TSTP Solution File: SWV954-1 by iProverMo---2.5-0.1

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : SWV954-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Wed Jul 20 19:23:34 EDT 2022

% Result   : Unsatisfiable 1.22s 1.39s
% Output   : CNFRefutation 1.22s
% 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,
    c_fequal(V_x,V_x,T_a),
    input ).

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

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

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

cnf(clsarity_bool__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__HOL_Oord,axiom,
    class_HOL_Oord(tc_nat),
    input ).

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

cnf(clsarity_nat__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(cls_CHAINED_0,axiom,
    c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OFAss(v_ea____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_T____),
    input ).

fof(cls_CHAINED_0_0,plain,
    ( c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OFAss(v_ea____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_T____)
    | $false ),
    inference(orientation,[status(thm)],[cls_CHAINED_0]) ).

cnf(cls_COMBI__def__raw_0,axiom,
    c_COMBI(v_P,t_a) = v_P,
    input ).

fof(cls_COMBI__def__raw_0_0,plain,
    ( c_COMBI(v_P,t_a) = v_P
    | $false ),
    inference(orientation,[status(thm)],[cls_COMBI__def__raw_0]) ).

cnf(cls_wt_0,axiom,
    c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OFAss(v_ea____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_T____),
    input ).

fof(cls_wt_0_0,plain,
    ( c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OFAss(v_ea____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_T____)
    | $false ),
    inference(orientation,[status(thm)],[cls_wt_0]) ).

cnf(cls_conf_0,axiom,
    c_TypeSafe__Mirabelle_Osconf(v_P,v_E____,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),
    input ).

fof(cls_conf_0_0,plain,
    ( c_TypeSafe__Mirabelle_Osconf(v_P,v_E____,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
    | $false ),
    inference(orientation,[status(thm)],[cls_conf_0]) ).

cnf(cls_calculation_0,axiom,
    c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_ONT),
    input ).

fof(cls_calculation_0_0,plain,
    ( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_ONT)
    | $false ),
    inference(orientation,[status(thm)],[cls_calculation_0]) ).

cnf(cls_exp_Osimps_I174_J_0,axiom,
    c_Expr_Oexp_OFAss(V_exp1,V_list1,V_list2,V_exp2,T_a) != c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a),
    input ).

fof(cls_exp_Osimps_I174_J_0_0,plain,
    ! [T_a,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_list1,V_list2] :
      ( c_Expr_Oexp_OFAss(V_exp1,V_list1,V_list2,V_exp2,T_a) != c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I174_J_0]) ).

cnf(cls_void_0,axiom,
    v_T____ = c_Type_Oty_OVoid,
    input ).

fof(cls_void_0_0,plain,
    ( v_T____ = c_Type_Oty_OVoid
    | $false ),
    inference(orientation,[status(thm)],[cls_void_0]) ).

cnf(cls_map__le__refl_0,axiom,
    c_Map_Omap__le(V_f,V_f,T_a,T_b),
    input ).

fof(cls_map__le__refl_0_0,plain,
    ! [T_a,T_b,V_f] :
      ( c_Map_Omap__le(V_f,V_f,T_a,T_b)
      | $false ),
    inference(orientation,[status(thm)],[cls_map__le__refl_0]) ).

cnf(cls_COMBI__def_0,axiom,
    c_COMBI(V_P,T_a) = V_P,
    input ).

fof(cls_COMBI__def_0_0,plain,
    ! [T_a,V_P] :
      ( c_COMBI(V_P,T_a) = V_P
      | $false ),
    inference(orientation,[status(thm)],[cls_COMBI__def_0]) ).

cnf(cls_red_0,axiom,
    c_in(c_Pair(c_Pair(v_ea____,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(v_e_Ha____,c_Pair(v_h_Ha____,v_l_Ha____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(v_P),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    input ).

fof(cls_red_0_0,plain,
    ( c_in(c_Pair(c_Pair(v_ea____,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(v_e_Ha____,c_Pair(v_h_Ha____,v_l_Ha____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(v_P),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | $false ),
    inference(orientation,[status(thm)],[cls_red_0]) ).

cnf(cls_hext__refl_0,axiom,
    c_Objects_Ohext(V_h,V_h),
    input ).

fof(cls_hext__refl_0_0,plain,
    ! [V_h] :
      ( c_Objects_Ohext(V_h,V_h)
      | $false ),
    inference(orientation,[status(thm)],[cls_hext__refl_0]) ).

cnf(cls_exp_Osimps_I175_J_0,axiom,
    c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a) != c_Expr_Oexp_OFAss(V_exp1,V_list1,V_list2,V_exp2,T_a),
    input ).

fof(cls_exp_Osimps_I175_J_0_0,plain,
    ! [T_a,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_list1,V_list2] :
      ( c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a) != c_Expr_Oexp_OFAss(V_exp1,V_list1,V_list2,V_exp2,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I175_J_0]) ).

cnf(cls_ty_Osimps_I6_J_0,axiom,
    c_Type_Oty_OVoid != c_Type_Oty_ONT,
    input ).

fof(cls_ty_Osimps_I6_J_0_0,plain,
    ( c_Type_Oty_OVoid != c_Type_Oty_ONT
    | $false ),
    inference(orientation,[status(thm)],[cls_ty_Osimps_I6_J_0]) ).

cnf(cls_widen__Class_2,axiom,
    c_TypeRel_Owiden(V_P,c_Type_Oty_ONT,c_Type_Oty_OClass(V_C),T_a),
    input ).

fof(cls_widen__Class_2_0,plain,
    ! [T_a,V_C,V_P] :
      ( c_TypeRel_Owiden(V_P,c_Type_Oty_ONT,c_Type_Oty_OClass(V_C),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_widen__Class_2]) ).

cnf(cls_ty_Osimps_I21_J_0,axiom,
    c_Type_Oty_OClass(V_list_H) != c_Type_Oty_ONT,
    input ).

fof(cls_ty_Osimps_I21_J_0_0,plain,
    ! [V_list_H] :
      ( c_Type_Oty_OClass(V_list_H) != c_Type_Oty_ONT
      | $false ),
    inference(orientation,[status(thm)],[cls_ty_Osimps_I21_J_0]) ).

cnf(cls_widen__refl_0,axiom,
    c_TypeRel_Owiden(V_P,V_T,V_T,T_a),
    input ).

fof(cls_widen__refl_0_0,plain,
    ! [T_a,V_P,V_T] :
      ( c_TypeRel_Owiden(V_P,V_T,V_T,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_widen__refl_0]) ).

cnf(cls_red__reds_ORedSeq_0,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(c_Expr_Oexp_OVal(V_v,tc_List_Olist(tc_String_Ochar)),V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(V_e_092_060_094isub_0622,V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(V_P),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    input ).

fof(cls_red__reds_ORedSeq_0_0,plain,
    ! [V_P,V_e_092_060_094isub_0622,V_s,V_v] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(c_Expr_Oexp_OVal(V_v,tc_List_Olist(tc_String_Ochar)),V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(V_e_092_060_094isub_0622,V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(V_P),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | $false ),
    inference(orientation,[status(thm)],[cls_red__reds_ORedSeq_0]) ).

cnf(cls_red__reds_OSeqThrow_0,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(V_P),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    input ).

fof(cls_red__reds_OSeqThrow_0_0,plain,
    ! [V_P,V_e,V_e_092_060_094isub_0622,V_s] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(V_P),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | $false ),
    inference(orientation,[status(thm)],[cls_red__reds_OSeqThrow_0]) ).

cnf(cls_red__reds_OFAssThrow2_0,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(V_v,tc_List_Olist(tc_String_Ochar)),V_F,V_D,c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(V_P),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    input ).

fof(cls_red__reds_OFAssThrow2_0_0,plain,
    ! [V_D,V_F,V_P,V_e,V_s,V_v] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(V_v,tc_List_Olist(tc_String_Ochar)),V_F,V_D,c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(V_P),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | $false ),
    inference(orientation,[status(thm)],[cls_red__reds_OFAssThrow2_0]) ).

cnf(cls_red__reds_OFAccThrow_0,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAcc(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_F,V_D,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(V_P),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    input ).

fof(cls_red__reds_OFAccThrow_0_0,plain,
    ! [V_D,V_F,V_P,V_e,V_s] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAcc(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_F,V_D,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(V_P),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | $false ),
    inference(orientation,[status(thm)],[cls_red__reds_OFAccThrow_0]) ).

cnf(cls_ty_Osimps_I9_J_0,axiom,
    c_Type_Oty_OClass(V_list_H) != c_Type_Oty_OVoid,
    input ).

fof(cls_ty_Osimps_I9_J_0_0,plain,
    ! [V_list_H] :
      ( c_Type_Oty_OClass(V_list_H) != c_Type_Oty_OVoid
      | $false ),
    inference(orientation,[status(thm)],[cls_ty_Osimps_I9_J_0]) ).

cnf(cls_red__reds_OFAssThrow1_0,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_F,V_D,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(V_P),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    input ).

fof(cls_red__reds_OFAssThrow1_0_0,plain,
    ! [V_D,V_F,V_P,V_e,V_e_092_060_094isub_0622,V_s] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_F,V_D,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(V_P),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | $false ),
    inference(orientation,[status(thm)],[cls_red__reds_OFAssThrow1_0]) ).

cnf(cls_exp_Osimps_I160_J_0,axiom,
    c_Expr_Oexp_OFAcc(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a),
    input ).

fof(cls_exp_Osimps_I160_J_0_0,plain,
    ! [T_a,V_exp,V_exp1_H,V_exp2_H,V_list1,V_list2] :
      ( c_Expr_Oexp_OFAcc(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I160_J_0]) ).

cnf(cls_red__reds_OThrowThrow_0,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_Othrow(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(V_P),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    input ).

fof(cls_red__reds_OThrowThrow_0_0,plain,
    ! [V_P,V_e,V_s] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_Othrow(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(V_P),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | $false ),
    inference(orientation,[status(thm)],[cls_red__reds_OThrowThrow_0]) ).

cnf(cls_ty_Osimps_I7_J_0,axiom,
    c_Type_Oty_ONT != c_Type_Oty_OVoid,
    input ).

fof(cls_ty_Osimps_I7_J_0_0,plain,
    ( c_Type_Oty_ONT != c_Type_Oty_OVoid
    | $false ),
    inference(orientation,[status(thm)],[cls_ty_Osimps_I7_J_0]) ).

cnf(cls_exp_Osimps_I155_J_0,axiom,
    c_Expr_Oexp_OFAss(V_exp1_H,V_list1_H,V_list2_H,V_exp2_H,T_a) != c_Expr_Oexp_OFAcc(V_exp,V_list1,V_list2,T_a),
    input ).

fof(cls_exp_Osimps_I155_J_0_0,plain,
    ! [T_a,V_exp,V_exp1_H,V_exp2_H,V_list1,V_list1_H,V_list2,V_list2_H] :
      ( c_Expr_Oexp_OFAss(V_exp1_H,V_list1_H,V_list2_H,V_exp2_H,T_a) != c_Expr_Oexp_OFAcc(V_exp,V_list1,V_list2,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I155_J_0]) ).

cnf(cls_exp_Osimps_I154_J_0,axiom,
    c_Expr_Oexp_OFAcc(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_OFAss(V_exp1_H,V_list1_H,V_list2_H,V_exp2_H,T_a),
    input ).

fof(cls_exp_Osimps_I154_J_0_0,plain,
    ! [T_a,V_exp,V_exp1_H,V_exp2_H,V_list1,V_list1_H,V_list2,V_list2_H] :
      ( c_Expr_Oexp_OFAcc(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_OFAss(V_exp1_H,V_list1_H,V_list2_H,V_exp2_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I154_J_0]) ).

cnf(cls_ty_Osimps_I20_J_0,axiom,
    c_Type_Oty_ONT != c_Type_Oty_OClass(V_list_H),
    input ).

fof(cls_ty_Osimps_I20_J_0_0,plain,
    ! [V_list_H] :
      ( c_Type_Oty_ONT != c_Type_Oty_OClass(V_list_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_ty_Osimps_I20_J_0]) ).

cnf(cls_ty_Osimps_I8_J_0,axiom,
    c_Type_Oty_OVoid != c_Type_Oty_OClass(V_list_H),
    input ).

fof(cls_ty_Osimps_I8_J_0_0,plain,
    ! [V_list_H] :
      ( c_Type_Oty_OVoid != c_Type_Oty_OClass(V_list_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_ty_Osimps_I8_J_0]) ).

cnf(cls_exp_Osimps_I161_J_0,axiom,
    c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a) != c_Expr_Oexp_OFAcc(V_exp,V_list1,V_list2,T_a),
    input ).

fof(cls_exp_Osimps_I161_J_0_0,plain,
    ! [T_a,V_exp,V_exp1_H,V_exp2_H,V_list1,V_list2] :
      ( c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a) != c_Expr_Oexp_OFAcc(V_exp,V_list1,V_list2,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I161_J_0]) ).

cnf(cls_rtrancl__idemp_0,axiom,
    c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a) = c_Transitive__Closure_Ortrancl(V_r,T_a),
    input ).

fof(cls_rtrancl__idemp_0_0,plain,
    ! [T_a,V_r] :
      ( c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a) = c_Transitive__Closure_Ortrancl(V_r,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_rtrancl__idemp_0]) ).

cnf(cls_exp_Osimps_I187_J_0,axiom,
    c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a) != c_Expr_Oexp_OCall(V_exp,V_list1,V_list2,T_a),
    input ).

fof(cls_exp_Osimps_I187_J_0_0,plain,
    ! [T_a,V_exp,V_exp1_H,V_exp2_H,V_list1,V_list2] :
      ( c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a) != c_Expr_Oexp_OCall(V_exp,V_list1,V_list2,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I187_J_0]) ).

cnf(cls_exp_Osimps_I212_J_0,axiom,
    c_Expr_Oexp_OSeq(V_exp1,V_exp2,T_a) != c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a),
    input ).

fof(cls_exp_Osimps_I212_J_0_0,plain,
    ! [T_a,V_a_H,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_list_H] :
      ( c_Expr_Oexp_OSeq(V_exp1,V_exp2,T_a) != c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I212_J_0]) ).

cnf(cls_exp_Osimps_I213_J_0,axiom,
    c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a) != c_Expr_Oexp_OSeq(V_exp1,V_exp2,T_a),
    input ).

fof(cls_exp_Osimps_I213_J_0_0,plain,
    ! [T_a,V_a_H,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_list_H] :
      ( c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a) != c_Expr_Oexp_OSeq(V_exp1,V_exp2,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I213_J_0]) ).

cnf(cls_exp_Osimps_I84_J_0,axiom,
    c_Expr_Oexp_OVal(V_val,T_a) != c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a),
    input ).

fof(cls_exp_Osimps_I84_J_0_0,plain,
    ! [T_a,V_exp1_H,V_exp2_H,V_val] :
      ( c_Expr_Oexp_OVal(V_val,T_a) != c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I84_J_0]) ).

cnf(cls_exp_Osimps_I99_J_0,axiom,
    c_Expr_Oexp_OFAcc(V_exp_H,V_list1_H,V_list2_H,T_a) != c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a),
    input ).

fof(cls_exp_Osimps_I99_J_0_0,plain,
    ! [T_a,V_bop,V_exp1,V_exp2,V_exp_H,V_list1_H,V_list2_H] :
      ( c_Expr_Oexp_OFAcc(V_exp_H,V_list1_H,V_list2_H,T_a) != c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I99_J_0]) ).

cnf(cls_exp_Osimps_I153_J_0,axiom,
    c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a) != c_Expr_Oexp_OLAss(V_a,V_exp,T_a),
    input ).

fof(cls_exp_Osimps_I153_J_0_0,plain,
    ! [T_a,V_a,V_a_H,V_exp,V_exp1_H,V_exp2_H,V_list_H] :
      ( c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a) != c_Expr_Oexp_OLAss(V_a,V_exp,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I153_J_0]) ).

cnf(cls_exp_Osimps_I147_J_0,axiom,
    c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a) != c_Expr_Oexp_OLAss(V_a,V_exp,T_a),
    input ).

fof(cls_exp_Osimps_I147_J_0_0,plain,
    ! [T_a,V_a,V_exp,V_exp1_H,V_exp2_H,V_exp3_H] :
      ( c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a) != c_Expr_Oexp_OLAss(V_a,V_exp,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I147_J_0]) ).

cnf(cls_exp_Osimps_I78_J_0,axiom,
    c_Expr_Oexp_OVal(V_val,T_a) != c_Expr_Oexp_OFAss(V_exp1_H,V_list1_H,V_list2_H,V_exp2_H,T_a),
    input ).

fof(cls_exp_Osimps_I78_J_0_0,plain,
    ! [T_a,V_exp1_H,V_exp2_H,V_list1_H,V_list2_H,V_val] :
      ( c_Expr_Oexp_OVal(V_val,T_a) != c_Expr_Oexp_OFAss(V_exp1_H,V_list1_H,V_list2_H,V_exp2_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I78_J_0]) ).

cnf(cls_exp_Osimps_I50_J_0,axiom,
    c_Expr_Oexp_OCast(V_list,V_exp,T_a) != c_Expr_Oexp_OLAss(V_a_H,V_exp_H,T_a),
    input ).

fof(cls_exp_Osimps_I50_J_0_0,plain,
    ! [T_a,V_a_H,V_exp,V_exp_H,V_list] :
      ( c_Expr_Oexp_OCast(V_list,V_exp,T_a) != c_Expr_Oexp_OLAss(V_a_H,V_exp_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I50_J_0]) ).

cnf(cls_exp_Osimps_I92_J_0,axiom,
    c_Expr_Oexp_OVal(V_val,T_a) != c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a),
    input ).

fof(cls_exp_Osimps_I92_J_0_0,plain,
    ! [T_a,V_a_H,V_exp1_H,V_exp2_H,V_list_H,V_val] :
      ( c_Expr_Oexp_OVal(V_val,T_a) != c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I92_J_0]) ).

cnf(cls_exp_Osimps_I45_J_0,axiom,
    c_Expr_Oexp_OVal(V_val_H,T_a) != c_Expr_Oexp_OCast(V_list,V_exp,T_a),
    input ).

fof(cls_exp_Osimps_I45_J_0_0,plain,
    ! [T_a,V_exp,V_list,V_val_H] :
      ( c_Expr_Oexp_OVal(V_val_H,T_a) != c_Expr_Oexp_OCast(V_list,V_exp,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I45_J_0]) ).

cnf(cls_exp_Osimps_I60_J_0,axiom,
    c_Expr_Oexp_OCast(V_list,V_exp,T_a) != c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a),
    input ).

fof(cls_exp_Osimps_I60_J_0_0,plain,
    ! [T_a,V_exp,V_exp1_H,V_exp2_H,V_list] :
      ( c_Expr_Oexp_OCast(V_list,V_exp,T_a) != c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I60_J_0]) ).

cnf(cls_exp_Osimps_I194_J_0,axiom,
    c_Expr_Oexp_OCall(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a),
    input ).

fof(cls_exp_Osimps_I194_J_0_0,plain,
    ! [T_a,V_a_H,V_exp,V_exp1_H,V_exp2_H,V_list1,V_list2,V_list_H] :
      ( c_Expr_Oexp_OCall(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I194_J_0]) ).

cnf(cls_exp_Osimps_I80_J_0,axiom,
    c_Expr_Oexp_OVal(V_val,T_a) != c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a),
    input ).

fof(cls_exp_Osimps_I80_J_0_0,plain,
    ! [T_a,V_exp_H,V_list1_H,V_list2_H,V_val] :
      ( c_Expr_Oexp_OVal(V_val,T_a) != c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I80_J_0]) ).

cnf(cls_exp_Osimps_I76_J_0,axiom,
    c_Expr_Oexp_OVal(V_val,T_a) != c_Expr_Oexp_OFAcc(V_exp_H,V_list1_H,V_list2_H,T_a),
    input ).

fof(cls_exp_Osimps_I76_J_0_0,plain,
    ! [T_a,V_exp_H,V_list1_H,V_list2_H,V_val] :
      ( c_Expr_Oexp_OVal(V_val,T_a) != c_Expr_Oexp_OFAcc(V_exp_H,V_list1_H,V_list2_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I76_J_0]) ).

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

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

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

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

cnf(cls_red__reds_OBinOpThrow2_0,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(V_v_092_060_094isub_0621,tc_List_Olist(tc_String_Ochar)),V_bop,c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(V_P),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    input ).

fof(cls_red__reds_OBinOpThrow2_0_0,plain,
    ! [V_P,V_bop,V_e,V_s,V_v_092_060_094isub_0621] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(V_v_092_060_094isub_0621,tc_List_Olist(tc_String_Ochar)),V_bop,c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(V_P),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | $false ),
    inference(orientation,[status(thm)],[cls_red__reds_OBinOpThrow2_0]) ).

cnf(cls_exp_Osimps_I90_J_0,axiom,
    c_Expr_Oexp_OVal(V_val,T_a) != c_Expr_Oexp_Othrow(V_exp_H,T_a),
    input ).

fof(cls_exp_Osimps_I90_J_0_0,plain,
    ! [T_a,V_exp_H,V_val] :
      ( c_Expr_Oexp_OVal(V_val,T_a) != c_Expr_Oexp_Othrow(V_exp_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I90_J_0]) ).

cnf(cls_exp_Osimps_I108_J_0,axiom,
    c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a) != c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a),
    input ).

fof(cls_exp_Osimps_I108_J_0_0,plain,
    ! [T_a,V_bop,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_exp3_H] :
      ( c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a) != c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I108_J_0]) ).

cnf(cls_red__reds_OCallThrowObj_0,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_OCall(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_M,V_es,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(V_P),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    input ).

fof(cls_red__reds_OCallThrowObj_0_0,plain,
    ! [V_M,V_P,V_e,V_es,V_s] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCall(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_M,V_es,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(V_P),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | $false ),
    inference(orientation,[status(thm)],[cls_red__reds_OCallThrowObj_0]) ).

cnf(cls_exp_Osimps_I151_J_0,axiom,
    c_Expr_Oexp_Othrow(V_exp_H,T_a) != c_Expr_Oexp_OLAss(V_a,V_exp,T_a),
    input ).

fof(cls_exp_Osimps_I151_J_0_0,plain,
    ! [T_a,V_a,V_exp,V_exp_H] :
      ( c_Expr_Oexp_Othrow(V_exp_H,T_a) != c_Expr_Oexp_OLAss(V_a,V_exp,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I151_J_0]) ).

cnf(cls_exp_Osimps_I70_J_0,axiom,
    c_Expr_Oexp_OVal(V_val,T_a) != c_Expr_Oexp_OBinOp(V_exp1_H,V_bop_H,V_exp2_H,T_a),
    input ).

fof(cls_exp_Osimps_I70_J_0_0,plain,
    ! [T_a,V_bop_H,V_exp1_H,V_exp2_H,V_val] :
      ( c_Expr_Oexp_OVal(V_val,T_a) != c_Expr_Oexp_OBinOp(V_exp1_H,V_bop_H,V_exp2_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I70_J_0]) ).

cnf(cls_exp_Osimps_I53_J_0,axiom,
    c_Expr_Oexp_OFAcc(V_exp_H,V_list1_H,V_list2_H,T_a) != c_Expr_Oexp_OCast(V_list,V_exp,T_a),
    input ).

fof(cls_exp_Osimps_I53_J_0_0,plain,
    ! [T_a,V_exp,V_exp_H,V_list,V_list1_H,V_list2_H] :
      ( c_Expr_Oexp_OFAcc(V_exp_H,V_list1_H,V_list2_H,T_a) != c_Expr_Oexp_OCast(V_list,V_exp,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I53_J_0]) ).

cnf(cls_exp_Osimps_I156_J_0,axiom,
    c_Expr_Oexp_OFAcc(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a),
    input ).

fof(cls_exp_Osimps_I156_J_0_0,plain,
    ! [T_a,V_exp,V_exp_H,V_list1,V_list1_H,V_list2,V_list2_H] :
      ( c_Expr_Oexp_OFAcc(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I156_J_0]) ).

cnf(cls_rtrancl_Ortrancl__refl_0,axiom,
    c_in(c_Pair(V_a,V_a,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)),
    input ).

fof(cls_rtrancl_Ortrancl__refl_0_0,plain,
    ! [T_a,V_a,V_r] :
      ( c_in(c_Pair(V_a,V_a,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
      | $false ),
    inference(orientation,[status(thm)],[cls_rtrancl_Ortrancl__refl_0]) ).

cnf(cls_rtrancl__eq__or__trancl_1,axiom,
    c_in(c_Pair(V_x,V_x,T_a,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),tc_prod(T_a,T_a)),
    input ).

fof(cls_rtrancl__eq__or__trancl_1_0,plain,
    ! [T_a,V_R,V_x] :
      ( c_in(c_Pair(V_x,V_x,T_a,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),tc_prod(T_a,T_a))
      | $false ),
    inference(orientation,[status(thm)],[cls_rtrancl__eq__or__trancl_1]) ).

cnf(cls_exp_Osimps_I112_J_0,axiom,
    c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a) != c_Expr_Oexp_Othrow(V_exp_H,T_a),
    input ).

fof(cls_exp_Osimps_I112_J_0_0,plain,
    ! [T_a,V_bop,V_exp1,V_exp2,V_exp_H] :
      ( c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a) != c_Expr_Oexp_Othrow(V_exp_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I112_J_0]) ).

cnf(cls_exp_Osimps_I210_J_0,axiom,
    c_Expr_Oexp_OSeq(V_exp1,V_exp2,T_a) != c_Expr_Oexp_Othrow(V_exp_H,T_a),
    input ).

fof(cls_exp_Osimps_I210_J_0_0,plain,
    ! [T_a,V_exp1,V_exp2,V_exp_H] :
      ( c_Expr_Oexp_OSeq(V_exp1,V_exp2,T_a) != c_Expr_Oexp_Othrow(V_exp_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I210_J_0]) ).

cnf(cls_exp_Osimps_I219_J_0,axiom,
    c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a) != c_Expr_Oexp_OCond(V_exp1,V_exp2,V_exp3,T_a),
    input ).

fof(cls_exp_Osimps_I219_J_0_0,plain,
    ! [T_a,V_a_H,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_exp3,V_list_H] :
      ( c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a) != c_Expr_Oexp_OCond(V_exp1,V_exp2,V_exp3,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I219_J_0]) ).

cnf(cls_exp_Osimps_I55_J_0,axiom,
    c_Expr_Oexp_OFAss(V_exp1_H,V_list1_H,V_list2_H,V_exp2_H,T_a) != c_Expr_Oexp_OCast(V_list,V_exp,T_a),
    input ).

fof(cls_exp_Osimps_I55_J_0_0,plain,
    ! [T_a,V_exp,V_exp1_H,V_exp2_H,V_list,V_list1_H,V_list2_H] :
      ( c_Expr_Oexp_OFAss(V_exp1_H,V_list1_H,V_list2_H,V_exp2_H,T_a) != c_Expr_Oexp_OCast(V_list,V_exp,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I55_J_0]) ).

cnf(cls_exp_Osimps_I146_J_0,axiom,
    c_Expr_Oexp_OLAss(V_a,V_exp,T_a) != c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a),
    input ).

fof(cls_exp_Osimps_I146_J_0_0,plain,
    ! [T_a,V_a,V_exp,V_exp1_H,V_exp2_H,V_exp3_H] :
      ( c_Expr_Oexp_OLAss(V_a,V_exp,T_a) != c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I146_J_0]) ).

cnf(cls_exp_Osimps_I62_J_0,axiom,
    c_Expr_Oexp_OCast(V_list,V_exp,T_a) != c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a),
    input ).

fof(cls_exp_Osimps_I62_J_0_0,plain,
    ! [T_a,V_exp,V_exp1_H,V_exp2_H,V_exp3_H,V_list] :
      ( c_Expr_Oexp_OCast(V_list,V_exp,T_a) != c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I62_J_0]) ).

cnf(cls_exp_Osimps_I93_J_0,axiom,
    c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a) != c_Expr_Oexp_OVal(V_val,T_a),
    input ).

fof(cls_exp_Osimps_I93_J_0_0,plain,
    ! [T_a,V_a_H,V_exp1_H,V_exp2_H,V_list_H,V_val] :
      ( c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a) != c_Expr_Oexp_OVal(V_val,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I93_J_0]) ).

cnf(cls_exp_Osimps_I107_J_0,axiom,
    c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a) != c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a),
    input ).

fof(cls_exp_Osimps_I107_J_0_0,plain,
    ! [T_a,V_bop,V_exp1,V_exp1_H,V_exp2,V_exp2_H] :
      ( c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a) != c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I107_J_0]) ).

cnf(cls_exp_Osimps_I170_J_0,axiom,
    c_Expr_Oexp_OFAss(V_exp1,V_list1,V_list2,V_exp2,T_a) != c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a),
    input ).

fof(cls_exp_Osimps_I170_J_0_0,plain,
    ! [T_a,V_exp1,V_exp2,V_exp_H,V_list1,V_list1_H,V_list2,V_list2_H] :
      ( c_Expr_Oexp_OFAss(V_exp1,V_list1,V_list2,V_exp2,T_a) != c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I170_J_0]) ).

cnf(cls_exp_Osimps_I106_J_0,axiom,
    c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a) != c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a),
    input ).

fof(cls_exp_Osimps_I106_J_0_0,plain,
    ! [T_a,V_bop,V_exp1,V_exp1_H,V_exp2,V_exp2_H] :
      ( c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a) != c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I106_J_0]) ).

cnf(cls_exp_Osimps_I68_J_0,axiom,
    c_Expr_Oexp_OCast(V_list,V_exp,T_a) != c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a),
    input ).

fof(cls_exp_Osimps_I68_J_0_0,plain,
    ! [T_a,V_a_H,V_exp,V_exp1_H,V_exp2_H,V_list,V_list_H] :
      ( c_Expr_Oexp_OCast(V_list,V_exp,T_a) != c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I68_J_0]) ).

cnf(cls_Val_0,axiom,
    c_BigStep_Oeval(V_P,c_Expr_Oexp_OVal(V_v,tc_List_Olist(tc_String_Ochar)),V_s,c_Expr_Oexp_OVal(V_v,tc_List_Olist(tc_String_Ochar)),V_s),
    input ).

fof(cls_Val_0_0,plain,
    ! [V_P,V_s,V_v] :
      ( c_BigStep_Oeval(V_P,c_Expr_Oexp_OVal(V_v,tc_List_Olist(tc_String_Ochar)),V_s,c_Expr_Oexp_OVal(V_v,tc_List_Olist(tc_String_Ochar)),V_s)
      | $false ),
    inference(orientation,[status(thm)],[cls_Val_0]) ).

cnf(cls_exp_Osimps_I225_J_0,axiom,
    c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a) != c_Expr_Oexp_Othrow(V_exp,T_a),
    input ).

fof(cls_exp_Osimps_I225_J_0_0,plain,
    ! [T_a,V_a_H,V_exp,V_exp1_H,V_exp2_H,V_list_H] :
      ( c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a) != c_Expr_Oexp_Othrow(V_exp,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I225_J_0]) ).

cnf(cls_exp_Osimps_I141_J_0,axiom,
    c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a) != c_Expr_Oexp_OLAss(V_a,V_exp,T_a),
    input ).

fof(cls_exp_Osimps_I141_J_0_0,plain,
    ! [T_a,V_a,V_exp,V_exp_H,V_list1_H,V_list2_H] :
      ( c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a) != c_Expr_Oexp_OLAss(V_a,V_exp,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I141_J_0]) ).

cnf(cls_exp_Osimps_I61_J_0,axiom,
    c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a) != c_Expr_Oexp_OCast(V_list,V_exp,T_a),
    input ).

fof(cls_exp_Osimps_I61_J_0_0,plain,
    ! [T_a,V_exp,V_exp1_H,V_exp2_H,V_list] :
      ( c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a) != c_Expr_Oexp_OCast(V_list,V_exp,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I61_J_0]) ).

cnf(cls_red__reds_OCondThrow_0,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(V_P),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    input ).

fof(cls_red__reds_OCondThrow_0_0,plain,
    ! [V_P,V_e,V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,V_s] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(V_P),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | $false ),
    inference(orientation,[status(thm)],[cls_red__reds_OCondThrow_0]) ).

cnf(cls_map__le__map__add_0,axiom,
    c_Map_Omap__le(V_f,c_Map_Omap__add(V_g,V_f,T_a,T_b),T_a,T_b),
    input ).

fof(cls_map__le__map__add_0_0,plain,
    ! [T_a,T_b,V_f,V_g] :
      ( c_Map_Omap__le(V_f,c_Map_Omap__add(V_g,V_f,T_a,T_b),T_a,T_b)
      | $false ),
    inference(orientation,[status(thm)],[cls_map__le__map__add_0]) ).

cnf(cls_exp_Osimps_I166_J_0,axiom,
    c_Expr_Oexp_OFAcc(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_Othrow(V_exp_H,T_a),
    input ).

fof(cls_exp_Osimps_I166_J_0_0,plain,
    ! [T_a,V_exp,V_exp_H,V_list1,V_list2] :
      ( c_Expr_Oexp_OFAcc(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_Othrow(V_exp_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I166_J_0]) ).

cnf(cls_exp_Osimps_I157_J_0,axiom,
    c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a) != c_Expr_Oexp_OFAcc(V_exp,V_list1,V_list2,T_a),
    input ).

fof(cls_exp_Osimps_I157_J_0_0,plain,
    ! [T_a,V_exp,V_exp_H,V_list1,V_list1_H,V_list2,V_list2_H] :
      ( c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a) != c_Expr_Oexp_OFAcc(V_exp,V_list1,V_list2,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I157_J_0]) ).

cnf(cls_exp_Osimps_I152_J_0,axiom,
    c_Expr_Oexp_OLAss(V_a,V_exp,T_a) != c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a),
    input ).

fof(cls_exp_Osimps_I152_J_0_0,plain,
    ! [T_a,V_a,V_a_H,V_exp,V_exp1_H,V_exp2_H,V_list_H] :
      ( c_Expr_Oexp_OLAss(V_a,V_exp,T_a) != c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I152_J_0]) ).

cnf(cls_exp_Osimps_I101_J_0,axiom,
    c_Expr_Oexp_OFAss(V_exp1_H,V_list1_H,V_list2_H,V_exp2_H,T_a) != c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a),
    input ).

fof(cls_exp_Osimps_I101_J_0_0,plain,
    ! [T_a,V_bop,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_list1_H,V_list2_H] :
      ( c_Expr_Oexp_OFAss(V_exp1_H,V_list1_H,V_list2_H,V_exp2_H,T_a) != c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I101_J_0]) ).

cnf(cls_exp_Osimps_I91_J_0,axiom,
    c_Expr_Oexp_Othrow(V_exp_H,T_a) != c_Expr_Oexp_OVal(V_val,T_a),
    input ).

fof(cls_exp_Osimps_I91_J_0_0,plain,
    ! [T_a,V_exp_H,V_val] :
      ( c_Expr_Oexp_Othrow(V_exp_H,T_a) != c_Expr_Oexp_OVal(V_val,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I91_J_0]) ).

cnf(cls_red__reds_ORedTry_0,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_OTryCatch(c_Expr_Oexp_OVal(V_v,tc_List_Olist(tc_String_Ochar)),V_C,V_V,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(V_v,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(V_P),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    input ).

fof(cls_red__reds_ORedTry_0_0,plain,
    ! [V_C,V_P,V_V,V_e_092_060_094isub_0622,V_s,V_v] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OTryCatch(c_Expr_Oexp_OVal(V_v,tc_List_Olist(tc_String_Ochar)),V_C,V_V,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(V_v,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(V_P),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | $false ),
    inference(orientation,[status(thm)],[cls_red__reds_ORedTry_0]) ).

cnf(cls_exp_Osimps_I57_J_0,axiom,
    c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a) != c_Expr_Oexp_OCast(V_list,V_exp,T_a),
    input ).

fof(cls_exp_Osimps_I57_J_0_0,plain,
    ! [T_a,V_exp,V_exp_H,V_list,V_list1_H,V_list2_H] :
      ( c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a) != c_Expr_Oexp_OCast(V_list,V_exp,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I57_J_0]) ).

cnf(cls_exp_Osimps_I85_J_0,axiom,
    c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a) != c_Expr_Oexp_OVal(V_val,T_a),
    input ).

fof(cls_exp_Osimps_I85_J_0_0,plain,
    ! [T_a,V_exp1_H,V_exp2_H,V_val] :
      ( c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a) != c_Expr_Oexp_OVal(V_val,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I85_J_0]) ).

cnf(cls_exp_Osimps_I96_J_0,axiom,
    c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a) != c_Expr_Oexp_OLAss(V_a_H,V_exp_H,T_a),
    input ).

fof(cls_exp_Osimps_I96_J_0_0,plain,
    ! [T_a,V_a_H,V_bop,V_exp1,V_exp2,V_exp_H] :
      ( c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a) != c_Expr_Oexp_OLAss(V_a_H,V_exp_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I96_J_0]) ).

cnf(cls_exp_Osimps_I114_J_0,axiom,
    c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a) != c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a),
    input ).

fof(cls_exp_Osimps_I114_J_0_0,plain,
    ! [T_a,V_a_H,V_bop,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_list_H] :
      ( c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a) != c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I114_J_0]) ).

cnf(cls_exp_Osimps_I180_J_0,axiom,
    c_Expr_Oexp_OFAss(V_exp1,V_list1,V_list2,V_exp2,T_a) != c_Expr_Oexp_Othrow(V_exp_H,T_a),
    input ).

fof(cls_exp_Osimps_I180_J_0_0,plain,
    ! [T_a,V_exp1,V_exp2,V_exp_H,V_list1,V_list2] :
      ( c_Expr_Oexp_OFAss(V_exp1,V_list1,V_list2,V_exp2,T_a) != c_Expr_Oexp_Othrow(V_exp_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I180_J_0]) ).

cnf(cls_exp_Osimps_I171_J_0,axiom,
    c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a) != c_Expr_Oexp_OFAss(V_exp1,V_list1,V_list2,V_exp2,T_a),
    input ).

fof(cls_exp_Osimps_I171_J_0_0,plain,
    ! [T_a,V_exp1,V_exp2,V_exp_H,V_list1,V_list1_H,V_list2,V_list2_H] :
      ( c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a) != c_Expr_Oexp_OFAss(V_exp1,V_list1,V_list2,V_exp2,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I171_J_0]) ).

cnf(cls_exp_Osimps_I176_J_0,axiom,
    c_Expr_Oexp_OFAss(V_exp1,V_list1,V_list2,V_exp2,T_a) != c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a),
    input ).

fof(cls_exp_Osimps_I176_J_0_0,plain,
    ! [T_a,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_exp3_H,V_list1,V_list2] :
      ( c_Expr_Oexp_OFAss(V_exp1,V_list1,V_list2,V_exp2,T_a) != c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I176_J_0]) ).

cnf(cls_exp_Osimps_I113_J_0,axiom,
    c_Expr_Oexp_Othrow(V_exp_H,T_a) != c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a),
    input ).

fof(cls_exp_Osimps_I113_J_0_0,plain,
    ! [T_a,V_bop,V_exp1,V_exp2,V_exp_H] :
      ( c_Expr_Oexp_Othrow(V_exp_H,T_a) != c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I113_J_0]) ).

cnf(cls_exp_Osimps_I81_J_0,axiom,
    c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a) != c_Expr_Oexp_OVal(V_val,T_a),
    input ).

fof(cls_exp_Osimps_I81_J_0_0,plain,
    ! [T_a,V_exp_H,V_list1_H,V_list2_H,V_val] :
      ( c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a) != c_Expr_Oexp_OVal(V_val,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I81_J_0]) ).

cnf(cls_red__reds_OBinOpThrow1_0,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_bop,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(V_P),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    input ).

fof(cls_red__reds_OBinOpThrow1_0_0,plain,
    ! [V_P,V_bop,V_e,V_e_092_060_094isub_0622,V_s] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_bop,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(V_P),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | $false ),
    inference(orientation,[status(thm)],[cls_red__reds_OBinOpThrow1_0]) ).

cnf(cls_exp_Osimps_I162_J_0,axiom,
    c_Expr_Oexp_OFAcc(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a),
    input ).

fof(cls_exp_Osimps_I162_J_0_0,plain,
    ! [T_a,V_exp,V_exp1_H,V_exp2_H,V_exp3_H,V_list1,V_list2] :
      ( c_Expr_Oexp_OFAcc(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I162_J_0]) ).

cnf(cls_exp_Osimps_I167_J_0,axiom,
    c_Expr_Oexp_Othrow(V_exp_H,T_a) != c_Expr_Oexp_OFAcc(V_exp,V_list1,V_list2,T_a),
    input ).

fof(cls_exp_Osimps_I167_J_0_0,plain,
    ! [T_a,V_exp,V_exp_H,V_list1,V_list2] :
      ( c_Expr_Oexp_Othrow(V_exp_H,T_a) != c_Expr_Oexp_OFAcc(V_exp,V_list1,V_list2,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I167_J_0]) ).

cnf(cls_exp_Osimps_I193_J_0,axiom,
    c_Expr_Oexp_Othrow(V_exp_H,T_a) != c_Expr_Oexp_OCall(V_exp,V_list1,V_list2,T_a),
    input ).

fof(cls_exp_Osimps_I193_J_0_0,plain,
    ! [T_a,V_exp,V_exp_H,V_list1,V_list2] :
      ( c_Expr_Oexp_Othrow(V_exp_H,T_a) != c_Expr_Oexp_OCall(V_exp,V_list1,V_list2,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I193_J_0]) ).

cnf(cls_exp_Osimps_I75_J_0,axiom,
    c_Expr_Oexp_OLAss(V_a_H,V_exp_H,T_a) != c_Expr_Oexp_OVal(V_val,T_a),
    input ).

fof(cls_exp_Osimps_I75_J_0_0,plain,
    ! [T_a,V_a_H,V_exp_H,V_val] :
      ( c_Expr_Oexp_OLAss(V_a_H,V_exp_H,T_a) != c_Expr_Oexp_OVal(V_val,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I75_J_0]) ).

cnf(cls_exp_Osimps_I67_J_0,axiom,
    c_Expr_Oexp_Othrow(V_exp_H,T_a) != c_Expr_Oexp_OCast(V_list,V_exp,T_a),
    input ).

fof(cls_exp_Osimps_I67_J_0_0,plain,
    ! [T_a,V_exp,V_exp_H,V_list] :
      ( c_Expr_Oexp_Othrow(V_exp_H,T_a) != c_Expr_Oexp_OCast(V_list,V_exp,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I67_J_0]) ).

cnf(cls_exp_Osimps_I181_J_0,axiom,
    c_Expr_Oexp_Othrow(V_exp_H,T_a) != c_Expr_Oexp_OFAss(V_exp1,V_list1,V_list2,V_exp2,T_a),
    input ).

fof(cls_exp_Osimps_I181_J_0_0,plain,
    ! [T_a,V_exp1,V_exp2,V_exp_H,V_list1,V_list2] :
      ( c_Expr_Oexp_Othrow(V_exp_H,T_a) != c_Expr_Oexp_OFAss(V_exp1,V_list1,V_list2,V_exp2,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I181_J_0]) ).

cnf(cls_exp_Osimps_I218_J_0,axiom,
    c_Expr_Oexp_OCond(V_exp1,V_exp2,V_exp3,T_a) != c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a),
    input ).

fof(cls_exp_Osimps_I218_J_0_0,plain,
    ! [T_a,V_a_H,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_exp3,V_list_H] :
      ( c_Expr_Oexp_OCond(V_exp1,V_exp2,V_exp3,T_a) != c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I218_J_0]) ).

cnf(cls_exp_Osimps_I77_J_0,axiom,
    c_Expr_Oexp_OFAcc(V_exp_H,V_list1_H,V_list2_H,T_a) != c_Expr_Oexp_OVal(V_val,T_a),
    input ).

fof(cls_exp_Osimps_I77_J_0_0,plain,
    ! [T_a,V_exp_H,V_list1_H,V_list2_H,V_val] :
      ( c_Expr_Oexp_OFAcc(V_exp_H,V_list1_H,V_list2_H,T_a) != c_Expr_Oexp_OVal(V_val,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I77_J_0]) ).

cnf(cls_exp_Osimps_I224_J_0,axiom,
    c_Expr_Oexp_Othrow(V_exp,T_a) != c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a),
    input ).

fof(cls_exp_Osimps_I224_J_0_0,plain,
    ! [T_a,V_a_H,V_exp,V_exp1_H,V_exp2_H,V_list_H] :
      ( c_Expr_Oexp_Othrow(V_exp,T_a) != c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I224_J_0]) ).

cnf(cls_exp_Osimps_I86_J_0,axiom,
    c_Expr_Oexp_OVal(V_val,T_a) != c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a),
    input ).

fof(cls_exp_Osimps_I86_J_0_0,plain,
    ! [T_a,V_exp1_H,V_exp2_H,V_exp3_H,V_val] :
      ( c_Expr_Oexp_OVal(V_val,T_a) != c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I86_J_0]) ).

cnf(cls_Domain__Id__on_0,axiom,
    c_Relation_ODomain(c_Relation_OId__on(V_A,T_a),T_a,T_a) = V_A,
    input ).

fof(cls_Domain__Id__on_0_0,plain,
    ! [T_a,V_A] :
      ( c_Relation_ODomain(c_Relation_OId__on(V_A,T_a),T_a,T_a) = V_A
      | $false ),
    inference(orientation,[status(thm)],[cls_Domain__Id__on_0]) ).

cnf(cls_exp_Osimps_I52_J_0,axiom,
    c_Expr_Oexp_OCast(V_list,V_exp,T_a) != c_Expr_Oexp_OFAcc(V_exp_H,V_list1_H,V_list2_H,T_a),
    input ).

fof(cls_exp_Osimps_I52_J_0_0,plain,
    ! [T_a,V_exp,V_exp_H,V_list,V_list1_H,V_list2_H] :
      ( c_Expr_Oexp_OCast(V_list,V_exp,T_a) != c_Expr_Oexp_OFAcc(V_exp_H,V_list1_H,V_list2_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I52_J_0]) ).

cnf(cls_exp_Osimps_I56_J_0,axiom,
    c_Expr_Oexp_OCast(V_list,V_exp,T_a) != c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a),
    input ).

fof(cls_exp_Osimps_I56_J_0_0,plain,
    ! [T_a,V_exp,V_exp_H,V_list,V_list1_H,V_list2_H] :
      ( c_Expr_Oexp_OCast(V_list,V_exp,T_a) != c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I56_J_0]) ).

cnf(cls_exp_Osimps_I103_J_0,axiom,
    c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a) != c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a),
    input ).

fof(cls_exp_Osimps_I103_J_0_0,plain,
    ! [T_a,V_bop,V_exp1,V_exp2,V_exp_H,V_list1_H,V_list2_H] :
      ( c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a) != c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I103_J_0]) ).

cnf(cls_exp_Osimps_I136_J_0,axiom,
    c_Expr_Oexp_OLAss(V_a,V_exp,T_a) != c_Expr_Oexp_OFAcc(V_exp_H,V_list1_H,V_list2_H,T_a),
    input ).

fof(cls_exp_Osimps_I136_J_0_0,plain,
    ! [T_a,V_a,V_exp,V_exp_H,V_list1_H,V_list2_H] :
      ( c_Expr_Oexp_OLAss(V_a,V_exp,T_a) != c_Expr_Oexp_OFAcc(V_exp_H,V_list1_H,V_list2_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I136_J_0]) ).

cnf(cls_exp_Osimps_I140_J_0,axiom,
    c_Expr_Oexp_OLAss(V_a,V_exp,T_a) != c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a),
    input ).

fof(cls_exp_Osimps_I140_J_0_0,plain,
    ! [T_a,V_a,V_exp,V_exp_H,V_list1_H,V_list2_H] :
      ( c_Expr_Oexp_OLAss(V_a,V_exp,T_a) != c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I140_J_0]) ).

cnf(cls_exp_Osimps_I79_J_0,axiom,
    c_Expr_Oexp_OFAss(V_exp1_H,V_list1_H,V_list2_H,V_exp2_H,T_a) != c_Expr_Oexp_OVal(V_val,T_a),
    input ).

fof(cls_exp_Osimps_I79_J_0_0,plain,
    ! [T_a,V_exp1_H,V_exp2_H,V_list1_H,V_list2_H,V_val] :
      ( c_Expr_Oexp_OFAss(V_exp1_H,V_list1_H,V_list2_H,V_exp2_H,T_a) != c_Expr_Oexp_OVal(V_val,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I79_J_0]) ).

cnf(cls_exp_Osimps_I139_J_0,axiom,
    c_Expr_Oexp_OFAss(V_exp1_H,V_list1_H,V_list2_H,V_exp2_H,T_a) != c_Expr_Oexp_OLAss(V_a,V_exp,T_a),
    input ).

fof(cls_exp_Osimps_I139_J_0_0,plain,
    ! [T_a,V_a,V_exp,V_exp1_H,V_exp2_H,V_list1_H,V_list2_H] :
      ( c_Expr_Oexp_OFAss(V_exp1_H,V_list1_H,V_list2_H,V_exp2_H,T_a) != c_Expr_Oexp_OLAss(V_a,V_exp,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I139_J_0]) ).

cnf(cls_exp_Osimps_I87_J_0,axiom,
    c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a) != c_Expr_Oexp_OVal(V_val,T_a),
    input ).

fof(cls_exp_Osimps_I87_J_0_0,plain,
    ! [T_a,V_exp1_H,V_exp2_H,V_exp3_H,V_val] :
      ( c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a) != c_Expr_Oexp_OVal(V_val,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I87_J_0]) ).

cnf(cls_exp_Osimps_I211_J_0,axiom,
    c_Expr_Oexp_Othrow(V_exp_H,T_a) != c_Expr_Oexp_OSeq(V_exp1,V_exp2,T_a),
    input ).

fof(cls_exp_Osimps_I211_J_0_0,plain,
    ! [T_a,V_exp1,V_exp2,V_exp_H] :
      ( c_Expr_Oexp_Othrow(V_exp_H,T_a) != c_Expr_Oexp_OSeq(V_exp1,V_exp2,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I211_J_0]) ).

cnf(cls_exp_Osimps_I163_J_0,axiom,
    c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a) != c_Expr_Oexp_OFAcc(V_exp,V_list1,V_list2,T_a),
    input ).

fof(cls_exp_Osimps_I163_J_0_0,plain,
    ! [T_a,V_exp,V_exp1_H,V_exp2_H,V_exp3_H,V_list1,V_list2] :
      ( c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a) != c_Expr_Oexp_OFAcc(V_exp,V_list1,V_list2,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I163_J_0]) ).

cnf(cls_exp_Osimps_I169_J_0,axiom,
    c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a) != c_Expr_Oexp_OFAcc(V_exp,V_list1,V_list2,T_a),
    input ).

fof(cls_exp_Osimps_I169_J_0_0,plain,
    ! [T_a,V_a_H,V_exp,V_exp1_H,V_exp2_H,V_list1,V_list2,V_list_H] :
      ( c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a) != c_Expr_Oexp_OFAcc(V_exp,V_list1,V_list2,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I169_J_0]) ).

cnf(cls_exp_Osimps_I189_J_0,axiom,
    c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a) != c_Expr_Oexp_OCall(V_exp,V_list1,V_list2,T_a),
    input ).

fof(cls_exp_Osimps_I189_J_0_0,plain,
    ! [T_a,V_exp,V_exp1_H,V_exp2_H,V_exp3_H,V_list1,V_list2] :
      ( c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a) != c_Expr_Oexp_OCall(V_exp,V_list1,V_list2,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I189_J_0]) ).

cnf(cls_exp_Osimps_I195_J_0,axiom,
    c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a) != c_Expr_Oexp_OCall(V_exp,V_list1,V_list2,T_a),
    input ).

fof(cls_exp_Osimps_I195_J_0_0,plain,
    ! [T_a,V_a_H,V_exp,V_exp1_H,V_exp2_H,V_list1,V_list2,V_list_H] :
      ( c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a) != c_Expr_Oexp_OCall(V_exp,V_list1,V_list2,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I195_J_0]) ).

cnf(cls_exp_Osimps_I51_J_0,axiom,
    c_Expr_Oexp_OLAss(V_a_H,V_exp_H,T_a) != c_Expr_Oexp_OCast(V_list,V_exp,T_a),
    input ).

fof(cls_exp_Osimps_I51_J_0_0,plain,
    ! [T_a,V_a_H,V_exp,V_exp_H,V_list] :
      ( c_Expr_Oexp_OLAss(V_a_H,V_exp_H,T_a) != c_Expr_Oexp_OCast(V_list,V_exp,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I51_J_0]) ).

cnf(cls_exp_Osimps_I63_J_0,axiom,
    c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a) != c_Expr_Oexp_OCast(V_list,V_exp,T_a),
    input ).

fof(cls_exp_Osimps_I63_J_0_0,plain,
    ! [T_a,V_exp,V_exp1_H,V_exp2_H,V_exp3_H,V_list] :
      ( c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a) != c_Expr_Oexp_OCast(V_list,V_exp,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I63_J_0]) ).

cnf(cls_exp_Osimps_I54_J_0,axiom,
    c_Expr_Oexp_OCast(V_list,V_exp,T_a) != c_Expr_Oexp_OFAss(V_exp1_H,V_list1_H,V_list2_H,V_exp2_H,T_a),
    input ).

fof(cls_exp_Osimps_I54_J_0_0,plain,
    ! [T_a,V_exp,V_exp1_H,V_exp2_H,V_list,V_list1_H,V_list2_H] :
      ( c_Expr_Oexp_OCast(V_list,V_exp,T_a) != c_Expr_Oexp_OFAss(V_exp1_H,V_list1_H,V_list2_H,V_exp2_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I54_J_0]) ).

cnf(cls_exp_Osimps_I69_J_0,axiom,
    c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a) != c_Expr_Oexp_OCast(V_list,V_exp,T_a),
    input ).

fof(cls_exp_Osimps_I69_J_0_0,plain,
    ! [T_a,V_a_H,V_exp,V_exp1_H,V_exp2_H,V_list,V_list_H] :
      ( c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a) != c_Expr_Oexp_OCast(V_list,V_exp,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I69_J_0]) ).

cnf(cls_exp_Osimps_I192_J_0,axiom,
    c_Expr_Oexp_OCall(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_Othrow(V_exp_H,T_a),
    input ).

fof(cls_exp_Osimps_I192_J_0_0,plain,
    ! [T_a,V_exp,V_exp_H,V_list1,V_list2] :
      ( c_Expr_Oexp_OCall(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_Othrow(V_exp_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I192_J_0]) ).

cnf(cls_exp_Osimps_I138_J_0,axiom,
    c_Expr_Oexp_OLAss(V_a,V_exp,T_a) != c_Expr_Oexp_OFAss(V_exp1_H,V_list1_H,V_list2_H,V_exp2_H,T_a),
    input ).

fof(cls_exp_Osimps_I138_J_0_0,plain,
    ! [T_a,V_a,V_exp,V_exp1_H,V_exp2_H,V_list1_H,V_list2_H] :
      ( c_Expr_Oexp_OLAss(V_a,V_exp,T_a) != c_Expr_Oexp_OFAss(V_exp1_H,V_list1_H,V_list2_H,V_exp2_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I138_J_0]) ).

cnf(cls_refl__on__Id__on_0,axiom,
    c_Relation_Orefl__on(V_A,c_Relation_OId__on(V_A,T_a),T_a),
    input ).

fof(cls_refl__on__Id__on_0_0,plain,
    ! [T_a,V_A] :
      ( c_Relation_Orefl__on(V_A,c_Relation_OId__on(V_A,T_a),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_refl__on__Id__on_0]) ).

cnf(cls_exp_Osimps_I137_J_0,axiom,
    c_Expr_Oexp_OFAcc(V_exp_H,V_list1_H,V_list2_H,T_a) != c_Expr_Oexp_OLAss(V_a,V_exp,T_a),
    input ).

fof(cls_exp_Osimps_I137_J_0_0,plain,
    ! [T_a,V_a,V_exp,V_exp_H,V_list1_H,V_list2_H] :
      ( c_Expr_Oexp_OFAcc(V_exp_H,V_list1_H,V_list2_H,T_a) != c_Expr_Oexp_OLAss(V_a,V_exp,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I137_J_0]) ).

cnf(cls_exp_Osimps_I206_J_0,axiom,
    c_Expr_Oexp_OSeq(V_exp1,V_exp2,T_a) != c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a),
    input ).

fof(cls_exp_Osimps_I206_J_0_0,plain,
    ! [T_a,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_exp3_H] :
      ( c_Expr_Oexp_OSeq(V_exp1,V_exp2,T_a) != c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I206_J_0]) ).

cnf(cls_exp_Osimps_I177_J_0,axiom,
    c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a) != c_Expr_Oexp_OFAss(V_exp1,V_list1,V_list2,V_exp2,T_a),
    input ).

fof(cls_exp_Osimps_I177_J_0_0,plain,
    ! [T_a,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_exp3_H,V_list1,V_list2] :
      ( c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a) != c_Expr_Oexp_OFAss(V_exp1,V_list1,V_list2,V_exp2,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I177_J_0]) ).

cnf(cls_exp_Osimps_I71_J_0,axiom,
    c_Expr_Oexp_OBinOp(V_exp1_H,V_bop_H,V_exp2_H,T_a) != c_Expr_Oexp_OVal(V_val,T_a),
    input ).

fof(cls_exp_Osimps_I71_J_0_0,plain,
    ! [T_a,V_bop_H,V_exp1_H,V_exp2_H,V_val] :
      ( c_Expr_Oexp_OBinOp(V_exp1_H,V_bop_H,V_exp2_H,T_a) != c_Expr_Oexp_OVal(V_val,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I71_J_0]) ).

cnf(cls_exp_Osimps_I183_J_0,axiom,
    c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a) != c_Expr_Oexp_OFAss(V_exp1,V_list1,V_list2,V_exp2,T_a),
    input ).

fof(cls_exp_Osimps_I183_J_0_0,plain,
    ! [T_a,V_a_H,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_list1,V_list2,V_list_H] :
      ( c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a) != c_Expr_Oexp_OFAss(V_exp1,V_list1,V_list2,V_exp2,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I183_J_0]) ).

cnf(cls_exp_Osimps_I186_J_0,axiom,
    c_Expr_Oexp_OCall(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a),
    input ).

fof(cls_exp_Osimps_I186_J_0_0,plain,
    ! [T_a,V_exp,V_exp1_H,V_exp2_H,V_list1,V_list2] :
      ( c_Expr_Oexp_OCall(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I186_J_0]) ).

cnf(cls_red__reds_OCastThrow_0,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(V_C,c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(V_P),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    input ).

fof(cls_red__reds_OCastThrow_0_0,plain,
    ! [V_C,V_P,V_e,V_s] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(V_C,c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(V_P),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | $false ),
    inference(orientation,[status(thm)],[cls_red__reds_OCastThrow_0]) ).

cnf(cls_exp_Osimps_I188_J_0,axiom,
    c_Expr_Oexp_OCall(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a),
    input ).

fof(cls_exp_Osimps_I188_J_0_0,plain,
    ! [T_a,V_exp,V_exp1_H,V_exp2_H,V_exp3_H,V_list1,V_list2] :
      ( c_Expr_Oexp_OCall(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I188_J_0]) ).

cnf(cls_exp_Osimps_I97_J_0,axiom,
    c_Expr_Oexp_OLAss(V_a_H,V_exp_H,T_a) != c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a),
    input ).

fof(cls_exp_Osimps_I97_J_0_0,plain,
    ! [T_a,V_a_H,V_bop,V_exp1,V_exp2,V_exp_H] :
      ( c_Expr_Oexp_OLAss(V_a_H,V_exp_H,T_a) != c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I97_J_0]) ).

cnf(cls_exp_Osimps_I98_J_0,axiom,
    c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a) != c_Expr_Oexp_OFAcc(V_exp_H,V_list1_H,V_list2_H,T_a),
    input ).

fof(cls_exp_Osimps_I98_J_0_0,plain,
    ! [T_a,V_bop,V_exp1,V_exp2,V_exp_H,V_list1_H,V_list2_H] :
      ( c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a) != c_Expr_Oexp_OFAcc(V_exp_H,V_list1_H,V_list2_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I98_J_0]) ).

cnf(cls_exp_Osimps_I102_J_0,axiom,
    c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a) != c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a),
    input ).

fof(cls_exp_Osimps_I102_J_0_0,plain,
    ! [T_a,V_bop,V_exp1,V_exp2,V_exp_H,V_list1_H,V_list2_H] :
      ( c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a) != c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I102_J_0]) ).

cnf(cls_exp_Osimps_I144_J_0,axiom,
    c_Expr_Oexp_OLAss(V_a,V_exp,T_a) != c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a),
    input ).

fof(cls_exp_Osimps_I144_J_0_0,plain,
    ! [T_a,V_a,V_exp,V_exp1_H,V_exp2_H] :
      ( c_Expr_Oexp_OLAss(V_a,V_exp,T_a) != c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I144_J_0]) ).

cnf(cls_exp_Osimps_I47_J_0,axiom,
    c_Expr_Oexp_OBinOp(V_exp1_H,V_bop_H,V_exp2_H,T_a) != c_Expr_Oexp_OCast(V_list,V_exp,T_a),
    input ).

fof(cls_exp_Osimps_I47_J_0_0,plain,
    ! [T_a,V_bop_H,V_exp,V_exp1_H,V_exp2_H,V_list] :
      ( c_Expr_Oexp_OBinOp(V_exp1_H,V_bop_H,V_exp2_H,T_a) != c_Expr_Oexp_OCast(V_list,V_exp,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I47_J_0]) ).

cnf(cls_red__reds_OLAssThrow_0,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(V_V,c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(V_P),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    input ).

fof(cls_red__reds_OLAssThrow_0_0,plain,
    ! [V_P,V_V,V_e,V_s] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(V_V,c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(V_P),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | $false ),
    inference(orientation,[status(thm)],[cls_red__reds_OLAssThrow_0]) ).

cnf(cls_exp_Osimps_I115_J_0,axiom,
    c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a) != c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a),
    input ).

fof(cls_exp_Osimps_I115_J_0_0,plain,
    ! [T_a,V_a_H,V_bop,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_list_H] :
      ( c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a) != c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I115_J_0]) ).

cnf(cls_exp_Osimps_I207_J_0,axiom,
    c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a) != c_Expr_Oexp_OSeq(V_exp1,V_exp2,T_a),
    input ).

fof(cls_exp_Osimps_I207_J_0_0,plain,
    ! [T_a,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_exp3_H] :
      ( c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a) != c_Expr_Oexp_OSeq(V_exp1,V_exp2,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I207_J_0]) ).

cnf(cls_exp_Osimps_I145_J_0,axiom,
    c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a) != c_Expr_Oexp_OLAss(V_a,V_exp,T_a),
    input ).

fof(cls_exp_Osimps_I145_J_0_0,plain,
    ! [T_a,V_a,V_exp,V_exp1_H,V_exp2_H] :
      ( c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a) != c_Expr_Oexp_OLAss(V_a,V_exp,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I145_J_0]) ).

cnf(cls_exp_Osimps_I44_J_0,axiom,
    c_Expr_Oexp_OCast(V_list,V_exp,T_a) != c_Expr_Oexp_OVal(V_val_H,T_a),
    input ).

fof(cls_exp_Osimps_I44_J_0_0,plain,
    ! [T_a,V_exp,V_list,V_val_H] :
      ( c_Expr_Oexp_OCast(V_list,V_exp,T_a) != c_Expr_Oexp_OVal(V_val_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I44_J_0]) ).

cnf(cls_exp_Osimps_I66_J_0,axiom,
    c_Expr_Oexp_OCast(V_list,V_exp,T_a) != c_Expr_Oexp_Othrow(V_exp_H,T_a),
    input ).

fof(cls_exp_Osimps_I66_J_0_0,plain,
    ! [T_a,V_exp,V_exp_H,V_list] :
      ( c_Expr_Oexp_OCast(V_list,V_exp,T_a) != c_Expr_Oexp_Othrow(V_exp_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I66_J_0]) ).

cnf(cls_Range__Id__on_0,axiom,
    c_Relation_ORange(c_Relation_OId__on(V_A,T_a),T_a,T_a) = V_A,
    input ).

fof(cls_Range__Id__on_0_0,plain,
    ! [T_a,V_A] :
      ( c_Relation_ORange(c_Relation_OId__on(V_A,T_a),T_a,T_a) = V_A
      | $false ),
    inference(orientation,[status(thm)],[cls_Range__Id__on_0]) ).

cnf(cls_exp_Osimps_I217_J_0,axiom,
    c_Expr_Oexp_Othrow(V_exp_H,T_a) != c_Expr_Oexp_OCond(V_exp1,V_exp2,V_exp3,T_a),
    input ).

fof(cls_exp_Osimps_I217_J_0_0,plain,
    ! [T_a,V_exp1,V_exp2,V_exp3,V_exp_H] :
      ( c_Expr_Oexp_Othrow(V_exp_H,T_a) != c_Expr_Oexp_OCond(V_exp1,V_exp2,V_exp3,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I217_J_0]) ).

cnf(cls_exp_Osimps_I168_J_0,axiom,
    c_Expr_Oexp_OFAcc(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a),
    input ).

fof(cls_exp_Osimps_I168_J_0_0,plain,
    ! [T_a,V_a_H,V_exp,V_exp1_H,V_exp2_H,V_list1,V_list2,V_list_H] :
      ( c_Expr_Oexp_OFAcc(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I168_J_0]) ).

cnf(cls_map__add__assoc_0,axiom,
    c_Map_Omap__add(V_m1,c_Map_Omap__add(V_m2,V_m3,T_a,T_b),T_a,T_b) = c_Map_Omap__add(c_Map_Omap__add(V_m1,V_m2,T_a,T_b),V_m3,T_a,T_b),
    input ).

fof(cls_map__add__assoc_0_0,plain,
    ! [T_a,T_b,V_m1,V_m2,V_m3] :
      ( c_Map_Omap__add(V_m1,c_Map_Omap__add(V_m2,V_m3,T_a,T_b),T_a,T_b) = c_Map_Omap__add(c_Map_Omap__add(V_m1,V_m2,T_a,T_b),V_m3,T_a,T_b)
      | $false ),
    inference(orientation,[status(thm)],[cls_map__add__assoc_0]) ).

cnf(cls_exp_Osimps_I216_J_0,axiom,
    c_Expr_Oexp_OCond(V_exp1,V_exp2,V_exp3,T_a) != c_Expr_Oexp_Othrow(V_exp_H,T_a),
    input ).

fof(cls_exp_Osimps_I216_J_0_0,plain,
    ! [T_a,V_exp1,V_exp2,V_exp3,V_exp_H] :
      ( c_Expr_Oexp_OCond(V_exp1,V_exp2,V_exp3,T_a) != c_Expr_Oexp_Othrow(V_exp_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I216_J_0]) ).

cnf(cls_exp_Osimps_I46_J_0,axiom,
    c_Expr_Oexp_OCast(V_list,V_exp,T_a) != c_Expr_Oexp_OBinOp(V_exp1_H,V_bop_H,V_exp2_H,T_a),
    input ).

fof(cls_exp_Osimps_I46_J_0_0,plain,
    ! [T_a,V_bop_H,V_exp,V_exp1_H,V_exp2_H,V_list] :
      ( c_Expr_Oexp_OCast(V_list,V_exp,T_a) != c_Expr_Oexp_OBinOp(V_exp1_H,V_bop_H,V_exp2_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I46_J_0]) ).

cnf(cls_exp_Osimps_I74_J_0,axiom,
    c_Expr_Oexp_OVal(V_val,T_a) != c_Expr_Oexp_OLAss(V_a_H,V_exp_H,T_a),
    input ).

fof(cls_exp_Osimps_I74_J_0_0,plain,
    ! [T_a,V_a_H,V_exp_H,V_val] :
      ( c_Expr_Oexp_OVal(V_val,T_a) != c_Expr_Oexp_OLAss(V_a_H,V_exp_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I74_J_0]) ).

