] ).

cnf(c_0_1177,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
    c_0_939,
    [final] ).

cnf(c_0_1178,plain,
    ( X1 = X2
    | c_Nat_Osemiring__1__class_Oof__nat(X1,X3) != c_Nat_Osemiring__1__class_Oof__nat(X2,X3)
    | ~ class_Nat_Osemiring__char__0(X3) ),
    c_0_940,
    [final] ).

cnf(c_0_1179,plain,
    ( X1 = X2
    | c_List_Orev(X1,X3) != c_List_Orev(X2,X3) ),
    c_0_941,
    [final] ).

cnf(c_0_1180,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)) != c_HOL_Ozero__class_Ozero(tc_nat) ),
    c_0_942,
    [final] ).

cnf(c_0_1181,plain,
    ( class_Orderings_Opreorder(tc_fun(X2,X1))
    | ~ class_Orderings_Opreorder(X1) ),
    c_0_943,
    [final] ).

cnf(c_0_1182,plain,
    ( class_Orderings_Oorder(tc_fun(X2,X1))
    | ~ class_Orderings_Oorder(X1) ),
    c_0_944,
    [final] ).

cnf(c_0_1183,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Orev(X1,X2) != c_List_Olist_ONil(X2) ),
    c_0_945,
    [final] ).

cnf(c_0_1184,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Orotate1(X1,X2) != c_List_Olist_ONil(X2) ),
    c_0_946,
    [final] ).

cnf(c_0_1185,plain,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Orev(X1,X2) != c_List_Olist_ONil(X2) ),
    c_0_947,
    [final] ).

cnf(c_0_1186,plain,
    ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    c_0_948,
    [final] ).

cnf(c_0_1187,plain,
    ( X1 = X2
    | c_Type_Otype_OAtom(X1) != c_Type_Otype_OAtom(X2) ),
    c_0_949,
    [final] ).

cnf(c_0_1188,plain,
    ( X1 = X2
    | c_Lambda_OdB_OAbs(X1) != c_Lambda_OdB_OAbs(X2) ),
    c_0_950,
    [final] ).

cnf(c_0_1189,plain,
    ( X1 = X2
    | c_Lambda_OdB_OVar(X1) != c_Lambda_OdB_OVar(X2) ),
    c_0_951,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_952_0,axiom,
    ( c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__types__1__1(X5,X7,X1,X4),X5,tc_Type_Otype,tc_Type_Otype) = X7
    | ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4,tc_Lambda_OdB,tc_Lambda_OdB),X5)
    | ~ c_Type_Otypings(X1,X3,X6)
    | ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X7) ),
    inference(literals_permutation,[status(thm)],[c_0_952]) ).

cnf(c_0_952_1,axiom,
    ( ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4,tc_Lambda_OdB,tc_Lambda_OdB),X5)
    | c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__types__1__1(X5,X7,X1,X4),X5,tc_Type_Otype,tc_Type_Otype) = X7
    | ~ c_Type_Otypings(X1,X3,X6)
    | ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X7) ),
    inference(literals_permutation,[status(thm)],[c_0_952]) ).

cnf(c_0_952_2,axiom,
    ( ~ c_Type_Otypings(X1,X3,X6)
    | ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4,tc_Lambda_OdB,tc_Lambda_OdB),X5)
    | c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__types__1__1(X5,X7,X1,X4),X5,tc_Type_Otype,tc_Type_Otype) = X7
    | ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X7) ),
    inference(literals_permutation,[status(thm)],[c_0_952]) ).

cnf(c_0_952_3,axiom,
    ( ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X7)
    | ~ c_Type_Otypings(X1,X3,X6)
    | ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4,tc_Lambda_OdB,tc_Lambda_OdB),X5)
    | c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__types__1__1(X5,X7,X1,X4),X5,tc_Type_Otype,tc_Type_Otype) = X7 ),
    inference(literals_permutation,[status(thm)],[c_0_952]) ).

cnf(c_0_953_0,axiom,
    ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X1,X2,X3),tc_Lambda_OdB,tc_Lambda_OdB) = X3
    | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_953]) ).

cnf(c_0_953_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)),X3))
    | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X1,X2,X3),tc_Lambda_OdB,tc_Lambda_OdB) = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_953]) ).

cnf(c_0_954_0,axiom,
    ( c_Type_Otypings(X1,X4,c_Type_Osko__Type__Xvar__app__types__1__1(X5,X7,X1,X4))
    | ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4,tc_Lambda_OdB,tc_Lambda_OdB),X5)
    | ~ c_Type_Otypings(X1,X3,X6)
    | ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X7) ),
    inference(literals_permutation,[status(thm)],[c_0_954]) ).

cnf(c_0_954_1,axiom,
    ( ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4,tc_Lambda_OdB,tc_Lambda_OdB),X5)
    | c_Type_Otypings(X1,X4,c_Type_Osko__Type__Xvar__app__types__1__1(X5,X7,X1,X4))
    | ~ c_Type_Otypings(X1,X3,X6)
    | ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X7) ),
    inference(literals_permutation,[status(thm)],[c_0_954]) ).

cnf(c_0_954_2,axiom,
    ( ~ c_Type_Otypings(X1,X3,X6)
    | ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4,tc_Lambda_OdB,tc_Lambda_OdB),X5)
    | c_Type_Otypings(X1,X4,c_Type_Osko__Type__Xvar__app__types__1__1(X5,X7,X1,X4))
    | ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X7) ),
    inference(literals_permutation,[status(thm)],[c_0_954]) ).

cnf(c_0_954_3,axiom,
    ( ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X7)
    | ~ c_Type_Otypings(X1,X3,X6)
    | ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4,tc_Lambda_OdB,tc_Lambda_OdB),X5)
    | c_Type_Otypings(X1,X4,c_Type_Osko__Type__Xvar__app__types__1__1(X5,X7,X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_954]) ).

cnf(c_0_955_0,axiom,
    ( c_ListOrder_Ostep1(c_Lambda_Obeta,X2,c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X1,X2,X3),tc_Lambda_OdB)
    | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_955]) ).

cnf(c_0_955_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)),X3))
    | c_ListOrder_Ostep1(c_Lambda_Obeta,X2,c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X1,X2,X3),tc_Lambda_OdB) ),
    inference(literals_permutation,[status(thm)],[c_0_955]) ).

cnf(c_0_956_0,axiom,
    ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X2,tc_Lambda_OdB,tc_Lambda_OdB)))
    | ~ c_ListOrder_Ostep1(c_Lambda_Obeta,X1,X2,tc_Lambda_OdB) ),
    inference(literals_permutation,[status(thm)],[c_0_956]) ).

cnf(c_0_956_1,axiom,
    ( ~ c_ListOrder_Ostep1(c_Lambda_Obeta,X1,X2,tc_Lambda_OdB)
    | hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X2,tc_Lambda_OdB,tc_Lambda_OdB))) ),
    inference(literals_permutation,[status(thm)],[c_0_956]) ).

cnf(c_0_957_0,axiom,
    ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB)))
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_957]) ).

cnf(c_0_957_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2))
    | hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB))) ),
    inference(literals_permutation,[status(thm)],[c_0_957]) ).

cnf(c_0_958_0,axiom,
    ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB)))
    | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_958]) ).

cnf(c_0_958_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2))
    | hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB))) ),
    inference(literals_permutation,[status(thm)],[c_0_958]) ).

cnf(c_0_959_0,axiom,
    ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1)),X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)))
    | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat)),X3,tc_Lambda_OdB,tc_Lambda_OdB)))
    | ~ hBOOL(hAPP(c_InductTermi_OIT,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_959]) ).

cnf(c_0_959_1,axiom,
    ( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat)),X3,tc_Lambda_OdB,tc_Lambda_OdB)))
    | hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1)),X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)))
    | ~ hBOOL(hAPP(c_InductTermi_OIT,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_959]) ).

cnf(c_0_959_2,axiom,
    ( ~ hBOOL(hAPP(c_InductTermi_OIT,X2))
    | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat)),X3,tc_Lambda_OdB,tc_Lambda_OdB)))
    | hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1)),X2),X3,tc_Lambda_OdB,tc_Lambda_OdB))) ),
    inference(literals_permutation,[status(thm)],[c_0_959]) ).

cnf(c_0_960_0,axiom,
    ( v_thesis____
    | ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),hAPP(hAPP(c_Type_Otype_OFun,X1),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)))
    | ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_960]) ).

cnf(c_0_960_1,axiom,
    ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),hAPP(hAPP(c_Type_Otype_OFun,X1),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)))
    | v_thesis____
    | ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_960]) ).

cnf(c_0_960_2,axiom,
    ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,X1)
    | ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),hAPP(hAPP(c_Type_Otype_OFun,X1),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)))
    | v_thesis____ ),
    inference(literals_permutation,[status(thm)],[c_0_960]) ).

cnf(c_0_961_0,axiom,
    ( hBOOL(hAPP(X1,hAPP(hAPP(X2,X3),X4)))
    | ~ hBOOL(hAPP(X1,c_Lambda_OdB_OdB__case(X5,X2,X6,hAPP(hAPP(c_Lambda_OdB_OApp,X3),X4),t_a))) ),
    inference(literals_permutation,[status(thm)],[c_0_961]) ).

cnf(c_0_961_1,axiom,
    ( ~ hBOOL(hAPP(X1,c_Lambda_OdB_OdB__case(X5,X2,X6,hAPP(hAPP(c_Lambda_OdB_OApp,X3),X4),t_a)))
    | hBOOL(hAPP(X1,hAPP(hAPP(X2,X3),X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_961]) ).

cnf(c_0_962_0,axiom,
    ( hBOOL(hAPP(X1,hAPP(hAPP(X2,X3),X4)))
    | ~ hBOOL(hAPP(X1,c_Lambda_OdB_OdB__case(X5,X2,X6,hAPP(hAPP(c_Lambda_OdB_OApp,X3),X4),t_a))) ),
    inference(literals_permutation,[status(thm)],[c_0_962]) ).

cnf(c_0_962_1,axiom,
    ( ~ hBOOL(hAPP(X1,c_Lambda_OdB_OdB__case(X5,X2,X6,hAPP(hAPP(c_Lambda_OdB_OApp,X3),X4),t_a)))
    | hBOOL(hAPP(X1,hAPP(hAPP(X2,X3),X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_962]) ).

cnf(c_0_963_0,axiom,
    ( X4 = X5
    | ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4)
    | ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_963]) ).

cnf(c_0_963_1,axiom,
    ( ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4)
    | X4 = X5
    | ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_963]) ).

cnf(c_0_963_2,axiom,
    ( ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X5)
    | ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4)
    | X4 = X5 ),
    inference(literals_permutation,[status(thm)],[c_0_963]) ).

cnf(c_0_964_0,axiom,
    ( hBOOL(hAPP(X1,hAPP(X2,X3)))
    | ~ hBOOL(hAPP(X1,c_Lambda_OdB_OdB__case(X4,X5,X2,c_Lambda_OdB_OAbs(X3),t_a))) ),
    inference(literals_permutation,[status(thm)],[c_0_964]) ).

cnf(c_0_964_1,axiom,
    ( ~ hBOOL(hAPP(X1,c_Lambda_OdB_OdB__case(X4,X5,X2,c_Lambda_OdB_OAbs(X3),t_a)))
    | hBOOL(hAPP(X1,hAPP(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_964]) ).

cnf(c_0_965_0,axiom,
    ( hBOOL(hAPP(X1,hAPP(X2,X3)))
    | ~ hBOOL(hAPP(X1,c_Lambda_OdB_OdB__case(X4,X5,X2,c_Lambda_OdB_OAbs(X3),t_a))) ),
    inference(literals_permutation,[status(thm)],[c_0_965]) ).

cnf(c_0_965_1,axiom,
    ( ~ hBOOL(hAPP(X1,c_Lambda_OdB_OdB__case(X4,X5,X2,c_Lambda_OdB_OAbs(X3),t_a)))
    | hBOOL(hAPP(X1,hAPP(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_965]) ).

cnf(c_0_966_0,axiom,
    ( hBOOL(hAPP(X1,hAPP(X2,X3)))
    | ~ hBOOL(hAPP(X1,c_Lambda_OdB_OdB__case(X2,X4,X5,c_Lambda_OdB_OVar(X3),t_a))) ),
    inference(literals_permutation,[status(thm)],[c_0_966]) ).

cnf(c_0_966_1,axiom,
    ( ~ hBOOL(hAPP(X1,c_Lambda_OdB_OdB__case(X2,X4,X5,c_Lambda_OdB_OVar(X3),t_a)))
    | hBOOL(hAPP(X1,hAPP(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_966]) ).

cnf(c_0_967_0,axiom,
    ( hBOOL(hAPP(X1,hAPP(X2,X3)))
    | ~ hBOOL(hAPP(X1,c_Lambda_OdB_OdB__case(X2,X4,X5,c_Lambda_OdB_OVar(X3),t_a))) ),
    inference(literals_permutation,[status(thm)],[c_0_967]) ).

cnf(c_0_967_1,axiom,
    ( ~ hBOOL(hAPP(X1,c_Lambda_OdB_OdB__case(X2,X4,X5,c_Lambda_OdB_OVar(X3),t_a)))
    | hBOOL(hAPP(X1,hAPP(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_967]) ).

cnf(c_0_968_0,axiom,
    ( c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1)),X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)
    | ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),X2,tc_Lambda_OdB)
    | ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat)),X3,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB) ),
    inference(literals_permutation,[status(thm)],[c_0_968]) ).

cnf(c_0_968_1,axiom,
    ( ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),X2,tc_Lambda_OdB)
    | c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1)),X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)
    | ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat)),X3,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB) ),
    inference(literals_permutation,[status(thm)],[c_0_968]) ).

cnf(c_0_968_2,axiom,
    ( ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat)),X3,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)
    | ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),X2,tc_Lambda_OdB)
    | c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1)),X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB) ),
    inference(literals_permutation,[status(thm)],[c_0_968]) ).

cnf(c_0_969_0,axiom,
    ( c_Type_Otyping(X1,c_Lambda_OdB_OVar(X2),c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__typesE__1__1(X4,X1,X2,X3),X4,tc_Type_Otype,tc_Type_Otype))
    | ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_969]) ).

cnf(c_0_969_1,axiom,
    ( ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4)
    | c_Type_Otyping(X1,c_Lambda_OdB_OVar(X2),c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__typesE__1__1(X4,X1,X2,X3),X4,tc_Type_Otype,tc_Type_Otype)) ),
    inference(literals_permutation,[status(thm)],[c_0_969]) ).

cnf(c_0_970_0,axiom,
    ( c_Type_Otyping(X1,X2,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeE__1__1(X4,X1,X2,X3),X4,tc_Type_Otype,tc_Type_Otype))
    | ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_970]) ).

cnf(c_0_970_1,axiom,
    ( ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB),X4)
    | c_Type_Otyping(X1,X2,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeE__1__1(X4,X1,X2,X3),X4,tc_Type_Otype,tc_Type_Otype)) ),
    inference(literals_permutation,[status(thm)],[c_0_970]) ).

cnf(c_0_971_0,axiom,
    ( c_Type_Otyping(X1,X2,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeD__1__1(X4,X1,X2,X3),X4,tc_Type_Otype,tc_Type_Otype))
    | ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_971]) ).

cnf(c_0_971_1,axiom,
    ( ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB),X4)
    | c_Type_Otyping(X1,X2,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeD__1__1(X4,X1,X2,X3),X4,tc_Type_Otype,tc_Type_Otype)) ),
    inference(literals_permutation,[status(thm)],[c_0_971]) ).

cnf(c_0_972_0,axiom,
    ( c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X5,tc_Lambda_OdB,tc_Lambda_OdB),X4)
    | ~ c_Type_Otyping(X1,X2,c_List_Ofoldr(c_Type_Otype_OFun,X3,X4,tc_Type_Otype,tc_Type_Otype))
    | ~ c_Type_Otypings(X1,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_972]) ).

cnf(c_0_972_1,axiom,
    ( ~ c_Type_Otyping(X1,X2,c_List_Ofoldr(c_Type_Otype_OFun,X3,X4,tc_Type_Otype,tc_Type_Otype))
    | c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X5,tc_Lambda_OdB,tc_Lambda_OdB),X4)
    | ~ c_Type_Otypings(X1,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_972]) ).

cnf(c_0_972_2,axiom,
    ( ~ c_Type_Otypings(X1,X5,X3)
    | ~ c_Type_Otyping(X1,X2,c_List_Ofoldr(c_Type_Otype_OFun,X3,X4,tc_Type_Otype,tc_Type_Otype))
    | c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X5,tc_Lambda_OdB,tc_Lambda_OdB),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_972]) ).