cnf(cls_exp_Osimps_I100_J_0,axiom,
    c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a) != c_Expr_Oexp_OFAss(V_exp1_H,V_list1_H,V_list2_H,V_exp2_H,T_a),
    input ).

fof(cls_exp_Osimps_I100_J_0_0,plain,
    ! [T_a,V_bop,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_list1_H,V_list2_H] :
      ( c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a) != c_Expr_Oexp_OFAss(V_exp1_H,V_list1_H,V_list2_H,V_exp2_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I100_J_0]) ).

cnf(cls_exp_Osimps_I182_J_0,axiom,
    c_Expr_Oexp_OFAss(V_exp1,V_list1,V_list2,V_exp2,T_a) != c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a),
    input ).

fof(cls_exp_Osimps_I182_J_0_0,plain,
    ! [T_a,V_a_H,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_list1,V_list2,V_list_H] :
      ( c_Expr_Oexp_OFAss(V_exp1,V_list1,V_list2,V_exp2,T_a) != c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I182_J_0]) ).

cnf(cls_exp_Osimps_I109_J_0,axiom,
    c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a) != c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a),
    input ).

fof(cls_exp_Osimps_I109_J_0_0,plain,
    ! [T_a,V_bop,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_exp3_H] :
      ( c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a) != c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I109_J_0]) ).

cnf(cls_exp_Osimps_I150_J_0,axiom,
    c_Expr_Oexp_OLAss(V_a,V_exp,T_a) != c_Expr_Oexp_Othrow(V_exp_H,T_a),
    input ).

fof(cls_exp_Osimps_I150_J_0_0,plain,
    ! [T_a,V_a,V_exp,V_exp_H] :
      ( c_Expr_Oexp_OLAss(V_a,V_exp,T_a) != c_Expr_Oexp_Othrow(V_exp_H,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_exp_Osimps_I150_J_0]) ).

fof(def_lhs_atom1,axiom,
    ! [V_exp_H,V_exp,V_a,T_a] :
      ( lhs_atom1(V_exp_H,V_exp,V_a,T_a)
    <=> c_Expr_Oexp_OLAss(V_a,V_exp,T_a) != c_Expr_Oexp_Othrow(V_exp_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_0,plain,
    ! [T_a,V_a,V_exp,V_exp_H] :
      ( lhs_atom1(V_exp_H,V_exp,V_a,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I150_J_0_0,def_lhs_atom1]) ).

fof(def_lhs_atom2,axiom,
    ! [V_exp3_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_bop,T_a] :
      ( lhs_atom2(V_exp3_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_bop,T_a)
    <=> c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a) != c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_1,plain,
    ! [T_a,V_bop,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_exp3_H] :
      ( lhs_atom2(V_exp3_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_bop,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I109_J_0_0,def_lhs_atom2]) ).

fof(def_lhs_atom3,axiom,
    ! [V_list_H,V_list2,V_list1,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_a_H,T_a] :
      ( lhs_atom3(V_list_H,V_list2,V_list1,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_a_H,T_a)
    <=> c_Expr_Oexp_OFAss(V_exp1,V_list1,V_list2,V_exp2,T_a) != c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_2,plain,
    ! [T_a,V_a_H,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_list1,V_list2,V_list_H] :
      ( lhs_atom3(V_list_H,V_list2,V_list1,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_a_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I182_J_0_0,def_lhs_atom3]) ).

fof(def_lhs_atom4,axiom,
    ! [V_list2_H,V_list1_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_bop,T_a] :
      ( lhs_atom4(V_list2_H,V_list1_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_bop,T_a)
    <=> c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a) != c_Expr_Oexp_OFAss(V_exp1_H,V_list1_H,V_list2_H,V_exp2_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_3,plain,
    ! [T_a,V_bop,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_list1_H,V_list2_H] :
      ( lhs_atom4(V_list2_H,V_list1_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_bop,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I100_J_0_0,def_lhs_atom4]) ).

fof(def_lhs_atom5,axiom,
    ! [V_val,V_exp_H,V_a_H,T_a] :
      ( lhs_atom5(V_val,V_exp_H,V_a_H,T_a)
    <=> c_Expr_Oexp_OVal(V_val,T_a) != c_Expr_Oexp_OLAss(V_a_H,V_exp_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_4,plain,
    ! [T_a,V_a_H,V_exp_H,V_val] :
      ( lhs_atom5(V_val,V_exp_H,V_a_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I74_J_0_0,def_lhs_atom5]) ).

fof(def_lhs_atom6,axiom,
    ! [V_list,V_exp2_H,V_exp1_H,V_exp,V_bop_H,T_a] :
      ( lhs_atom6(V_list,V_exp2_H,V_exp1_H,V_exp,V_bop_H,T_a)
    <=> c_Expr_Oexp_OCast(V_list,V_exp,T_a) != c_Expr_Oexp_OBinOp(V_exp1_H,V_bop_H,V_exp2_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_5,plain,
    ! [T_a,V_bop_H,V_exp,V_exp1_H,V_exp2_H,V_list] :
      ( lhs_atom6(V_list,V_exp2_H,V_exp1_H,V_exp,V_bop_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I46_J_0_0,def_lhs_atom6]) ).

fof(def_lhs_atom7,axiom,
    ! [V_exp_H,V_exp3,V_exp2,V_exp1,T_a] :
      ( lhs_atom7(V_exp_H,V_exp3,V_exp2,V_exp1,T_a)
    <=> c_Expr_Oexp_OCond(V_exp1,V_exp2,V_exp3,T_a) != c_Expr_Oexp_Othrow(V_exp_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_6,plain,
    ! [T_a,V_exp1,V_exp2,V_exp3,V_exp_H] :
      ( lhs_atom7(V_exp_H,V_exp3,V_exp2,V_exp1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I216_J_0_0,def_lhs_atom7]) ).

fof(def_lhs_atom8,axiom,
    ! [V_m3,V_m2,V_m1,T_b,T_a] :
      ( lhs_atom8(V_m3,V_m2,V_m1,T_b,T_a)
    <=> c_Map_Omap__add(V_m1,c_Map_Omap__add(V_m2,V_m3,T_a,T_b),T_a,T_b) = c_Map_Omap__add(c_Map_Omap__add(V_m1,V_m2,T_a,T_b),V_m3,T_a,T_b) ),
    inference(definition,[],]) ).

fof(to_be_clausified_7,plain,
    ! [T_a,T_b,V_m1,V_m2,V_m3] :
      ( lhs_atom8(V_m3,V_m2,V_m1,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_map__add__assoc_0_0,def_lhs_atom8]) ).

fof(def_lhs_atom9,axiom,
    ! [V_list_H,V_list2,V_list1,V_exp2_H,V_exp1_H,V_exp,V_a_H,T_a] :
      ( lhs_atom9(V_list_H,V_list2,V_list1,V_exp2_H,V_exp1_H,V_exp,V_a_H,T_a)
    <=> c_Expr_Oexp_OFAcc(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_8,plain,
    ! [T_a,V_a_H,V_exp,V_exp1_H,V_exp2_H,V_list1,V_list2,V_list_H] :
      ( lhs_atom9(V_list_H,V_list2,V_list1,V_exp2_H,V_exp1_H,V_exp,V_a_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I168_J_0_0,def_lhs_atom9]) ).

fof(def_lhs_atom10,axiom,
    ! [V_exp_H,V_exp3,V_exp2,V_exp1,T_a] :
      ( lhs_atom10(V_exp_H,V_exp3,V_exp2,V_exp1,T_a)
    <=> c_Expr_Oexp_Othrow(V_exp_H,T_a) != c_Expr_Oexp_OCond(V_exp1,V_exp2,V_exp3,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_9,plain,
    ! [T_a,V_exp1,V_exp2,V_exp3,V_exp_H] :
      ( lhs_atom10(V_exp_H,V_exp3,V_exp2,V_exp1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I217_J_0_0,def_lhs_atom10]) ).

fof(def_lhs_atom11,axiom,
    ! [V_A,T_a] :
      ( lhs_atom11(V_A,T_a)
    <=> c_Relation_ORange(c_Relation_OId__on(V_A,T_a),T_a,T_a) = V_A ),
    inference(definition,[],]) ).

fof(to_be_clausified_10,plain,
    ! [T_a,V_A] :
      ( lhs_atom11(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Range__Id__on_0_0,def_lhs_atom11]) ).

fof(def_lhs_atom12,axiom,
    ! [V_list,V_exp_H,V_exp,T_a] :
      ( lhs_atom12(V_list,V_exp_H,V_exp,T_a)
    <=> c_Expr_Oexp_OCast(V_list,V_exp,T_a) != c_Expr_Oexp_Othrow(V_exp_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_11,plain,
    ! [T_a,V_exp,V_exp_H,V_list] :
      ( lhs_atom12(V_list,V_exp_H,V_exp,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I66_J_0_0,def_lhs_atom12]) ).

fof(def_lhs_atom13,axiom,
    ! [V_val_H,V_list,V_exp,T_a] :
      ( lhs_atom13(V_val_H,V_list,V_exp,T_a)
    <=> c_Expr_Oexp_OCast(V_list,V_exp,T_a) != c_Expr_Oexp_OVal(V_val_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_12,plain,
    ! [T_a,V_exp,V_list,V_val_H] :
      ( lhs_atom13(V_val_H,V_list,V_exp,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I44_J_0_0,def_lhs_atom13]) ).

fof(def_lhs_atom14,axiom,
    ! [V_exp2_H,V_exp1_H,V_exp,V_a,T_a] :
      ( lhs_atom14(V_exp2_H,V_exp1_H,V_exp,V_a,T_a)
    <=> c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a) != c_Expr_Oexp_OLAss(V_a,V_exp,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_13,plain,
    ! [T_a,V_a,V_exp,V_exp1_H,V_exp2_H] :
      ( lhs_atom14(V_exp2_H,V_exp1_H,V_exp,V_a,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I145_J_0_0,def_lhs_atom14]) ).

fof(def_lhs_atom15,axiom,
    ! [V_exp3_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,T_a] :
      ( lhs_atom15(V_exp3_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,T_a)
    <=> c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a) != c_Expr_Oexp_OSeq(V_exp1,V_exp2,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_14,plain,
    ! [T_a,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_exp3_H] :
      ( lhs_atom15(V_exp3_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I207_J_0_0,def_lhs_atom15]) ).

fof(def_lhs_atom16,axiom,
    ! [V_list_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_bop,V_a_H,T_a] :
      ( lhs_atom16(V_list_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_bop,V_a_H,T_a)
    <=> c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a) != c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_15,plain,
    ! [T_a,V_a_H,V_bop,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_list_H] :
      ( lhs_atom16(V_list_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_bop,V_a_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I115_J_0_0,def_lhs_atom16]) ).

fof(def_lhs_atom17,axiom,
    ! [V_s,V_e,V_V,V_P] :
      ( lhs_atom17(V_s,V_e,V_V,V_P)
    <=> c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(V_V,c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(V_P),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(definition,[],]) ).

fof(to_be_clausified_16,plain,
    ! [V_P,V_V,V_e,V_s] :
      ( lhs_atom17(V_s,V_e,V_V,V_P)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_red__reds_OLAssThrow_0_0,def_lhs_atom17]) ).

fof(def_lhs_atom18,axiom,
    ! [V_list,V_exp2_H,V_exp1_H,V_exp,V_bop_H,T_a] :
      ( lhs_atom18(V_list,V_exp2_H,V_exp1_H,V_exp,V_bop_H,T_a)
    <=> c_Expr_Oexp_OBinOp(V_exp1_H,V_bop_H,V_exp2_H,T_a) != c_Expr_Oexp_OCast(V_list,V_exp,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_17,plain,
    ! [T_a,V_bop_H,V_exp,V_exp1_H,V_exp2_H,V_list] :
      ( lhs_atom18(V_list,V_exp2_H,V_exp1_H,V_exp,V_bop_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I47_J_0_0,def_lhs_atom18]) ).

fof(def_lhs_atom19,axiom,
    ! [V_exp2_H,V_exp1_H,V_exp,V_a,T_a] :
      ( lhs_atom19(V_exp2_H,V_exp1_H,V_exp,V_a,T_a)
    <=> c_Expr_Oexp_OLAss(V_a,V_exp,T_a) != c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_18,plain,
    ! [T_a,V_a,V_exp,V_exp1_H,V_exp2_H] :
      ( lhs_atom19(V_exp2_H,V_exp1_H,V_exp,V_a,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I144_J_0_0,def_lhs_atom19]) ).

fof(def_lhs_atom20,axiom,
    ! [V_list2_H,V_list1_H,V_exp_H,V_exp2,V_exp1,V_bop,T_a] :
      ( lhs_atom20(V_list2_H,V_list1_H,V_exp_H,V_exp2,V_exp1,V_bop,T_a)
    <=> c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a) != c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_19,plain,
    ! [T_a,V_bop,V_exp1,V_exp2,V_exp_H,V_list1_H,V_list2_H] :
      ( lhs_atom20(V_list2_H,V_list1_H,V_exp_H,V_exp2,V_exp1,V_bop,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I102_J_0_0,def_lhs_atom20]) ).

fof(def_lhs_atom21,axiom,
    ! [V_list2_H,V_list1_H,V_exp_H,V_exp2,V_exp1,V_bop,T_a] :
      ( lhs_atom21(V_list2_H,V_list1_H,V_exp_H,V_exp2,V_exp1,V_bop,T_a)
    <=> c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a) != c_Expr_Oexp_OFAcc(V_exp_H,V_list1_H,V_list2_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_20,plain,
    ! [T_a,V_bop,V_exp1,V_exp2,V_exp_H,V_list1_H,V_list2_H] :
      ( lhs_atom21(V_list2_H,V_list1_H,V_exp_H,V_exp2,V_exp1,V_bop,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I98_J_0_0,def_lhs_atom21]) ).

fof(def_lhs_atom22,axiom,
    ! [V_exp_H,V_exp2,V_exp1,V_bop,V_a_H,T_a] :
      ( lhs_atom22(V_exp_H,V_exp2,V_exp1,V_bop,V_a_H,T_a)
    <=> c_Expr_Oexp_OLAss(V_a_H,V_exp_H,T_a) != c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_21,plain,
    ! [T_a,V_a_H,V_bop,V_exp1,V_exp2,V_exp_H] :
      ( lhs_atom22(V_exp_H,V_exp2,V_exp1,V_bop,V_a_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I97_J_0_0,def_lhs_atom22]) ).

fof(def_lhs_atom23,axiom,
    ! [V_list2,V_list1,V_exp3_H,V_exp2_H,V_exp1_H,V_exp,T_a] :
      ( lhs_atom23(V_list2,V_list1,V_exp3_H,V_exp2_H,V_exp1_H,V_exp,T_a)
    <=> c_Expr_Oexp_OCall(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_22,plain,
    ! [T_a,V_exp,V_exp1_H,V_exp2_H,V_exp3_H,V_list1,V_list2] :
      ( lhs_atom23(V_list2,V_list1,V_exp3_H,V_exp2_H,V_exp1_H,V_exp,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I188_J_0_0,def_lhs_atom23]) ).

fof(def_lhs_atom24,axiom,
    ! [V_s,V_e,V_P,V_C] :
      ( lhs_atom24(V_s,V_e,V_P,V_C)
    <=> c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(V_C,c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(V_P),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(definition,[],]) ).

fof(to_be_clausified_23,plain,
    ! [V_C,V_P,V_e,V_s] :
      ( lhs_atom24(V_s,V_e,V_P,V_C)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_red__reds_OCastThrow_0_0,def_lhs_atom24]) ).

fof(def_lhs_atom25,axiom,
    ! [V_list2,V_list1,V_exp2_H,V_exp1_H,V_exp,T_a] :
      ( lhs_atom25(V_list2,V_list1,V_exp2_H,V_exp1_H,V_exp,T_a)
    <=> c_Expr_Oexp_OCall(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_24,plain,
    ! [T_a,V_exp,V_exp1_H,V_exp2_H,V_list1,V_list2] :
      ( lhs_atom25(V_list2,V_list1,V_exp2_H,V_exp1_H,V_exp,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I186_J_0_0,def_lhs_atom25]) ).

fof(def_lhs_atom26,axiom,
    ! [V_list_H,V_list2,V_list1,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_a_H,T_a] :
      ( lhs_atom26(V_list_H,V_list2,V_list1,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_a_H,T_a)
    <=> c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a) != c_Expr_Oexp_OFAss(V_exp1,V_list1,V_list2,V_exp2,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_25,plain,
    ! [T_a,V_a_H,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_list1,V_list2,V_list_H] :
      ( lhs_atom26(V_list_H,V_list2,V_list1,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_a_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I183_J_0_0,def_lhs_atom26]) ).

fof(def_lhs_atom27,axiom,
    ! [V_val,V_exp2_H,V_exp1_H,V_bop_H,T_a] :
      ( lhs_atom27(V_val,V_exp2_H,V_exp1_H,V_bop_H,T_a)
    <=> c_Expr_Oexp_OBinOp(V_exp1_H,V_bop_H,V_exp2_H,T_a) != c_Expr_Oexp_OVal(V_val,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_26,plain,
    ! [T_a,V_bop_H,V_exp1_H,V_exp2_H,V_val] :
      ( lhs_atom27(V_val,V_exp2_H,V_exp1_H,V_bop_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I71_J_0_0,def_lhs_atom27]) ).

fof(def_lhs_atom28,axiom,
    ! [V_list2,V_list1,V_exp3_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,T_a] :
      ( lhs_atom28(V_list2,V_list1,V_exp3_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,T_a)
    <=> c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a) != c_Expr_Oexp_OFAss(V_exp1,V_list1,V_list2,V_exp2,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_27,plain,
    ! [T_a,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_exp3_H,V_list1,V_list2] :
      ( lhs_atom28(V_list2,V_list1,V_exp3_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I177_J_0_0,def_lhs_atom28]) ).

fof(def_lhs_atom29,axiom,
    ! [V_exp3_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,T_a] :
      ( lhs_atom29(V_exp3_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,T_a)
    <=> c_Expr_Oexp_OSeq(V_exp1,V_exp2,T_a) != c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_28,plain,
    ! [T_a,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_exp3_H] :
      ( lhs_atom29(V_exp3_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I206_J_0_0,def_lhs_atom29]) ).

fof(def_lhs_atom30,axiom,
    ! [V_list2_H,V_list1_H,V_exp_H,V_exp,V_a,T_a] :
      ( lhs_atom30(V_list2_H,V_list1_H,V_exp_H,V_exp,V_a,T_a)
    <=> c_Expr_Oexp_OFAcc(V_exp_H,V_list1_H,V_list2_H,T_a) != c_Expr_Oexp_OLAss(V_a,V_exp,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_29,plain,
    ! [T_a,V_a,V_exp,V_exp_H,V_list1_H,V_list2_H] :
      ( lhs_atom30(V_list2_H,V_list1_H,V_exp_H,V_exp,V_a,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I137_J_0_0,def_lhs_atom30]) ).

fof(def_lhs_atom31,axiom,
    ! [V_A,T_a] :
      ( lhs_atom31(V_A,T_a)
    <=> c_Relation_Orefl__on(V_A,c_Relation_OId__on(V_A,T_a),T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_30,plain,
    ! [T_a,V_A] :
      ( lhs_atom31(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_refl__on__Id__on_0_0,def_lhs_atom31]) ).

fof(def_lhs_atom32,axiom,
    ! [V_list2_H,V_list1_H,V_exp2_H,V_exp1_H,V_exp,V_a,T_a] :
      ( lhs_atom32(V_list2_H,V_list1_H,V_exp2_H,V_exp1_H,V_exp,V_a,T_a)
    <=> c_Expr_Oexp_OLAss(V_a,V_exp,T_a) != c_Expr_Oexp_OFAss(V_exp1_H,V_list1_H,V_list2_H,V_exp2_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_31,plain,
    ! [T_a,V_a,V_exp,V_exp1_H,V_exp2_H,V_list1_H,V_list2_H] :
      ( lhs_atom32(V_list2_H,V_list1_H,V_exp2_H,V_exp1_H,V_exp,V_a,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I138_J_0_0,def_lhs_atom32]) ).

fof(def_lhs_atom33,axiom,
    ! [V_list2,V_list1,V_exp_H,V_exp,T_a] :
      ( lhs_atom33(V_list2,V_list1,V_exp_H,V_exp,T_a)
    <=> c_Expr_Oexp_OCall(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_Othrow(V_exp_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_32,plain,
    ! [T_a,V_exp,V_exp_H,V_list1,V_list2] :
      ( lhs_atom33(V_list2,V_list1,V_exp_H,V_exp,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I192_J_0_0,def_lhs_atom33]) ).

fof(def_lhs_atom34,axiom,
    ! [V_list_H,V_list,V_exp2_H,V_exp1_H,V_exp,V_a_H,T_a] :
      ( lhs_atom34(V_list_H,V_list,V_exp2_H,V_exp1_H,V_exp,V_a_H,T_a)
    <=> c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a) != c_Expr_Oexp_OCast(V_list,V_exp,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_33,plain,
    ! [T_a,V_a_H,V_exp,V_exp1_H,V_exp2_H,V_list,V_list_H] :
      ( lhs_atom34(V_list_H,V_list,V_exp2_H,V_exp1_H,V_exp,V_a_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I69_J_0_0,def_lhs_atom34]) ).

fof(def_lhs_atom35,axiom,
    ! [V_list2_H,V_list1_H,V_list,V_exp2_H,V_exp1_H,V_exp,T_a] :
      ( lhs_atom35(V_list2_H,V_list1_H,V_list,V_exp2_H,V_exp1_H,V_exp,T_a)
    <=> c_Expr_Oexp_OCast(V_list,V_exp,T_a) != c_Expr_Oexp_OFAss(V_exp1_H,V_list1_H,V_list2_H,V_exp2_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_34,plain,
    ! [T_a,V_exp,V_exp1_H,V_exp2_H,V_list,V_list1_H,V_list2_H] :
      ( lhs_atom35(V_list2_H,V_list1_H,V_list,V_exp2_H,V_exp1_H,V_exp,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I54_J_0_0,def_lhs_atom35]) ).

fof(def_lhs_atom36,axiom,
    ! [V_list,V_exp3_H,V_exp2_H,V_exp1_H,V_exp,T_a] :
      ( lhs_atom36(V_list,V_exp3_H,V_exp2_H,V_exp1_H,V_exp,T_a)
    <=> c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a) != c_Expr_Oexp_OCast(V_list,V_exp,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_35,plain,
    ! [T_a,V_exp,V_exp1_H,V_exp2_H,V_exp3_H,V_list] :
      ( lhs_atom36(V_list,V_exp3_H,V_exp2_H,V_exp1_H,V_exp,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I63_J_0_0,def_lhs_atom36]) ).

fof(def_lhs_atom37,axiom,
    ! [V_list,V_exp_H,V_exp,V_a_H,T_a] :
      ( lhs_atom37(V_list,V_exp_H,V_exp,V_a_H,T_a)
    <=> c_Expr_Oexp_OLAss(V_a_H,V_exp_H,T_a) != c_Expr_Oexp_OCast(V_list,V_exp,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_36,plain,
    ! [T_a,V_a_H,V_exp,V_exp_H,V_list] :
      ( lhs_atom37(V_list,V_exp_H,V_exp,V_a_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I51_J_0_0,def_lhs_atom37]) ).

fof(def_lhs_atom38,axiom,
    ! [V_list_H,V_list2,V_list1,V_exp2_H,V_exp1_H,V_exp,V_a_H,T_a] :
      ( lhs_atom38(V_list_H,V_list2,V_list1,V_exp2_H,V_exp1_H,V_exp,V_a_H,T_a)
    <=> c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a) != c_Expr_Oexp_OCall(V_exp,V_list1,V_list2,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_37,plain,
    ! [T_a,V_a_H,V_exp,V_exp1_H,V_exp2_H,V_list1,V_list2,V_list_H] :
      ( lhs_atom38(V_list_H,V_list2,V_list1,V_exp2_H,V_exp1_H,V_exp,V_a_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I195_J_0_0,def_lhs_atom38]) ).

fof(def_lhs_atom39,axiom,
    ! [V_list2,V_list1,V_exp3_H,V_exp2_H,V_exp1_H,V_exp,T_a] :
      ( lhs_atom39(V_list2,V_list1,V_exp3_H,V_exp2_H,V_exp1_H,V_exp,T_a)
    <=> c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a) != c_Expr_Oexp_OCall(V_exp,V_list1,V_list2,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_38,plain,
    ! [T_a,V_exp,V_exp1_H,V_exp2_H,V_exp3_H,V_list1,V_list2] :
      ( lhs_atom39(V_list2,V_list1,V_exp3_H,V_exp2_H,V_exp1_H,V_exp,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I189_J_0_0,def_lhs_atom39]) ).

fof(def_lhs_atom40,axiom,
    ! [V_list_H,V_list2,V_list1,V_exp2_H,V_exp1_H,V_exp,V_a_H,T_a] :
      ( lhs_atom40(V_list_H,V_list2,V_list1,V_exp2_H,V_exp1_H,V_exp,V_a_H,T_a)
    <=> c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a) != c_Expr_Oexp_OFAcc(V_exp,V_list1,V_list2,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_39,plain,
    ! [T_a,V_a_H,V_exp,V_exp1_H,V_exp2_H,V_list1,V_list2,V_list_H] :
      ( lhs_atom40(V_list_H,V_list2,V_list1,V_exp2_H,V_exp1_H,V_exp,V_a_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I169_J_0_0,def_lhs_atom40]) ).

fof(def_lhs_atom41,axiom,
    ! [V_list2,V_list1,V_exp3_H,V_exp2_H,V_exp1_H,V_exp,T_a] :
      ( lhs_atom41(V_list2,V_list1,V_exp3_H,V_exp2_H,V_exp1_H,V_exp,T_a)
    <=> c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a) != c_Expr_Oexp_OFAcc(V_exp,V_list1,V_list2,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_40,plain,
    ! [T_a,V_exp,V_exp1_H,V_exp2_H,V_exp3_H,V_list1,V_list2] :
      ( lhs_atom41(V_list2,V_list1,V_exp3_H,V_exp2_H,V_exp1_H,V_exp,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I163_J_0_0,def_lhs_atom41]) ).

fof(def_lhs_atom42,axiom,
    ! [V_exp_H,V_exp2,V_exp1,T_a] :
      ( lhs_atom42(V_exp_H,V_exp2,V_exp1,T_a)
    <=> c_Expr_Oexp_Othrow(V_exp_H,T_a) != c_Expr_Oexp_OSeq(V_exp1,V_exp2,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_41,plain,
    ! [T_a,V_exp1,V_exp2,V_exp_H] :
      ( lhs_atom42(V_exp_H,V_exp2,V_exp1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I211_J_0_0,def_lhs_atom42]) ).

fof(def_lhs_atom43,axiom,
    ! [V_val,V_exp3_H,V_exp2_H,V_exp1_H,T_a] :
      ( lhs_atom43(V_val,V_exp3_H,V_exp2_H,V_exp1_H,T_a)
    <=> c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a) != c_Expr_Oexp_OVal(V_val,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_42,plain,
    ! [T_a,V_exp1_H,V_exp2_H,V_exp3_H,V_val] :
      ( lhs_atom43(V_val,V_exp3_H,V_exp2_H,V_exp1_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I87_J_0_0,def_lhs_atom43]) ).

fof(def_lhs_atom44,axiom,
    ! [V_list2_H,V_list1_H,V_exp2_H,V_exp1_H,V_exp,V_a,T_a] :
      ( lhs_atom44(V_list2_H,V_list1_H,V_exp2_H,V_exp1_H,V_exp,V_a,T_a)
    <=> c_Expr_Oexp_OFAss(V_exp1_H,V_list1_H,V_list2_H,V_exp2_H,T_a) != c_Expr_Oexp_OLAss(V_a,V_exp,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_43,plain,
    ! [T_a,V_a,V_exp,V_exp1_H,V_exp2_H,V_list1_H,V_list2_H] :
      ( lhs_atom44(V_list2_H,V_list1_H,V_exp2_H,V_exp1_H,V_exp,V_a,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I139_J_0_0,def_lhs_atom44]) ).

fof(def_lhs_atom45,axiom,
    ! [V_val,V_list2_H,V_list1_H,V_exp2_H,V_exp1_H,T_a] :
      ( lhs_atom45(V_val,V_list2_H,V_list1_H,V_exp2_H,V_exp1_H,T_a)
    <=> c_Expr_Oexp_OFAss(V_exp1_H,V_list1_H,V_list2_H,V_exp2_H,T_a) != c_Expr_Oexp_OVal(V_val,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_44,plain,
    ! [T_a,V_exp1_H,V_exp2_H,V_list1_H,V_list2_H,V_val] :
      ( lhs_atom45(V_val,V_list2_H,V_list1_H,V_exp2_H,V_exp1_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I79_J_0_0,def_lhs_atom45]) ).

fof(def_lhs_atom46,axiom,
    ! [V_list2_H,V_list1_H,V_exp_H,V_exp,V_a,T_a] :
      ( lhs_atom46(V_list2_H,V_list1_H,V_exp_H,V_exp,V_a,T_a)
    <=> c_Expr_Oexp_OLAss(V_a,V_exp,T_a) != c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_45,plain,
    ! [T_a,V_a,V_exp,V_exp_H,V_list1_H,V_list2_H] :
      ( lhs_atom46(V_list2_H,V_list1_H,V_exp_H,V_exp,V_a,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I140_J_0_0,def_lhs_atom46]) ).

fof(def_lhs_atom47,axiom,
    ! [V_list2_H,V_list1_H,V_exp_H,V_exp,V_a,T_a] :
      ( lhs_atom47(V_list2_H,V_list1_H,V_exp_H,V_exp,V_a,T_a)
    <=> c_Expr_Oexp_OLAss(V_a,V_exp,T_a) != c_Expr_Oexp_OFAcc(V_exp_H,V_list1_H,V_list2_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_46,plain,
    ! [T_a,V_a,V_exp,V_exp_H,V_list1_H,V_list2_H] :
      ( lhs_atom47(V_list2_H,V_list1_H,V_exp_H,V_exp,V_a,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I136_J_0_0,def_lhs_atom47]) ).

fof(def_lhs_atom48,axiom,
    ! [V_list2_H,V_list1_H,V_exp_H,V_exp2,V_exp1,V_bop,T_a] :
      ( lhs_atom48(V_list2_H,V_list1_H,V_exp_H,V_exp2,V_exp1,V_bop,T_a)
    <=> c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a) != c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_47,plain,
    ! [T_a,V_bop,V_exp1,V_exp2,V_exp_H,V_list1_H,V_list2_H] :
      ( lhs_atom48(V_list2_H,V_list1_H,V_exp_H,V_exp2,V_exp1,V_bop,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I103_J_0_0,def_lhs_atom48]) ).

fof(def_lhs_atom49,axiom,
    ! [V_list2_H,V_list1_H,V_list,V_exp_H,V_exp,T_a] :
      ( lhs_atom49(V_list2_H,V_list1_H,V_list,V_exp_H,V_exp,T_a)
    <=> c_Expr_Oexp_OCast(V_list,V_exp,T_a) != c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_48,plain,
    ! [T_a,V_exp,V_exp_H,V_list,V_list1_H,V_list2_H] :
      ( lhs_atom49(V_list2_H,V_list1_H,V_list,V_exp_H,V_exp,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I56_J_0_0,def_lhs_atom49]) ).

fof(def_lhs_atom50,axiom,
    ! [V_list2_H,V_list1_H,V_list,V_exp_H,V_exp,T_a] :
      ( lhs_atom50(V_list2_H,V_list1_H,V_list,V_exp_H,V_exp,T_a)
    <=> c_Expr_Oexp_OCast(V_list,V_exp,T_a) != c_Expr_Oexp_OFAcc(V_exp_H,V_list1_H,V_list2_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_49,plain,
    ! [T_a,V_exp,V_exp_H,V_list,V_list1_H,V_list2_H] :
      ( lhs_atom50(V_list2_H,V_list1_H,V_list,V_exp_H,V_exp,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I52_J_0_0,def_lhs_atom50]) ).

fof(def_lhs_atom51,axiom,
    ! [V_A,T_a] :
      ( lhs_atom51(V_A,T_a)
    <=> c_Relation_ODomain(c_Relation_OId__on(V_A,T_a),T_a,T_a) = V_A ),
    inference(definition,[],]) ).

fof(to_be_clausified_50,plain,
    ! [T_a,V_A] :
      ( lhs_atom51(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Domain__Id__on_0_0,def_lhs_atom51]) ).

fof(def_lhs_atom52,axiom,
    ! [V_val,V_exp3_H,V_exp2_H,V_exp1_H,T_a] :
      ( lhs_atom52(V_val,V_exp3_H,V_exp2_H,V_exp1_H,T_a)
    <=> c_Expr_Oexp_OVal(V_val,T_a) != c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_51,plain,
    ! [T_a,V_exp1_H,V_exp2_H,V_exp3_H,V_val] :
      ( lhs_atom52(V_val,V_exp3_H,V_exp2_H,V_exp1_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I86_J_0_0,def_lhs_atom52]) ).

fof(def_lhs_atom53,axiom,
    ! [V_list_H,V_exp2_H,V_exp1_H,V_exp,V_a_H,T_a] :
      ( lhs_atom53(V_list_H,V_exp2_H,V_exp1_H,V_exp,V_a_H,T_a)
    <=> c_Expr_Oexp_Othrow(V_exp,T_a) != c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_52,plain,
    ! [T_a,V_a_H,V_exp,V_exp1_H,V_exp2_H,V_list_H] :
      ( lhs_atom53(V_list_H,V_exp2_H,V_exp1_H,V_exp,V_a_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I224_J_0_0,def_lhs_atom53]) ).

fof(def_lhs_atom54,axiom,
    ! [V_val,V_list2_H,V_list1_H,V_exp_H,T_a] :
      ( lhs_atom54(V_val,V_list2_H,V_list1_H,V_exp_H,T_a)
    <=> c_Expr_Oexp_OFAcc(V_exp_H,V_list1_H,V_list2_H,T_a) != c_Expr_Oexp_OVal(V_val,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_53,plain,
    ! [T_a,V_exp_H,V_list1_H,V_list2_H,V_val] :
      ( lhs_atom54(V_val,V_list2_H,V_list1_H,V_exp_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I77_J_0_0,def_lhs_atom54]) ).

fof(def_lhs_atom55,axiom,
    ! [V_list_H,V_exp3,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_a_H,T_a] :
      ( lhs_atom55(V_list_H,V_exp3,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_a_H,T_a)
    <=> c_Expr_Oexp_OCond(V_exp1,V_exp2,V_exp3,T_a) != c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_54,plain,
    ! [T_a,V_a_H,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_exp3,V_list_H] :
      ( lhs_atom55(V_list_H,V_exp3,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_a_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I218_J_0_0,def_lhs_atom55]) ).

fof(def_lhs_atom56,axiom,
    ! [V_list2,V_list1,V_exp_H,V_exp2,V_exp1,T_a] :
      ( lhs_atom56(V_list2,V_list1,V_exp_H,V_exp2,V_exp1,T_a)
    <=> c_Expr_Oexp_Othrow(V_exp_H,T_a) != c_Expr_Oexp_OFAss(V_exp1,V_list1,V_list2,V_exp2,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_55,plain,
    ! [T_a,V_exp1,V_exp2,V_exp_H,V_list1,V_list2] :
      ( lhs_atom56(V_list2,V_list1,V_exp_H,V_exp2,V_exp1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I181_J_0_0,def_lhs_atom56]) ).

fof(def_lhs_atom57,axiom,
    ! [V_list,V_exp_H,V_exp,T_a] :
      ( lhs_atom57(V_list,V_exp_H,V_exp,T_a)
    <=> c_Expr_Oexp_Othrow(V_exp_H,T_a) != c_Expr_Oexp_OCast(V_list,V_exp,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_56,plain,
    ! [T_a,V_exp,V_exp_H,V_list] :
      ( lhs_atom57(V_list,V_exp_H,V_exp,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I67_J_0_0,def_lhs_atom57]) ).

fof(def_lhs_atom58,axiom,
    ! [V_val,V_exp_H,V_a_H,T_a] :
      ( lhs_atom58(V_val,V_exp_H,V_a_H,T_a)
    <=> c_Expr_Oexp_OLAss(V_a_H,V_exp_H,T_a) != c_Expr_Oexp_OVal(V_val,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_57,plain,
    ! [T_a,V_a_H,V_exp_H,V_val] :
      ( lhs_atom58(V_val,V_exp_H,V_a_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I75_J_0_0,def_lhs_atom58]) ).

fof(def_lhs_atom59,axiom,
    ! [V_list2,V_list1,V_exp_H,V_exp,T_a] :
      ( lhs_atom59(V_list2,V_list1,V_exp_H,V_exp,T_a)
    <=> c_Expr_Oexp_Othrow(V_exp_H,T_a) != c_Expr_Oexp_OCall(V_exp,V_list1,V_list2,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_58,plain,
    ! [T_a,V_exp,V_exp_H,V_list1,V_list2] :
      ( lhs_atom59(V_list2,V_list1,V_exp_H,V_exp,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I193_J_0_0,def_lhs_atom59]) ).

fof(def_lhs_atom60,axiom,
    ! [V_list2,V_list1,V_exp_H,V_exp,T_a] :
      ( lhs_atom60(V_list2,V_list1,V_exp_H,V_exp,T_a)
    <=> c_Expr_Oexp_Othrow(V_exp_H,T_a) != c_Expr_Oexp_OFAcc(V_exp,V_list1,V_list2,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_59,plain,
    ! [T_a,V_exp,V_exp_H,V_list1,V_list2] :
      ( lhs_atom60(V_list2,V_list1,V_exp_H,V_exp,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I167_J_0_0,def_lhs_atom60]) ).

fof(def_lhs_atom61,axiom,
    ! [V_list2,V_list1,V_exp3_H,V_exp2_H,V_exp1_H,V_exp,T_a] :
      ( lhs_atom61(V_list2,V_list1,V_exp3_H,V_exp2_H,V_exp1_H,V_exp,T_a)
    <=> c_Expr_Oexp_OFAcc(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_60,plain,
    ! [T_a,V_exp,V_exp1_H,V_exp2_H,V_exp3_H,V_list1,V_list2] :
      ( lhs_atom61(V_list2,V_list1,V_exp3_H,V_exp2_H,V_exp1_H,V_exp,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I162_J_0_0,def_lhs_atom61]) ).

fof(def_lhs_atom62,axiom,
    ! [V_s,V_e_092_060_094isub_0622,V_e,V_bop,V_P] :
      ( lhs_atom62(V_s,V_e_092_060_094isub_0622,V_e,V_bop,V_P)
    <=> c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_bop,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(V_P),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(definition,[],]) ).

fof(to_be_clausified_61,plain,
    ! [V_P,V_bop,V_e,V_e_092_060_094isub_0622,V_s] :
      ( lhs_atom62(V_s,V_e_092_060_094isub_0622,V_e,V_bop,V_P)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_red__reds_OBinOpThrow1_0_0,def_lhs_atom62]) ).

fof(def_lhs_atom63,axiom,
    ! [V_val,V_list2_H,V_list1_H,V_exp_H,T_a] :
      ( lhs_atom63(V_val,V_list2_H,V_list1_H,V_exp_H,T_a)
    <=> c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a) != c_Expr_Oexp_OVal(V_val,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_62,plain,
    ! [T_a,V_exp_H,V_list1_H,V_list2_H,V_val] :
      ( lhs_atom63(V_val,V_list2_H,V_list1_H,V_exp_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I81_J_0_0,def_lhs_atom63]) ).

fof(def_lhs_atom64,axiom,
    ! [V_exp_H,V_exp2,V_exp1,V_bop,T_a] :
      ( lhs_atom64(V_exp_H,V_exp2,V_exp1,V_bop,T_a)
    <=> c_Expr_Oexp_Othrow(V_exp_H,T_a) != c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_63,plain,
    ! [T_a,V_bop,V_exp1,V_exp2,V_exp_H] :
      ( lhs_atom64(V_exp_H,V_exp2,V_exp1,V_bop,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I113_J_0_0,def_lhs_atom64]) ).

fof(def_lhs_atom65,axiom,
    ! [V_list2,V_list1,V_exp3_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,T_a] :
      ( lhs_atom65(V_list2,V_list1,V_exp3_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,T_a)
    <=> c_Expr_Oexp_OFAss(V_exp1,V_list1,V_list2,V_exp2,T_a) != c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_64,plain,
    ! [T_a,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_exp3_H,V_list1,V_list2] :
      ( lhs_atom65(V_list2,V_list1,V_exp3_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I176_J_0_0,def_lhs_atom65]) ).

fof(def_lhs_atom66,axiom,
    ! [V_list2_H,V_list2,V_list1_H,V_list1,V_exp_H,V_exp2,V_exp1,T_a] :
      ( lhs_atom66(V_list2_H,V_list2,V_list1_H,V_list1,V_exp_H,V_exp2,V_exp1,T_a)
    <=> c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a) != c_Expr_Oexp_OFAss(V_exp1,V_list1,V_list2,V_exp2,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_65,plain,
    ! [T_a,V_exp1,V_exp2,V_exp_H,V_list1,V_list1_H,V_list2,V_list2_H] :
      ( lhs_atom66(V_list2_H,V_list2,V_list1_H,V_list1,V_exp_H,V_exp2,V_exp1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I171_J_0_0,def_lhs_atom66]) ).

fof(def_lhs_atom67,axiom,
    ! [V_list2,V_list1,V_exp_H,V_exp2,V_exp1,T_a] :
      ( lhs_atom67(V_list2,V_list1,V_exp_H,V_exp2,V_exp1,T_a)
    <=> c_Expr_Oexp_OFAss(V_exp1,V_list1,V_list2,V_exp2,T_a) != c_Expr_Oexp_Othrow(V_exp_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_66,plain,
    ! [T_a,V_exp1,V_exp2,V_exp_H,V_list1,V_list2] :
      ( lhs_atom67(V_list2,V_list1,V_exp_H,V_exp2,V_exp1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I180_J_0_0,def_lhs_atom67]) ).

fof(def_lhs_atom68,axiom,
    ! [V_list_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_bop,V_a_H,T_a] :
      ( lhs_atom68(V_list_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_bop,V_a_H,T_a)
    <=> c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a) != c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_67,plain,
    ! [T_a,V_a_H,V_bop,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_list_H] :
      ( lhs_atom68(V_list_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_bop,V_a_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I114_J_0_0,def_lhs_atom68]) ).

fof(def_lhs_atom69,axiom,
    ! [V_exp_H,V_exp2,V_exp1,V_bop,V_a_H,T_a] :
      ( lhs_atom69(V_exp_H,V_exp2,V_exp1,V_bop,V_a_H,T_a)
    <=> c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a) != c_Expr_Oexp_OLAss(V_a_H,V_exp_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_68,plain,
    ! [T_a,V_a_H,V_bop,V_exp1,V_exp2,V_exp_H] :
      ( lhs_atom69(V_exp_H,V_exp2,V_exp1,V_bop,V_a_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I96_J_0_0,def_lhs_atom69]) ).

fof(def_lhs_atom70,axiom,
    ! [V_val,V_exp2_H,V_exp1_H,T_a] :
      ( lhs_atom70(V_val,V_exp2_H,V_exp1_H,T_a)
    <=> c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a) != c_Expr_Oexp_OVal(V_val,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_69,plain,
    ! [T_a,V_exp1_H,V_exp2_H,V_val] :
      ( lhs_atom70(V_val,V_exp2_H,V_exp1_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I85_J_0_0,def_lhs_atom70]) ).

fof(def_lhs_atom71,axiom,
    ! [V_list2_H,V_list1_H,V_list,V_exp_H,V_exp,T_a] :
      ( lhs_atom71(V_list2_H,V_list1_H,V_list,V_exp_H,V_exp,T_a)
    <=> c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a) != c_Expr_Oexp_OCast(V_list,V_exp,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_70,plain,
    ! [T_a,V_exp,V_exp_H,V_list,V_list1_H,V_list2_H] :
      ( lhs_atom71(V_list2_H,V_list1_H,V_list,V_exp_H,V_exp,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I57_J_0_0,def_lhs_atom71]) ).

fof(def_lhs_atom72,axiom,
    ! [V_v,V_s,V_e_092_060_094isub_0622,V_V,V_P,V_C] :
      ( lhs_atom72(V_v,V_s,V_e_092_060_094isub_0622,V_V,V_P,V_C)
    <=> c_in(c_Pair(c_Pair(c_Expr_Oexp_OTryCatch(c_Expr_Oexp_OVal(V_v,tc_List_Olist(tc_String_Ochar)),V_C,V_V,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(V_v,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(V_P),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(definition,[],]) ).

fof(to_be_clausified_71,plain,
    ! [V_C,V_P,V_V,V_e_092_060_094isub_0622,V_s,V_v] :
      ( lhs_atom72(V_v,V_s,V_e_092_060_094isub_0622,V_V,V_P,V_C)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_red__reds_ORedTry_0_0,def_lhs_atom72]) ).

fof(def_lhs_atom73,axiom,
    ! [V_val,V_exp_H,T_a] :
      ( lhs_atom73(V_val,V_exp_H,T_a)
    <=> c_Expr_Oexp_Othrow(V_exp_H,T_a) != c_Expr_Oexp_OVal(V_val,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_72,plain,
    ! [T_a,V_exp_H,V_val] :
      ( lhs_atom73(V_val,V_exp_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I91_J_0_0,def_lhs_atom73]) ).

fof(def_lhs_atom74,axiom,
    ! [V_list2_H,V_list1_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_bop,T_a] :
      ( lhs_atom74(V_list2_H,V_list1_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_bop,T_a)
    <=> c_Expr_Oexp_OFAss(V_exp1_H,V_list1_H,V_list2_H,V_exp2_H,T_a) != c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_73,plain,
    ! [T_a,V_bop,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_list1_H,V_list2_H] :
      ( lhs_atom74(V_list2_H,V_list1_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_bop,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I101_J_0_0,def_lhs_atom74]) ).

fof(def_lhs_atom75,axiom,
    ! [V_list_H,V_exp2_H,V_exp1_H,V_exp,V_a_H,V_a,T_a] :
      ( lhs_atom75(V_list_H,V_exp2_H,V_exp1_H,V_exp,V_a_H,V_a,T_a)
    <=> c_Expr_Oexp_OLAss(V_a,V_exp,T_a) != c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_74,plain,
    ! [T_a,V_a,V_a_H,V_exp,V_exp1_H,V_exp2_H,V_list_H] :
      ( lhs_atom75(V_list_H,V_exp2_H,V_exp1_H,V_exp,V_a_H,V_a,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I152_J_0_0,def_lhs_atom75]) ).

fof(def_lhs_atom76,axiom,
    ! [V_list2_H,V_list2,V_list1_H,V_list1,V_exp_H,V_exp,T_a] :
      ( lhs_atom76(V_list2_H,V_list2,V_list1_H,V_list1,V_exp_H,V_exp,T_a)
    <=> c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a) != c_Expr_Oexp_OFAcc(V_exp,V_list1,V_list2,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_75,plain,
    ! [T_a,V_exp,V_exp_H,V_list1,V_list1_H,V_list2,V_list2_H] :
      ( lhs_atom76(V_list2_H,V_list2,V_list1_H,V_list1,V_exp_H,V_exp,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I157_J_0_0,def_lhs_atom76]) ).

fof(def_lhs_atom77,axiom,
    ! [V_list2,V_list1,V_exp_H,V_exp,T_a] :
      ( lhs_atom77(V_list2,V_list1,V_exp_H,V_exp,T_a)
    <=> c_Expr_Oexp_OFAcc(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_Othrow(V_exp_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_76,plain,
    ! [T_a,V_exp,V_exp_H,V_list1,V_list2] :
      ( lhs_atom77(V_list2,V_list1,V_exp_H,V_exp,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I166_J_0_0,def_lhs_atom77]) ).

fof(def_lhs_atom78,axiom,
    ! [V_g,V_f,T_b,T_a] :
      ( lhs_atom78(V_g,V_f,T_b,T_a)
    <=> c_Map_Omap__le(V_f,c_Map_Omap__add(V_g,V_f,T_a,T_b),T_a,T_b) ),
    inference(definition,[],]) ).

fof(to_be_clausified_77,plain,
    ! [T_a,T_b,V_f,V_g] :
      ( lhs_atom78(V_g,V_f,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_map__le__map__add_0_0,def_lhs_atom78]) ).

fof(def_lhs_atom79,axiom,
    ! [V_s,V_e_092_060_094isub_0622,V_e_092_060_094isub_0621,V_e,V_P] :
      ( lhs_atom79(V_s,V_e_092_060_094isub_0622,V_e_092_060_094isub_0621,V_e,V_P)
    <=> c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(V_P),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(definition,[],]) ).

fof(to_be_clausified_78,plain,
    ! [V_P,V_e,V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,V_s] :
      ( lhs_atom79(V_s,V_e_092_060_094isub_0622,V_e_092_060_094isub_0621,V_e,V_P)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_red__reds_OCondThrow_0_0,def_lhs_atom79]) ).

fof(def_lhs_atom80,axiom,
    ! [V_list,V_exp2_H,V_exp1_H,V_exp,T_a] :
      ( lhs_atom80(V_list,V_exp2_H,V_exp1_H,V_exp,T_a)
    <=> c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a) != c_Expr_Oexp_OCast(V_list,V_exp,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_79,plain,
    ! [T_a,V_exp,V_exp1_H,V_exp2_H,V_list] :
      ( lhs_atom80(V_list,V_exp2_H,V_exp1_H,V_exp,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I61_J_0_0,def_lhs_atom80]) ).

fof(def_lhs_atom81,axiom,
    ! [V_list2_H,V_list1_H,V_exp_H,V_exp,V_a,T_a] :
      ( lhs_atom81(V_list2_H,V_list1_H,V_exp_H,V_exp,V_a,T_a)
    <=> c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a) != c_Expr_Oexp_OLAss(V_a,V_exp,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_80,plain,
    ! [T_a,V_a,V_exp,V_exp_H,V_list1_H,V_list2_H] :
      ( lhs_atom81(V_list2_H,V_list1_H,V_exp_H,V_exp,V_a,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I141_J_0_0,def_lhs_atom81]) ).

fof(def_lhs_atom82,axiom,
    ! [V_list_H,V_exp2_H,V_exp1_H,V_exp,V_a_H,T_a] :
      ( lhs_atom82(V_list_H,V_exp2_H,V_exp1_H,V_exp,V_a_H,T_a)
    <=> c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a) != c_Expr_Oexp_Othrow(V_exp,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_81,plain,
    ! [T_a,V_a_H,V_exp,V_exp1_H,V_exp2_H,V_list_H] :
      ( lhs_atom82(V_list_H,V_exp2_H,V_exp1_H,V_exp,V_a_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I225_J_0_0,def_lhs_atom82]) ).

fof(def_lhs_atom83,axiom,
    ! [V_v,V_s,V_P] :
      ( lhs_atom83(V_v,V_s,V_P)
    <=> c_BigStep_Oeval(V_P,c_Expr_Oexp_OVal(V_v,tc_List_Olist(tc_String_Ochar)),V_s,c_Expr_Oexp_OVal(V_v,tc_List_Olist(tc_String_Ochar)),V_s) ),
    inference(definition,[],]) ).

fof(to_be_clausified_82,plain,
    ! [V_P,V_s,V_v] :
      ( lhs_atom83(V_v,V_s,V_P)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Val_0_0,def_lhs_atom83]) ).

fof(def_lhs_atom84,axiom,
    ! [V_list_H,V_list,V_exp2_H,V_exp1_H,V_exp,V_a_H,T_a] :
      ( lhs_atom84(V_list_H,V_list,V_exp2_H,V_exp1_H,V_exp,V_a_H,T_a)
    <=> c_Expr_Oexp_OCast(V_list,V_exp,T_a) != c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_83,plain,
    ! [T_a,V_a_H,V_exp,V_exp1_H,V_exp2_H,V_list,V_list_H] :
      ( lhs_atom84(V_list_H,V_list,V_exp2_H,V_exp1_H,V_exp,V_a_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I68_J_0_0,def_lhs_atom84]) ).

fof(def_lhs_atom85,axiom,
    ! [V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_bop,T_a] :
      ( lhs_atom85(V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_bop,T_a)
    <=> c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a) != c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_84,plain,
    ! [T_a,V_bop,V_exp1,V_exp1_H,V_exp2,V_exp2_H] :
      ( lhs_atom85(V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_bop,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I106_J_0_0,def_lhs_atom85]) ).

fof(def_lhs_atom86,axiom,
    ! [V_list2_H,V_list2,V_list1_H,V_list1,V_exp_H,V_exp2,V_exp1,T_a] :
      ( lhs_atom86(V_list2_H,V_list2,V_list1_H,V_list1,V_exp_H,V_exp2,V_exp1,T_a)
    <=> c_Expr_Oexp_OFAss(V_exp1,V_list1,V_list2,V_exp2,T_a) != c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_85,plain,
    ! [T_a,V_exp1,V_exp2,V_exp_H,V_list1,V_list1_H,V_list2,V_list2_H] :
      ( lhs_atom86(V_list2_H,V_list2,V_list1_H,V_list1,V_exp_H,V_exp2,V_exp1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I170_J_0_0,def_lhs_atom86]) ).

fof(def_lhs_atom87,axiom,
    ! [V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_bop,T_a] :
      ( lhs_atom87(V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_bop,T_a)
    <=> c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a) != c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_86,plain,
    ! [T_a,V_bop,V_exp1,V_exp1_H,V_exp2,V_exp2_H] :
      ( lhs_atom87(V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_bop,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I107_J_0_0,def_lhs_atom87]) ).

fof(def_lhs_atom88,axiom,
    ! [V_val,V_list_H,V_exp2_H,V_exp1_H,V_a_H,T_a] :
      ( lhs_atom88(V_val,V_list_H,V_exp2_H,V_exp1_H,V_a_H,T_a)
    <=> c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a) != c_Expr_Oexp_OVal(V_val,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_87,plain,
    ! [T_a,V_a_H,V_exp1_H,V_exp2_H,V_list_H,V_val] :
      ( lhs_atom88(V_val,V_list_H,V_exp2_H,V_exp1_H,V_a_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I93_J_0_0,def_lhs_atom88]) ).

fof(def_lhs_atom89,axiom,
    ! [V_list,V_exp3_H,V_exp2_H,V_exp1_H,V_exp,T_a] :
      ( lhs_atom89(V_list,V_exp3_H,V_exp2_H,V_exp1_H,V_exp,T_a)
    <=> c_Expr_Oexp_OCast(V_list,V_exp,T_a) != c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_88,plain,
    ! [T_a,V_exp,V_exp1_H,V_exp2_H,V_exp3_H,V_list] :
      ( lhs_atom89(V_list,V_exp3_H,V_exp2_H,V_exp1_H,V_exp,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I62_J_0_0,def_lhs_atom89]) ).

fof(def_lhs_atom90,axiom,
    ! [V_exp3_H,V_exp2_H,V_exp1_H,V_exp,V_a,T_a] :
      ( lhs_atom90(V_exp3_H,V_exp2_H,V_exp1_H,V_exp,V_a,T_a)
    <=> c_Expr_Oexp_OLAss(V_a,V_exp,T_a) != c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_89,plain,
    ! [T_a,V_a,V_exp,V_exp1_H,V_exp2_H,V_exp3_H] :
      ( lhs_atom90(V_exp3_H,V_exp2_H,V_exp1_H,V_exp,V_a,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I146_J_0_0,def_lhs_atom90]) ).

fof(def_lhs_atom91,axiom,
    ! [V_list2_H,V_list1_H,V_list,V_exp2_H,V_exp1_H,V_exp,T_a] :
      ( lhs_atom91(V_list2_H,V_list1_H,V_list,V_exp2_H,V_exp1_H,V_exp,T_a)
    <=> c_Expr_Oexp_OFAss(V_exp1_H,V_list1_H,V_list2_H,V_exp2_H,T_a) != c_Expr_Oexp_OCast(V_list,V_exp,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_90,plain,
    ! [T_a,V_exp,V_exp1_H,V_exp2_H,V_list,V_list1_H,V_list2_H] :
      ( lhs_atom91(V_list2_H,V_list1_H,V_list,V_exp2_H,V_exp1_H,V_exp,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I55_J_0_0,def_lhs_atom91]) ).

fof(def_lhs_atom92,axiom,
    ! [V_list_H,V_exp3,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_a_H,T_a] :
      ( lhs_atom92(V_list_H,V_exp3,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_a_H,T_a)
    <=> c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a) != c_Expr_Oexp_OCond(V_exp1,V_exp2,V_exp3,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_91,plain,
    ! [T_a,V_a_H,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_exp3,V_list_H] :
      ( lhs_atom92(V_list_H,V_exp3,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_a_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I219_J_0_0,def_lhs_atom92]) ).

fof(def_lhs_atom93,axiom,
    ! [V_exp_H,V_exp2,V_exp1,T_a] :
      ( lhs_atom93(V_exp_H,V_exp2,V_exp1,T_a)
    <=> c_Expr_Oexp_OSeq(V_exp1,V_exp2,T_a) != c_Expr_Oexp_Othrow(V_exp_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_92,plain,
    ! [T_a,V_exp1,V_exp2,V_exp_H] :
      ( lhs_atom93(V_exp_H,V_exp2,V_exp1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I210_J_0_0,def_lhs_atom93]) ).

fof(def_lhs_atom94,axiom,
    ! [V_exp_H,V_exp2,V_exp1,V_bop,T_a] :
      ( lhs_atom94(V_exp_H,V_exp2,V_exp1,V_bop,T_a)
    <=> c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a) != c_Expr_Oexp_Othrow(V_exp_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_93,plain,
    ! [T_a,V_bop,V_exp1,V_exp2,V_exp_H] :
      ( lhs_atom94(V_exp_H,V_exp2,V_exp1,V_bop,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I112_J_0_0,def_lhs_atom94]) ).

fof(def_lhs_atom95,axiom,
    ! [V_x,V_R,T_a] :
      ( lhs_atom95(V_x,V_R,T_a)
    <=> c_in(c_Pair(V_x,V_x,T_a,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),tc_prod(T_a,T_a)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_94,plain,
    ! [T_a,V_R,V_x] :
      ( lhs_atom95(V_x,V_R,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_rtrancl__eq__or__trancl_1_0,def_lhs_atom95]) ).

fof(def_lhs_atom96,axiom,
    ! [V_r,V_a,T_a] :
      ( lhs_atom96(V_r,V_a,T_a)
    <=> c_in(c_Pair(V_a,V_a,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_95,plain,
    ! [T_a,V_a,V_r] :
      ( lhs_atom96(V_r,V_a,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_rtrancl_Ortrancl__refl_0_0,def_lhs_atom96]) ).

fof(def_lhs_atom97,axiom,
    ! [V_list2_H,V_list2,V_list1_H,V_list1,V_exp_H,V_exp,T_a] :
      ( lhs_atom97(V_list2_H,V_list2,V_list1_H,V_list1,V_exp_H,V_exp,T_a)
    <=> c_Expr_Oexp_OFAcc(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_96,plain,
    ! [T_a,V_exp,V_exp_H,V_list1,V_list1_H,V_list2,V_list2_H] :
      ( lhs_atom97(V_list2_H,V_list2,V_list1_H,V_list1,V_exp_H,V_exp,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I156_J_0_0,def_lhs_atom97]) ).

fof(def_lhs_atom98,axiom,
    ! [V_list2_H,V_list1_H,V_list,V_exp_H,V_exp,T_a] :
      ( lhs_atom98(V_list2_H,V_list1_H,V_list,V_exp_H,V_exp,T_a)
    <=> c_Expr_Oexp_OFAcc(V_exp_H,V_list1_H,V_list2_H,T_a) != c_Expr_Oexp_OCast(V_list,V_exp,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_97,plain,
    ! [T_a,V_exp,V_exp_H,V_list,V_list1_H,V_list2_H] :
      ( lhs_atom98(V_list2_H,V_list1_H,V_list,V_exp_H,V_exp,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I53_J_0_0,def_lhs_atom98]) ).

fof(def_lhs_atom99,axiom,
    ! [V_val,V_exp2_H,V_exp1_H,V_bop_H,T_a] :
      ( lhs_atom99(V_val,V_exp2_H,V_exp1_H,V_bop_H,T_a)
    <=> c_Expr_Oexp_OVal(V_val,T_a) != c_Expr_Oexp_OBinOp(V_exp1_H,V_bop_H,V_exp2_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_98,plain,
    ! [T_a,V_bop_H,V_exp1_H,V_exp2_H,V_val] :
      ( lhs_atom99(V_val,V_exp2_H,V_exp1_H,V_bop_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I70_J_0_0,def_lhs_atom99]) ).

fof(def_lhs_atom100,axiom,
    ! [V_exp_H,V_exp,V_a,T_a] :
      ( lhs_atom100(V_exp_H,V_exp,V_a,T_a)
    <=> c_Expr_Oexp_Othrow(V_exp_H,T_a) != c_Expr_Oexp_OLAss(V_a,V_exp,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_99,plain,
    ! [T_a,V_a,V_exp,V_exp_H] :
      ( lhs_atom100(V_exp_H,V_exp,V_a,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I151_J_0_0,def_lhs_atom100]) ).

fof(def_lhs_atom101,axiom,
    ! [V_s,V_es,V_e,V_P,V_M] :
      ( lhs_atom101(V_s,V_es,V_e,V_P,V_M)
    <=> c_in(c_Pair(c_Pair(c_Expr_Oexp_OCall(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_M,V_es,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(V_P),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(definition,[],]) ).

fof(to_be_clausified_100,plain,
    ! [V_M,V_P,V_e,V_es,V_s] :
      ( lhs_atom101(V_s,V_es,V_e,V_P,V_M)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_red__reds_OCallThrowObj_0_0,def_lhs_atom101]) ).

fof(def_lhs_atom102,axiom,
    ! [V_exp3_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_bop,T_a] :
      ( lhs_atom102(V_exp3_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_bop,T_a)
    <=> c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a) != c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_101,plain,
    ! [T_a,V_bop,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_exp3_H] :
      ( lhs_atom102(V_exp3_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_bop,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I108_J_0_0,def_lhs_atom102]) ).

fof(def_lhs_atom103,axiom,
    ! [V_val,V_exp_H,T_a] :
      ( lhs_atom103(V_val,V_exp_H,T_a)
    <=> c_Expr_Oexp_OVal(V_val,T_a) != c_Expr_Oexp_Othrow(V_exp_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_102,plain,
    ! [T_a,V_exp_H,V_val] :
      ( lhs_atom103(V_val,V_exp_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I90_J_0_0,def_lhs_atom103]) ).

fof(def_lhs_atom104,axiom,
    ! [V_v_092_060_094isub_0621,V_s,V_e,V_bop,V_P] :
      ( lhs_atom104(V_v_092_060_094isub_0621,V_s,V_e,V_bop,V_P)
    <=> c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(V_v_092_060_094isub_0621,tc_List_Olist(tc_String_Ochar)),V_bop,c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(V_P),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(definition,[],]) ).

fof(to_be_clausified_103,plain,
    ! [V_P,V_bop,V_e,V_s,V_v_092_060_094isub_0621] :
      ( lhs_atom104(V_v_092_060_094isub_0621,V_s,V_e,V_bop,V_P)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_red__reds_OBinOpThrow2_0_0,def_lhs_atom104]) ).

fof(def_lhs_atom105,axiom,
    ! [V_x,T_a] :
      ( lhs_atom105(V_x,T_a)
    <=> c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_104,plain,
    ! [T_a,V_x] :
      ( lhs_atom105(V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_equalityE_0_0,def_lhs_atom105]) ).

fof(def_lhs_atom106,axiom,
    ! [V_A,T_a] :
      ( lhs_atom106(V_A,T_a)
    <=> c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_105,plain,
    ! [T_a,V_A] :
      ( lhs_atom106(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_subset__refl_0_0,def_lhs_atom106]) ).

fof(def_lhs_atom107,axiom,
    ! [V_val,V_list2_H,V_list1_H,V_exp_H,T_a] :
      ( lhs_atom107(V_val,V_list2_H,V_list1_H,V_exp_H,T_a)
    <=> c_Expr_Oexp_OVal(V_val,T_a) != c_Expr_Oexp_OFAcc(V_exp_H,V_list1_H,V_list2_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_106,plain,
    ! [T_a,V_exp_H,V_list1_H,V_list2_H,V_val] :
      ( lhs_atom107(V_val,V_list2_H,V_list1_H,V_exp_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I76_J_0_0,def_lhs_atom107]) ).

fof(def_lhs_atom108,axiom,
    ! [V_val,V_list2_H,V_list1_H,V_exp_H,T_a] :
      ( lhs_atom108(V_val,V_list2_H,V_list1_H,V_exp_H,T_a)
    <=> c_Expr_Oexp_OVal(V_val,T_a) != c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_107,plain,
    ! [T_a,V_exp_H,V_list1_H,V_list2_H,V_val] :
      ( lhs_atom108(V_val,V_list2_H,V_list1_H,V_exp_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I80_J_0_0,def_lhs_atom108]) ).

fof(def_lhs_atom109,axiom,
    ! [V_list_H,V_list2,V_list1,V_exp2_H,V_exp1_H,V_exp,V_a_H,T_a] :
      ( lhs_atom109(V_list_H,V_list2,V_list1,V_exp2_H,V_exp1_H,V_exp,V_a_H,T_a)
    <=> c_Expr_Oexp_OCall(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_108,plain,
    ! [T_a,V_a_H,V_exp,V_exp1_H,V_exp2_H,V_list1,V_list2,V_list_H] :
      ( lhs_atom109(V_list_H,V_list2,V_list1,V_exp2_H,V_exp1_H,V_exp,V_a_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I194_J_0_0,def_lhs_atom109]) ).

fof(def_lhs_atom110,axiom,
    ! [V_list,V_exp2_H,V_exp1_H,V_exp,T_a] :
      ( lhs_atom110(V_list,V_exp2_H,V_exp1_H,V_exp,T_a)
    <=> c_Expr_Oexp_OCast(V_list,V_exp,T_a) != c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_109,plain,
    ! [T_a,V_exp,V_exp1_H,V_exp2_H,V_list] :
      ( lhs_atom110(V_list,V_exp2_H,V_exp1_H,V_exp,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I60_J_0_0,def_lhs_atom110]) ).

fof(def_lhs_atom111,axiom,
    ! [V_val_H,V_list,V_exp,T_a] :
      ( lhs_atom111(V_val_H,V_list,V_exp,T_a)
    <=> c_Expr_Oexp_OVal(V_val_H,T_a) != c_Expr_Oexp_OCast(V_list,V_exp,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_110,plain,
    ! [T_a,V_exp,V_list,V_val_H] :
      ( lhs_atom111(V_val_H,V_list,V_exp,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I45_J_0_0,def_lhs_atom111]) ).

fof(def_lhs_atom112,axiom,
    ! [V_val,V_list_H,V_exp2_H,V_exp1_H,V_a_H,T_a] :
      ( lhs_atom112(V_val,V_list_H,V_exp2_H,V_exp1_H,V_a_H,T_a)
    <=> c_Expr_Oexp_OVal(V_val,T_a) != c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_111,plain,
    ! [T_a,V_a_H,V_exp1_H,V_exp2_H,V_list_H,V_val] :
      ( lhs_atom112(V_val,V_list_H,V_exp2_H,V_exp1_H,V_a_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I92_J_0_0,def_lhs_atom112]) ).

fof(def_lhs_atom113,axiom,
    ! [V_list,V_exp_H,V_exp,V_a_H,T_a] :
      ( lhs_atom113(V_list,V_exp_H,V_exp,V_a_H,T_a)
    <=> c_Expr_Oexp_OCast(V_list,V_exp,T_a) != c_Expr_Oexp_OLAss(V_a_H,V_exp_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_112,plain,
    ! [T_a,V_a_H,V_exp,V_exp_H,V_list] :
      ( lhs_atom113(V_list,V_exp_H,V_exp,V_a_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I50_J_0_0,def_lhs_atom113]) ).