cnf(c_0_973_0,axiom,
    ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X1,tc_Lambda_OdB,tc_Lambda_OdB)))
    | ~ c_List_Olistsp(c_InductTermi_OIT,X1,tc_Lambda_OdB) ),
    inference(literals_permutation,[status(thm)],[c_0_973]) ).

cnf(c_0_973_1,axiom,
    ( ~ c_List_Olistsp(c_InductTermi_OIT,X1,tc_Lambda_OdB)
    | hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X1,tc_Lambda_OdB,tc_Lambda_OdB))) ),
    inference(literals_permutation,[status(thm)],[c_0_973]) ).

cnf(c_0_974_0,axiom,
    ( c_Type_Otypings(X1,X3,c_Type_Osko__Type__Xvar__app__typesE__1__1(X4,X1,X2,X3))
    | ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_974]) ).

cnf(c_0_974_1,axiom,
    ( ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4)
    | c_Type_Otypings(X1,X3,c_Type_Osko__Type__Xvar__app__typesE__1__1(X4,X1,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_974]) ).

cnf(c_0_975_0,axiom,
    ( c_Type_Otypings(X1,X3,c_Type_Osko__Type__Xlist__app__typeE__1__1(X4,X1,X2,X3))
    | ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_975]) ).

cnf(c_0_975_1,axiom,
    ( ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB),X4)
    | c_Type_Otypings(X1,X3,c_Type_Osko__Type__Xlist__app__typeE__1__1(X4,X1,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_975]) ).

cnf(c_0_976_0,axiom,
    ( c_Type_Otypings(X1,X3,c_Type_Osko__Type__Xlist__app__typeD__1__1(X4,X1,X2,X3))
    | ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_976]) ).

cnf(c_0_976_1,axiom,
    ( ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB),X4)
    | c_Type_Otypings(X1,X3,c_Type_Osko__Type__Xlist__app__typeD__1__1(X4,X1,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_976]) ).

cnf(c_0_977_0,axiom,
    ( X1 = X2
    | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X4),X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
    inference(literals_permutation,[status(thm)],[c_0_977]) ).

cnf(c_0_977_1,axiom,
    ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X4),X2,tc_Lambda_OdB,tc_Lambda_OdB)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_977]) ).

cnf(c_0_978_0,axiom,
    ( X1 = X2
    | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X4,tc_Lambda_OdB,tc_Lambda_OdB) ),
    inference(literals_permutation,[status(thm)],[c_0_978]) ).

cnf(c_0_978_1,axiom,
    ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X4,tc_Lambda_OdB,tc_Lambda_OdB)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_978]) ).

cnf(c_0_979_0,axiom,
    ( X1 = X2
    | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
    inference(literals_permutation,[status(thm)],[c_0_979]) ).

cnf(c_0_979_1,axiom,
    ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X2,tc_Lambda_OdB,tc_Lambda_OdB)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_979]) ).

cnf(c_0_980_0,axiom,
    ( X1 = X2
    | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X4,tc_Lambda_OdB,tc_Lambda_OdB) ),
    inference(literals_permutation,[status(thm)],[c_0_980]) ).

cnf(c_0_980_1,axiom,
    ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X4,tc_Lambda_OdB,tc_Lambda_OdB)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_980]) ).

cnf(c_0_981_0,axiom,
    ( c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X4,X1,X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X1),X3,X4,X1,X1))
    | ~ class_OrderedGroup_Osemigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_981]) ).

cnf(c_0_981_1,axiom,
    ( ~ class_OrderedGroup_Osemigroup__add(X1)
    | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X4,X1,X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X1),X3,X4,X1,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_981]) ).

cnf(c_0_982_0,axiom,
    ( X1 = X2
    | c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
    inference(literals_permutation,[status(thm)],[c_0_982]) ).

cnf(c_0_982_1,axiom,
    ( c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_982]) ).

cnf(c_0_983_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1),X3,X1,X1)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X1),X2,X3,X1,X1)
    | ~ class_OrderedGroup_Omonoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_983]) ).

cnf(c_0_983_1,axiom,
    ( ~ class_OrderedGroup_Omonoid__add(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1),X3,X1,X1)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X1),X2,X3,X1,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_983]) ).

cnf(c_0_984_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X1),X3,c_HOL_Ozero__class_Ozero(X1),X1,X1)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X1),X2,X3,X1,X1)
    | ~ class_OrderedGroup_Omonoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_984]) ).

cnf(c_0_984_1,axiom,
    ( ~ class_OrderedGroup_Omonoid__add(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X1),X3,c_HOL_Ozero__class_Ozero(X1),X1,X1)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X1),X2,X3,X1,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_984]) ).

cnf(c_0_985_0,axiom,
    ( X1 = c_List_Olist_OCons(X2,X3,X4)
    | c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X2,X3,X5,X1,X4),X1,X4) = X3
    | c_List_Oappend(X5,X1,X4) != c_List_Olist_OCons(X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_985]) ).

cnf(c_0_985_1,axiom,
    ( c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X2,X3,X5,X1,X4),X1,X4) = X3
    | X1 = c_List_Olist_OCons(X2,X3,X4)
    | c_List_Oappend(X5,X1,X4) != c_List_Olist_OCons(X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_985]) ).

cnf(c_0_985_2,axiom,
    ( c_List_Oappend(X5,X1,X4) != c_List_Olist_OCons(X2,X3,X4)
    | c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X2,X3,X5,X1,X4),X1,X4) = X3
    | X1 = c_List_Olist_OCons(X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_985]) ).

cnf(c_0_986_0,axiom,
    ( c_List_Olist_OCons(X1,X2,X3) = X4
    | c_List_Olist_OCons(X1,c_List_Osko__List__XCons__eq__append__conv__1__1(X1,X2,X5,X4,X3),X3) = X5
    | c_List_Olist_OCons(X1,X2,X3) != c_List_Oappend(X5,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_986]) ).

cnf(c_0_986_1,axiom,
    ( c_List_Olist_OCons(X1,c_List_Osko__List__XCons__eq__append__conv__1__1(X1,X2,X5,X4,X3),X3) = X5
    | c_List_Olist_OCons(X1,X2,X3) = X4
    | c_List_Olist_OCons(X1,X2,X3) != c_List_Oappend(X5,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_986]) ).

cnf(c_0_986_2,axiom,
    ( c_List_Olist_OCons(X1,X2,X3) != c_List_Oappend(X5,X4,X3)
    | c_List_Olist_OCons(X1,c_List_Osko__List__XCons__eq__append__conv__1__1(X1,X2,X5,X4,X3),X3) = X5
    | c_List_Olist_OCons(X1,X2,X3) = X4 ),
    inference(literals_permutation,[status(thm)],[c_0_986]) ).

cnf(c_0_987_0,axiom,
    ( X1 = c_List_Olist_OCons(X2,X3,X4)
    | c_List_Olist_OCons(X2,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X2,X3,X5,X1,X4),X4) = X5
    | c_List_Oappend(X5,X1,X4) != c_List_Olist_OCons(X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_987]) ).

cnf(c_0_987_1,axiom,
    ( c_List_Olist_OCons(X2,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X2,X3,X5,X1,X4),X4) = X5
    | X1 = c_List_Olist_OCons(X2,X3,X4)
    | c_List_Oappend(X5,X1,X4) != c_List_Olist_OCons(X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_987]) ).

cnf(c_0_987_2,axiom,
    ( c_List_Oappend(X5,X1,X4) != c_List_Olist_OCons(X2,X3,X4)
    | c_List_Olist_OCons(X2,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X2,X3,X5,X1,X4),X4) = X5
    | X1 = c_List_Olist_OCons(X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_987]) ).

cnf(c_0_988_0,axiom,
    ( c_List_Olist_OCons(X1,X2,X3) = X4
    | c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(X1,X2,X5,X4,X3),X4,X3) = X2
    | c_List_Olist_OCons(X1,X2,X3) != c_List_Oappend(X5,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_988]) ).

cnf(c_0_988_1,axiom,
    ( c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(X1,X2,X5,X4,X3),X4,X3) = X2
    | c_List_Olist_OCons(X1,X2,X3) = X4
    | c_List_Olist_OCons(X1,X2,X3) != c_List_Oappend(X5,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_988]) ).

cnf(c_0_988_2,axiom,
    ( c_List_Olist_OCons(X1,X2,X3) != c_List_Oappend(X5,X4,X3)
    | c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(X1,X2,X5,X4,X3),X4,X3) = X2
    | c_List_Olist_OCons(X1,X2,X3) = X4 ),
    inference(literals_permutation,[status(thm)],[c_0_988]) ).

cnf(c_0_989_0,axiom,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(X4,X3,X1,X5,X2),X5,X2) = X3
    | c_List_Olist_OCons(X4,X3,X2) != c_List_Oappend(X1,X5,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_989]) ).

cnf(c_0_989_1,axiom,
    ( c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(X4,X3,X1,X5,X2),X5,X2) = X3
    | X1 = c_List_Olist_ONil(X2)
    | c_List_Olist_OCons(X4,X3,X2) != c_List_Oappend(X1,X5,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_989]) ).

cnf(c_0_989_2,axiom,
    ( c_List_Olist_OCons(X4,X3,X2) != c_List_Oappend(X1,X5,X2)
    | c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(X4,X3,X1,X5,X2),X5,X2) = X3
    | X1 = c_List_Olist_ONil(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_989]) ).

cnf(c_0_990_0,axiom,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Olist_OCons(X3,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X3,X4,X1,X5,X2),X2) = X1
    | c_List_Oappend(X1,X5,X2) != c_List_Olist_OCons(X3,X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_990]) ).

cnf(c_0_990_1,axiom,
    ( c_List_Olist_OCons(X3,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X3,X4,X1,X5,X2),X2) = X1
    | X1 = c_List_Olist_ONil(X2)
    | c_List_Oappend(X1,X5,X2) != c_List_Olist_OCons(X3,X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_990]) ).

cnf(c_0_990_2,axiom,
    ( c_List_Oappend(X1,X5,X2) != c_List_Olist_OCons(X3,X4,X2)
    | c_List_Olist_OCons(X3,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X3,X4,X1,X5,X2),X2) = X1
    | X1 = c_List_Olist_ONil(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_990]) ).

cnf(c_0_991_0,axiom,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X3,X4,X1,X5,X2),X5,X2) = X4
    | c_List_Oappend(X1,X5,X2) != c_List_Olist_OCons(X3,X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_991]) ).

cnf(c_0_991_1,axiom,
    ( c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X3,X4,X1,X5,X2),X5,X2) = X4
    | X1 = c_List_Olist_ONil(X2)
    | c_List_Oappend(X1,X5,X2) != c_List_Olist_OCons(X3,X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_991]) ).

cnf(c_0_991_2,axiom,
    ( c_List_Oappend(X1,X5,X2) != c_List_Olist_OCons(X3,X4,X2)
    | c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X3,X4,X1,X5,X2),X5,X2) = X4
    | X1 = c_List_Olist_ONil(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_991]) ).

cnf(c_0_992_0,axiom,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Olist_OCons(X3,c_List_Osko__List__XCons__eq__append__conv__1__1(X3,X4,X1,X5,X2),X2) = X1
    | c_List_Olist_OCons(X3,X4,X2) != c_List_Oappend(X1,X5,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_992]) ).

cnf(c_0_992_1,axiom,
    ( c_List_Olist_OCons(X3,c_List_Osko__List__XCons__eq__append__conv__1__1(X3,X4,X1,X5,X2),X2) = X1
    | X1 = c_List_Olist_ONil(X2)
    | c_List_Olist_OCons(X3,X4,X2) != c_List_Oappend(X1,X5,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_992]) ).

cnf(c_0_992_2,axiom,
    ( c_List_Olist_OCons(X3,X4,X2) != c_List_Oappend(X1,X5,X2)
    | c_List_Olist_OCons(X3,c_List_Osko__List__XCons__eq__append__conv__1__1(X3,X4,X1,X5,X2),X2) = X1
    | X1 = c_List_Olist_ONil(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_992]) ).

cnf(c_0_993_0,axiom,
    ( c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1),X2,X1,X1) = c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X1),X2,c_HOL_Ozero__class_Ozero(X1),X1,X1)
    | ~ class_OrderedGroup_Omonoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_993]) ).

cnf(c_0_993_1,axiom,
    ( ~ class_OrderedGroup_Omonoid__add(X1)
    | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1),X2,X1,X1) = c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X1),X2,c_HOL_Ozero__class_Ozero(X1),X1,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_993]) ).

cnf(c_0_994_0,axiom,
    ( c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X1),X3,X2,X1,X1) = c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X1),X2,X3,X1,X1)
    | ~ class_OrderedGroup_Oab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_994]) ).

cnf(c_0_994_1,axiom,
    ( ~ class_OrderedGroup_Oab__semigroup__add(X1)
    | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X1),X3,X2,X1,X1) = c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X1),X2,X3,X1,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_994]) ).

cnf(c_0_995_0,axiom,
    ( c_Type_Otyping(X1,X2,hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(X4,X1,X2,X3)),X4))
    | ~ c_Type_Otyping(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_995]) ).

cnf(c_0_995_1,axiom,
    ( ~ c_Type_Otyping(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3),X4)
    | c_Type_Otyping(X1,X2,hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(X4,X1,X2,X3)),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_995]) ).

cnf(c_0_996_0,axiom,
    ( hBOOL(hAPP(X1,hAPP(hAPP(X2,X3),X4)))
    | ~ hBOOL(hAPP(X1,c_Type_Otype_Otype__case(X5,X2,hAPP(hAPP(c_Type_Otype_OFun,X3),X4),t_a))) ),
    inference(literals_permutation,[status(thm)],[c_0_996]) ).

cnf(c_0_996_1,axiom,
    ( ~ hBOOL(hAPP(X1,c_Type_Otype_Otype__case(X5,X2,hAPP(hAPP(c_Type_Otype_OFun,X3),X4),t_a)))
    | hBOOL(hAPP(X1,hAPP(hAPP(X2,X3),X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_996]) ).

cnf(c_0_997_0,axiom,
    ( hBOOL(hAPP(X1,hAPP(hAPP(X2,X3),X4)))
    | ~ hBOOL(hAPP(X1,c_Type_Otype_Otype__case(X5,X2,hAPP(hAPP(c_Type_Otype_OFun,X3),X4),t_a))) ),
    inference(literals_permutation,[status(thm)],[c_0_997]) ).

cnf(c_0_997_1,axiom,
    ( ~ hBOOL(hAPP(X1,c_Type_Otype_Otype__case(X5,X2,hAPP(hAPP(c_Type_Otype_OFun,X3),X4),t_a)))
    | hBOOL(hAPP(X1,hAPP(hAPP(X2,X3),X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_997]) ).

cnf(c_0_998_0,axiom,
    ( hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) = X3
    | hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) != c_List_Ofoldl(c_Lambda_OdB_OApp,X3,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ),
    inference(literals_permutation,[status(thm)],[c_0_998]) ).

cnf(c_0_998_1,axiom,
    ( hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) != c_List_Ofoldl(c_Lambda_OdB_OApp,X3,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)
    | hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_998]) ).

cnf(c_0_999_0,axiom,
    ( c_Lambda_OdB_OAbs(X1) = X2
    | c_Lambda_OdB_OAbs(X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
    inference(literals_permutation,[status(thm)],[c_0_999]) ).

cnf(c_0_999_1,axiom,
    ( c_Lambda_OdB_OAbs(X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB)
    | c_Lambda_OdB_OAbs(X1) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_999]) ).

cnf(c_0_1000_0,axiom,
    ( c_Lambda_OdB_OVar(X1) = X2
    | c_Lambda_OdB_OVar(X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
    inference(literals_permutation,[status(thm)],[c_0_1000]) ).

cnf(c_0_1000_1,axiom,
    ( c_Lambda_OdB_OVar(X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB)
    | c_Lambda_OdB_OVar(X1) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1000]) ).

cnf(c_0_1001_0,axiom,
    ( X1 = c_Lambda_OdB_OAbs(X2)
    | c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1001]) ).

cnf(c_0_1001_1,axiom,
    ( c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2)
    | X1 = c_Lambda_OdB_OAbs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1001]) ).

cnf(c_0_1002_0,axiom,
    ( X1 = c_List_Olist_ONil(tc_Lambda_OdB)
    | c_Lambda_OdB_OVar(X2) != c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB) ),
    inference(literals_permutation,[status(thm)],[c_0_1002]) ).

cnf(c_0_1002_1,axiom,
    ( c_Lambda_OdB_OVar(X2) != c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB)
    | X1 = c_List_Olist_ONil(tc_Lambda_OdB) ),
    inference(literals_permutation,[status(thm)],[c_0_1002]) ).

cnf(c_0_1003_0,axiom,
    ( X1 = c_List_Olist_ONil(tc_Lambda_OdB)
    | c_Lambda_OdB_OAbs(X2) != c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB) ),
    inference(literals_permutation,[status(thm)],[c_0_1003]) ).