fof(def_lhs_atom114,axiom,
    ! [V_val,V_list2_H,V_list1_H,V_exp2_H,V_exp1_H,T_a] :
      ( lhs_atom114(V_val,V_list2_H,V_list1_H,V_exp2_H,V_exp1_H,T_a)
    <=> c_Expr_Oexp_OVal(V_val,T_a) != c_Expr_Oexp_OFAss(V_exp1_H,V_list1_H,V_list2_H,V_exp2_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_113,plain,
    ! [T_a,V_exp1_H,V_exp2_H,V_list1_H,V_list2_H,V_val] :
      ( lhs_atom114(V_val,V_list2_H,V_list1_H,V_exp2_H,V_exp1_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I78_J_0_0,def_lhs_atom114]) ).

fof(def_lhs_atom115,axiom,
    ! [V_exp3_H,V_exp2_H,V_exp1_H,V_exp,V_a,T_a] :
      ( lhs_atom115(V_exp3_H,V_exp2_H,V_exp1_H,V_exp,V_a,T_a)
    <=> c_Expr_Oexp_OCond(V_exp1_H,V_exp2_H,V_exp3_H,T_a) != c_Expr_Oexp_OLAss(V_a,V_exp,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_114,plain,
    ! [T_a,V_a,V_exp,V_exp1_H,V_exp2_H,V_exp3_H] :
      ( lhs_atom115(V_exp3_H,V_exp2_H,V_exp1_H,V_exp,V_a,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I147_J_0_0,def_lhs_atom115]) ).

fof(def_lhs_atom116,axiom,
    ! [V_list_H,V_exp2_H,V_exp1_H,V_exp,V_a_H,V_a,T_a] :
      ( lhs_atom116(V_list_H,V_exp2_H,V_exp1_H,V_exp,V_a_H,V_a,T_a)
    <=> c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a) != c_Expr_Oexp_OLAss(V_a,V_exp,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_115,plain,
    ! [T_a,V_a,V_a_H,V_exp,V_exp1_H,V_exp2_H,V_list_H] :
      ( lhs_atom116(V_list_H,V_exp2_H,V_exp1_H,V_exp,V_a_H,V_a,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I153_J_0_0,def_lhs_atom116]) ).

fof(def_lhs_atom117,axiom,
    ! [V_list2_H,V_list1_H,V_exp_H,V_exp2,V_exp1,V_bop,T_a] :
      ( lhs_atom117(V_list2_H,V_list1_H,V_exp_H,V_exp2,V_exp1,V_bop,T_a)
    <=> c_Expr_Oexp_OFAcc(V_exp_H,V_list1_H,V_list2_H,T_a) != c_Expr_Oexp_OBinOp(V_exp1,V_bop,V_exp2,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_116,plain,
    ! [T_a,V_bop,V_exp1,V_exp2,V_exp_H,V_list1_H,V_list2_H] :
      ( lhs_atom117(V_list2_H,V_list1_H,V_exp_H,V_exp2,V_exp1,V_bop,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I99_J_0_0,def_lhs_atom117]) ).

fof(def_lhs_atom118,axiom,
    ! [V_val,V_exp2_H,V_exp1_H,T_a] :
      ( lhs_atom118(V_val,V_exp2_H,V_exp1_H,T_a)
    <=> c_Expr_Oexp_OVal(V_val,T_a) != c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_117,plain,
    ! [T_a,V_exp1_H,V_exp2_H,V_val] :
      ( lhs_atom118(V_val,V_exp2_H,V_exp1_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I84_J_0_0,def_lhs_atom118]) ).

fof(def_lhs_atom119,axiom,
    ! [V_list_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_a_H,T_a] :
      ( lhs_atom119(V_list_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_a_H,T_a)
    <=> c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a) != c_Expr_Oexp_OSeq(V_exp1,V_exp2,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_118,plain,
    ! [T_a,V_a_H,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_list_H] :
      ( lhs_atom119(V_list_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_a_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I213_J_0_0,def_lhs_atom119]) ).

fof(def_lhs_atom120,axiom,
    ! [V_list_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_a_H,T_a] :
      ( lhs_atom120(V_list_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_a_H,T_a)
    <=> c_Expr_Oexp_OSeq(V_exp1,V_exp2,T_a) != c_Expr_Oexp_OTryCatch(V_exp1_H,V_list_H,V_a_H,V_exp2_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_119,plain,
    ! [T_a,V_a_H,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_list_H] :
      ( lhs_atom120(V_list_H,V_exp2_H,V_exp2,V_exp1_H,V_exp1,V_a_H,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I212_J_0_0,def_lhs_atom120]) ).

fof(def_lhs_atom121,axiom,
    ! [V_list2,V_list1,V_exp2_H,V_exp1_H,V_exp,T_a] :
      ( lhs_atom121(V_list2,V_list1,V_exp2_H,V_exp1_H,V_exp,T_a)
    <=> c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a) != c_Expr_Oexp_OCall(V_exp,V_list1,V_list2,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_120,plain,
    ! [T_a,V_exp,V_exp1_H,V_exp2_H,V_list1,V_list2] :
      ( lhs_atom121(V_list2,V_list1,V_exp2_H,V_exp1_H,V_exp,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I187_J_0_0,def_lhs_atom121]) ).

fof(def_lhs_atom122,axiom,
    ! [V_r,T_a] :
      ( lhs_atom122(V_r,T_a)
    <=> c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a) = c_Transitive__Closure_Ortrancl(V_r,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_121,plain,
    ! [T_a,V_r] :
      ( lhs_atom122(V_r,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_rtrancl__idemp_0_0,def_lhs_atom122]) ).

fof(def_lhs_atom123,axiom,
    ! [V_list2,V_list1,V_exp2_H,V_exp1_H,V_exp,T_a] :
      ( lhs_atom123(V_list2,V_list1,V_exp2_H,V_exp1_H,V_exp,T_a)
    <=> c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a) != c_Expr_Oexp_OFAcc(V_exp,V_list1,V_list2,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_122,plain,
    ! [T_a,V_exp,V_exp1_H,V_exp2_H,V_list1,V_list2] :
      ( lhs_atom123(V_list2,V_list1,V_exp2_H,V_exp1_H,V_exp,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I161_J_0_0,def_lhs_atom123]) ).

fof(def_lhs_atom124,axiom,
    ! [V_list_H] :
      ( lhs_atom124(V_list_H)
    <=> c_Type_Oty_OVoid != c_Type_Oty_OClass(V_list_H) ),
    inference(definition,[],]) ).

fof(to_be_clausified_123,plain,
    ! [V_list_H] :
      ( lhs_atom124(V_list_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_ty_Osimps_I8_J_0_0,def_lhs_atom124]) ).

fof(def_lhs_atom125,axiom,
    ! [V_list_H] :
      ( lhs_atom125(V_list_H)
    <=> c_Type_Oty_ONT != c_Type_Oty_OClass(V_list_H) ),
    inference(definition,[],]) ).

fof(to_be_clausified_124,plain,
    ! [V_list_H] :
      ( lhs_atom125(V_list_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_ty_Osimps_I20_J_0_0,def_lhs_atom125]) ).

fof(def_lhs_atom126,axiom,
    ! [V_list2_H,V_list2,V_list1_H,V_list1,V_exp2_H,V_exp1_H,V_exp,T_a] :
      ( lhs_atom126(V_list2_H,V_list2,V_list1_H,V_list1,V_exp2_H,V_exp1_H,V_exp,T_a)
    <=> c_Expr_Oexp_OFAcc(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_OFAss(V_exp1_H,V_list1_H,V_list2_H,V_exp2_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_125,plain,
    ! [T_a,V_exp,V_exp1_H,V_exp2_H,V_list1,V_list1_H,V_list2,V_list2_H] :
      ( lhs_atom126(V_list2_H,V_list2,V_list1_H,V_list1,V_exp2_H,V_exp1_H,V_exp,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I154_J_0_0,def_lhs_atom126]) ).

fof(def_lhs_atom127,axiom,
    ! [V_list2_H,V_list2,V_list1_H,V_list1,V_exp2_H,V_exp1_H,V_exp,T_a] :
      ( lhs_atom127(V_list2_H,V_list2,V_list1_H,V_list1,V_exp2_H,V_exp1_H,V_exp,T_a)
    <=> c_Expr_Oexp_OFAss(V_exp1_H,V_list1_H,V_list2_H,V_exp2_H,T_a) != c_Expr_Oexp_OFAcc(V_exp,V_list1,V_list2,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_126,plain,
    ! [T_a,V_exp,V_exp1_H,V_exp2_H,V_list1,V_list1_H,V_list2,V_list2_H] :
      ( lhs_atom127(V_list2_H,V_list2,V_list1_H,V_list1,V_exp2_H,V_exp1_H,V_exp,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I155_J_0_0,def_lhs_atom127]) ).

fof(def_lhs_atom128,axiom,
    ( lhs_atom128
  <=> c_Type_Oty_ONT != c_Type_Oty_OVoid ),
    inference(definition,[],]) ).

fof(to_be_clausified_127,plain,
    ( lhs_atom128
    | $false ),
    inference(fold_definition,[status(thm)],[cls_ty_Osimps_I7_J_0_0,def_lhs_atom128]) ).

fof(def_lhs_atom129,axiom,
    ! [V_s,V_e,V_P] :
      ( lhs_atom129(V_s,V_e,V_P)
    <=> c_in(c_Pair(c_Pair(c_Expr_Oexp_Othrow(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(V_P),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(definition,[],]) ).

fof(to_be_clausified_128,plain,
    ! [V_P,V_e,V_s] :
      ( lhs_atom129(V_s,V_e,V_P)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_red__reds_OThrowThrow_0_0,def_lhs_atom129]) ).

fof(def_lhs_atom130,axiom,
    ! [V_list2,V_list1,V_exp2_H,V_exp1_H,V_exp,T_a] :
      ( lhs_atom130(V_list2,V_list1,V_exp2_H,V_exp1_H,V_exp,T_a)
    <=> c_Expr_Oexp_OFAcc(V_exp,V_list1,V_list2,T_a) != c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_129,plain,
    ! [T_a,V_exp,V_exp1_H,V_exp2_H,V_list1,V_list2] :
      ( lhs_atom130(V_list2,V_list1,V_exp2_H,V_exp1_H,V_exp,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I160_J_0_0,def_lhs_atom130]) ).

fof(def_lhs_atom131,axiom,
    ! [V_s,V_e_092_060_094isub_0622,V_e,V_P,V_F,V_D] :
      ( lhs_atom131(V_s,V_e_092_060_094isub_0622,V_e,V_P,V_F,V_D)
    <=> c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_F,V_D,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(V_P),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(definition,[],]) ).

fof(to_be_clausified_130,plain,
    ! [V_D,V_F,V_P,V_e,V_e_092_060_094isub_0622,V_s] :
      ( lhs_atom131(V_s,V_e_092_060_094isub_0622,V_e,V_P,V_F,V_D)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_red__reds_OFAssThrow1_0_0,def_lhs_atom131]) ).

fof(def_lhs_atom132,axiom,
    ! [V_list_H] :
      ( lhs_atom132(V_list_H)
    <=> c_Type_Oty_OClass(V_list_H) != c_Type_Oty_OVoid ),
    inference(definition,[],]) ).

fof(to_be_clausified_131,plain,
    ! [V_list_H] :
      ( lhs_atom132(V_list_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_ty_Osimps_I9_J_0_0,def_lhs_atom132]) ).

fof(def_lhs_atom133,axiom,
    ! [V_s,V_e,V_P,V_F,V_D] :
      ( lhs_atom133(V_s,V_e,V_P,V_F,V_D)
    <=> c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAcc(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_F,V_D,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(V_P),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(definition,[],]) ).

fof(to_be_clausified_132,plain,
    ! [V_D,V_F,V_P,V_e,V_s] :
      ( lhs_atom133(V_s,V_e,V_P,V_F,V_D)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_red__reds_OFAccThrow_0_0,def_lhs_atom133]) ).

fof(def_lhs_atom134,axiom,
    ! [V_v,V_s,V_e,V_P,V_F,V_D] :
      ( lhs_atom134(V_v,V_s,V_e,V_P,V_F,V_D)
    <=> c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(V_v,tc_List_Olist(tc_String_Ochar)),V_F,V_D,c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(V_P),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(definition,[],]) ).

fof(to_be_clausified_133,plain,
    ! [V_D,V_F,V_P,V_e,V_s,V_v] :
      ( lhs_atom134(V_v,V_s,V_e,V_P,V_F,V_D)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_red__reds_OFAssThrow2_0_0,def_lhs_atom134]) ).

fof(def_lhs_atom135,axiom,
    ! [V_s,V_e_092_060_094isub_0622,V_e,V_P] :
      ( lhs_atom135(V_s,V_e_092_060_094isub_0622,V_e,V_P)
    <=> c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(V_P),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(definition,[],]) ).

fof(to_be_clausified_134,plain,
    ! [V_P,V_e,V_e_092_060_094isub_0622,V_s] :
      ( lhs_atom135(V_s,V_e_092_060_094isub_0622,V_e,V_P)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_red__reds_OSeqThrow_0_0,def_lhs_atom135]) ).

fof(def_lhs_atom136,axiom,
    ! [V_v,V_s,V_e_092_060_094isub_0622,V_P] :
      ( lhs_atom136(V_v,V_s,V_e_092_060_094isub_0622,V_P)
    <=> c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(c_Expr_Oexp_OVal(V_v,tc_List_Olist(tc_String_Ochar)),V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(V_e_092_060_094isub_0622,V_s,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(V_P),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(definition,[],]) ).

fof(to_be_clausified_135,plain,
    ! [V_P,V_e_092_060_094isub_0622,V_s,V_v] :
      ( lhs_atom136(V_v,V_s,V_e_092_060_094isub_0622,V_P)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_red__reds_ORedSeq_0_0,def_lhs_atom136]) ).

fof(def_lhs_atom137,axiom,
    ! [V_T,V_P,T_a] :
      ( lhs_atom137(V_T,V_P,T_a)
    <=> c_TypeRel_Owiden(V_P,V_T,V_T,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_136,plain,
    ! [T_a,V_P,V_T] :
      ( lhs_atom137(V_T,V_P,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_widen__refl_0_0,def_lhs_atom137]) ).

fof(def_lhs_atom138,axiom,
    ! [V_list_H] :
      ( lhs_atom138(V_list_H)
    <=> c_Type_Oty_OClass(V_list_H) != c_Type_Oty_ONT ),
    inference(definition,[],]) ).

fof(to_be_clausified_137,plain,
    ! [V_list_H] :
      ( lhs_atom138(V_list_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_ty_Osimps_I21_J_0_0,def_lhs_atom138]) ).

fof(def_lhs_atom139,axiom,
    ! [V_P,V_C,T_a] :
      ( lhs_atom139(V_P,V_C,T_a)
    <=> c_TypeRel_Owiden(V_P,c_Type_Oty_ONT,c_Type_Oty_OClass(V_C),T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_138,plain,
    ! [T_a,V_C,V_P] :
      ( lhs_atom139(V_P,V_C,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_widen__Class_2_0,def_lhs_atom139]) ).

fof(def_lhs_atom140,axiom,
    ( lhs_atom140
  <=> c_Type_Oty_OVoid != c_Type_Oty_ONT ),
    inference(definition,[],]) ).

fof(to_be_clausified_139,plain,
    ( lhs_atom140
    | $false ),
    inference(fold_definition,[status(thm)],[cls_ty_Osimps_I6_J_0_0,def_lhs_atom140]) ).

fof(def_lhs_atom141,axiom,
    ! [V_list2,V_list1,V_exp2_H,V_exp2,V_exp1_H,V_exp1,T_a] :
      ( lhs_atom141(V_list2,V_list1,V_exp2_H,V_exp2,V_exp1_H,V_exp1,T_a)
    <=> c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a) != c_Expr_Oexp_OFAss(V_exp1,V_list1,V_list2,V_exp2,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_140,plain,
    ! [T_a,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_list1,V_list2] :
      ( lhs_atom141(V_list2,V_list1,V_exp2_H,V_exp2,V_exp1_H,V_exp1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I175_J_0_0,def_lhs_atom141]) ).

fof(def_lhs_atom142,axiom,
    ! [V_h] :
      ( lhs_atom142(V_h)
    <=> c_Objects_Ohext(V_h,V_h) ),
    inference(definition,[],]) ).

fof(to_be_clausified_141,plain,
    ! [V_h] :
      ( lhs_atom142(V_h)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_hext__refl_0_0,def_lhs_atom142]) ).

fof(def_lhs_atom143,axiom,
    ( lhs_atom143
  <=> c_in(c_Pair(c_Pair(v_ea____,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(v_e_Ha____,c_Pair(v_h_Ha____,v_l_Ha____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(v_P),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(definition,[],]) ).

fof(to_be_clausified_142,plain,
    ( lhs_atom143
    | $false ),
    inference(fold_definition,[status(thm)],[cls_red_0_0,def_lhs_atom143]) ).

fof(def_lhs_atom144,axiom,
    ! [V_P,T_a] :
      ( lhs_atom144(V_P,T_a)
    <=> c_COMBI(V_P,T_a) = V_P ),
    inference(definition,[],]) ).

fof(to_be_clausified_143,plain,
    ! [T_a,V_P] :
      ( lhs_atom144(V_P,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_COMBI__def_0_0,def_lhs_atom144]) ).

fof(def_lhs_atom145,axiom,
    ! [V_f,T_b,T_a] :
      ( lhs_atom145(V_f,T_b,T_a)
    <=> c_Map_Omap__le(V_f,V_f,T_a,T_b) ),
    inference(definition,[],]) ).

fof(to_be_clausified_144,plain,
    ! [T_a,T_b,V_f] :
      ( lhs_atom145(V_f,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_map__le__refl_0_0,def_lhs_atom145]) ).

fof(def_lhs_atom146,axiom,
    ( lhs_atom146
  <=> v_T____ = c_Type_Oty_OVoid ),
    inference(definition,[],]) ).

fof(to_be_clausified_145,plain,
    ( lhs_atom146
    | $false ),
    inference(fold_definition,[status(thm)],[cls_void_0_0,def_lhs_atom146]) ).

fof(def_lhs_atom147,axiom,
    ! [V_list2,V_list1,V_exp2_H,V_exp2,V_exp1_H,V_exp1,T_a] :
      ( lhs_atom147(V_list2,V_list1,V_exp2_H,V_exp2,V_exp1_H,V_exp1,T_a)
    <=> c_Expr_Oexp_OFAss(V_exp1,V_list1,V_list2,V_exp2,T_a) != c_Expr_Oexp_OSeq(V_exp1_H,V_exp2_H,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_146,plain,
    ! [T_a,V_exp1,V_exp1_H,V_exp2,V_exp2_H,V_list1,V_list2] :
      ( lhs_atom147(V_list2,V_list1,V_exp2_H,V_exp2,V_exp1_H,V_exp1,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_exp_Osimps_I174_J_0_0,def_lhs_atom147]) ).

fof(def_lhs_atom148,axiom,
    ( lhs_atom148
  <=> c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_ONT) ),
    inference(definition,[],]) ).

fof(to_be_clausified_147,plain,
    ( lhs_atom148
    | $false ),
    inference(fold_definition,[status(thm)],[cls_calculation_0_0,def_lhs_atom148]) ).

fof(def_lhs_atom149,axiom,
    ( lhs_atom149
  <=> c_TypeSafe__Mirabelle_Osconf(v_P,v_E____,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
    inference(definition,[],]) ).

fof(to_be_clausified_148,plain,
    ( lhs_atom149
    | $false ),
    inference(fold_definition,[status(thm)],[cls_conf_0_0,def_lhs_atom149]) ).

fof(def_lhs_atom150,axiom,
    ( lhs_atom150
  <=> c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OFAss(v_ea____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_T____) ),
    inference(definition,[],]) ).

fof(to_be_clausified_149,plain,
    ( lhs_atom150
    | $false ),
    inference(fold_definition,[status(thm)],[cls_wt_0_0,def_lhs_atom150]) ).

fof(def_lhs_atom151,axiom,
    ( lhs_atom151
  <=> c_COMBI(v_P,t_a) = v_P ),
    inference(definition,[],]) ).

fof(to_be_clausified_150,plain,
    ( lhs_atom151
    | $false ),
    inference(fold_definition,[status(thm)],[cls_COMBI__def__raw_0_0,def_lhs_atom151]) ).

fof(to_be_clausified_151,plain,
    ( lhs_atom150
    | $false ),
    inference(fold_definition,[status(thm)],[cls_CHAINED_0_0,def_lhs_atom150]) ).

fof(def_lhs_atom152,axiom,
    ( lhs_atom152
  <=> class_Orderings_Opreorder(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_152,plain,
    ( lhs_atom152
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Orderings_Opreorder_0,def_lhs_atom152]) ).

fof(def_lhs_atom153,axiom,
    ( lhs_atom153
  <=> class_Orderings_Olinorder(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_153,plain,
    ( lhs_atom153
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Orderings_Olinorder_0,def_lhs_atom153]) ).

fof(def_lhs_atom154,axiom,
    ( lhs_atom154
  <=> class_Orderings_Oorder(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_154,plain,
    ( lhs_atom154
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Orderings_Oorder_0,def_lhs_atom154]) ).

fof(def_lhs_atom155,axiom,
    ( lhs_atom155
  <=> class_HOL_Oord(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_155,plain,
    ( lhs_atom155
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__HOL_Oord_0,def_lhs_atom155]) ).

fof(def_lhs_atom156,axiom,
    ( lhs_atom156
  <=> class_Orderings_Opreorder(tc_bool) ),
    inference(definition,[],]) ).

fof(to_be_clausified_156,plain,
    ( lhs_atom156
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__Orderings_Opreorder_0,def_lhs_atom156]) ).

fof(def_lhs_atom157,axiom,
    ( lhs_atom157
  <=> class_Orderings_Oorder(tc_bool) ),
    inference(definition,[],]) ).

fof(to_be_clausified_157,plain,
    ( lhs_atom157
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__Orderings_Oorder_0,def_lhs_atom157]) ).

fof(def_lhs_atom158,axiom,
    ( lhs_atom158
  <=> class_HOL_Oord(tc_bool) ),
    inference(definition,[],]) ).

fof(to_be_clausified_158,plain,
    ( lhs_atom158
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__HOL_Oord_0,def_lhs_atom158]) ).

fof(def_lhs_atom159,axiom,
    ! [V_x,T_a] :
      ( lhs_atom159(V_x,T_a)
    <=> c_fequal(V_x,V_x,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_159,plain,
    ! [T_a,V_x] :
      ( lhs_atom159(V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_ATP__Linkup_Oequal__imp__fequal_0_0,def_lhs_atom159]) ).

% Start CNF derivation
fof(c_0_0,axiom,
    ! [X11,X12,X13,X6,X7,X8,X9,X14,X4] :
      ( lhs_atom26(X11,X12,X13,X6,X7,X8,X9,X14,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_25) ).

fof(c_0_1,axiom,
    ! [X11,X12,X13,X6,X7,X8,X9,X14,X4] :
      ( lhs_atom3(X11,X12,X13,X6,X7,X8,X9,X14,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_2) ).

fof(c_0_2,axiom,
    ! [X15,X12,X16,X13,X6,X8,X2,X4] :
      ( lhs_atom127(X15,X12,X16,X13,X6,X8,X2,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_126) ).

fof(c_0_3,axiom,
    ! [X15,X12,X16,X13,X6,X8,X2,X4] :
      ( lhs_atom126(X15,X12,X16,X13,X6,X8,X2,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_125) ).

fof(c_0_4,axiom,
    ! [X11,X12,X13,X6,X8,X2,X14,X4] :
      ( lhs_atom109(X11,X12,X13,X6,X8,X2,X14,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_108) ).

fof(c_0_5,axiom,
    ! [X11,X20,X6,X7,X8,X9,X14,X4] :
      ( lhs_atom92(X11,X20,X6,X7,X8,X9,X14,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_91) ).

fof(c_0_6,axiom,
    ! [X15,X12,X16,X13,X1,X7,X9,X4] :
      ( lhs_atom86(X15,X12,X16,X13,X1,X7,X9,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_85) ).

fof(c_0_7,axiom,
    ! [X15,X16,X6,X7,X8,X9,X10,X4] :
      ( lhs_atom74(X15,X16,X6,X7,X8,X9,X10,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_73) ).

fof(c_0_8,axiom,
    ! [X11,X6,X7,X8,X9,X10,X14,X4] :
      ( lhs_atom68(X11,X6,X7,X8,X9,X10,X14,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_67) ).

fof(c_0_9,axiom,
    ! [X15,X12,X16,X13,X1,X7,X9,X4] :
      ( lhs_atom66(X15,X12,X16,X13,X1,X7,X9,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_65) ).

fof(c_0_10,axiom,
    ! [X12,X13,X5,X6,X7,X8,X9,X4] :
      ( lhs_atom65(X12,X13,X5,X6,X7,X8,X9,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_64) ).

fof(c_0_11,axiom,
    ! [X11,X20,X6,X7,X8,X9,X14,X4] :
      ( lhs_atom55(X11,X20,X6,X7,X8,X9,X14,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_54) ).

fof(c_0_12,axiom,
    ! [X11,X12,X13,X6,X8,X2,X14,X4] :
      ( lhs_atom40(X11,X12,X13,X6,X8,X2,X14,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_39) ).

fof(c_0_13,axiom,
    ! [X11,X12,X13,X6,X8,X2,X14,X4] :
      ( lhs_atom38(X11,X12,X13,X6,X8,X2,X14,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_37) ).

fof(c_0_14,axiom,
    ! [X12,X13,X5,X6,X7,X8,X9,X4] :
      ( lhs_atom28(X12,X13,X5,X6,X7,X8,X9,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_27) ).

fof(c_0_15,axiom,
    ! [X11,X6,X7,X8,X9,X10,X14,X4] :
      ( lhs_atom16(X11,X6,X7,X8,X9,X10,X14,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_15) ).

fof(c_0_16,axiom,
    ! [X11,X12,X13,X6,X8,X2,X14,X4] :
      ( lhs_atom9(X11,X12,X13,X6,X8,X2,X14,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_8) ).

fof(c_0_17,axiom,
    ! [X15,X16,X6,X7,X8,X9,X10,X4] :
      ( lhs_atom4(X15,X16,X6,X7,X8,X9,X10,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_3) ).

fof(c_0_18,axiom,
    ! [X12,X13,X6,X7,X8,X9,X4] :
      ( lhs_atom147(X12,X13,X6,X7,X8,X9,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_146) ).

fof(c_0_19,axiom,
    ! [X12,X13,X6,X7,X8,X9,X4] :
      ( lhs_atom141(X12,X13,X6,X7,X8,X9,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_140) ).

fof(c_0_20,axiom,
    ! [X11,X6,X7,X8,X9,X14,X4] :
      ( lhs_atom120(X11,X6,X7,X8,X9,X14,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_119) ).

fof(c_0_21,axiom,
    ! [X11,X6,X7,X8,X9,X14,X4] :
      ( lhs_atom119(X11,X6,X7,X8,X9,X14,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_118) ).

fof(c_0_22,axiom,
    ! [X15,X16,X1,X7,X9,X10,X4] :
      ( lhs_atom117(X15,X16,X1,X7,X9,X10,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_116) ).

fof(c_0_23,axiom,
    ! [X11,X6,X8,X2,X14,X3,X4] :
      ( lhs_atom116(X11,X6,X8,X2,X14,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_115) ).

fof(c_0_24,axiom,
    ! [X5,X6,X7,X8,X9,X10,X4] :
      ( lhs_atom102(X5,X6,X7,X8,X9,X10,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_101) ).

fof(c_0_25,axiom,
    ! [X15,X12,X16,X13,X1,X2,X4] :
      ( lhs_atom97(X15,X12,X16,X13,X1,X2,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_96) ).

fof(c_0_26,axiom,
    ! [X15,X16,X18,X6,X8,X2,X4] :
      ( lhs_atom91(X15,X16,X18,X6,X8,X2,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_90) ).

fof(c_0_27,axiom,
    ! [X11,X18,X6,X8,X2,X14,X4] :
      ( lhs_atom84(X11,X18,X6,X8,X2,X14,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_83) ).

fof(c_0_28,axiom,
    ! [X15,X12,X16,X13,X1,X2,X4] :
      ( lhs_atom76(X15,X12,X16,X13,X1,X2,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_75) ).

fof(c_0_29,axiom,
    ! [X11,X6,X8,X2,X14,X3,X4] :
      ( lhs_atom75(X11,X6,X8,X2,X14,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_74) ).

fof(c_0_30,axiom,
    ! [X12,X13,X5,X6,X8,X2,X4] :
      ( lhs_atom61(X12,X13,X5,X6,X8,X2,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_60) ).

fof(c_0_31,axiom,
    ! [X15,X16,X1,X7,X9,X10,X4] :
      ( lhs_atom48(X15,X16,X1,X7,X9,X10,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_47) ).

fof(c_0_32,axiom,
    ! [X15,X16,X6,X8,X2,X3,X4] :
      ( lhs_atom44(X15,X16,X6,X8,X2,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_43) ).

fof(c_0_33,axiom,
    ! [X12,X13,X5,X6,X8,X2,X4] :
      ( lhs_atom41(X12,X13,X5,X6,X8,X2,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_40) ).

fof(c_0_34,axiom,
    ! [X12,X13,X5,X6,X8,X2,X4] :
      ( lhs_atom39(X12,X13,X5,X6,X8,X2,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_38) ).

fof(c_0_35,axiom,
    ! [X15,X16,X18,X6,X8,X2,X4] :
      ( lhs_atom35(X15,X16,X18,X6,X8,X2,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_34) ).

fof(c_0_36,axiom,
    ! [X11,X18,X6,X8,X2,X14,X4] :
      ( lhs_atom34(X11,X18,X6,X8,X2,X14,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_33) ).

fof(c_0_37,axiom,
    ! [X15,X16,X6,X8,X2,X3,X4] :
      ( lhs_atom32(X15,X16,X6,X8,X2,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_31) ).

fof(c_0_38,axiom,
    ! [X12,X13,X5,X6,X8,X2,X4] :
      ( lhs_atom23(X12,X13,X5,X6,X8,X2,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_22) ).

fof(c_0_39,axiom,
    ! [X15,X16,X1,X7,X9,X10,X4] :
      ( lhs_atom21(X15,X16,X1,X7,X9,X10,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_20) ).

fof(c_0_40,axiom,
    ! [X15,X16,X1,X7,X9,X10,X4] :
      ( lhs_atom20(X15,X16,X1,X7,X9,X10,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_19) ).

fof(c_0_41,axiom,
    ! [X5,X6,X7,X8,X9,X10,X4] :
      ( lhs_atom2(X5,X6,X7,X8,X9,X10,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_1) ).

fof(c_0_42,axiom,
    ! [X33,X27,X28,X30,X43,X44] :
      ( lhs_atom134(X33,X27,X28,X30,X43,X44)
      | ~ $true ),
    file('<stdin>',to_be_clausified_133) ).

fof(c_0_43,axiom,
    ! [X27,X32,X28,X30,X43,X44] :
      ( lhs_atom131(X27,X32,X28,X30,X43,X44)
      | ~ $true ),
    file('<stdin>',to_be_clausified_130) ).

fof(c_0_44,axiom,
    ! [X12,X13,X6,X8,X2,X4] :
      ( lhs_atom130(X12,X13,X6,X8,X2,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_129) ).

fof(c_0_45,axiom,
    ! [X12,X13,X6,X8,X2,X4] :
      ( lhs_atom123(X12,X13,X6,X8,X2,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_122) ).

fof(c_0_46,axiom,
    ! [X12,X13,X6,X8,X2,X4] :
      ( lhs_atom121(X12,X13,X6,X8,X2,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_120) ).

fof(c_0_47,axiom,
    ! [X5,X6,X8,X2,X3,X4] :
      ( lhs_atom115(X5,X6,X8,X2,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_114) ).

fof(c_0_48,axiom,
    ! [X17,X15,X16,X6,X8,X4] :
      ( lhs_atom114(X17,X15,X16,X6,X8,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_113) ).

fof(c_0_49,axiom,
    ! [X17,X11,X6,X8,X14,X4] :
      ( lhs_atom112(X17,X11,X6,X8,X14,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_111) ).

fof(c_0_50,axiom,
    ! [X15,X16,X18,X1,X2,X4] :
      ( lhs_atom98(X15,X16,X18,X1,X2,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_97) ).

fof(c_0_51,axiom,
    ! [X5,X6,X8,X2,X3,X4] :
      ( lhs_atom90(X5,X6,X8,X2,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_89) ).

fof(c_0_52,axiom,
    ! [X18,X5,X6,X8,X2,X4] :
      ( lhs_atom89(X18,X5,X6,X8,X2,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_88) ).

fof(c_0_53,axiom,
    ! [X17,X11,X6,X8,X14,X4] :
      ( lhs_atom88(X17,X11,X6,X8,X14,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_87) ).

fof(c_0_54,axiom,
    ! [X6,X7,X8,X9,X10,X4] :
      ( lhs_atom87(X6,X7,X8,X9,X10,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_86) ).

fof(c_0_55,axiom,
    ! [X6,X7,X8,X9,X10,X4] :
      ( lhs_atom85(X6,X7,X8,X9,X10,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_84) ).

fof(c_0_56,axiom,
    ! [X11,X6,X8,X2,X14,X4] :
      ( lhs_atom82(X11,X6,X8,X2,X14,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_81) ).

fof(c_0_57,axiom,
    ! [X15,X16,X1,X2,X3,X4] :
      ( lhs_atom81(X15,X16,X1,X2,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_80) ).

fof(c_0_58,axiom,
    ! [X33,X27,X32,X29,X30,X31] :
      ( lhs_atom72(X33,X27,X32,X29,X30,X31)
      | ~ $true ),
    file('<stdin>',to_be_clausified_71) ).

fof(c_0_59,axiom,
    ! [X15,X16,X18,X1,X2,X4] :
      ( lhs_atom71(X15,X16,X18,X1,X2,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_70) ).

fof(c_0_60,axiom,
    ! [X1,X7,X9,X10,X14,X4] :
      ( lhs_atom69(X1,X7,X9,X10,X14,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_68) ).

fof(c_0_61,axiom,
    ! [X12,X13,X1,X7,X9,X4] :
      ( lhs_atom67(X12,X13,X1,X7,X9,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_66) ).

fof(c_0_62,axiom,
    ! [X12,X13,X1,X7,X9,X4] :
      ( lhs_atom56(X12,X13,X1,X7,X9,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_55) ).

fof(c_0_63,axiom,
    ! [X11,X6,X8,X2,X14,X4] :
      ( lhs_atom53(X11,X6,X8,X2,X14,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_52) ).

fof(c_0_64,axiom,
    ! [X15,X16,X18,X1,X2,X4] :
      ( lhs_atom50(X15,X16,X18,X1,X2,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_49) ).

fof(c_0_65,axiom,
    ! [X15,X16,X18,X1,X2,X4] :
      ( lhs_atom49(X15,X16,X18,X1,X2,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_48) ).

fof(c_0_66,axiom,
    ! [X15,X16,X1,X2,X3,X4] :
      ( lhs_atom47(X15,X16,X1,X2,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_46) ).

fof(c_0_67,axiom,
    ! [X15,X16,X1,X2,X3,X4] :
      ( lhs_atom46(X15,X16,X1,X2,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_45) ).

fof(c_0_68,axiom,
    ! [X17,X15,X16,X6,X8,X4] :
      ( lhs_atom45(X17,X15,X16,X6,X8,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_44) ).

fof(c_0_69,axiom,
    ! [X18,X5,X6,X8,X2,X4] :
      ( lhs_atom36(X18,X5,X6,X8,X2,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_35) ).

fof(c_0_70,axiom,
    ! [X15,X16,X1,X2,X3,X4] :
      ( lhs_atom30(X15,X16,X1,X2,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_29) ).

fof(c_0_71,axiom,
    ! [X5,X6,X7,X8,X9,X4] :
      ( lhs_atom29(X5,X6,X7,X8,X9,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_28) ).

fof(c_0_72,axiom,
    ! [X12,X13,X6,X8,X2,X4] :
      ( lhs_atom25(X12,X13,X6,X8,X2,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_24) ).

fof(c_0_73,axiom,
    ! [X1,X7,X9,X10,X14,X4] :
      ( lhs_atom22(X1,X7,X9,X10,X14,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_21) ).

fof(c_0_74,axiom,
    ! [X18,X6,X8,X2,X19,X4] :
      ( lhs_atom18(X18,X6,X8,X2,X19,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_17) ).

fof(c_0_75,axiom,
    ! [X5,X6,X7,X8,X9,X4] :
      ( lhs_atom15(X5,X6,X7,X8,X9,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_14) ).

fof(c_0_76,axiom,
    ! [X18,X6,X8,X2,X19,X4] :
      ( lhs_atom6(X18,X6,X8,X2,X19,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_5) ).

fof(c_0_77,axiom,
    ! [X27,X28,X30,X43,X44] :
      ( lhs_atom133(X27,X28,X30,X43,X44)
      | ~ $true ),
    file('<stdin>',to_be_clausified_132) ).

fof(c_0_78,axiom,
    ! [X18,X1,X2,X14,X4] :
      ( lhs_atom113(X18,X1,X2,X14,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_112) ).

fof(c_0_79,axiom,
    ! [X18,X6,X8,X2,X4] :
      ( lhs_atom110(X18,X6,X8,X2,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_109) ).

fof(c_0_80,axiom,
    ! [X17,X15,X16,X1,X4] :
      ( lhs_atom108(X17,X15,X16,X1,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_107) ).

fof(c_0_81,axiom,
    ! [X17,X15,X16,X1,X4] :
      ( lhs_atom107(X17,X15,X16,X1,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_106) ).

fof(c_0_82,axiom,
    ! [X42,X27,X28,X10,X30] :
      ( lhs_atom104(X42,X27,X28,X10,X30)
      | ~ $true ),
    file('<stdin>',to_be_clausified_103) ).

fof(c_0_83,axiom,
    ! [X27,X40,X28,X30,X41] :
      ( lhs_atom101(X27,X40,X28,X30,X41)
      | ~ $true ),
    file('<stdin>',to_be_clausified_100) ).

fof(c_0_84,axiom,
    ! [X17,X6,X8,X19,X4] :
      ( lhs_atom99(X17,X6,X8,X19,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_98) ).

fof(c_0_85,axiom,
    ! [X1,X7,X9,X10,X4] :
      ( lhs_atom94(X1,X7,X9,X10,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_93) ).

fof(c_0_86,axiom,
    ! [X18,X6,X8,X2,X4] :
      ( lhs_atom80(X18,X6,X8,X2,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_79) ).

fof(c_0_87,axiom,
    ! [X27,X32,X36,X28,X30] :
      ( lhs_atom79(X27,X32,X36,X28,X30)
      | ~ $true ),
    file('<stdin>',to_be_clausified_78) ).

fof(c_0_88,axiom,
    ! [X12,X13,X1,X2,X4] :
      ( lhs_atom77(X12,X13,X1,X2,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_76) ).

fof(c_0_89,axiom,
    ! [X1,X7,X9,X10,X4] :
      ( lhs_atom64(X1,X7,X9,X10,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_63) ).

fof(c_0_90,axiom,
    ! [X17,X15,X16,X1,X4] :
      ( lhs_atom63(X17,X15,X16,X1,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_62) ).

fof(c_0_91,axiom,
    ! [X27,X32,X28,X10,X30] :
      ( lhs_atom62(X27,X32,X28,X10,X30)
      | ~ $true ),
    file('<stdin>',to_be_clausified_61) ).

fof(c_0_92,axiom,
    ! [X12,X13,X1,X2,X4] :
      ( lhs_atom60(X12,X13,X1,X2,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_59) ).

fof(c_0_93,axiom,
    ! [X12,X13,X1,X2,X4] :
      ( lhs_atom59(X12,X13,X1,X2,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_58) ).

fof(c_0_94,axiom,
    ! [X17,X15,X16,X1,X4] :
      ( lhs_atom54(X17,X15,X16,X1,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_53) ).

fof(c_0_95,axiom,
    ! [X17,X5,X6,X8,X4] :
      ( lhs_atom52(X17,X5,X6,X8,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_51) ).

fof(c_0_96,axiom,
    ! [X17,X5,X6,X8,X4] :
      ( lhs_atom43(X17,X5,X6,X8,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_42) ).

fof(c_0_97,axiom,
    ! [X18,X1,X2,X14,X4] :
      ( lhs_atom37(X18,X1,X2,X14,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_36) ).

fof(c_0_98,axiom,
    ! [X12,X13,X1,X2,X4] :
      ( lhs_atom33(X12,X13,X1,X2,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_32) ).

fof(c_0_99,axiom,
    ! [X17,X6,X8,X19,X4] :
      ( lhs_atom27(X17,X6,X8,X19,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_26) ).

fof(c_0_100,axiom,
    ! [X6,X8,X2,X3,X4] :
      ( lhs_atom19(X6,X8,X2,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_18) ).

fof(c_0_101,axiom,
    ! [X6,X8,X2,X3,X4] :
      ( lhs_atom14(X6,X8,X2,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_13) ).

fof(c_0_102,axiom,
    ! [X1,X20,X7,X9,X4] :
      ( lhs_atom10(X1,X20,X7,X9,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_9) ).

fof(c_0_103,axiom,
    ! [X21,X22,X23,X24,X4] :
      ( lhs_atom8(X21,X22,X23,X24,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_7) ).

fof(c_0_104,axiom,
    ! [X1,X20,X7,X9,X4] :
      ( lhs_atom7(X1,X20,X7,X9,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_6) ).

fof(c_0_105,axiom,
    ! [X33,X27,X32,X30] :
      ( lhs_atom136(X33,X27,X32,X30)
      | ~ $true ),
    file('<stdin>',to_be_clausified_135) ).

fof(c_0_106,axiom,
    ! [X27,X32,X28,X30] :
      ( lhs_atom135(X27,X32,X28,X30)
      | ~ $true ),
    file('<stdin>',to_be_clausified_134) ).

fof(c_0_107,axiom,
    ! [X17,X6,X8,X4] :
      ( lhs_atom118(X17,X6,X8,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_117) ).

fof(c_0_108,axiom,
    ! [X26,X18,X2,X4] :
      ( lhs_atom111(X26,X18,X2,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_110) ).

fof(c_0_109,axiom,
    ! [X1,X2,X3,X4] :
      ( lhs_atom100(X1,X2,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_99) ).

fof(c_0_110,axiom,
    ! [X1,X7,X9,X4] :
      ( lhs_atom93(X1,X7,X9,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_92) ).

fof(c_0_111,axiom,
    ! [X34,X35,X24,X4] :
      ( lhs_atom78(X34,X35,X24,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_77) ).

fof(c_0_112,axiom,
    ! [X17,X6,X8,X4] :
      ( lhs_atom70(X17,X6,X8,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_69) ).

fof(c_0_113,axiom,
    ! [X17,X1,X14,X4] :
      ( lhs_atom58(X17,X1,X14,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_57) ).

fof(c_0_114,axiom,
    ! [X18,X1,X2,X4] :
      ( lhs_atom57(X18,X1,X2,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_56) ).

fof(c_0_115,axiom,
    ! [X1,X7,X9,X4] :
      ( lhs_atom42(X1,X7,X9,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_41) ).

fof(c_0_116,axiom,
    ! [X27,X28,X30,X31] :
      ( lhs_atom24(X27,X28,X30,X31)
      | ~ $true ),
    file('<stdin>',to_be_clausified_23) ).

fof(c_0_117,axiom,
    ! [X27,X28,X29,X30] :
      ( lhs_atom17(X27,X28,X29,X30)
      | ~ $true ),
    file('<stdin>',to_be_clausified_16) ).

fof(c_0_118,axiom,
    ! [X26,X18,X2,X4] :
      ( lhs_atom13(X26,X18,X2,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_12) ).

fof(c_0_119,axiom,
    ! [X18,X1,X2,X4] :
      ( lhs_atom12(X18,X1,X2,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_11) ).

fof(c_0_120,axiom,
    ! [X17,X1,X14,X4] :
      ( lhs_atom5(X17,X1,X14,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_4) ).

fof(c_0_121,axiom,
    ! [X1,X2,X3,X4] :
      ( lhs_atom1(X1,X2,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_0) ).

fof(c_0_122,axiom,
    ! [X35,X24,X4] :
      ( lhs_atom145(X35,X24,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_144) ).

fof(c_0_123,axiom,
    ! [X30,X31,X4] :
      ( lhs_atom139(X30,X31,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_138) ).

fof(c_0_124,axiom,
    ! [X45,X30,X4] :
      ( lhs_atom137(X45,X30,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_136) ).

fof(c_0_125,axiom,
    ! [X27,X28,X30] :
      ( lhs_atom129(X27,X28,X30)
      | ~ $true ),
    file('<stdin>',to_be_clausified_128) ).

fof(c_0_126,axiom,
    ! [X17,X1,X4] :
      ( lhs_atom103(X17,X1,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_102) ).

fof(c_0_127,axiom,
    ! [X39,X3,X4] :
      ( lhs_atom96(X39,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_95) ).

fof(c_0_128,axiom,
    ! [X37,X38,X4] :
      ( lhs_atom95(X37,X38,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_94) ).

fof(c_0_129,axiom,
    ! [X33,X27,X30] :
      ( lhs_atom83(X33,X27,X30)
      | ~ $true ),
    file('<stdin>',to_be_clausified_82) ).

fof(c_0_130,axiom,
    ! [X17,X1,X4] :
      ( lhs_atom73(X17,X1,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_72) ).

fof(c_0_131,axiom,
    ! [X37,X4] :
      ( lhs_atom159(X37,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_159) ).

fof(c_0_132,axiom,
    ! [X30,X4] :
      ( lhs_atom144(X30,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_143) ).

fof(c_0_133,axiom,
    ! [X39,X4] :
      ( lhs_atom122(X39,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_121) ).

fof(c_0_134,axiom,
    ! [X25,X4] :
      ( lhs_atom106(X25,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_105) ).

fof(c_0_135,axiom,
    ! [X37,X4] :
      ( lhs_atom105(X37,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_104) ).

fof(c_0_136,axiom,
    ! [X25,X4] :
      ( lhs_atom51(X25,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_50) ).

fof(c_0_137,axiom,
    ! [X25,X4] :
      ( lhs_atom31(X25,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_30) ).

fof(c_0_138,axiom,
    ! [X25,X4] :
      ( lhs_atom11(X25,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_10) ).

fof(c_0_139,axiom,
    ! [X46] :
      ( lhs_atom142(X46)
      | ~ $true ),
    file('<stdin>',to_be_clausified_141) ).

fof(c_0_140,axiom,
    ! [X11] :
      ( lhs_atom138(X11)
      | ~ $true ),
    file('<stdin>',to_be_clausified_137) ).

fof(c_0_141,axiom,
    ! [X11] :
      ( lhs_atom132(X11)
      | ~ $true ),
    file('<stdin>',to_be_clausified_131) ).

fof(c_0_142,axiom,
    ! [X11] :
      ( lhs_atom125(X11)
      | ~ $true ),
    file('<stdin>',to_be_clausified_124) ).

fof(c_0_143,axiom,
    ! [X11] :
      ( lhs_atom124(X11)
      | ~ $true ),
    file('<stdin>',to_be_clausified_123) ).

fof(c_0_144,axiom,
    ( lhs_atom158
    | ~ $true ),
    file('<stdin>',to_be_clausified_158) ).

fof(c_0_145,axiom,
    ( lhs_atom157
    | ~ $true ),
    file('<stdin>',to_be_clausified_157) ).

fof(c_0_146,axiom,
    ( lhs_atom156
    | ~ $true ),
    file('<stdin>',to_be_clausified_156) ).

fof(c_0_147,axiom,
    ( lhs_atom155
    | ~ $true ),
    file('<stdin>',to_be_clausified_155) ).

fof(c_0_148,axiom,
    ( lhs_atom154
    | ~ $true ),
    file('<stdin>',to_be_clausified_154) ).

fof(c_0_149,axiom,
    ( lhs_atom153
    | ~ $true ),
    file('<stdin>',to_be_clausified_153) ).

fof(c_0_150,axiom,
    ( lhs_atom152
    | ~ $true ),
    file('<stdin>',to_be_clausified_152) ).

fof(c_0_151,axiom,
    ( lhs_atom150
    | ~ $true ),
    file('<stdin>',to_be_clausified_151) ).

fof(c_0_152,axiom,
    ( lhs_atom151
    | ~ $true ),
    file('<stdin>',to_be_clausified_150) ).

fof(c_0_153,axiom,
    ( lhs_atom150
    | ~ $true ),
    file('<stdin>',to_be_clausified_149) ).

fof(c_0_154,axiom,
    ( lhs_atom149
    | ~ $true ),
    file('<stdin>',to_be_clausified_148) ).

fof(c_0_155,axiom,
    ( lhs_atom148
    | ~ $true ),
    file('<stdin>',to_be_clausified_147) ).

fof(c_0_156,axiom,
    ( lhs_atom146
    | ~ $true ),
    file('<stdin>',to_be_clausified_145) ).

fof(c_0_157,axiom,
    ( lhs_atom143
    | ~ $true ),
    file('<stdin>',to_be_clausified_142) ).

fof(c_0_158,axiom,
    ( lhs_atom140
    | ~ $true ),
    file('<stdin>',to_be_clausified_139) ).

fof(c_0_159,axiom,
    ( lhs_atom128
    | ~ $true ),
    file('<stdin>',to_be_clausified_127) ).

fof(c_0_160,plain,
    ! [X11,X12,X13,X6,X7,X8,X9,X14,X4] : lhs_atom26(X11,X12,X13,X6,X7,X8,X9,X14,X4),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_161,plain,
    ! [X11,X12,X13,X6,X7,X8,X9,X14,X4] : lhs_atom3(X11,X12,X13,X6,X7,X8,X9,X14,X4),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_162,plain,
    ! [X15,X12,X16,X13,X6,X8,X2,X4] : lhs_atom127(X15,X12,X16,X13,X6,X8,X2,X4),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_163,plain,
    ! [X15,X12,X16,X13,X6,X8,X2,X4] : lhs_atom126(X15,X12,X16,X13,X6,X8,X2,X4),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_164,plain,
    ! [X11,X12,X13,X6,X8,X2,X14,X4] : lhs_atom109(X11,X12,X13,X6,X8,X2,X14,X4),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_165,plain,
    ! [X11,X20,X6,X7,X8,X9,X14,X4] : lhs_atom92(X11,X20,X6,X7,X8,X9,X14,X4),
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

fof(c_0_166,plain,
    ! [X15,X12,X16,X13,X1,X7,X9,X4] : lhs_atom86(X15,X12,X16,X13,X1,X7,X9,X4),
    inference(fof_simplification,[status(thm)],[c_0_6]) ).

fof(c_0_167,plain,
    ! [X15,X16,X6,X7,X8,X9,X10,X4] : lhs_atom74(X15,X16,X6,X7,X8,X9,X10,X4),
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

fof(c_0_168,plain,
    ! [X11,X6,X7,X8,X9,X10,X14,X4] : lhs_atom68(X11,X6,X7,X8,X9,X10,X14,X4),
    inference(fof_simplification,[status(thm)],[c_0_8]) ).

fof(c_0_169,plain,
    ! [X15,X12,X16,X13,X1,X7,X9,X4] : lhs_atom66(X15,X12,X16,X13,X1,X7,X9,X4),
    inference(fof_simplification,[status(thm)],[c_0_9]) ).

fof(c_0_170,plain,
    ! [X12,X13,X5,X6,X7,X8,X9,X4] : lhs_atom65(X12,X13,X5,X6,X7,X8,X9,X4),
    inference(fof_simplification,[status(thm)],[c_0_10]) ).

fof(c_0_171,plain,
    ! [X11,X20,X6,X7,X8,X9,X14,X4] : lhs_atom55(X11,X20,X6,X7,X8,X9,X14,X4),
    inference(fof_simplification,[status(thm)],[c_0_11]) ).

fof(c_0_172,plain,
    ! [X11,X12,X13,X6,X8,X2,X14,X4] : lhs_atom40(X11,X12,X13,X6,X8,X2,X14,X4),
    inference(fof_simplification,[status(thm)],[c_0_12]) ).

fof(c_0_173,plain,
    ! [X11,X12,X13,X6,X8,X2,X14,X4] : lhs_atom38(X11,X12,X13,X6,X8,X2,X14,X4),
    inference(fof_simplification,[status(thm)],[c_0_13]) ).

fof(c_0_174,plain,
    ! [X12,X13,X5,X6,X7,X8,X9,X4] : lhs_atom28(X12,X13,X5,X6,X7,X8,X9,X4),
    inference(fof_simplification,[status(thm)],[c_0_14]) ).

fof(c_0_175,plain,
    ! [X11,X6,X7,X8,X9,X10,X14,X4] : lhs_atom16(X11,X6,X7,X8,X9,X10,X14,X4),
    inference(fof_simplification,[status(thm)],[c_0_15]) ).

fof(c_0_176,plain,
    ! [X11,X12,X13,X6,X8,X2,X14,X4] : lhs_atom9(X11,X12,X13,X6,X8,X2,X14,X4),
    inference(fof_simplification,[status(thm)],[c_0_16]) ).

fof(c_0_177,plain,
    ! [X15,X16,X6,X7,X8,X9,X10,X4] : lhs_atom4(X15,X16,X6,X7,X8,X9,X10,X4),
    inference(fof_simplification,[status(thm)],[c_0_17]) ).

fof(c_0_178,plain,
    ! [X12,X13,X6,X7,X8,X9,X4] : lhs_atom147(X12,X13,X6,X7,X8,X9,X4),
    inference(fof_simplification,[status(thm)],[c_0_18]) ).

fof(c_0_179,plain,
    ! [X12,X13,X6,X7,X8,X9,X4] : lhs_atom141(X12,X13,X6,X7,X8,X9,X4),
    inference(fof_simplification,[status(thm)],[c_0_19]) ).

fof(c_0_180,plain,
    ! [X11,X6,X7,X8,X9,X14,X4] : lhs_atom120(X11,X6,X7,X8,X9,X14,X4),
    inference(fof_simplification,[status(thm)],[c_0_20]) ).

fof(c_0_181,plain,
    ! [X11,X6,X7,X8,X9,X14,X4] : lhs_atom119(X11,X6,X7,X8,X9,X14,X4),
    inference(fof_simplification,[status(thm)],[c_0_21]) ).

fof(c_0_182,plain,
    ! [X15,X16,X1,X7,X9,X10,X4] : lhs_atom117(X15,X16,X1,X7,X9,X10,X4),
    inference(fof_simplification,[status(thm)],[c_0_22]) ).

fof(c_0_183,plain,
    ! [X11,X6,X8,X2,X14,X3,X4] : lhs_atom116(X11,X6,X8,X2,X14,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_23]) ).

fof(c_0_184,plain,
    ! [X5,X6,X7,X8,X9,X10,X4] : lhs_atom102(X5,X6,X7,X8,X9,X10,X4),
    inference(fof_simplification,[status(thm)],[c_0_24]) ).

fof(c_0_185,plain,
    ! [X15,X12,X16,X13,X1,X2,X4] : lhs_atom97(X15,X12,X16,X13,X1,X2,X4),
    inference(fof_simplification,[status(thm)],[c_0_25]) ).

fof(c_0_186,plain,
    ! [X15,X16,X18,X6,X8,X2,X4] : lhs_atom91(X15,X16,X18,X6,X8,X2,X4),
    inference(fof_simplification,[status(thm)],[c_0_26]) ).

fof(c_0_187,plain,
    ! [X11,X18,X6,X8,X2,X14,X4] : lhs_atom84(X11,X18,X6,X8,X2,X14,X4),
    inference(fof_simplification,[status(thm)],[c_0_27]) ).

fof(c_0_188,plain,
    ! [X15,X12,X16,X13,X1,X2,X4] : lhs_atom76(X15,X12,X16,X13,X1,X2,X4),
    inference(fof_simplification,[status(thm)],[c_0_28]) ).

fof(c_0_189,plain,
    ! [X11,X6,X8,X2,X14,X3,X4] : lhs_atom75(X11,X6,X8,X2,X14,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_29]) ).

fof(c_0_190,plain,
    ! [X12,X13,X5,X6,X8,X2,X4] : lhs_atom61(X12,X13,X5,X6,X8,X2,X4),
    inference(fof_simplification,[status(thm)],[c_0_30]) ).

fof(c_0_191,plain,
    ! [X15,X16,X1,X7,X9,X10,X4] : lhs_atom48(X15,X16,X1,X7,X9,X10,X4),
    inference(fof_simplification,[status(thm)],[c_0_31]) ).

fof(c_0_192,plain,
    ! [X15,X16,X6,X8,X2,X3,X4] : lhs_atom44(X15,X16,X6,X8,X2,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_32]) ).

fof(c_0_193,plain,
    ! [X12,X13,X5,X6,X8,X2,X4] : lhs_atom41(X12,X13,X5,X6,X8,X2,X4),
    inference(fof_simplification,[status(thm)],[c_0_33]) ).

fof(c_0_194,plain,
    ! [X12,X13,X5,X6,X8,X2,X4] : lhs_atom39(X12,X13,X5,X6,X8,X2,X4),
    inference(fof_simplification,[status(thm)],[c_0_34]) ).

fof(c_0_195,plain,
    ! [X15,X16,X18,X6,X8,X2,X4] : lhs_atom35(X15,X16,X18,X6,X8,X2,X4),
    inference(fof_simplification,[status(thm)],[c_0_35]) ).

fof(c_0_196,plain,
    ! [X11,X18,X6,X8,X2,X14,X4] : lhs_atom34(X11,X18,X6,X8,X2,X14,X4),
    inference(fof_simplification,[status(thm)],[c_0_36]) ).

fof(c_0_197,plain,
    ! [X15,X16,X6,X8,X2,X3,X4] : lhs_atom32(X15,X16,X6,X8,X2,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_37]) ).

fof(c_0_198,plain,
    ! [X12,X13,X5,X6,X8,X2,X4] : lhs_atom23(X12,X13,X5,X6,X8,X2,X4),
    inference(fof_simplification,[status(thm)],[c_0_38]) ).

fof(c_0_199,plain,
    ! [X15,X16,X1,X7,X9,X10,X4] : lhs_atom21(X15,X16,X1,X7,X9,X10,X4),
    inference(fof_simplification,[status(thm)],[c_0_39]) ).

fof(c_0_200,plain,
    ! [X15,X16,X1,X7,X9,X10,X4] : lhs_atom20(X15,X16,X1,X7,X9,X10,X4),
    inference(fof_simplification,[status(thm)],[c_0_40]) ).

fof(c_0_201,plain,
    ! [X5,X6,X7,X8,X9,X10,X4] : lhs_atom2(X5,X6,X7,X8,X9,X10,X4),
    inference(fof_simplification,[status(thm)],[c_0_41]) ).

fof(c_0_202,plain,
    ! [X33,X27,X28,X30,X43,X44] : lhs_atom134(X33,X27,X28,X30,X43,X44),
    inference(fof_simplification,[status(thm)],[c_0_42]) ).

fof(c_0_203,plain,
    ! [X27,X32,X28,X30,X43,X44] : lhs_atom131(X27,X32,X28,X30,X43,X44),
    inference(fof_simplification,[status(thm)],[c_0_43]) ).

fof(c_0_204,plain,
    ! [X12,X13,X6,X8,X2,X4] : lhs_atom130(X12,X13,X6,X8,X2,X4),
    inference(fof_simplification,[status(thm)],[c_0_44]) ).

fof(c_0_205,plain,
    ! [X12,X13,X6,X8,X2,X4] : lhs_atom123(X12,X13,X6,X8,X2,X4),
    inference(fof_simplification,[status(thm)],[c_0_45]) ).

fof(c_0_206,plain,
    ! [X12,X13,X6,X8,X2,X4] : lhs_atom121(X12,X13,X6,X8,X2,X4),
    inference(fof_simplification,[status(thm)],[c_0_46]) ).

fof(c_0_207,plain,
    ! [X5,X6,X8,X2,X3,X4] : lhs_atom115(X5,X6,X8,X2,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_47]) ).

fof(c_0_208,plain,
    ! [X17,X15,X16,X6,X8,X4] : lhs_atom114(X17,X15,X16,X6,X8,X4),
    inference(fof_simplification,[status(thm)],[c_0_48]) ).

fof(c_0_209,plain,
    ! [X17,X11,X6,X8,X14,X4] : lhs_atom112(X17,X11,X6,X8,X14,X4),
    inference(fof_simplification,[status(thm)],[c_0_49]) ).

fof(c_0_210,plain,
    ! [X15,X16,X18,X1,X2,X4] : lhs_atom98(X15,X16,X18,X1,X2,X4),
    inference(fof_simplification,[status(thm)],[c_0_50]) ).

fof(c_0_211,plain,
    ! [X5,X6,X8,X2,X3,X4] : lhs_atom90(X5,X6,X8,X2,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_51]) ).

fof(c_0_212,plain,
    ! [X18,X5,X6,X8,X2,X4] : lhs_atom89(X18,X5,X6,X8,X2,X4),
    inference(fof_simplification,[status(thm)],[c_0_52]) ).

fof(c_0_213,plain,
    ! [X17,X11,X6,X8,X14,X4] : lhs_atom88(X17,X11,X6,X8,X14,X4),
    inference(fof_simplification,[status(thm)],[c_0_53]) ).

fof(c_0_214,plain,
    ! [X6,X7,X8,X9,X10,X4] : lhs_atom87(X6,X7,X8,X9,X10,X4),
    inference(fof_simplification,[status(thm)],[c_0_54]) ).

fof(c_0_215,plain,
    ! [X6,X7,X8,X9,X10,X4] : lhs_atom85(X6,X7,X8,X9,X10,X4),
    inference(fof_simplification,[status(thm)],[c_0_55]) ).

fof(c_0_216,plain,
    ! [X11,X6,X8,X2,X14,X4] : lhs_atom82(X11,X6,X8,X2,X14,X4),
    inference(fof_simplification,[status(thm)],[c_0_56]) ).

fof(c_0_217,plain,
    ! [X15,X16,X1,X2,X3,X4] : lhs_atom81(X15,X16,X1,X2,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_57]) ).

fof(c_0_218,plain,
    ! [X33,X27,X32,X29,X30,X31] : lhs_atom72(X33,X27,X32,X29,X30,X31),
    inference(fof_simplification,[status(thm)],[c_0_58]) ).

fof(c_0_219,plain,
    ! [X15,X16,X18,X1,X2,X4] : lhs_atom71(X15,X16,X18,X1,X2,X4),
    inference(fof_simplification,[status(thm)],[c_0_59]) ).

fof(c_0_220,plain,
    ! [X1,X7,X9,X10,X14,X4] : lhs_atom69(X1,X7,X9,X10,X14,X4),
    inference(fof_simplification,[status(thm)],[c_0_60]) ).

fof(c_0_221,plain,
    ! [X12,X13,X1,X7,X9,X4] : lhs_atom67(X12,X13,X1,X7,X9,X4),
    inference(fof_simplification,[status(thm)],[c_0_61]) ).

fof(c_0_222,plain,
    ! [X12,X13,X1,X7,X9,X4] : lhs_atom56(X12,X13,X1,X7,X9,X4),
    inference(fof_simplification,[status(thm)],[c_0_62]) ).

fof(c_0_223,plain,
    ! [X11,X6,X8,X2,X14,X4] : lhs_atom53(X11,X6,X8,X2,X14,X4),
    inference(fof_simplification,[status(thm)],[c_0_63]) ).

fof(c_0_224,plain,
    ! [X15,X16,X18,X1,X2,X4] : lhs_atom50(X15,X16,X18,X1,X2,X4),
    inference(fof_simplification,[status(thm)],[c_0_64]) ).

fof(c_0_225,plain,
    ! [X15,X16,X18,X1,X2,X4] : lhs_atom49(X15,X16,X18,X1,X2,X4),
    inference(fof_simplification,[status(thm)],[c_0_65]) ).

fof(c_0_226,plain,
    ! [X15,X16,X1,X2,X3,X4] : lhs_atom47(X15,X16,X1,X2,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_66]) ).

fof(c_0_227,plain,
    ! [X15,X16,X1,X2,X3,X4] : lhs_atom46(X15,X16,X1,X2,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_67]) ).

fof(c_0_228,plain,
    ! [X17,X15,X16,X6,X8,X4] : lhs_atom45(X17,X15,X16,X6,X8,X4),
    inference(fof_simplification,[status(thm)],[c_0_68]) ).

fof(c_0_229,plain,
    ! [X18,X5,X6,X8,X2,X4] : lhs_atom36(X18,X5,X6,X8,X2,X4),
    inference(fof_simplification,[status(thm)],[c_0_69]) ).

fof(c_0_230,plain,
    ! [X15,X16,X1,X2,X3,X4] : lhs_atom30(X15,X16,X1,X2,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_70]) ).

fof(c_0_231,plain,
    ! [X5,X6,X7,X8,X9,X4] : lhs_atom29(X5,X6,X7,X8,X9,X4),
    inference(fof_simplification,[status(thm)],[c_0_71]) ).

fof(c_0_232,plain,
    ! [X12,X13,X6,X8,X2,X4] : lhs_atom25(X12,X13,X6,X8,X2,X4),
    inference(fof_simplification,[status(thm)],[c_0_72]) ).

fof(c_0_233,plain,
    ! [X1,X7,X9,X10,X14,X4] : lhs_atom22(X1,X7,X9,X10,X14,X4),
    inference(fof_simplification,[status(thm)],[c_0_73]) ).

fof(c_0_234,plain,
    ! [X18,X6,X8,X2,X19,X4] : lhs_atom18(X18,X6,X8,X2,X19,X4),
    inference(fof_simplification,[status(thm)],[c_0_74]) ).

fof(c_0_235,plain,
    ! [X5,X6,X7,X8,X9,X4] : lhs_atom15(X5,X6,X7,X8,X9,X4),
    inference(fof_simplification,[status(thm)],[c_0_75]) ).

fof(c_0_236,plain,
    ! [X18,X6,X8,X2,X19,X4] : lhs_atom6(X18,X6,X8,X2,X19,X4),
    inference(fof_simplification,[status(thm)],[c_0_76]) ).

fof(c_0_237,plain,
    ! [X27,X28,X30,X43,X44] : lhs_atom133(X27,X28,X30,X43,X44),
    inference(fof_simplification,[status(thm)],[c_0_77]) ).

fof(c_0_238,plain,
    ! [X18,X1,X2,X14,X4] : lhs_atom113(X18,X1,X2,X14,X4),
    inference(fof_simplification,[status(thm)],[c_0_78]) ).

fof(c_0_239,plain,
    ! [X18,X6,X8,X2,X4] : lhs_atom110(X18,X6,X8,X2,X4),
    inference(fof_simplification,[status(thm)],[c_0_79]) ).

fof(c_0_240,plain,
    ! [X17,X15,X16,X1,X4] : lhs_atom108(X17,X15,X16,X1,X4),
    inference(fof_simplification,[status(thm)],[c_0_80]) ).

fof(c_0_241,plain,
    ! [X17,X15,X16,X1,X4] : lhs_atom107(X17,X15,X16,X1,X4),
    inference(fof_simplification,[status(thm)],[c_0_81]) ).

fof(c_0_242,plain,
    ! [X42,X27,X28,X10,X30] : lhs_atom104(X42,X27,X28,X10,X30),
    inference(fof_simplification,[status(thm)],[c_0_82]) ).

fof(c_0_243,plain,
    ! [X27,X40,X28,X30,X41] : lhs_atom101(X27,X40,X28,X30,X41),
    inference(fof_simplification,[status(thm)],[c_0_83]) ).

fof(c_0_244,plain,
    ! [X17,X6,X8,X19,X4] : lhs_atom99(X17,X6,X8,X19,X4),
    inference(fof_simplification,[status(thm)],[c_0_84]) ).

fof(c_0_245,plain,
    ! [X1,X7,X9,X10,X4] : lhs_atom94(X1,X7,X9,X10,X4),
    inference(fof_simplification,[status(thm)],[c_0_85]) ).

fof(c_0_246,plain,
    ! [X18,X6,X8,X2,X4] : lhs_atom80(X18,X6,X8,X2,X4),
    inference(fof_simplification,[status(thm)],[c_0_86]) ).