cnf(c_0_1003_1,axiom,
    ( c_Lambda_OdB_OAbs(X2) != c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB)
    | X1 = c_List_Olist_ONil(tc_Lambda_OdB) ),
    inference(literals_permutation,[status(thm)],[c_0_1003]) ).

cnf(c_0_1004_0,axiom,
    ( X1 = c_List_Olist_ONil(tc_Lambda_OdB)
    | c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1004]) ).

cnf(c_0_1004_1,axiom,
    ( c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X3)
    | X1 = c_List_Olist_ONil(tc_Lambda_OdB) ),
    inference(literals_permutation,[status(thm)],[c_0_1004]) ).

cnf(c_0_1005_0,axiom,
    ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X4),X3))
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(X1,X2,X2),X2),X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1005]) ).

cnf(c_0_1005_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(X1,X2,X2),X2),X3),X4))
    | hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X4),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1005]) ).

cnf(c_0_1006_0,axiom,
    ( c_ListOrder_Ostep1(X1,X2,X5,X4)
    | hBOOL(hAPP(hAPP(X1,X3),X6))
    | ~ c_ListOrder_Ostep1(X1,c_List_Oappend(X2,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X5,c_List_Olist_OCons(X6,c_List_Olist_ONil(X4),X4),X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1006]) ).

cnf(c_0_1006_1,axiom,
    ( hBOOL(hAPP(hAPP(X1,X3),X6))
    | c_ListOrder_Ostep1(X1,X2,X5,X4)
    | ~ c_ListOrder_Ostep1(X1,c_List_Oappend(X2,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X5,c_List_Olist_OCons(X6,c_List_Olist_ONil(X4),X4),X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1006]) ).

cnf(c_0_1006_2,axiom,
    ( ~ c_ListOrder_Ostep1(X1,c_List_Oappend(X2,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X5,c_List_Olist_OCons(X6,c_List_Olist_ONil(X4),X4),X4),X4)
    | hBOOL(hAPP(hAPP(X1,X3),X6))
    | c_ListOrder_Ostep1(X1,X2,X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1006]) ).

cnf(c_0_1007_0,axiom,
    ( c_ListOrder_Ostep1(X1,X2,X5,X4)
    | X2 = X5
    | ~ c_ListOrder_Ostep1(X1,c_List_Oappend(X2,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X5,c_List_Olist_OCons(X6,c_List_Olist_ONil(X4),X4),X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1007]) ).

cnf(c_0_1007_1,axiom,
    ( X2 = X5
    | c_ListOrder_Ostep1(X1,X2,X5,X4)
    | ~ c_ListOrder_Ostep1(X1,c_List_Oappend(X2,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X5,c_List_Olist_OCons(X6,c_List_Olist_ONil(X4),X4),X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1007]) ).

cnf(c_0_1007_2,axiom,
    ( ~ c_ListOrder_Ostep1(X1,c_List_Oappend(X2,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X5,c_List_Olist_OCons(X6,c_List_Olist_ONil(X4),X4),X4),X4)
    | X2 = X5
    | c_ListOrder_Ostep1(X1,X2,X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1007]) ).

cnf(c_0_1008_0,axiom,
    ( hBOOL(hAPP(X1,hAPP(X2,X3)))
    | ~ hBOOL(hAPP(X1,c_Type_Otype_Otype__case(X2,X4,c_Type_Otype_OAtom(X3),t_a))) ),
    inference(literals_permutation,[status(thm)],[c_0_1008]) ).

cnf(c_0_1008_1,axiom,
    ( ~ hBOOL(hAPP(X1,c_Type_Otype_Otype__case(X2,X4,c_Type_Otype_OAtom(X3),t_a)))
    | hBOOL(hAPP(X1,hAPP(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1008]) ).

cnf(c_0_1009_0,axiom,
    ( hBOOL(hAPP(X1,hAPP(X2,X3)))
    | ~ hBOOL(hAPP(X1,c_Type_Otype_Otype__case(X2,X4,c_Type_Otype_OAtom(X3),t_a))) ),
    inference(literals_permutation,[status(thm)],[c_0_1009]) ).

cnf(c_0_1009_1,axiom,
    ( ~ hBOOL(hAPP(X1,c_Type_Otype_Otype__case(X2,X4,c_Type_Otype_OAtom(X3),t_a)))
    | hBOOL(hAPP(X1,hAPP(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1009]) ).

cnf(c_0_1010_0,axiom,
    ( X3 = X6
    | hBOOL(hAPP(hAPP(X1,X3),X6))
    | ~ c_ListOrder_Ostep1(X1,c_List_Oappend(X2,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X5,c_List_Olist_OCons(X6,c_List_Olist_ONil(X4),X4),X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1010]) ).

cnf(c_0_1010_1,axiom,
    ( hBOOL(hAPP(hAPP(X1,X3),X6))
    | X3 = X6
    | ~ c_ListOrder_Ostep1(X1,c_List_Oappend(X2,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X5,c_List_Olist_OCons(X6,c_List_Olist_ONil(X4),X4),X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1010]) ).

cnf(c_0_1010_2,axiom,
    ( ~ c_ListOrder_Ostep1(X1,c_List_Oappend(X2,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X5,c_List_Olist_OCons(X6,c_List_Olist_ONil(X4),X4),X4),X4)
    | hBOOL(hAPP(hAPP(X1,X3),X6))
    | X3 = X6 ),
    inference(literals_permutation,[status(thm)],[c_0_1010]) ).

cnf(c_0_1011_0,axiom,
    ( X3 = X6
    | X2 = X5
    | ~ c_ListOrder_Ostep1(X1,c_List_Oappend(X2,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X5,c_List_Olist_OCons(X6,c_List_Olist_ONil(X4),X4),X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1011]) ).

cnf(c_0_1011_1,axiom,
    ( X2 = X5
    | X3 = X6
    | ~ c_ListOrder_Ostep1(X1,c_List_Oappend(X2,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X5,c_List_Olist_OCons(X6,c_List_Olist_ONil(X4),X4),X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1011]) ).

cnf(c_0_1011_2,axiom,
    ( ~ c_ListOrder_Ostep1(X1,c_List_Oappend(X2,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X5,c_List_Olist_OCons(X6,c_List_Olist_ONil(X4),X4),X4),X4)
    | X2 = X5
    | X3 = X6 ),
    inference(literals_permutation,[status(thm)],[c_0_1011]) ).

cnf(c_0_1012_0,axiom,
    ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(X1,X2,X2),X2),X4),X3))
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1012]) ).

cnf(c_0_1012_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))
    | hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(X1,X2,X2),X2),X4),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1012]) ).

cnf(c_0_1013_0,axiom,
    ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X1,X6,X3)))
    | ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
    | ~ c_Type_Otyping(c_Type_Oshift(X2,X3,X4,tc_Type_Otype),X1,X5)
    | ~ hBOOL(hAPP(c_InductTermi_OIT,X6))
    | ~ c_Type_Otyping(X2,X6,X4)
    | hAPP(hAPP(c_Type_Otype_OFun,X7),X4) != v_T____ ),
    inference(literals_permutation,[status(thm)],[c_0_1013]) ).

cnf(c_0_1013_1,axiom,
    ( ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
    | hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X1,X6,X3)))
    | ~ c_Type_Otyping(c_Type_Oshift(X2,X3,X4,tc_Type_Otype),X1,X5)
    | ~ hBOOL(hAPP(c_InductTermi_OIT,X6))
    | ~ c_Type_Otyping(X2,X6,X4)
    | hAPP(hAPP(c_Type_Otype_OFun,X7),X4) != v_T____ ),
    inference(literals_permutation,[status(thm)],[c_0_1013]) ).

cnf(c_0_1013_2,axiom,
    ( ~ c_Type_Otyping(c_Type_Oshift(X2,X3,X4,tc_Type_Otype),X1,X5)
    | ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
    | hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X1,X6,X3)))
    | ~ hBOOL(hAPP(c_InductTermi_OIT,X6))
    | ~ c_Type_Otyping(X2,X6,X4)
    | hAPP(hAPP(c_Type_Otype_OFun,X7),X4) != v_T____ ),
    inference(literals_permutation,[status(thm)],[c_0_1013]) ).

cnf(c_0_1013_3,axiom,
    ( ~ hBOOL(hAPP(c_InductTermi_OIT,X6))
    | ~ c_Type_Otyping(c_Type_Oshift(X2,X3,X4,tc_Type_Otype),X1,X5)
    | ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
    | hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X1,X6,X3)))
    | ~ c_Type_Otyping(X2,X6,X4)
    | hAPP(hAPP(c_Type_Otype_OFun,X7),X4) != v_T____ ),
    inference(literals_permutation,[status(thm)],[c_0_1013]) ).

cnf(c_0_1013_4,axiom,
    ( ~ c_Type_Otyping(X2,X6,X4)
    | ~ hBOOL(hAPP(c_InductTermi_OIT,X6))
    | ~ c_Type_Otyping(c_Type_Oshift(X2,X3,X4,tc_Type_Otype),X1,X5)
    | ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
    | hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X1,X6,X3)))
    | hAPP(hAPP(c_Type_Otype_OFun,X7),X4) != v_T____ ),
    inference(literals_permutation,[status(thm)],[c_0_1013]) ).

cnf(c_0_1013_5,axiom,
    ( hAPP(hAPP(c_Type_Otype_OFun,X7),X4) != v_T____
    | ~ c_Type_Otyping(X2,X6,X4)
    | ~ hBOOL(hAPP(c_InductTermi_OIT,X6))
    | ~ c_Type_Otyping(c_Type_Oshift(X2,X3,X4,tc_Type_Otype),X1,X5)
    | ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
    | hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X1,X6,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1013]) ).

cnf(c_0_1014_0,axiom,
    ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X1,X6,X3)))
    | ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
    | ~ c_Type_Otyping(c_Type_Oshift(X2,X3,X4,tc_Type_Otype),X1,X5)
    | ~ hBOOL(hAPP(c_InductTermi_OIT,X6))
    | ~ c_Type_Otyping(X2,X6,X4)
    | hAPP(hAPP(c_Type_Otype_OFun,X4),X7) != v_T____ ),
    inference(literals_permutation,[status(thm)],[c_0_1014]) ).

cnf(c_0_1014_1,axiom,
    ( ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
    | hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X1,X6,X3)))
    | ~ c_Type_Otyping(c_Type_Oshift(X2,X3,X4,tc_Type_Otype),X1,X5)
    | ~ hBOOL(hAPP(c_InductTermi_OIT,X6))
    | ~ c_Type_Otyping(X2,X6,X4)
    | hAPP(hAPP(c_Type_Otype_OFun,X4),X7) != v_T____ ),
    inference(literals_permutation,[status(thm)],[c_0_1014]) ).

cnf(c_0_1014_2,axiom,
    ( ~ c_Type_Otyping(c_Type_Oshift(X2,X3,X4,tc_Type_Otype),X1,X5)
    | ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
    | hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X1,X6,X3)))
    | ~ hBOOL(hAPP(c_InductTermi_OIT,X6))
    | ~ c_Type_Otyping(X2,X6,X4)
    | hAPP(hAPP(c_Type_Otype_OFun,X4),X7) != v_T____ ),
    inference(literals_permutation,[status(thm)],[c_0_1014]) ).

cnf(c_0_1014_3,axiom,
    ( ~ hBOOL(hAPP(c_InductTermi_OIT,X6))
    | ~ c_Type_Otyping(c_Type_Oshift(X2,X3,X4,tc_Type_Otype),X1,X5)
    | ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
    | hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X1,X6,X3)))
    | ~ c_Type_Otyping(X2,X6,X4)
    | hAPP(hAPP(c_Type_Otype_OFun,X4),X7) != v_T____ ),
    inference(literals_permutation,[status(thm)],[c_0_1014]) ).

cnf(c_0_1014_4,axiom,
    ( ~ c_Type_Otyping(X2,X6,X4)
    | ~ hBOOL(hAPP(c_InductTermi_OIT,X6))
    | ~ c_Type_Otyping(c_Type_Oshift(X2,X3,X4,tc_Type_Otype),X1,X5)
    | ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
    | hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X1,X6,X3)))
    | hAPP(hAPP(c_Type_Otype_OFun,X4),X7) != v_T____ ),
    inference(literals_permutation,[status(thm)],[c_0_1014]) ).

cnf(c_0_1014_5,axiom,
    ( hAPP(hAPP(c_Type_Otype_OFun,X4),X7) != v_T____
    | ~ c_Type_Otyping(X2,X6,X4)
    | ~ hBOOL(hAPP(c_InductTermi_OIT,X6))
    | ~ c_Type_Otyping(c_Type_Oshift(X2,X3,X4,tc_Type_Otype),X1,X5)
    | ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
    | hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X1,X6,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1014]) ).

cnf(c_0_1015_0,axiom,
    ( c_Type_Otyping(X1,c_Lambda_Osubst(X2,X3,X4),X5)
    | ~ c_Type_Otyping(c_Type_Oshift(X1,X4,X6,tc_Type_Otype),X2,X5)
    | ~ c_Type_Otyping(X1,X3,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1015]) ).

cnf(c_0_1015_1,axiom,
    ( ~ c_Type_Otyping(c_Type_Oshift(X1,X4,X6,tc_Type_Otype),X2,X5)
    | c_Type_Otyping(X1,c_Lambda_Osubst(X2,X3,X4),X5)
    | ~ c_Type_Otyping(X1,X3,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1015]) ).

cnf(c_0_1015_2,axiom,
    ( ~ c_Type_Otyping(X1,X3,X6)
    | ~ c_Type_Otyping(c_Type_Oshift(X1,X4,X6,tc_Type_Otype),X2,X5)
    | c_Type_Otyping(X1,c_Lambda_Osubst(X2,X3,X4),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1015]) ).

cnf(c_0_1016_0,axiom,
    ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3)),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X4)))
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2))
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1016]) ).

cnf(c_0_1016_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2))
    | hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3)),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X4)))
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1016]) ).

cnf(c_0_1016_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X3),X4))
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2))
    | hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3)),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_1016]) ).

cnf(c_0_1017_0,axiom,
    ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(X1,X3,X4)),c_Lambda_Osubst(X2,X3,X4)))
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1017]) ).

cnf(c_0_1017_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2))
    | hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(X1,X3,X4)),c_Lambda_Osubst(X2,X3,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_1017]) ).

cnf(c_0_1018_0,axiom,
    ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(X3,X1,X4)),c_Lambda_Osubst(X3,X2,X4)))
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1018]) ).

cnf(c_0_1018_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2))
    | hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(X3,X1,X4)),c_Lambda_Osubst(X3,X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_1018]) ).

cnf(c_0_1019_0,axiom,
    ( hBOOL(hAPP(hAPP(X1,X2),X5))
    | c_ListOrder_Ostep1(X1,X3,X6,X4)
    | ~ c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1019]) ).

cnf(c_0_1019_1,axiom,
    ( c_ListOrder_Ostep1(X1,X3,X6,X4)
    | hBOOL(hAPP(hAPP(X1,X2),X5))
    | ~ c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1019]) ).

cnf(c_0_1019_2,axiom,
    ( ~ c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X4),X4)
    | c_ListOrder_Ostep1(X1,X3,X6,X4)
    | hBOOL(hAPP(hAPP(X1,X2),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1019]) ).

cnf(c_0_1020_0,axiom,
    ( c_Type_Otyping(X1,c_Lambda_OdB_OAbs(X3),hAPP(hAPP(c_Type_Otype_OFun,X2),X4))
    | ~ c_Type_Otyping(c_Type_Oshift(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_Type_Otype),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1020]) ).

cnf(c_0_1020_1,axiom,
    ( ~ c_Type_Otyping(c_Type_Oshift(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_Type_Otype),X3,X4)
    | c_Type_Otyping(X1,c_Lambda_OdB_OAbs(X3),hAPP(hAPP(c_Type_Otype_OFun,X2),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1020]) ).

cnf(c_0_1021_0,axiom,
    ( X6 = X3
    | c_ListOrder_Ostep1(X1,X3,X6,X4)
    | ~ c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1021]) ).

cnf(c_0_1021_1,axiom,
    ( c_ListOrder_Ostep1(X1,X3,X6,X4)
    | X6 = X3
    | ~ c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1021]) ).

cnf(c_0_1021_2,axiom,
    ( ~ c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X4),X4)
    | c_ListOrder_Ostep1(X1,X3,X6,X4)
    | X6 = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_1021]) ).

cnf(c_0_1022_0,axiom,
    ( c_Type_Otyping(c_Type_Oshift(X1,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Osko__Type__Xtyping__elims__3__1(X3,X1,X2),tc_Type_Otype),X2,c_Type_Osko__Type__Xtyping__elims__3__2(X3,X1,X2))
    | ~ c_Type_Otyping(X1,c_Lambda_OdB_OAbs(X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1022]) ).