fof(c_0_247,plain,
    ! [X27,X32,X36,X28,X30] : lhs_atom79(X27,X32,X36,X28,X30),
    inference(fof_simplification,[status(thm)],[c_0_87]) ).

fof(c_0_248,plain,
    ! [X12,X13,X1,X2,X4] : lhs_atom77(X12,X13,X1,X2,X4),
    inference(fof_simplification,[status(thm)],[c_0_88]) ).

fof(c_0_249,plain,
    ! [X1,X7,X9,X10,X4] : lhs_atom64(X1,X7,X9,X10,X4),
    inference(fof_simplification,[status(thm)],[c_0_89]) ).

fof(c_0_250,plain,
    ! [X17,X15,X16,X1,X4] : lhs_atom63(X17,X15,X16,X1,X4),
    inference(fof_simplification,[status(thm)],[c_0_90]) ).

fof(c_0_251,plain,
    ! [X27,X32,X28,X10,X30] : lhs_atom62(X27,X32,X28,X10,X30),
    inference(fof_simplification,[status(thm)],[c_0_91]) ).

fof(c_0_252,plain,
    ! [X12,X13,X1,X2,X4] : lhs_atom60(X12,X13,X1,X2,X4),
    inference(fof_simplification,[status(thm)],[c_0_92]) ).

fof(c_0_253,plain,
    ! [X12,X13,X1,X2,X4] : lhs_atom59(X12,X13,X1,X2,X4),
    inference(fof_simplification,[status(thm)],[c_0_93]) ).

fof(c_0_254,plain,
    ! [X17,X15,X16,X1,X4] : lhs_atom54(X17,X15,X16,X1,X4),
    inference(fof_simplification,[status(thm)],[c_0_94]) ).

fof(c_0_255,plain,
    ! [X17,X5,X6,X8,X4] : lhs_atom52(X17,X5,X6,X8,X4),
    inference(fof_simplification,[status(thm)],[c_0_95]) ).

fof(c_0_256,plain,
    ! [X17,X5,X6,X8,X4] : lhs_atom43(X17,X5,X6,X8,X4),
    inference(fof_simplification,[status(thm)],[c_0_96]) ).

fof(c_0_257,plain,
    ! [X18,X1,X2,X14,X4] : lhs_atom37(X18,X1,X2,X14,X4),
    inference(fof_simplification,[status(thm)],[c_0_97]) ).

fof(c_0_258,plain,
    ! [X12,X13,X1,X2,X4] : lhs_atom33(X12,X13,X1,X2,X4),
    inference(fof_simplification,[status(thm)],[c_0_98]) ).

fof(c_0_259,plain,
    ! [X17,X6,X8,X19,X4] : lhs_atom27(X17,X6,X8,X19,X4),
    inference(fof_simplification,[status(thm)],[c_0_99]) ).

fof(c_0_260,plain,
    ! [X6,X8,X2,X3,X4] : lhs_atom19(X6,X8,X2,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_100]) ).

fof(c_0_261,plain,
    ! [X6,X8,X2,X3,X4] : lhs_atom14(X6,X8,X2,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_101]) ).

fof(c_0_262,plain,
    ! [X1,X20,X7,X9,X4] : lhs_atom10(X1,X20,X7,X9,X4),
    inference(fof_simplification,[status(thm)],[c_0_102]) ).

fof(c_0_263,plain,
    ! [X21,X22,X23,X24,X4] : lhs_atom8(X21,X22,X23,X24,X4),
    inference(fof_simplification,[status(thm)],[c_0_103]) ).

fof(c_0_264,plain,
    ! [X1,X20,X7,X9,X4] : lhs_atom7(X1,X20,X7,X9,X4),
    inference(fof_simplification,[status(thm)],[c_0_104]) ).

fof(c_0_265,plain,
    ! [X33,X27,X32,X30] : lhs_atom136(X33,X27,X32,X30),
    inference(fof_simplification,[status(thm)],[c_0_105]) ).

fof(c_0_266,plain,
    ! [X27,X32,X28,X30] : lhs_atom135(X27,X32,X28,X30),
    inference(fof_simplification,[status(thm)],[c_0_106]) ).

fof(c_0_267,plain,
    ! [X17,X6,X8,X4] : lhs_atom118(X17,X6,X8,X4),
    inference(fof_simplification,[status(thm)],[c_0_107]) ).

fof(c_0_268,plain,
    ! [X26,X18,X2,X4] : lhs_atom111(X26,X18,X2,X4),
    inference(fof_simplification,[status(thm)],[c_0_108]) ).

fof(c_0_269,plain,
    ! [X1,X2,X3,X4] : lhs_atom100(X1,X2,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_109]) ).

fof(c_0_270,plain,
    ! [X1,X7,X9,X4] : lhs_atom93(X1,X7,X9,X4),
    inference(fof_simplification,[status(thm)],[c_0_110]) ).

fof(c_0_271,plain,
    ! [X34,X35,X24,X4] : lhs_atom78(X34,X35,X24,X4),
    inference(fof_simplification,[status(thm)],[c_0_111]) ).

fof(c_0_272,plain,
    ! [X17,X6,X8,X4] : lhs_atom70(X17,X6,X8,X4),
    inference(fof_simplification,[status(thm)],[c_0_112]) ).

fof(c_0_273,plain,
    ! [X17,X1,X14,X4] : lhs_atom58(X17,X1,X14,X4),
    inference(fof_simplification,[status(thm)],[c_0_113]) ).

fof(c_0_274,plain,
    ! [X18,X1,X2,X4] : lhs_atom57(X18,X1,X2,X4),
    inference(fof_simplification,[status(thm)],[c_0_114]) ).

fof(c_0_275,plain,
    ! [X1,X7,X9,X4] : lhs_atom42(X1,X7,X9,X4),
    inference(fof_simplification,[status(thm)],[c_0_115]) ).

fof(c_0_276,plain,
    ! [X27,X28,X30,X31] : lhs_atom24(X27,X28,X30,X31),
    inference(fof_simplification,[status(thm)],[c_0_116]) ).

fof(c_0_277,plain,
    ! [X27,X28,X29,X30] : lhs_atom17(X27,X28,X29,X30),
    inference(fof_simplification,[status(thm)],[c_0_117]) ).

fof(c_0_278,plain,
    ! [X26,X18,X2,X4] : lhs_atom13(X26,X18,X2,X4),
    inference(fof_simplification,[status(thm)],[c_0_118]) ).

fof(c_0_279,plain,
    ! [X18,X1,X2,X4] : lhs_atom12(X18,X1,X2,X4),
    inference(fof_simplification,[status(thm)],[c_0_119]) ).

fof(c_0_280,plain,
    ! [X17,X1,X14,X4] : lhs_atom5(X17,X1,X14,X4),
    inference(fof_simplification,[status(thm)],[c_0_120]) ).

fof(c_0_281,plain,
    ! [X1,X2,X3,X4] : lhs_atom1(X1,X2,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_121]) ).

fof(c_0_282,plain,
    ! [X35,X24,X4] : lhs_atom145(X35,X24,X4),
    inference(fof_simplification,[status(thm)],[c_0_122]) ).

fof(c_0_283,plain,
    ! [X30,X31,X4] : lhs_atom139(X30,X31,X4),
    inference(fof_simplification,[status(thm)],[c_0_123]) ).

fof(c_0_284,plain,
    ! [X45,X30,X4] : lhs_atom137(X45,X30,X4),
    inference(fof_simplification,[status(thm)],[c_0_124]) ).

fof(c_0_285,plain,
    ! [X27,X28,X30] : lhs_atom129(X27,X28,X30),
    inference(fof_simplification,[status(thm)],[c_0_125]) ).

fof(c_0_286,plain,
    ! [X17,X1,X4] : lhs_atom103(X17,X1,X4),
    inference(fof_simplification,[status(thm)],[c_0_126]) ).

fof(c_0_287,plain,
    ! [X39,X3,X4] : lhs_atom96(X39,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_127]) ).

fof(c_0_288,plain,
    ! [X37,X38,X4] : lhs_atom95(X37,X38,X4),
    inference(fof_simplification,[status(thm)],[c_0_128]) ).

fof(c_0_289,plain,
    ! [X33,X27,X30] : lhs_atom83(X33,X27,X30),
    inference(fof_simplification,[status(thm)],[c_0_129]) ).

fof(c_0_290,plain,
    ! [X17,X1,X4] : lhs_atom73(X17,X1,X4),
    inference(fof_simplification,[status(thm)],[c_0_130]) ).

fof(c_0_291,plain,
    ! [X37,X4] : lhs_atom159(X37,X4),
    inference(fof_simplification,[status(thm)],[c_0_131]) ).

fof(c_0_292,plain,
    ! [X30,X4] : lhs_atom144(X30,X4),
    inference(fof_simplification,[status(thm)],[c_0_132]) ).

fof(c_0_293,plain,
    ! [X39,X4] : lhs_atom122(X39,X4),
    inference(fof_simplification,[status(thm)],[c_0_133]) ).

fof(c_0_294,plain,
    ! [X25,X4] : lhs_atom106(X25,X4),
    inference(fof_simplification,[status(thm)],[c_0_134]) ).

fof(c_0_295,plain,
    ! [X37,X4] : lhs_atom105(X37,X4),
    inference(fof_simplification,[status(thm)],[c_0_135]) ).

fof(c_0_296,plain,
    ! [X25,X4] : lhs_atom51(X25,X4),
    inference(fof_simplification,[status(thm)],[c_0_136]) ).

fof(c_0_297,plain,
    ! [X25,X4] : lhs_atom31(X25,X4),
    inference(fof_simplification,[status(thm)],[c_0_137]) ).

fof(c_0_298,plain,
    ! [X25,X4] : lhs_atom11(X25,X4),
    inference(fof_simplification,[status(thm)],[c_0_138]) ).

fof(c_0_299,plain,
    ! [X46] : lhs_atom142(X46),
    inference(fof_simplification,[status(thm)],[c_0_139]) ).

fof(c_0_300,plain,
    ! [X11] : lhs_atom138(X11),
    inference(fof_simplification,[status(thm)],[c_0_140]) ).

fof(c_0_301,plain,
    ! [X11] : lhs_atom132(X11),
    inference(fof_simplification,[status(thm)],[c_0_141]) ).

fof(c_0_302,plain,
    ! [X11] : lhs_atom125(X11),
    inference(fof_simplification,[status(thm)],[c_0_142]) ).

fof(c_0_303,plain,
    ! [X11] : lhs_atom124(X11),
    inference(fof_simplification,[status(thm)],[c_0_143]) ).

fof(c_0_304,plain,
    lhs_atom158,
    inference(fof_simplification,[status(thm)],[c_0_144]) ).

fof(c_0_305,plain,
    lhs_atom157,
    inference(fof_simplification,[status(thm)],[c_0_145]) ).

fof(c_0_306,plain,
    lhs_atom156,
    inference(fof_simplification,[status(thm)],[c_0_146]) ).

fof(c_0_307,plain,
    lhs_atom155,
    inference(fof_simplification,[status(thm)],[c_0_147]) ).

fof(c_0_308,plain,
    lhs_atom154,
    inference(fof_simplification,[status(thm)],[c_0_148]) ).

fof(c_0_309,plain,
    lhs_atom153,
    inference(fof_simplification,[status(thm)],[c_0_149]) ).

fof(c_0_310,plain,
    lhs_atom152,
    inference(fof_simplification,[status(thm)],[c_0_150]) ).

fof(c_0_311,plain,
    lhs_atom150,
    inference(fof_simplification,[status(thm)],[c_0_151]) ).

fof(c_0_312,plain,
    lhs_atom151,
    inference(fof_simplification,[status(thm)],[c_0_152]) ).

fof(c_0_313,plain,
    lhs_atom150,
    inference(fof_simplification,[status(thm)],[c_0_153]) ).

fof(c_0_314,plain,
    lhs_atom149,
    inference(fof_simplification,[status(thm)],[c_0_154]) ).

fof(c_0_315,plain,
    lhs_atom148,
    inference(fof_simplification,[status(thm)],[c_0_155]) ).

fof(c_0_316,plain,
    lhs_atom146,
    inference(fof_simplification,[status(thm)],[c_0_156]) ).

fof(c_0_317,plain,
    lhs_atom143,
    inference(fof_simplification,[status(thm)],[c_0_157]) ).

fof(c_0_318,plain,
    lhs_atom140,
    inference(fof_simplification,[status(thm)],[c_0_158]) ).

fof(c_0_319,plain,
    lhs_atom128,
    inference(fof_simplification,[status(thm)],[c_0_159]) ).

fof(c_0_320,plain,
    ! [X15,X16,X17,X18,X19,X20,X21,X22,X23] : lhs_atom26(X15,X16,X17,X18,X19,X20,X21,X22,X23),
    inference(variable_rename,[status(thm)],[c_0_160]) ).

fof(c_0_321,plain,
    ! [X15,X16,X17,X18,X19,X20,X21,X22,X23] : lhs_atom3(X15,X16,X17,X18,X19,X20,X21,X22,X23),
    inference(variable_rename,[status(thm)],[c_0_161]) ).

fof(c_0_322,plain,
    ! [X17,X18,X19,X20,X21,X22,X23,X24] : lhs_atom127(X17,X18,X19,X20,X21,X22,X23,X24),
    inference(variable_rename,[status(thm)],[c_0_162]) ).

fof(c_0_323,plain,
    ! [X17,X18,X19,X20,X21,X22,X23,X24] : lhs_atom126(X17,X18,X19,X20,X21,X22,X23,X24),
    inference(variable_rename,[status(thm)],[c_0_163]) ).

fof(c_0_324,plain,
    ! [X15,X16,X17,X18,X19,X20,X21,X22] : lhs_atom109(X15,X16,X17,X18,X19,X20,X21,X22),
    inference(variable_rename,[status(thm)],[c_0_164]) ).

fof(c_0_325,plain,
    ! [X21,X22,X23,X24,X25,X26,X27,X28] : lhs_atom92(X21,X22,X23,X24,X25,X26,X27,X28),
    inference(variable_rename,[status(thm)],[c_0_165]) ).

fof(c_0_326,plain,
    ! [X17,X18,X19,X20,X21,X22,X23,X24] : lhs_atom86(X17,X18,X19,X20,X21,X22,X23,X24),
    inference(variable_rename,[status(thm)],[c_0_166]) ).

fof(c_0_327,plain,
    ! [X17,X18,X19,X20,X21,X22,X23,X24] : lhs_atom74(X17,X18,X19,X20,X21,X22,X23,X24),
    inference(variable_rename,[status(thm)],[c_0_167]) ).

fof(c_0_328,plain,
    ! [X15,X16,X17,X18,X19,X20,X21,X22] : lhs_atom68(X15,X16,X17,X18,X19,X20,X21,X22),
    inference(variable_rename,[status(thm)],[c_0_168]) ).

fof(c_0_329,plain,
    ! [X17,X18,X19,X20,X21,X22,X23,X24] : lhs_atom66(X17,X18,X19,X20,X21,X22,X23,X24),
    inference(variable_rename,[status(thm)],[c_0_169]) ).

fof(c_0_330,plain,
    ! [X14,X15,X16,X17,X18,X19,X20,X21] : lhs_atom65(X14,X15,X16,X17,X18,X19,X20,X21),
    inference(variable_rename,[status(thm)],[c_0_170]) ).

fof(c_0_331,plain,
    ! [X21,X22,X23,X24,X25,X26,X27,X28] : lhs_atom55(X21,X22,X23,X24,X25,X26,X27,X28),
    inference(variable_rename,[status(thm)],[c_0_171]) ).

fof(c_0_332,plain,
    ! [X15,X16,X17,X18,X19,X20,X21,X22] : lhs_atom40(X15,X16,X17,X18,X19,X20,X21,X22),
    inference(variable_rename,[status(thm)],[c_0_172]) ).

fof(c_0_333,plain,
    ! [X15,X16,X17,X18,X19,X20,X21,X22] : lhs_atom38(X15,X16,X17,X18,X19,X20,X21,X22),
    inference(variable_rename,[status(thm)],[c_0_173]) ).

fof(c_0_334,plain,
    ! [X14,X15,X16,X17,X18,X19,X20,X21] : lhs_atom28(X14,X15,X16,X17,X18,X19,X20,X21),
    inference(variable_rename,[status(thm)],[c_0_174]) ).

fof(c_0_335,plain,
    ! [X15,X16,X17,X18,X19,X20,X21,X22] : lhs_atom16(X15,X16,X17,X18,X19,X20,X21,X22),
    inference(variable_rename,[status(thm)],[c_0_175]) ).

fof(c_0_336,plain,
    ! [X15,X16,X17,X18,X19,X20,X21,X22] : lhs_atom9(X15,X16,X17,X18,X19,X20,X21,X22),
    inference(variable_rename,[status(thm)],[c_0_176]) ).

fof(c_0_337,plain,
    ! [X17,X18,X19,X20,X21,X22,X23,X24] : lhs_atom4(X17,X18,X19,X20,X21,X22,X23,X24),
    inference(variable_rename,[status(thm)],[c_0_177]) ).

fof(c_0_338,plain,
    ! [X14,X15,X16,X17,X18,X19,X20] : lhs_atom147(X14,X15,X16,X17,X18,X19,X20),
    inference(variable_rename,[status(thm)],[c_0_178]) ).

fof(c_0_339,plain,
    ! [X14,X15,X16,X17,X18,X19,X20] : lhs_atom141(X14,X15,X16,X17,X18,X19,X20),
    inference(variable_rename,[status(thm)],[c_0_179]) ).

fof(c_0_340,plain,
    ! [X15,X16,X17,X18,X19,X20,X21] : lhs_atom120(X15,X16,X17,X18,X19,X20,X21),
    inference(variable_rename,[status(thm)],[c_0_180]) ).

fof(c_0_341,plain,
    ! [X15,X16,X17,X18,X19,X20,X21] : lhs_atom119(X15,X16,X17,X18,X19,X20,X21),
    inference(variable_rename,[status(thm)],[c_0_181]) ).

fof(c_0_342,plain,
    ! [X17,X18,X19,X20,X21,X22,X23] : lhs_atom117(X17,X18,X19,X20,X21,X22,X23),
    inference(variable_rename,[status(thm)],[c_0_182]) ).

fof(c_0_343,plain,
    ! [X15,X16,X17,X18,X19,X20,X21] : lhs_atom116(X15,X16,X17,X18,X19,X20,X21),
    inference(variable_rename,[status(thm)],[c_0_183]) ).

fof(c_0_344,plain,
    ! [X11,X12,X13,X14,X15,X16,X17] : lhs_atom102(X11,X12,X13,X14,X15,X16,X17),
    inference(variable_rename,[status(thm)],[c_0_184]) ).

fof(c_0_345,plain,
    ! [X17,X18,X19,X20,X21,X22,X23] : lhs_atom97(X17,X18,X19,X20,X21,X22,X23),
    inference(variable_rename,[status(thm)],[c_0_185]) ).

fof(c_0_346,plain,
    ! [X19,X20,X21,X22,X23,X24,X25] : lhs_atom91(X19,X20,X21,X22,X23,X24,X25),
    inference(variable_rename,[status(thm)],[c_0_186]) ).

fof(c_0_347,plain,
    ! [X19,X20,X21,X22,X23,X24,X25] : lhs_atom84(X19,X20,X21,X22,X23,X24,X25),
    inference(variable_rename,[status(thm)],[c_0_187]) ).

fof(c_0_348,plain,
    ! [X17,X18,X19,X20,X21,X22,X23] : lhs_atom76(X17,X18,X19,X20,X21,X22,X23),
    inference(variable_rename,[status(thm)],[c_0_188]) ).

fof(c_0_349,plain,
    ! [X15,X16,X17,X18,X19,X20,X21] : lhs_atom75(X15,X16,X17,X18,X19,X20,X21),
    inference(variable_rename,[status(thm)],[c_0_189]) ).

fof(c_0_350,plain,
    ! [X14,X15,X16,X17,X18,X19,X20] : lhs_atom61(X14,X15,X16,X17,X18,X19,X20),
    inference(variable_rename,[status(thm)],[c_0_190]) ).

fof(c_0_351,plain,
    ! [X17,X18,X19,X20,X21,X22,X23] : lhs_atom48(X17,X18,X19,X20,X21,X22,X23),
    inference(variable_rename,[status(thm)],[c_0_191]) ).

fof(c_0_352,plain,
    ! [X17,X18,X19,X20,X21,X22,X23] : lhs_atom44(X17,X18,X19,X20,X21,X22,X23),
    inference(variable_rename,[status(thm)],[c_0_192]) ).

fof(c_0_353,plain,
    ! [X14,X15,X16,X17,X18,X19,X20] : lhs_atom41(X14,X15,X16,X17,X18,X19,X20),
    inference(variable_rename,[status(thm)],[c_0_193]) ).

fof(c_0_354,plain,
    ! [X14,X15,X16,X17,X18,X19,X20] : lhs_atom39(X14,X15,X16,X17,X18,X19,X20),
    inference(variable_rename,[status(thm)],[c_0_194]) ).

fof(c_0_355,plain,
    ! [X19,X20,X21,X22,X23,X24,X25] : lhs_atom35(X19,X20,X21,X22,X23,X24,X25),
    inference(variable_rename,[status(thm)],[c_0_195]) ).

fof(c_0_356,plain,
    ! [X19,X20,X21,X22,X23,X24,X25] : lhs_atom34(X19,X20,X21,X22,X23,X24,X25),
    inference(variable_rename,[status(thm)],[c_0_196]) ).

fof(c_0_357,plain,
    ! [X17,X18,X19,X20,X21,X22,X23] : lhs_atom32(X17,X18,X19,X20,X21,X22,X23),
    inference(variable_rename,[status(thm)],[c_0_197]) ).

fof(c_0_358,plain,
    ! [X14,X15,X16,X17,X18,X19,X20] : lhs_atom23(X14,X15,X16,X17,X18,X19,X20),
    inference(variable_rename,[status(thm)],[c_0_198]) ).

fof(c_0_359,plain,
    ! [X17,X18,X19,X20,X21,X22,X23] : lhs_atom21(X17,X18,X19,X20,X21,X22,X23),
    inference(variable_rename,[status(thm)],[c_0_199]) ).

fof(c_0_360,plain,
    ! [X17,X18,X19,X20,X21,X22,X23] : lhs_atom20(X17,X18,X19,X20,X21,X22,X23),
    inference(variable_rename,[status(thm)],[c_0_200]) ).

fof(c_0_361,plain,
    ! [X11,X12,X13,X14,X15,X16,X17] : lhs_atom2(X11,X12,X13,X14,X15,X16,X17),
    inference(variable_rename,[status(thm)],[c_0_201]) ).

fof(c_0_362,plain,
    ! [X45,X46,X47,X48,X49,X50] : lhs_atom134(X45,X46,X47,X48,X49,X50),
    inference(variable_rename,[status(thm)],[c_0_202]) ).

fof(c_0_363,plain,
    ! [X45,X46,X47,X48,X49,X50] : lhs_atom131(X45,X46,X47,X48,X49,X50),
    inference(variable_rename,[status(thm)],[c_0_203]) ).

fof(c_0_364,plain,
    ! [X14,X15,X16,X17,X18,X19] : lhs_atom130(X14,X15,X16,X17,X18,X19),
    inference(variable_rename,[status(thm)],[c_0_204]) ).

fof(c_0_365,plain,
    ! [X14,X15,X16,X17,X18,X19] : lhs_atom123(X14,X15,X16,X17,X18,X19),
    inference(variable_rename,[status(thm)],[c_0_205]) ).

fof(c_0_366,plain,
    ! [X14,X15,X16,X17,X18,X19] : lhs_atom121(X14,X15,X16,X17,X18,X19),
    inference(variable_rename,[status(thm)],[c_0_206]) ).

fof(c_0_367,plain,
    ! [X9,X10,X11,X12,X13,X14] : lhs_atom115(X9,X10,X11,X12,X13,X14),
    inference(variable_rename,[status(thm)],[c_0_207]) ).

fof(c_0_368,plain,
    ! [X18,X19,X20,X21,X22,X23] : lhs_atom114(X18,X19,X20,X21,X22,X23),
    inference(variable_rename,[status(thm)],[c_0_208]) ).

fof(c_0_369,plain,
    ! [X18,X19,X20,X21,X22,X23] : lhs_atom112(X18,X19,X20,X21,X22,X23),
    inference(variable_rename,[status(thm)],[c_0_209]) ).

fof(c_0_370,plain,
    ! [X19,X20,X21,X22,X23,X24] : lhs_atom98(X19,X20,X21,X22,X23,X24),
    inference(variable_rename,[status(thm)],[c_0_210]) ).

fof(c_0_371,plain,
    ! [X9,X10,X11,X12,X13,X14] : lhs_atom90(X9,X10,X11,X12,X13,X14),
    inference(variable_rename,[status(thm)],[c_0_211]) ).

fof(c_0_372,plain,
    ! [X19,X20,X21,X22,X23,X24] : lhs_atom89(X19,X20,X21,X22,X23,X24),
    inference(variable_rename,[status(thm)],[c_0_212]) ).

fof(c_0_373,plain,
    ! [X18,X19,X20,X21,X22,X23] : lhs_atom88(X18,X19,X20,X21,X22,X23),
    inference(variable_rename,[status(thm)],[c_0_213]) ).

fof(c_0_374,plain,
    ! [X11,X12,X13,X14,X15,X16] : lhs_atom87(X11,X12,X13,X14,X15,X16),
    inference(variable_rename,[status(thm)],[c_0_214]) ).

fof(c_0_375,plain,
    ! [X11,X12,X13,X14,X15,X16] : lhs_atom85(X11,X12,X13,X14,X15,X16),
    inference(variable_rename,[status(thm)],[c_0_215]) ).

fof(c_0_376,plain,
    ! [X15,X16,X17,X18,X19,X20] : lhs_atom82(X15,X16,X17,X18,X19,X20),
    inference(variable_rename,[status(thm)],[c_0_216]) ).

fof(c_0_377,plain,
    ! [X17,X18,X19,X20,X21,X22] : lhs_atom81(X17,X18,X19,X20,X21,X22),
    inference(variable_rename,[status(thm)],[c_0_217]) ).

fof(c_0_378,plain,
    ! [X34,X35,X36,X37,X38,X39] : lhs_atom72(X34,X35,X36,X37,X38,X39),
    inference(variable_rename,[status(thm)],[c_0_218]) ).

fof(c_0_379,plain,
    ! [X19,X20,X21,X22,X23,X24] : lhs_atom71(X19,X20,X21,X22,X23,X24),
    inference(variable_rename,[status(thm)],[c_0_219]) ).

fof(c_0_380,plain,
    ! [X15,X16,X17,X18,X19,X20] : lhs_atom69(X15,X16,X17,X18,X19,X20),
    inference(variable_rename,[status(thm)],[c_0_220]) ).

fof(c_0_381,plain,
    ! [X14,X15,X16,X17,X18,X19] : lhs_atom67(X14,X15,X16,X17,X18,X19),
    inference(variable_rename,[status(thm)],[c_0_221]) ).

fof(c_0_382,plain,
    ! [X14,X15,X16,X17,X18,X19] : lhs_atom56(X14,X15,X16,X17,X18,X19),
    inference(variable_rename,[status(thm)],[c_0_222]) ).

fof(c_0_383,plain,
    ! [X15,X16,X17,X18,X19,X20] : lhs_atom53(X15,X16,X17,X18,X19,X20),
    inference(variable_rename,[status(thm)],[c_0_223]) ).

fof(c_0_384,plain,
    ! [X19,X20,X21,X22,X23,X24] : lhs_atom50(X19,X20,X21,X22,X23,X24),
    inference(variable_rename,[status(thm)],[c_0_224]) ).

fof(c_0_385,plain,
    ! [X19,X20,X21,X22,X23,X24] : lhs_atom49(X19,X20,X21,X22,X23,X24),
    inference(variable_rename,[status(thm)],[c_0_225]) ).

fof(c_0_386,plain,
    ! [X17,X18,X19,X20,X21,X22] : lhs_atom47(X17,X18,X19,X20,X21,X22),
    inference(variable_rename,[status(thm)],[c_0_226]) ).

fof(c_0_387,plain,
    ! [X17,X18,X19,X20,X21,X22] : lhs_atom46(X17,X18,X19,X20,X21,X22),
    inference(variable_rename,[status(thm)],[c_0_227]) ).

fof(c_0_388,plain,
    ! [X18,X19,X20,X21,X22,X23] : lhs_atom45(X18,X19,X20,X21,X22,X23),
    inference(variable_rename,[status(thm)],[c_0_228]) ).

fof(c_0_389,plain,
    ! [X19,X20,X21,X22,X23,X24] : lhs_atom36(X19,X20,X21,X22,X23,X24),
    inference(variable_rename,[status(thm)],[c_0_229]) ).

fof(c_0_390,plain,
    ! [X17,X18,X19,X20,X21,X22] : lhs_atom30(X17,X18,X19,X20,X21,X22),
    inference(variable_rename,[status(thm)],[c_0_230]) ).

fof(c_0_391,plain,
    ! [X10,X11,X12,X13,X14,X15] : lhs_atom29(X10,X11,X12,X13,X14,X15),
    inference(variable_rename,[status(thm)],[c_0_231]) ).

fof(c_0_392,plain,
    ! [X14,X15,X16,X17,X18,X19] : lhs_atom25(X14,X15,X16,X17,X18,X19),
    inference(variable_rename,[status(thm)],[c_0_232]) ).

fof(c_0_393,plain,
    ! [X15,X16,X17,X18,X19,X20] : lhs_atom22(X15,X16,X17,X18,X19,X20),
    inference(variable_rename,[status(thm)],[c_0_233]) ).

fof(c_0_394,plain,
    ! [X20,X21,X22,X23,X24,X25] : lhs_atom18(X20,X21,X22,X23,X24,X25),
    inference(variable_rename,[status(thm)],[c_0_234]) ).

fof(c_0_395,plain,
    ! [X10,X11,X12,X13,X14,X15] : lhs_atom15(X10,X11,X12,X13,X14,X15),
    inference(variable_rename,[status(thm)],[c_0_235]) ).

fof(c_0_396,plain,
    ! [X20,X21,X22,X23,X24,X25] : lhs_atom6(X20,X21,X22,X23,X24,X25),
    inference(variable_rename,[status(thm)],[c_0_236]) ).

fof(c_0_397,plain,
    ! [X45,X46,X47,X48,X49] : lhs_atom133(X45,X46,X47,X48,X49),
    inference(variable_rename,[status(thm)],[c_0_237]) ).

fof(c_0_398,plain,
    ! [X19,X20,X21,X22,X23] : lhs_atom113(X19,X20,X21,X22,X23),
    inference(variable_rename,[status(thm)],[c_0_238]) ).

fof(c_0_399,plain,
    ! [X19,X20,X21,X22,X23] : lhs_atom110(X19,X20,X21,X22,X23),
    inference(variable_rename,[status(thm)],[c_0_239]) ).

fof(c_0_400,plain,
    ! [X18,X19,X20,X21,X22] : lhs_atom108(X18,X19,X20,X21,X22),
    inference(variable_rename,[status(thm)],[c_0_240]) ).

fof(c_0_401,plain,
    ! [X18,X19,X20,X21,X22] : lhs_atom107(X18,X19,X20,X21,X22),
    inference(variable_rename,[status(thm)],[c_0_241]) ).

fof(c_0_402,plain,
    ! [X43,X44,X45,X46,X47] : lhs_atom104(X43,X44,X45,X46,X47),
    inference(variable_rename,[status(thm)],[c_0_242]) ).

fof(c_0_403,plain,
    ! [X42,X43,X44,X45,X46] : lhs_atom101(X42,X43,X44,X45,X46),
    inference(variable_rename,[status(thm)],[c_0_243]) ).

fof(c_0_404,plain,
    ! [X20,X21,X22,X23,X24] : lhs_atom99(X20,X21,X22,X23,X24),
    inference(variable_rename,[status(thm)],[c_0_244]) ).

fof(c_0_405,plain,
    ! [X11,X12,X13,X14,X15] : lhs_atom94(X11,X12,X13,X14,X15),
    inference(variable_rename,[status(thm)],[c_0_245]) ).

fof(c_0_406,plain,
    ! [X19,X20,X21,X22,X23] : lhs_atom80(X19,X20,X21,X22,X23),
    inference(variable_rename,[status(thm)],[c_0_246]) ).

fof(c_0_407,plain,
    ! [X37,X38,X39,X40,X41] : lhs_atom79(X37,X38,X39,X40,X41),
    inference(variable_rename,[status(thm)],[c_0_247]) ).

fof(c_0_408,plain,
    ! [X14,X15,X16,X17,X18] : lhs_atom77(X14,X15,X16,X17,X18),
    inference(variable_rename,[status(thm)],[c_0_248]) ).

fof(c_0_409,plain,
    ! [X11,X12,X13,X14,X15] : lhs_atom64(X11,X12,X13,X14,X15),
    inference(variable_rename,[status(thm)],[c_0_249]) ).

fof(c_0_410,plain,
    ! [X18,X19,X20,X21,X22] : lhs_atom63(X18,X19,X20,X21,X22),
    inference(variable_rename,[status(thm)],[c_0_250]) ).

fof(c_0_411,plain,
    ! [X33,X34,X35,X36,X37] : lhs_atom62(X33,X34,X35,X36,X37),
    inference(variable_rename,[status(thm)],[c_0_251]) ).

fof(c_0_412,plain,
    ! [X14,X15,X16,X17,X18] : lhs_atom60(X14,X15,X16,X17,X18),
    inference(variable_rename,[status(thm)],[c_0_252]) ).

fof(c_0_413,plain,
    ! [X14,X15,X16,X17,X18] : lhs_atom59(X14,X15,X16,X17,X18),
    inference(variable_rename,[status(thm)],[c_0_253]) ).

fof(c_0_414,plain,
    ! [X18,X19,X20,X21,X22] : lhs_atom54(X18,X19,X20,X21,X22),
    inference(variable_rename,[status(thm)],[c_0_254]) ).

fof(c_0_415,plain,
    ! [X18,X19,X20,X21,X22] : lhs_atom52(X18,X19,X20,X21,X22),
    inference(variable_rename,[status(thm)],[c_0_255]) ).

fof(c_0_416,plain,
    ! [X18,X19,X20,X21,X22] : lhs_atom43(X18,X19,X20,X21,X22),
    inference(variable_rename,[status(thm)],[c_0_256]) ).

fof(c_0_417,plain,
    ! [X19,X20,X21,X22,X23] : lhs_atom37(X19,X20,X21,X22,X23),
    inference(variable_rename,[status(thm)],[c_0_257]) ).

fof(c_0_418,plain,
    ! [X14,X15,X16,X17,X18] : lhs_atom33(X14,X15,X16,X17,X18),
    inference(variable_rename,[status(thm)],[c_0_258]) ).

fof(c_0_419,plain,
    ! [X20,X21,X22,X23,X24] : lhs_atom27(X20,X21,X22,X23,X24),
    inference(variable_rename,[status(thm)],[c_0_259]) ).

fof(c_0_420,plain,
    ! [X9,X10,X11,X12,X13] : lhs_atom19(X9,X10,X11,X12,X13),
    inference(variable_rename,[status(thm)],[c_0_260]) ).

fof(c_0_421,plain,
    ! [X9,X10,X11,X12,X13] : lhs_atom14(X9,X10,X11,X12,X13),
    inference(variable_rename,[status(thm)],[c_0_261]) ).

fof(c_0_422,plain,
    ! [X21,X22,X23,X24,X25] : lhs_atom10(X21,X22,X23,X24,X25),
    inference(variable_rename,[status(thm)],[c_0_262]) ).

fof(c_0_423,plain,
    ! [X25,X26,X27,X28,X29] : lhs_atom8(X25,X26,X27,X28,X29),
    inference(variable_rename,[status(thm)],[c_0_263]) ).

fof(c_0_424,plain,
    ! [X21,X22,X23,X24,X25] : lhs_atom7(X21,X22,X23,X24,X25),
    inference(variable_rename,[status(thm)],[c_0_264]) ).

fof(c_0_425,plain,
    ! [X34,X35,X36,X37] : lhs_atom136(X34,X35,X36,X37),
    inference(variable_rename,[status(thm)],[c_0_265]) ).

fof(c_0_426,plain,
    ! [X33,X34,X35,X36] : lhs_atom135(X33,X34,X35,X36),
    inference(variable_rename,[status(thm)],[c_0_266]) ).

fof(c_0_427,plain,
    ! [X18,X19,X20,X21] : lhs_atom118(X18,X19,X20,X21),
    inference(variable_rename,[status(thm)],[c_0_267]) ).

fof(c_0_428,plain,
    ! [X27,X28,X29,X30] : lhs_atom111(X27,X28,X29,X30),
    inference(variable_rename,[status(thm)],[c_0_268]) ).

fof(c_0_429,plain,
    ! [X5,X6,X7,X8] : lhs_atom100(X5,X6,X7,X8),
    inference(variable_rename,[status(thm)],[c_0_269]) ).

fof(c_0_430,plain,
    ! [X10,X11,X12,X13] : lhs_atom93(X10,X11,X12,X13),
    inference(variable_rename,[status(thm)],[c_0_270]) ).

fof(c_0_431,plain,
    ! [X36,X37,X38,X39] : lhs_atom78(X36,X37,X38,X39),
    inference(variable_rename,[status(thm)],[c_0_271]) ).

fof(c_0_432,plain,
    ! [X18,X19,X20,X21] : lhs_atom70(X18,X19,X20,X21),
    inference(variable_rename,[status(thm)],[c_0_272]) ).

fof(c_0_433,plain,
    ! [X18,X19,X20,X21] : lhs_atom58(X18,X19,X20,X21),
    inference(variable_rename,[status(thm)],[c_0_273]) ).

fof(c_0_434,plain,
    ! [X19,X20,X21,X22] : lhs_atom57(X19,X20,X21,X22),
    inference(variable_rename,[status(thm)],[c_0_274]) ).

fof(c_0_435,plain,
    ! [X10,X11,X12,X13] : lhs_atom42(X10,X11,X12,X13),
    inference(variable_rename,[status(thm)],[c_0_275]) ).

fof(c_0_436,plain,
    ! [X32,X33,X34,X35] : lhs_atom24(X32,X33,X34,X35),
    inference(variable_rename,[status(thm)],[c_0_276]) ).

fof(c_0_437,plain,
    ! [X31,X32,X33,X34] : lhs_atom17(X31,X32,X33,X34),
    inference(variable_rename,[status(thm)],[c_0_277]) ).

fof(c_0_438,plain,
    ! [X27,X28,X29,X30] : lhs_atom13(X27,X28,X29,X30),
    inference(variable_rename,[status(thm)],[c_0_278]) ).

fof(c_0_439,plain,
    ! [X19,X20,X21,X22] : lhs_atom12(X19,X20,X21,X22),
    inference(variable_rename,[status(thm)],[c_0_279]) ).

fof(c_0_440,plain,
    ! [X18,X19,X20,X21] : lhs_atom5(X18,X19,X20,X21),
    inference(variable_rename,[status(thm)],[c_0_280]) ).

fof(c_0_441,plain,
    ! [X5,X6,X7,X8] : lhs_atom1(X5,X6,X7,X8),
    inference(variable_rename,[status(thm)],[c_0_281]) ).

fof(c_0_442,plain,
    ! [X36,X37,X38] : lhs_atom145(X36,X37,X38),
    inference(variable_rename,[status(thm)],[c_0_282]) ).

fof(c_0_443,plain,
    ! [X32,X33,X34] : lhs_atom139(X32,X33,X34),
    inference(variable_rename,[status(thm)],[c_0_283]) ).

fof(c_0_444,plain,
    ! [X46,X47,X48] : lhs_atom137(X46,X47,X48),
    inference(variable_rename,[status(thm)],[c_0_284]) ).

fof(c_0_445,plain,
    ! [X31,X32,X33] : lhs_atom129(X31,X32,X33),
    inference(variable_rename,[status(thm)],[c_0_285]) ).

fof(c_0_446,plain,
    ! [X18,X19,X20] : lhs_atom103(X18,X19,X20),
    inference(variable_rename,[status(thm)],[c_0_286]) ).

fof(c_0_447,plain,
    ! [X40,X41,X42] : lhs_atom96(X40,X41,X42),
    inference(variable_rename,[status(thm)],[c_0_287]) ).

fof(c_0_448,plain,
    ! [X39,X40,X41] : lhs_atom95(X39,X40,X41),
    inference(variable_rename,[status(thm)],[c_0_288]) ).

fof(c_0_449,plain,
    ! [X34,X35,X36] : lhs_atom83(X34,X35,X36),
    inference(variable_rename,[status(thm)],[c_0_289]) ).

fof(c_0_450,plain,
    ! [X18,X19,X20] : lhs_atom73(X18,X19,X20),
    inference(variable_rename,[status(thm)],[c_0_290]) ).

fof(c_0_451,plain,
    ! [X38,X39] : lhs_atom159(X38,X39),
    inference(variable_rename,[status(thm)],[c_0_291]) ).

fof(c_0_452,plain,
    ! [X31,X32] : lhs_atom144(X31,X32),
    inference(variable_rename,[status(thm)],[c_0_292]) ).

fof(c_0_453,plain,
    ! [X40,X41] : lhs_atom122(X40,X41),
    inference(variable_rename,[status(thm)],[c_0_293]) ).

fof(c_0_454,plain,
    ! [X26,X27] : lhs_atom106(X26,X27),
    inference(variable_rename,[status(thm)],[c_0_294]) ).

fof(c_0_455,plain,
    ! [X38,X39] : lhs_atom105(X38,X39),
    inference(variable_rename,[status(thm)],[c_0_295]) ).

fof(c_0_456,plain,
    ! [X26,X27] : lhs_atom51(X26,X27),
    inference(variable_rename,[status(thm)],[c_0_296]) ).

fof(c_0_457,plain,
    ! [X26,X27] : lhs_atom31(X26,X27),
    inference(variable_rename,[status(thm)],[c_0_297]) ).

fof(c_0_458,plain,
    ! [X26,X27] : lhs_atom11(X26,X27),
    inference(variable_rename,[status(thm)],[c_0_298]) ).

fof(c_0_459,plain,
    ! [X47] : lhs_atom142(X47),
    inference(variable_rename,[status(thm)],[c_0_299]) ).

fof(c_0_460,plain,
    ! [X12] : lhs_atom138(X12),
    inference(variable_rename,[status(thm)],[c_0_300]) ).

fof(c_0_461,plain,
    ! [X12] : lhs_atom132(X12),
    inference(variable_rename,[status(thm)],[c_0_301]) ).

fof(c_0_462,plain,
    ! [X12] : lhs_atom125(X12),
    inference(variable_rename,[status(thm)],[c_0_302]) ).

fof(c_0_463,plain,
    ! [X12] : lhs_atom124(X12),
    inference(variable_rename,[status(thm)],[c_0_303]) ).

fof(c_0_464,plain,
    lhs_atom158,
    c_0_304 ).

fof(c_0_465,plain,
    lhs_atom157,
    c_0_305 ).

fof(c_0_466,plain,
    lhs_atom156,
    c_0_306 ).

fof(c_0_467,plain,
    lhs_atom155,
    c_0_307 ).

fof(c_0_468,plain,
    lhs_atom154,
    c_0_308 ).

fof(c_0_469,plain,
    lhs_atom153,
    c_0_309 ).

fof(c_0_470,plain,
    lhs_atom152,
    c_0_310 ).

fof(c_0_471,plain,
    lhs_atom150,
    c_0_311 ).

fof(c_0_472,plain,
    lhs_atom151,
    c_0_312 ).

fof(c_0_473,plain,
    lhs_atom150,
    c_0_313 ).

fof(c_0_474,plain,
    lhs_atom149,
    c_0_314 ).

fof(c_0_475,plain,
    lhs_atom148,
    c_0_315 ).

fof(c_0_476,plain,
    lhs_atom146,
    c_0_316 ).

fof(c_0_477,plain,
    lhs_atom143,
    c_0_317 ).

fof(c_0_478,plain,
    lhs_atom140,
    c_0_318 ).

fof(c_0_479,plain,
    lhs_atom128,
    c_0_319 ).

cnf(c_0_480,plain,
    lhs_atom26(X1,X2,X3,X4,X5,X6,X7,X8,X9),
    inference(split_conjunct,[status(thm)],[c_0_320]) ).

cnf(c_0_481,plain,
    lhs_atom3(X1,X2,X3,X4,X5,X6,X7,X8,X9),
    inference(split_conjunct,[status(thm)],[c_0_321]) ).

cnf(c_0_482,plain,
    lhs_atom127(X1,X2,X3,X4,X5,X6,X7,X8),
    inference(split_conjunct,[status(thm)],[c_0_322]) ).

cnf(c_0_483,plain,
    lhs_atom126(X1,X2,X3,X4,X5,X6,X7,X8),
    inference(split_conjunct,[status(thm)],[c_0_323]) ).

cnf(c_0_484,plain,
    lhs_atom109(X1,X2,X3,X4,X5,X6,X7,X8),
    inference(split_conjunct,[status(thm)],[c_0_324]) ).

cnf(c_0_485,plain,
    lhs_atom92(X1,X2,X3,X4,X5,X6,X7,X8),
    inference(split_conjunct,[status(thm)],[c_0_325]) ).

cnf(c_0_486,plain,
    lhs_atom86(X1,X2,X3,X4,X5,X6,X7,X8),
    inference(split_conjunct,[status(thm)],[c_0_326]) ).

cnf(c_0_487,plain,
    lhs_atom74(X1,X2,X3,X4,X5,X6,X7,X8),
    inference(split_conjunct,[status(thm)],[c_0_327]) ).

cnf(c_0_488,plain,
    lhs_atom68(X1,X2,X3,X4,X5,X6,X7,X8),
    inference(split_conjunct,[status(thm)],[c_0_328]) ).

cnf(c_0_489,plain,
    lhs_atom66(X1,X2,X3,X4,X5,X6,X7,X8),
    inference(split_conjunct,[status(thm)],[c_0_329]) ).

cnf(c_0_490,plain,
    lhs_atom65(X1,X2,X3,X4,X5,X6,X7,X8),
    inference(split_conjunct,[status(thm)],[c_0_330]) ).

cnf(c_0_491,plain,
    lhs_atom55(X1,X2,X3,X4,X5,X6,X7,X8),
    inference(split_conjunct,[status(thm)],[c_0_331]) ).

cnf(c_0_492,plain,
    lhs_atom40(X1,X2,X3,X4,X5,X6,X7,X8),
    inference(split_conjunct,[status(thm)],[c_0_332]) ).

cnf(c_0_493,plain,
    lhs_atom38(X1,X2,X3,X4,X5,X6,X7,X8),
    inference(split_conjunct,[status(thm)],[c_0_333]) ).

cnf(c_0_494,plain,
    lhs_atom28(X1,X2,X3,X4,X5,X6,X7,X8),
    inference(split_conjunct,[status(thm)],[c_0_334]) ).

cnf(c_0_495,plain,
    lhs_atom16(X1,X2,X3,X4,X5,X6,X7,X8),
    inference(split_conjunct,[status(thm)],[c_0_335]) ).

cnf(c_0_496,plain,
    lhs_atom9(X1,X2,X3,X4,X5,X6,X7,X8),
    inference(split_conjunct,[status(thm)],[c_0_336]) ).

cnf(c_0_497,plain,
    lhs_atom4(X1,X2,X3,X4,X5,X6,X7,X8),
    inference(split_conjunct,[status(thm)],[c_0_337]) ).

cnf(c_0_498,plain,
    lhs_atom147(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_338]) ).

cnf(c_0_499,plain,
    lhs_atom141(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_339]) ).

cnf(c_0_500,plain,
    lhs_atom120(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_340]) ).

cnf(c_0_501,plain,
    lhs_atom119(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_341]) ).

cnf(c_0_502,plain,
    lhs_atom117(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_342]) ).

cnf(c_0_503,plain,
    lhs_atom116(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_343]) ).

cnf(c_0_504,plain,
    lhs_atom102(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_344]) ).

cnf(c_0_505,plain,
    lhs_atom97(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_345]) ).

cnf(c_0_506,plain,
    lhs_atom91(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_346]) ).

cnf(c_0_507,plain,
    lhs_atom84(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_347]) ).

cnf(c_0_508,plain,
    lhs_atom76(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_348]) ).

cnf(c_0_509,plain,
    lhs_atom75(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_349]) ).

cnf(c_0_510,plain,
    lhs_atom61(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_350]) ).

cnf(c_0_511,plain,
    lhs_atom48(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_351]) ).

cnf(c_0_512,plain,
    lhs_atom44(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_352]) ).

cnf(c_0_513,plain,
    lhs_atom41(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_353]) ).

cnf(c_0_514,plain,
    lhs_atom39(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_354]) ).

cnf(c_0_515,plain,
    lhs_atom35(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_355]) ).

cnf(c_0_516,plain,
    lhs_atom34(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_356]) ).

cnf(c_0_517,plain,
    lhs_atom32(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_357]) ).

cnf(c_0_518,plain,
    lhs_atom23(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_358]) ).

cnf(c_0_519,plain,
    lhs_atom21(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_359]) ).

cnf(c_0_520,plain,
    lhs_atom20(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_360]) ).

cnf(c_0_521,plain,
    lhs_atom2(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_361]) ).

cnf(c_0_522,plain,
    lhs_atom134(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_362]) ).

cnf(c_0_523,plain,
    lhs_atom131(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_363]) ).

cnf(c_0_524,plain,
    lhs_atom130(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_364]) ).

cnf(c_0_525,plain,
    lhs_atom123(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_365]) ).

cnf(c_0_526,plain,
    lhs_atom121(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_366]) ).

cnf(c_0_527,plain,
    lhs_atom115(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_367]) ).

cnf(c_0_528,plain,
    lhs_atom114(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_368]) ).

cnf(c_0_529,plain,
    lhs_atom112(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_369]) ).

cnf(c_0_530,plain,
    lhs_atom98(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_370]) ).

cnf(c_0_531,plain,
    lhs_atom90(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_371]) ).

cnf(c_0_532,plain,
    lhs_atom89(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_372]) ).

cnf(c_0_533,plain,
    lhs_atom88(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_373]) ).

cnf(c_0_534,plain,
    lhs_atom87(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_374]) ).

cnf(c_0_535,plain,
    lhs_atom85(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_375]) ).

cnf(c_0_536,plain,
    lhs_atom82(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_376]) ).

cnf(c_0_537,plain,
    lhs_atom81(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_377]) ).

cnf(c_0_538,plain,
    lhs_atom72(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_378]) ).

cnf(c_0_539,plain,
    lhs_atom71(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_379]) ).

cnf(c_0_540,plain,
    lhs_atom69(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_380]) ).

cnf(c_0_541,plain,
    lhs_atom67(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_381]) ).

cnf(c_0_542,plain,
    lhs_atom56(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_382]) ).

cnf(c_0_543,plain,
    lhs_atom53(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_383]) ).

cnf(c_0_544,plain,
    lhs_atom50(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_384]) ).

cnf(c_0_545,plain,
    lhs_atom49(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_385]) ).

cnf(c_0_546,plain,
    lhs_atom47(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_386]) ).

cnf(c_0_547,plain,
    lhs_atom46(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_387]) ).

cnf(c_0_548,plain,
    lhs_atom45(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_388]) ).

cnf(c_0_549,plain,
    lhs_atom36(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_389]) ).

cnf(c_0_550,plain,
    lhs_atom30(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_390]) ).

cnf(c_0_551,plain,
    lhs_atom29(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_391]) ).

cnf(c_0_552,plain,
    lhs_atom25(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_392]) ).

cnf(c_0_553,plain,
    lhs_atom22(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_393]) ).

cnf(c_0_554,plain,
    lhs_atom18(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_394]) ).

cnf(c_0_555,plain,
    lhs_atom15(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_395]) ).

cnf(c_0_556,plain,
    lhs_atom6(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_396]) ).

cnf(c_0_557,plain,
    lhs_atom133(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_397]) ).

cnf(c_0_558,plain,
    lhs_atom113(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_398]) ).

cnf(c_0_559,plain,
    lhs_atom110(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_399]) ).

cnf(c_0_560,plain,
    lhs_atom108(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_400]) ).

cnf(c_0_561,plain,
    lhs_atom107(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_401]) ).

cnf(c_0_562,plain,
    lhs_atom104(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_402]) ).

cnf(c_0_563,plain,
    lhs_atom101(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_403]) ).

cnf(c_0_564,plain,
    lhs_atom99(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_404]) ).

cnf(c_0_565,plain,
    lhs_atom94(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_405]) ).

cnf(c_0_566,plain,
    lhs_atom80(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_406]) ).

cnf(c_0_567,plain,
    lhs_atom79(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_407]) ).

cnf(c_0_568,plain,
    lhs_atom77(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_408]) ).

cnf(c_0_569,plain,
    lhs_atom64(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_409]) ).

cnf(c_0_570,plain,
    lhs_atom63(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_410]) ).

cnf(c_0_571,plain,
    lhs_atom62(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_411]) ).

cnf(c_0_572,plain,
    lhs_atom60(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_412]) ).

cnf(c_0_573,plain,
    lhs_atom59(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_413]) ).

cnf(c_0_574,plain,
    lhs_atom54(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_414]) ).

cnf(c_0_575,plain,
    lhs_atom52(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_415]) ).

cnf(c_0_576,plain,
    lhs_atom43(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_416]) ).

cnf(c_0_577,plain,
    lhs_atom37(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_417]) ).

cnf(c_0_578,plain,
    lhs_atom33(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_418]) ).

cnf(c_0_579,plain,
    lhs_atom27(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_419]) ).

cnf(c_0_580,plain,
    lhs_atom19(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_420]) ).

cnf(c_0_581,plain,
    lhs_atom14(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_421]) ).

cnf(c_0_582,plain,
    lhs_atom10(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_422]) ).

cnf(c_0_583,plain,
    lhs_atom8(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_423]) ).

cnf(c_0_584,plain,
    lhs_atom7(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_424]) ).

cnf(c_0_585,plain,
    lhs_atom136(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_425]) ).

cnf(c_0_586,plain,
    lhs_atom135(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_426]) ).

cnf(c_0_587,plain,
    lhs_atom118(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_427]) ).

cnf(c_0_588,plain,
    lhs_atom111(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_428]) ).

cnf(c_0_589,plain,
    lhs_atom100(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_429]) ).

cnf(c_0_590,plain,
    lhs_atom93(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_430]) ).

cnf(c_0_591,plain,
    lhs_atom78(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_431]) ).

cnf(c_0_592,plain,
    lhs_atom70(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_432]) ).

cnf(c_0_593,plain,
    lhs_atom58(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_433]) ).

cnf(c_0_594,plain,
    lhs_atom57(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_434]) ).

cnf(c_0_595,plain,
    lhs_atom42(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_435]) ).

cnf(c_0_596,plain,
    lhs_atom24(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_436]) ).

cnf(c_0_597,plain,
    lhs_atom17(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_437]) ).

cnf(c_0_598,plain,
    lhs_atom13(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_438]) ).

cnf(c_0_599,plain,
    lhs_atom12(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_439]) ).

cnf(c_0_600,plain,
    lhs_atom5(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_440]) ).

cnf(c_0_601,plain,
    lhs_atom1(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_441]) ).

cnf(c_0_602,plain,
    lhs_atom145(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_442]) ).

cnf(c_0_603,plain,
    lhs_atom139(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_443]) ).

cnf(c_0_604,plain,
    lhs_atom137(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_444]) ).

cnf(c_0_605,plain,
    lhs_atom129(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_445]) ).

cnf(c_0_606,plain,
    lhs_atom103(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_446]) ).

cnf(c_0_607,plain,
    lhs_atom96(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_447]) ).

cnf(c_0_608,plain,
    lhs_atom95(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_448]) ).

cnf(c_0_609,plain,
    lhs_atom83(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_449]) ).

cnf(c_0_610,plain,
    lhs_atom73(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_450]) ).

cnf(c_0_611,plain,
    lhs_atom159(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_451]) ).

cnf(c_0_612,plain,
    lhs_atom144(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_452]) ).

cnf(c_0_613,plain,
    lhs_atom122(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_453]) ).

cnf(c_0_614,plain,
    lhs_atom106(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_454]) ).

cnf(c_0_615,plain,
    lhs_atom105(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_455]) ).

cnf(c_0_616,plain,
    lhs_atom51(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_456]) ).

cnf(c_0_617,plain,
    lhs_atom31(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_457]) ).

cnf(c_0_618,plain,
    lhs_atom11(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_458]) ).

cnf(c_0_619,plain,
    lhs_atom142(X1),
    inference(split_conjunct,[status(thm)],[c_0_459]) ).

cnf(c_0_620,plain,
    lhs_atom138(X1),
    inference(split_conjunct,[status(thm)],[c_0_460]) ).

cnf(c_0_621,plain,
    lhs_atom132(X1),
    inference(split_conjunct,[status(thm)],[c_0_461]) ).

cnf(c_0_622,plain,
    lhs_atom125(X1),
    inference(split_conjunct,[status(thm)],[c_0_462]) ).

cnf(c_0_623,plain,
    lhs_atom124(X1),
    inference(split_conjunct,[status(thm)],[c_0_463]) ).

cnf(c_0_624,plain,
    lhs_atom158,
    inference(split_conjunct,[status(thm)],[c_0_464]) ).

cnf(c_0_625,plain,
    lhs_atom157,
    inference(split_conjunct,[status(thm)],[c_0_465]) ).

cnf(c_0_626,plain,
    lhs_atom156,
    inference(split_conjunct,[status(thm)],[c_0_466]) ).

cnf(c_0_627,plain,
    lhs_atom155,
    inference(split_conjunct,[status(thm)],[c_0_467]) ).

cnf(c_0_628,plain,
    lhs_atom154,
    inference(split_conjunct,[status(thm)],[c_0_468]) ).

cnf(c_0_629,plain,
    lhs_atom153,
    inference(split_conjunct,[status(thm)],[c_0_469]) ).

cnf(c_0_630,plain,
    lhs_atom152,
    inference(split_conjunct,[status(thm)],[c_0_470]) ).

cnf(c_0_631,plain,
    lhs_atom150,
    inference(split_conjunct,[status(thm)],[c_0_471]) ).

cnf(c_0_632,plain,
    lhs_atom151,
    inference(split_conjunct,[status(thm)],[c_0_472]) ).

cnf(c_0_633,plain,
    lhs_atom150,
    inference(split_conjunct,[status(thm)],[c_0_473]) ).

cnf(c_0_634,plain,
    lhs_atom149,
    inference(split_conjunct,[status(thm)],[c_0_474]) ).

cnf(c_0_635,plain,
    lhs_atom148,
    inference(split_conjunct,[status(thm)],[c_0_475]) ).

cnf(c_0_636,plain,
    lhs_atom146,
    inference(split_conjunct,[status(thm)],[c_0_476]) ).

cnf(c_0_637,plain,
    lhs_atom143,
    inference(split_conjunct,[status(thm)],[c_0_477]) ).

cnf(c_0_638,plain,
    lhs_atom140,
    inference(split_conjunct,[status(thm)],[c_0_478]) ).

cnf(c_0_639,plain,
    lhs_atom128,
    inference(split_conjunct,[status(thm)],[c_0_479]) ).

cnf(c_0_640,plain,
    lhs_atom26(X1,X2,X3,X4,X5,X6,X7,X8,X9),
    c_0_480,
    [final] ).

cnf(c_0_641,plain,
    lhs_atom3(X1,X2,X3,X4,X5,X6,X7,X8,X9),
    c_0_481,
    [final] ).

cnf(c_0_642,plain,
    lhs_atom127(X1,X2,X3,X4,X5,X6,X7,X8),
    c_0_482,
    [final] ).

cnf(c_0_643,plain,
    lhs_atom126(X1,X2,X3,X4,X5,X6,X7,X8),
    c_0_483,
    [final] ).

cnf(c_0_644,plain,
    lhs_atom109(X1,X2,X3,X4,X5,X6,X7,X8),
    c_0_484,
    [final] ).

cnf(c_0_645,plain,
    lhs_atom92(X1,X2,X3,X4,X5,X6,X7,X8),
    c_0_485,
    [final] ).

cnf(c_0_646,plain,
    lhs_atom86(X1,X2,X3,X4,X5,X6,X7,X8),
    c_0_486,
    [final] ).

cnf(c_0_647,plain,
    lhs_atom74(X1,X2,X3,X4,X5,X6,X7,X8),
    c_0_487,
    [final] ).

cnf(c_0_648,plain,
    lhs_atom68(X1,X2,X3,X4,X5,X6,X7,X8),
    c_0_488,
    [final] ).

cnf(c_0_649,plain,
    lhs_atom66(X1,X2,X3,X4,X5,X6,X7,X8),
    c_0_489,
    [final] ).

cnf(c_0_650,plain,
    lhs_atom65(X1,X2,X3,X4,X5,X6,X7,X8),
    c_0_490,
    [final] ).

cnf(c_0_651,plain,
    lhs_atom55(X1,X2,X3,X4,X5,X6,X7,X8),
    c_0_491,
    [final] ).

cnf(c_0_652,plain,
    lhs_atom40(X1,X2,X3,X4,X5,X6,X7,X8),
    c_0_492,
    [final] ).

cnf(c_0_653,plain,
    lhs_atom38(X1,X2,X3,X4,X5,X6,X7,X8),
    c_0_493,
    [final] ).

cnf(c_0_654,plain,
    lhs_atom28(X1,X2,X3,X4,X5,X6,X7,X8),
    c_0_494,
    [final] ).

cnf(c_0_655,plain,
    lhs_atom16(X1,X2,X3,X4,X5,X6,X7,X8),
    c_0_495,
    [final] ).

cnf(c_0_656,plain,
    lhs_atom9(X1,X2,X3,X4,X5,X6,X7,X8),
    c_0_496,
    [final] ).

cnf(c_0_657,plain,
    lhs_atom4(X1,X2,X3,X4,X5,X6,X7,X8),
    c_0_497,
    [final] ).

cnf(c_0_658,plain,
    lhs_atom147(X1,X2,X3,X4,X5,X6,X7),
    c_0_498,
    [final] ).

cnf(c_0_659,plain,
    lhs_atom141(X1,X2,X3,X4,X5,X6,X7),
    c_0_499,
    [final] ).

cnf(c_0_660,plain,
    lhs_atom120(X1,X2,X3,X4,X5,X6,X7),
    c_0_500,
    [final] ).

cnf(c_0_661,plain,
    lhs_atom119(X1,X2,X3,X4,X5,X6,X7),
    c_0_501,
    [final] ).

cnf(c_0_662,plain,
    lhs_atom117(X1,X2,X3,X4,X5,X6,X7),
    c_0_502,
    [final] ).

cnf(c_0_663,plain,
    lhs_atom116(X1,X2,X3,X4,X5,X6,X7),
    c_0_503,
    [final] ).

cnf(c_0_664,plain,
    lhs_atom102(X1,X2,X3,X4,X5,X6,X7),
    c_0_504,
    [final] ).

cnf(c_0_665,plain,
    lhs_atom97(X1,X2,X3,X4,X5,X6,X7),
    c_0_505,
    [final] ).

cnf(c_0_666,plain,
    lhs_atom91(X1,X2,X3,X4,X5,X6,X7),
    c_0_506,
    [final] ).

cnf(c_0_667,plain,
    lhs_atom84(X1,X2,X3,X4,X5,X6,X7),
    c_0_507,
    [final] ).

cnf(c_0_668,plain,
    lhs_atom76(X1,X2,X3,X4,X5,X6,X7),
    c_0_508,
    [final] ).

cnf(c_0_669,plain,
    lhs_atom75(X1,X2,X3,X4,X5,X6,X7),
    c_0_509,
    [final] ).

cnf(c_0_670,plain,
    lhs_atom61(X1,X2,X3,X4,X5,X6,X7),
    c_0_510,
    [final] ).

cnf(c_0_671,plain,
    lhs_atom48(X1,X2,X3,X4,X5,X6,X7),
    c_0_511,
    [final] ).

cnf(c_0_672,plain,
    lhs_atom44(X1,X2,X3,X4,X5,X6,X7),
    c_0_512,
    [final] ).

cnf(c_0_673,plain,
    lhs_atom41(X1,X2,X3,X4,X5,X6,X7),
    c_0_513,
    [final] ).

cnf(c_0_674,plain,
    lhs_atom39(X1,X2,X3,X4,X5,X6,X7),
    c_0_514,
    [final] ).

cnf(c_0_675,plain,
    lhs_atom35(X1,X2,X3,X4,X5,X6,X7),
    c_0_515,
    [final] ).

cnf(c_0_676,plain,
    lhs_atom34(X1,X2,X3,X4,X5,X6,X7),
    c_0_516,
    [final] ).

cnf(c_0_677,plain,
    lhs_atom32(X1,X2,X3,X4,X5,X6,X7),
    c_0_517,
    [final] ).

cnf(c_0_678,plain,
    lhs_atom23(X1,X2,X3,X4,X5,X6,X7),
    c_0_518,
    [final] ).

cnf(c_0_679,plain,
    lhs_atom21(X1,X2,X3,X4,X5,X6,X7),
    c_0_519,
    [final] ).

cnf(c_0_680,plain,
    lhs_atom20(X1,X2,X3,X4,X5,X6,X7),
    c_0_520,
    [final] ).

cnf(c_0_681,plain,
    lhs_atom2(X1,X2,X3,X4,X5,X6,X7),
    c_0_521,
    [final] ).

cnf(c_0_682,plain,
    lhs_atom134(X1,X2,X3,X4,X5,X6),
    c_0_522,
    [final] ).

cnf(c_0_683,plain,
    lhs_atom131(X1,X2,X3,X4,X5,X6),
    c_0_523,
    [final] ).

cnf(c_0_684,plain,
    lhs_atom130(X1,X2,X3,X4,X5,X6),
    c_0_524,
    [final] ).

cnf(c_0_685,plain,
    lhs_atom123(X1,X2,X3,X4,X5,X6),
    c_0_525,
    [final] ).

cnf(c_0_686,plain,
    lhs_atom121(X1,X2,X3,X4,X5,X6),
    c_0_526,
    [final] ).

cnf(c_0_687,plain,
    lhs_atom115(X1,X2,X3,X4,X5,X6),
    c_0_527,
    [final] ).

cnf(c_0_688,plain,
    lhs_atom114(X1,X2,X3,X4,X5,X6),
    c_0_528,
    [final] ).

cnf(c_0_689,plain,
    lhs_atom112(X1,X2,X3,X4,X5,X6),
    c_0_529,
    [final] ).

cnf(c_0_690,plain,
    lhs_atom98(X1,X2,X3,X4,X5,X6),
    c_0_530,
    [final] ).

cnf(c_0_691,plain,
    lhs_atom90(X1,X2,X3,X4,X5,X6),
    c_0_531,
    [final] ).

cnf(c_0_692,plain,
    lhs_atom89(X1,X2,X3,X4,X5,X6),
    c_0_532,
    [final] ).

cnf(c_0_693,plain,
    lhs_atom88(X1,X2,X3,X4,X5,X6),
    c_0_533,
    [final] ).

cnf(c_0_694,plain,
    lhs_atom87(X1,X2,X3,X4,X5,X6),
    c_0_534,
    [final] ).

cnf(c_0_695,plain,
    lhs_atom85(X1,X2,X3,X4,X5,X6),
    c_0_535,
    [final] ).

cnf(c_0_696,plain,
    lhs_atom82(X1,X2,X3,X4,X5,X6),
    c_0_536,
    [final] ).

cnf(c_0_697,plain,
    lhs_atom81(X1,X2,X3,X4,X5,X6),
    c_0_537,
    [final] ).

cnf(c_0_698,plain,
    lhs_atom72(X1,X2,X3,X4,X5,X6),
    c_0_538,
    [final] ).

cnf(c_0_699,plain,
    lhs_atom71(X1,X2,X3,X4,X5,X6),
    c_0_539,
    [final] ).

cnf(c_0_700,plain,
    lhs_atom69(X1,X2,X3,X4,X5,X6),
    c_0_540,
    [final] ).

cnf(c_0_701,plain,
    lhs_atom67(X1,X2,X3,X4,X5,X6),
    c_0_541,
    [final] ).