cnf(c_0_1022_1,axiom,
    ( ~ c_Type_Otyping(X1,c_Lambda_OdB_OAbs(X2),X3)
    | c_Type_Otyping(c_Type_Oshift(X1,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Osko__Type__Xtyping__elims__3__1(X3,X1,X2),tc_Type_Otype),X2,c_Type_Osko__Type__Xtyping__elims__3__2(X3,X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1022]) ).

cnf(c_0_1023_0,axiom,
    ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(X3,X1,X4)),c_Lambda_Osubst(X3,X2,X4)))
    | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1023]) ).

cnf(c_0_1023_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2))
    | hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(X3,X1,X4)),c_Lambda_Osubst(X3,X2,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_1023]) ).

cnf(c_0_1024_0,axiom,
    ( hBOOL(hAPP(hAPP(X1,X5),X4))
    | ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X1,X2,X3),X4),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1024]) ).

cnf(c_0_1024_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X1,X2,X3),X4),X5))
    | hBOOL(hAPP(hAPP(X1,X5),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1024]) ).

cnf(c_0_1025_0,axiom,
    ( hBOOL(hAPP(hAPP(X1,X5),X4))
    | ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X1,X2,X3),X4),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1025]) ).

cnf(c_0_1025_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X1,X2,X3),X4),X5))
    | hBOOL(hAPP(hAPP(X1,X5),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1025]) ).

cnf(c_0_1026_0,axiom,
    ( c_ListOrder_Ostep1(X1,c_List_Oappend(X5,X2,X4),c_List_Oappend(X5,X3,X4),X4)
    | ~ c_ListOrder_Ostep1(X1,X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1026]) ).

cnf(c_0_1026_1,axiom,
    ( ~ c_ListOrder_Ostep1(X1,X2,X3,X4)
    | c_ListOrder_Ostep1(X1,c_List_Oappend(X5,X2,X4),c_List_Oappend(X5,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1026]) ).

cnf(c_0_1027_0,axiom,
    ( c_ListOrder_Ostep1(X1,c_List_Oappend(X2,X3,X4),c_List_Oappend(X5,X3,X4),X4)
    | ~ c_ListOrder_Ostep1(X1,X2,X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1027]) ).

cnf(c_0_1027_1,axiom,
    ( ~ c_ListOrder_Ostep1(X1,X2,X5,X4)
    | c_ListOrder_Ostep1(X1,c_List_Oappend(X2,X3,X4),c_List_Oappend(X5,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1027]) ).

cnf(c_0_1028_0,axiom,
    ( c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X5,X2,X4),c_List_Olist_OCons(X5,X3,X4),X4)
    | ~ c_ListOrder_Ostep1(X1,X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1028]) ).

cnf(c_0_1028_1,axiom,
    ( ~ c_ListOrder_Ostep1(X1,X2,X3,X4)
    | c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X5,X2,X4),c_List_Olist_OCons(X5,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1028]) ).

cnf(c_0_1029_0,axiom,
    ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3)),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)))
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1029]) ).

cnf(c_0_1029_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2))
    | hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3)),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1029]) ).

cnf(c_0_1030_0,axiom,
    ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1)),hAPP(hAPP(c_Lambda_OdB_OApp,X3),X2)))
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1030]) ).

cnf(c_0_1030_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2))
    | hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1)),hAPP(hAPP(c_Lambda_OdB_OApp,X3),X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_1030]) ).

cnf(c_0_1031_0,axiom,
    ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Osubst(X1,X3,X4)),c_Lambda_Osubst(X2,X3,X4)))
    | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1031]) ).

cnf(c_0_1031_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2))
    | hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Osubst(X1,X3,X4)),c_Lambda_Osubst(X2,X3,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_1031]) ).

cnf(c_0_1032_0,axiom,
    ( hBOOL(hAPP(hAPP(X1,X2),X5))
    | X5 = X2
    | ~ c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1032]) ).

cnf(c_0_1032_1,axiom,
    ( X5 = X2
    | hBOOL(hAPP(hAPP(X1,X2),X5))
    | ~ c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1032]) ).

cnf(c_0_1032_2,axiom,
    ( ~ c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X4),X4)
    | X5 = X2
    | hBOOL(hAPP(hAPP(X1,X2),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1032]) ).

cnf(c_0_1033_0,axiom,
    ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X5))
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X4),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1033]) ).

cnf(c_0_1033_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))
    | hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X5))
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X4),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1033]) ).

cnf(c_0_1033_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X4),X5))
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))
    | hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1033]) ).

cnf(c_0_1034_0,axiom,
    ( c_Type_Otyping(X1,X3,c_Type_Osko__Type__Xtyping__elims__2__1(X4,X1,X2,X3))
    | ~ c_Type_Otyping(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1034]) ).

cnf(c_0_1034_1,axiom,
    ( ~ c_Type_Otyping(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3),X4)
    | c_Type_Otyping(X1,X3,c_Type_Osko__Type__Xtyping__elims__2__1(X4,X1,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1034]) ).

cnf(c_0_1035_0,axiom,
    ( X6 = X3
    | X5 = X2
    | ~ c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1035]) ).

cnf(c_0_1035_1,axiom,
    ( X5 = X2
    | X6 = X3
    | ~ c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1035]) ).

cnf(c_0_1035_2,axiom,
    ( ~ c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X4),X4)
    | X5 = X2
    | X6 = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_1035]) ).

cnf(c_0_1036_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X5)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X5))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1036]) ).

cnf(c_0_1036_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X5)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1036]) ).

cnf(c_0_1037_0,axiom,
    ( c_Type_Otyping(c_Type_Oshift(X1,X4,X5,tc_Type_Otype),c_Lambda_Olift(X2,X4),X3)
    | ~ c_Type_Otyping(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1037]) ).

cnf(c_0_1037_1,axiom,
    ( ~ c_Type_Otyping(X1,X2,X3)
    | c_Type_Otyping(c_Type_Oshift(X1,X4,X5,tc_Type_Otype),c_Lambda_Olift(X2,X4),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1037]) ).

cnf(c_0_1038_0,axiom,
    ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X1,X4,X5),X3),X2))
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1038]) ).

cnf(c_0_1038_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X1,X4,X5),X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1038]) ).

cnf(c_0_1039_0,axiom,
    ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X1,X4,X5),X3),X2))
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1039]) ).

cnf(c_0_1039_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X1,X4,X5),X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1039]) ).

cnf(c_0_1040_0,axiom,
    ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1)),hAPP(hAPP(c_Lambda_OdB_OApp,X3),X2)))
    | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1040]) ).

cnf(c_0_1040_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2))
    | hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1)),hAPP(hAPP(c_Lambda_OdB_OApp,X3),X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_1040]) ).

cnf(c_0_1041_0,axiom,
    ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3)),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)))
    | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1041]) ).

cnf(c_0_1041_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2))
    | hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3)),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1041]) ).

cnf(c_0_1042_0,axiom,
    ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X4),X2),X5))
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X4),X3),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1042]) ).

cnf(c_0_1042_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X4),X2),X5))
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X4),X3),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1042]) ).

cnf(c_0_1042_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X4),X3),X5))
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X4),X2),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1042]) ).

cnf(c_0_1043_0,axiom,
    ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X5))
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))
    | ~ hBOOL(hAPP(hAPP(X1,X4),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1043]) ).

cnf(c_0_1043_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))
    | hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X5))
    | ~ hBOOL(hAPP(hAPP(X1,X4),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1043]) ).

cnf(c_0_1043_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(X1,X4),X5))
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))
    | hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1043]) ).

cnf(c_0_1044_0,axiom,
    ( hAPP(c_Type_Oshift(X3,X2,X4,X5),X1) = hAPP(X3,X1)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1044]) ).

cnf(c_0_1044_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | hAPP(c_Type_Oshift(X3,X2,X4,X5),X1) = hAPP(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1044]) ).

cnf(c_0_1045_0,axiom,
    ( c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X3,X4),X4)
    | ~ hBOOL(hAPP(hAPP(X1,X2),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1045]) ).

cnf(c_0_1045_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(X1,X2),X5))
    | c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1045]) ).

cnf(c_0_1046_0,axiom,
    ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Olift(X1,X3)),c_Lambda_Olift(X2,X3)))
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1046]) ).

cnf(c_0_1046_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2))
    | hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Olift(X1,X3)),c_Lambda_Olift(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1046]) ).

cnf(c_0_1047_0,axiom,
    ( X1 = X2
    | c_List_Oappend(X1,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X2,c_List_Olist_OCons(X5,c_List_Olist_ONil(X4),X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1047]) ).

cnf(c_0_1047_1,axiom,
    ( c_List_Oappend(X1,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X2,c_List_Olist_OCons(X5,c_List_Olist_ONil(X4),X4),X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1047]) ).

cnf(c_0_1048_0,axiom,
    ( X1 = X2
    | c_List_Oappend(X3,c_List_Olist_OCons(X1,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X5,c_List_Olist_OCons(X2,c_List_Olist_ONil(X4),X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1048]) ).

cnf(c_0_1048_1,axiom,
    ( c_List_Oappend(X3,c_List_Olist_OCons(X1,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X5,c_List_Olist_OCons(X2,c_List_Olist_ONil(X4),X4),X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1048]) ).

cnf(c_0_1049_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1049]) ).

cnf(c_0_1049_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1049]) ).

cnf(c_0_1050_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,X4,X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1050]) ).

cnf(c_0_1050_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3),X1)
    | c_HOL_Oord__class_Oless(X2,X4,X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1050]) ).

cnf(c_0_1050_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3),X1)
    | c_HOL_Oord__class_Oless(X2,X4,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1050]) ).

cnf(c_0_1051_0,axiom,
    ( c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1051]) ).

cnf(c_0_1051_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)
    | c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1051]) ).

cnf(c_0_1051_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)
    | c_HOL_Oord__class_Oless(X3,X4,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1051]) ).

cnf(c_0_1052_0,axiom,
    ( hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__3__1(X3,X1,X2)),c_Type_Osko__Type__Xtyping__elims__3__2(X3,X1,X2)) = X3
    | ~ c_Type_Otyping(X1,c_Lambda_OdB_OAbs(X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1052]) ).

cnf(c_0_1052_1,axiom,
    ( ~ c_Type_Otyping(X1,c_Lambda_OdB_OAbs(X2),X3)
    | hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__3__1(X3,X1,X2)),c_Type_Osko__Type__Xtyping__elims__3__2(X3,X1,X2)) = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_1052]) ).

cnf(c_0_1053_0,axiom,
    ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_OdB_OAbs(X1)),c_Lambda_OdB_OAbs(X2)))
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1053]) ).

cnf(c_0_1053_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2))
    | hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_OdB_OAbs(X1)),c_Lambda_OdB_OAbs(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_1053]) ).

cnf(c_0_1054_0,axiom,
    ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X1),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X2),X5),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1054]) ).

cnf(c_0_1054_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X1),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X2),X5),X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1054]) ).

cnf(c_0_1054_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X1),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X2),X5),X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1054]) ).

cnf(c_0_1054_3,axiom,
    ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X1),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X2),X5),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1054]) ).

cnf(c_0_1055_0,axiom,
    ( c_Wellfounded_Oaccp(X1,X4,X3)
    | ~ c_Wellfounded_Oaccp(X1,X2,X3)
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X3),X4),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1055]) ).

cnf(c_0_1055_1,axiom,
    ( ~ c_Wellfounded_Oaccp(X1,X2,X3)
    | c_Wellfounded_Oaccp(X1,X4,X3)
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X3),X4),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1055]) ).

cnf(c_0_1055_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X3),X4),X2))
    | ~ c_Wellfounded_Oaccp(X1,X2,X3)
    | c_Wellfounded_Oaccp(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1055]) ).

cnf(c_0_1056_0,axiom,
    ( c_Wellfounded_Oaccp(X1,X3,X2)
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))
    | ~ c_Wellfounded_Oaccp(X1,X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1056]) ).

cnf(c_0_1056_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))
    | c_Wellfounded_Oaccp(X1,X3,X2)
    | ~ c_Wellfounded_Oaccp(X1,X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1056]) ).

cnf(c_0_1056_2,axiom,
    ( ~ c_Wellfounded_Oaccp(X1,X4,X2)
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))
    | c_Wellfounded_Oaccp(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1056]) ).

cnf(c_0_1057_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1057]) ).

cnf(c_0_1057_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1057]) ).

cnf(c_0_1058_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1058]) ).

cnf(c_0_1058_1,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1058]) ).

cnf(c_0_1059_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
    | ~ class_OrderedGroup_Oab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1059]) ).

cnf(c_0_1059_1,axiom,
    ( ~ class_OrderedGroup_Oab__semigroup__add(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1059]) ).

cnf(c_0_1060_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1060]) ).

cnf(c_0_1060_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1060]) ).

cnf(c_0_1061_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1061]) ).

cnf(c_0_1061_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1061]) ).

cnf(c_0_1062_0,axiom,
    ( c_Type_Otyping(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X5),X4)
    | ~ c_Type_Otyping(X1,X2,hAPP(hAPP(c_Type_Otype_OFun,X3),X4))
    | ~ c_Type_Otyping(X1,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1062]) ).

cnf(c_0_1062_1,axiom,
    ( ~ c_Type_Otyping(X1,X2,hAPP(hAPP(c_Type_Otype_OFun,X3),X4))
    | c_Type_Otyping(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X5),X4)
    | ~ c_Type_Otyping(X1,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1062]) ).

cnf(c_0_1062_2,axiom,
    ( ~ c_Type_Otyping(X1,X5,X3)
    | ~ c_Type_Otyping(X1,X2,hAPP(hAPP(c_Type_Otype_OFun,X3),X4))
    | c_Type_Otyping(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X5),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1062]) ).

cnf(c_0_1063_0,axiom,
    ( c_Type_Otyping(X3,X2,X4)
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2))
    | ~ c_Type_Otyping(X3,X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1063]) ).

cnf(c_0_1063_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2))
    | c_Type_Otyping(X3,X2,X4)
    | ~ c_Type_Otyping(X3,X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1063]) ).

cnf(c_0_1063_2,axiom,
    ( ~ c_Type_Otyping(X3,X1,X4)
    | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2))
    | c_Type_Otyping(X3,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1063]) ).

cnf(c_0_1064_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) = X4
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X5),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X5),X4)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1064]) ).

cnf(c_0_1064_1,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X5),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X5),X4)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) = X4
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1064]) ).

cnf(c_0_1064_2,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X5),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X5),X4)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) = X4 ),
    inference(literals_permutation,[status(thm)],[c_0_1064]) ).

cnf(c_0_1065_0,axiom,
    ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1065]) ).

cnf(c_0_1065_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1065]) ).

cnf(c_0_1065_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1065]) ).

cnf(c_0_1065_3,axiom,
    ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3),c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1065]) ).

cnf(c_0_1066_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1066]) ).

cnf(c_0_1066_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1066]) ).

cnf(c_0_1066_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1066]) ).

cnf(c_0_1066_3,axiom,
    ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1066]) ).

cnf(c_0_1067_0,axiom,
    ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X1),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X2),X4),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1067]) ).

cnf(c_0_1067_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X1),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X2),X4),X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1067]) ).

cnf(c_0_1067_2,axiom,
    ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X1),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X2),X4),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1067]) ).

cnf(c_0_1068_0,axiom,
    ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X1),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X2),X4),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1068]) ).

cnf(c_0_1068_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X1),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X2),X4),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1068]) ).

cnf(c_0_1068_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X1),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X2),X4),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1068]) ).

cnf(c_0_1069_0,axiom,
    ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X2),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1069]) ).

cnf(c_0_1069_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X2),X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1069]) ).

cnf(c_0_1069_2,axiom,
    ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1069]) ).

cnf(c_0_1070_0,axiom,
    ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X2),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1070]) ).

cnf(c_0_1070_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X2),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1070]) ).

cnf(c_0_1070_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1070]) ).

cnf(c_0_1071_0,axiom,
    ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Olift(X1,X3)),c_Lambda_Olift(X2,X3)))
    | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1071]) ).

cnf(c_0_1071_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2))
    | hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Olift(X1,X3)),c_Lambda_Olift(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1071]) ).

cnf(c_0_1072_0,axiom,
    ( c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1072]) ).

cnf(c_0_1072_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1072]) ).

cnf(c_0_1072_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1072]) ).

cnf(c_0_1072_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1072]) ).

cnf(c_0_1073_0,axiom,
    ( c_List_Olistsp(X1,c_List_Oappend(X2,X4,X3),X3)
    | ~ c_List_Olistsp(X1,X2,X3)
    | ~ c_List_Olistsp(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1073]) ).

cnf(c_0_1073_1,axiom,
    ( ~ c_List_Olistsp(X1,X2,X3)
    | c_List_Olistsp(X1,c_List_Oappend(X2,X4,X3),X3)
    | ~ c_List_Olistsp(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1073]) ).

cnf(c_0_1073_2,axiom,
    ( ~ c_List_Olistsp(X1,X4,X3)
    | ~ c_List_Olistsp(X1,X2,X3)
    | c_List_Olistsp(X1,c_List_Oappend(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1073]) ).

cnf(c_0_1074_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1074]) ).

cnf(c_0_1074_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1074]) ).

cnf(c_0_1074_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1074]) ).

cnf(c_0_1075_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1075]) ).

cnf(c_0_1075_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1075]) ).

cnf(c_0_1075_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1075]) ).

cnf(c_0_1076_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1076]) ).

cnf(c_0_1076_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1076]) ).

cnf(c_0_1076_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1076]) ).

cnf(c_0_1077_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1077]) ).

cnf(c_0_1077_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1077]) ).

cnf(c_0_1078_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1078]) ).

cnf(c_0_1078_1,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1078]) ).

cnf(c_0_1079_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1079]) ).

cnf(c_0_1079_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1079]) ).

cnf(c_0_1080_0,axiom,
    ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X4),X2),X3))
    | ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1080]) ).

cnf(c_0_1080_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X4),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1080]) ).

cnf(c_0_1081_0,axiom,
    ( c_List_Olistsp(X1,X3,X4)
    | ~ c_List_Olistsp(X1,c_List_Oappend(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1081]) ).

cnf(c_0_1081_1,axiom,
    ( ~ c_List_Olistsp(X1,c_List_Oappend(X2,X3,X4),X4)
    | c_List_Olistsp(X1,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1081]) ).

cnf(c_0_1082_0,axiom,
    ( c_List_Olistsp(X1,X2,X4)
    | ~ c_List_Olistsp(X1,c_List_Oappend(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1082]) ).

cnf(c_0_1082_1,axiom,
    ( ~ c_List_Olistsp(X1,c_List_Oappend(X2,X3,X4),X4)
    | c_List_Olistsp(X1,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1082]) ).

cnf(c_0_1083_0,axiom,
    ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X1,c_Lambda_OdB_OVar(X2),X3)))
    | ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1083]) ).

cnf(c_0_1083_1,axiom,
    ( ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
    | hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X1,c_Lambda_OdB_OVar(X2),X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1083]) ).

cnf(c_0_1084_0,axiom,
    ( X1 = c_List_Oappend(c_List_Orev(X2,X3),c_List_Olist_OCons(X4,c_List_Olist_ONil(X3),X3),X3)
    | c_List_Orev(X1,X3) != c_List_Olist_OCons(X4,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1084]) ).

cnf(c_0_1084_1,axiom,
    ( c_List_Orev(X1,X3) != c_List_Olist_OCons(X4,X2,X3)
    | X1 = c_List_Oappend(c_List_Orev(X2,X3),c_List_Olist_OCons(X4,c_List_Olist_ONil(X3),X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1084]) ).

cnf(c_0_1085_0,axiom,
    ( c_List_Otake(X1,c_List_Obutlast(X2,X3),X3) = c_List_Otake(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1085]) ).

cnf(c_0_1085_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat)
    | c_List_Otake(X1,c_List_Obutlast(X2,X3),X3) = c_List_Otake(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1085]) ).

cnf(c_0_1086_0,axiom,
    ( c_Wellfounded_Oaccp(X1,X4,X3)
    | ~ c_Wellfounded_Oaccp(X1,X2,X3)
    | ~ hBOOL(hAPP(hAPP(X1,X4),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1086]) ).

cnf(c_0_1086_1,axiom,
    ( ~ c_Wellfounded_Oaccp(X1,X2,X3)
    | c_Wellfounded_Oaccp(X1,X4,X3)
    | ~ hBOOL(hAPP(hAPP(X1,X4),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1086]) ).

cnf(c_0_1086_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(X1,X4),X2))
    | ~ c_Wellfounded_Oaccp(X1,X2,X3)
    | c_Wellfounded_Oaccp(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1086]) ).

cnf(c_0_1087_0,axiom,
    ( c_Wellfounded_Oaccp(X1,X4,X3)
    | ~ c_Wellfounded_Oaccp(X1,X2,X3)
    | ~ hBOOL(hAPP(hAPP(X1,X4),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1087]) ).

cnf(c_0_1087_1,axiom,
    ( ~ c_Wellfounded_Oaccp(X1,X2,X3)
    | c_Wellfounded_Oaccp(X1,X4,X3)
    | ~ hBOOL(hAPP(hAPP(X1,X4),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1087]) ).

cnf(c_0_1087_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(X1,X4),X2))
    | ~ c_Wellfounded_Oaccp(X1,X2,X3)
    | c_Wellfounded_Oaccp(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1087]) ).

cnf(c_0_1088_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1088]) ).

cnf(c_0_1088_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1088]) ).

cnf(c_0_1088_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1088]) ).

cnf(c_0_1089_0,axiom,
    ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X1),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1089]) ).

cnf(c_0_1089_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X1),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1089]) ).

cnf(c_0_1089_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X1),c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1089]) ).

cnf(c_0_1090_0,axiom,
    ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X1),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1090]) ).

cnf(c_0_1090_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X1),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1090]) ).

cnf(c_0_1090_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X1),c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1090]) ).

cnf(c_0_1091_0,axiom,
    ( hBOOL(hAPP(c_InductTermi_OIT,X1))
    | ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),X1,tc_Lambda_OdB) ),
    inference(literals_permutation,[status(thm)],[c_0_1091]) ).

cnf(c_0_1091_1,axiom,
    ( ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),X1,tc_Lambda_OdB)
    | hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1091]) ).

cnf(c_0_1092_0,axiom,
    ( c_Type_Otyping(X1,X4,X3)
    | ~ c_Type_Otyping(X1,X2,X3)
    | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X2),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1092]) ).

cnf(c_0_1092_1,axiom,
    ( ~ c_Type_Otyping(X1,X2,X3)
    | c_Type_Otyping(X1,X4,X3)
    | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X2),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1092]) ).

cnf(c_0_1092_2,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X2),X4))
    | ~ c_Type_Otyping(X1,X2,X3)
    | c_Type_Otyping(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1092]) ).

cnf(c_0_1093_0,axiom,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Oappend(c_List_Obutlast(X1,X2),c_List_Olist_OCons(c_List_Olast(X1,X2),c_List_Olist_ONil(X2),X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_1093]) ).

cnf(c_0_1093_1,axiom,
    ( c_List_Oappend(c_List_Obutlast(X1,X2),c_List_Olist_OCons(c_List_Olast(X1,X2),c_List_Olist_ONil(X2),X2),X2) = X1
    | X1 = c_List_Olist_ONil(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1093]) ).

cnf(c_0_1094_0,axiom,
    ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,X1),c_Lambda_OdB_OVar(X2))))
    | ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1094]) ).

cnf(c_0_1094_1,axiom,
    ( ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
    | hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,X1),c_Lambda_OdB_OVar(X2)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1094]) ).

cnf(c_0_1095_0,axiom,
    ( c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1095]) ).

cnf(c_0_1095_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1095]) ).

cnf(c_0_1095_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1095]) ).

cnf(c_0_1095_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1095]) ).

cnf(c_0_1096_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1096]) ).

cnf(c_0_1096_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1096]) ).

cnf(c_0_1096_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1096]) ).

cnf(c_0_1096_3,axiom,
    ( ~ class_Orderings_Opreorder(X3)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1096]) ).

cnf(c_0_1097_0,axiom,
    ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(X1)),c_Lambda_OdB_OAbs(X2)))
    | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1097]) ).

cnf(c_0_1097_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2))
    | hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(X1)),c_Lambda_OdB_OAbs(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_1097]) ).

cnf(c_0_1098_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X3,tc_nat)
    | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_Nat_Osemiring__1__class_Oof__nat(X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1098]) ).

cnf(c_0_1098_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_Nat_Osemiring__1__class_Oof__nat(X3,X2),X2)
    | c_HOL_Oord__class_Oless(X1,X3,tc_nat)
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1098]) ).

cnf(c_0_1098_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X2)
    | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_Nat_Osemiring__1__class_Oof__nat(X3,X2),X2)
    | c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1098]) ).

cnf(c_0_1099_0,axiom,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Olist_OCons(X3,c_List_Obutlast(X1,X2),X2) = c_List_Obutlast(c_List_Olist_OCons(X3,X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1099]) ).

cnf(c_0_1099_1,axiom,
    ( c_List_Olist_OCons(X3,c_List_Obutlast(X1,X2),X2) = c_List_Obutlast(c_List_Olist_OCons(X3,X1,X2),X2)
    | X1 = c_List_Olist_ONil(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1099]) ).

cnf(c_0_1100_0,axiom,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Oappend(X3,c_List_Obutlast(X1,X2),X2) = c_List_Obutlast(c_List_Oappend(X3,X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1100]) ).

cnf(c_0_1100_1,axiom,
    ( c_List_Oappend(X3,c_List_Obutlast(X1,X2),X2) = c_List_Obutlast(c_List_Oappend(X3,X1,X2),X2)
    | X1 = c_List_Olist_ONil(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1100]) ).

cnf(c_0_1101_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1101]) ).

cnf(c_0_1101_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1101]) ).

cnf(c_0_1101_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1101]) ).

cnf(c_0_1102_0,axiom,
    ( c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X3),c_Nat_Osemiring__1__class_Oof__nat(X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1102]) ).

cnf(c_0_1102_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X3),c_Nat_Osemiring__1__class_Oof__nat(X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1102]) ).

cnf(c_0_1102_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X3),c_Nat_Osemiring__1__class_Oof__nat(X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1102]) ).

cnf(c_0_1103_0,axiom,
    ( c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),X1,tc_Lambda_OdB)
    | ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1103]) ).

cnf(c_0_1103_1,axiom,
    ( ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
    | c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),X1,tc_Lambda_OdB) ),
    inference(literals_permutation,[status(thm)],[c_0_1103]) ).

cnf(c_0_1104_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
    | hBOOL(hAPP(hAPP(X3,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1104]) ).

cnf(c_0_1104_1,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
    | hBOOL(hAPP(hAPP(X3,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1104]) ).

cnf(c_0_1104_2,axiom,
    ( c_HOL_Oord__class_Oless(X2,X1,tc_nat)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | hBOOL(hAPP(hAPP(X3,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1104]) ).

cnf(c_0_1104_3,axiom,
    ( hBOOL(hAPP(hAPP(X3,X2),X1))
    | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1104]) ).

cnf(c_0_1105_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1105]) ).

cnf(c_0_1105_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1105]) ).

cnf(c_0_1105_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1105]) ).

cnf(c_0_1106_0,axiom,
    ( X1 = X2
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X2)
    | ~ class_Int_Onumber__ring(X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1106]) ).

cnf(c_0_1106_1,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X2)
    | X1 = X2
    | ~ class_Int_Onumber__ring(X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1106]) ).

cnf(c_0_1106_2,axiom,
    ( ~ class_Int_Onumber__ring(X3)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X2)
    | X1 = X2
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1106]) ).

cnf(c_0_1106_3,axiom,
    ( ~ class_Ring__and__Field_Oidom(X3)
    | ~ class_Int_Onumber__ring(X3)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1106]) ).

cnf(c_0_1107_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1107]) ).

cnf(c_0_1107_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1107]) ).

cnf(c_0_1107_2,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1107]) ).

cnf(c_0_1108_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1108]) ).

cnf(c_0_1108_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1108]) ).

cnf(c_0_1108_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1108]) ).

cnf(c_0_1109_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1109]) ).

cnf(c_0_1109_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1109]) ).

cnf(c_0_1109_2,axiom,
    ( ~ class_Orderings_Opreorder(X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1109]) ).

cnf(c_0_1110_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1110]) ).

cnf(c_0_1110_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1110]) ).

cnf(c_0_1110_2,axiom,
    ( ~ class_Orderings_Opreorder(X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1110]) ).

cnf(c_0_1111_0,axiom,
    ( X1 = c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3)
    | c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3) != c_List_Orev(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1111]) ).

cnf(c_0_1111_1,axiom,
    ( c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3) != c_List_Orev(X1,X3)
    | X1 = c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1111]) ).

cnf(c_0_1112_0,axiom,
    ( X1 = c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3)
    | c_List_Orev(X1,X3) != c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1112]) ).

cnf(c_0_1112_1,axiom,
    ( c_List_Orev(X1,X3) != c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3)
    | X1 = c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1112]) ).

cnf(c_0_1113_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | X2 = X3
    | c_List_Oreplicate(X1,X2,X4) != c_List_Oreplicate(X5,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1113]) ).

cnf(c_0_1113_1,axiom,
    ( X2 = X3
    | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_List_Oreplicate(X1,X2,X4) != c_List_Oreplicate(X5,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1113]) ).

cnf(c_0_1113_2,axiom,
    ( c_List_Oreplicate(X1,X2,X4) != c_List_Oreplicate(X5,X3,X4)
    | X2 = X3
    | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1113]) ).

cnf(c_0_1114_0,axiom,
    ( X1 = X2
    | c_List_Oreplicate(X1,X3,X4) != c_List_Oreplicate(X2,X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1114]) ).

cnf(c_0_1114_1,axiom,
    ( c_List_Oreplicate(X1,X3,X4) != c_List_Oreplicate(X2,X5,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1114]) ).

cnf(c_0_1115_0,axiom,
    ( X1 = X2
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X2)
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1115]) ).

cnf(c_0_1115_1,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X2)
    | X1 = X2
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1115]) ).

cnf(c_0_1115_2,axiom,
    ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X3)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1115]) ).

cnf(c_0_1116_0,axiom,
    ( X1 = X2
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X2)
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1116]) ).

cnf(c_0_1116_1,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X2)
    | X1 = X2
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1116]) ).

cnf(c_0_1116_2,axiom,
    ( ~ class_OrderedGroup_Ocancel__semigroup__add(X3)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1116]) ).

cnf(c_0_1117_0,axiom,
    ( X1 = X2
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X1),X4) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X2),X4)
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1117]) ).

cnf(c_0_1117_1,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X1),X4) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X2),X4)
    | X1 = X2
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1117]) ).

cnf(c_0_1117_2,axiom,
    ( ~ class_OrderedGroup_Ocancel__semigroup__add(X3)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X1),X4) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X2),X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1117]) ).

cnf(c_0_1118_0,axiom,
    ( X1 = X2
    | c_List_Oappend(X1,X3,X4) != c_List_Oappend(X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1118]) ).

cnf(c_0_1118_1,axiom,
    ( c_List_Oappend(X1,X3,X4) != c_List_Oappend(X2,X3,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1118]) ).

cnf(c_0_1119_0,axiom,
    ( X1 = X2
    | c_List_Oappend(X3,X1,X4) != c_List_Oappend(X3,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1119]) ).

cnf(c_0_1119_1,axiom,
    ( c_List_Oappend(X3,X1,X4) != c_List_Oappend(X3,X2,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1119]) ).

cnf(c_0_1120_0,axiom,
    ( X1 = X2
    | c_List_Olist_OCons(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1120]) ).

cnf(c_0_1120_1,axiom,
    ( c_List_Olist_OCons(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1120]) ).

cnf(c_0_1121_0,axiom,
    ( X1 = X2
    | c_List_Olist_OCons(X3,X1,X4) != c_List_Olist_OCons(X5,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1121]) ).

cnf(c_0_1121_1,axiom,
    ( c_List_Olist_OCons(X3,X1,X4) != c_List_Olist_OCons(X5,X2,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1121]) ).

cnf(c_0_1122_0,axiom,
    ( X2 = X3
    | ~ hBOOL(hAPP(hAPP(c_fequal(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1122]) ).

cnf(c_0_1122_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_fequal(X1),X2),X3))
    | X2 = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_1122]) ).

cnf(c_0_1123_0,axiom,
    ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X3,X2) = c_Lambda_OdB_OVar(X1)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1123]) ).

cnf(c_0_1123_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X3,X2) = c_Lambda_OdB_OVar(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1123]) ).

cnf(c_0_1124_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1124]) ).

cnf(c_0_1124_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X2)
    | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1124]) ).

cnf(c_0_1125_0,axiom,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Olast(c_List_Olist_OCons(X3,X1,X2),X2) = c_List_Olast(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1125]) ).

cnf(c_0_1125_1,axiom,
    ( c_List_Olast(c_List_Olist_OCons(X3,X1,X2),X2) = c_List_Olast(X1,X2)
    | X1 = c_List_Olist_ONil(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1125]) ).

cnf(c_0_1126_0,axiom,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Olast(c_List_Oappend(X3,X1,X2),X2) = c_List_Olast(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1126]) ).