cnf(c_0_702,plain,
    lhs_atom56(X1,X2,X3,X4,X5,X6),
    c_0_542,
    [final] ).

cnf(c_0_703,plain,
    lhs_atom53(X1,X2,X3,X4,X5,X6),
    c_0_543,
    [final] ).

cnf(c_0_704,plain,
    lhs_atom50(X1,X2,X3,X4,X5,X6),
    c_0_544,
    [final] ).

cnf(c_0_705,plain,
    lhs_atom49(X1,X2,X3,X4,X5,X6),
    c_0_545,
    [final] ).

cnf(c_0_706,plain,
    lhs_atom47(X1,X2,X3,X4,X5,X6),
    c_0_546,
    [final] ).

cnf(c_0_707,plain,
    lhs_atom46(X1,X2,X3,X4,X5,X6),
    c_0_547,
    [final] ).

cnf(c_0_708,plain,
    lhs_atom45(X1,X2,X3,X4,X5,X6),
    c_0_548,
    [final] ).

cnf(c_0_709,plain,
    lhs_atom36(X1,X2,X3,X4,X5,X6),
    c_0_549,
    [final] ).

cnf(c_0_710,plain,
    lhs_atom30(X1,X2,X3,X4,X5,X6),
    c_0_550,
    [final] ).

cnf(c_0_711,plain,
    lhs_atom29(X1,X2,X3,X4,X5,X6),
    c_0_551,
    [final] ).

cnf(c_0_712,plain,
    lhs_atom25(X1,X2,X3,X4,X5,X6),
    c_0_552,
    [final] ).

cnf(c_0_713,plain,
    lhs_atom22(X1,X2,X3,X4,X5,X6),
    c_0_553,
    [final] ).

cnf(c_0_714,plain,
    lhs_atom18(X1,X2,X3,X4,X5,X6),
    c_0_554,
    [final] ).

cnf(c_0_715,plain,
    lhs_atom15(X1,X2,X3,X4,X5,X6),
    c_0_555,
    [final] ).

cnf(c_0_716,plain,
    lhs_atom6(X1,X2,X3,X4,X5,X6),
    c_0_556,
    [final] ).

cnf(c_0_717,plain,
    lhs_atom133(X1,X2,X3,X4,X5),
    c_0_557,
    [final] ).

cnf(c_0_718,plain,
    lhs_atom113(X1,X2,X3,X4,X5),
    c_0_558,
    [final] ).

cnf(c_0_719,plain,
    lhs_atom110(X1,X2,X3,X4,X5),
    c_0_559,
    [final] ).

cnf(c_0_720,plain,
    lhs_atom108(X1,X2,X3,X4,X5),
    c_0_560,
    [final] ).

cnf(c_0_721,plain,
    lhs_atom107(X1,X2,X3,X4,X5),
    c_0_561,
    [final] ).

cnf(c_0_722,plain,
    lhs_atom104(X1,X2,X3,X4,X5),
    c_0_562,
    [final] ).

cnf(c_0_723,plain,
    lhs_atom101(X1,X2,X3,X4,X5),
    c_0_563,
    [final] ).

cnf(c_0_724,plain,
    lhs_atom99(X1,X2,X3,X4,X5),
    c_0_564,
    [final] ).

cnf(c_0_725,plain,
    lhs_atom94(X1,X2,X3,X4,X5),
    c_0_565,
    [final] ).

cnf(c_0_726,plain,
    lhs_atom80(X1,X2,X3,X4,X5),
    c_0_566,
    [final] ).

cnf(c_0_727,plain,
    lhs_atom79(X1,X2,X3,X4,X5),
    c_0_567,
    [final] ).

cnf(c_0_728,plain,
    lhs_atom77(X1,X2,X3,X4,X5),
    c_0_568,
    [final] ).

cnf(c_0_729,plain,
    lhs_atom64(X1,X2,X3,X4,X5),
    c_0_569,
    [final] ).

cnf(c_0_730,plain,
    lhs_atom63(X1,X2,X3,X4,X5),
    c_0_570,
    [final] ).

cnf(c_0_731,plain,
    lhs_atom62(X1,X2,X3,X4,X5),
    c_0_571,
    [final] ).

cnf(c_0_732,plain,
    lhs_atom60(X1,X2,X3,X4,X5),
    c_0_572,
    [final] ).

cnf(c_0_733,plain,
    lhs_atom59(X1,X2,X3,X4,X5),
    c_0_573,
    [final] ).

cnf(c_0_734,plain,
    lhs_atom54(X1,X2,X3,X4,X5),
    c_0_574,
    [final] ).

cnf(c_0_735,plain,
    lhs_atom52(X1,X2,X3,X4,X5),
    c_0_575,
    [final] ).

cnf(c_0_736,plain,
    lhs_atom43(X1,X2,X3,X4,X5),
    c_0_576,
    [final] ).

cnf(c_0_737,plain,
    lhs_atom37(X1,X2,X3,X4,X5),
    c_0_577,
    [final] ).

cnf(c_0_738,plain,
    lhs_atom33(X1,X2,X3,X4,X5),
    c_0_578,
    [final] ).

cnf(c_0_739,plain,
    lhs_atom27(X1,X2,X3,X4,X5),
    c_0_579,
    [final] ).

cnf(c_0_740,plain,
    lhs_atom19(X1,X2,X3,X4,X5),
    c_0_580,
    [final] ).

cnf(c_0_741,plain,
    lhs_atom14(X1,X2,X3,X4,X5),
    c_0_581,
    [final] ).

cnf(c_0_742,plain,
    lhs_atom10(X1,X2,X3,X4,X5),
    c_0_582,
    [final] ).

cnf(c_0_743,plain,
    lhs_atom8(X1,X2,X3,X4,X5),
    c_0_583,
    [final] ).

cnf(c_0_744,plain,
    lhs_atom7(X1,X2,X3,X4,X5),
    c_0_584,
    [final] ).

cnf(c_0_745,plain,
    lhs_atom136(X1,X2,X3,X4),
    c_0_585,
    [final] ).

cnf(c_0_746,plain,
    lhs_atom135(X1,X2,X3,X4),
    c_0_586,
    [final] ).

cnf(c_0_747,plain,
    lhs_atom118(X1,X2,X3,X4),
    c_0_587,
    [final] ).

cnf(c_0_748,plain,
    lhs_atom111(X1,X2,X3,X4),
    c_0_588,
    [final] ).

cnf(c_0_749,plain,
    lhs_atom100(X1,X2,X3,X4),
    c_0_589,
    [final] ).

cnf(c_0_750,plain,
    lhs_atom93(X1,X2,X3,X4),
    c_0_590,
    [final] ).

cnf(c_0_751,plain,
    lhs_atom78(X1,X2,X3,X4),
    c_0_591,
    [final] ).

cnf(c_0_752,plain,
    lhs_atom70(X1,X2,X3,X4),
    c_0_592,
    [final] ).

cnf(c_0_753,plain,
    lhs_atom58(X1,X2,X3,X4),
    c_0_593,
    [final] ).

cnf(c_0_754,plain,
    lhs_atom57(X1,X2,X3,X4),
    c_0_594,
    [final] ).

cnf(c_0_755,plain,
    lhs_atom42(X1,X2,X3,X4),
    c_0_595,
    [final] ).

cnf(c_0_756,plain,
    lhs_atom24(X1,X2,X3,X4),
    c_0_596,
    [final] ).

cnf(c_0_757,plain,
    lhs_atom17(X1,X2,X3,X4),
    c_0_597,
    [final] ).

cnf(c_0_758,plain,
    lhs_atom13(X1,X2,X3,X4),
    c_0_598,
    [final] ).

cnf(c_0_759,plain,
    lhs_atom12(X1,X2,X3,X4),
    c_0_599,
    [final] ).

cnf(c_0_760,plain,
    lhs_atom5(X1,X2,X3,X4),
    c_0_600,
    [final] ).

cnf(c_0_761,plain,
    lhs_atom1(X1,X2,X3,X4),
    c_0_601,
    [final] ).

cnf(c_0_762,plain,
    lhs_atom145(X1,X2,X3),
    c_0_602,
    [final] ).

cnf(c_0_763,plain,
    lhs_atom139(X1,X2,X3),
    c_0_603,
    [final] ).

cnf(c_0_764,plain,
    lhs_atom137(X1,X2,X3),
    c_0_604,
    [final] ).

cnf(c_0_765,plain,
    lhs_atom129(X1,X2,X3),
    c_0_605,
    [final] ).

cnf(c_0_766,plain,
    lhs_atom103(X1,X2,X3),
    c_0_606,
    [final] ).

cnf(c_0_767,plain,
    lhs_atom96(X1,X2,X3),
    c_0_607,
    [final] ).

cnf(c_0_768,plain,
    lhs_atom95(X1,X2,X3),
    c_0_608,
    [final] ).

cnf(c_0_769,plain,
    lhs_atom83(X1,X2,X3),
    c_0_609,
    [final] ).

cnf(c_0_770,plain,
    lhs_atom73(X1,X2,X3),
    c_0_610,
    [final] ).

cnf(c_0_771,plain,
    lhs_atom159(X1,X2),
    c_0_611,
    [final] ).

cnf(c_0_772,plain,
    lhs_atom144(X1,X2),
    c_0_612,
    [final] ).

cnf(c_0_773,plain,
    lhs_atom122(X1,X2),
    c_0_613,
    [final] ).

cnf(c_0_774,plain,
    lhs_atom106(X1,X2),
    c_0_614,
    [final] ).

cnf(c_0_775,plain,
    lhs_atom105(X1,X2),
    c_0_615,
    [final] ).

cnf(c_0_776,plain,
    lhs_atom51(X1,X2),
    c_0_616,
    [final] ).

cnf(c_0_777,plain,
    lhs_atom31(X1,X2),
    c_0_617,
    [final] ).

cnf(c_0_778,plain,
    lhs_atom11(X1,X2),
    c_0_618,
    [final] ).

cnf(c_0_779,plain,
    lhs_atom142(X1),
    c_0_619,
    [final] ).

cnf(c_0_780,plain,
    lhs_atom138(X1),
    c_0_620,
    [final] ).

cnf(c_0_781,plain,
    lhs_atom132(X1),
    c_0_621,
    [final] ).

cnf(c_0_782,plain,
    lhs_atom125(X1),
    c_0_622,
    [final] ).

cnf(c_0_783,plain,
    lhs_atom124(X1),
    c_0_623,
    [final] ).

cnf(c_0_784,plain,
    lhs_atom158,
    c_0_624,
    [final] ).

cnf(c_0_785,plain,
    lhs_atom157,
    c_0_625,
    [final] ).

cnf(c_0_786,plain,
    lhs_atom156,
    c_0_626,
    [final] ).

cnf(c_0_787,plain,
    lhs_atom155,
    c_0_627,
    [final] ).

cnf(c_0_788,plain,
    lhs_atom154,
    c_0_628,
    [final] ).

cnf(c_0_789,plain,
    lhs_atom153,
    c_0_629,
    [final] ).

cnf(c_0_790,plain,
    lhs_atom152,
    c_0_630,
    [final] ).

cnf(c_0_791,plain,
    lhs_atom150,
    c_0_631,
    [final] ).

cnf(c_0_792,plain,
    lhs_atom151,
    c_0_632,
    [final] ).

cnf(c_0_793,plain,
    lhs_atom150,
    c_0_633,
    [final] ).

cnf(c_0_794,plain,
    lhs_atom149,
    c_0_634,
    [final] ).

cnf(c_0_795,plain,
    lhs_atom148,
    c_0_635,
    [final] ).

cnf(c_0_796,plain,
    lhs_atom146,
    c_0_636,
    [final] ).

cnf(c_0_797,plain,
    lhs_atom143,
    c_0_637,
    [final] ).

cnf(c_0_798,plain,
    lhs_atom140,
    c_0_638,
    [final] ).

cnf(c_0_799,plain,
    lhs_atom128,
    c_0_639,
    [final] ).

% End CNF derivation
cnf(c_0_640_0,axiom,
    c_Expr_Oexp_OTryCatch(X6,X1,X8,X4,X9) != c_Expr_Oexp_OFAss(X7,X3,X2,X5,X9),
    inference(unfold_definition,[status(thm)],[c_0_640,def_lhs_atom26]) ).

cnf(c_0_641_0,axiom,
    c_Expr_Oexp_OFAss(X7,X3,X2,X5,X9) != c_Expr_Oexp_OTryCatch(X6,X1,X8,X4,X9),
    inference(unfold_definition,[status(thm)],[c_0_641,def_lhs_atom3]) ).

cnf(c_0_642_0,axiom,
    c_Expr_Oexp_OFAss(X6,X3,X1,X5,X8) != c_Expr_Oexp_OFAcc(X7,X4,X2,X8),
    inference(unfold_definition,[status(thm)],[c_0_642,def_lhs_atom127]) ).

cnf(c_0_643_0,axiom,
    c_Expr_Oexp_OFAcc(X7,X4,X2,X8) != c_Expr_Oexp_OFAss(X6,X3,X1,X5,X8),
    inference(unfold_definition,[status(thm)],[c_0_643,def_lhs_atom126]) ).

cnf(c_0_644_0,axiom,
    c_Expr_Oexp_OCall(X6,X3,X2,X8) != c_Expr_Oexp_OTryCatch(X5,X1,X7,X4,X8),
    inference(unfold_definition,[status(thm)],[c_0_644,def_lhs_atom109]) ).

cnf(c_0_645_0,axiom,
    c_Expr_Oexp_OTryCatch(X5,X1,X7,X3,X8) != c_Expr_Oexp_OCond(X6,X4,X2,X8),
    inference(unfold_definition,[status(thm)],[c_0_645,def_lhs_atom92]) ).

cnf(c_0_646_0,axiom,
    c_Expr_Oexp_OFAss(X7,X4,X2,X6,X8) != c_Expr_Oexp_OCall(X5,X3,X1,X8),
    inference(unfold_definition,[status(thm)],[c_0_646,def_lhs_atom86]) ).

cnf(c_0_647_0,axiom,
    c_Expr_Oexp_OFAss(X5,X2,X1,X3,X8) != c_Expr_Oexp_OBinOp(X6,X7,X4,X8),
    inference(unfold_definition,[status(thm)],[c_0_647,def_lhs_atom74]) ).

cnf(c_0_648_0,axiom,
    c_Expr_Oexp_OBinOp(X5,X6,X3,X8) != c_Expr_Oexp_OTryCatch(X4,X1,X7,X2,X8),
    inference(unfold_definition,[status(thm)],[c_0_648,def_lhs_atom68]) ).

cnf(c_0_649_0,axiom,
    c_Expr_Oexp_OCall(X5,X3,X1,X8) != c_Expr_Oexp_OFAss(X7,X4,X2,X6,X8),
    inference(unfold_definition,[status(thm)],[c_0_649,def_lhs_atom66]) ).

cnf(c_0_650_0,axiom,
    c_Expr_Oexp_OFAss(X7,X2,X1,X5,X8) != c_Expr_Oexp_OCond(X6,X4,X3,X8),
    inference(unfold_definition,[status(thm)],[c_0_650,def_lhs_atom65]) ).

cnf(c_0_651_0,axiom,
    c_Expr_Oexp_OCond(X6,X4,X2,X8) != c_Expr_Oexp_OTryCatch(X5,X1,X7,X3,X8),
    inference(unfold_definition,[status(thm)],[c_0_651,def_lhs_atom55]) ).

cnf(c_0_652_0,axiom,
    c_Expr_Oexp_OTryCatch(X5,X1,X7,X4,X8) != c_Expr_Oexp_OFAcc(X6,X3,X2,X8),
    inference(unfold_definition,[status(thm)],[c_0_652,def_lhs_atom40]) ).

cnf(c_0_653_0,axiom,
    c_Expr_Oexp_OTryCatch(X5,X1,X7,X4,X8) != c_Expr_Oexp_OCall(X6,X3,X2,X8),
    inference(unfold_definition,[status(thm)],[c_0_653,def_lhs_atom38]) ).

cnf(c_0_654_0,axiom,
    c_Expr_Oexp_OCond(X6,X4,X3,X8) != c_Expr_Oexp_OFAss(X7,X2,X1,X5,X8),
    inference(unfold_definition,[status(thm)],[c_0_654,def_lhs_atom28]) ).

cnf(c_0_655_0,axiom,
    c_Expr_Oexp_OTryCatch(X4,X1,X7,X2,X8) != c_Expr_Oexp_OBinOp(X5,X6,X3,X8),
    inference(unfold_definition,[status(thm)],[c_0_655,def_lhs_atom16]) ).

cnf(c_0_656_0,axiom,
    c_Expr_Oexp_OFAcc(X6,X3,X2,X8) != c_Expr_Oexp_OTryCatch(X5,X1,X7,X4,X8),
    inference(unfold_definition,[status(thm)],[c_0_656,def_lhs_atom9]) ).

cnf(c_0_657_0,axiom,
    c_Expr_Oexp_OBinOp(X6,X7,X4,X8) != c_Expr_Oexp_OFAss(X5,X2,X1,X3,X8),
    inference(unfold_definition,[status(thm)],[c_0_657,def_lhs_atom4]) ).

cnf(c_0_658_0,axiom,
    c_Expr_Oexp_OFAss(X6,X2,X1,X4,X7) != c_Expr_Oexp_OSeq(X5,X3,X7),
    inference(unfold_definition,[status(thm)],[c_0_658,def_lhs_atom147]) ).

cnf(c_0_659_0,axiom,
    c_Expr_Oexp_OSeq(X5,X3,X7) != c_Expr_Oexp_OFAss(X6,X2,X1,X4,X7),
    inference(unfold_definition,[status(thm)],[c_0_659,def_lhs_atom141]) ).

cnf(c_0_660_0,axiom,
    c_Expr_Oexp_OSeq(X5,X3,X7) != c_Expr_Oexp_OTryCatch(X4,X1,X6,X2,X7),
    inference(unfold_definition,[status(thm)],[c_0_660,def_lhs_atom120]) ).

cnf(c_0_661_0,axiom,
    c_Expr_Oexp_OTryCatch(X4,X1,X6,X2,X7) != c_Expr_Oexp_OSeq(X5,X3,X7),
    inference(unfold_definition,[status(thm)],[c_0_661,def_lhs_atom119]) ).

cnf(c_0_662_0,axiom,
    c_Expr_Oexp_OFAcc(X3,X2,X1,X7) != c_Expr_Oexp_OBinOp(X5,X6,X4,X7),
    inference(unfold_definition,[status(thm)],[c_0_662,def_lhs_atom117]) ).

cnf(c_0_663_0,axiom,
    c_Expr_Oexp_OTryCatch(X3,X1,X5,X2,X7) != c_Expr_Oexp_OLAss(X6,X4,X7),
    inference(unfold_definition,[status(thm)],[c_0_663,def_lhs_atom116]) ).

cnf(c_0_664_0,axiom,
    c_Expr_Oexp_OBinOp(X5,X6,X3,X7) != c_Expr_Oexp_OCond(X4,X2,X1,X7),
    inference(unfold_definition,[status(thm)],[c_0_664,def_lhs_atom102]) ).

cnf(c_0_665_0,axiom,
    c_Expr_Oexp_OFAcc(X6,X4,X2,X7) != c_Expr_Oexp_OCall(X5,X3,X1,X7),
    inference(unfold_definition,[status(thm)],[c_0_665,def_lhs_atom97]) ).

cnf(c_0_666_0,axiom,
    c_Expr_Oexp_OFAss(X5,X2,X1,X4,X7) != c_Expr_Oexp_OCast(X3,X6,X7),
    inference(unfold_definition,[status(thm)],[c_0_666,def_lhs_atom91]) ).

cnf(c_0_667_0,axiom,
    c_Expr_Oexp_OCast(X2,X5,X7) != c_Expr_Oexp_OTryCatch(X4,X1,X6,X3,X7),
    inference(unfold_definition,[status(thm)],[c_0_667,def_lhs_atom84]) ).

cnf(c_0_668_0,axiom,
    c_Expr_Oexp_OCall(X5,X3,X1,X7) != c_Expr_Oexp_OFAcc(X6,X4,X2,X7),
    inference(unfold_definition,[status(thm)],[c_0_668,def_lhs_atom76]) ).

cnf(c_0_669_0,axiom,
    c_Expr_Oexp_OLAss(X6,X4,X7) != c_Expr_Oexp_OTryCatch(X3,X1,X5,X2,X7),
    inference(unfold_definition,[status(thm)],[c_0_669,def_lhs_atom75]) ).

cnf(c_0_670_0,axiom,
    c_Expr_Oexp_OFAcc(X6,X2,X1,X7) != c_Expr_Oexp_OCond(X5,X4,X3,X7),
    inference(unfold_definition,[status(thm)],[c_0_670,def_lhs_atom61]) ).

cnf(c_0_671_0,axiom,
    c_Expr_Oexp_OCall(X3,X2,X1,X7) != c_Expr_Oexp_OBinOp(X5,X6,X4,X7),
    inference(unfold_definition,[status(thm)],[c_0_671,def_lhs_atom48]) ).

cnf(c_0_672_0,axiom,
    c_Expr_Oexp_OFAss(X4,X2,X1,X3,X7) != c_Expr_Oexp_OLAss(X6,X5,X7),
    inference(unfold_definition,[status(thm)],[c_0_672,def_lhs_atom44]) ).

cnf(c_0_673_0,axiom,
    c_Expr_Oexp_OCond(X5,X4,X3,X7) != c_Expr_Oexp_OFAcc(X6,X2,X1,X7),
    inference(unfold_definition,[status(thm)],[c_0_673,def_lhs_atom41]) ).

cnf(c_0_674_0,axiom,
    c_Expr_Oexp_OCond(X5,X4,X3,X7) != c_Expr_Oexp_OCall(X6,X2,X1,X7),
    inference(unfold_definition,[status(thm)],[c_0_674,def_lhs_atom39]) ).

cnf(c_0_675_0,axiom,
    c_Expr_Oexp_OCast(X3,X6,X7) != c_Expr_Oexp_OFAss(X5,X2,X1,X4,X7),
    inference(unfold_definition,[status(thm)],[c_0_675,def_lhs_atom35]) ).

cnf(c_0_676_0,axiom,
    c_Expr_Oexp_OTryCatch(X4,X1,X6,X3,X7) != c_Expr_Oexp_OCast(X2,X5,X7),
    inference(unfold_definition,[status(thm)],[c_0_676,def_lhs_atom34]) ).

cnf(c_0_677_0,axiom,
    c_Expr_Oexp_OLAss(X6,X5,X7) != c_Expr_Oexp_OFAss(X4,X2,X1,X3,X7),
    inference(unfold_definition,[status(thm)],[c_0_677,def_lhs_atom32]) ).

cnf(c_0_678_0,axiom,
    c_Expr_Oexp_OCall(X6,X2,X1,X7) != c_Expr_Oexp_OCond(X5,X4,X3,X7),
    inference(unfold_definition,[status(thm)],[c_0_678,def_lhs_atom23]) ).

cnf(c_0_679_0,axiom,
    c_Expr_Oexp_OBinOp(X5,X6,X4,X7) != c_Expr_Oexp_OFAcc(X3,X2,X1,X7),
    inference(unfold_definition,[status(thm)],[c_0_679,def_lhs_atom21]) ).

cnf(c_0_680_0,axiom,
    c_Expr_Oexp_OBinOp(X5,X6,X4,X7) != c_Expr_Oexp_OCall(X3,X2,X1,X7),
    inference(unfold_definition,[status(thm)],[c_0_680,def_lhs_atom20]) ).

cnf(c_0_681_0,axiom,
    c_Expr_Oexp_OCond(X4,X2,X1,X7) != c_Expr_Oexp_OBinOp(X5,X6,X3,X7),
    inference(unfold_definition,[status(thm)],[c_0_681,def_lhs_atom2]) ).

cnf(c_0_682_0,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X1,tc_List_Olist(tc_String_Ochar)),X5,X6,c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X4),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    inference(unfold_definition,[status(thm)],[c_0_682,def_lhs_atom134]) ).

cnf(c_0_683_0,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X5,X6,X2,tc_List_Olist(tc_String_Ochar)),X1,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X1,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X4),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    inference(unfold_definition,[status(thm)],[c_0_683,def_lhs_atom131]) ).

cnf(c_0_684_0,axiom,
    c_Expr_Oexp_OFAcc(X5,X2,X1,X6) != c_Expr_Oexp_OSeq(X4,X3,X6),
    inference(unfold_definition,[status(thm)],[c_0_684,def_lhs_atom130]) ).

cnf(c_0_685_0,axiom,
    c_Expr_Oexp_OSeq(X4,X3,X6) != c_Expr_Oexp_OFAcc(X5,X2,X1,X6),
    inference(unfold_definition,[status(thm)],[c_0_685,def_lhs_atom123]) ).

cnf(c_0_686_0,axiom,
    c_Expr_Oexp_OSeq(X4,X3,X6) != c_Expr_Oexp_OCall(X5,X2,X1,X6),
    inference(unfold_definition,[status(thm)],[c_0_686,def_lhs_atom121]) ).

cnf(c_0_687_0,axiom,
    c_Expr_Oexp_OCond(X3,X2,X1,X6) != c_Expr_Oexp_OLAss(X5,X4,X6),
    inference(unfold_definition,[status(thm)],[c_0_687,def_lhs_atom115]) ).

cnf(c_0_688_0,axiom,
    c_Expr_Oexp_OVal(X1,X6) != c_Expr_Oexp_OFAss(X5,X3,X2,X4,X6),
    inference(unfold_definition,[status(thm)],[c_0_688,def_lhs_atom114]) ).

cnf(c_0_689_0,axiom,
    c_Expr_Oexp_OVal(X1,X6) != c_Expr_Oexp_OTryCatch(X4,X2,X5,X3,X6),
    inference(unfold_definition,[status(thm)],[c_0_689,def_lhs_atom112]) ).

cnf(c_0_690_0,axiom,
    c_Expr_Oexp_OFAcc(X4,X2,X1,X6) != c_Expr_Oexp_OCast(X3,X5,X6),
    inference(unfold_definition,[status(thm)],[c_0_690,def_lhs_atom98]) ).

cnf(c_0_691_0,axiom,
    c_Expr_Oexp_OLAss(X5,X4,X6) != c_Expr_Oexp_OCond(X3,X2,X1,X6),
    inference(unfold_definition,[status(thm)],[c_0_691,def_lhs_atom90]) ).

cnf(c_0_692_0,axiom,
    c_Expr_Oexp_OCast(X1,X5,X6) != c_Expr_Oexp_OCond(X4,X3,X2,X6),
    inference(unfold_definition,[status(thm)],[c_0_692,def_lhs_atom89]) ).

cnf(c_0_693_0,axiom,
    c_Expr_Oexp_OTryCatch(X4,X2,X5,X3,X6) != c_Expr_Oexp_OVal(X1,X6),
    inference(unfold_definition,[status(thm)],[c_0_693,def_lhs_atom88]) ).

cnf(c_0_694_0,axiom,
    c_Expr_Oexp_OSeq(X3,X1,X6) != c_Expr_Oexp_OBinOp(X4,X5,X2,X6),
    inference(unfold_definition,[status(thm)],[c_0_694,def_lhs_atom87]) ).

cnf(c_0_695_0,axiom,
    c_Expr_Oexp_OBinOp(X4,X5,X2,X6) != c_Expr_Oexp_OSeq(X3,X1,X6),
    inference(unfold_definition,[status(thm)],[c_0_695,def_lhs_atom85]) ).

cnf(c_0_696_0,axiom,
    c_Expr_Oexp_OTryCatch(X3,X1,X5,X2,X6) != c_Expr_Oexp_Othrow(X4,X6),
    inference(unfold_definition,[status(thm)],[c_0_696,def_lhs_atom82]) ).

cnf(c_0_697_0,axiom,
    c_Expr_Oexp_OCall(X3,X2,X1,X6) != c_Expr_Oexp_OLAss(X5,X4,X6),
    inference(unfold_definition,[status(thm)],[c_0_697,def_lhs_atom81]) ).

cnf(c_0_698_0,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_OTryCatch(c_Expr_Oexp_OVal(X1,tc_List_Olist(tc_String_Ochar)),X6,X4,X3,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    inference(unfold_definition,[status(thm)],[c_0_698,def_lhs_atom72]) ).

cnf(c_0_699_0,axiom,
    c_Expr_Oexp_OCall(X4,X2,X1,X6) != c_Expr_Oexp_OCast(X3,X5,X6),
    inference(unfold_definition,[status(thm)],[c_0_699,def_lhs_atom71]) ).

cnf(c_0_700_0,axiom,
    c_Expr_Oexp_OBinOp(X3,X4,X2,X6) != c_Expr_Oexp_OLAss(X5,X1,X6),
    inference(unfold_definition,[status(thm)],[c_0_700,def_lhs_atom69]) ).

cnf(c_0_701_0,axiom,
    c_Expr_Oexp_OFAss(X5,X2,X1,X4,X6) != c_Expr_Oexp_Othrow(X3,X6),
    inference(unfold_definition,[status(thm)],[c_0_701,def_lhs_atom67]) ).

cnf(c_0_702_0,axiom,
    c_Expr_Oexp_Othrow(X3,X6) != c_Expr_Oexp_OFAss(X5,X2,X1,X4,X6),
    inference(unfold_definition,[status(thm)],[c_0_702,def_lhs_atom56]) ).

cnf(c_0_703_0,axiom,
    c_Expr_Oexp_Othrow(X4,X6) != c_Expr_Oexp_OTryCatch(X3,X1,X5,X2,X6),
    inference(unfold_definition,[status(thm)],[c_0_703,def_lhs_atom53]) ).

cnf(c_0_704_0,axiom,
    c_Expr_Oexp_OCast(X3,X5,X6) != c_Expr_Oexp_OFAcc(X4,X2,X1,X6),
    inference(unfold_definition,[status(thm)],[c_0_704,def_lhs_atom50]) ).

cnf(c_0_705_0,axiom,
    c_Expr_Oexp_OCast(X3,X5,X6) != c_Expr_Oexp_OCall(X4,X2,X1,X6),
    inference(unfold_definition,[status(thm)],[c_0_705,def_lhs_atom49]) ).

cnf(c_0_706_0,axiom,
    c_Expr_Oexp_OLAss(X5,X4,X6) != c_Expr_Oexp_OFAcc(X3,X2,X1,X6),
    inference(unfold_definition,[status(thm)],[c_0_706,def_lhs_atom47]) ).

cnf(c_0_707_0,axiom,
    c_Expr_Oexp_OLAss(X5,X4,X6) != c_Expr_Oexp_OCall(X3,X2,X1,X6),
    inference(unfold_definition,[status(thm)],[c_0_707,def_lhs_atom46]) ).

cnf(c_0_708_0,axiom,
    c_Expr_Oexp_OFAss(X5,X3,X2,X4,X6) != c_Expr_Oexp_OVal(X1,X6),
    inference(unfold_definition,[status(thm)],[c_0_708,def_lhs_atom45]) ).

cnf(c_0_709_0,axiom,
    c_Expr_Oexp_OCond(X4,X3,X2,X6) != c_Expr_Oexp_OCast(X1,X5,X6),
    inference(unfold_definition,[status(thm)],[c_0_709,def_lhs_atom36]) ).

cnf(c_0_710_0,axiom,
    c_Expr_Oexp_OFAcc(X3,X2,X1,X6) != c_Expr_Oexp_OLAss(X5,X4,X6),
    inference(unfold_definition,[status(thm)],[c_0_710,def_lhs_atom30]) ).

cnf(c_0_711_0,axiom,
    c_Expr_Oexp_OSeq(X5,X3,X6) != c_Expr_Oexp_OCond(X4,X2,X1,X6),
    inference(unfold_definition,[status(thm)],[c_0_711,def_lhs_atom29]) ).

cnf(c_0_712_0,axiom,
    c_Expr_Oexp_OCall(X5,X2,X1,X6) != c_Expr_Oexp_OSeq(X4,X3,X6),
    inference(unfold_definition,[status(thm)],[c_0_712,def_lhs_atom25]) ).

cnf(c_0_713_0,axiom,
    c_Expr_Oexp_OLAss(X5,X1,X6) != c_Expr_Oexp_OBinOp(X3,X4,X2,X6),
    inference(unfold_definition,[status(thm)],[c_0_713,def_lhs_atom22]) ).

cnf(c_0_714_0,axiom,
    c_Expr_Oexp_OBinOp(X3,X5,X2,X6) != c_Expr_Oexp_OCast(X1,X4,X6),
    inference(unfold_definition,[status(thm)],[c_0_714,def_lhs_atom18]) ).

cnf(c_0_715_0,axiom,
    c_Expr_Oexp_OCond(X4,X2,X1,X6) != c_Expr_Oexp_OSeq(X5,X3,X6),
    inference(unfold_definition,[status(thm)],[c_0_715,def_lhs_atom15]) ).

cnf(c_0_716_0,axiom,
    c_Expr_Oexp_OCast(X1,X4,X6) != c_Expr_Oexp_OBinOp(X3,X5,X2,X6),
    inference(unfold_definition,[status(thm)],[c_0_716,def_lhs_atom6]) ).

cnf(c_0_717_0,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAcc(c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),X4,X5,tc_List_Olist(tc_String_Ochar)),X1,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),X1,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X3),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    inference(unfold_definition,[status(thm)],[c_0_717,def_lhs_atom133]) ).

cnf(c_0_718_0,axiom,
    c_Expr_Oexp_OCast(X1,X3,X5) != c_Expr_Oexp_OLAss(X4,X2,X5),
    inference(unfold_definition,[status(thm)],[c_0_718,def_lhs_atom113]) ).

cnf(c_0_719_0,axiom,
    c_Expr_Oexp_OCast(X1,X4,X5) != c_Expr_Oexp_OSeq(X3,X2,X5),
    inference(unfold_definition,[status(thm)],[c_0_719,def_lhs_atom110]) ).

cnf(c_0_720_0,axiom,
    c_Expr_Oexp_OVal(X1,X5) != c_Expr_Oexp_OCall(X4,X3,X2,X5),
    inference(unfold_definition,[status(thm)],[c_0_720,def_lhs_atom108]) ).

cnf(c_0_721_0,axiom,
    c_Expr_Oexp_OVal(X1,X5) != c_Expr_Oexp_OFAcc(X4,X3,X2,X5),
    inference(unfold_definition,[status(thm)],[c_0_721,def_lhs_atom107]) ).

cnf(c_0_722_0,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X1,tc_List_Olist(tc_String_Ochar)),X4,c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    inference(unfold_definition,[status(thm)],[c_0_722,def_lhs_atom104]) ).

cnf(c_0_723_0,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_OCall(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X5,X2,tc_List_Olist(tc_String_Ochar)),X1,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X1,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X4),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    inference(unfold_definition,[status(thm)],[c_0_723,def_lhs_atom101]) ).

cnf(c_0_724_0,axiom,
    c_Expr_Oexp_OVal(X1,X5) != c_Expr_Oexp_OBinOp(X3,X4,X2,X5),
    inference(unfold_definition,[status(thm)],[c_0_724,def_lhs_atom99]) ).

cnf(c_0_725_0,axiom,
    c_Expr_Oexp_OBinOp(X3,X4,X2,X5) != c_Expr_Oexp_Othrow(X1,X5),
    inference(unfold_definition,[status(thm)],[c_0_725,def_lhs_atom94]) ).

cnf(c_0_726_0,axiom,
    c_Expr_Oexp_OSeq(X3,X2,X5) != c_Expr_Oexp_OCast(X1,X4,X5),
    inference(unfold_definition,[status(thm)],[c_0_726,def_lhs_atom80]) ).

cnf(c_0_727_0,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X3,X2,tc_List_Olist(tc_String_Ochar)),X1,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X1,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    inference(unfold_definition,[status(thm)],[c_0_727,def_lhs_atom79]) ).

cnf(c_0_728_0,axiom,
    c_Expr_Oexp_OFAcc(X4,X2,X1,X5) != c_Expr_Oexp_Othrow(X3,X5),
    inference(unfold_definition,[status(thm)],[c_0_728,def_lhs_atom77]) ).

cnf(c_0_729_0,axiom,
    c_Expr_Oexp_Othrow(X1,X5) != c_Expr_Oexp_OBinOp(X3,X4,X2,X5),
    inference(unfold_definition,[status(thm)],[c_0_729,def_lhs_atom64]) ).

cnf(c_0_730_0,axiom,
    c_Expr_Oexp_OCall(X4,X3,X2,X5) != c_Expr_Oexp_OVal(X1,X5),
    inference(unfold_definition,[status(thm)],[c_0_730,def_lhs_atom63]) ).

cnf(c_0_731_0,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,X2,tc_List_Olist(tc_String_Ochar)),X1,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X1,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    inference(unfold_definition,[status(thm)],[c_0_731,def_lhs_atom62]) ).

cnf(c_0_732_0,axiom,
    c_Expr_Oexp_Othrow(X3,X5) != c_Expr_Oexp_OFAcc(X4,X2,X1,X5),
    inference(unfold_definition,[status(thm)],[c_0_732,def_lhs_atom60]) ).

cnf(c_0_733_0,axiom,
    c_Expr_Oexp_Othrow(X3,X5) != c_Expr_Oexp_OCall(X4,X2,X1,X5),
    inference(unfold_definition,[status(thm)],[c_0_733,def_lhs_atom59]) ).

cnf(c_0_734_0,axiom,
    c_Expr_Oexp_OFAcc(X4,X3,X2,X5) != c_Expr_Oexp_OVal(X1,X5),
    inference(unfold_definition,[status(thm)],[c_0_734,def_lhs_atom54]) ).

cnf(c_0_735_0,axiom,
    c_Expr_Oexp_OVal(X1,X5) != c_Expr_Oexp_OCond(X4,X3,X2,X5),
    inference(unfold_definition,[status(thm)],[c_0_735,def_lhs_atom52]) ).

cnf(c_0_736_0,axiom,
    c_Expr_Oexp_OCond(X4,X3,X2,X5) != c_Expr_Oexp_OVal(X1,X5),
    inference(unfold_definition,[status(thm)],[c_0_736,def_lhs_atom43]) ).

cnf(c_0_737_0,axiom,
    c_Expr_Oexp_OLAss(X4,X2,X5) != c_Expr_Oexp_OCast(X1,X3,X5),
    inference(unfold_definition,[status(thm)],[c_0_737,def_lhs_atom37]) ).

cnf(c_0_738_0,axiom,
    c_Expr_Oexp_OCall(X4,X2,X1,X5) != c_Expr_Oexp_Othrow(X3,X5),
    inference(unfold_definition,[status(thm)],[c_0_738,def_lhs_atom33]) ).

cnf(c_0_739_0,axiom,
    c_Expr_Oexp_OBinOp(X3,X4,X2,X5) != c_Expr_Oexp_OVal(X1,X5),
    inference(unfold_definition,[status(thm)],[c_0_739,def_lhs_atom27]) ).

cnf(c_0_740_0,axiom,
    c_Expr_Oexp_OLAss(X4,X3,X5) != c_Expr_Oexp_OSeq(X2,X1,X5),
    inference(unfold_definition,[status(thm)],[c_0_740,def_lhs_atom19]) ).

cnf(c_0_741_0,axiom,
    c_Expr_Oexp_OSeq(X2,X1,X5) != c_Expr_Oexp_OLAss(X4,X3,X5),
    inference(unfold_definition,[status(thm)],[c_0_741,def_lhs_atom14]) ).

cnf(c_0_742_0,axiom,
    c_Expr_Oexp_Othrow(X1,X5) != c_Expr_Oexp_OCond(X4,X3,X2,X5),
    inference(unfold_definition,[status(thm)],[c_0_742,def_lhs_atom10]) ).

cnf(c_0_743_0,axiom,
    c_Map_Omap__add(X3,c_Map_Omap__add(X2,X1,X5,X4),X5,X4) = c_Map_Omap__add(c_Map_Omap__add(X3,X2,X5,X4),X1,X5,X4),
    inference(unfold_definition,[status(thm)],[c_0_743,def_lhs_atom8]) ).

cnf(c_0_744_0,axiom,
    c_Expr_Oexp_OCond(X4,X3,X2,X5) != c_Expr_Oexp_Othrow(X1,X5),
    inference(unfold_definition,[status(thm)],[c_0_744,def_lhs_atom7]) ).

cnf(c_0_745_0,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(c_Expr_Oexp_OVal(X1,tc_List_Olist(tc_String_Ochar)),X3,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X4),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    inference(unfold_definition,[status(thm)],[c_0_745,def_lhs_atom136]) ).

cnf(c_0_746_0,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X2,tc_List_Olist(tc_String_Ochar)),X1,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X1,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X4),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    inference(unfold_definition,[status(thm)],[c_0_746,def_lhs_atom135]) ).

cnf(c_0_747_0,axiom,
    c_Expr_Oexp_OVal(X1,X4) != c_Expr_Oexp_OSeq(X3,X2,X4),
    inference(unfold_definition,[status(thm)],[c_0_747,def_lhs_atom118]) ).

cnf(c_0_748_0,axiom,
    c_Expr_Oexp_OVal(X1,X4) != c_Expr_Oexp_OCast(X2,X3,X4),
    inference(unfold_definition,[status(thm)],[c_0_748,def_lhs_atom111]) ).

cnf(c_0_749_0,axiom,
    c_Expr_Oexp_Othrow(X1,X4) != c_Expr_Oexp_OLAss(X3,X2,X4),
    inference(unfold_definition,[status(thm)],[c_0_749,def_lhs_atom100]) ).

cnf(c_0_750_0,axiom,
    c_Expr_Oexp_OSeq(X3,X2,X4) != c_Expr_Oexp_Othrow(X1,X4),
    inference(unfold_definition,[status(thm)],[c_0_750,def_lhs_atom93]) ).

cnf(c_0_751_0,axiom,
    c_Map_Omap__le(X2,c_Map_Omap__add(X1,X2,X4,X3),X4,X3),
    inference(unfold_definition,[status(thm)],[c_0_751,def_lhs_atom78]) ).

cnf(c_0_752_0,axiom,
    c_Expr_Oexp_OSeq(X3,X2,X4) != c_Expr_Oexp_OVal(X1,X4),
    inference(unfold_definition,[status(thm)],[c_0_752,def_lhs_atom70]) ).

cnf(c_0_753_0,axiom,
    c_Expr_Oexp_OLAss(X3,X2,X4) != c_Expr_Oexp_OVal(X1,X4),
    inference(unfold_definition,[status(thm)],[c_0_753,def_lhs_atom58]) ).

cnf(c_0_754_0,axiom,
    c_Expr_Oexp_Othrow(X2,X4) != c_Expr_Oexp_OCast(X1,X3,X4),
    inference(unfold_definition,[status(thm)],[c_0_754,def_lhs_atom57]) ).

cnf(c_0_755_0,axiom,
    c_Expr_Oexp_Othrow(X1,X4) != c_Expr_Oexp_OSeq(X3,X2,X4),
    inference(unfold_definition,[status(thm)],[c_0_755,def_lhs_atom42]) ).

cnf(c_0_756_0,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X4,c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X1,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),X1,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X3),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    inference(unfold_definition,[status(thm)],[c_0_756,def_lhs_atom24]) ).

cnf(c_0_757_0,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X3,c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X1,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),X1,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X4),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    inference(unfold_definition,[status(thm)],[c_0_757,def_lhs_atom17]) ).

cnf(c_0_758_0,axiom,
    c_Expr_Oexp_OCast(X2,X3,X4) != c_Expr_Oexp_OVal(X1,X4),
    inference(unfold_definition,[status(thm)],[c_0_758,def_lhs_atom13]) ).

cnf(c_0_759_0,axiom,
    c_Expr_Oexp_OCast(X1,X3,X4) != c_Expr_Oexp_Othrow(X2,X4),
    inference(unfold_definition,[status(thm)],[c_0_759,def_lhs_atom12]) ).

cnf(c_0_760_0,axiom,
    c_Expr_Oexp_OVal(X1,X4) != c_Expr_Oexp_OLAss(X3,X2,X4),
    inference(unfold_definition,[status(thm)],[c_0_760,def_lhs_atom5]) ).

cnf(c_0_761_0,axiom,
    c_Expr_Oexp_OLAss(X3,X2,X4) != c_Expr_Oexp_Othrow(X1,X4),
    inference(unfold_definition,[status(thm)],[c_0_761,def_lhs_atom1]) ).

cnf(c_0_762_0,axiom,
    c_Map_Omap__le(X1,X1,X3,X2),
    inference(unfold_definition,[status(thm)],[c_0_762,def_lhs_atom145]) ).

cnf(c_0_763_0,axiom,
    c_TypeRel_Owiden(X1,c_Type_Oty_ONT,c_Type_Oty_OClass(X2),X3),
    inference(unfold_definition,[status(thm)],[c_0_763,def_lhs_atom139]) ).

cnf(c_0_764_0,axiom,
    c_TypeRel_Owiden(X2,X1,X1,X3),
    inference(unfold_definition,[status(thm)],[c_0_764,def_lhs_atom137]) ).

cnf(c_0_765_0,axiom,
    c_in(c_Pair(c_Pair(c_Expr_Oexp_Othrow(c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X1,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),X1,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X3),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    inference(unfold_definition,[status(thm)],[c_0_765,def_lhs_atom129]) ).

cnf(c_0_766_0,axiom,
    c_Expr_Oexp_OVal(X1,X3) != c_Expr_Oexp_Othrow(X2,X3),
    inference(unfold_definition,[status(thm)],[c_0_766,def_lhs_atom103]) ).

cnf(c_0_767_0,axiom,
    c_in(c_Pair(X2,X2,X3,X3),c_Transitive__Closure_Ortrancl(X1,X3),tc_prod(X3,X3)),
    inference(unfold_definition,[status(thm)],[c_0_767,def_lhs_atom96]) ).

cnf(c_0_768_0,axiom,
    c_in(c_Pair(X1,X1,X3,X3),c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3)),
    inference(unfold_definition,[status(thm)],[c_0_768,def_lhs_atom95]) ).

cnf(c_0_769_0,axiom,
    c_BigStep_Oeval(X3,c_Expr_Oexp_OVal(X1,tc_List_Olist(tc_String_Ochar)),X2,c_Expr_Oexp_OVal(X1,tc_List_Olist(tc_String_Ochar)),X2),
    inference(unfold_definition,[status(thm)],[c_0_769,def_lhs_atom83]) ).

cnf(c_0_770_0,axiom,
    c_Expr_Oexp_Othrow(X2,X3) != c_Expr_Oexp_OVal(X1,X3),
    inference(unfold_definition,[status(thm)],[c_0_770,def_lhs_atom73]) ).

cnf(c_0_771_0,axiom,
    c_fequal(X1,X1,X2),
    inference(unfold_definition,[status(thm)],[c_0_771,def_lhs_atom159]) ).

cnf(c_0_772_0,axiom,
    c_COMBI(X1,X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_772,def_lhs_atom144]) ).

cnf(c_0_773_0,axiom,
    c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Ortrancl(X1,X2),X2) = c_Transitive__Closure_Ortrancl(X1,X2),
    inference(unfold_definition,[status(thm)],[c_0_773,def_lhs_atom122]) ).

cnf(c_0_774_0,axiom,
    c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_774,def_lhs_atom106]) ).

cnf(c_0_775_0,axiom,
    c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_775,def_lhs_atom105]) ).

cnf(c_0_776_0,axiom,
    c_Relation_ODomain(c_Relation_OId__on(X1,X2),X2,X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_776,def_lhs_atom51]) ).

cnf(c_0_777_0,axiom,
    c_Relation_Orefl__on(X1,c_Relation_OId__on(X1,X2),X2),
    inference(unfold_definition,[status(thm)],[c_0_777,def_lhs_atom31]) ).

cnf(c_0_778_0,axiom,
    c_Relation_ORange(c_Relation_OId__on(X1,X2),X2,X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_778,def_lhs_atom11]) ).

cnf(c_0_779_0,axiom,
    c_Objects_Ohext(X1,X1),
    inference(unfold_definition,[status(thm)],[c_0_779,def_lhs_atom142]) ).

cnf(c_0_780_0,axiom,
    c_Type_Oty_OClass(X1) != c_Type_Oty_ONT,
    inference(unfold_definition,[status(thm)],[c_0_780,def_lhs_atom138]) ).

cnf(c_0_781_0,axiom,
    c_Type_Oty_OClass(X1) != c_Type_Oty_OVoid,
    inference(unfold_definition,[status(thm)],[c_0_781,def_lhs_atom132]) ).

cnf(c_0_782_0,axiom,
    c_Type_Oty_ONT != c_Type_Oty_OClass(X1),
    inference(unfold_definition,[status(thm)],[c_0_782,def_lhs_atom125]) ).

cnf(c_0_783_0,axiom,
    c_Type_Oty_OVoid != c_Type_Oty_OClass(X1),
    inference(unfold_definition,[status(thm)],[c_0_783,def_lhs_atom124]) ).

cnf(c_0_784_0,axiom,
    class_HOL_Oord(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_784,def_lhs_atom158]) ).

cnf(c_0_785_0,axiom,
    class_Orderings_Oorder(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_785,def_lhs_atom157]) ).

cnf(c_0_786_0,axiom,
    class_Orderings_Opreorder(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_786,def_lhs_atom156]) ).

cnf(c_0_787_0,axiom,
    class_HOL_Oord(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_787,def_lhs_atom155]) ).

cnf(c_0_788_0,axiom,
    class_Orderings_Oorder(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_788,def_lhs_atom154]) ).

cnf(c_0_789_0,axiom,
    class_Orderings_Olinorder(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_789,def_lhs_atom153]) ).

cnf(c_0_790_0,axiom,
    class_Orderings_Opreorder(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_790,def_lhs_atom152]) ).

cnf(c_0_791_0,axiom,
    c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OFAss(v_ea____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_T____),
    inference(unfold_definition,[status(thm)],[c_0_791,def_lhs_atom150]) ).

cnf(c_0_792_0,axiom,
    c_COMBI(v_P,t_a) = v_P,
    inference(unfold_definition,[status(thm)],[c_0_792,def_lhs_atom151]) ).

cnf(c_0_793_0,axiom,
    c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OFAss(v_ea____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_T____),
    inference(unfold_definition,[status(thm)],[c_0_793,def_lhs_atom150]) ).

cnf(c_0_794_0,axiom,
    c_TypeSafe__Mirabelle_Osconf(v_P,v_E____,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),
    inference(unfold_definition,[status(thm)],[c_0_794,def_lhs_atom149]) ).

cnf(c_0_795_0,axiom,
    c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_ONT),
    inference(unfold_definition,[status(thm)],[c_0_795,def_lhs_atom148]) ).

cnf(c_0_796_0,axiom,
    v_T____ = c_Type_Oty_OVoid,
    inference(unfold_definition,[status(thm)],[c_0_796,def_lhs_atom146]) ).

cnf(c_0_797_0,axiom,
    c_in(c_Pair(c_Pair(v_ea____,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(v_e_Ha____,c_Pair(v_h_Ha____,v_l_Ha____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(v_P),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    inference(unfold_definition,[status(thm)],[c_0_797,def_lhs_atom143]) ).

cnf(c_0_798_0,axiom,
    c_Type_Oty_OVoid != c_Type_Oty_ONT,
    inference(unfold_definition,[status(thm)],[c_0_798,def_lhs_atom140]) ).

cnf(c_0_799_0,axiom,
    c_Type_Oty_ONT != c_Type_Oty_OVoid,
    inference(unfold_definition,[status(thm)],[c_0_799,def_lhs_atom128]) ).

% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
    ! [X24,X75,X76,X77,X14,X15,X9,X11,X17,X18] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X15,X17,X18,X14,tc_List_Olist(tc_String_Ochar)),X77,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X9,tc_List_Olist(tc_String_Ochar)),X75,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X14,X76,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X9,tc_List_Olist(tc_String_Ochar)),X75,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X15,X77,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X24,tc_List_Olist(tc_String_Ochar)),X76,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('<stdin>',cls_FAssRedsThrow2_0) ).

fof(c_0_1_002,axiom,
    ! [X74,X75,X76,X77,X14,X15,X9,X49,X11] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X15,X49,X14,tc_List_Olist(tc_String_Ochar)),X77,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X9,tc_List_Olist(tc_String_Ochar)),X75,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X14,X76,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X9,tc_List_Olist(tc_String_Ochar)),X75,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X15,X77,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X74,tc_List_Olist(tc_String_Ochar)),X76,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('<stdin>',cls_BinOpRedsThrow2_0) ).

fof(c_0_2_003,axiom,
    ! [X74,X75,X76,X77,X78,X14,X15,X11] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X15,X14,tc_List_Olist(tc_String_Ochar)),X77,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X78,X75,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X14,X76,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X78,X75,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X15,X77,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X74,tc_List_Olist(tc_String_Ochar)),X76,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('<stdin>',cls_SeqReds2_0) ).

fof(c_0_3_004,axiom,
    ! [X29,X61,X30,X7,X8,X31,X9,X11] :
      ( c_in(c_Pair(c_Pair(X9,c_Pair(X8,c_Map_Omap__add(X61,X30,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,c_Pair(X7,c_Map_Omap__add(X61,X29,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,c_Pair(X8,X30,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,c_Pair(X7,X29,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('<stdin>',cls_Red__lcl__add_0) ).

fof(c_0_4_005,axiom,
    ! [X29,X61,X30,X7,X8,X31,X9,X11] :
      ( c_in(c_Pair(c_Pair(X9,c_Pair(X8,c_Map_Omap__add(X61,X30,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,c_Pair(X7,c_Map_Omap__add(X61,X29,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,c_Pair(X8,X30,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,c_Pair(X7,X29,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('<stdin>',cls_red__lcl__add_0) ).

fof(c_0_5_006,axiom,
    ! [X24,X47,X48,X31,X9,X11,X17,X18] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X24,tc_List_Olist(tc_String_Ochar)),X17,X18,X9,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X24,tc_List_Olist(tc_String_Ochar)),X17,X18,X31,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('<stdin>',cls_FAssReds2_0) ).

fof(c_0_6_007,axiom,
    ! [X47,X48,X31,X14,X9,X51,X11,X46] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OTryCatch(X9,X46,X51,X14,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OTryCatch(X31,X46,X51,X14,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('<stdin>',cls_TryReds_0) ).

fof(c_0_7_008,axiom,
    ! [X47,X48,X31,X14,X9,X11,X17,X18] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X9,X17,X18,X14,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAss(X31,X17,X18,X14,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('<stdin>',cls_FAssReds1_0) ).

fof(c_0_8_009,axiom,
    ! [X24,X47,X48,X14,X9,X51,X11,X46] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OTryCatch(X9,X46,X51,X14,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X24,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X24,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('<stdin>',cls_TryRedsVal_0) ).

fof(c_0_9_010,axiom,
    ! [X47,X48,X31,X14,X9,X11,X17,X18] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X9,X17,X18,X14,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X31,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X31,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('<stdin>',cls_FAssRedsThrow1_0) ).

fof(c_0_10_011,axiom,
    ! [X24,X47,X48,X31,X9,X49,X11] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X24,tc_List_Olist(tc_String_Ochar)),X49,X9,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X24,tc_List_Olist(tc_String_Ochar)),X49,X31,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('<stdin>',cls_BinOp2Reds_0) ).

fof(c_0_11_012,axiom,
    ! [X47,X48,X45,X31,X9,X11,X50] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCall(X9,X50,X45,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCall(X31,X50,X45,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('<stdin>',cls_CallRedsObj_0) ).

fof(c_0_12_013,axiom,
    ! [X47,X48,X31,X14,X9,X49,X11] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X9,X49,X14,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OBinOp(X31,X49,X14,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('<stdin>',cls_BinOp1Reds_0) ).

fof(c_0_13_014,axiom,
    ! [X47,X48,X31,X14,X15,X9,X11] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X9,X15,X14,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCond(X31,X15,X14,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('<stdin>',cls_CondReds_0) ).

fof(c_0_14_015,axiom,
    ! [X47,X48,X31,X9,X11,X17,X18] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAcc(X9,X17,X18,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAcc(X31,X17,X18,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('<stdin>',cls_FAccReds_0) ).

fof(c_0_15_016,axiom,
    ! [X47,X48,X31,X14,X9,X49,X11] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X9,X49,X14,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X31,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X31,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('<stdin>',cls_BinOpRedsThrow1_0) ).

fof(c_0_16_017,axiom,
    ! [X47,X48,X14,X15,X9,X22,X11] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X9,X15,X14,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X22,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X22,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('<stdin>',cls_CondRedsThrow_0) ).

fof(c_0_17_018,axiom,
    ! [X76,X92,X45,X9,X22,X11,X50] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCall(X9,X50,X45,tc_List_Olist(tc_String_Ochar)),X92,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X22,tc_List_Olist(tc_String_Ochar)),X76,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X92,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X22,tc_List_Olist(tc_String_Ochar)),X76,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('<stdin>',cls_CallRedsThrowObj_0) ).

fof(c_0_18_019,axiom,
    ! [X47,X48,X9,X22,X11,X17,X18] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAcc(X9,X17,X18,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X22,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X22,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('<stdin>',cls_FAccRedsThrow_0) ).

fof(c_0_19_020,axiom,
    ! [X47,X48,X31,X9,X11,X46] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X46,X9,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCast(X46,X31,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('<stdin>',cls_CastReds_0) ).

fof(c_0_20_021,axiom,
    ! [X47,X48,X31,X9,X51,X11] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X51,X9,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OLAss(X51,X31,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('<stdin>',cls_LAssReds_0) ).

fof(c_0_21_022,axiom,
    ! [X47,X48,X31,X14,X9,X11] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X9,X14,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OSeq(X31,X14,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('<stdin>',cls_SeqReds_0) ).

fof(c_0_22_023,axiom,
    ! [X47,X48,X9,X22,X51,X11] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X51,X9,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X22,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X22,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('<stdin>',cls_LAssRedsThrow_0) ).

fof(c_0_23_024,axiom,
    ! [X47,X48,X9,X22,X11,X46] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X46,X9,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X22,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X22,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('<stdin>',cls_CastRedsThrow_0) ).

fof(c_0_24_025,axiom,
    ! [X47,X48,X31,X14,X9,X11] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X9,X14,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X31,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X31,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('<stdin>',cls_SeqRedsThrow_0) ).

fof(c_0_25_026,axiom,
    ! [X47,X48,X9,X22,X11] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_Othrow(X9,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X22,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X22,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('<stdin>',cls_ThrowRedsThrow_0) ).

fof(c_0_26_027,axiom,
    ! [X47,X48,X31,X9,X11] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_Othrow(X9,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X31,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('<stdin>',cls_ThrowReds_0) ).

fof(c_0_27_028,axiom,
    ! [X24,X47,X48,X31,X9,X11,X17,X18] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X24,tc_List_Olist(tc_String_Ochar)),X17,X18,X9,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X24,tc_List_Olist(tc_String_Ochar)),X17,X18,X31,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('<stdin>',cls_red__reds_OFAssRed2_0) ).

fof(c_0_28_029,axiom,
    ! [X47,X48,X31,X14,X9,X51,X11,X46] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OTryCatch(X9,X46,X51,X14,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OTryCatch(X31,X46,X51,X14,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('<stdin>',cls_red__reds_OTryRed_0) ).

fof(c_0_29_030,axiom,
    ! [X47,X48,X31,X14,X9,X11,X17,X18] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X9,X17,X18,X14,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAss(X31,X17,X18,X14,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('<stdin>',cls_red__reds_OFAssRed1_0) ).

fof(c_0_30_031,axiom,
    ! [X74,X47,X48,X31,X9,X49,X11] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X74,tc_List_Olist(tc_String_Ochar)),X49,X9,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X74,tc_List_Olist(tc_String_Ochar)),X49,X31,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('<stdin>',cls_red__reds_OBinOpRed2_0) ).

fof(c_0_31_032,axiom,
    ! [X47,X48,X31,X14,X15,X9,X11] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X9,X15,X14,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCond(X31,X15,X14,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('<stdin>',cls_red__reds_OCondRed_0) ).

fof(c_0_32_033,axiom,
    ! [X47,X48,X31,X9,X11,X17,X18] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAcc(X9,X17,X18,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAcc(X31,X17,X18,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('<stdin>',cls_red__reds_OFAccRed_0) ).

fof(c_0_33_034,axiom,
    ! [X47,X48,X45,X31,X9,X11,X50] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCall(X9,X50,X45,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCall(X31,X50,X45,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('<stdin>',cls_red__reds_OCallObj_0) ).

fof(c_0_34_035,axiom,
    ! [X47,X48,X31,X14,X9,X49,X11] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X9,X49,X14,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OBinOp(X31,X49,X14,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('<stdin>',cls_red__reds_OBinOpRed1_0) ).

fof(c_0_35_036,axiom,
    ! [X47,X48,X31,X9,X11,X46] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X46,X9,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCast(X46,X31,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('<stdin>',cls_red__reds_OCastRed_0) ).

fof(c_0_36_037,axiom,
    ! [X47,X48,X31,X14,X9,X11] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X9,X14,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OSeq(X31,X14,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('<stdin>',cls_red__reds_OSeqRed_0) ).

fof(c_0_37_038,axiom,
    ! [X47,X48,X31,X9,X51,X11] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X51,X9,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OLAss(X51,X31,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('<stdin>',cls_red__reds_OLAssRed_0) ).

fof(c_0_38_039,axiom,
    ! [X47,X48,X31,X9,X11] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_Othrow(X9,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X31,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('<stdin>',cls_red__reds_OThrowRed_0) ).

fof(c_0_39_040,axiom,
    ! [X24,X8,X9,X10,X11,X17,X12,X18] :
      ( c_WellTypeRT_OWTrt(X11,X8,X12,X24,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(X12,X11,X8,X24))
      | c_TypeRel_Ohas__field(X11,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X18,X12,X17,X11,X9,X8,X24),X17,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X18,X12,X17,X11,X9,X8,X24),X18,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,c_Expr_Oexp_OFAss(X9,X17,X18,X24,tc_List_Olist(tc_String_Ochar)),X10) ),
    file('<stdin>',cls_WTrt__elim__cases_I8_J_8) ).

fof(c_0_40_041,axiom,
    ! [X24,X8,X9,X10,X11,X17,X12,X18] :
      ( c_WellTypeRT_OWTrt(X11,X8,X12,X9,c_Type_Oty_ONT)
      | c_TypeRel_Ohas__field(X11,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X18,X12,X17,X11,X9,X8,X24),X17,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X18,X12,X17,X11,X9,X8,X24),X18,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,c_Expr_Oexp_OFAss(X9,X17,X18,X24,tc_List_Olist(tc_String_Ochar)),X10) ),
    file('<stdin>',cls_WTrt__elim__cases_I8_J_7) ).

fof(c_0_41_042,axiom,
    ! [X24,X8,X9,X10,X11,X17,X12,X18] :
      ( X10 = c_Type_Oty_OVoid
      | c_TypeRel_Ohas__field(X11,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X18,X12,X17,X11,X9,X8,X24),X17,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X18,X12,X17,X11,X9,X8,X24),X18,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,c_Expr_Oexp_OFAss(X9,X17,X18,X24,tc_List_Olist(tc_String_Ochar)),X10) ),
    file('<stdin>',cls_WTrt__elim__cases_I8_J_6) ).

fof(c_0_42_043,axiom,
    ! [X24,X8,X9,X10,X11,X17,X12,X18] :
      ( c_WellTypeRT_OWTrt(X11,X8,X12,X24,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(X12,X11,X8,X24))
      | c_WellTypeRT_OWTrt(X11,X8,X12,X9,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X18,X12,X17,X11,X9,X8,X24)))
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,c_Expr_Oexp_OFAss(X9,X17,X18,X24,tc_List_Olist(tc_String_Ochar)),X10) ),
    file('<stdin>',cls_WTrt__elim__cases_I8_J_5) ).

fof(c_0_43_044,axiom,
    ! [X24,X8,X9,X10,X11,X17,X12,X18] :
      ( c_WellTypeRT_OWTrt(X11,X8,X12,X9,c_Type_Oty_ONT)
      | c_WellTypeRT_OWTrt(X11,X8,X12,X9,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X18,X12,X17,X11,X9,X8,X24)))
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,c_Expr_Oexp_OFAss(X9,X17,X18,X24,tc_List_Olist(tc_String_Ochar)),X10) ),
    file('<stdin>',cls_WTrt__elim__cases_I8_J_4) ).

fof(c_0_44_045,axiom,
    ! [X24,X8,X9,X10,X11,X17,X12,X18] :
      ( c_WellTypeRT_OWTrt(X11,X8,X12,X24,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(X12,X11,X8,X24))
      | c_TypeRel_Owiden(X11,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X18,X12,X17,X11,X9,X8,X24),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X18,X12,X17,X11,X9,X8,X24),tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,c_Expr_Oexp_OFAss(X9,X17,X18,X24,tc_List_Olist(tc_String_Ochar)),X10) ),
    file('<stdin>',cls_WTrt__elim__cases_I8_J_14) ).

fof(c_0_45_046,axiom,
    ! [X24,X8,X9,X10,X11,X17,X12,X18] :
      ( c_WellTypeRT_OWTrt(X11,X8,X12,X9,c_Type_Oty_ONT)
      | c_TypeRel_Owiden(X11,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X18,X12,X17,X11,X9,X8,X24),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X18,X12,X17,X11,X9,X8,X24),tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,c_Expr_Oexp_OFAss(X9,X17,X18,X24,tc_List_Olist(tc_String_Ochar)),X10) ),
    file('<stdin>',cls_WTrt__elim__cases_I8_J_13) ).

fof(c_0_46_047,axiom,
    ! [X24,X8,X9,X10,X11,X17,X12,X18] :
      ( X10 = c_Type_Oty_OVoid
      | c_WellTypeRT_OWTrt(X11,X8,X12,X9,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X18,X12,X17,X11,X9,X8,X24)))
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,c_Expr_Oexp_OFAss(X9,X17,X18,X24,tc_List_Olist(tc_String_Ochar)),X10) ),
    file('<stdin>',cls_WTrt__elim__cases_I8_J_3) ).

fof(c_0_47_048,axiom,
    ! [X24,X8,X9,X10,X11,X17,X12,X18] :
      ( X10 = c_Type_Oty_OVoid
      | c_TypeRel_Owiden(X11,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X18,X12,X17,X11,X9,X8,X24),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X18,X12,X17,X11,X9,X8,X24),tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,c_Expr_Oexp_OFAss(X9,X17,X18,X24,tc_List_Olist(tc_String_Ochar)),X10) ),
    file('<stdin>',cls_WTrt__elim__cases_I8_J_12) ).

fof(c_0_48_049,axiom,
    ! [X29,X30,X7,X8,X31,X9,X10,X11,X12] :
      ( c_Conform_Olconf(X11,X7,X29,X12,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_Conform_Olconf(X11,X8,X30,X12,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,X9,X10)
      | ~ c_in(c_Pair(c_Pair(X9,c_Pair(X8,X30,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,c_Pair(X7,X29,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('<stdin>',cls_red__preserves__lconf_0) ).

fof(c_0_49_050,axiom,
    ! [X8,X9,X10,X11,X17,X12,X18] :
      ( c_WellTypeRT_OWTrt(X11,X8,X12,X9,c_Type_Oty_ONT)
      | c_WellTypeRT_OWTrt(X11,X8,X12,X9,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1(X18,X12,X17,X11,X10,X9,X8)))
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,c_Expr_Oexp_OFAcc(X9,X17,X18,tc_List_Olist(tc_String_Ochar)),X10) ),
    file('<stdin>',cls_WTrt__elim__cases_I7_J_0) ).

fof(c_0_50_051,axiom,
    ! [X29,X30,X7,X8,X31,X9,X10,X11,X12] :
      ( c_Conform_Ohconf(X11,X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_Conform_Ohconf(X11,X8,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,X9,X10)
      | ~ c_in(c_Pair(c_Pair(X9,c_Pair(X8,X30,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,c_Pair(X7,X29,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('<stdin>',cls_red__preserves__hconf_0) ).