cnf(c_0_1126_1,axiom,
    ( c_List_Olast(c_List_Oappend(X3,X1,X2),X2) = c_List_Olast(X1,X2)
    | X1 = c_List_Olist_ONil(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1126]) ).

cnf(c_0_1127_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_List_Olast(c_List_Oreplicate(X1,X2,X3),X3) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1127]) ).

cnf(c_0_1127_1,axiom,
    ( c_List_Olast(c_List_Oreplicate(X1,X2,X3),X3) = X2
    | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1127]) ).

cnf(c_0_1128_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X1,X3))
    | c_Type_Osko__Type__Xtype__induct__1__1(X1) != hAPP(hAPP(c_Type_Otype_OFun,X4),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1128]) ).

cnf(c_0_1128_1,axiom,
    ( hBOOL(hAPP(X1,X3))
    | hBOOL(hAPP(X1,X2))
    | c_Type_Osko__Type__Xtype__induct__1__1(X1) != hAPP(hAPP(c_Type_Otype_OFun,X4),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1128]) ).

cnf(c_0_1128_2,axiom,
    ( c_Type_Osko__Type__Xtype__induct__1__1(X1) != hAPP(hAPP(c_Type_Otype_OFun,X4),X2)
    | hBOOL(hAPP(X1,X3))
    | hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1128]) ).

cnf(c_0_1129_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X1,X3))
    | c_Type_Osko__Type__Xtype__induct__1__1(X1) != hAPP(hAPP(c_Type_Otype_OFun,X2),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1129]) ).

cnf(c_0_1129_1,axiom,
    ( hBOOL(hAPP(X1,X3))
    | hBOOL(hAPP(X1,X2))
    | c_Type_Osko__Type__Xtype__induct__1__1(X1) != hAPP(hAPP(c_Type_Otype_OFun,X2),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1129]) ).

cnf(c_0_1129_2,axiom,
    ( c_Type_Osko__Type__Xtype__induct__1__1(X1) != hAPP(hAPP(c_Type_Otype_OFun,X2),X4)
    | hBOOL(hAPP(X1,X3))
    | hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1129]) ).

cnf(c_0_1130_0,axiom,
    ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Olift(X1,X2)))
    | ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1130]) ).

cnf(c_0_1130_1,axiom,
    ( ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
    | hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Olift(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_1130]) ).

cnf(c_0_1131_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | X2 = X1
    | c_Lambda_Osubst(c_Lambda_OdB_OVar(X2),X3,X1) = c_Lambda_OdB_OVar(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1131]) ).

cnf(c_0_1131_1,axiom,
    ( X2 = X1
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | c_Lambda_Osubst(c_Lambda_OdB_OVar(X2),X3,X1) = c_Lambda_OdB_OVar(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1131]) ).

cnf(c_0_1131_2,axiom,
    ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X2),X3,X1) = c_Lambda_OdB_OVar(X2)
    | X2 = X1
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1131]) ).

cnf(c_0_1132_0,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1132]) ).

cnf(c_0_1132_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1132]) ).

cnf(c_0_1132_2,axiom,
    ( c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1132]) ).

cnf(c_0_1132_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1132]) ).

cnf(c_0_1133_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | X1 = X2
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1133]) ).

cnf(c_0_1133_1,axiom,
    ( c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1133]) ).

cnf(c_0_1133_2,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1133]) ).

cnf(c_0_1133_3,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1133]) ).

cnf(c_0_1134_0,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1134]) ).

cnf(c_0_1134_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1134]) ).

cnf(c_0_1134_2,axiom,
    ( c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1134]) ).

cnf(c_0_1134_3,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1134]) ).

cnf(c_0_1135_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1135]) ).

cnf(c_0_1135_1,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1135]) ).

cnf(c_0_1135_2,axiom,
    ( c_HOL_Oord__class_Oless(X2,X1,X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1135]) ).

cnf(c_0_1135_3,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1135]) ).

cnf(c_0_1136_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | X2 = X1
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1136]) ).

cnf(c_0_1136_1,axiom,
    ( c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X2 = X1
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1136]) ).

cnf(c_0_1136_2,axiom,
    ( X2 = X1
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1136]) ).

cnf(c_0_1136_3,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | X2 = X1
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1136]) ).

cnf(c_0_1137_0,axiom,
    ( X1 = X2
    | hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X4),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1137]) ).

cnf(c_0_1137_1,axiom,
    ( hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X4),X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1137]) ).

cnf(c_0_1138_0,axiom,
    ( X1 = X2
    | hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1138]) ).

cnf(c_0_1138_1,axiom,
    ( hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1138]) ).

cnf(c_0_1139_0,axiom,
    ( X1 = X2
    | hAPP(hAPP(c_Type_Otype_OFun,X1),X3) != hAPP(hAPP(c_Type_Otype_OFun,X2),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1139]) ).

cnf(c_0_1139_1,axiom,
    ( hAPP(hAPP(c_Type_Otype_OFun,X1),X3) != hAPP(hAPP(c_Type_Otype_OFun,X2),X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1139]) ).

cnf(c_0_1140_0,axiom,
    ( X1 = X2
    | hAPP(hAPP(c_Type_Otype_OFun,X3),X1) != hAPP(hAPP(c_Type_Otype_OFun,X4),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1140]) ).

cnf(c_0_1140_1,axiom,
    ( hAPP(hAPP(c_Type_Otype_OFun,X3),X1) != hAPP(hAPP(c_Type_Otype_OFun,X4),X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1140]) ).

cnf(c_0_1141_0,axiom,
    ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X1) = X2
    | c_HOL_Oord__class_Oless(X1,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1141]) ).

cnf(c_0_1141_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,X1,tc_nat)
    | c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X1) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1141]) ).

cnf(c_0_1142_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1142]) ).

cnf(c_0_1142_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1142]) ).

cnf(c_0_1143_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1143]) ).

cnf(c_0_1143_1,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1143]) ).

cnf(c_0_1144_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1144]) ).

cnf(c_0_1144_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1144]) ).

cnf(c_0_1145_0,axiom,
    ( hAPP(X1,X2) = X3
    | ~ c_Type_Otyping(X1,c_Lambda_OdB_OVar(X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1145]) ).

cnf(c_0_1145_1,axiom,
    ( ~ c_Type_Otyping(X1,c_Lambda_OdB_OVar(X2),X3)
    | hAPP(X1,X2) = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_1145]) ).

cnf(c_0_1146_0,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1146]) ).

cnf(c_0_1146_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1146]) ).

cnf(c_0_1146_2,axiom,
    ( c_HOL_Oord__class_Oless(X2,X1,tc_nat)
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1146]) ).

cnf(c_0_1147_0,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1147]) ).

cnf(c_0_1147_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1147]) ).

cnf(c_0_1147_2,axiom,
    ( c_HOL_Oord__class_Oless(X2,X1,tc_nat)
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1147]) ).

cnf(c_0_1148_0,axiom,
    ( c_Lambda_Olift(c_Lambda_OdB_OVar(X1),X2) = c_Lambda_OdB_OVar(X1)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1148]) ).

cnf(c_0_1148_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | c_Lambda_Olift(c_Lambda_OdB_OVar(X1),X2) = c_Lambda_OdB_OVar(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1148]) ).

cnf(c_0_1149_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1) != X3
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1149]) ).

cnf(c_0_1149_1,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1) != X3
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1149]) ).

cnf(c_0_1149_2,axiom,
    ( ~ class_Int_Onumber__ring(X2)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1) != X3
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1149]) ).

cnf(c_0_1149_3,axiom,
    ( ~ class_Ring__and__Field_Oidom(X2)
    | ~ class_Int_Onumber__ring(X2)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1) != X3
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1149]) ).

cnf(c_0_1150_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | X2 = c_List_Olist_ONil(X3)
    | c_List_Otake(X1,X2,X3) != c_List_Olist_ONil(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1150]) ).

cnf(c_0_1150_1,axiom,
    ( X2 = c_List_Olist_ONil(X3)
    | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_List_Otake(X1,X2,X3) != c_List_Olist_ONil(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1150]) ).

cnf(c_0_1150_2,axiom,
    ( c_List_Otake(X1,X2,X3) != c_List_Olist_ONil(X3)
    | X2 = c_List_Olist_ONil(X3)
    | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1150]) ).

cnf(c_0_1151_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X1) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1151]) ).

cnf(c_0_1151_1,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X1) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1151]) ).

cnf(c_0_1151_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X1) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1151]) ).

cnf(c_0_1152_0,axiom,
    ( X1 = c_List_Olist_ONil(X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1152]) ).

cnf(c_0_1152_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat)
    | X1 = c_List_Olist_ONil(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1152]) ).

cnf(c_0_1153_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X1,c_Type_Osko__Type__Xtype__induct__1__1(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_1153]) ).

cnf(c_0_1153_1,axiom,
    ( ~ hBOOL(hAPP(X1,c_Type_Osko__Type__Xtype__induct__1__1(X1)))
    | hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1153]) ).

cnf(c_0_1154_0,axiom,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Oappend(X1,X3,X2) != c_List_Olist_ONil(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1154]) ).

cnf(c_0_1154_1,axiom,
    ( c_List_Oappend(X1,X3,X2) != c_List_Olist_ONil(X2)
    | X1 = c_List_Olist_ONil(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1154]) ).

cnf(c_0_1155_0,axiom,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Oappend(X3,X1,X2) != c_List_Olist_ONil(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1155]) ).

cnf(c_0_1155_1,axiom,
    ( c_List_Oappend(X3,X1,X2) != c_List_Olist_ONil(X2)
    | X1 = c_List_Olist_ONil(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1155]) ).

cnf(c_0_1156_0,axiom,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Oappend(X1,X3,X2) != c_List_Olist_ONil(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1156]) ).

cnf(c_0_1156_1,axiom,
    ( c_List_Oappend(X1,X3,X2) != c_List_Olist_ONil(X2)
    | X1 = c_List_Olist_ONil(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1156]) ).

cnf(c_0_1157_0,axiom,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Oappend(X3,X1,X2) != c_List_Olist_ONil(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1157]) ).

cnf(c_0_1157_1,axiom,
    ( c_List_Oappend(X3,X1,X2) != c_List_Olist_ONil(X2)
    | X1 = c_List_Olist_ONil(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1157]) ).

cnf(c_0_1158_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_List_Oreplicate(X1,X2,X3) != c_List_Olist_ONil(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1158]) ).

cnf(c_0_1158_1,axiom,
    ( c_List_Oreplicate(X1,X2,X3) != c_List_Olist_ONil(X3)
    | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1158]) ).

cnf(c_0_1159_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_List_Oreplicate(X1,X3,X2) != c_List_Olist_ONil(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1159]) ).

cnf(c_0_1159_1,axiom,
    ( c_List_Oreplicate(X1,X3,X2) != c_List_Olist_ONil(X2)
    | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1159]) ).

cnf(c_0_1160_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1160]) ).

cnf(c_0_1160_1,axiom,
    ( ~ class_Orderings_Oorder(X2)
    | ~ c_HOL_Oord__class_Oless(X1,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1160]) ).

cnf(c_0_1161_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1161]) ).

cnf(c_0_1161_1,axiom,
    ( ~ class_Orderings_Olinorder(X2)
    | ~ c_HOL_Oord__class_Oless(X1,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1161]) ).

cnf(c_0_1162_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Opreorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1162]) ).

cnf(c_0_1162_1,axiom,
    ( ~ class_Orderings_Opreorder(X2)
    | ~ c_HOL_Oord__class_Oless(X1,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1162]) ).

cnf(c_0_1163_0,axiom,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Oappend(X3,X1,X2) != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_1163]) ).

cnf(c_0_1163_1,axiom,
    ( c_List_Oappend(X3,X1,X2) != X3
    | X1 = c_List_Olist_ONil(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1163]) ).

cnf(c_0_1164_0,axiom,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Oappend(X3,X1,X2) != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_1164]) ).

cnf(c_0_1164_1,axiom,
    ( c_List_Oappend(X3,X1,X2) != X3
    | X1 = c_List_Olist_ONil(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1164]) ).

cnf(c_0_1165_0,axiom,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Oappend(X1,X3,X2) != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_1165]) ).

cnf(c_0_1165_1,axiom,
    ( c_List_Oappend(X1,X3,X2) != X3
    | X1 = c_List_Olist_ONil(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1165]) ).

cnf(c_0_1166_0,axiom,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Oappend(X1,X3,X2) != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_1166]) ).

cnf(c_0_1166_1,axiom,
    ( c_List_Oappend(X1,X3,X2) != X3
    | X1 = c_List_Olist_ONil(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1166]) ).

cnf(c_0_1167_0,axiom,
    ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(X1)))
    | ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1167]) ).

cnf(c_0_1167_1,axiom,
    ( ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
    | hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_1167]) ).

cnf(c_0_1168_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1168]) ).

cnf(c_0_1168_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1168]) ).

cnf(c_0_1169_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),c_HOL_Ozero__class_Ozero(X2)) = X1
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1169]) ).

cnf(c_0_1169_1,axiom,
    ( ~ class_Int_Onumber__ring(X2)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),c_HOL_Ozero__class_Ozero(X2)) = X1
    | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1169]) ).

cnf(c_0_1169_2,axiom,
    ( ~ class_Ring__and__Field_Oidom(X2)
    | ~ class_Int_Onumber__ring(X2)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),c_HOL_Ozero__class_Ozero(X2)) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_1169]) ).

cnf(c_0_1170_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1170]) ).

cnf(c_0_1170_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1170]) ).

cnf(c_0_1171_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = X2
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1171]) ).

cnf(c_0_1171_1,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1171]) ).

cnf(c_0_1172_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = X2
    | ~ class_OrderedGroup_Omonoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1172]) ).

cnf(c_0_1172_1,axiom,
    ( ~ class_OrderedGroup_Omonoid__add(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1172]) ).

cnf(c_0_1173_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1173]) ).

cnf(c_0_1173_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1173]) ).

cnf(c_0_1174_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = X2
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1174]) ).

cnf(c_0_1174_1,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1174]) ).

cnf(c_0_1175_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = X2
    | ~ class_OrderedGroup_Omonoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1175]) ).

cnf(c_0_1175_1,axiom,
    ( ~ class_OrderedGroup_Omonoid__add(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1175]) ).

cnf(c_0_1176_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1176]) ).

cnf(c_0_1176_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1176]) ).

cnf(c_0_1177_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1177]) ).

cnf(c_0_1177_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
    | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1177]) ).

cnf(c_0_1178_0,axiom,
    ( X1 = X2
    | c_Nat_Osemiring__1__class_Oof__nat(X1,X3) != c_Nat_Osemiring__1__class_Oof__nat(X2,X3)
    | ~ class_Nat_Osemiring__char__0(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1178]) ).

cnf(c_0_1178_1,axiom,
    ( c_Nat_Osemiring__1__class_Oof__nat(X1,X3) != c_Nat_Osemiring__1__class_Oof__nat(X2,X3)
    | X1 = X2
    | ~ class_Nat_Osemiring__char__0(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1178]) ).

cnf(c_0_1178_2,axiom,
    ( ~ class_Nat_Osemiring__char__0(X3)
    | c_Nat_Osemiring__1__class_Oof__nat(X1,X3) != c_Nat_Osemiring__1__class_Oof__nat(X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1178]) ).

cnf(c_0_1179_0,axiom,
    ( X1 = X2
    | c_List_Orev(X1,X3) != c_List_Orev(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1179]) ).

cnf(c_0_1179_1,axiom,
    ( c_List_Orev(X1,X3) != c_List_Orev(X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1179]) ).

cnf(c_0_1180_0,axiom,
    ( X1 = c_List_Olist_ONil(X2)
    | c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)) != c_HOL_Ozero__class_Ozero(tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_1180]) ).

cnf(c_0_1180_1,axiom,
    ( c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)) != c_HOL_Ozero__class_Ozero(tc_nat)
    | X1 = c_List_Olist_ONil(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1180]) ).

cnf(c_0_1181_0,axiom,
    ( class_Orderings_Opreorder(tc_fun(X2,X1))
    | ~ class_Orderings_Opreorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1181]) ).

cnf(c_0_1181_1,axiom,
    ( ~ class_Orderings_Opreorder(X1)
    | class_Orderings_Opreorder(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1181]) ).

cnf(c_0_1182_0,axiom,
    ( class_Orderings_Oorder(tc_fun(X2,X1))
    | ~ class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1182]) ).

cnf(c_0_1182_1,axiom,
    ( ~ class_Orderings_Oorder(X1)
    | class_Orderings_Oorder(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1182]) ).

cnf(c_0_1183_0,axiom,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Orev(X1,X2) != c_List_Olist_ONil(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1183]) ).

cnf(c_0_1183_1,axiom,
    ( c_List_Orev(X1,X2) != c_List_Olist_ONil(X2)
    | X1 = c_List_Olist_ONil(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1183]) ).

cnf(c_0_1184_0,axiom,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Orotate1(X1,X2) != c_List_Olist_ONil(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1184]) ).

cnf(c_0_1184_1,axiom,
    ( c_List_Orotate1(X1,X2) != c_List_Olist_ONil(X2)
    | X1 = c_List_Olist_ONil(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1184]) ).

cnf(c_0_1185_0,axiom,
    ( X1 = c_List_Olist_ONil(X2)
    | c_List_Orev(X1,X2) != c_List_Olist_ONil(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1185]) ).

cnf(c_0_1185_1,axiom,
    ( c_List_Orev(X1,X2) != c_List_Olist_ONil(X2)
    | X1 = c_List_Olist_ONil(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1185]) ).

cnf(c_0_1186_0,axiom,
    ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1186]) ).

cnf(c_0_1186_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring__1(X1)
    | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1186]) ).

cnf(c_0_1187_0,axiom,
    ( X1 = X2
    | c_Type_Otype_OAtom(X1) != c_Type_Otype_OAtom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1187]) ).

cnf(c_0_1187_1,axiom,
    ( c_Type_Otype_OAtom(X1) != c_Type_Otype_OAtom(X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1187]) ).

cnf(c_0_1188_0,axiom,
    ( X1 = X2
    | c_Lambda_OdB_OAbs(X1) != c_Lambda_OdB_OAbs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1188]) ).

cnf(c_0_1188_1,axiom,
    ( c_Lambda_OdB_OAbs(X1) != c_Lambda_OdB_OAbs(X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1188]) ).

cnf(c_0_1189_0,axiom,
    ( X1 = X2
    | c_Lambda_OdB_OVar(X1) != c_Lambda_OdB_OVar(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1189]) ).

cnf(c_0_1189_1,axiom,
    ( c_Lambda_OdB_OVar(X1) != c_Lambda_OdB_OVar(X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1189]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_696,negated_conjecture,
    ~ v_thesis____,
    file('<stdin>',cls_conjecture_0) ).

fof(c_0_1_697,negated_conjecture,
    ~ v_thesis____,
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_2_698,negated_conjecture,
    ~ v_thesis____,
    c_0_1 ).

cnf(c_0_3_699,negated_conjecture,
    ~ v_thesis____,
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4_700,negated_conjecture,
    ~ v_thesis____,
    c_0_3,
    [final] ).

% End CNF derivation

%-------------------------------------------------------------
% Proof by iprover

cnf(c_723,negated_conjecture,
    ~ v_thesis____,
    file('/export/starexec/sandbox/tmp/iprover_modulo_15c6ea.p',c_0_4) ).

cnf(c_989,negated_conjecture,
    ~ v_thesis____,
    inference(copy,[status(esa)],[c_723]) ).

cnf(c_993,negated_conjecture,
    ~ v_thesis____,
    inference(copy,[status(esa)],[c_989]) ).

cnf(c_994,negated_conjecture,
    ~ v_thesis____,
    inference(copy,[status(esa)],[c_993]) ).

cnf(c_995,negated_conjecture,
    ~ v_thesis____,
    inference(copy,[status(esa)],[c_994]) ).

cnf(c_3087,negated_conjecture,
    ~ v_thesis____,
    inference(copy,[status(esa)],[c_995]) ).

cnf(c_21,plain,
    ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,X0)
    | ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),hAPP(hAPP(c_Type_Otype_OFun,X0),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)))
    | v_thesis____ ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_15c6ea.p',c_0_960_0) ).

cnf(c_1762,plain,
    ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,X0)
    | ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),hAPP(hAPP(c_Type_Otype_OFun,X0),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)))
    | v_thesis____ ),
    inference(copy,[status(esa)],[c_21]) ).

cnf(c_1763,plain,
    ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),hAPP(hAPP(c_Type_Otype_OFun,X0),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)))
    | ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,X0)
    | v_thesis____ ),
    inference(rewriting,[status(thm)],[c_1762]) ).

cnf(c_3091,plain,
    ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),hAPP(hAPP(c_Type_Otype_OFun,X0),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)))
    | ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_3087,c_1763]) ).

cnf(c_3092,plain,
    ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),hAPP(hAPP(c_Type_Otype_OFun,X0),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)))
    | ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,X0) ),
    inference(rewriting,[status(thm)],[c_3091]) ).

cnf(c_103,plain,
    ( ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
    | c_Type_Otyping(X0,X1,hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(X3,X0,X1,X2)),X3)) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_15c6ea.p',c_0_995_0) ).

cnf(c_1926,plain,
    ( ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
    | c_Type_Otyping(X0,X1,hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(X3,X0,X1,X2)),X3)) ),
    inference(copy,[status(esa)],[c_103]) ).

cnf(c_3097,plain,
    ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),X0),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))
    | ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,c_Type_Osko__Type__Xtyping__elims__2__1(c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),X0)) ),
    inference(resolution,[status(thm)],[c_3092,c_1926]) ).

cnf(c_3098,plain,
    ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),X0),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))
    | ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,c_Type_Osko__Type__Xtyping__elims__2__1(c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),X0)) ),
    inference(rewriting,[status(thm)],[c_3097]) ).

cnf(c_199,plain,
    ( ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
    | c_Type_Otyping(X0,X2,c_Type_Osko__Type__Xtyping__elims__2__1(X3,X0,X1,X2)) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_15c6ea.p',c_0_1034_0) ).

cnf(c_2118,plain,
    ( ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
    | c_Type_Otyping(X0,X2,c_Type_Osko__Type__Xtyping__elims__2__1(X3,X0,X1,X2)) ),
    inference(copy,[status(esa)],[c_199]) ).

cnf(c_3147,plain,
    ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)),
    inference(resolution,[status(thm)],[c_3098,c_2118]) ).

cnf(c_3148,plain,
    ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)),
    inference(rewriting,[status(thm)],[c_3147]) ).

cnf(c_591,plain,
    c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)),
    file('/export/starexec/sandbox/tmp/iprover_modulo_15c6ea.p',c_0_687_0) ).

cnf(c_2900,plain,
    c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)),
    inference(copy,[status(esa)],[c_591]) ).