fof(c_0_51_052,axiom,
    ! [X60,X61,X62,X63,X31,X9,X11] :
      ( c_lessequals(c_Map_Odom(X61,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Map_Odom(X60,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
      | ~ c_in(c_Pair(c_Pair(X9,c_Pair(X63,X61,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,c_Pair(X62,X60,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('<stdin>',cls_red__lcl__incr_0) ).

fof(c_0_52_053,axiom,
    ! [X29,X30,X7,X8,X31,X9,X11] :
      ( c_Objects_Ohext(X8,X7)
      | ~ c_in(c_Pair(c_Pair(X9,c_Pair(X8,X30,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,c_Pair(X7,X29,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('<stdin>',cls_red__hext__incr_0) ).

fof(c_0_53_054,axiom,
    ! [X58,X47,X48,X59,X31,X9,X11] :
      ( c_BigStep_Oeval(X11,X9,X48,X31,X47)
      | ~ c_BigStep_Oeval(X11,X59,X58,X31,X47)
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X59,X58,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X11,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    file('<stdin>',cls_extend__eval_0) ).

fof(c_0_54_055,axiom,
    ! [X58,X47,X48,X59,X31,X9,X11] :
      ( c_BigStep_Oeval(X11,X9,X48,X31,X47)
      | ~ c_BigStep_Oeval(X11,X59,X58,X31,X47)
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X59,X58,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X11,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    file('<stdin>',cls_extend__1__eval_0) ).

fof(c_0_55_056,axiom,
    ! [X47,X48,X31,X9,X10,X11,X12] :
      ( c_TypeSafe__Mirabelle_Osconf(X11,X12,X47)
      | ~ c_TypeSafe__Mirabelle_Osconf(X11,X12,X48)
      | ~ c_WellTypeRT_OWTrt(X11,c_State_Ohp(X48),X12,X9,X10)
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('<stdin>',cls_red__preserves__sconf_0) ).

fof(c_0_56_057,axiom,
    ! [X8,X9,X10,X11,X17,X12,X18] :
      ( c_WellTypeRT_OWTrt(X11,X8,X12,X9,c_Type_Oty_ONT)
      | c_TypeRel_Ohas__field(X11,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1(X18,X12,X17,X11,X10,X9,X8),X17,X10,X18,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,c_Expr_Oexp_OFAcc(X9,X17,X18,tc_List_Olist(tc_String_Ochar)),X10) ),
    file('<stdin>',cls_WTrt__elim__cases_I7_J_1) ).

fof(c_0_57_058,axiom,
    ! [X24,X8,X9,X10,X11,X17,X12,X18] :
      ( c_WellTypeRT_OWTrt(X11,X8,X12,X24,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(X12,X11,X8,X24))
      | c_WellTypeRT_OWTrt(X11,X8,X12,X24,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X18,X12,X17,X11,X9,X8,X24))
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,c_Expr_Oexp_OFAss(X9,X17,X18,X24,tc_List_Olist(tc_String_Ochar)),X10) ),
    file('<stdin>',cls_WTrt__elim__cases_I8_J_11) ).

fof(c_0_58_059,axiom,
    ! [X24,X8,X9,X10,X11,X17,X12,X18] :
      ( c_WellTypeRT_OWTrt(X11,X8,X12,X9,c_Type_Oty_ONT)
      | c_WellTypeRT_OWTrt(X11,X8,X12,X24,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X18,X12,X17,X11,X9,X8,X24))
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,c_Expr_Oexp_OFAss(X9,X17,X18,X24,tc_List_Olist(tc_String_Ochar)),X10) ),
    file('<stdin>',cls_WTrt__elim__cases_I8_J_10) ).

fof(c_0_59_060,axiom,
    ! [X24,X8,X9,X10,X11,X17,X12,X18] :
      ( X10 = c_Type_Oty_OVoid
      | c_WellTypeRT_OWTrt(X11,X8,X12,X24,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X18,X12,X17,X11,X9,X8,X24))
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,c_Expr_Oexp_OFAss(X9,X17,X18,X24,tc_List_Olist(tc_String_Ochar)),X10) ),
    file('<stdin>',cls_WTrt__elim__cases_I8_J_9) ).

fof(c_0_60_061,axiom,
    ! [X47,X48,X31,X9,X11] :
      ( c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_BigStep_Oeval(X11,X9,X48,X31,X47)
      | ~ c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X11,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    file('<stdin>',cls_big__by__small_0) ).

fof(c_0_61_062,axiom,
    ! [X24,X22,X10,X11,X17,X12,X18] :
      ( c_TypeRel_Osees__field(X11,c_WellType_Osko__WellType__XWT__elim__cases__8__1(X18,X12,X17,X11,X22,X24),X17,c_WellType_Osko__WellType__XWT__elim__cases__8__2(X18,X12,X17,X11,X22,X24),X18,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellType_OWT(X11,X12,c_Expr_Oexp_OFAss(X22,X17,X18,X24,tc_List_Olist(tc_String_Ochar)),X10) ),
    file('<stdin>',cls_WT__elim__cases_I8_J_2) ).

fof(c_0_62_063,axiom,
    ! [X24,X22,X10,X11,X17,X12,X18] :
      ( c_TypeRel_Owiden(X11,c_WellType_Osko__WellType__XWT__elim__cases__8__3(X18,X12,X17,X11,X22,X24),c_WellType_Osko__WellType__XWT__elim__cases__8__2(X18,X12,X17,X11,X22,X24),tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellType_OWT(X11,X12,c_Expr_Oexp_OFAss(X22,X17,X18,X24,tc_List_Olist(tc_String_Ochar)),X10) ),
    file('<stdin>',cls_WT__elim__cases_I8_J_4) ).

fof(c_0_63_064,axiom,
    ! [X24,X22,X10,X11,X17,X12,X18] :
      ( c_WellType_OWT(X11,X12,X22,c_Type_Oty_OClass(c_WellType_Osko__WellType__XWT__elim__cases__8__1(X18,X12,X17,X11,X22,X24)))
      | ~ c_WellType_OWT(X11,X12,c_Expr_Oexp_OFAss(X22,X17,X18,X24,tc_List_Olist(tc_String_Ochar)),X10) ),
    file('<stdin>',cls_WT__elim__cases_I8_J_1) ).

fof(c_0_64_065,axiom,
    ! [X22,X10,X11,X17,X12,X18] :
      ( c_WellType_OWT(X11,X12,X22,c_Type_Oty_OClass(c_WellType_Osko__WellType__XWT__elim__cases__7__1(X18,X12,X17,X11,X10,X22)))
      | ~ c_WellType_OWT(X11,X12,c_Expr_Oexp_OFAcc(X22,X17,X18,tc_List_Olist(tc_String_Ochar)),X10) ),
    file('<stdin>',cls_WT__elim__cases_I7_J_0) ).

fof(c_0_65_066,axiom,
    ! [X22,X10,X11,X17,X12,X18] :
      ( c_TypeRel_Osees__field(X11,c_WellType_Osko__WellType__XWT__elim__cases__7__1(X18,X12,X17,X11,X10,X22),X17,X10,X18,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellType_OWT(X11,X12,c_Expr_Oexp_OFAcc(X22,X17,X18,tc_List_Olist(tc_String_Ochar)),X10) ),
    file('<stdin>',cls_WT__elim__cases_I7_J_1) ).

fof(c_0_66_067,axiom,
    ! [X79,X10,X11,X17,X95,X18,X46,X3] :
      ( X79 = X10
      | ~ c_TypeRel_Osees__field(X11,X46,X17,X79,X95,X3)
      | ~ c_TypeRel_Osees__field(X11,X46,X17,X10,X18,X3) ),
    file('<stdin>',cls_sees__field__fun_0) ).

fof(c_0_67_068,axiom,
    ! [X79,X10,X11,X17,X95,X18,X46,X3] :
      ( X95 = X18
      | ~ c_TypeRel_Osees__field(X11,X46,X17,X79,X95,X3)
      | ~ c_TypeRel_Osees__field(X11,X46,X17,X10,X18,X3) ),
    file('<stdin>',cls_sees__field__fun_1) ).

fof(c_0_68_069,axiom,
    ! [X8,X14,X15,X6,X10,X11,X17,X12,X18,X46] :
      ( c_WellTypeRT_OWTrt(X11,X8,X12,c_Expr_Oexp_OFAss(X15,X17,X18,X14,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
      | ~ c_TypeRel_Owiden(X11,X6,X10,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,X14,X6)
      | ~ c_TypeRel_Ohas__field(X11,X46,X17,X10,X18,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,X15,c_Type_Oty_OClass(X46)) ),
    file('<stdin>',cls_WTrtFAss_0) ).

fof(c_0_69_070,axiom,
    ! [X8,X14,X15,X6,X10,X11,X17,X12,X18,X46] :
      ( c_Progress_OWTrt_H(X11,X8,X12,c_Expr_Oexp_OFAss(X15,X17,X18,X14,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
      | ~ c_TypeRel_Owiden(X11,X6,X10,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_Progress_OWTrt_H(X11,X8,X12,X14,X6)
      | ~ c_TypeRel_Ohas__field(X11,X46,X17,X10,X18,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_Progress_OWTrt_H(X11,X8,X12,X15,c_Type_Oty_OClass(X46)) ),
    file('<stdin>',cls_WTrt_H__WTrts_H_Ointros_I10_J_0) ).

fof(c_0_70_071,axiom,
    ! [X24,X22,X10,X11,X17,X12,X18] :
      ( c_WellType_OWT(X11,X12,X24,c_WellType_Osko__WellType__XWT__elim__cases__8__3(X18,X12,X17,X11,X22,X24))
      | ~ c_WellType_OWT(X11,X12,c_Expr_Oexp_OFAss(X22,X17,X18,X24,tc_List_Olist(tc_String_Ochar)),X10) ),
    file('<stdin>',cls_WT__elim__cases_I8_J_3) ).

fof(c_0_71_072,axiom,
    ! [X10,X11,X17,X18,X46,X3] :
      ( c_TypeRel_Ohas__field(X11,X46,X17,X10,X18,X3)
      | ~ c_TypeRel_Osees__field(X11,X46,X17,X10,X18,X3) ),
    file('<stdin>',cls_has__visible__field_0) ).

fof(c_0_72_073,axiom,
    ! [X10,X11,X17,X18,X46,X3] :
      ( c_TypeRel_Osees__field(X11,X18,X17,X10,X18,X3)
      | ~ c_TypeRel_Osees__field(X11,X46,X17,X10,X18,X3) ),
    file('<stdin>',cls_sees__field__idemp_0) ).

fof(c_0_73_074,axiom,
    ! [X14,X15,X79,X10,X11,X17,X12,X18,X46] :
      ( c_WellType_OWT(X11,X12,c_Expr_Oexp_OFAss(X15,X17,X18,X14,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
      | ~ c_TypeRel_Owiden(X11,X79,X10,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellType_OWT(X11,X12,X14,X79)
      | ~ c_TypeRel_Osees__field(X11,X46,X17,X10,X18,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellType_OWT(X11,X12,X15,c_Type_Oty_OClass(X46)) ),
    file('<stdin>',cls_WTFAss_0) ).

fof(c_0_74_075,axiom,
    ! [X8,X9,X10,X11,X17,X12,X18,X46] :
      ( c_Progress_OWTrt_H(X11,X8,X12,c_Expr_Oexp_OFAcc(X9,X17,X18,tc_List_Olist(tc_String_Ochar)),X10)
      | ~ c_TypeRel_Ohas__field(X11,X46,X17,X10,X18,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_Progress_OWTrt_H(X11,X8,X12,X9,c_Type_Oty_OClass(X46)) ),
    file('<stdin>',cls_WTrt_H__WTrts_H_Ointros_I8_J_0) ).

fof(c_0_75_076,axiom,
    ! [X8,X9,X10,X11,X17,X12,X18,X46] :
      ( c_WellTypeRT_OWTrt(X11,X8,X12,c_Expr_Oexp_OFAcc(X9,X17,X18,tc_List_Olist(tc_String_Ochar)),X10)
      | ~ c_TypeRel_Ohas__field(X11,X46,X17,X10,X18,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,X9,c_Type_Oty_OClass(X46)) ),
    file('<stdin>',cls_WTrtFAcc_0) ).

fof(c_0_76_077,axiom,
    ! [X9,X10,X11,X17,X12,X18,X46] :
      ( c_WellType_OWT(X11,X12,c_Expr_Oexp_OFAcc(X9,X17,X18,tc_List_Olist(tc_String_Ochar)),X10)
      | ~ c_TypeRel_Osees__field(X11,X46,X17,X10,X18,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellType_OWT(X11,X12,X9,c_Type_Oty_OClass(X46)) ),
    file('<stdin>',cls_WTFAcc_0) ).

fof(c_0_77_078,axiom,
    ! [X60,X61,X62,X63,X44,X45,X11] :
      ( c_lessequals(c_Map_Odom(X61,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Map_Odom(X60,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
      | ~ c_BigStep_Oevals(X11,X45,c_Pair(X63,X61,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),X44,c_Pair(X62,X60,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
    file('<stdin>',cls_evals__lcl__incr_0) ).

fof(c_0_78_079,axiom,
    ! [X60,X61,X62,X63,X31,X9,X11] :
      ( c_lessequals(c_Map_Odom(X61,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Map_Odom(X60,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
      | ~ c_BigStep_Oeval(X11,X9,c_Pair(X63,X61,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),X31,c_Pair(X62,X60,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
    file('<stdin>',cls_eval__lcl__incr_0) ).

fof(c_0_79_080,axiom,
    ! [X29,X30,X7,X8,X44,X45,X11] :
      ( c_Objects_Ohext(X8,X7)
      | ~ c_BigStep_Oevals(X11,X45,c_Pair(X8,X30,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),X44,c_Pair(X7,X29,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
    file('<stdin>',cls_evals__hext_0) ).

fof(c_0_80_081,axiom,
    ! [X29,X30,X7,X8,X31,X9,X11] :
      ( c_Objects_Ohext(X8,X7)
      | ~ c_BigStep_Oeval(X11,X9,c_Pair(X8,X30,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),X31,c_Pair(X7,X29,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
    file('<stdin>',cls_eval__hext_0) ).

fof(c_0_81_082,axiom,
    ! [X10,X12] :
      ( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,X12,v_e_Ha____,v_sko__local__XFAssRed1__Xhyps__2__1(X12,v_P,X10,v_e_Ha____,v_h_Ha____))
      | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X12,v_ea____,X10)
      | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X12,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
    file('<stdin>',cls_FAssRed1_Ohyps_I2_J_0) ).

fof(c_0_82_083,axiom,
    ! [X10,X12] :
      ( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,X12,v_e_Ha____,v_sko__local__XFAssRed1__2__1(X12,v_P,X10,v_e_Ha____,v_h_Ha____))
      | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X12,v_ea____,X10)
      | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X12,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
    file('<stdin>',cls_FAssRed1_I2_J_0) ).

fof(c_0_83_084,axiom,
    ! [X27,X28] :
      ( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,X28,v_e_Ha____,v_sko__local__XIH__1(X28,v_P,X27,v_e_Ha____,v_h_Ha____))
      | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X28,v_ea____,X27)
      | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X28,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
    file('<stdin>',cls_IH_0) ).

fof(c_0_84_085,axiom,
    ! [X27,X28] :
      ( c_TypeRel_Owiden(v_P,v_sko__local__XIH__1(X28,v_P,X27,v_e_Ha____,v_h_Ha____),X27,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X28,v_ea____,X27)
      | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X28,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
    file('<stdin>',cls_IH_1) ).

fof(c_0_85_086,axiom,
    ! [X10,X12] :
      ( c_TypeRel_Owiden(v_P,v_sko__local__XFAssRed1__Xhyps__2__1(X12,v_P,X10,v_e_Ha____,v_h_Ha____),X10,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X12,v_ea____,X10)
      | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X12,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
    file('<stdin>',cls_FAssRed1_Ohyps_I2_J_1) ).

fof(c_0_86_087,axiom,
    ! [X10,X12] :
      ( c_TypeRel_Owiden(v_P,v_sko__local__XFAssRed1__2__1(X12,v_P,X10,v_e_Ha____,v_h_Ha____),X10,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X12,v_ea____,X10)
      | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X12,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
    file('<stdin>',cls_FAssRed1_I2_J_1) ).

fof(c_0_87_088,axiom,
    ! [X24,X75,X76,X77,X31,X14,X15,X11,X17,X18] :
      ( c_BigStep_Oeval(X11,c_Expr_Oexp_OFAss(X15,X17,X18,X14,tc_List_Olist(tc_String_Ochar)),X77,c_Expr_Oexp_Othrow(X31,tc_List_Olist(tc_String_Ochar)),X75)
      | ~ c_BigStep_Oeval(X11,X14,X76,c_Expr_Oexp_Othrow(X31,tc_List_Olist(tc_String_Ochar)),X75)
      | ~ c_BigStep_Oeval(X11,X15,X77,c_Expr_Oexp_OVal(X24,tc_List_Olist(tc_String_Ochar)),X76) ),
    file('<stdin>',cls_eval__evals_OFAssThrow2_0) ).

fof(c_0_88_089,axiom,
    ! [X8,X14,X15,X6,X11,X17,X12,X18] :
      ( c_Progress_OWTrt_H(X11,X8,X12,c_Expr_Oexp_OFAss(X15,X17,X18,X14,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
      | ~ c_Progress_OWTrt_H(X11,X8,X12,X14,X6)
      | ~ c_Progress_OWTrt_H(X11,X8,X12,X15,c_Type_Oty_ONT) ),
    file('<stdin>',cls_WTrt_H__WTrts_H_Ointros_I11_J_0) ).

fof(c_0_89_090,axiom,
    ! [X8,X14,X15,X6,X11,X17,X12,X18] :
      ( c_WellTypeRT_OWTrt(X11,X8,X12,c_Expr_Oexp_OFAss(X15,X17,X18,X14,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,X14,X6)
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,X15,c_Type_Oty_ONT) ),
    file('<stdin>',cls_WTrtFAssNT_0) ).

fof(c_0_90_091,axiom,
    ! [X24,X8,X9,X10,X11,X17,X12,X18] :
      ( c_WellTypeRT_OWTrt(X11,X8,X12,X24,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(X12,X11,X8,X24))
      | X10 = c_Type_Oty_OVoid
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,c_Expr_Oexp_OFAss(X9,X17,X18,X24,tc_List_Olist(tc_String_Ochar)),X10) ),
    file('<stdin>',cls_WTrt__elim__cases_I8_J_2) ).

fof(c_0_91_092,axiom,
    ! [X24,X8,X9,X10,X11,X17,X12,X18] :
      ( c_WellTypeRT_OWTrt(X11,X8,X12,X9,c_Type_Oty_ONT)
      | X10 = c_Type_Oty_OVoid
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,c_Expr_Oexp_OFAss(X9,X17,X18,X24,tc_List_Olist(tc_String_Ochar)),X10) ),
    file('<stdin>',cls_WTrt__elim__cases_I8_J_1) ).

fof(c_0_92_093,axiom,
    ! [X48,X52,X19,X20,X21,X22,X23,X3] :
      ( c_in(c_Pair(X20,X19,X23,X23),X48,tc_prod(X23,X23))
      | c_in(c_Pair(X22,X21,X3,X3),X52,tc_prod(X3,X3))
      | ~ c_in(c_Pair(c_Pair(X22,X20,X3,X23),c_Pair(X21,X19,X3,X23),tc_prod(X3,X23),tc_prod(X3,X23)),c_Wellfounded_Olex__prod(X52,X48,X3,X23),tc_prod(tc_prod(X3,X23),tc_prod(X3,X23))) ),
    file('<stdin>',cls_in__lex__prod_1) ).

fof(c_0_93_094,axiom,
    ! [X24,X8,X9,X10,X11,X17,X12,X18] :
      ( X10 = c_Type_Oty_OVoid
      | X10 = c_Type_Oty_OVoid
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,c_Expr_Oexp_OFAss(X9,X17,X18,X24,tc_List_Olist(tc_String_Ochar)),X10) ),
    file('<stdin>',cls_WTrt__elim__cases_I8_J_0) ).

fof(c_0_94_095,axiom,
    ! [X48,X52,X19,X20,X21,X22,X23,X3] :
      ( X22 = X21
      | c_in(c_Pair(X22,X21,X3,X3),X52,tc_prod(X3,X3))
      | ~ c_in(c_Pair(c_Pair(X22,X20,X3,X23),c_Pair(X21,X19,X3,X23),tc_prod(X3,X23),tc_prod(X3,X23)),c_Wellfounded_Olex__prod(X52,X48,X3,X23),tc_prod(tc_prod(X3,X23),tc_prod(X3,X23))) ),
    file('<stdin>',cls_in__lex__prod_0) ).

fof(c_0_95_096,axiom,
    ! [X74,X75,X76,X77,X14,X15,X9,X49,X11] :
      ( c_BigStep_Oeval(X11,c_Expr_Oexp_OBinOp(X15,X49,X14,tc_List_Olist(tc_String_Ochar)),X77,c_Expr_Oexp_Othrow(X9,tc_List_Olist(tc_String_Ochar)),X75)
      | ~ c_BigStep_Oeval(X11,X14,X76,c_Expr_Oexp_Othrow(X9,tc_List_Olist(tc_String_Ochar)),X75)
      | ~ c_BigStep_Oeval(X11,X15,X77,c_Expr_Oexp_OVal(X74,tc_List_Olist(tc_String_Ochar)),X76) ),
    file('<stdin>',cls_eval__evals_OBinOpThrow2_0) ).

fof(c_0_96_097,axiom,
    ! [X74,X76,X77,X14,X15,X51,X11,X46] :
      ( c_BigStep_Oeval(X11,c_Expr_Oexp_OTryCatch(X15,X46,X51,X14,tc_List_Olist(tc_String_Ochar)),X77,c_Expr_Oexp_OVal(X74,tc_List_Olist(tc_String_Ochar)),X76)
      | ~ c_BigStep_Oeval(X11,X15,X77,c_Expr_Oexp_OVal(X74,tc_List_Olist(tc_String_Ochar)),X76) ),
    file('<stdin>',cls_Try_0) ).

fof(c_0_97_098,axiom,
    ! [X76,X77,X31,X14,X15,X11,X17,X18] :
      ( c_BigStep_Oeval(X11,c_Expr_Oexp_OFAss(X15,X17,X18,X14,tc_List_Olist(tc_String_Ochar)),X77,c_Expr_Oexp_Othrow(X31,tc_List_Olist(tc_String_Ochar)),X76)
      | ~ c_BigStep_Oeval(X11,X15,X77,c_Expr_Oexp_Othrow(X31,tc_List_Olist(tc_String_Ochar)),X76) ),
    file('<stdin>',cls_eval__evals_OFAssThrow1_0) ).

fof(c_0_98_099,axiom,
    ! [X24,X75,X76,X77,X14,X15,X93,X11] :
      ( c_BigStep_Oeval(X11,c_Expr_Oexp_OSeq(X93,X15,tc_List_Olist(tc_String_Ochar)),X77,X14,X75)
      | ~ c_BigStep_Oeval(X11,X15,X76,X14,X75)
      | ~ c_BigStep_Oeval(X11,X93,X77,c_Expr_Oexp_OVal(X24,tc_List_Olist(tc_String_Ochar)),X76) ),
    file('<stdin>',cls_Seq_0) ).

fof(c_0_99_100,axiom,
    ! [X8,X14,X15,X6,X16,X11,X12] :
      ( c_Progress_OWTrt_H(X11,X8,X12,c_Expr_Oexp_OSeq(X15,X14,tc_List_Olist(tc_String_Ochar)),X6)
      | ~ c_Progress_OWTrt_H(X11,X8,X12,X14,X6)
      | ~ c_Progress_OWTrt_H(X11,X8,X12,X15,X16) ),
    file('<stdin>',cls_WTrt_H__WTrts_H_Ointros_I18_J_0) ).

fof(c_0_100_101,axiom,
    ! [X8,X14,X15,X6,X16,X11,X12] :
      ( c_WellTypeRT_OWTrt(X11,X8,X12,c_Expr_Oexp_OSeq(X15,X14,tc_List_Olist(tc_String_Ochar)),X6)
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,X14,X6)
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,X15,X16) ),
    file('<stdin>',cls_WTrtSeq_0) ).

fof(c_0_101_102,axiom,
    ! [X14,X15,X51,X10,X11,X12,X46] :
      ( c_WellType_OWT(X11,X12,X15,X10)
      | ~ c_WellType_OWT(X11,X12,c_Expr_Oexp_OTryCatch(X15,X46,X51,X14,tc_List_Olist(tc_String_Ochar)),X10) ),
    file('<stdin>',cls_WT__elim__cases_I5_J_0) ).

fof(c_0_102_103,axiom,
    ! [X70,X54,X55,X71,X11,X23,X3] :
      ( c_in(c_Pair(c_Pair(X55,X70,X3,X23),c_Pair(X55,X54,X3,X23),tc_prod(X3,X23),tc_prod(X3,X23)),c_Recdef_Osame__fst(X11,X71,X3,X23),tc_prod(tc_prod(X3,X23),tc_prod(X3,X23)))
      | ~ c_in(c_Pair(X70,X54,X23,X23),hAPP(X71,X55),tc_prod(X23,X23))
      | ~ hBOOL(hAPP(X11,X55)) ),
    file('<stdin>',cls_same__fstI_0) ).

fof(c_0_103_104,axiom,
    ! [X24,X22,X10,X11,X17,X12,X18] :
      ( X10 = c_Type_Oty_OVoid
      | ~ c_WellType_OWT(X11,X12,c_Expr_Oexp_OFAss(X22,X17,X18,X24,tc_List_Olist(tc_String_Ochar)),X10) ),
    file('<stdin>',cls_WT__elim__cases_I8_J_0) ).

fof(c_0_104_105,axiom,
    ! [X55,X48,X52,X19,X20,X23,X3] :
      ( c_in(c_Pair(c_Pair(X55,X20,X3,X23),c_Pair(X55,X19,X3,X23),tc_prod(X3,X23),tc_prod(X3,X23)),c_Wellfounded_Olex__prod(X52,X48,X3,X23),tc_prod(tc_prod(X3,X23),tc_prod(X3,X23)))
      | ~ c_in(c_Pair(X20,X19,X23,X23),X48,tc_prod(X23,X23)) ),
    file('<stdin>',cls_in__lex__prod_3) ).

fof(c_0_105_106,axiom,
    ! [X48,X52,X19,X20,X21,X22,X23,X3] :
      ( c_in(c_Pair(c_Pair(X22,X20,X3,X23),c_Pair(X21,X19,X3,X23),tc_prod(X3,X23),tc_prod(X3,X23)),c_Wellfounded_Olex__prod(X52,X48,X3,X23),tc_prod(tc_prod(X3,X23),tc_prod(X3,X23)))
      | ~ c_in(c_Pair(X22,X21,X3,X3),X52,tc_prod(X3,X3)) ),
    file('<stdin>',cls_in__lex__prod_2) ).

fof(c_0_106_107,axiom,
    ! [X68,X69,X36,X37,X38,X39,X21,X22,X3] :
      ( c_Expr_Oexp_OTryCatch(X39,X69,X22,X37,X3) != c_Expr_Oexp_OTryCatch(X38,X68,X21,X36,X3)
      | X37 = X36 ),
    file('<stdin>',cls_exp_Osimps_I15_J_3) ).

fof(c_0_107_108,axiom,
    ! [X68,X69,X36,X37,X38,X39,X21,X22,X3] :
      ( c_Expr_Oexp_OTryCatch(X39,X69,X22,X37,X3) != c_Expr_Oexp_OTryCatch(X38,X68,X21,X36,X3)
      | X22 = X21 ),
    file('<stdin>',cls_exp_Osimps_I15_J_2) ).

fof(c_0_108_109,axiom,
    ! [X68,X69,X36,X37,X38,X39,X21,X22,X3] :
      ( c_Expr_Oexp_OTryCatch(X39,X69,X22,X37,X3) != c_Expr_Oexp_OTryCatch(X38,X68,X21,X36,X3)
      | X69 = X68 ),
    file('<stdin>',cls_exp_Osimps_I15_J_1) ).

fof(c_0_109_110,axiom,
    ! [X68,X69,X36,X37,X38,X39,X21,X22,X3] :
      ( c_Expr_Oexp_OTryCatch(X39,X69,X22,X37,X3) != c_Expr_Oexp_OTryCatch(X38,X68,X21,X36,X3)
      | X39 = X38 ),
    file('<stdin>',cls_exp_Osimps_I15_J_0) ).

fof(c_0_110_111,axiom,
    ! [X32,X33,X34,X35,X36,X37,X38,X39,X3] :
      ( c_Expr_Oexp_OFAss(X39,X35,X33,X37,X3) != c_Expr_Oexp_OFAss(X38,X34,X32,X36,X3)
      | X37 = X36 ),
    file('<stdin>',cls_exp_Osimps_I8_J_3) ).

fof(c_0_111_112,axiom,
    ! [X32,X33,X34,X35,X36,X37,X38,X39,X3] :
      ( c_Expr_Oexp_OFAss(X39,X35,X33,X37,X3) != c_Expr_Oexp_OFAss(X38,X34,X32,X36,X3)
      | X33 = X32 ),
    file('<stdin>',cls_exp_Osimps_I8_J_2) ).

fof(c_0_112_113,axiom,
    ! [X32,X33,X34,X35,X36,X37,X38,X39,X3] :
      ( c_Expr_Oexp_OFAss(X39,X35,X33,X37,X3) != c_Expr_Oexp_OFAss(X38,X34,X32,X36,X3)
      | X35 = X34 ),
    file('<stdin>',cls_exp_Osimps_I8_J_1) ).

fof(c_0_113_114,axiom,
    ! [X32,X33,X34,X35,X36,X37,X38,X39,X3] :
      ( c_Expr_Oexp_OFAss(X39,X35,X33,X37,X3) != c_Expr_Oexp_OFAss(X38,X34,X32,X36,X3)
      | X39 = X38 ),
    file('<stdin>',cls_exp_Osimps_I8_J_0) ).

fof(c_0_114_115,axiom,
    ! [X76,X77,X98,X31,X9,X11,X50] :
      ( c_BigStep_Oeval(X11,c_Expr_Oexp_OCall(X9,X50,X98,tc_List_Olist(tc_String_Ochar)),X77,c_Expr_Oexp_Othrow(X31,tc_List_Olist(tc_String_Ochar)),X76)
      | ~ c_BigStep_Oeval(X11,X9,X77,c_Expr_Oexp_Othrow(X31,tc_List_Olist(tc_String_Ochar)),X76) ),
    file('<stdin>',cls_CallObjThrow_0) ).

fof(c_0_115_116,axiom,
    ! [X76,X77,X31,X14,X15,X9,X11] :
      ( c_BigStep_Oeval(X11,c_Expr_Oexp_OCond(X9,X15,X14,tc_List_Olist(tc_String_Ochar)),X77,c_Expr_Oexp_Othrow(X31,tc_List_Olist(tc_String_Ochar)),X76)
      | ~ c_BigStep_Oeval(X11,X9,X77,c_Expr_Oexp_Othrow(X31,tc_List_Olist(tc_String_Ochar)),X76) ),
    file('<stdin>',cls_eval__evals_OCondThrow_0) ).

fof(c_0_116_117,axiom,
    ! [X76,X77,X14,X15,X9,X49,X11] :
      ( c_BigStep_Oeval(X11,c_Expr_Oexp_OBinOp(X15,X49,X14,tc_List_Olist(tc_String_Ochar)),X77,c_Expr_Oexp_Othrow(X9,tc_List_Olist(tc_String_Ochar)),X76)
      | ~ c_BigStep_Oeval(X11,X15,X77,c_Expr_Oexp_Othrow(X9,tc_List_Olist(tc_String_Ochar)),X76) ),
    file('<stdin>',cls_eval__evals_OBinOpThrow1_0) ).

fof(c_0_117_118,axiom,
    ! [X76,X77,X31,X9,X11,X17,X18] :
      ( c_BigStep_Oeval(X11,c_Expr_Oexp_OFAcc(X9,X17,X18,tc_List_Olist(tc_String_Ochar)),X77,c_Expr_Oexp_Othrow(X31,tc_List_Olist(tc_String_Ochar)),X76)
      | ~ c_BigStep_Oeval(X11,X9,X77,c_Expr_Oexp_Othrow(X31,tc_List_Olist(tc_String_Ochar)),X76) ),
    file('<stdin>',cls_eval__evals_OFAccThrow_0) ).

fof(c_0_118_119,axiom,
    ! [X8,X9,X10,X11,X17,X12,X18] :
      ( c_WellTypeRT_OWTrt(X11,X8,X12,c_Expr_Oexp_OFAcc(X9,X17,X18,tc_List_Olist(tc_String_Ochar)),X10)
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,X9,c_Type_Oty_ONT) ),
    file('<stdin>',cls_WTrtFAccNT_0) ).

fof(c_0_119_120,axiom,
    ! [X8,X9,X10,X11,X17,X12,X18] :
      ( c_Progress_OWTrt_H(X11,X8,X12,c_Expr_Oexp_OFAcc(X9,X17,X18,tc_List_Olist(tc_String_Ochar)),X10)
      | ~ c_Progress_OWTrt_H(X11,X8,X12,X9,c_Type_Oty_ONT) ),
    file('<stdin>',cls_WTrt_H__WTrts_H_Ointros_I9_J_0) ).

fof(c_0_120_121,axiom,
    ! [X8,X9,X10,X11,X13,X12] :
      ( c_WellTypeRT_OWTrt(X11,X8,X13,X9,X10)
      | ~ c_Map_Omap__le(X12,X13,tc_List_Olist(tc_String_Ochar),tc_Type_Oty)
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,X9,X10) ),
    file('<stdin>',cls_WTrt__env__mono_0) ).

fof(c_0_121_122,axiom,
    ! [X76,X77,X15,X93,X9,X11] :
      ( c_BigStep_Oeval(X11,c_Expr_Oexp_OSeq(X93,X15,tc_List_Olist(tc_String_Ochar)),X77,c_Expr_Oexp_Othrow(X9,tc_List_Olist(tc_String_Ochar)),X76)
      | ~ c_BigStep_Oeval(X11,X93,X77,c_Expr_Oexp_Othrow(X9,tc_List_Olist(tc_String_Ochar)),X76) ),
    file('<stdin>',cls_eval__evals_OSeqThrow_0) ).

fof(c_0_122_123,axiom,
    ! [X76,X77,X31,X9,X51,X11] :
      ( c_BigStep_Oeval(X11,c_Expr_Oexp_OLAss(X51,X9,tc_List_Olist(tc_String_Ochar)),X77,c_Expr_Oexp_Othrow(X31,tc_List_Olist(tc_String_Ochar)),X76)
      | ~ c_BigStep_Oeval(X11,X9,X77,c_Expr_Oexp_Othrow(X31,tc_List_Olist(tc_String_Ochar)),X76) ),
    file('<stdin>',cls_eval__evals_OLAssThrow_0) ).

fof(c_0_123_124,axiom,
    ! [X76,X77,X31,X9,X11,X46] :
      ( c_BigStep_Oeval(X11,c_Expr_Oexp_OCast(X46,X9,tc_List_Olist(tc_String_Ochar)),X77,c_Expr_Oexp_Othrow(X31,tc_List_Olist(tc_String_Ochar)),X76)
      | ~ c_BigStep_Oeval(X11,X9,X77,c_Expr_Oexp_Othrow(X31,tc_List_Olist(tc_String_Ochar)),X76) ),
    file('<stdin>',cls_eval__evals_OCastThrow_0) ).

fof(c_0_124_125,axiom,
    ! [X76,X77,X31,X9,X11] :
      ( c_BigStep_Oeval(X11,c_Expr_Oexp_Othrow(X9,tc_List_Olist(tc_String_Ochar)),X77,c_Expr_Oexp_Othrow(X31,tc_List_Olist(tc_String_Ochar)),X76)
      | ~ c_BigStep_Oeval(X11,X9,X77,c_Expr_Oexp_Othrow(X31,tc_List_Olist(tc_String_Ochar)),X76) ),
    file('<stdin>',cls_eval__evals_OThrowThrow_0) ).

fof(c_0_125_126,axiom,
    ! [X30,X7,X8,X11,X12,X3] :
      ( c_Conform_Olconf(X11,X7,X30,X12,X3)
      | ~ c_Objects_Ohext(X8,X7)
      | ~ c_Conform_Olconf(X11,X8,X30,X12,X3) ),
    file('<stdin>',cls_lconf__hext_0) ).

fof(c_0_126_127,axiom,
    ! [X7,X8,X9,X10,X11,X12] :
      ( c_WellTypeRT_OWTrt(X11,X7,X12,X9,X10)
      | ~ c_Objects_Ohext(X8,X7)
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,X9,X10) ),
    file('<stdin>',cls_WTrt__hext__mono_0) ).

fof(c_0_127_128,axiom,
    ! [X8,X9,X10,X11,X12] :
      ( c_Progress_OWTrt_H(X11,X8,X12,X9,X10)
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,X9,X10) ),
    file('<stdin>',cls_wt__wt_H_0) ).

fof(c_0_128_129,axiom,
    ! [X8,X9,X10,X11,X12] :
      ( c_WellTypeRT_OWTrt(X11,X8,X12,X9,X10)
      | ~ c_Progress_OWTrt_H(X11,X8,X12,X9,X10) ),
    file('<stdin>',cls_wt_H__wt_0) ).

fof(c_0_129_130,axiom,
    ! [X8,X25,X26,X23,X3] :
      ( c_Map_Omap__le(c_Map_Omap__add(X26,X25,X3,X23),X8,X3,X23)
      | ~ c_Map_Omap__le(X26,c_Map_Omap__add(X26,X25,X3,X23),X3,X23)
      | ~ c_Map_Omap__le(X25,X8,X3,X23)
      | ~ c_Map_Omap__le(X26,X8,X3,X23) ),
    file('<stdin>',cls_map__add__le__mapI_0) ).

fof(c_0_130_131,axiom,
    ! [X52,X90,X20,X22,X3] :
      ( c_in(c_Pair(X22,X90,X3,X3),c_Transitive__Closure_Ortrancl(X52,X3),tc_prod(X3,X3))
      | ~ c_in(c_Pair(X20,X90,X3,X3),c_Transitive__Closure_Ortrancl(X52,X3),tc_prod(X3,X3))
      | ~ c_in(c_Pair(X22,X20,X3,X3),c_Transitive__Closure_Ortrancl(X52,X3),tc_prod(X3,X3)) ),
    file('<stdin>',cls_rtrancl__trans_0) ).

fof(c_0_131_132,axiom,
    ! [X52,X90,X20,X22,X3] :
      ( c_in(c_Pair(X22,X90,X3,X3),c_Transitive__Closure_Ortrancl(X52,X3),tc_prod(X3,X3))
      | ~ c_in(c_Pair(X20,X90,X3,X3),c_Transitive__Closure_Ortrancl(X52,X3),tc_prod(X3,X3))
      | ~ c_in(c_Pair(X22,X20,X3,X3),X52,tc_prod(X3,X3)) ),
    file('<stdin>',cls_converse__rtrancl__into__rtrancl_0) ).

fof(c_0_132_133,axiom,
    ! [X52,X90,X20,X22,X3] :
      ( c_in(c_Pair(X22,X90,X3,X3),c_Transitive__Closure_Ortrancl(X52,X3),tc_prod(X3,X3))
      | ~ c_in(c_Pair(X20,X90,X3,X3),X52,tc_prod(X3,X3))
      | ~ c_in(c_Pair(X22,X20,X3,X3),c_Transitive__Closure_Ortrancl(X52,X3),tc_prod(X3,X3)) ),
    file('<stdin>',cls_rtrancl_Ortrancl__into__rtrancl_0) ).

fof(c_0_133_134,axiom,
    ! [X8,X9,X10,X11,X12,X18] :
      ( X10 = c_Type_Oty_OClass(X18)
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,c_Expr_Oexp_OCast(X18,X9,tc_List_Olist(tc_String_Ochar)),X10) ),
    file('<stdin>',cls_WTrt__elim__cases_I6_J_0) ).

fof(c_0_134_135,axiom,
    ! [X24,X8,X9,X10,X11,X12] :
      ( X10 = c_Type_Oty_OVoid
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,c_Expr_Oexp_OLAss(X24,X9,tc_List_Olist(tc_String_Ochar)),X10) ),
    file('<stdin>',cls_WTrt__elim__cases_I1_J_0) ).

fof(c_0_135_136,axiom,
    ! [X8,X9,X51,X10,X11,X12] :
      ( X10 = c_Type_Oty_OVoid
      | ~ c_Progress_OWTrt_H(X11,X8,X12,c_Expr_Oexp_OLAss(X51,X9,tc_List_Olist(tc_String_Ochar)),X10) ),
    file('<stdin>',cls_WTrt_H__elim__cases_0) ).

fof(c_0_136_137,axiom,
    ! [X24,X47,X48,X31,X11] :
      ( X31 = c_Expr_Oexp_OVal(X24,tc_List_Olist(tc_String_Ochar))
      | ~ c_BigStep_Oeval(X11,c_Expr_Oexp_OVal(X24,tc_List_Olist(tc_String_Ochar)),X48,X31,X47) ),
    file('<stdin>',cls_eval__cases_I1_J_0) ).

fof(c_0_137_138,axiom,
    ! [X24,X47,X48,X31,X11] :
      ( X47 = X48
      | ~ c_BigStep_Oeval(X11,c_Expr_Oexp_OVal(X24,tc_List_Olist(tc_String_Ochar)),X48,X31,X47) ),
    file('<stdin>',cls_eval__cases_I1_J_1) ).

fof(c_0_138_139,axiom,
    ! [X6] :
      ( v_thesis____
      | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X6) ),
    file('<stdin>',cls_that_0) ).

fof(c_0_139_140,axiom,
    ! [X20,X22,X65,X53,X23,X3] :
      ( c_in(X20,hAPP(X65,X22),X23)
      | ~ c_in(c_Pair(X22,X20,X3,X23),c_Product__Type_OSigma(X53,X65,X3,X23),tc_prod(X3,X23)) ),
    file('<stdin>',cls_SigmaD2_0) ).

fof(c_0_140_141,axiom,
    ! [X20,X22,X65,X53,X23,X3] :
      ( c_in(X22,X53,X3)
      | ~ c_in(c_Pair(X22,X20,X3,X23),c_Product__Type_OSigma(X53,X65,X3,X23),tc_prod(X3,X23)) ),
    file('<stdin>',cls_SigmaD1_0) ).

fof(c_0_141_142,axiom,
    ! [X25,X26,X23,X3] :
      ( c_Map_Omap__add(X26,X25,X3,X23) = c_Map_Omap__add(X25,X26,X3,X23)
      | ~ c_Map_Omap__le(X26,c_Map_Omap__add(X26,X25,X3,X23),X3,X23) ),
    file('<stdin>',cls_map__le__iff__map__add__commute_0) ).

fof(c_0_142_143,axiom,
    ! [X8,X9,X10,X11,X12] :
      ( c_WellTypeRT_OWTrt(X11,X8,X12,X9,X10)
      | ~ c_WellType_OWT(X11,X12,X9,X10) ),
    file('<stdin>',cls_WT__implies__WTrt_0) ).

fof(c_0_143_144,axiom,
    ! [X52,X20,X22,X53,X23,X3] :
      ( c_in(X20,c_Relation_OImage(X52,X53,X3,X23),X23)
      | ~ c_in(c_Pair(X22,X20,X3,X23),X52,tc_prod(X3,X23))
      | ~ c_in(X22,X53,X3) ),
    file('<stdin>',cls_rev__ImageI_0) ).

fof(c_0_144_145,axiom,
    ! [X55,X52,X20,X53,X23,X3] :
      ( c_in(X20,c_Relation_OImage(X52,X53,X23,X3),X3)
      | ~ c_in(c_Pair(X55,X20,X23,X3),X52,tc_prod(X23,X3))
      | ~ c_in(X55,X53,X23) ),
    file('<stdin>',cls_Image__iff_2) ).

fof(c_0_145_146,axiom,
    ! [X25,X26,X23,X3] :
      ( c_Map_Omap__add(X26,X25,X3,X23) != c_Map_Omap__add(X25,X26,X3,X23)
      | c_Map_Omap__le(X26,c_Map_Omap__add(X26,X25,X3,X23),X3,X23) ),
    file('<stdin>',cls_map__le__iff__map__add__commute_1) ).

fof(c_0_146_147,axiom,
    ! [X8,X25,X26,X23,X3] :
      ( c_Map_Omap__le(X25,X8,X3,X23)
      | ~ c_Map_Omap__le(c_Map_Omap__add(X26,X25,X3,X23),X8,X3,X23) ),
    file('<stdin>',cls_map__add__le__mapE_0) ).

fof(c_0_147_148,axiom,
    ! [X64,X55,X52,X53,X3] :
      ( c_in(c_Pair(X64,X55,X3,X3),X52,tc_prod(X3,X3))
      | c_in(c_Pair(X55,X64,X3,X3),X52,tc_prod(X3,X3))
      | X55 = X64
      | ~ c_in(X64,X53,X3)
      | ~ c_in(X55,X53,X3)
      | ~ c_Relation_Ototal__on(X53,X52,X3) ),
    file('<stdin>',cls_total__on__def_0) ).

fof(c_0_148_149,axiom,
    ! [X20,X22,X65,X53,X23,X3] :
      ( c_in(c_Pair(X22,X20,X3,X23),c_Product__Type_OSigma(X53,X65,X3,X23),tc_prod(X3,X23))
      | ~ c_in(X20,hAPP(X65,X22),X23)
      | ~ c_in(X22,X53,X3) ),
    file('<stdin>',cls_mem__Sigma__iff_2) ).

fof(c_0_149_150,axiom,
    ! [X20,X22,X65,X53,X23,X3] :
      ( c_in(c_Pair(X22,X20,X3,X23),c_Product__Type_OSigma(X53,X65,X3,X23),tc_prod(X3,X23))
      | ~ c_in(X20,hAPP(X65,X22),X23)
      | ~ c_in(X22,X53,X3) ),
    file('<stdin>',cls_SigmaI_0) ).

fof(c_0_150_151,axiom,
    ! [X52,X20,X22,X3] :
      ( c_in(X20,c_Wellfounded_Oacc(X52,X3),X3)
      | ~ c_in(c_Pair(X20,X22,X3,X3),c_Transitive__Closure_Ortrancl(X52,X3),tc_prod(X3,X3))
      | ~ c_in(X22,c_Wellfounded_Oacc(X52,X3),X3) ),
    file('<stdin>',cls_acc__downwards_0) ).

fof(c_0_151_152,axiom,
    ! [X52,X20,X22,X3] :
      ( c_in(X20,c_Wellfounded_Oacc(X52,X3),X3)
      | ~ c_in(X22,c_Wellfounded_Oacc(X52,X3),X3)
      | ~ c_in(c_Pair(X20,X22,X3,X3),c_Transitive__Closure_Ortrancl(X52,X3),tc_prod(X3,X3)) ),
    file('<stdin>',cls_acc__downwards__aux_0) ).

fof(c_0_152_153,axiom,
    ! [X14,X15,X6,X16,X11,X12] :
      ( c_WellType_OWT(X11,X12,c_Expr_Oexp_OSeq(X15,X14,tc_List_Olist(tc_String_Ochar)),X6)
      | ~ c_WellType_OWT(X11,X12,X14,X6)
      | ~ c_WellType_OWT(X11,X12,X15,X16) ),
    file('<stdin>',cls_WTSeq_0) ).

fof(c_0_153_154,axiom,
    ! [X52,X20,X22,X3] :
      ( c_in(X22,c_Wellfounded_Oacc(X52,X3),X3)
      | ~ c_in(c_Pair(X22,X20,X3,X3),X52,tc_prod(X3,X3))
      | ~ c_in(X20,c_Wellfounded_Oacc(X52,X3),X3) ),
    file('<stdin>',cls_acc__downward_0) ).

fof(c_0_154_155,axiom,
    ! [X54,X52,X22,X3] :
      ( c_in(X54,c_Wellfounded_Oacc(X52,X3),X3)
      | ~ c_in(c_Pair(X54,X22,X3,X3),X52,tc_prod(X3,X3))
      | ~ c_in(X22,c_Wellfounded_Oacc(X52,X3),X3) ),
    file('<stdin>',cls_acc_Ocases_0) ).

fof(c_0_155_156,axiom,
    ! [X54,X55,X71,X3] :
      ( X55 = X54
      | ~ c_in(c_Pair(X55,X54,X3,X3),c_Transitive__Closure_Ortrancl(X71,X3),tc_prod(X3,X3))
      | c_in(X55,c_Relation_ODomain(X71,X3,X3),X3) ),
    file('<stdin>',cls_Not__Domain__rtrancl_0) ).

fof(c_0_156_157,axiom,
    ! [X55,X52,X22,X23,X3] :
      ( c_in(X22,c_Relation_ORange(X52,X23,X3),X3)
      | ~ c_in(c_Pair(X55,X22,X23,X3),X52,tc_prod(X23,X3)) ),
    file('<stdin>',cls_Range__iff_1) ).

fof(c_0_157_158,axiom,
    ! [X52,X20,X22,X23,X3] :
      ( c_in(X20,c_Relation_ORange(X52,X3,X23),X23)
      | ~ c_in(c_Pair(X22,X20,X3,X23),X52,tc_prod(X3,X23)) ),
    file('<stdin>',cls_RangeI_0) ).

fof(c_0_158_159,axiom,
    ! [X55,X52,X22,X23,X3] :
      ( c_in(X22,c_Relation_ODomain(X52,X3,X23),X3)
      | ~ c_in(c_Pair(X22,X55,X3,X23),X52,tc_prod(X3,X23)) ),
    file('<stdin>',cls_Domain__iff_1) ).

fof(c_0_159_160,axiom,
    ! [X52,X20,X22,X23,X3] :
      ( c_in(X22,c_Relation_ODomain(X52,X3,X23),X3)
      | ~ c_in(c_Pair(X22,X20,X3,X23),X52,tc_prod(X3,X23)) ),
    file('<stdin>',cls_DomainI_0) ).

fof(c_0_160_161,axiom,
    ! [X54,X55,X52,X53,X3] :
      ( c_in(X55,X53,X3)
      | ~ c_in(c_Pair(X55,X54,X3,X3),X52,tc_prod(X3,X3))
      | ~ c_Equiv__Relations_Oequiv(X53,X52,X3) ),
    file('<stdin>',cls_equiv__class__eq__iff_1) ).

fof(c_0_161_162,axiom,
    ! [X54,X55,X52,X53,X3] :
      ( c_in(X54,X53,X3)
      | ~ c_in(c_Pair(X55,X54,X3,X3),X52,tc_prod(X3,X3))
      | ~ c_Equiv__Relations_Oequiv(X53,X52,X3) ),
    file('<stdin>',cls_equiv__class__eq__iff_2) ).

fof(c_0_162_163,axiom,
    ! [X54,X55,X52,X53,X3] :
      ( c_in(X54,X53,X3)
      | ~ c_in(c_Pair(X55,X54,X3,X3),X52,tc_prod(X3,X3))
      | ~ c_Relation_Orefl__on(X53,X52,X3) ),
    file('<stdin>',cls_refl__onD2_0) ).

fof(c_0_163_164,axiom,
    ! [X54,X55,X52,X53,X3] :
      ( c_in(X55,X53,X3)
      | ~ c_in(c_Pair(X55,X54,X3,X3),X52,tc_prod(X3,X3))
      | ~ c_Relation_Orefl__on(X53,X52,X3) ),
    file('<stdin>',cls_refl__onD1_0) ).

fof(c_0_164_165,axiom,
    ! [X9,X10,X11,X13,X12] :
      ( c_WellType_OWT(X11,X13,X9,X10)
      | ~ c_Map_Omap__le(X12,X13,tc_List_Olist(tc_String_Ochar),tc_Type_Oty)
      | ~ c_WellType_OWT(X11,X12,X9,X10) ),
    file('<stdin>',cls_wt__env__mono_0) ).

fof(c_0_165_166,axiom,
    ! [X56,X10,X57,X11,X3] :
      ( c_TypeRel_Owiden(X11,X57,X10,X3)
      | ~ c_TypeRel_Owiden(X11,X56,X10,X3)
      | ~ c_TypeRel_Owiden(X11,X57,X56,X3) ),
    file('<stdin>',cls_widen__trans_0) ).

fof(c_0_166_167,axiom,
    ! [X40,X41,X42,X23,X3] :
      ( c_Map_Omap__le(X42,X40,X3,X23)
      | ~ c_Map_Omap__le(X41,X40,X3,X23)
      | ~ c_Map_Omap__le(X42,X41,X3,X23) ),
    file('<stdin>',cls_map__le__trans_0) ).

fof(c_0_167_168,axiom,
    ! [X54,X55,X53,X3] :
      ( c_in(X55,X53,X3)
      | ~ c_in(c_Pair(X55,X54,X3,X3),c_Relation_OId__on(X53,X3),tc_prod(X3,X3)) ),
    file('<stdin>',cls_Id__on__iff_1) ).

fof(c_0_168_169,axiom,
    ! [X54,X55,X53,X3] :
      ( X55 = X54
      | ~ c_in(c_Pair(X55,X54,X3,X3),c_Relation_OId__on(X53,X3),tc_prod(X3,X3)) ),
    file('<stdin>',cls_Id__on__iff_0) ).

fof(c_0_169_170,axiom,
    ! [X10,X11,X46,X3] :
      ( X10 = c_Type_Oty_OClass(c_TypeRel_Osko__TypeRel__Xwiden__Class__1__1(X46,X11,X10,X3))
      | X10 = c_Type_Oty_ONT
      | ~ c_TypeRel_Owiden(X11,X10,c_Type_Oty_OClass(X46),X3) ),
    file('<stdin>',cls_widen__Class_0) ).

fof(c_0_170_171,axiom,
    ! [X25,X26,X23,X3] :
      ( X26 = X25
      | ~ c_Map_Omap__le(X25,X26,X3,X23)
      | ~ c_Map_Omap__le(X26,X25,X3,X23) ),
    file('<stdin>',cls_map__le__antisym_0) ).

fof(c_0_171_172,axiom,
    ! [X32,X33,X34,X35,X72,X73,X3] :
      ( c_Expr_Oexp_OCall(X73,X35,X33,X3) != c_Expr_Oexp_OCall(X72,X34,X32,X3)
      | X73 = X72 ),
    file('<stdin>',cls_exp_Osimps_I9_J_0) ).

fof(c_0_172_173,axiom,
    ! [X32,X33,X34,X35,X72,X73,X3] :
      ( c_Expr_Oexp_OCall(X73,X35,X33,X3) != c_Expr_Oexp_OCall(X72,X34,X32,X3)
      | X35 = X34 ),
    file('<stdin>',cls_exp_Osimps_I9_J_1) ).

fof(c_0_173_174,axiom,
    ! [X32,X33,X34,X35,X72,X73,X3] :
      ( c_Expr_Oexp_OCall(X73,X35,X33,X3) != c_Expr_Oexp_OCall(X72,X34,X32,X3)
      | X33 = X32 ),
    file('<stdin>',cls_exp_Osimps_I9_J_2) ).

fof(c_0_174_175,axiom,
    ! [X86,X87,X36,X37,X38,X39,X3] :
      ( c_Expr_Oexp_OCond(X39,X37,X87,X3) != c_Expr_Oexp_OCond(X38,X36,X86,X3)
      | X87 = X86 ),
    file('<stdin>',cls_exp_Osimps_I12_J_2) ).

fof(c_0_175_176,axiom,
    ! [X86,X87,X36,X37,X38,X39,X3] :
      ( c_Expr_Oexp_OCond(X39,X37,X87,X3) != c_Expr_Oexp_OCond(X38,X36,X86,X3)
      | X37 = X36 ),
    file('<stdin>',cls_exp_Osimps_I12_J_1) ).

fof(c_0_176_177,axiom,
    ! [X86,X87,X36,X37,X38,X39,X3] :
      ( c_Expr_Oexp_OCond(X39,X37,X87,X3) != c_Expr_Oexp_OCond(X38,X36,X86,X3)
      | X39 = X38 ),
    file('<stdin>',cls_exp_Osimps_I12_J_0) ).

fof(c_0_177_178,axiom,
    ! [X36,X37,X38,X39,X82,X49,X3] :
      ( c_Expr_Oexp_OBinOp(X39,X49,X37,X3) != c_Expr_Oexp_OBinOp(X38,X82,X36,X3)
      | X37 = X36 ),
    file('<stdin>',cls_exp_Osimps_I4_J_2) ).

fof(c_0_178_179,axiom,
    ! [X36,X37,X38,X39,X82,X49,X3] :
      ( c_Expr_Oexp_OBinOp(X39,X49,X37,X3) != c_Expr_Oexp_OBinOp(X38,X82,X36,X3)
      | X49 = X82 ),
    file('<stdin>',cls_exp_Osimps_I4_J_1) ).

fof(c_0_179_180,axiom,
    ! [X36,X37,X38,X39,X82,X49,X3] :
      ( c_Expr_Oexp_OBinOp(X39,X49,X37,X3) != c_Expr_Oexp_OBinOp(X38,X82,X36,X3)
      | X39 = X38 ),
    file('<stdin>',cls_exp_Osimps_I4_J_0) ).

fof(c_0_180_181,axiom,
    ! [X32,X33,X34,X35,X72,X73,X3] :
      ( c_Expr_Oexp_OFAcc(X73,X35,X33,X3) != c_Expr_Oexp_OFAcc(X72,X34,X32,X3)
      | X73 = X72 ),
    file('<stdin>',cls_exp_Osimps_I7_J_0) ).

fof(c_0_181_182,axiom,
    ! [X32,X33,X34,X35,X72,X73,X3] :
      ( c_Expr_Oexp_OFAcc(X73,X35,X33,X3) != c_Expr_Oexp_OFAcc(X72,X34,X32,X3)
      | X35 = X34 ),
    file('<stdin>',cls_exp_Osimps_I7_J_1) ).

fof(c_0_182_183,axiom,
    ! [X32,X33,X34,X35,X72,X73,X3] :
      ( c_Expr_Oexp_OFAcc(X73,X35,X33,X3) != c_Expr_Oexp_OFAcc(X72,X34,X32,X3)
      | X33 = X32 ),
    file('<stdin>',cls_exp_Osimps_I7_J_2) ).

fof(c_0_183_184,axiom,
    ! [X19,X20,X21,X22,X23,X3] :
      ( c_Pair(X22,X20,X3,X23) != c_Pair(X21,X19,X3,X23)
      | X22 = X21 ),
    file('<stdin>',cls_Pair__eq_0) ).

fof(c_0_184_185,axiom,
    ! [X19,X20,X21,X22,X23,X3] :
      ( c_Pair(X22,X20,X3,X23) != c_Pair(X21,X19,X3,X23)
      | X20 = X19 ),
    file('<stdin>',cls_Pair__eq_1) ).

fof(c_0_185_186,axiom,
    ! [X83,X84,X85,X23,X3] :
      ( hAPP(c_Map_Omap__add(X85,X84,X3,X23),X83) = hAPP(X84,X83)
      | ~ c_in(X83,c_Map_Odom(X84,X3,X23),X3) ),
    file('<stdin>',cls_map__add__dom__app__simps_I1_J_0) ).

fof(c_0_186_187,axiom,
    ! [X55,X71,X3] :
      ( c_in(X55,c_Relation_ODomain(X71,X3,X3),X3)
      | c_in(c_Pair(X55,X55,X3,X3),c_Transitive__Closure_Ortrancl(X71,X3),tc_prod(X3,X3)) ),
    file('<stdin>',cls_Not__Domain__rtrancl_1) ).

fof(c_0_187_188,axiom,
    ! [X55,X52,X53,X3] :
      ( c_in(c_Pair(X55,X55,X3,X3),X52,tc_prod(X3,X3))
      | ~ c_in(X55,X53,X3)
      | ~ c_Relation_Orefl__on(X53,X52,X3) ),
    file('<stdin>',cls_refl__on__def_1) ).

fof(c_0_188_189,axiom,
    ! [X52,X22,X53,X3] :
      ( c_in(c_Pair(X22,X22,X3,X3),X52,tc_prod(X3,X3))
      | ~ c_in(X22,X53,X3)
      | ~ c_Relation_Orefl__on(X53,X52,X3) ),
    file('<stdin>',cls_refl__onD_0) ).

fof(c_0_189_190,axiom,
    ! [X55,X53,X3] :
      ( c_in(c_Pair(X55,X55,X3,X3),c_Relation_OId__on(X53,X3),tc_prod(X3,X3))
      | ~ c_in(X55,X53,X3) ),
    file('<stdin>',cls_Id__on__eqI_0) ).

fof(c_0_190_191,axiom,
    ! [X83,X84,X85,X23,X3] :
      ( hAPP(c_Map_Omap__add(X85,X84,X3,X23),X83) = hAPP(X84,X83)
      | c_in(X83,c_Map_Odom(X85,X3,X23),X3) ),
    file('<stdin>',cls_map__add__dom__app__simps_I2_J_0) ).

fof(c_0_191_192,axiom,
    ! [X83,X84,X85,X23,X3] :
      ( hAPP(c_Map_Omap__add(X85,X84,X3,X23),X83) = hAPP(X85,X83)
      | c_in(X83,c_Map_Odom(X84,X3,X23),X3) ),
    file('<stdin>',cls_map__add__dom__app__simps_I3_J_0) ).

fof(c_0_192_193,axiom,
    ! [X25,X26,X23,X3] :
      ( c_lessequals(c_Map_Odom(X26,X3,X23),c_Map_Odom(X25,X3,X23),tc_fun(X3,tc_bool))
      | ~ c_Map_Omap__le(X26,X25,X3,X23) ),
    file('<stdin>',cls_map__le__implies__dom__le_0) ).

fof(c_0_193_194,axiom,
    ! [X9,X11,X12,X46] :
      ( c_WellType_OWT(X11,X12,c_Expr_Oexp_Othrow(X9,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
      | ~ c_WellType_OWT(X11,X12,X9,c_Type_Oty_OClass(X46)) ),
    file('<stdin>',cls_WTThrow_0) ).

fof(c_0_194_195,axiom,
    ! [X55,X96,X97,X23,X3] :
      ( hAPP(X97,X55) = hAPP(X96,X55)
      | ~ c_in(X55,c_Map_Odom(X97,X3,X23),X3)
      | ~ c_Map_Omap__le(X97,X96,X3,X23) ),
    file('<stdin>',cls_map__le__def_0) ).

fof(c_0_195_196,axiom,
    ! [X9,X10,X11,X12,X18] :
      ( X10 = c_Type_Oty_OClass(X18)
      | ~ c_WellType_OWT(X11,X12,c_Expr_Oexp_OCast(X18,X9,tc_List_Olist(tc_String_Ochar)),X10) ),
    file('<stdin>',cls_WT__elim__cases_I6_J_0) ).

fof(c_0_196_197,axiom,
    ! [X9,X51,X10,X11,X12] :
      ( X10 = c_Type_Oty_OVoid
      | ~ c_WellType_OWT(X11,X12,c_Expr_Oexp_OLAss(X51,X9,tc_List_Olist(tc_String_Ochar)),X10) ),
    file('<stdin>',cls_WT__elim__cases_I1_J_0) ).

fof(c_0_197_198,axiom,
    ! [X66,X67,X11] :
      ( X67 = c_Type_Oty_ONT
      | X67 = c_Type_Oty_OClass(v_sko__TypeRel__Xwiden__Xcases__1(X11,X67,X66))
      | X66 = X67
      | ~ c_TypeRel_Owiden(X11,X67,X66,t_a) ),
    file('<stdin>',cls_widen_Ocases_0) ).

fof(c_0_198_199,axiom,
    ! [X66,X67,X11] :
      ( X67 = c_Type_Oty_ONT
      | X66 = c_Type_Oty_OClass(v_sko__TypeRel__Xwiden__Xcases__2(X11,X67,X66))
      | X66 = X67
      | ~ c_TypeRel_Owiden(X11,X67,X66,t_a) ),
    file('<stdin>',cls_widen_Ocases_2) ).

fof(c_0_199_200,axiom,
    ! [X9,X10,X11,X12] :
      ( X10 = c_Type_Oty_OVoid
      | ~ c_WellType_OWT(X11,X12,c_Expr_Oexp_Othrow(X9,tc_List_Olist(tc_String_Ochar)),X10) ),
    file('<stdin>',cls_WT__elim__cases_I4_J_0) ).

fof(c_0_200_201,axiom,
    ! [X46,X65,X53,X3] :
      ( c_lessequals(X53,X46,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X65,X46,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X53,X65,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_subset__trans_0) ).

fof(c_0_201_202,axiom,
    ! [X55,X65,X53,X3] :
      ( c_in(X55,X65,X3)
      | ~ c_in(X55,X53,X3)
      | ~ c_lessequals(X53,X65,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_set__mp_0) ).

fof(c_0_202_203,axiom,
    ! [X90,X65,X53,X3] :
      ( c_in(X90,X65,X3)
      | ~ c_in(X90,X53,X3)
      | ~ c_lessequals(X53,X65,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_subsetD_0) ).

fof(c_0_203_204,axiom,
    ! [X55,X65,X53,X3] :
      ( c_in(X55,X65,X3)
      | ~ c_lessequals(X53,X65,tc_fun(X3,tc_bool))
      | ~ c_in(X55,X53,X3) ),
    file('<stdin>',cls_set__rev__mp_0) ).

fof(c_0_204_205,axiom,
    ! [X89,X65,X53,X3] :
      ( c_in(X89,X65,X3)
      | ~ c_in(X89,X53,X3)
      | ~ c_lessequals(X53,X65,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_subset__iff_0) ).

fof(c_0_205_206,axiom,
    ! [X65,X53,X3] :
      ( X53 = X65
      | ~ c_lessequals(X65,X53,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X53,X65,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_equalityI_0) ).

fof(c_0_206_207,axiom,
    ! [X65,X53,X3] :
      ( X53 = X65
      | ~ c_lessequals(X65,X53,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X53,X65,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_set__eq__subset_2) ).

fof(c_0_207_208,axiom,
    ! [X55,X25,X26,X23,X3] :
      ( ~ class_HOL_Oord(X23)
      | c_lessequals(hAPP(X26,X55),hAPP(X25,X55),X23)
      | ~ c_lessequals(X26,X25,tc_fun(X3,X23)) ),
    file('<stdin>',cls_le__funD_0) ).

fof(c_0_208_209,axiom,
    ! [X91,X54,X55,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_lessequals(X91,X55,X3)
      | ~ c_lessequals(X91,X54,X3)
      | ~ c_lessequals(X54,X55,X3) ),
    file('<stdin>',cls_xt1_I6_J_0) ).

fof(c_0_209_210,axiom,
    ! [X91,X54,X55,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_lessequals(X55,X91,X3)
      | ~ c_lessequals(X54,X91,X3)
      | ~ c_lessequals(X55,X54,X3) ),
    file('<stdin>',cls_order__trans_0) ).

fof(c_0_210_211,axiom,
    ! [X52,X94,X3] :
      ( c_in(X94,c_Transitive__Closure_Ortrancl(X52,X3),tc_prod(X3,X3))
      | ~ c_in(X94,X52,tc_prod(X3,X3)) ),
    file('<stdin>',cls_r__into__rtrancl_0) ).

fof(c_0_211_212,axiom,
    ! [X55,X88,X11,X3] :
      ( hBOOL(hAPP(X88,X55))
      | ~ hBOOL(hAPP(X11,X55))
      | ~ c_lessequals(X11,X88,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_predicate1D_0) ).

fof(c_0_212_213,axiom,
    ! [X55,X88,X11,X3] :
      ( hBOOL(hAPP(X88,X55))
      | ~ c_lessequals(X11,X88,tc_fun(X3,tc_bool))
      | ~ hBOOL(hAPP(X11,X55)) ),
    file('<stdin>',cls_rev__predicate1D_0) ).

fof(c_0_213_214,axiom,
    ! [X54,X55,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | X55 = X54
      | ~ c_lessequals(X54,X55,X3)
      | ~ c_lessequals(X55,X54,X3) ),
    file('<stdin>',cls_order__eq__iff_2) ).

fof(c_0_214_215,axiom,
    ! [X54,X55,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | X55 = X54
      | ~ c_lessequals(X54,X55,X3)
      | ~ c_lessequals(X55,X54,X3) ),
    file('<stdin>',cls_order__antisym_0) ).

fof(c_0_215_216,axiom,
    ! [X54,X55,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | X55 = X54
      | ~ c_lessequals(X55,X54,X3)
      | ~ c_lessequals(X54,X55,X3) ),
    file('<stdin>',cls_order__antisym__conv_0) ).

fof(c_0_216_217,axiom,
    ! [X68,X69,X72,X73,X3] :
      ( c_Expr_Oexp_OCast(X69,X73,X3) != c_Expr_Oexp_OCast(X68,X72,X3)
      | X69 = X68 ),
    file('<stdin>',cls_exp_Osimps_I2_J_0) ).

fof(c_0_217_218,axiom,
    ! [X68,X69,X72,X73,X3] :
      ( c_Expr_Oexp_OCast(X69,X73,X3) != c_Expr_Oexp_OCast(X68,X72,X3)
      | X73 = X72 ),
    file('<stdin>',cls_exp_Osimps_I2_J_1) ).

fof(c_0_218_219,axiom,
    ! [X72,X73,X21,X22,X3] :
      ( c_Expr_Oexp_OLAss(X22,X73,X3) != c_Expr_Oexp_OLAss(X21,X72,X3)
      | X73 = X72 ),
    file('<stdin>',cls_exp_Osimps_I6_J_1) ).

fof(c_0_219_220,axiom,
    ! [X72,X73,X21,X22,X3] :
      ( c_Expr_Oexp_OLAss(X22,X73,X3) != c_Expr_Oexp_OLAss(X21,X72,X3)
      | X22 = X21 ),
    file('<stdin>',cls_exp_Osimps_I6_J_0) ).

fof(c_0_220_221,axiom,
    ! [X36,X37,X38,X39,X3] :
      ( c_Expr_Oexp_OSeq(X39,X37,X3) != c_Expr_Oexp_OSeq(X38,X36,X3)
      | X37 = X36 ),
    file('<stdin>',cls_exp_Osimps_I11_J_1) ).

fof(c_0_221_222,axiom,
    ! [X36,X37,X38,X39,X3] :
      ( c_Expr_Oexp_OSeq(X39,X37,X3) != c_Expr_Oexp_OSeq(X38,X36,X3)
      | X39 = X38 ),
    file('<stdin>',cls_exp_Osimps_I11_J_0) ).

fof(c_0_222_223,axiom,
    ! [X52,X53,X3] :
      ( c_Relation_Orefl__on(X53,X52,X3)
      | ~ c_Equiv__Relations_Oequiv(X53,X52,X3) ),
    file('<stdin>',cls_equiv_Orefl__on_0) ).

fof(c_0_223_224,axiom,
    ! [X54,X55,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_lessequals(X54,X55,X3)
      | c_lessequals(X55,X54,X3) ),
    file('<stdin>',cls_linorder__linear_0) ).

fof(c_0_224_225,axiom,
    ! [X55,X57,X3] :
      ( hBOOL(hAPP(X57,X55))
      | ~ c_in(X55,X57,X3) ),
    file('<stdin>',cls_mem__def_0) ).

fof(c_0_225_226,axiom,
    ! [X55,X57,X3] :
      ( c_in(X55,X57,X3)
      | ~ hBOOL(hAPP(X57,X55)) ),
    file('<stdin>',cls_mem__def_1) ).

fof(c_0_226_227,axiom,
    ! [X1,X2,X3] :
      ( X2 = X1
      | ~ c_fequal(X2,X1,X3) ),
    file('<stdin>',cls_ATP__Linkup_Ofequal__imp__equal_0) ).

fof(c_0_227_228,axiom,
    ! [X55,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_lessequals(X55,X55,X3) ),
    file('<stdin>',cls_order__eq__iff_0) ).

fof(c_0_228_229,axiom,
    ! [X55,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_lessequals(X55,X55,X3) ),
    file('<stdin>',cls_order__eq__refl_0) ).

fof(c_0_229_230,axiom,
    ! [X43,X7,X8] :
      ( c_Objects_Ohext(X8,X43)
      | ~ c_Objects_Ohext(X7,X43)
      | ~ c_Objects_Ohext(X8,X7) ),
    file('<stdin>',cls_hext__trans_0) ).

fof(c_0_230_231,axiom,
    ! [X72,X73,X3] :
      ( c_Expr_Oexp_Othrow(X73,X3) != c_Expr_Oexp_Othrow(X72,X3)
      | X73 = X72 ),
    file('<stdin>',cls_exp_Osimps_I14_J_0) ).

fof(c_0_231_232,axiom,
    ! [X80,X81,X3] :
      ( c_Expr_Oexp_OVal(X81,X3) != c_Expr_Oexp_OVal(X80,X3)
      | X81 = X80 ),
    file('<stdin>',cls_exp_Osimps_I3_J_0) ).

fof(c_0_232_233,axiom,
    ! [X4,X5] :
      ( class_Orderings_Opreorder(tc_fun(X4,X5))
      | ~ class_Orderings_Opreorder(X5) ),
    file('<stdin>',clsarity_fun__Orderings_Opreorder) ).

fof(c_0_233_234,axiom,
    ! [X4,X5] :
      ( class_Orderings_Oorder(tc_fun(X4,X5))
      | ~ class_Orderings_Oorder(X5) ),
    file('<stdin>',clsarity_fun__Orderings_Oorder) ).

fof(c_0_234_235,axiom,
    ! [X4,X5] :
      ( class_HOL_Oord(tc_fun(X4,X5))
      | ~ class_HOL_Oord(X5) ),
    file('<stdin>',clsarity_fun__HOL_Oord) ).

fof(c_0_235_236,axiom,
    ! [X68,X69] :
      ( c_Type_Oty_OClass(X69) != c_Type_Oty_OClass(X68)
      | X69 = X68 ),
    file('<stdin>',cls_ty_Oinject_0) ).

fof(c_0_236_237,plain,
    ! [X24,X75,X76,X77,X14,X15,X9,X11,X17,X18] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X15,X17,X18,X14,tc_List_Olist(tc_String_Ochar)),X77,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X9,tc_List_Olist(tc_String_Ochar)),X75,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X14,X76,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X9,tc_List_Olist(tc_String_Ochar)),X75,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X15,X77,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X24,tc_List_Olist(tc_String_Ochar)),X76,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_237_238,plain,
    ! [X74,X75,X76,X77,X14,X15,X9,X49,X11] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X15,X49,X14,tc_List_Olist(tc_String_Ochar)),X77,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X9,tc_List_Olist(tc_String_Ochar)),X75,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X14,X76,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X9,tc_List_Olist(tc_String_Ochar)),X75,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X15,X77,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X74,tc_List_Olist(tc_String_Ochar)),X76,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_238_239,plain,
    ! [X74,X75,X76,X77,X78,X14,X15,X11] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X15,X14,tc_List_Olist(tc_String_Ochar)),X77,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X78,X75,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X14,X76,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X78,X75,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X15,X77,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X74,tc_List_Olist(tc_String_Ochar)),X76,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_239_240,plain,
    ! [X29,X61,X30,X7,X8,X31,X9,X11] :
      ( c_in(c_Pair(c_Pair(X9,c_Pair(X8,c_Map_Omap__add(X61,X30,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,c_Pair(X7,c_Map_Omap__add(X61,X29,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,c_Pair(X8,X30,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,c_Pair(X7,X29,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_240_241,plain,
    ! [X29,X61,X30,X7,X8,X31,X9,X11] :
      ( c_in(c_Pair(c_Pair(X9,c_Pair(X8,c_Map_Omap__add(X61,X30,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,c_Pair(X7,c_Map_Omap__add(X61,X29,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,c_Pair(X8,X30,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,c_Pair(X7,X29,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_241_242,plain,
    ! [X24,X47,X48,X31,X9,X11,X17,X18] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X24,tc_List_Olist(tc_String_Ochar)),X17,X18,X9,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X24,tc_List_Olist(tc_String_Ochar)),X17,X18,X31,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

fof(c_0_242_243,plain,
    ! [X47,X48,X31,X14,X9,X51,X11,X46] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OTryCatch(X9,X46,X51,X14,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OTryCatch(X31,X46,X51,X14,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(fof_simplification,[status(thm)],[c_0_6]) ).

fof(c_0_243_244,plain,
    ! [X47,X48,X31,X14,X9,X11,X17,X18] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X9,X17,X18,X14,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAss(X31,X17,X18,X14,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

fof(c_0_244_245,plain,
    ! [X24,X47,X48,X14,X9,X51,X11,X46] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OTryCatch(X9,X46,X51,X14,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X24,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X24,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(fof_simplification,[status(thm)],[c_0_8]) ).

fof(c_0_245_246,plain,
    ! [X47,X48,X31,X14,X9,X11,X17,X18] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X9,X17,X18,X14,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X31,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X31,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(fof_simplification,[status(thm)],[c_0_9]) ).

fof(c_0_246_247,plain,
    ! [X24,X47,X48,X31,X9,X49,X11] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X24,tc_List_Olist(tc_String_Ochar)),X49,X9,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X24,tc_List_Olist(tc_String_Ochar)),X49,X31,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(fof_simplification,[status(thm)],[c_0_10]) ).

fof(c_0_247_248,plain,
    ! [X47,X48,X45,X31,X9,X11,X50] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCall(X9,X50,X45,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCall(X31,X50,X45,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(fof_simplification,[status(thm)],[c_0_11]) ).

fof(c_0_248_249,plain,
    ! [X47,X48,X31,X14,X9,X49,X11] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X9,X49,X14,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OBinOp(X31,X49,X14,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(fof_simplification,[status(thm)],[c_0_12]) ).

fof(c_0_249_250,plain,
    ! [X47,X48,X31,X14,X15,X9,X11] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X9,X15,X14,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCond(X31,X15,X14,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(fof_simplification,[status(thm)],[c_0_13]) ).

fof(c_0_250_251,plain,
    ! [X47,X48,X31,X9,X11,X17,X18] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAcc(X9,X17,X18,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAcc(X31,X17,X18,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(fof_simplification,[status(thm)],[c_0_14]) ).

fof(c_0_251_252,plain,
    ! [X47,X48,X31,X14,X9,X49,X11] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X9,X49,X14,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X31,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X31,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(fof_simplification,[status(thm)],[c_0_15]) ).

fof(c_0_252_253,plain,
    ! [X47,X48,X14,X15,X9,X22,X11] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X9,X15,X14,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X22,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X22,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(fof_simplification,[status(thm)],[c_0_16]) ).

fof(c_0_253_254,plain,
    ! [X76,X92,X45,X9,X22,X11,X50] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCall(X9,X50,X45,tc_List_Olist(tc_String_Ochar)),X92,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X22,tc_List_Olist(tc_String_Ochar)),X76,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X92,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X22,tc_List_Olist(tc_String_Ochar)),X76,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(fof_simplification,[status(thm)],[c_0_17]) ).

fof(c_0_254_255,plain,
    ! [X47,X48,X9,X22,X11,X17,X18] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAcc(X9,X17,X18,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X22,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X22,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(fof_simplification,[status(thm)],[c_0_18]) ).

fof(c_0_255_256,plain,
    ! [X47,X48,X31,X9,X11,X46] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X46,X9,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCast(X46,X31,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(fof_simplification,[status(thm)],[c_0_19]) ).

fof(c_0_256_257,plain,
    ! [X47,X48,X31,X9,X51,X11] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X51,X9,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OLAss(X51,X31,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(fof_simplification,[status(thm)],[c_0_20]) ).

fof(c_0_257_258,plain,
    ! [X47,X48,X31,X14,X9,X11] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X9,X14,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OSeq(X31,X14,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(fof_simplification,[status(thm)],[c_0_21]) ).

fof(c_0_258_259,plain,
    ! [X47,X48,X9,X22,X51,X11] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X51,X9,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X22,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X22,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(fof_simplification,[status(thm)],[c_0_22]) ).

fof(c_0_259_260,plain,
    ! [X47,X48,X9,X22,X11,X46] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X46,X9,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X22,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X22,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(fof_simplification,[status(thm)],[c_0_23]) ).

fof(c_0_260_261,plain,
    ! [X47,X48,X31,X14,X9,X11] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X9,X14,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X31,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X31,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(fof_simplification,[status(thm)],[c_0_24]) ).

fof(c_0_261_262,plain,
    ! [X47,X48,X9,X22,X11] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_Othrow(X9,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X22,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X22,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(fof_simplification,[status(thm)],[c_0_25]) ).

fof(c_0_262_263,plain,
    ! [X47,X48,X31,X9,X11] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_Othrow(X9,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X31,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(fof_simplification,[status(thm)],[c_0_26]) ).

fof(c_0_263_264,plain,
    ! [X24,X47,X48,X31,X9,X11,X17,X18] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X24,tc_List_Olist(tc_String_Ochar)),X17,X18,X9,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X24,tc_List_Olist(tc_String_Ochar)),X17,X18,X31,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(fof_simplification,[status(thm)],[c_0_27]) ).

fof(c_0_264_265,plain,
    ! [X47,X48,X31,X14,X9,X51,X11,X46] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OTryCatch(X9,X46,X51,X14,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OTryCatch(X31,X46,X51,X14,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(fof_simplification,[status(thm)],[c_0_28]) ).

fof(c_0_265_266,plain,
    ! [X47,X48,X31,X14,X9,X11,X17,X18] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X9,X17,X18,X14,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAss(X31,X17,X18,X14,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(fof_simplification,[status(thm)],[c_0_29]) ).

fof(c_0_266_267,plain,
    ! [X74,X47,X48,X31,X9,X49,X11] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X74,tc_List_Olist(tc_String_Ochar)),X49,X9,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X74,tc_List_Olist(tc_String_Ochar)),X49,X31,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(fof_simplification,[status(thm)],[c_0_30]) ).

fof(c_0_267_268,plain,
    ! [X47,X48,X31,X14,X15,X9,X11] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X9,X15,X14,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCond(X31,X15,X14,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(fof_simplification,[status(thm)],[c_0_31]) ).

fof(c_0_268_269,plain,
    ! [X47,X48,X31,X9,X11,X17,X18] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAcc(X9,X17,X18,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAcc(X31,X17,X18,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(fof_simplification,[status(thm)],[c_0_32]) ).

fof(c_0_269_270,plain,
    ! [X47,X48,X45,X31,X9,X11,X50] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCall(X9,X50,X45,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCall(X31,X50,X45,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(fof_simplification,[status(thm)],[c_0_33]) ).

fof(c_0_270_271,plain,
    ! [X47,X48,X31,X14,X9,X49,X11] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X9,X49,X14,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OBinOp(X31,X49,X14,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(fof_simplification,[status(thm)],[c_0_34]) ).

fof(c_0_271_272,plain,
    ! [X47,X48,X31,X9,X11,X46] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X46,X9,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCast(X46,X31,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(fof_simplification,[status(thm)],[c_0_35]) ).

fof(c_0_272_273,plain,
    ! [X47,X48,X31,X14,X9,X11] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X9,X14,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OSeq(X31,X14,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(fof_simplification,[status(thm)],[c_0_36]) ).

fof(c_0_273_274,plain,
    ! [X47,X48,X31,X9,X51,X11] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X51,X9,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OLAss(X51,X31,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(fof_simplification,[status(thm)],[c_0_37]) ).

fof(c_0_274_275,plain,
    ! [X47,X48,X31,X9,X11] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_Othrow(X9,tc_List_Olist(tc_String_Ochar)),X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X31,tc_List_Olist(tc_String_Ochar)),X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(fof_simplification,[status(thm)],[c_0_38]) ).

fof(c_0_275_276,plain,
    ! [X24,X8,X9,X10,X11,X17,X12,X18] :
      ( c_WellTypeRT_OWTrt(X11,X8,X12,X24,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(X12,X11,X8,X24))
      | c_TypeRel_Ohas__field(X11,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X18,X12,X17,X11,X9,X8,X24),X17,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X18,X12,X17,X11,X9,X8,X24),X18,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,c_Expr_Oexp_OFAss(X9,X17,X18,X24,tc_List_Olist(tc_String_Ochar)),X10) ),
    inference(fof_simplification,[status(thm)],[c_0_39]) ).

fof(c_0_276_277,plain,
    ! [X24,X8,X9,X10,X11,X17,X12,X18] :
      ( c_WellTypeRT_OWTrt(X11,X8,X12,X9,c_Type_Oty_ONT)
      | c_TypeRel_Ohas__field(X11,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X18,X12,X17,X11,X9,X8,X24),X17,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X18,X12,X17,X11,X9,X8,X24),X18,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,c_Expr_Oexp_OFAss(X9,X17,X18,X24,tc_List_Olist(tc_String_Ochar)),X10) ),
    inference(fof_simplification,[status(thm)],[c_0_40]) ).

fof(c_0_277_278,plain,
    ! [X24,X8,X9,X10,X11,X17,X12,X18] :
      ( X10 = c_Type_Oty_OVoid
      | c_TypeRel_Ohas__field(X11,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X18,X12,X17,X11,X9,X8,X24),X17,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X18,X12,X17,X11,X9,X8,X24),X18,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,c_Expr_Oexp_OFAss(X9,X17,X18,X24,tc_List_Olist(tc_String_Ochar)),X10) ),
    inference(fof_simplification,[status(thm)],[c_0_41]) ).

fof(c_0_278_279,plain,
    ! [X24,X8,X9,X10,X11,X17,X12,X18] :
      ( c_WellTypeRT_OWTrt(X11,X8,X12,X24,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(X12,X11,X8,X24))
      | c_WellTypeRT_OWTrt(X11,X8,X12,X9,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X18,X12,X17,X11,X9,X8,X24)))
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,c_Expr_Oexp_OFAss(X9,X17,X18,X24,tc_List_Olist(tc_String_Ochar)),X10) ),
    inference(fof_simplification,[status(thm)],[c_0_42]) ).

fof(c_0_279_280,plain,
    ! [X24,X8,X9,X10,X11,X17,X12,X18] :
      ( c_WellTypeRT_OWTrt(X11,X8,X12,X9,c_Type_Oty_ONT)
      | c_WellTypeRT_OWTrt(X11,X8,X12,X9,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X18,X12,X17,X11,X9,X8,X24)))
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,c_Expr_Oexp_OFAss(X9,X17,X18,X24,tc_List_Olist(tc_String_Ochar)),X10) ),
    inference(fof_simplification,[status(thm)],[c_0_43]) ).

fof(c_0_280_281,plain,
    ! [X24,X8,X9,X10,X11,X17,X12,X18] :
      ( c_WellTypeRT_OWTrt(X11,X8,X12,X24,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(X12,X11,X8,X24))
      | c_TypeRel_Owiden(X11,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X18,X12,X17,X11,X9,X8,X24),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X18,X12,X17,X11,X9,X8,X24),tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,c_Expr_Oexp_OFAss(X9,X17,X18,X24,tc_List_Olist(tc_String_Ochar)),X10) ),
    inference(fof_simplification,[status(thm)],[c_0_44]) ).

fof(c_0_281_282,plain,
    ! [X24,X8,X9,X10,X11,X17,X12,X18] :
      ( c_WellTypeRT_OWTrt(X11,X8,X12,X9,c_Type_Oty_ONT)
      | c_TypeRel_Owiden(X11,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X18,X12,X17,X11,X9,X8,X24),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X18,X12,X17,X11,X9,X8,X24),tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,c_Expr_Oexp_OFAss(X9,X17,X18,X24,tc_List_Olist(tc_String_Ochar)),X10) ),
    inference(fof_simplification,[status(thm)],[c_0_45]) ).

fof(c_0_282_283,plain,
    ! [X24,X8,X9,X10,X11,X17,X12,X18] :
      ( X10 = c_Type_Oty_OVoid
      | c_WellTypeRT_OWTrt(X11,X8,X12,X9,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X18,X12,X17,X11,X9,X8,X24)))
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,c_Expr_Oexp_OFAss(X9,X17,X18,X24,tc_List_Olist(tc_String_Ochar)),X10) ),
    inference(fof_simplification,[status(thm)],[c_0_46]) ).

fof(c_0_283_284,plain,
    ! [X24,X8,X9,X10,X11,X17,X12,X18] :
      ( X10 = c_Type_Oty_OVoid
      | c_TypeRel_Owiden(X11,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X18,X12,X17,X11,X9,X8,X24),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X18,X12,X17,X11,X9,X8,X24),tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,c_Expr_Oexp_OFAss(X9,X17,X18,X24,tc_List_Olist(tc_String_Ochar)),X10) ),
    inference(fof_simplification,[status(thm)],[c_0_47]) ).

fof(c_0_284_285,plain,
    ! [X29,X30,X7,X8,X31,X9,X10,X11,X12] :
      ( c_Conform_Olconf(X11,X7,X29,X12,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_Conform_Olconf(X11,X8,X30,X12,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,X9,X10)
      | ~ c_in(c_Pair(c_Pair(X9,c_Pair(X8,X30,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,c_Pair(X7,X29,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(fof_simplification,[status(thm)],[c_0_48]) ).

fof(c_0_285_286,plain,
    ! [X8,X9,X10,X11,X17,X12,X18] :
      ( c_WellTypeRT_OWTrt(X11,X8,X12,X9,c_Type_Oty_ONT)
      | c_WellTypeRT_OWTrt(X11,X8,X12,X9,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1(X18,X12,X17,X11,X10,X9,X8)))
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,c_Expr_Oexp_OFAcc(X9,X17,X18,tc_List_Olist(tc_String_Ochar)),X10) ),
    inference(fof_simplification,[status(thm)],[c_0_49]) ).

fof(c_0_286_287,plain,
    ! [X29,X30,X7,X8,X31,X9,X10,X11,X12] :
      ( c_Conform_Ohconf(X11,X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_Conform_Ohconf(X11,X8,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,X9,X10)
      | ~ c_in(c_Pair(c_Pair(X9,c_Pair(X8,X30,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,c_Pair(X7,X29,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(fof_simplification,[status(thm)],[c_0_50]) ).

fof(c_0_287_288,plain,
    ! [X60,X61,X62,X63,X31,X9,X11] :
      ( c_lessequals(c_Map_Odom(X61,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Map_Odom(X60,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
      | ~ c_in(c_Pair(c_Pair(X9,c_Pair(X63,X61,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,c_Pair(X62,X60,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(fof_simplification,[status(thm)],[c_0_51]) ).

fof(c_0_288_289,plain,
    ! [X29,X30,X7,X8,X31,X9,X11] :
      ( c_Objects_Ohext(X8,X7)
      | ~ c_in(c_Pair(c_Pair(X9,c_Pair(X8,X30,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,c_Pair(X7,X29,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(fof_simplification,[status(thm)],[c_0_52]) ).

fof(c_0_289_290,plain,
    ! [X58,X47,X48,X59,X31,X9,X11] :
      ( c_BigStep_Oeval(X11,X9,X48,X31,X47)
      | ~ c_BigStep_Oeval(X11,X59,X58,X31,X47)
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X59,X58,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X11,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    inference(fof_simplification,[status(thm)],[c_0_53]) ).

fof(c_0_290_291,plain,
    ! [X58,X47,X48,X59,X31,X9,X11] :
      ( c_BigStep_Oeval(X11,X9,X48,X31,X47)
      | ~ c_BigStep_Oeval(X11,X59,X58,X31,X47)
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X59,X58,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X11,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    inference(fof_simplification,[status(thm)],[c_0_54]) ).

fof(c_0_291_292,plain,
    ! [X47,X48,X31,X9,X10,X11,X12] :
      ( c_TypeSafe__Mirabelle_Osconf(X11,X12,X47)
      | ~ c_TypeSafe__Mirabelle_Osconf(X11,X12,X48)
      | ~ c_WellTypeRT_OWTrt(X11,c_State_Ohp(X48),X12,X9,X10)
      | ~ c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X11),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(fof_simplification,[status(thm)],[c_0_55]) ).

fof(c_0_292_293,plain,
    ! [X8,X9,X10,X11,X17,X12,X18] :
      ( c_WellTypeRT_OWTrt(X11,X8,X12,X9,c_Type_Oty_ONT)
      | c_TypeRel_Ohas__field(X11,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1(X18,X12,X17,X11,X10,X9,X8),X17,X10,X18,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,c_Expr_Oexp_OFAcc(X9,X17,X18,tc_List_Olist(tc_String_Ochar)),X10) ),
    inference(fof_simplification,[status(thm)],[c_0_56]) ).

fof(c_0_293_294,plain,
    ! [X24,X8,X9,X10,X11,X17,X12,X18] :
      ( c_WellTypeRT_OWTrt(X11,X8,X12,X24,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(X12,X11,X8,X24))
      | c_WellTypeRT_OWTrt(X11,X8,X12,X24,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X18,X12,X17,X11,X9,X8,X24))
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,c_Expr_Oexp_OFAss(X9,X17,X18,X24,tc_List_Olist(tc_String_Ochar)),X10) ),
    inference(fof_simplification,[status(thm)],[c_0_57]) ).

fof(c_0_294_295,plain,
    ! [X24,X8,X9,X10,X11,X17,X12,X18] :
      ( c_WellTypeRT_OWTrt(X11,X8,X12,X9,c_Type_Oty_ONT)
      | c_WellTypeRT_OWTrt(X11,X8,X12,X24,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X18,X12,X17,X11,X9,X8,X24))
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,c_Expr_Oexp_OFAss(X9,X17,X18,X24,tc_List_Olist(tc_String_Ochar)),X10) ),
    inference(fof_simplification,[status(thm)],[c_0_58]) ).

fof(c_0_295_296,plain,
    ! [X24,X8,X9,X10,X11,X17,X12,X18] :
      ( X10 = c_Type_Oty_OVoid
      | c_WellTypeRT_OWTrt(X11,X8,X12,X24,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X18,X12,X17,X11,X9,X8,X24))
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,c_Expr_Oexp_OFAss(X9,X17,X18,X24,tc_List_Olist(tc_String_Ochar)),X10) ),
    inference(fof_simplification,[status(thm)],[c_0_59]) ).

fof(c_0_296_297,plain,
    ! [X47,X48,X31,X9,X11] :
      ( c_in(c_Pair(c_Pair(X9,X48,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X31,X47,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X11),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_BigStep_Oeval(X11,X9,X48,X31,X47)
      | ~ c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X11,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    inference(fof_simplification,[status(thm)],[c_0_60]) ).

fof(c_0_297_298,plain,
    ! [X24,X22,X10,X11,X17,X12,X18] :
      ( c_TypeRel_Osees__field(X11,c_WellType_Osko__WellType__XWT__elim__cases__8__1(X18,X12,X17,X11,X22,X24),X17,c_WellType_Osko__WellType__XWT__elim__cases__8__2(X18,X12,X17,X11,X22,X24),X18,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellType_OWT(X11,X12,c_Expr_Oexp_OFAss(X22,X17,X18,X24,tc_List_Olist(tc_String_Ochar)),X10) ),
    inference(fof_simplification,[status(thm)],[c_0_61]) ).

fof(c_0_298_299,plain,
    ! [X24,X22,X10,X11,X17,X12,X18] :
      ( c_TypeRel_Owiden(X11,c_WellType_Osko__WellType__XWT__elim__cases__8__3(X18,X12,X17,X11,X22,X24),c_WellType_Osko__WellType__XWT__elim__cases__8__2(X18,X12,X17,X11,X22,X24),tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellType_OWT(X11,X12,c_Expr_Oexp_OFAss(X22,X17,X18,X24,tc_List_Olist(tc_String_Ochar)),X10) ),
    inference(fof_simplification,[status(thm)],[c_0_62]) ).

fof(c_0_299_300,plain,
    ! [X24,X22,X10,X11,X17,X12,X18] :
      ( c_WellType_OWT(X11,X12,X22,c_Type_Oty_OClass(c_WellType_Osko__WellType__XWT__elim__cases__8__1(X18,X12,X17,X11,X22,X24)))
      | ~ c_WellType_OWT(X11,X12,c_Expr_Oexp_OFAss(X22,X17,X18,X24,tc_List_Olist(tc_String_Ochar)),X10) ),
    inference(fof_simplification,[status(thm)],[c_0_63]) ).

fof(c_0_300_301,plain,
    ! [X22,X10,X11,X17,X12,X18] :
      ( c_WellType_OWT(X11,X12,X22,c_Type_Oty_OClass(c_WellType_Osko__WellType__XWT__elim__cases__7__1(X18,X12,X17,X11,X10,X22)))
      | ~ c_WellType_OWT(X11,X12,c_Expr_Oexp_OFAcc(X22,X17,X18,tc_List_Olist(tc_String_Ochar)),X10) ),
    inference(fof_simplification,[status(thm)],[c_0_64]) ).

fof(c_0_301_302,plain,
    ! [X22,X10,X11,X17,X12,X18] :
      ( c_TypeRel_Osees__field(X11,c_WellType_Osko__WellType__XWT__elim__cases__7__1(X18,X12,X17,X11,X10,X22),X17,X10,X18,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellType_OWT(X11,X12,c_Expr_Oexp_OFAcc(X22,X17,X18,tc_List_Olist(tc_String_Ochar)),X10) ),
    inference(fof_simplification,[status(thm)],[c_0_65]) ).

fof(c_0_302_303,plain,
    ! [X79,X10,X11,X17,X95,X18,X46,X3] :
      ( X79 = X10
      | ~ c_TypeRel_Osees__field(X11,X46,X17,X79,X95,X3)
      | ~ c_TypeRel_Osees__field(X11,X46,X17,X10,X18,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_66]) ).

fof(c_0_303_304,plain,
    ! [X79,X10,X11,X17,X95,X18,X46,X3] :
      ( X95 = X18
      | ~ c_TypeRel_Osees__field(X11,X46,X17,X79,X95,X3)
      | ~ c_TypeRel_Osees__field(X11,X46,X17,X10,X18,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_67]) ).

fof(c_0_304_305,plain,
    ! [X8,X14,X15,X6,X10,X11,X17,X12,X18,X46] :
      ( c_WellTypeRT_OWTrt(X11,X8,X12,c_Expr_Oexp_OFAss(X15,X17,X18,X14,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
      | ~ c_TypeRel_Owiden(X11,X6,X10,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,X14,X6)
      | ~ c_TypeRel_Ohas__field(X11,X46,X17,X10,X18,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,X15,c_Type_Oty_OClass(X46)) ),
    inference(fof_simplification,[status(thm)],[c_0_68]) ).

fof(c_0_305_306,plain,
    ! [X8,X14,X15,X6,X10,X11,X17,X12,X18,X46] :
      ( c_Progress_OWTrt_H(X11,X8,X12,c_Expr_Oexp_OFAss(X15,X17,X18,X14,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
      | ~ c_TypeRel_Owiden(X11,X6,X10,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_Progress_OWTrt_H(X11,X8,X12,X14,X6)
      | ~ c_TypeRel_Ohas__field(X11,X46,X17,X10,X18,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_Progress_OWTrt_H(X11,X8,X12,X15,c_Type_Oty_OClass(X46)) ),
    inference(fof_simplification,[status(thm)],[c_0_69]) ).

fof(c_0_306_307,plain,
    ! [X24,X22,X10,X11,X17,X12,X18] :
      ( c_WellType_OWT(X11,X12,X24,c_WellType_Osko__WellType__XWT__elim__cases__8__3(X18,X12,X17,X11,X22,X24))
      | ~ c_WellType_OWT(X11,X12,c_Expr_Oexp_OFAss(X22,X17,X18,X24,tc_List_Olist(tc_String_Ochar)),X10) ),
    inference(fof_simplification,[status(thm)],[c_0_70]) ).

fof(c_0_307_308,plain,
    ! [X10,X11,X17,X18,X46,X3] :
      ( c_TypeRel_Ohas__field(X11,X46,X17,X10,X18,X3)
      | ~ c_TypeRel_Osees__field(X11,X46,X17,X10,X18,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_71]) ).

fof(c_0_308_309,plain,
    ! [X10,X11,X17,X18,X46,X3] :
      ( c_TypeRel_Osees__field(X11,X18,X17,X10,X18,X3)
      | ~ c_TypeRel_Osees__field(X11,X46,X17,X10,X18,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_72]) ).

fof(c_0_309_310,plain,
    ! [X14,X15,X79,X10,X11,X17,X12,X18,X46] :
      ( c_WellType_OWT(X11,X12,c_Expr_Oexp_OFAss(X15,X17,X18,X14,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
      | ~ c_TypeRel_Owiden(X11,X79,X10,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellType_OWT(X11,X12,X14,X79)
      | ~ c_TypeRel_Osees__field(X11,X46,X17,X10,X18,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellType_OWT(X11,X12,X15,c_Type_Oty_OClass(X46)) ),
    inference(fof_simplification,[status(thm)],[c_0_73]) ).

fof(c_0_310_311,plain,
    ! [X8,X9,X10,X11,X17,X12,X18,X46] :
      ( c_Progress_OWTrt_H(X11,X8,X12,c_Expr_Oexp_OFAcc(X9,X17,X18,tc_List_Olist(tc_String_Ochar)),X10)
      | ~ c_TypeRel_Ohas__field(X11,X46,X17,X10,X18,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_Progress_OWTrt_H(X11,X8,X12,X9,c_Type_Oty_OClass(X46)) ),
    inference(fof_simplification,[status(thm)],[c_0_74]) ).

fof(c_0_311_312,plain,
    ! [X8,X9,X10,X11,X17,X12,X18,X46] :
      ( c_WellTypeRT_OWTrt(X11,X8,X12,c_Expr_Oexp_OFAcc(X9,X17,X18,tc_List_Olist(tc_String_Ochar)),X10)
      | ~ c_TypeRel_Ohas__field(X11,X46,X17,X10,X18,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,X9,c_Type_Oty_OClass(X46)) ),
    inference(fof_simplification,[status(thm)],[c_0_75]) ).

fof(c_0_312_313,plain,
    ! [X9,X10,X11,X17,X12,X18,X46] :
      ( c_WellType_OWT(X11,X12,c_Expr_Oexp_OFAcc(X9,X17,X18,tc_List_Olist(tc_String_Ochar)),X10)
      | ~ c_TypeRel_Osees__field(X11,X46,X17,X10,X18,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellType_OWT(X11,X12,X9,c_Type_Oty_OClass(X46)) ),
    inference(fof_simplification,[status(thm)],[c_0_76]) ).

fof(c_0_313_314,plain,
    ! [X60,X61,X62,X63,X44,X45,X11] :
      ( c_lessequals(c_Map_Odom(X61,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Map_Odom(X60,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
      | ~ c_BigStep_Oevals(X11,X45,c_Pair(X63,X61,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),X44,c_Pair(X62,X60,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
    inference(fof_simplification,[status(thm)],[c_0_77]) ).

fof(c_0_314_315,plain,
    ! [X60,X61,X62,X63,X31,X9,X11] :
      ( c_lessequals(c_Map_Odom(X61,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Map_Odom(X60,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
      | ~ c_BigStep_Oeval(X11,X9,c_Pair(X63,X61,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),X31,c_Pair(X62,X60,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
    inference(fof_simplification,[status(thm)],[c_0_78]) ).

fof(c_0_315_316,plain,
    ! [X29,X30,X7,X8,X44,X45,X11] :
      ( c_Objects_Ohext(X8,X7)
      | ~ c_BigStep_Oevals(X11,X45,c_Pair(X8,X30,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),X44,c_Pair(X7,X29,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
    inference(fof_simplification,[status(thm)],[c_0_79]) ).

fof(c_0_316_317,plain,
    ! [X29,X30,X7,X8,X31,X9,X11] :
      ( c_Objects_Ohext(X8,X7)
      | ~ c_BigStep_Oeval(X11,X9,c_Pair(X8,X30,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),X31,c_Pair(X7,X29,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
    inference(fof_simplification,[status(thm)],[c_0_80]) ).

fof(c_0_317_318,plain,
    ! [X10,X12] :
      ( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,X12,v_e_Ha____,v_sko__local__XFAssRed1__Xhyps__2__1(X12,v_P,X10,v_e_Ha____,v_h_Ha____))
      | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X12,v_ea____,X10)
      | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X12,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
    inference(fof_simplification,[status(thm)],[c_0_81]) ).

fof(c_0_318_319,plain,
    ! [X10,X12] :
      ( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,X12,v_e_Ha____,v_sko__local__XFAssRed1__2__1(X12,v_P,X10,v_e_Ha____,v_h_Ha____))
      | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X12,v_ea____,X10)
      | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X12,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
    inference(fof_simplification,[status(thm)],[c_0_82]) ).

fof(c_0_319_320,plain,
    ! [X27,X28] :
      ( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,X28,v_e_Ha____,v_sko__local__XIH__1(X28,v_P,X27,v_e_Ha____,v_h_Ha____))
      | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X28,v_ea____,X27)
      | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X28,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
    inference(fof_simplification,[status(thm)],[c_0_83]) ).

fof(c_0_320_321,plain,
    ! [X27,X28] :
      ( c_TypeRel_Owiden(v_P,v_sko__local__XIH__1(X28,v_P,X27,v_e_Ha____,v_h_Ha____),X27,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X28,v_ea____,X27)
      | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X28,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
    inference(fof_simplification,[status(thm)],[c_0_84]) ).

fof(c_0_321_322,plain,
    ! [X10,X12] :
      ( c_TypeRel_Owiden(v_P,v_sko__local__XFAssRed1__Xhyps__2__1(X12,v_P,X10,v_e_Ha____,v_h_Ha____),X10,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X12,v_ea____,X10)
      | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X12,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
    inference(fof_simplification,[status(thm)],[c_0_85]) ).

fof(c_0_322_323,plain,
    ! [X10,X12] :
      ( c_TypeRel_Owiden(v_P,v_sko__local__XFAssRed1__2__1(X12,v_P,X10,v_e_Ha____,v_h_Ha____),X10,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X12,v_ea____,X10)
      | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X12,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
    inference(fof_simplification,[status(thm)],[c_0_86]) ).

fof(c_0_323_324,plain,
    ! [X24,X75,X76,X77,X31,X14,X15,X11,X17,X18] :
      ( c_BigStep_Oeval(X11,c_Expr_Oexp_OFAss(X15,X17,X18,X14,tc_List_Olist(tc_String_Ochar)),X77,c_Expr_Oexp_Othrow(X31,tc_List_Olist(tc_String_Ochar)),X75)
      | ~ c_BigStep_Oeval(X11,X14,X76,c_Expr_Oexp_Othrow(X31,tc_List_Olist(tc_String_Ochar)),X75)
      | ~ c_BigStep_Oeval(X11,X15,X77,c_Expr_Oexp_OVal(X24,tc_List_Olist(tc_String_Ochar)),X76) ),
    inference(fof_simplification,[status(thm)],[c_0_87]) ).

fof(c_0_324_325,plain,
    ! [X8,X14,X15,X6,X11,X17,X12,X18] :
      ( c_Progress_OWTrt_H(X11,X8,X12,c_Expr_Oexp_OFAss(X15,X17,X18,X14,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
      | ~ c_Progress_OWTrt_H(X11,X8,X12,X14,X6)
      | ~ c_Progress_OWTrt_H(X11,X8,X12,X15,c_Type_Oty_ONT) ),
    inference(fof_simplification,[status(thm)],[c_0_88]) ).

fof(c_0_325_326,plain,
    ! [X8,X14,X15,X6,X11,X17,X12,X18] :
      ( c_WellTypeRT_OWTrt(X11,X8,X12,c_Expr_Oexp_OFAss(X15,X17,X18,X14,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,X14,X6)
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,X15,c_Type_Oty_ONT) ),
    inference(fof_simplification,[status(thm)],[c_0_89]) ).

fof(c_0_326_327,plain,
    ! [X24,X8,X9,X10,X11,X17,X12,X18] :
      ( c_WellTypeRT_OWTrt(X11,X8,X12,X24,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(X12,X11,X8,X24))
      | X10 = c_Type_Oty_OVoid
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,c_Expr_Oexp_OFAss(X9,X17,X18,X24,tc_List_Olist(tc_String_Ochar)),X10) ),
    inference(fof_simplification,[status(thm)],[c_0_90]) ).

fof(c_0_327_328,plain,
    ! [X24,X8,X9,X10,X11,X17,X12,X18] :
      ( c_WellTypeRT_OWTrt(X11,X8,X12,X9,c_Type_Oty_ONT)
      | X10 = c_Type_Oty_OVoid
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,c_Expr_Oexp_OFAss(X9,X17,X18,X24,tc_List_Olist(tc_String_Ochar)),X10) ),
    inference(fof_simplification,[status(thm)],[c_0_91]) ).

fof(c_0_328_329,plain,
    ! [X48,X52,X19,X20,X21,X22,X23,X3] :
      ( c_in(c_Pair(X20,X19,X23,X23),X48,tc_prod(X23,X23))
      | c_in(c_Pair(X22,X21,X3,X3),X52,tc_prod(X3,X3))
      | ~ c_in(c_Pair(c_Pair(X22,X20,X3,X23),c_Pair(X21,X19,X3,X23),tc_prod(X3,X23),tc_prod(X3,X23)),c_Wellfounded_Olex__prod(X52,X48,X3,X23),tc_prod(tc_prod(X3,X23),tc_prod(X3,X23))) ),
    inference(fof_simplification,[status(thm)],[c_0_92]) ).

fof(c_0_329_330,plain,
    ! [X24,X8,X9,X10,X11,X17,X12,X18] :
      ( X10 = c_Type_Oty_OVoid
      | X10 = c_Type_Oty_OVoid
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,c_Expr_Oexp_OFAss(X9,X17,X18,X24,tc_List_Olist(tc_String_Ochar)),X10) ),
    inference(fof_simplification,[status(thm)],[c_0_93]) ).

fof(c_0_330_331,plain,
    ! [X48,X52,X19,X20,X21,X22,X23,X3] :
      ( X22 = X21
      | c_in(c_Pair(X22,X21,X3,X3),X52,tc_prod(X3,X3))
      | ~ c_in(c_Pair(c_Pair(X22,X20,X3,X23),c_Pair(X21,X19,X3,X23),tc_prod(X3,X23),tc_prod(X3,X23)),c_Wellfounded_Olex__prod(X52,X48,X3,X23),tc_prod(tc_prod(X3,X23),tc_prod(X3,X23))) ),
    inference(fof_simplification,[status(thm)],[c_0_94]) ).

fof(c_0_331_332,plain,
    ! [X74,X75,X76,X77,X14,X15,X9,X49,X11] :
      ( c_BigStep_Oeval(X11,c_Expr_Oexp_OBinOp(X15,X49,X14,tc_List_Olist(tc_String_Ochar)),X77,c_Expr_Oexp_Othrow(X9,tc_List_Olist(tc_String_Ochar)),X75)
      | ~ c_BigStep_Oeval(X11,X14,X76,c_Expr_Oexp_Othrow(X9,tc_List_Olist(tc_String_Ochar)),X75)
      | ~ c_BigStep_Oeval(X11,X15,X77,c_Expr_Oexp_OVal(X74,tc_List_Olist(tc_String_Ochar)),X76) ),
    inference(fof_simplification,[status(thm)],[c_0_95]) ).

fof(c_0_332_333,plain,
    ! [X74,X76,X77,X14,X15,X51,X11,X46] :
      ( c_BigStep_Oeval(X11,c_Expr_Oexp_OTryCatch(X15,X46,X51,X14,tc_List_Olist(tc_String_Ochar)),X77,c_Expr_Oexp_OVal(X74,tc_List_Olist(tc_String_Ochar)),X76)
      | ~ c_BigStep_Oeval(X11,X15,X77,c_Expr_Oexp_OVal(X74,tc_List_Olist(tc_String_Ochar)),X76) ),
    inference(fof_simplification,[status(thm)],[c_0_96]) ).

fof(c_0_333_334,plain,
    ! [X76,X77,X31,X14,X15,X11,X17,X18] :
      ( c_BigStep_Oeval(X11,c_Expr_Oexp_OFAss(X15,X17,X18,X14,tc_List_Olist(tc_String_Ochar)),X77,c_Expr_Oexp_Othrow(X31,tc_List_Olist(tc_String_Ochar)),X76)
      | ~ c_BigStep_Oeval(X11,X15,X77,c_Expr_Oexp_Othrow(X31,tc_List_Olist(tc_String_Ochar)),X76) ),
    inference(fof_simplification,[status(thm)],[c_0_97]) ).

fof(c_0_334_335,plain,
    ! [X24,X75,X76,X77,X14,X15,X93,X11] :
      ( c_BigStep_Oeval(X11,c_Expr_Oexp_OSeq(X93,X15,tc_List_Olist(tc_String_Ochar)),X77,X14,X75)
      | ~ c_BigStep_Oeval(X11,X15,X76,X14,X75)
      | ~ c_BigStep_Oeval(X11,X93,X77,c_Expr_Oexp_OVal(X24,tc_List_Olist(tc_String_Ochar)),X76) ),
    inference(fof_simplification,[status(thm)],[c_0_98]) ).

fof(c_0_335_336,plain,
    ! [X8,X14,X15,X6,X16,X11,X12] :
      ( c_Progress_OWTrt_H(X11,X8,X12,c_Expr_Oexp_OSeq(X15,X14,tc_List_Olist(tc_String_Ochar)),X6)
      | ~ c_Progress_OWTrt_H(X11,X8,X12,X14,X6)
      | ~ c_Progress_OWTrt_H(X11,X8,X12,X15,X16) ),
    inference(fof_simplification,[status(thm)],[c_0_99]) ).

fof(c_0_336_337,plain,
    ! [X8,X14,X15,X6,X16,X11,X12] :
      ( c_WellTypeRT_OWTrt(X11,X8,X12,c_Expr_Oexp_OSeq(X15,X14,tc_List_Olist(tc_String_Ochar)),X6)
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,X14,X6)
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,X15,X16) ),
    inference(fof_simplification,[status(thm)],[c_0_100]) ).

fof(c_0_337_338,plain,
    ! [X14,X15,X51,X10,X11,X12,X46] :
      ( c_WellType_OWT(X11,X12,X15,X10)
      | ~ c_WellType_OWT(X11,X12,c_Expr_Oexp_OTryCatch(X15,X46,X51,X14,tc_List_Olist(tc_String_Ochar)),X10) ),
    inference(fof_simplification,[status(thm)],[c_0_101]) ).

fof(c_0_338_339,plain,
    ! [X70,X54,X55,X71,X11,X23,X3] :
      ( c_in(c_Pair(c_Pair(X55,X70,X3,X23),c_Pair(X55,X54,X3,X23),tc_prod(X3,X23),tc_prod(X3,X23)),c_Recdef_Osame__fst(X11,X71,X3,X23),tc_prod(tc_prod(X3,X23),tc_prod(X3,X23)))
      | ~ c_in(c_Pair(X70,X54,X23,X23),hAPP(X71,X55),tc_prod(X23,X23))
      | ~ hBOOL(hAPP(X11,X55)) ),
    inference(fof_simplification,[status(thm)],[c_0_102]) ).

fof(c_0_339_340,plain,
    ! [X24,X22,X10,X11,X17,X12,X18] :
      ( X10 = c_Type_Oty_OVoid
      | ~ c_WellType_OWT(X11,X12,c_Expr_Oexp_OFAss(X22,X17,X18,X24,tc_List_Olist(tc_String_Ochar)),X10) ),
    inference(fof_simplification,[status(thm)],[c_0_103]) ).

fof(c_0_340_341,plain,
    ! [X55,X48,X52,X19,X20,X23,X3] :
      ( c_in(c_Pair(c_Pair(X55,X20,X3,X23),c_Pair(X55,X19,X3,X23),tc_prod(X3,X23),tc_prod(X3,X23)),c_Wellfounded_Olex__prod(X52,X48,X3,X23),tc_prod(tc_prod(X3,X23),tc_prod(X3,X23)))
      | ~ c_in(c_Pair(X20,X19,X23,X23),X48,tc_prod(X23,X23)) ),
    inference(fof_simplification,[status(thm)],[c_0_104]) ).

fof(c_0_341_342,plain,
    ! [X48,X52,X19,X20,X21,X22,X23,X3] :
      ( c_in(c_Pair(c_Pair(X22,X20,X3,X23),c_Pair(X21,X19,X3,X23),tc_prod(X3,X23),tc_prod(X3,X23)),c_Wellfounded_Olex__prod(X52,X48,X3,X23),tc_prod(tc_prod(X3,X23),tc_prod(X3,X23)))
      | ~ c_in(c_Pair(X22,X21,X3,X3),X52,tc_prod(X3,X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_105]) ).

fof(c_0_342_343,axiom,
    ! [X68,X69,X36,X37,X38,X39,X21,X22,X3] :
      ( c_Expr_Oexp_OTryCatch(X39,X69,X22,X37,X3) != c_Expr_Oexp_OTryCatch(X38,X68,X21,X36,X3)
      | X37 = X36 ),
    c_0_106 ).

fof(c_0_343_344,axiom,
    ! [X68,X69,X36,X37,X38,X39,X21,X22,X3] :
      ( c_Expr_Oexp_OTryCatch(X39,X69,X22,X37,X3) != c_Expr_Oexp_OTryCatch(X38,X68,X21,X36,X3)
      | X22 = X21 ),
    c_0_107 ).

fof(c_0_344_345,axiom,
    ! [X68,X69,X36,X37,X38,X39,X21,X22,X3] :
      ( c_Expr_Oexp_OTryCatch(X39,X69,X22,X37,X3) != c_Expr_Oexp_OTryCatch(X38,X68,X21,X36,X3)
      | X69 = X68 ),
    c_0_108 ).

fof(c_0_345_346,axiom,
    ! [X68,X69,X36,X37,X38,X39,X21,X22,X3] :
      ( c_Expr_Oexp_OTryCatch(X39,X69,X22,X37,X3) != c_Expr_Oexp_OTryCatch(X38,X68,X21,X36,X3)
      | X39 = X38 ),
    c_0_109 ).

fof(c_0_346_347,axiom,
    ! [X32,X33,X34,X35,X36,X37,X38,X39,X3] :
      ( c_Expr_Oexp_OFAss(X39,X35,X33,X37,X3) != c_Expr_Oexp_OFAss(X38,X34,X32,X36,X3)
      | X37 = X36 ),
    c_0_110 ).

fof(c_0_347_348,axiom,
    ! [X32,X33,X34,X35,X36,X37,X38,X39,X3] :
      ( c_Expr_Oexp_OFAss(X39,X35,X33,X37,X3) != c_Expr_Oexp_OFAss(X38,X34,X32,X36,X3)
      | X33 = X32 ),
    c_0_111 ).

fof(c_0_348_349,axiom,
    ! [X32,X33,X34,X35,X36,X37,X38,X39,X3] :
      ( c_Expr_Oexp_OFAss(X39,X35,X33,X37,X3) != c_Expr_Oexp_OFAss(X38,X34,X32,X36,X3)
      | X35 = X34 ),
    c_0_112 ).

fof(c_0_349_350,axiom,
    ! [X32,X33,X34,X35,X36,X37,X38,X39,X3] :
      ( c_Expr_Oexp_OFAss(X39,X35,X33,X37,X3) != c_Expr_Oexp_OFAss(X38,X34,X32,X36,X3)
      | X39 = X38 ),
    c_0_113 ).

fof(c_0_350_351,plain,
    ! [X76,X77,X98,X31,X9,X11,X50] :
      ( c_BigStep_Oeval(X11,c_Expr_Oexp_OCall(X9,X50,X98,tc_List_Olist(tc_String_Ochar)),X77,c_Expr_Oexp_Othrow(X31,tc_List_Olist(tc_String_Ochar)),X76)
      | ~ c_BigStep_Oeval(X11,X9,X77,c_Expr_Oexp_Othrow(X31,tc_List_Olist(tc_String_Ochar)),X76) ),
    inference(fof_simplification,[status(thm)],[c_0_114]) ).

fof(c_0_351_352,plain,
    ! [X76,X77,X31,X14,X15,X9,X11] :
      ( c_BigStep_Oeval(X11,c_Expr_Oexp_OCond(X9,X15,X14,tc_List_Olist(tc_String_Ochar)),X77,c_Expr_Oexp_Othrow(X31,tc_List_Olist(tc_String_Ochar)),X76)
      | ~ c_BigStep_Oeval(X11,X9,X77,c_Expr_Oexp_Othrow(X31,tc_List_Olist(tc_String_Ochar)),X76) ),
    inference(fof_simplification,[status(thm)],[c_0_115]) ).

fof(c_0_352_353,plain,
    ! [X76,X77,X14,X15,X9,X49,X11] :
      ( c_BigStep_Oeval(X11,c_Expr_Oexp_OBinOp(X15,X49,X14,tc_List_Olist(tc_String_Ochar)),X77,c_Expr_Oexp_Othrow(X9,tc_List_Olist(tc_String_Ochar)),X76)
      | ~ c_BigStep_Oeval(X11,X15,X77,c_Expr_Oexp_Othrow(X9,tc_List_Olist(tc_String_Ochar)),X76) ),
    inference(fof_simplification,[status(thm)],[c_0_116]) ).

fof(c_0_353_354,plain,
    ! [X76,X77,X31,X9,X11,X17,X18] :
      ( c_BigStep_Oeval(X11,c_Expr_Oexp_OFAcc(X9,X17,X18,tc_List_Olist(tc_String_Ochar)),X77,c_Expr_Oexp_Othrow(X31,tc_List_Olist(tc_String_Ochar)),X76)
      | ~ c_BigStep_Oeval(X11,X9,X77,c_Expr_Oexp_Othrow(X31,tc_List_Olist(tc_String_Ochar)),X76) ),
    inference(fof_simplification,[status(thm)],[c_0_117]) ).

fof(c_0_354_355,plain,
    ! [X8,X9,X10,X11,X17,X12,X18] :
      ( c_WellTypeRT_OWTrt(X11,X8,X12,c_Expr_Oexp_OFAcc(X9,X17,X18,tc_List_Olist(tc_String_Ochar)),X10)
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,X9,c_Type_Oty_ONT) ),
    inference(fof_simplification,[status(thm)],[c_0_118]) ).

fof(c_0_355_356,plain,
    ! [X8,X9,X10,X11,X17,X12,X18] :
      ( c_Progress_OWTrt_H(X11,X8,X12,c_Expr_Oexp_OFAcc(X9,X17,X18,tc_List_Olist(tc_String_Ochar)),X10)
      | ~ c_Progress_OWTrt_H(X11,X8,X12,X9,c_Type_Oty_ONT) ),
    inference(fof_simplification,[status(thm)],[c_0_119]) ).

fof(c_0_356_357,plain,
    ! [X8,X9,X10,X11,X13,X12] :
      ( c_WellTypeRT_OWTrt(X11,X8,X13,X9,X10)
      | ~ c_Map_Omap__le(X12,X13,tc_List_Olist(tc_String_Ochar),tc_Type_Oty)
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,X9,X10) ),
    inference(fof_simplification,[status(thm)],[c_0_120]) ).

fof(c_0_357_358,plain,
    ! [X76,X77,X15,X93,X9,X11] :
      ( c_BigStep_Oeval(X11,c_Expr_Oexp_OSeq(X93,X15,tc_List_Olist(tc_String_Ochar)),X77,c_Expr_Oexp_Othrow(X9,tc_List_Olist(tc_String_Ochar)),X76)
      | ~ c_BigStep_Oeval(X11,X93,X77,c_Expr_Oexp_Othrow(X9,tc_List_Olist(tc_String_Ochar)),X76) ),
    inference(fof_simplification,[status(thm)],[c_0_121]) ).

fof(c_0_358_359,plain,
    ! [X76,X77,X31,X9,X51,X11] :
      ( c_BigStep_Oeval(X11,c_Expr_Oexp_OLAss(X51,X9,tc_List_Olist(tc_String_Ochar)),X77,c_Expr_Oexp_Othrow(X31,tc_List_Olist(tc_String_Ochar)),X76)
      | ~ c_BigStep_Oeval(X11,X9,X77,c_Expr_Oexp_Othrow(X31,tc_List_Olist(tc_String_Ochar)),X76) ),
    inference(fof_simplification,[status(thm)],[c_0_122]) ).

fof(c_0_359_360,plain,
    ! [X76,X77,X31,X9,X11,X46] :
      ( c_BigStep_Oeval(X11,c_Expr_Oexp_OCast(X46,X9,tc_List_Olist(tc_String_Ochar)),X77,c_Expr_Oexp_Othrow(X31,tc_List_Olist(tc_String_Ochar)),X76)
      | ~ c_BigStep_Oeval(X11,X9,X77,c_Expr_Oexp_Othrow(X31,tc_List_Olist(tc_String_Ochar)),X76) ),
    inference(fof_simplification,[status(thm)],[c_0_123]) ).

fof(c_0_360_361,plain,
    ! [X76,X77,X31,X9,X11] :
      ( c_BigStep_Oeval(X11,c_Expr_Oexp_Othrow(X9,tc_List_Olist(tc_String_Ochar)),X77,c_Expr_Oexp_Othrow(X31,tc_List_Olist(tc_String_Ochar)),X76)
      | ~ c_BigStep_Oeval(X11,X9,X77,c_Expr_Oexp_Othrow(X31,tc_List_Olist(tc_String_Ochar)),X76) ),
    inference(fof_simplification,[status(thm)],[c_0_124]) ).

fof(c_0_361_362,plain,
    ! [X30,X7,X8,X11,X12,X3] :
      ( c_Conform_Olconf(X11,X7,X30,X12,X3)
      | ~ c_Objects_Ohext(X8,X7)
      | ~ c_Conform_Olconf(X11,X8,X30,X12,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_125]) ).

fof(c_0_362_363,plain,
    ! [X7,X8,X9,X10,X11,X12] :
      ( c_WellTypeRT_OWTrt(X11,X7,X12,X9,X10)
      | ~ c_Objects_Ohext(X8,X7)
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,X9,X10) ),
    inference(fof_simplification,[status(thm)],[c_0_126]) ).

fof(c_0_363_364,plain,
    ! [X8,X9,X10,X11,X12] :
      ( c_Progress_OWTrt_H(X11,X8,X12,X9,X10)
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,X9,X10) ),
    inference(fof_simplification,[status(thm)],[c_0_127]) ).

fof(c_0_364_365,plain,
    ! [X8,X9,X10,X11,X12] :
      ( c_WellTypeRT_OWTrt(X11,X8,X12,X9,X10)
      | ~ c_Progress_OWTrt_H(X11,X8,X12,X9,X10) ),
    inference(fof_simplification,[status(thm)],[c_0_128]) ).

fof(c_0_365_366,plain,
    ! [X8,X25,X26,X23,X3] :
      ( c_Map_Omap__le(c_Map_Omap__add(X26,X25,X3,X23),X8,X3,X23)
      | ~ c_Map_Omap__le(X26,c_Map_Omap__add(X26,X25,X3,X23),X3,X23)
      | ~ c_Map_Omap__le(X25,X8,X3,X23)
      | ~ c_Map_Omap__le(X26,X8,X3,X23) ),
    inference(fof_simplification,[status(thm)],[c_0_129]) ).

fof(c_0_366_367,plain,
    ! [X52,X90,X20,X22,X3] :
      ( c_in(c_Pair(X22,X90,X3,X3),c_Transitive__Closure_Ortrancl(X52,X3),tc_prod(X3,X3))
      | ~ c_in(c_Pair(X20,X90,X3,X3),c_Transitive__Closure_Ortrancl(X52,X3),tc_prod(X3,X3))
      | ~ c_in(c_Pair(X22,X20,X3,X3),c_Transitive__Closure_Ortrancl(X52,X3),tc_prod(X3,X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_130]) ).

fof(c_0_367_368,plain,
    ! [X52,X90,X20,X22,X3] :
      ( c_in(c_Pair(X22,X90,X3,X3),c_Transitive__Closure_Ortrancl(X52,X3),tc_prod(X3,X3))
      | ~ c_in(c_Pair(X20,X90,X3,X3),c_Transitive__Closure_Ortrancl(X52,X3),tc_prod(X3,X3))
      | ~ c_in(c_Pair(X22,X20,X3,X3),X52,tc_prod(X3,X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_131]) ).

fof(c_0_368_369,plain,
    ! [X52,X90,X20,X22,X3] :
      ( c_in(c_Pair(X22,X90,X3,X3),c_Transitive__Closure_Ortrancl(X52,X3),tc_prod(X3,X3))
      | ~ c_in(c_Pair(X20,X90,X3,X3),X52,tc_prod(X3,X3))
      | ~ c_in(c_Pair(X22,X20,X3,X3),c_Transitive__Closure_Ortrancl(X52,X3),tc_prod(X3,X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_132]) ).

fof(c_0_369_370,plain,
    ! [X8,X9,X10,X11,X12,X18] :
      ( X10 = c_Type_Oty_OClass(X18)
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,c_Expr_Oexp_OCast(X18,X9,tc_List_Olist(tc_String_Ochar)),X10) ),
    inference(fof_simplification,[status(thm)],[c_0_133]) ).

fof(c_0_370_371,plain,
    ! [X24,X8,X9,X10,X11,X12] :
      ( X10 = c_Type_Oty_OVoid
      | ~ c_WellTypeRT_OWTrt(X11,X8,X12,c_Expr_Oexp_OLAss(X24,X9,tc_List_Olist(tc_String_Ochar)),X10) ),
    inference(fof_simplification,[status(thm)],[c_0_134]) ).

fof(c_0_371_372,plain,
    ! [X8,X9,X51,X10,X11,X12] :
      ( X10 = c_Type_Oty_OVoid
      | ~ c_Progress_OWTrt_H(X11,X8,X12,c_Expr_Oexp_OLAss(X51,X9,tc_List_Olist(tc_String_Ochar)),X10) ),
    inference(fof_simplification,[status(thm)],[c_0_135]) ).

fof(c_0_372_373,plain,
    ! [X24,X47,X48,X31,X11] :
      ( X31 = c_Expr_Oexp_OVal(X24,tc_List_Olist(tc_String_Ochar))
      | ~ c_BigStep_Oeval(X11,c_Expr_Oexp_OVal(X24,tc_List_Olist(tc_String_Ochar)),X48,X31,X47) ),
    inference(fof_simplification,[status(thm)],[c_0_136]) ).

fof(c_0_373_374,plain,
    ! [X24,X47,X48,X31,X11] :
      ( X47 = X48
      | ~ c_BigStep_Oeval(X11,c_Expr_Oexp_OVal(X24,tc_List_Olist(tc_String_Ochar)),X48,X31,X47) ),
    inference(fof_simplification,[status(thm)],[c_0_137]) ).

fof(c_0_374_375,plain,
    ! [X6] :
      ( v_thesis____
      | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X6) ),
    inference(fof_simplification,[status(thm)],[c_0_138]) ).

fof(c_0_375_376,plain,
    ! [X20,X22,X65,X53,X23,X3] :
      ( c_in(X20,hAPP(X65,X22),X23)
      | ~ c_in(c_Pair(X22,X20,X3,X23),c_Product__Type_OSigma(X53,X65,X3,X23),tc_prod(X3,X23)) ),
    inference(fof_simplification,[status(thm)],[c_0_139]) ).

fof(c_0_376_377,plain,
    ! [X20,X22,X65,X53,X23,X3] :
      ( c_in(X22,X53,X3)
      | ~ c_in(c_Pair(X22,X20,X3,X23),c_Product__Type_OSigma(X53,X65,X3,X23),tc_prod(X3,X23)) ),
    inference(fof_simplification,[status(thm)],[c_0_140]) ).

fof(c_0_377_378,plain,
    ! [X25,X26,X23,X3] :
      ( c_Map_Omap__add(X26,X25,X3,X23) = c_Map_Omap__add(X25,X26,X3,X23)
      | ~ c_Map_Omap__le(X26,c_Map_Omap__add(X26,X25,X3,X23),X3,X23) ),
    inference(fof_simplification,[status(thm)],[c_0_141]) ).

fof(c_0_378_379,plain,
    ! [X8,X9,X10,X11,X12] :
      ( c_WellTypeRT_OWTrt(X11,X8,X12,X9,X10)
      | ~ c_WellType_OWT(X11,X12,X9,X10) ),
    inference(fof_simplification,[status(thm)],[c_0_142]) ).

fof(c_0_379_380,plain,
    ! [X52,X20,X22,X53,X23,X3] :
      ( c_in(X20,c_Relation_OImage(X52,X53,X3,X23),X23)
      | ~ c_in(c_Pair(X22,X20,X3,X23),X52,tc_prod(X3,X23))
      | ~ c_in(X22,X53,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_143]) ).

fof(c_0_380_381,plain,
    ! [X55,X52,X20,X53,X23,X3] :
      ( c_in(X20,c_Relation_OImage(X52,X53,X23,X3),X3)
      | ~ c_in(c_Pair(X55,X20,X23,X3),X52,tc_prod(X23,X3))
      | ~ c_in(X55,X53,X23) ),
    inference(fof_simplification,[status(thm)],[c_0_144]) ).

fof(c_0_381_382,axiom,
    ! [X25,X26,X23,X3] :
      ( c_Map_Omap__add(X26,X25,X3,X23) != c_Map_Omap__add(X25,X26,X3,X23)
      | c_Map_Omap__le(X26,c_Map_Omap__add(X26,X25,X3,X23),X3,X23) ),
    c_0_145 ).

fof(c_0_382_383,plain,
    ! [X8,X25,X26,X23,X3] :
      ( c_Map_Omap__le(X25,X8,X3,X23)
      | ~ c_Map_Omap__le(c_Map_Omap__add(X26,X25,X3,X23),X8,X3,X23) ),
    inference(fof_simplification,[status(thm)],[c_0_146]) ).

fof(c_0_383_384,plain,
    ! [X64,X55,X52,X53,X3] :
      ( c_in(c_Pair(X64,X55,X3,X3),X52,tc_prod(X3,X3))
      | c_in(c_Pair(X55,X64,X3,X3),X52,tc_prod(X3,X3))
      | X55 = X64
      | ~ c_in(X64,X53,X3)
      | ~ c_in(X55,X53,X3)
      | ~ c_Relation_Ototal__on(X53,X52,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_147]) ).

fof(c_0_384_385,plain,
    ! [X20,X22,X65,X53,X23,X3] :
      ( c_in(c_Pair(X22,X20,X3,X23),c_Product__Type_OSigma(X53,X65,X3,X23),tc_prod(X3,X23))
      | ~ c_in(X20,hAPP(X65,X22),X23)
      | ~ c_in(X22,X53,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_148]) ).

fof(c_0_385_386,plain,
    ! [X20,X22,X65,X53,X23,X3] :
      ( c_in(c_Pair(X22,X20,X3,X23),c_Product__Type_OSigma(X53,X65,X3,X23),tc_prod(X3,X23))
      | ~ c_in(X20,hAPP(X65,X22),X23)
      | ~ c_in(X22,X53,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_149]) ).

fof(c_0_386_387,plain,
    ! [X52,X20,X22,X3] :
      ( c_in(X20,c_Wellfounded_Oacc(X52,X3),X3)
      | ~ c_in(c_Pair(X20,X22,X3,X3),c_Transitive__Closure_Ortrancl(X52,X3),tc_prod(X3,X3))
      | ~ c_in(X22,c_Wellfounded_Oacc(X52,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_150]) ).

fof(c_0_387_388,plain,
    ! [X52,X20,X22,X3] :
      ( c_in(X20,c_Wellfounded_Oacc(X52,X3),X3)
      | ~ c_in(X22,c_Wellfounded_Oacc(X52,X3),X3)
      | ~ c_in(c_Pair(X20,X22,X3,X3),c_Transitive__Closure_Ortrancl(X52,X3),tc_prod(X3,X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_151]) ).

fof(c_0_388_389,plain,
    ! [X14,X15,X6,X16,X11,X12] :
      ( c_WellType_OWT(X11,X12,c_Expr_Oexp_OSeq(X15,X14,tc_List_Olist(tc_String_Ochar)),X6)
      | ~ c_WellType_OWT(X11,X12,X14,X6)
      | ~ c_WellType_OWT(X11,X12,X15,X16) ),
    inference(fof_simplification,[status(thm)],[c_0_152]) ).