cnf(c_3154,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_3148,c_2900]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LCL787-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13  % Command  : iprover_modulo %s %d
% 0.13/0.33  % Computer : n004.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sat Jul  2 17:41:53 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running in mono-core mode
% 0.19/0.46  % Orienting using strategy Equiv(ClausalAll)
% 0.19/0.46  % Orientation found
% 0.19/0.46  % 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_7c97f1.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_15c6ea.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_0fc36b | grep -v "SZS"
% 0.19/0.48  
% 0.19/0.48  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.19/0.48  
% 0.19/0.48  % 
% 0.19/0.48  % ------  iProver source info 
% 0.19/0.48  
% 0.19/0.48  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.19/0.48  % git: non_committed_changes: true
% 0.19/0.48  % git: last_make_outside_of_git: true
% 0.19/0.48  
% 0.19/0.48  % 
% 0.19/0.48  % ------ Input Options
% 0.19/0.48  
% 0.19/0.48  % --out_options                         all
% 0.19/0.48  % --tptp_safe_out                       true
% 0.19/0.48  % --problem_path                        ""
% 0.19/0.48  % --include_path                        ""
% 0.19/0.48  % --clausifier                          .//eprover
% 0.19/0.48  % --clausifier_options                  --tstp-format  
% 0.19/0.48  % --stdin                               false
% 0.19/0.48  % --dbg_backtrace                       false
% 0.19/0.48  % --dbg_dump_prop_clauses               false
% 0.19/0.48  % --dbg_dump_prop_clauses_file          -
% 0.19/0.48  % --dbg_out_stat                        false
% 0.19/0.48  
% 0.19/0.48  % ------ General Options
% 0.19/0.48  
% 0.19/0.48  % --fof                                 false
% 0.19/0.48  % --time_out_real                       150.
% 0.19/0.48  % --time_out_prep_mult                  0.2
% 0.19/0.48  % --time_out_virtual                    -1.
% 0.19/0.48  % --schedule                            none
% 0.19/0.48  % --ground_splitting                    input
% 0.19/0.48  % --splitting_nvd                       16
% 0.19/0.48  % --non_eq_to_eq                        false
% 0.19/0.48  % --prep_gs_sim                         true
% 0.19/0.48  % --prep_unflatten                      false
% 0.19/0.48  % --prep_res_sim                        true
% 0.19/0.48  % --prep_upred                          true
% 0.19/0.48  % --res_sim_input                       true
% 0.19/0.48  % --clause_weak_htbl                    true
% 0.19/0.48  % --gc_record_bc_elim                   false
% 0.19/0.48  % --symbol_type_check                   false
% 0.19/0.48  % --clausify_out                        false
% 0.19/0.48  % --large_theory_mode                   false
% 0.19/0.48  % --prep_sem_filter                     none
% 0.19/0.48  % --prep_sem_filter_out                 false
% 0.19/0.48  % --preprocessed_out                    false
% 0.19/0.48  % --sub_typing                          false
% 0.19/0.48  % --brand_transform                     false
% 0.19/0.48  % --pure_diseq_elim                     true
% 0.19/0.48  % --min_unsat_core                      false
% 0.19/0.48  % --pred_elim                           true
% 0.19/0.48  % --add_important_lit                   false
% 0.19/0.48  % --soft_assumptions                    false
% 0.19/0.48  % --reset_solvers                       false
% 0.19/0.48  % --bc_imp_inh                          []
% 0.19/0.48  % --conj_cone_tolerance                 1.5
% 0.19/0.48  % --prolific_symb_bound                 500
% 0.19/0.48  % --lt_threshold                        2000
% 0.19/0.48  
% 0.19/0.48  % ------ SAT Options
% 0.19/0.48  
% 0.19/0.48  % --sat_mode                            false
% 0.19/0.48  % --sat_fm_restart_options              ""
% 0.19/0.48  % --sat_gr_def                          false
% 0.19/0.48  % --sat_epr_types                       true
% 0.19/0.48  % --sat_non_cyclic_types                false
% 0.19/0.48  % --sat_finite_models                   false
% 0.19/0.48  % --sat_fm_lemmas                       false
% 0.19/0.48  % --sat_fm_prep                         false
% 0.19/0.48  % --sat_fm_uc_incr                      true
% 0.19/0.48  % --sat_out_model                       small
% 0.19/0.48  % --sat_out_clauses                     false
% 0.19/0.48  
% 0.19/0.48  % ------ QBF Options
% 0.19/0.48  
% 0.19/0.48  % --qbf_mode                            false
% 0.19/0.48  % --qbf_elim_univ                       true
% 0.19/0.48  % --qbf_sk_in                           true
% 0.19/0.48  % --qbf_pred_elim                       true
% 0.19/0.48  % --qbf_split                           32
% 0.19/0.48  
% 0.19/0.48  % ------ BMC1 Options
% 0.19/0.48  
% 0.19/0.48  % --bmc1_incremental                    false
% 0.19/0.48  % --bmc1_axioms                         reachable_all
% 0.19/0.48  % --bmc1_min_bound                      0
% 0.19/0.48  % --bmc1_max_bound                      -1
% 0.19/0.48  % --bmc1_max_bound_default              -1
% 0.19/0.48  % --bmc1_symbol_reachability            true
% 0.19/0.48  % --bmc1_property_lemmas                false
% 0.19/0.48  % --bmc1_k_induction                    false
% 0.19/0.48  % --bmc1_non_equiv_states               false
% 0.19/0.48  % --bmc1_deadlock                       false
% 0.19/0.48  % --bmc1_ucm                            false
% 0.19/0.48  % --bmc1_add_unsat_core                 none
% 0.19/0.48  % --bmc1_unsat_core_children            false
% 0.19/0.48  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.19/0.48  % --bmc1_out_stat                       full
% 0.19/0.48  % --bmc1_ground_init                    false
% 0.19/0.48  % --bmc1_pre_inst_next_state            false
% 0.19/0.48  % --bmc1_pre_inst_state                 false
% 0.19/0.48  % --bmc1_pre_inst_reach_state           false
% 0.19/0.48  % --bmc1_out_unsat_core                 false
% 0.19/0.48  % --bmc1_aig_witness_out                false
% 0.19/0.48  % --bmc1_verbose                        false
% 0.19/0.48  % --bmc1_dump_clauses_tptp              false
% 2.10/2.55  % --bmc1_dump_unsat_core_tptp           false
% 2.10/2.55  % --bmc1_dump_file                      -
% 2.10/2.55  % --bmc1_ucm_expand_uc_limit            128
% 2.10/2.55  % --bmc1_ucm_n_expand_iterations        6
% 2.10/2.55  % --bmc1_ucm_extend_mode                1
% 2.10/2.55  % --bmc1_ucm_init_mode                  2
% 2.10/2.55  % --bmc1_ucm_cone_mode                  none
% 2.10/2.55  % --bmc1_ucm_reduced_relation_type      0
% 2.10/2.55  % --bmc1_ucm_relax_model                4
% 2.10/2.55  % --bmc1_ucm_full_tr_after_sat          true
% 2.10/2.55  % --bmc1_ucm_expand_neg_assumptions     false
% 2.10/2.55  % --bmc1_ucm_layered_model              none
% 2.10/2.55  % --bmc1_ucm_max_lemma_size             10
% 2.10/2.55  
% 2.10/2.55  % ------ AIG Options
% 2.10/2.55  
% 2.10/2.55  % --aig_mode                            false
% 2.10/2.55  
% 2.10/2.55  % ------ Instantiation Options
% 2.10/2.55  
% 2.10/2.55  % --instantiation_flag                  true
% 2.10/2.55  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 2.10/2.55  % --inst_solver_per_active              750
% 2.10/2.55  % --inst_solver_calls_frac              0.5
% 2.10/2.55  % --inst_passive_queue_type             priority_queues
% 2.10/2.55  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 2.10/2.56  % --inst_passive_queues_freq            [25;2]
% 2.10/2.56  % --inst_dismatching                    true
% 2.10/2.56  % --inst_eager_unprocessed_to_passive   true
% 2.10/2.56  % --inst_prop_sim_given                 true
% 2.10/2.56  % --inst_prop_sim_new                   false
% 2.10/2.56  % --inst_orphan_elimination             true
% 2.10/2.56  % --inst_learning_loop_flag             true
% 2.10/2.56  % --inst_learning_start                 3000
% 2.10/2.56  % --inst_learning_factor                2
% 2.10/2.56  % --inst_start_prop_sim_after_learn     3
% 2.10/2.56  % --inst_sel_renew                      solver
% 2.10/2.56  % --inst_lit_activity_flag              true
% 2.10/2.56  % --inst_out_proof                      true
% 2.10/2.56  
% 2.10/2.56  % ------ Resolution Options
% 2.10/2.56  
% 2.10/2.56  % --resolution_flag                     true
% 2.10/2.56  % --res_lit_sel                         kbo_max
% 2.10/2.56  % --res_to_prop_solver                  none
% 2.10/2.56  % --res_prop_simpl_new                  false
% 2.10/2.56  % --res_prop_simpl_given                false
% 2.10/2.56  % --res_passive_queue_type              priority_queues
% 2.10/2.56  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 2.10/2.56  % --res_passive_queues_freq             [15;5]
% 2.10/2.56  % --res_forward_subs                    full
% 2.10/2.56  % --res_backward_subs                   full
% 2.10/2.56  % --res_forward_subs_resolution         true
% 2.10/2.56  % --res_backward_subs_resolution        true
% 2.10/2.56  % --res_orphan_elimination              false
% 2.10/2.56  % --res_time_limit                      1000.
% 2.10/2.56  % --res_out_proof                       true
% 2.10/2.56  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_7c97f1.s
% 2.10/2.56  % --modulo                              true
% 2.10/2.56  
% 2.10/2.56  % ------ Combination Options
% 2.10/2.56  
% 2.10/2.56  % --comb_res_mult                       1000
% 2.10/2.56  % --comb_inst_mult                      300
% 2.10/2.56  % ------ 
% 2.10/2.56  
% 2.10/2.56  % ------ Parsing...% successful
% 2.10/2.56  
% 2.10/2.56  % ------ 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 % 
% 2.10/2.56  
% 2.10/2.56  % ------ Proving...
% 2.10/2.56  % ------ Problem Properties 
% 2.10/2.56  
% 2.10/2.56  % 
% 2.10/2.56  % EPR                                   false
% 2.10/2.56  % Horn                                  false
% 2.10/2.56  % Has equality                          true
% 2.10/2.56  
% 2.10/2.56  % % ------ Input Options Time Limit: Unbounded
% 2.10/2.56  
% 2.10/2.56  
% 2.10/2.56  Compiling...
% 2.10/2.56  Loading plugin: done.
% 2.10/2.56  Compiling...
% 2.10/2.56  Loading plugin: done.
% 2.10/2.56  Compiling...
% 2.10/2.56  Loading plugin: done.
% 2.10/2.56  Compiling...
% 2.10/2.56  Loading plugin: done.
% 2.10/2.56  Compiling...
% 2.10/2.56  Loading plugin: done.
% 2.10/2.56  Compiling...
% 2.10/2.56  Loading plugin: done.
% 2.10/2.56  Compiling...
% 2.10/2.56  Loading plugin: done.
% 2.10/2.56  Compiling...
% 2.10/2.56  Loading plugin: done.
% 2.10/2.56  Compiling...
% 2.10/2.56  Loading plugin: done.
% 2.10/2.56  Compiling...
% 2.10/2.56  Loading plugin: done.
% 2.10/2.56  Compiling...
% 2.10/2.56  Loading plugin: done.
% 2.10/2.56  Compiling...
% 2.10/2.56  Loading plugin: done.
% 2.10/2.56  Compiling...
% 2.10/2.56  Loading plugin: done.
% 2.10/2.56  Compiling...
% 2.10/2.56  Loading plugin: done.
% 2.10/2.56  % % ------ Current options:
% 2.10/2.56  
% 2.10/2.56  % ------ Input Options
% 2.10/2.56  
% 2.10/2.56  % --out_options                         all
% 2.10/2.56  % --tptp_safe_out                       true
% 2.10/2.56  % --problem_path                        ""
% 2.10/2.56  % --include_path                        ""
% 2.10/2.56  % --clausifier                          .//eprover
% 2.10/2.56  % --clausifier_options                  --tstp-format  
% 2.10/2.56  % --stdin                               false
% 2.10/2.56  % --dbg_backtrace                       false
% 2.10/2.56  % --dbg_dump_prop_clauses               false
% 2.10/2.56  % --dbg_dump_prop_clauses_file          -
% 2.10/2.56  % --dbg_out_stat                        false
% 2.10/2.56  
% 2.10/2.56  % ------ General Options
% 2.10/2.56  
% 2.10/2.56  % --fof                                 false
% 2.10/2.56  % --time_out_real                       150.
% 2.10/2.56  % --time_out_prep_mult                  0.2
% 2.10/2.56  % --time_out_virtual                    -1.
% 2.10/2.56  % --schedule                            none
% 2.10/2.56  % --ground_splitting                    input
% 2.10/2.56  % --splitting_nvd                       16
% 2.10/2.56  % --non_eq_to_eq                        false
% 2.10/2.56  % --prep_gs_sim                         true
% 2.10/2.56  % --prep_unflatten                      false
% 2.10/2.56  % --prep_res_sim                        true
% 2.10/2.56  % --prep_upred                          true
% 2.10/2.56  % --res_sim_input                       true
% 2.10/2.56  % --clause_weak_htbl                    true
% 2.10/2.56  % --gc_record_bc_elim                   false
% 2.10/2.56  % --symbol_type_check                   false
% 2.10/2.56  % --clausify_out                        false
% 2.10/2.56  % --large_theory_mode                   false
% 2.10/2.56  % --prep_sem_filter                     none
% 2.10/2.56  % --prep_sem_filter_out                 false
% 2.10/2.56  % --preprocessed_out                    false
% 2.10/2.56  % --sub_typing                          false
% 2.10/2.56  % --brand_transform                     false
% 2.10/2.56  % --pure_diseq_elim                     true
% 2.10/2.56  % --min_unsat_core                      false
% 2.10/2.56  % --pred_elim                           true
% 2.10/2.56  % --add_important_lit                   false
% 2.10/2.56  % --soft_assumptions                    false
% 2.10/2.56  % --reset_solvers                       false
% 2.10/2.56  % --bc_imp_inh                          []
% 2.10/2.56  % --conj_cone_tolerance                 1.5
% 2.10/2.56  % --prolific_symb_bound                 500
% 2.10/2.56  % --lt_threshold                        2000
% 2.10/2.56  
% 2.10/2.56  % ------ SAT Options
% 2.10/2.56  
% 2.10/2.56  % --sat_mode                            false
% 2.10/2.56  % --sat_fm_restart_options              ""
% 2.10/2.56  % --sat_gr_def                          false
% 2.10/2.56  % --sat_epr_types                       true
% 2.10/2.56  % --sat_non_cyclic_types                false
% 2.10/2.56  % --sat_finite_models                   false
% 2.10/2.56  % --sat_fm_lemmas                       false
% 2.10/2.56  % --sat_fm_prep                         false
% 2.10/2.56  % --sat_fm_uc_incr                      true
% 2.10/2.56  % --sat_out_model                       small
% 2.10/2.56  % --sat_out_clauses                     false
% 2.10/2.56  
% 2.10/2.56  % ------ QBF Options
% 2.10/2.56  
% 2.10/2.56  % --qbf_mode                            false
% 2.10/2.56  % --qbf_elim_univ                       true
% 2.10/2.56  % --qbf_sk_in                           true
% 2.10/2.56  % --qbf_pred_elim                       true
% 2.10/2.56  % --qbf_split                           32
% 2.10/2.56  
% 2.10/2.56  % ------ BMC1 Options
% 2.10/2.56  
% 2.10/2.56  % --bmc1_incremental                    false
% 2.10/2.56  % --bmc1_axioms                         reachable_all
% 2.10/2.56  % --bmc1_min_bound                      0
% 2.10/2.56  % --bmc1_max_bound                      -1
% 2.10/2.56  % --bmc1_max_bound_default              -1
% 2.10/2.56  % --bmc1_symbol_reachability            true
% 2.10/2.56  % --bmc1_property_lemmas                false
% 2.10/2.56  % --bmc1_k_induction                    false
% 2.10/2.56  % --bmc1_non_equiv_states               false
% 2.10/2.56  % --bmc1_deadlock                       false
% 2.10/2.56  % --bmc1_ucm                            false
% 2.10/2.56  % --bmc1_add_unsat_core                 none
% 2.10/2.56  % --bmc1_unsat_core_children            false
% 2.10/2.56  % --bmc1_unsat_core_extrapolate_axioms  false
% 2.10/2.56  % --bmc1_out_stat                       full
% 2.10/2.56  % --bmc1_ground_init                    false
% 2.10/2.56  % --bmc1_pre_inst_next_state            false
% 2.10/2.56  % --bmc1_pre_inst_state                 false
% 2.10/2.56  % --bmc1_pre_inst_reach_state           false
% 2.10/2.56  % --bmc1_out_unsat_core                 false
% 2.10/2.56  % --bmc1_aig_witness_out                false
% 2.10/2.56  % --bmc1_verbose                        false
% 2.10/2.56  % --bmc1_dump_clauses_tptp              false
% 2.10/2.56  % --bmc1_dump_unsat_core_tptp           false
% 2.10/2.56  % --bmc1_dump_file                      -
% 2.10/2.56  % --bmc1_ucm_expand_uc_limit            128
% 2.10/2.56  % --bmc1_ucm_n_expand_iterations        6
% 2.10/2.56  % --bmc1_ucm_extend_mode                1
% 2.10/2.56  % --bmc1_ucm_init_mode                  2
% 2.10/2.56  % --bmc1_ucm_cone_mode                  none
% 2.10/2.56  % --bmc1_ucm_reduced_relation_type      0
% 2.10/2.56  % --bmc1_ucm_relax_model                4
% 2.10/2.56  % --bmc1_ucm_full_tr_after_sat          true
% 2.10/2.56  % --bmc1_ucm_expand_neg_assumptions     false
% 2.10/2.56  % --bmc1_ucm_layered_model              none
% 2.10/2.56  % --bmc1_ucm_max_lemma_size             10
% 2.10/2.56  
% 2.10/2.56  % ------ AIG Options
% 2.10/2.56  
% 2.10/2.56  % --aig_mode                            false
% 2.10/2.56  
% 2.10/2.56  % ------ Instantiation Options
% 2.10/2.56  
% 2.10/2.56  % --instantiation_flag                  true
% 2.10/2.56  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 2.10/2.56  % --inst_solver_per_active              750
% 2.10/2.56  % --inst_solver_calls_frac              0.5
% 2.10/2.56  % --inst_passive_queue_type             priority_queues
% 2.10/2.56  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 2.10/2.56  % --inst_passive_queues_freq            [25;2]
% 2.10/2.56  % --inst_dismatching                    true
% 2.10/2.56  % --inst_eager_unprocessed_to_passive   true
% 2.10/2.56  % --inst_prop_sim_given                 true
% 2.10/2.56  % --inst_prop_sim_new                   false
% 2.10/2.56  % --inst_orphan_elimination             true
% 2.10/2.56  % --inst_learning_loop_flag             true
% 2.10/2.56  % --inst_learning_start                 3000
% 2.10/2.56  % --inst_learning_factor                2
% 2.10/2.56  % --inst_start_prop_sim_after_learn     3
% 2.10/2.56  % --inst_sel_renew                      solver
% 2.10/2.56  % --inst_lit_activity_flag              true
% 2.10/2.56  % --inst_out_proof                      true
% 2.10/2.56  
% 2.10/2.56  % ------ Resolution Options
% 2.10/2.56  
% 2.10/2.56  % --resolution_flag                     true
% 2.10/2.56  % --res_lit_sel                         kbo_max
% 2.10/2.56  % --res_to_prop_solver                  none
% 2.10/2.56  % --res_prop_simpl_new                  false
% 2.10/2.56  % --res_prop_simpl_given                false
% 2.10/2.56  % --res_passive_queue_type              priority_queues
% 2.10/2.56  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 2.10/2.56  % --res_passive_queues_freq             [15;5]
% 2.10/2.56  % --res_forward_subs                    full
% 2.10/2.56  % --res_backward_subs                   full
% 2.10/2.56  % --res_forward_subs_resolution         true
% 2.10/2.56  % --res_backward_subs_resolution        true
% 2.10/2.56  % --res_orphan_elimination              false
% 2.10/2.56  % --res_time_limit                      1000.
% 2.10/2.56  % --res_out_proof                       true
% 2.10/2.56  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_7c97f1.s
% 2.10/2.56  % --modulo                              true
% 2.10/2.56  
% 2.10/2.56  % ------ Combination Options
% 2.10/2.56  
% 2.10/2.56  % --comb_res_mult                       1000
% 2.10/2.56  % --comb_inst_mult                      300
% 2.10/2.56  % ------ 
% 2.10/2.56  
% 2.10/2.56  
% 2.10/2.56  
% 2.10/2.56  % ------ Proving...
% 2.10/2.56  % 
% 2.10/2.56  
% 2.10/2.56  
% 2.10/2.56  %  Resolution empty clause
% 2.10/2.56  
% 2.10/2.56  % ------                             Statistics
% 2.10/2.56  
% 2.10/2.56  % ------ General
% 2.10/2.56  
% 2.10/2.56  % num_of_input_clauses:                 724
% 2.10/2.56  % num_of_input_neg_conjectures:         1
% 2.10/2.56  % num_of_splits:                        0
% 2.10/2.56  % num_of_split_atoms:                   0
% 2.10/2.56  % num_of_sem_filtered_clauses:          0
% 2.10/2.56  % num_of_subtypes:                      0
% 2.10/2.56  % monotx_restored_types:                0
% 2.10/2.56  % sat_num_of_epr_types:                 0
% 2.10/2.56  % sat_num_of_non_cyclic_types:          0
% 2.10/2.56  % sat_guarded_non_collapsed_types:      0
% 2.10/2.56  % is_epr:                               0
% 2.10/2.56  % is_horn:                              0
% 2.10/2.56  % has_eq:                               1
% 2.10/2.56  % num_pure_diseq_elim:                  0
% 2.10/2.56  % simp_replaced_by:                     0
% 2.10/2.56  % res_preprocessed:                     2
% 2.10/2.56  % prep_upred:                           0
% 2.10/2.56  % prep_unflattend:                      0
% 2.10/2.56  % pred_elim_cands:                      0
% 2.10/2.56  % pred_elim:                            0
% 2.10/2.56  % pred_elim_cl:                         0
% 2.10/2.56  % pred_elim_cycles:                     0
% 2.10/2.56  % forced_gc_time:                       0
% 2.10/2.56  % gc_basic_clause_elim:                 0
% 2.10/2.56  % parsing_time:                         0.041
% 2.10/2.56  % sem_filter_time:                      0.
% 2.10/2.56  % pred_elim_time:                       0.
% 2.10/2.56  % out_proof_time:                       0.001
% 2.10/2.56  % monotx_time:                          0.
% 2.10/2.56  % subtype_inf_time:                     0.
% 2.10/2.56  % unif_index_cands_time:                0.
% 2.10/2.56  % unif_index_add_time:                  0.
% 2.10/2.56  % total_time:                           2.1
% 2.10/2.56  % num_of_symbols:                       119
% 2.10/2.56  % num_of_terms:                         3418
% 2.10/2.56  
% 2.10/2.56  % ------ Propositional Solver
% 2.10/2.56  
% 2.10/2.56  % prop_solver_calls:                    1
% 2.10/2.56  % prop_fast_solver_calls:               3
% 2.10/2.56  % prop_num_of_clauses:                  778
% 2.10/2.56  % prop_preprocess_simplified:           2064
% 2.10/2.56  % prop_fo_subsumed:                     0
% 2.10/2.56  % prop_solver_time:                     0.
% 2.10/2.56  % prop_fast_solver_time:                0.
% 2.10/2.56  % prop_unsat_core_time:                 0.
% 2.10/2.56  
% 2.10/2.56  % ------ QBF 
% 2.10/2.56  
% 2.10/2.56  % qbf_q_res:                            0
% 2.10/2.56  % qbf_num_tautologies:                  0
% 2.10/2.56  % qbf_prep_cycles:                      0
% 2.10/2.56  
% 2.10/2.56  % ------ BMC1
% 2.10/2.56  
% 2.10/2.56  % bmc1_current_bound:                   -1
% 2.10/2.56  % bmc1_last_solved_bound:               -1
% 2.10/2.56  % bmc1_unsat_core_size:                 -1
% 2.10/2.56  % bmc1_unsat_core_parents_size:         -1
% 2.10/2.56  % bmc1_merge_next_fun:                  0
% 2.10/2.56  % bmc1_unsat_core_clauses_time:         0.
% 2.10/2.56  
% 2.10/2.56  % ------ Instantiation
% 2.10/2.56  
% 2.10/2.56  % inst_num_of_clauses:                  657
% 2.10/2.56  % inst_num_in_passive:                  0
% 2.10/2.56  % inst_num_in_active:                   0
% 2.10/2.56  % inst_num_in_unprocessed:              724
% 2.10/2.56  % inst_num_of_loops:                    0
% 2.10/2.56  % inst_num_of_learning_restarts:        0
% 2.10/2.56  % inst_num_moves_active_passive:        0
% 2.10/2.56  % inst_lit_activity:                    0
% 2.10/2.56  % inst_lit_activity_moves:              0
% 2.10/2.56  % inst_num_tautologies:                 0
% 2.10/2.56  % inst_num_prop_implied:                0
% 2.10/2.56  % inst_num_existing_simplified:         0
% 2.10/2.56  % inst_num_eq_res_simplified:           0
% 2.10/2.56  % inst_num_child_elim:                  0
% 2.10/2.56  % inst_num_of_dismatching_blockings:    0
% 2.10/2.56  % inst_num_of_non_proper_insts:         0
% 2.10/2.56  % inst_num_of_duplicates:               0
% 2.10/2.56  % inst_inst_num_from_inst_to_res:       0
% 2.10/2.57  % inst_dismatching_checking_time:       0.
% 2.10/2.57  
% 2.10/2.57  % ------ Resolution
% 2.10/2.57  
% 2.10/2.57  % res_num_of_clauses:                   732
% 2.10/2.57  % res_num_in_passive:                   16
% 2.10/2.57  % res_num_in_active:                    301
% 2.10/2.57  % res_num_of_loops:                     6
% 2.10/2.57  % res_forward_subset_subsumed:          347
% 2.10/2.57  % res_backward_subset_subsumed:         0
% 2.10/2.57  % res_forward_subsumed:                 0
% 2.10/2.57  % res_backward_subsumed:                0
% 2.10/2.57  % res_forward_subsumption_resolution:   1
% 2.10/2.57  % res_backward_subsumption_resolution:  1
% 2.10/2.57  % res_clause_to_clause_subsumption:     14
% 2.10/2.57  % res_orphan_elimination:               0
% 2.10/2.57  % res_tautology_del:                    0
% 2.10/2.57  % res_num_eq_res_simplified:            0
% 2.10/2.57  % res_num_sel_changes:                  0
% 2.10/2.57  % res_moves_from_active_to_pass:        0
% 2.10/2.57  
% 2.10/2.57  % Status Unsatisfiable
% 2.10/2.57  % SZS status Unsatisfiable
% 2.10/2.57  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------