fof(c_0_389_390,plain,
    ! [X52,X20,X22,X3] :
      ( c_in(X22,c_Wellfounded_Oacc(X52,X3),X3)
      | ~ c_in(c_Pair(X22,X20,X3,X3),X52,tc_prod(X3,X3))
      | ~ c_in(X20,c_Wellfounded_Oacc(X52,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_153]) ).

fof(c_0_390_391,plain,
    ! [X54,X52,X22,X3] :
      ( c_in(X54,c_Wellfounded_Oacc(X52,X3),X3)
      | ~ c_in(c_Pair(X54,X22,X3,X3),X52,tc_prod(X3,X3))
      | ~ c_in(X22,c_Wellfounded_Oacc(X52,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_154]) ).

fof(c_0_391_392,plain,
    ! [X54,X55,X71,X3] :
      ( X55 = X54
      | ~ c_in(c_Pair(X55,X54,X3,X3),c_Transitive__Closure_Ortrancl(X71,X3),tc_prod(X3,X3))
      | c_in(X55,c_Relation_ODomain(X71,X3,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_155]) ).

fof(c_0_392_393,plain,
    ! [X55,X52,X22,X23,X3] :
      ( c_in(X22,c_Relation_ORange(X52,X23,X3),X3)
      | ~ c_in(c_Pair(X55,X22,X23,X3),X52,tc_prod(X23,X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_156]) ).

fof(c_0_393_394,plain,
    ! [X52,X20,X22,X23,X3] :
      ( c_in(X20,c_Relation_ORange(X52,X3,X23),X23)
      | ~ c_in(c_Pair(X22,X20,X3,X23),X52,tc_prod(X3,X23)) ),
    inference(fof_simplification,[status(thm)],[c_0_157]) ).

fof(c_0_394_395,plain,
    ! [X55,X52,X22,X23,X3] :
      ( c_in(X22,c_Relation_ODomain(X52,X3,X23),X3)
      | ~ c_in(c_Pair(X22,X55,X3,X23),X52,tc_prod(X3,X23)) ),
    inference(fof_simplification,[status(thm)],[c_0_158]) ).

fof(c_0_395_396,plain,
    ! [X52,X20,X22,X23,X3] :
      ( c_in(X22,c_Relation_ODomain(X52,X3,X23),X3)
      | ~ c_in(c_Pair(X22,X20,X3,X23),X52,tc_prod(X3,X23)) ),
    inference(fof_simplification,[status(thm)],[c_0_159]) ).

fof(c_0_396_397,plain,
    ! [X54,X55,X52,X53,X3] :
      ( c_in(X55,X53,X3)
      | ~ c_in(c_Pair(X55,X54,X3,X3),X52,tc_prod(X3,X3))
      | ~ c_Equiv__Relations_Oequiv(X53,X52,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_160]) ).

fof(c_0_397_398,plain,
    ! [X54,X55,X52,X53,X3] :
      ( c_in(X54,X53,X3)
      | ~ c_in(c_Pair(X55,X54,X3,X3),X52,tc_prod(X3,X3))
      | ~ c_Equiv__Relations_Oequiv(X53,X52,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_161]) ).

fof(c_0_398_399,plain,
    ! [X54,X55,X52,X53,X3] :
      ( c_in(X54,X53,X3)
      | ~ c_in(c_Pair(X55,X54,X3,X3),X52,tc_prod(X3,X3))
      | ~ c_Relation_Orefl__on(X53,X52,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_162]) ).

fof(c_0_399_400,plain,
    ! [X54,X55,X52,X53,X3] :
      ( c_in(X55,X53,X3)
      | ~ c_in(c_Pair(X55,X54,X3,X3),X52,tc_prod(X3,X3))
      | ~ c_Relation_Orefl__on(X53,X52,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_163]) ).

fof(c_0_400_401,plain,
    ! [X9,X10,X11,X13,X12] :
      ( c_WellType_OWT(X11,X13,X9,X10)
      | ~ c_Map_Omap__le(X12,X13,tc_List_Olist(tc_String_Ochar),tc_Type_Oty)
      | ~ c_WellType_OWT(X11,X12,X9,X10) ),
    inference(fof_simplification,[status(thm)],[c_0_164]) ).

fof(c_0_401_402,plain,
    ! [X56,X10,X57,X11,X3] :
      ( c_TypeRel_Owiden(X11,X57,X10,X3)
      | ~ c_TypeRel_Owiden(X11,X56,X10,X3)
      | ~ c_TypeRel_Owiden(X11,X57,X56,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_165]) ).

fof(c_0_402_403,plain,
    ! [X40,X41,X42,X23,X3] :
      ( c_Map_Omap__le(X42,X40,X3,X23)
      | ~ c_Map_Omap__le(X41,X40,X3,X23)
      | ~ c_Map_Omap__le(X42,X41,X3,X23) ),
    inference(fof_simplification,[status(thm)],[c_0_166]) ).

fof(c_0_403_404,plain,
    ! [X54,X55,X53,X3] :
      ( c_in(X55,X53,X3)
      | ~ c_in(c_Pair(X55,X54,X3,X3),c_Relation_OId__on(X53,X3),tc_prod(X3,X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_167]) ).

fof(c_0_404_405,plain,
    ! [X54,X55,X53,X3] :
      ( X55 = X54
      | ~ c_in(c_Pair(X55,X54,X3,X3),c_Relation_OId__on(X53,X3),tc_prod(X3,X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_168]) ).

fof(c_0_405_406,plain,
    ! [X10,X11,X46,X3] :
      ( X10 = c_Type_Oty_OClass(c_TypeRel_Osko__TypeRel__Xwiden__Class__1__1(X46,X11,X10,X3))
      | X10 = c_Type_Oty_ONT
      | ~ c_TypeRel_Owiden(X11,X10,c_Type_Oty_OClass(X46),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_169]) ).

fof(c_0_406_407,plain,
    ! [X25,X26,X23,X3] :
      ( X26 = X25
      | ~ c_Map_Omap__le(X25,X26,X3,X23)
      | ~ c_Map_Omap__le(X26,X25,X3,X23) ),
    inference(fof_simplification,[status(thm)],[c_0_170]) ).

fof(c_0_407_408,axiom,
    ! [X32,X33,X34,X35,X72,X73,X3] :
      ( c_Expr_Oexp_OCall(X73,X35,X33,X3) != c_Expr_Oexp_OCall(X72,X34,X32,X3)
      | X73 = X72 ),
    c_0_171 ).

fof(c_0_408_409,axiom,
    ! [X32,X33,X34,X35,X72,X73,X3] :
      ( c_Expr_Oexp_OCall(X73,X35,X33,X3) != c_Expr_Oexp_OCall(X72,X34,X32,X3)
      | X35 = X34 ),
    c_0_172 ).

fof(c_0_409_410,axiom,
    ! [X32,X33,X34,X35,X72,X73,X3] :
      ( c_Expr_Oexp_OCall(X73,X35,X33,X3) != c_Expr_Oexp_OCall(X72,X34,X32,X3)
      | X33 = X32 ),
    c_0_173 ).

fof(c_0_410_411,axiom,
    ! [X86,X87,X36,X37,X38,X39,X3] :
      ( c_Expr_Oexp_OCond(X39,X37,X87,X3) != c_Expr_Oexp_OCond(X38,X36,X86,X3)
      | X87 = X86 ),
    c_0_174 ).

fof(c_0_411_412,axiom,
    ! [X86,X87,X36,X37,X38,X39,X3] :
      ( c_Expr_Oexp_OCond(X39,X37,X87,X3) != c_Expr_Oexp_OCond(X38,X36,X86,X3)
      | X37 = X36 ),
    c_0_175 ).

fof(c_0_412_413,axiom,
    ! [X86,X87,X36,X37,X38,X39,X3] :
      ( c_Expr_Oexp_OCond(X39,X37,X87,X3) != c_Expr_Oexp_OCond(X38,X36,X86,X3)
      | X39 = X38 ),
    c_0_176 ).

fof(c_0_413_414,axiom,
    ! [X36,X37,X38,X39,X82,X49,X3] :
      ( c_Expr_Oexp_OBinOp(X39,X49,X37,X3) != c_Expr_Oexp_OBinOp(X38,X82,X36,X3)
      | X37 = X36 ),
    c_0_177 ).

fof(c_0_414_415,axiom,
    ! [X36,X37,X38,X39,X82,X49,X3] :
      ( c_Expr_Oexp_OBinOp(X39,X49,X37,X3) != c_Expr_Oexp_OBinOp(X38,X82,X36,X3)
      | X49 = X82 ),
    c_0_178 ).

fof(c_0_415_416,axiom,
    ! [X36,X37,X38,X39,X82,X49,X3] :
      ( c_Expr_Oexp_OBinOp(X39,X49,X37,X3) != c_Expr_Oexp_OBinOp(X38,X82,X36,X3)
      | X39 = X38 ),
    c_0_179 ).

fof(c_0_416_417,axiom,
    ! [X32,X33,X34,X35,X72,X73,X3] :
      ( c_Expr_Oexp_OFAcc(X73,X35,X33,X3) != c_Expr_Oexp_OFAcc(X72,X34,X32,X3)
      | X73 = X72 ),
    c_0_180 ).

fof(c_0_417_418,axiom,
    ! [X32,X33,X34,X35,X72,X73,X3] :
      ( c_Expr_Oexp_OFAcc(X73,X35,X33,X3) != c_Expr_Oexp_OFAcc(X72,X34,X32,X3)
      | X35 = X34 ),
    c_0_181 ).

fof(c_0_418_419,axiom,
    ! [X32,X33,X34,X35,X72,X73,X3] :
      ( c_Expr_Oexp_OFAcc(X73,X35,X33,X3) != c_Expr_Oexp_OFAcc(X72,X34,X32,X3)
      | X33 = X32 ),
    c_0_182 ).

fof(c_0_419_420,axiom,
    ! [X19,X20,X21,X22,X23,X3] :
      ( c_Pair(X22,X20,X3,X23) != c_Pair(X21,X19,X3,X23)
      | X22 = X21 ),
    c_0_183 ).

fof(c_0_420_421,axiom,
    ! [X19,X20,X21,X22,X23,X3] :
      ( c_Pair(X22,X20,X3,X23) != c_Pair(X21,X19,X3,X23)
      | X20 = X19 ),
    c_0_184 ).

fof(c_0_421_422,plain,
    ! [X83,X84,X85,X23,X3] :
      ( hAPP(c_Map_Omap__add(X85,X84,X3,X23),X83) = hAPP(X84,X83)
      | ~ c_in(X83,c_Map_Odom(X84,X3,X23),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_185]) ).

fof(c_0_422_423,axiom,
    ! [X55,X71,X3] :
      ( c_in(X55,c_Relation_ODomain(X71,X3,X3),X3)
      | c_in(c_Pair(X55,X55,X3,X3),c_Transitive__Closure_Ortrancl(X71,X3),tc_prod(X3,X3)) ),
    c_0_186 ).

fof(c_0_423_424,plain,
    ! [X55,X52,X53,X3] :
      ( c_in(c_Pair(X55,X55,X3,X3),X52,tc_prod(X3,X3))
      | ~ c_in(X55,X53,X3)
      | ~ c_Relation_Orefl__on(X53,X52,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_187]) ).

fof(c_0_424_425,plain,
    ! [X52,X22,X53,X3] :
      ( c_in(c_Pair(X22,X22,X3,X3),X52,tc_prod(X3,X3))
      | ~ c_in(X22,X53,X3)
      | ~ c_Relation_Orefl__on(X53,X52,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_188]) ).

fof(c_0_425_426,plain,
    ! [X55,X53,X3] :
      ( c_in(c_Pair(X55,X55,X3,X3),c_Relation_OId__on(X53,X3),tc_prod(X3,X3))
      | ~ c_in(X55,X53,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_189]) ).

fof(c_0_426_427,axiom,
    ! [X83,X84,X85,X23,X3] :
      ( hAPP(c_Map_Omap__add(X85,X84,X3,X23),X83) = hAPP(X84,X83)
      | c_in(X83,c_Map_Odom(X85,X3,X23),X3) ),
    c_0_190 ).

fof(c_0_427_428,axiom,
    ! [X83,X84,X85,X23,X3] :
      ( hAPP(c_Map_Omap__add(X85,X84,X3,X23),X83) = hAPP(X85,X83)
      | c_in(X83,c_Map_Odom(X84,X3,X23),X3) ),
    c_0_191 ).

fof(c_0_428_429,plain,
    ! [X25,X26,X23,X3] :
      ( c_lessequals(c_Map_Odom(X26,X3,X23),c_Map_Odom(X25,X3,X23),tc_fun(X3,tc_bool))
      | ~ c_Map_Omap__le(X26,X25,X3,X23) ),
    inference(fof_simplification,[status(thm)],[c_0_192]) ).

fof(c_0_429_430,plain,
    ! [X9,X11,X12,X46] :
      ( c_WellType_OWT(X11,X12,c_Expr_Oexp_Othrow(X9,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
      | ~ c_WellType_OWT(X11,X12,X9,c_Type_Oty_OClass(X46)) ),
    inference(fof_simplification,[status(thm)],[c_0_193]) ).

fof(c_0_430_431,plain,
    ! [X55,X96,X97,X23,X3] :
      ( hAPP(X97,X55) = hAPP(X96,X55)
      | ~ c_in(X55,c_Map_Odom(X97,X3,X23),X3)
      | ~ c_Map_Omap__le(X97,X96,X3,X23) ),
    inference(fof_simplification,[status(thm)],[c_0_194]) ).

fof(c_0_431_432,plain,
    ! [X9,X10,X11,X12,X18] :
      ( X10 = c_Type_Oty_OClass(X18)
      | ~ c_WellType_OWT(X11,X12,c_Expr_Oexp_OCast(X18,X9,tc_List_Olist(tc_String_Ochar)),X10) ),
    inference(fof_simplification,[status(thm)],[c_0_195]) ).

fof(c_0_432_433,plain,
    ! [X9,X51,X10,X11,X12] :
      ( X10 = c_Type_Oty_OVoid
      | ~ c_WellType_OWT(X11,X12,c_Expr_Oexp_OLAss(X51,X9,tc_List_Olist(tc_String_Ochar)),X10) ),
    inference(fof_simplification,[status(thm)],[c_0_196]) ).

fof(c_0_433_434,plain,
    ! [X66,X67,X11] :
      ( X67 = c_Type_Oty_ONT
      | X67 = c_Type_Oty_OClass(v_sko__TypeRel__Xwiden__Xcases__1(X11,X67,X66))
      | X66 = X67
      | ~ c_TypeRel_Owiden(X11,X67,X66,t_a) ),
    inference(fof_simplification,[status(thm)],[c_0_197]) ).

fof(c_0_434_435,plain,
    ! [X66,X67,X11] :
      ( X67 = c_Type_Oty_ONT
      | X66 = c_Type_Oty_OClass(v_sko__TypeRel__Xwiden__Xcases__2(X11,X67,X66))
      | X66 = X67
      | ~ c_TypeRel_Owiden(X11,X67,X66,t_a) ),
    inference(fof_simplification,[status(thm)],[c_0_198]) ).

fof(c_0_435_436,plain,
    ! [X9,X10,X11,X12] :
      ( X10 = c_Type_Oty_OVoid
      | ~ c_WellType_OWT(X11,X12,c_Expr_Oexp_Othrow(X9,tc_List_Olist(tc_String_Ochar)),X10) ),
    inference(fof_simplification,[status(thm)],[c_0_199]) ).

fof(c_0_436_437,plain,
    ! [X46,X65,X53,X3] :
      ( c_lessequals(X53,X46,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X65,X46,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X53,X65,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_200]) ).

fof(c_0_437_438,plain,
    ! [X55,X65,X53,X3] :
      ( c_in(X55,X65,X3)
      | ~ c_in(X55,X53,X3)
      | ~ c_lessequals(X53,X65,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_201]) ).

fof(c_0_438_439,plain,
    ! [X90,X65,X53,X3] :
      ( c_in(X90,X65,X3)
      | ~ c_in(X90,X53,X3)
      | ~ c_lessequals(X53,X65,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_202]) ).

fof(c_0_439_440,plain,
    ! [X55,X65,X53,X3] :
      ( c_in(X55,X65,X3)
      | ~ c_lessequals(X53,X65,tc_fun(X3,tc_bool))
      | ~ c_in(X55,X53,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_203]) ).

fof(c_0_440_441,plain,
    ! [X89,X65,X53,X3] :
      ( c_in(X89,X65,X3)
      | ~ c_in(X89,X53,X3)
      | ~ c_lessequals(X53,X65,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_204]) ).

fof(c_0_441_442,plain,
    ! [X65,X53,X3] :
      ( X53 = X65
      | ~ c_lessequals(X65,X53,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X53,X65,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_205]) ).

fof(c_0_442_443,plain,
    ! [X65,X53,X3] :
      ( X53 = X65
      | ~ c_lessequals(X65,X53,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X53,X65,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_206]) ).

fof(c_0_443_444,plain,
    ! [X55,X25,X26,X23,X3] :
      ( ~ class_HOL_Oord(X23)
      | c_lessequals(hAPP(X26,X55),hAPP(X25,X55),X23)
      | ~ c_lessequals(X26,X25,tc_fun(X3,X23)) ),
    inference(fof_simplification,[status(thm)],[c_0_207]) ).

fof(c_0_444_445,plain,
    ! [X91,X54,X55,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_lessequals(X91,X55,X3)
      | ~ c_lessequals(X91,X54,X3)
      | ~ c_lessequals(X54,X55,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_208]) ).

fof(c_0_445_446,plain,
    ! [X91,X54,X55,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_lessequals(X55,X91,X3)
      | ~ c_lessequals(X54,X91,X3)
      | ~ c_lessequals(X55,X54,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_209]) ).

fof(c_0_446_447,plain,
    ! [X52,X94,X3] :
      ( c_in(X94,c_Transitive__Closure_Ortrancl(X52,X3),tc_prod(X3,X3))
      | ~ c_in(X94,X52,tc_prod(X3,X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_210]) ).

fof(c_0_447_448,plain,
    ! [X55,X88,X11,X3] :
      ( hBOOL(hAPP(X88,X55))
      | ~ hBOOL(hAPP(X11,X55))
      | ~ c_lessequals(X11,X88,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_211]) ).

fof(c_0_448_449,plain,
    ! [X55,X88,X11,X3] :
      ( hBOOL(hAPP(X88,X55))
      | ~ c_lessequals(X11,X88,tc_fun(X3,tc_bool))
      | ~ hBOOL(hAPP(X11,X55)) ),
    inference(fof_simplification,[status(thm)],[c_0_212]) ).

fof(c_0_449_450,plain,
    ! [X54,X55,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | X55 = X54
      | ~ c_lessequals(X54,X55,X3)
      | ~ c_lessequals(X55,X54,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_213]) ).

fof(c_0_450_451,plain,
    ! [X54,X55,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | X55 = X54
      | ~ c_lessequals(X54,X55,X3)
      | ~ c_lessequals(X55,X54,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_214]) ).

fof(c_0_451_452,plain,
    ! [X54,X55,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | X55 = X54
      | ~ c_lessequals(X55,X54,X3)
      | ~ c_lessequals(X54,X55,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_215]) ).

fof(c_0_452_453,axiom,
    ! [X68,X69,X72,X73,X3] :
      ( c_Expr_Oexp_OCast(X69,X73,X3) != c_Expr_Oexp_OCast(X68,X72,X3)
      | X69 = X68 ),
    c_0_216 ).

fof(c_0_453_454,axiom,
    ! [X68,X69,X72,X73,X3] :
      ( c_Expr_Oexp_OCast(X69,X73,X3) != c_Expr_Oexp_OCast(X68,X72,X3)
      | X73 = X72 ),
    c_0_217 ).

fof(c_0_454_455,axiom,
    ! [X72,X73,X21,X22,X3] :
      ( c_Expr_Oexp_OLAss(X22,X73,X3) != c_Expr_Oexp_OLAss(X21,X72,X3)
      | X73 = X72 ),
    c_0_218 ).

fof(c_0_455_456,axiom,
    ! [X72,X73,X21,X22,X3] :
      ( c_Expr_Oexp_OLAss(X22,X73,X3) != c_Expr_Oexp_OLAss(X21,X72,X3)
      | X22 = X21 ),
    c_0_219 ).

fof(c_0_456_457,axiom,
    ! [X36,X37,X38,X39,X3] :
      ( c_Expr_Oexp_OSeq(X39,X37,X3) != c_Expr_Oexp_OSeq(X38,X36,X3)
      | X37 = X36 ),
    c_0_220 ).

fof(c_0_457_458,axiom,
    ! [X36,X37,X38,X39,X3] :
      ( c_Expr_Oexp_OSeq(X39,X37,X3) != c_Expr_Oexp_OSeq(X38,X36,X3)
      | X39 = X38 ),
    c_0_221 ).

fof(c_0_458_459,plain,
    ! [X52,X53,X3] :
      ( c_Relation_Orefl__on(X53,X52,X3)
      | ~ c_Equiv__Relations_Oequiv(X53,X52,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_222]) ).

fof(c_0_459_460,plain,
    ! [X54,X55,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_lessequals(X54,X55,X3)
      | c_lessequals(X55,X54,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_223]) ).

fof(c_0_460_461,plain,
    ! [X55,X57,X3] :
      ( hBOOL(hAPP(X57,X55))
      | ~ c_in(X55,X57,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_224]) ).

fof(c_0_461_462,plain,
    ! [X55,X57,X3] :
      ( c_in(X55,X57,X3)
      | ~ hBOOL(hAPP(X57,X55)) ),
    inference(fof_simplification,[status(thm)],[c_0_225]) ).

fof(c_0_462_463,plain,
    ! [X1,X2,X3] :
      ( X2 = X1
      | ~ c_fequal(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_226]) ).

fof(c_0_463_464,plain,
    ! [X55,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_lessequals(X55,X55,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_227]) ).

fof(c_0_464_465,plain,
    ! [X55,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_lessequals(X55,X55,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_228]) ).

fof(c_0_465_466,plain,
    ! [X43,X7,X8] :
      ( c_Objects_Ohext(X8,X43)
      | ~ c_Objects_Ohext(X7,X43)
      | ~ c_Objects_Ohext(X8,X7) ),
    inference(fof_simplification,[status(thm)],[c_0_229]) ).

fof(c_0_466_467,axiom,
    ! [X72,X73,X3] :
      ( c_Expr_Oexp_Othrow(X73,X3) != c_Expr_Oexp_Othrow(X72,X3)
      | X73 = X72 ),
    c_0_230 ).

fof(c_0_467_468,axiom,
    ! [X80,X81,X3] :
      ( c_Expr_Oexp_OVal(X81,X3) != c_Expr_Oexp_OVal(X80,X3)
      | X81 = X80 ),
    c_0_231 ).

fof(c_0_468_469,plain,
    ! [X4,X5] :
      ( class_Orderings_Opreorder(tc_fun(X4,X5))
      | ~ class_Orderings_Opreorder(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_232]) ).

fof(c_0_469_470,plain,
    ! [X4,X5] :
      ( class_Orderings_Oorder(tc_fun(X4,X5))
      | ~ class_Orderings_Oorder(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_233]) ).

fof(c_0_470_471,plain,
    ! [X4,X5] :
      ( class_HOL_Oord(tc_fun(X4,X5))
      | ~ class_HOL_Oord(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_234]) ).

fof(c_0_471_472,axiom,
    ! [X68,X69] :
      ( c_Type_Oty_OClass(X69) != c_Type_Oty_OClass(X68)
      | X69 = X68 ),
    c_0_235 ).

fof(c_0_472_473,plain,
    ! [X78,X79,X80,X81,X82,X83,X84,X85,X86,X87] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X83,X86,X87,X82,tc_List_Olist(tc_String_Ochar)),X81,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X84,tc_List_Olist(tc_String_Ochar)),X79,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X85),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X82,X80,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X84,tc_List_Olist(tc_String_Ochar)),X79,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X85),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X83,X81,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X78,tc_List_Olist(tc_String_Ochar)),X80,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X85),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_236])])]) ).

fof(c_0_473_474,plain,
    ! [X78,X79,X80,X81,X82,X83,X84,X85,X86] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X83,X85,X82,tc_List_Olist(tc_String_Ochar)),X81,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X84,tc_List_Olist(tc_String_Ochar)),X79,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X86),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X82,X80,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X84,tc_List_Olist(tc_String_Ochar)),X79,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X86),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X83,X81,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X78,tc_List_Olist(tc_String_Ochar)),X80,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X86),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(variable_rename,[status(thm)],[c_0_237]) ).

fof(c_0_474_475,plain,
    ! [X79,X80,X81,X82,X83,X84,X85,X86] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X85,X84,tc_List_Olist(tc_String_Ochar)),X82,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X83,X80,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X86),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X84,X81,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X83,X80,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X86),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X85,X82,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X79,tc_List_Olist(tc_String_Ochar)),X81,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X86),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(variable_rename,[status(thm)],[c_0_238]) ).

fof(c_0_475_476,plain,
    ! [X62,X63,X64,X65,X66,X67,X68,X69] :
      ( c_in(c_Pair(c_Pair(X68,c_Pair(X66,c_Map_Omap__add(X63,X64,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X67,c_Pair(X65,c_Map_Omap__add(X63,X62,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X69),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X68,c_Pair(X66,X64,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X67,c_Pair(X65,X62,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X69),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(variable_rename,[status(thm)],[c_0_239]) ).

fof(c_0_476_477,plain,
    ! [X62,X63,X64,X65,X66,X67,X68,X69] :
      ( c_in(c_Pair(c_Pair(X68,c_Pair(X66,c_Map_Omap__add(X63,X64,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X67,c_Pair(X65,c_Map_Omap__add(X63,X62,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X69),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X68,c_Pair(X66,X64,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X67,c_Pair(X65,X62,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X69),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(variable_rename,[status(thm)],[c_0_240]) ).

fof(c_0_477_478,plain,
    ! [X49,X50,X51,X52,X53,X54,X55,X56] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X49,tc_List_Olist(tc_String_Ochar)),X55,X56,X53,tc_List_Olist(tc_String_Ochar)),X51,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X49,tc_List_Olist(tc_String_Ochar)),X55,X56,X52,tc_List_Olist(tc_String_Ochar)),X50,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X54),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X53,X51,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X52,X50,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X54),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_241])])]) ).

fof(c_0_478_479,plain,
    ! [X52,X53,X54,X55,X56,X57,X58,X59] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OTryCatch(X56,X59,X57,X55,tc_List_Olist(tc_String_Ochar)),X53,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OTryCatch(X54,X59,X57,X55,tc_List_Olist(tc_String_Ochar)),X52,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X58),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X56,X53,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X54,X52,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X58),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_242])])]) ).

fof(c_0_479_480,plain,
    ! [X49,X50,X51,X52,X53,X54,X55,X56] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X53,X55,X56,X52,tc_List_Olist(tc_String_Ochar)),X50,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAss(X51,X55,X56,X52,tc_List_Olist(tc_String_Ochar)),X49,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X54),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X53,X50,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X51,X49,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X54),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_243])])]) ).

fof(c_0_480_481,plain,
    ! [X52,X53,X54,X55,X56,X57,X58,X59] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OTryCatch(X56,X59,X57,X55,tc_List_Olist(tc_String_Ochar)),X54,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X52,tc_List_Olist(tc_String_Ochar)),X53,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X58),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X56,X54,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X52,tc_List_Olist(tc_String_Ochar)),X53,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X58),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_244])])]) ).

fof(c_0_481_482,plain,
    ! [X49,X50,X51,X52,X53,X54,X55,X56] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X53,X55,X56,X52,tc_List_Olist(tc_String_Ochar)),X50,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X51,tc_List_Olist(tc_String_Ochar)),X49,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X54),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X53,X50,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X51,tc_List_Olist(tc_String_Ochar)),X49,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X54),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_245])])]) ).

fof(c_0_482_483,plain,
    ! [X50,X51,X52,X53,X54,X55,X56] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X50,tc_List_Olist(tc_String_Ochar)),X55,X54,tc_List_Olist(tc_String_Ochar)),X52,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X50,tc_List_Olist(tc_String_Ochar)),X55,X53,tc_List_Olist(tc_String_Ochar)),X51,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X56),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X54,X52,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X53,X51,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X56),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(variable_rename,[status(thm)],[c_0_246]) ).

fof(c_0_483_484,plain,
    ! [X51,X52,X53,X54,X55,X56,X57] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCall(X55,X57,X53,tc_List_Olist(tc_String_Ochar)),X52,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCall(X54,X57,X53,tc_List_Olist(tc_String_Ochar)),X51,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X56),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X55,X52,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X54,X51,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X56),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_247])])]) ).

fof(c_0_484_485,plain,
    ! [X50,X51,X52,X53,X54,X55,X56] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X54,X55,X53,tc_List_Olist(tc_String_Ochar)),X51,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OBinOp(X52,X55,X53,tc_List_Olist(tc_String_Ochar)),X50,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X56),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X54,X51,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X52,X50,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X56),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(variable_rename,[status(thm)],[c_0_248]) ).

fof(c_0_485_486,plain,
    ! [X49,X50,X51,X52,X53,X54,X55] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X54,X53,X52,tc_List_Olist(tc_String_Ochar)),X50,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCond(X51,X53,X52,tc_List_Olist(tc_String_Ochar)),X49,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X55),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X54,X50,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X51,X49,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X55),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(variable_rename,[status(thm)],[c_0_249]) ).

fof(c_0_486_487,plain,
    ! [X49,X50,X51,X52,X53,X54,X55] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAcc(X52,X54,X55,tc_List_Olist(tc_String_Ochar)),X50,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAcc(X51,X54,X55,tc_List_Olist(tc_String_Ochar)),X49,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X53),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X52,X50,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X51,X49,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X53),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_250])])]) ).

fof(c_0_487_488,plain,
    ! [X50,X51,X52,X53,X54,X55,X56] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X54,X55,X53,tc_List_Olist(tc_String_Ochar)),X51,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X52,tc_List_Olist(tc_String_Ochar)),X50,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X56),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X54,X51,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X52,tc_List_Olist(tc_String_Ochar)),X50,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X56),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(variable_rename,[status(thm)],[c_0_251]) ).

fof(c_0_488_489,plain,
    ! [X49,X50,X51,X52,X53,X54,X55] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X53,X52,X51,tc_List_Olist(tc_String_Ochar)),X50,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X54,tc_List_Olist(tc_String_Ochar)),X49,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X55),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X53,X50,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X54,tc_List_Olist(tc_String_Ochar)),X49,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X55),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(variable_rename,[status(thm)],[c_0_252]) ).

fof(c_0_489_490,plain,
    ! [X93,X94,X95,X96,X97,X98,X99] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCall(X96,X99,X95,tc_List_Olist(tc_String_Ochar)),X94,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X97,tc_List_Olist(tc_String_Ochar)),X93,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X98),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X96,X94,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X97,tc_List_Olist(tc_String_Ochar)),X93,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X98),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_253])])]) ).

fof(c_0_490_491,plain,
    ! [X49,X50,X51,X52,X53,X54,X55] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAcc(X51,X54,X55,tc_List_Olist(tc_String_Ochar)),X50,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X52,tc_List_Olist(tc_String_Ochar)),X49,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X53),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X51,X50,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X52,tc_List_Olist(tc_String_Ochar)),X49,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X53),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_254])])]) ).

fof(c_0_491_492,plain,
    ! [X49,X50,X51,X52,X53,X54] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X54,X52,tc_List_Olist(tc_String_Ochar)),X50,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCast(X54,X51,tc_List_Olist(tc_String_Ochar)),X49,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X53),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X52,X50,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X51,X49,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X53),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_255])])]) ).

fof(c_0_492_493,plain,
    ! [X52,X53,X54,X55,X56,X57] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X56,X55,tc_List_Olist(tc_String_Ochar)),X53,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OLAss(X56,X54,tc_List_Olist(tc_String_Ochar)),X52,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X57),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X55,X53,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X54,X52,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X57),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(variable_rename,[status(thm)],[c_0_256]) ).

fof(c_0_493_494,plain,
    ! [X49,X50,X51,X52,X53,X54] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X53,X52,tc_List_Olist(tc_String_Ochar)),X50,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OSeq(X51,X52,tc_List_Olist(tc_String_Ochar)),X49,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X54),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X53,X50,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X51,X49,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X54),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(variable_rename,[status(thm)],[c_0_257]) ).

fof(c_0_494_495,plain,
    ! [X52,X53,X54,X55,X56,X57] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X56,X54,tc_List_Olist(tc_String_Ochar)),X53,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X55,tc_List_Olist(tc_String_Ochar)),X52,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X57),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X54,X53,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X55,tc_List_Olist(tc_String_Ochar)),X52,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X57),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(variable_rename,[status(thm)],[c_0_258]) ).

fof(c_0_495_496,plain,
    ! [X49,X50,X51,X52,X53,X54] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X54,X51,tc_List_Olist(tc_String_Ochar)),X50,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X52,tc_List_Olist(tc_String_Ochar)),X49,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X53),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X51,X50,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X52,tc_List_Olist(tc_String_Ochar)),X49,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X53),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_259])])]) ).

fof(c_0_496_497,plain,
    ! [X49,X50,X51,X52,X53,X54] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X53,X52,tc_List_Olist(tc_String_Ochar)),X50,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X51,tc_List_Olist(tc_String_Ochar)),X49,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X54),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X53,X50,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X51,tc_List_Olist(tc_String_Ochar)),X49,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X54),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(variable_rename,[status(thm)],[c_0_260]) ).

fof(c_0_497_498,plain,
    ! [X49,X50,X51,X52,X53] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_Othrow(X51,tc_List_Olist(tc_String_Ochar)),X50,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X52,tc_List_Olist(tc_String_Ochar)),X49,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X53),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X51,X50,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X52,tc_List_Olist(tc_String_Ochar)),X49,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X53),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(variable_rename,[status(thm)],[c_0_261]) ).

fof(c_0_498_499,plain,
    ! [X49,X50,X51,X52,X53] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_Othrow(X52,tc_List_Olist(tc_String_Ochar)),X50,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X51,tc_List_Olist(tc_String_Ochar)),X49,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X53),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X52,X50,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X51,X49,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X53),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(variable_rename,[status(thm)],[c_0_262]) ).

fof(c_0_499_500,plain,
    ! [X49,X50,X51,X52,X53,X54,X55,X56] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X49,tc_List_Olist(tc_String_Ochar)),X55,X56,X53,tc_List_Olist(tc_String_Ochar)),X51,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X49,tc_List_Olist(tc_String_Ochar)),X55,X56,X52,tc_List_Olist(tc_String_Ochar)),X50,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X54),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X53,X51,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X52,X50,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X54),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_263])])]) ).

fof(c_0_500_501,plain,
    ! [X52,X53,X54,X55,X56,X57,X58,X59] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OTryCatch(X56,X59,X57,X55,tc_List_Olist(tc_String_Ochar)),X53,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OTryCatch(X54,X59,X57,X55,tc_List_Olist(tc_String_Ochar)),X52,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X58),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X56,X53,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X54,X52,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X58),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_264])])]) ).

fof(c_0_501_502,plain,
    ! [X49,X50,X51,X52,X53,X54,X55,X56] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X53,X55,X56,X52,tc_List_Olist(tc_String_Ochar)),X50,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAss(X51,X55,X56,X52,tc_List_Olist(tc_String_Ochar)),X49,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X54),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X53,X50,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X51,X49,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X54),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_265])])]) ).

fof(c_0_502_503,plain,
    ! [X75,X76,X77,X78,X79,X80,X81] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X75,tc_List_Olist(tc_String_Ochar)),X80,X79,tc_List_Olist(tc_String_Ochar)),X77,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X75,tc_List_Olist(tc_String_Ochar)),X80,X78,tc_List_Olist(tc_String_Ochar)),X76,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X81),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X79,X77,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X78,X76,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X81),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(variable_rename,[status(thm)],[c_0_266]) ).

fof(c_0_503_504,plain,
    ! [X49,X50,X51,X52,X53,X54,X55] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X54,X53,X52,tc_List_Olist(tc_String_Ochar)),X50,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCond(X51,X53,X52,tc_List_Olist(tc_String_Ochar)),X49,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X55),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X54,X50,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X51,X49,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X55),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(variable_rename,[status(thm)],[c_0_267]) ).

fof(c_0_504_505,plain,
    ! [X49,X50,X51,X52,X53,X54,X55] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAcc(X52,X54,X55,tc_List_Olist(tc_String_Ochar)),X50,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAcc(X51,X54,X55,tc_List_Olist(tc_String_Ochar)),X49,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X53),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X52,X50,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X51,X49,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X53),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_268])])]) ).

fof(c_0_505_506,plain,
    ! [X51,X52,X53,X54,X55,X56,X57] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCall(X55,X57,X53,tc_List_Olist(tc_String_Ochar)),X52,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCall(X54,X57,X53,tc_List_Olist(tc_String_Ochar)),X51,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X56),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X55,X52,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X54,X51,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X56),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_269])])]) ).

fof(c_0_506_507,plain,
    ! [X50,X51,X52,X53,X54,X55,X56] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X54,X55,X53,tc_List_Olist(tc_String_Ochar)),X51,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OBinOp(X52,X55,X53,tc_List_Olist(tc_String_Ochar)),X50,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X56),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X54,X51,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X52,X50,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X56),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(variable_rename,[status(thm)],[c_0_270]) ).

fof(c_0_507_508,plain,
    ! [X49,X50,X51,X52,X53,X54] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X54,X52,tc_List_Olist(tc_String_Ochar)),X50,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCast(X54,X51,tc_List_Olist(tc_String_Ochar)),X49,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X53),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X52,X50,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X51,X49,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X53),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_271])])]) ).

fof(c_0_508_509,plain,
    ! [X49,X50,X51,X52,X53,X54] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X53,X52,tc_List_Olist(tc_String_Ochar)),X50,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OSeq(X51,X52,tc_List_Olist(tc_String_Ochar)),X49,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X54),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X53,X50,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X51,X49,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X54),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(variable_rename,[status(thm)],[c_0_272]) ).

fof(c_0_509_510,plain,
    ! [X52,X53,X54,X55,X56,X57] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X56,X55,tc_List_Olist(tc_String_Ochar)),X53,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OLAss(X56,X54,tc_List_Olist(tc_String_Ochar)),X52,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X57),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X55,X53,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X54,X52,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X57),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(variable_rename,[status(thm)],[c_0_273]) ).

fof(c_0_510_511,plain,
    ! [X49,X50,X51,X52,X53] :
      ( c_in(c_Pair(c_Pair(c_Expr_Oexp_Othrow(X52,tc_List_Olist(tc_String_Ochar)),X50,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X51,tc_List_Olist(tc_String_Ochar)),X49,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X53),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_in(c_Pair(c_Pair(X52,X50,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X51,X49,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X53),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(variable_rename,[status(thm)],[c_0_274]) ).

fof(c_0_511_512,plain,
    ! [X25,X26,X27,X28,X29,X30,X31,X32] :
      ( c_WellTypeRT_OWTrt(X29,X26,X31,X25,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(X31,X29,X26,X25))
      | c_TypeRel_Ohas__field(X29,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X32,X31,X30,X29,X27,X26,X25),X30,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X32,X31,X30,X29,X27,X26,X25),X32,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(X29,X26,X31,c_Expr_Oexp_OFAss(X27,X30,X32,X25,tc_List_Olist(tc_String_Ochar)),X28) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_275])])]) ).

fof(c_0_512_513,plain,
    ! [X25,X26,X27,X28,X29,X30,X31,X32] :
      ( c_WellTypeRT_OWTrt(X29,X26,X31,X27,c_Type_Oty_ONT)
      | c_TypeRel_Ohas__field(X29,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X32,X31,X30,X29,X27,X26,X25),X30,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X32,X31,X30,X29,X27,X26,X25),X32,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(X29,X26,X31,c_Expr_Oexp_OFAss(X27,X30,X32,X25,tc_List_Olist(tc_String_Ochar)),X28) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_276])])]) ).

fof(c_0_513_514,plain,
    ! [X25,X26,X27,X28,X29,X30,X31,X32] :
      ( X28 = c_Type_Oty_OVoid
      | c_TypeRel_Ohas__field(X29,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X32,X31,X30,X29,X27,X26,X25),X30,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X32,X31,X30,X29,X27,X26,X25),X32,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(X29,X26,X31,c_Expr_Oexp_OFAss(X27,X30,X32,X25,tc_List_Olist(tc_String_Ochar)),X28) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_277])])]) ).

fof(c_0_514_515,plain,
    ! [X25,X26,X27,X28,X29,X30,X31,X32] :
      ( c_WellTypeRT_OWTrt(X29,X26,X31,X25,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(X31,X29,X26,X25))
      | c_WellTypeRT_OWTrt(X29,X26,X31,X27,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X32,X31,X30,X29,X27,X26,X25)))
      | ~ c_WellTypeRT_OWTrt(X29,X26,X31,c_Expr_Oexp_OFAss(X27,X30,X32,X25,tc_List_Olist(tc_String_Ochar)),X28) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_278])])]) ).

fof(c_0_515_516,plain,
    ! [X25,X26,X27,X28,X29,X30,X31,X32] :
      ( c_WellTypeRT_OWTrt(X29,X26,X31,X27,c_Type_Oty_ONT)
      | c_WellTypeRT_OWTrt(X29,X26,X31,X27,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X32,X31,X30,X29,X27,X26,X25)))
      | ~ c_WellTypeRT_OWTrt(X29,X26,X31,c_Expr_Oexp_OFAss(X27,X30,X32,X25,tc_List_Olist(tc_String_Ochar)),X28) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_279])])]) ).

fof(c_0_516_517,plain,
    ! [X25,X26,X27,X28,X29,X30,X31,X32] :
      ( c_WellTypeRT_OWTrt(X29,X26,X31,X25,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(X31,X29,X26,X25))
      | c_TypeRel_Owiden(X29,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X32,X31,X30,X29,X27,X26,X25),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X32,X31,X30,X29,X27,X26,X25),tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(X29,X26,X31,c_Expr_Oexp_OFAss(X27,X30,X32,X25,tc_List_Olist(tc_String_Ochar)),X28) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_280])])]) ).

fof(c_0_517_518,plain,
    ! [X25,X26,X27,X28,X29,X30,X31,X32] :
      ( c_WellTypeRT_OWTrt(X29,X26,X31,X27,c_Type_Oty_ONT)
      | c_TypeRel_Owiden(X29,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X32,X31,X30,X29,X27,X26,X25),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X32,X31,X30,X29,X27,X26,X25),tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(X29,X26,X31,c_Expr_Oexp_OFAss(X27,X30,X32,X25,tc_List_Olist(tc_String_Ochar)),X28) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_281])])]) ).

fof(c_0_518_519,plain,
    ! [X25,X26,X27,X28,X29,X30,X31,X32] :
      ( X28 = c_Type_Oty_OVoid
      | c_WellTypeRT_OWTrt(X29,X26,X31,X27,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X32,X31,X30,X29,X27,X26,X25)))
      | ~ c_WellTypeRT_OWTrt(X29,X26,X31,c_Expr_Oexp_OFAss(X27,X30,X32,X25,tc_List_Olist(tc_String_Ochar)),X28) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_282])])]) ).

fof(c_0_519_520,plain,
    ! [X25,X26,X27,X28,X29,X30,X31,X32] :
      ( X28 = c_Type_Oty_OVoid
      | c_TypeRel_Owiden(X29,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X32,X31,X30,X29,X27,X26,X25),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X32,X31,X30,X29,X27,X26,X25),tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(X29,X26,X31,c_Expr_Oexp_OFAss(X27,X30,X32,X25,tc_List_Olist(tc_String_Ochar)),X28) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_283])])]) ).

fof(c_0_520_521,plain,
    ! [X32,X33,X34,X35,X36,X37,X38,X39,X40] :
      ( c_Conform_Olconf(X39,X34,X32,X40,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_Conform_Olconf(X39,X35,X33,X40,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(X39,X35,X40,X37,X38)
      | ~ c_in(c_Pair(c_Pair(X37,c_Pair(X35,X33,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X36,c_Pair(X34,X32,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X39),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(variable_rename,[status(thm)],[c_0_284]) ).

fof(c_0_521_522,plain,
    ! [X19,X20,X21,X22,X23,X24,X25] :
      ( c_WellTypeRT_OWTrt(X22,X19,X24,X20,c_Type_Oty_ONT)
      | c_WellTypeRT_OWTrt(X22,X19,X24,X20,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1(X25,X24,X23,X22,X21,X20,X19)))
      | ~ c_WellTypeRT_OWTrt(X22,X19,X24,c_Expr_Oexp_OFAcc(X20,X23,X25,tc_List_Olist(tc_String_Ochar)),X21) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_285])])]) ).

fof(c_0_522_523,plain,
    ! [X32,X33,X34,X35,X36,X37,X38,X39,X40] :
      ( c_Conform_Ohconf(X39,X34,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_Conform_Ohconf(X39,X35,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(X39,X35,X40,X37,X38)
      | ~ c_in(c_Pair(c_Pair(X37,c_Pair(X35,X33,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X36,c_Pair(X34,X32,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X39),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_286])])]) ).

fof(c_0_523_524,plain,
    ! [X64,X65,X66,X67,X68,X69,X70] :
      ( c_lessequals(c_Map_Odom(X65,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Map_Odom(X64,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
      | ~ c_in(c_Pair(c_Pair(X69,c_Pair(X67,X65,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X68,c_Pair(X66,X64,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X70),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_287])])]) ).

fof(c_0_524_525,plain,
    ! [X32,X33,X34,X35,X36,X37,X38] :
      ( c_Objects_Ohext(X35,X34)
      | ~ c_in(c_Pair(c_Pair(X37,c_Pair(X35,X33,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X36,c_Pair(X34,X32,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X38),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_288])])]) ).

fof(c_0_525_526,plain,
    ! [X60,X61,X62,X63,X64,X65,X66] :
      ( c_BigStep_Oeval(X66,X65,X62,X64,X61)
      | ~ c_BigStep_Oeval(X66,X63,X60,X64,X61)
      | ~ c_in(c_Pair(c_Pair(X65,X62,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X63,X60,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X66),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X66,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    inference(variable_rename,[status(thm)],[c_0_289]) ).

fof(c_0_526_527,plain,
    ! [X60,X61,X62,X63,X64,X65,X66] :
      ( c_BigStep_Oeval(X66,X65,X62,X64,X61)
      | ~ c_BigStep_Oeval(X66,X63,X60,X64,X61)
      | ~ c_in(c_Pair(c_Pair(X65,X62,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X63,X60,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X66),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X66,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    inference(variable_rename,[status(thm)],[c_0_290]) ).

fof(c_0_527_528,plain,
    ! [X49,X50,X51,X52,X53,X54,X55] :
      ( c_TypeSafe__Mirabelle_Osconf(X54,X55,X49)
      | ~ c_TypeSafe__Mirabelle_Osconf(X54,X55,X50)
      | ~ c_WellTypeRT_OWTrt(X54,c_State_Ohp(X50),X55,X52,X53)
      | ~ c_in(c_Pair(c_Pair(X52,X50,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X51,X49,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X54),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(variable_rename,[status(thm)],[c_0_291]) ).

fof(c_0_528_529,plain,
    ! [X19,X20,X21,X22,X23,X24,X25] :
      ( c_WellTypeRT_OWTrt(X22,X19,X24,X20,c_Type_Oty_ONT)
      | c_TypeRel_Ohas__field(X22,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1(X25,X24,X23,X22,X21,X20,X19),X23,X21,X25,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(X22,X19,X24,c_Expr_Oexp_OFAcc(X20,X23,X25,tc_List_Olist(tc_String_Ochar)),X21) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_292])])]) ).

fof(c_0_529_530,plain,
    ! [X25,X26,X27,X28,X29,X30,X31,X32] :
      ( c_WellTypeRT_OWTrt(X29,X26,X31,X25,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(X31,X29,X26,X25))
      | c_WellTypeRT_OWTrt(X29,X26,X31,X25,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X32,X31,X30,X29,X27,X26,X25))
      | ~ c_WellTypeRT_OWTrt(X29,X26,X31,c_Expr_Oexp_OFAss(X27,X30,X32,X25,tc_List_Olist(tc_String_Ochar)),X28) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_293])])]) ).

fof(c_0_530_531,plain,
    ! [X25,X26,X27,X28,X29,X30,X31,X32] :
      ( c_WellTypeRT_OWTrt(X29,X26,X31,X27,c_Type_Oty_ONT)
      | c_WellTypeRT_OWTrt(X29,X26,X31,X25,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X32,X31,X30,X29,X27,X26,X25))
      | ~ c_WellTypeRT_OWTrt(X29,X26,X31,c_Expr_Oexp_OFAss(X27,X30,X32,X25,tc_List_Olist(tc_String_Ochar)),X28) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_294])])]) ).

fof(c_0_531_532,plain,
    ! [X25,X26,X27,X28,X29,X30,X31,X32] :
      ( X28 = c_Type_Oty_OVoid
      | c_WellTypeRT_OWTrt(X29,X26,X31,X25,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X32,X31,X30,X29,X27,X26,X25))
      | ~ c_WellTypeRT_OWTrt(X29,X26,X31,c_Expr_Oexp_OFAss(X27,X30,X32,X25,tc_List_Olist(tc_String_Ochar)),X28) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_295])])]) ).

fof(c_0_532_533,plain,
    ! [X49,X50,X51,X52,X53] :
      ( c_in(c_Pair(c_Pair(X52,X50,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X51,X49,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X53),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
      | ~ c_BigStep_Oeval(X53,X52,X50,X51,X49)
      | ~ c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X53,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    inference(variable_rename,[status(thm)],[c_0_296]) ).

fof(c_0_533_534,plain,
    ! [X25,X26,X27,X28,X29,X30,X31] :
      ( c_TypeRel_Osees__field(X28,c_WellType_Osko__WellType__XWT__elim__cases__8__1(X31,X30,X29,X28,X26,X25),X29,c_WellType_Osko__WellType__XWT__elim__cases__8__2(X31,X30,X29,X28,X26,X25),X31,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellType_OWT(X28,X30,c_Expr_Oexp_OFAss(X26,X29,X31,X25,tc_List_Olist(tc_String_Ochar)),X27) ),
    inference(variable_rename,[status(thm)],[c_0_297]) ).

fof(c_0_534_535,plain,
    ! [X25,X26,X27,X28,X29,X30,X31] :
      ( c_TypeRel_Owiden(X28,c_WellType_Osko__WellType__XWT__elim__cases__8__3(X31,X30,X29,X28,X26,X25),c_WellType_Osko__WellType__XWT__elim__cases__8__2(X31,X30,X29,X28,X26,X25),tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellType_OWT(X28,X30,c_Expr_Oexp_OFAss(X26,X29,X31,X25,tc_List_Olist(tc_String_Ochar)),X27) ),
    inference(variable_rename,[status(thm)],[c_0_298]) ).

fof(c_0_535_536,plain,
    ! [X25,X26,X27,X28,X29,X30,X31] :
      ( c_WellType_OWT(X28,X30,X26,c_Type_Oty_OClass(c_WellType_Osko__WellType__XWT__elim__cases__8__1(X31,X30,X29,X28,X26,X25)))
      | ~ c_WellType_OWT(X28,X30,c_Expr_Oexp_OFAss(X26,X29,X31,X25,tc_List_Olist(tc_String_Ochar)),X27) ),
    inference(variable_rename,[status(thm)],[c_0_299]) ).

fof(c_0_536_537,plain,
    ! [X23,X24,X25,X26,X27,X28] :
      ( c_WellType_OWT(X25,X27,X23,c_Type_Oty_OClass(c_WellType_Osko__WellType__XWT__elim__cases__7__1(X28,X27,X26,X25,X24,X23)))
      | ~ c_WellType_OWT(X25,X27,c_Expr_Oexp_OFAcc(X23,X26,X28,tc_List_Olist(tc_String_Ochar)),X24) ),
    inference(variable_rename,[status(thm)],[c_0_300]) ).

fof(c_0_537_538,plain,
    ! [X23,X24,X25,X26,X27,X28] :
      ( c_TypeRel_Osees__field(X25,c_WellType_Osko__WellType__XWT__elim__cases__7__1(X28,X27,X26,X25,X24,X23),X26,X24,X28,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellType_OWT(X25,X27,c_Expr_Oexp_OFAcc(X23,X26,X28,tc_List_Olist(tc_String_Ochar)),X24) ),
    inference(variable_rename,[status(thm)],[c_0_301]) ).

fof(c_0_538_539,plain,
    ! [X96,X97,X98,X99,X100,X101,X102,X103] :
      ( X96 = X97
      | ~ c_TypeRel_Osees__field(X98,X102,X99,X96,X100,X103)
      | ~ c_TypeRel_Osees__field(X98,X102,X99,X97,X101,X103) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_302])])]) ).

fof(c_0_539_540,plain,
    ! [X96,X97,X98,X99,X100,X101,X102,X103] :
      ( X100 = X101
      | ~ c_TypeRel_Osees__field(X98,X102,X99,X96,X100,X103)
      | ~ c_TypeRel_Osees__field(X98,X102,X99,X97,X101,X103) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_303])])]) ).

fof(c_0_540_541,plain,
    ! [X47,X48,X49,X50,X51,X52,X53,X54,X55,X56] :
      ( c_WellTypeRT_OWTrt(X52,X47,X54,c_Expr_Oexp_OFAss(X49,X53,X55,X48,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
      | ~ c_TypeRel_Owiden(X52,X50,X51,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(X52,X47,X54,X48,X50)
      | ~ c_TypeRel_Ohas__field(X52,X56,X53,X51,X55,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(X52,X47,X54,X49,c_Type_Oty_OClass(X56)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_304])])]) ).

fof(c_0_541_542,plain,
    ! [X47,X48,X49,X50,X51,X52,X53,X54,X55,X56] :
      ( c_Progress_OWTrt_H(X52,X47,X54,c_Expr_Oexp_OFAss(X49,X53,X55,X48,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
      | ~ c_TypeRel_Owiden(X52,X50,X51,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_Progress_OWTrt_H(X52,X47,X54,X48,X50)
      | ~ c_TypeRel_Ohas__field(X52,X56,X53,X51,X55,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_Progress_OWTrt_H(X52,X47,X54,X49,c_Type_Oty_OClass(X56)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_305])])]) ).

fof(c_0_542_543,plain,
    ! [X25,X26,X27,X28,X29,X30,X31] :
      ( c_WellType_OWT(X28,X30,X25,c_WellType_Osko__WellType__XWT__elim__cases__8__3(X31,X30,X29,X28,X26,X25))
      | ~ c_WellType_OWT(X28,X30,c_Expr_Oexp_OFAss(X26,X29,X31,X25,tc_List_Olist(tc_String_Ochar)),X27) ),
    inference(variable_rename,[status(thm)],[c_0_306]) ).

fof(c_0_543_544,plain,
    ! [X47,X48,X49,X50,X51,X52] :
      ( c_TypeRel_Ohas__field(X48,X51,X49,X47,X50,X52)
      | ~ c_TypeRel_Osees__field(X48,X51,X49,X47,X50,X52) ),
    inference(variable_rename,[status(thm)],[c_0_307]) ).

fof(c_0_544_545,plain,
    ! [X47,X48,X49,X50,X51,X52] :
      ( c_TypeRel_Osees__field(X48,X50,X49,X47,X50,X52)
      | ~ c_TypeRel_Osees__field(X48,X51,X49,X47,X50,X52) ),
    inference(variable_rename,[status(thm)],[c_0_308]) ).

fof(c_0_545_546,plain,
    ! [X80,X81,X82,X83,X84,X85,X86,X87,X88] :
      ( c_WellType_OWT(X84,X86,c_Expr_Oexp_OFAss(X81,X85,X87,X80,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
      | ~ c_TypeRel_Owiden(X84,X82,X83,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellType_OWT(X84,X86,X80,X82)
      | ~ c_TypeRel_Osees__field(X84,X88,X85,X83,X87,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellType_OWT(X84,X86,X81,c_Type_Oty_OClass(X88)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_309])])]) ).

fof(c_0_546_547,plain,
    ! [X47,X48,X49,X50,X51,X52,X53,X54] :
      ( c_Progress_OWTrt_H(X50,X47,X52,c_Expr_Oexp_OFAcc(X48,X51,X53,tc_List_Olist(tc_String_Ochar)),X49)
      | ~ c_TypeRel_Ohas__field(X50,X54,X51,X49,X53,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_Progress_OWTrt_H(X50,X47,X52,X48,c_Type_Oty_OClass(X54)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_310])])]) ).

fof(c_0_547_548,plain,
    ! [X47,X48,X49,X50,X51,X52,X53,X54] :
      ( c_WellTypeRT_OWTrt(X50,X47,X52,c_Expr_Oexp_OFAcc(X48,X51,X53,tc_List_Olist(tc_String_Ochar)),X49)
      | ~ c_TypeRel_Ohas__field(X50,X54,X51,X49,X53,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(X50,X47,X52,X48,c_Type_Oty_OClass(X54)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_311])])]) ).

fof(c_0_548_549,plain,
    ! [X47,X48,X49,X50,X51,X52,X53] :
      ( c_WellType_OWT(X49,X51,c_Expr_Oexp_OFAcc(X47,X50,X52,tc_List_Olist(tc_String_Ochar)),X48)
      | ~ c_TypeRel_Osees__field(X49,X53,X50,X48,X52,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellType_OWT(X49,X51,X47,c_Type_Oty_OClass(X53)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_312])])]) ).

fof(c_0_549_550,plain,
    ! [X64,X65,X66,X67,X68,X69,X70] :
      ( c_lessequals(c_Map_Odom(X65,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Map_Odom(X64,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
      | ~ c_BigStep_Oevals(X70,X69,c_Pair(X67,X65,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),X68,c_Pair(X66,X64,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_313])])]) ).

fof(c_0_550_551,plain,
    ! [X64,X65,X66,X67,X68,X69,X70] :
      ( c_lessequals(c_Map_Odom(X65,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Map_Odom(X64,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
      | ~ c_BigStep_Oeval(X70,X69,c_Pair(X67,X65,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),X68,c_Pair(X66,X64,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_314])])]) ).

fof(c_0_551_552,plain,
    ! [X46,X47,X48,X49,X50,X51,X52] :
      ( c_Objects_Ohext(X49,X48)
      | ~ c_BigStep_Oevals(X52,X51,c_Pair(X49,X47,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),X50,c_Pair(X48,X46,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_315])])]) ).

fof(c_0_552_553,plain,
    ! [X32,X33,X34,X35,X36,X37,X38] :
      ( c_Objects_Ohext(X35,X34)
      | ~ c_BigStep_Oeval(X38,X37,c_Pair(X35,X33,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),X36,c_Pair(X34,X32,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_316])])]) ).

fof(c_0_553_554,plain,
    ! [X13,X14] :
      ( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,X14,v_e_Ha____,v_sko__local__XFAssRed1__Xhyps__2__1(X14,v_P,X13,v_e_Ha____,v_h_Ha____))
      | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X14,v_ea____,X13)
      | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X14,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
    inference(variable_rename,[status(thm)],[c_0_317]) ).

fof(c_0_554_555,plain,
    ! [X13,X14] :
      ( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,X14,v_e_Ha____,v_sko__local__XFAssRed1__2__1(X14,v_P,X13,v_e_Ha____,v_h_Ha____))
      | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X14,v_ea____,X13)
      | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X14,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
    inference(variable_rename,[status(thm)],[c_0_318]) ).

fof(c_0_555_556,plain,
    ! [X29,X30] :
      ( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,X30,v_e_Ha____,v_sko__local__XIH__1(X30,v_P,X29,v_e_Ha____,v_h_Ha____))
      | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X30,v_ea____,X29)
      | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X30,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
    inference(variable_rename,[status(thm)],[c_0_319]) ).

fof(c_0_556_557,plain,
    ! [X29,X30] :
      ( c_TypeRel_Owiden(v_P,v_sko__local__XIH__1(X30,v_P,X29,v_e_Ha____,v_h_Ha____),X29,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X30,v_ea____,X29)
      | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X30,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
    inference(variable_rename,[status(thm)],[c_0_320]) ).

fof(c_0_557_558,plain,
    ! [X13,X14] :
      ( c_TypeRel_Owiden(v_P,v_sko__local__XFAssRed1__Xhyps__2__1(X14,v_P,X13,v_e_Ha____,v_h_Ha____),X13,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X14,v_ea____,X13)
      | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X14,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
    inference(variable_rename,[status(thm)],[c_0_321]) ).

fof(c_0_558_559,plain,
    ! [X13,X14] :
      ( c_TypeRel_Owiden(v_P,v_sko__local__XFAssRed1__2__1(X14,v_P,X13,v_e_Ha____,v_h_Ha____),X13,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
      | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X14,v_ea____,X13)
      | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X14,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
    inference(variable_rename,[status(thm)],[c_0_322]) ).

fof(c_0_559_560,plain,
    ! [X78,X79,X80,X81,X82,X83,X84,X85,X86,X87] :
      ( c_BigStep_Oeval(X85,c_Expr_Oexp_OFAss(X84,X86,X87,X83,tc_List_Olist(tc_String_Ochar)),X81,c_Expr_Oexp_Othrow(X82,tc_List_Olist(tc_String_Ochar)),X79)
      | ~ c_BigStep_Oeval(X85,X83,X80,c_Expr_Oexp_Othrow(X82,tc_List_Olist(tc_String_Ochar)),X79)
      | ~ c_BigStep_Oeval(X85,X84,X81,c_Expr_Oexp_OVal(X78,tc_List_Olist(tc_String_Ochar)),X80) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_323])])]) ).

fof(c_0_560_561,plain,
    ! [X19,X20,X21,X22,X23,X24,X25,X26] :
      ( c_Progress_OWTrt_H(X23,X19,X25,c_Expr_Oexp_OFAss(X21,X24,X26,X20,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
      | ~ c_Progress_OWTrt_H(X23,X19,X25,X20,X22)
      | ~ c_Progress_OWTrt_H(X23,X19,X25,X21,c_Type_Oty_ONT) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_324])])]) ).

fof(c_0_561_562,plain,
    ! [X19,X20,X21,X22,X23,X24,X25,X26] :
      ( c_WellTypeRT_OWTrt(X23,X19,X25,c_Expr_Oexp_OFAss(X21,X24,X26,X20,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
      | ~ c_WellTypeRT_OWTrt(X23,X19,X25,X20,X22)
      | ~ c_WellTypeRT_OWTrt(X23,X19,X25,X21,c_Type_Oty_ONT) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_325])])]) ).

fof(c_0_562_563,plain,
    ! [X25,X26,X27,X28,X29,X30,X31,X32] :
      ( c_WellTypeRT_OWTrt(X29,X26,X31,X25,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(X31,X29,X26,X25))
      | X28 = c_Type_Oty_OVoid
      | ~ c_WellTypeRT_OWTrt(X29,X26,X31,c_Expr_Oexp_OFAss(X27,X30,X32,X25,tc_List_Olist(tc_String_Ochar)),X28) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_326])])]) ).

fof(c_0_563_564,plain,
    ! [X25,X26,X27,X28,X29,X30,X31,X32] :
      ( c_WellTypeRT_OWTrt(X29,X26,X31,X27,c_Type_Oty_ONT)
      | X28 = c_Type_Oty_OVoid
      | ~ c_WellTypeRT_OWTrt(X29,X26,X31,c_Expr_Oexp_OFAss(X27,X30,X32,X25,tc_List_Olist(tc_String_Ochar)),X28) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_327])])]) ).

fof(c_0_564_565,plain,
    ! [X53,X54,X55,X56,X57,X58,X59,X60] :
      ( c_in(c_Pair(X56,X55,X59,X59),X53,tc_prod(X59,X59))
      | c_in(c_Pair(X58,X57,X60,X60),X54,tc_prod(X60,X60))
      | ~ c_in(c_Pair(c_Pair(X58,X56,X60,X59),c_Pair(X57,X55,X60,X59),tc_prod(X60,X59),tc_prod(X60,X59)),c_Wellfounded_Olex__prod(X54,X53,X60,X59),tc_prod(tc_prod(X60,X59),tc_prod(X60,X59))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_328])])]) ).

fof(c_0_565_566,plain,
    ! [X25,X26,X27,X28,X29,X30,X31,X32] :
      ( X28 = c_Type_Oty_OVoid
      | X28 = c_Type_Oty_OVoid
      | ~ c_WellTypeRT_OWTrt(X29,X26,X31,c_Expr_Oexp_OFAss(X27,X30,X32,X25,tc_List_Olist(tc_String_Ochar)),X28) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_329])])]) ).

fof(c_0_566_567,plain,
    ! [X53,X54,X55,X56,X57,X58,X59,X60] :
      ( X58 = X57
      | c_in(c_Pair(X58,X57,X60,X60),X54,tc_prod(X60,X60))
      | ~ c_in(c_Pair(c_Pair(X58,X56,X60,X59),c_Pair(X57,X55,X60,X59),tc_prod(X60,X59),tc_prod(X60,X59)),c_Wellfounded_Olex__prod(X54,X53,X60,X59),tc_prod(tc_prod(X60,X59),tc_prod(X60,X59))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_330])])]) ).

fof(c_0_567_568,plain,
    ! [X78,X79,X80,X81,X82,X83,X84,X85,X86] :
      ( c_BigStep_Oeval(X86,c_Expr_Oexp_OBinOp(X83,X85,X82,tc_List_Olist(tc_String_Ochar)),X81,c_Expr_Oexp_Othrow(X84,tc_List_Olist(tc_String_Ochar)),X79)
      | ~ c_BigStep_Oeval(X86,X82,X80,c_Expr_Oexp_Othrow(X84,tc_List_Olist(tc_String_Ochar)),X79)
      | ~ c_BigStep_Oeval(X86,X83,X81,c_Expr_Oexp_OVal(X78,tc_List_Olist(tc_String_Ochar)),X80) ),
    inference(variable_rename,[status(thm)],[c_0_331]) ).

fof(c_0_568_569,plain,
    ! [X78,X79,X80,X81,X82,X83,X84,X85] :
      ( c_BigStep_Oeval(X84,c_Expr_Oexp_OTryCatch(X82,X85,X83,X81,tc_List_Olist(tc_String_Ochar)),X80,c_Expr_Oexp_OVal(X78,tc_List_Olist(tc_String_Ochar)),X79)
      | ~ c_BigStep_Oeval(X84,X82,X80,c_Expr_Oexp_OVal(X78,tc_List_Olist(tc_String_Ochar)),X79) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_332])])]) ).

fof(c_0_569_570,plain,
    ! [X78,X79,X80,X81,X82,X83,X84,X85] :
      ( c_BigStep_Oeval(X83,c_Expr_Oexp_OFAss(X82,X84,X85,X81,tc_List_Olist(tc_String_Ochar)),X79,c_Expr_Oexp_Othrow(X80,tc_List_Olist(tc_String_Ochar)),X78)
      | ~ c_BigStep_Oeval(X83,X82,X79,c_Expr_Oexp_Othrow(X80,tc_List_Olist(tc_String_Ochar)),X78) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_333])])]) ).

fof(c_0_570_571,plain,
    ! [X94,X95,X96,X97,X98,X99,X100,X101] :
      ( c_BigStep_Oeval(X101,c_Expr_Oexp_OSeq(X100,X99,tc_List_Olist(tc_String_Ochar)),X97,X98,X95)
      | ~ c_BigStep_Oeval(X101,X99,X96,X98,X95)
      | ~ c_BigStep_Oeval(X101,X100,X97,c_Expr_Oexp_OVal(X94,tc_List_Olist(tc_String_Ochar)),X96) ),
    inference(variable_rename,[status(thm)],[c_0_334]) ).

fof(c_0_571_572,plain,
    ! [X17,X18,X19,X20,X21,X22,X23] :
      ( c_Progress_OWTrt_H(X22,X17,X23,c_Expr_Oexp_OSeq(X19,X18,tc_List_Olist(tc_String_Ochar)),X20)
      | ~ c_Progress_OWTrt_H(X22,X17,X23,X18,X20)
      | ~ c_Progress_OWTrt_H(X22,X17,X23,X19,X21) ),
    inference(variable_rename,[status(thm)],[c_0_335]) ).

fof(c_0_572_573,plain,
    ! [X17,X18,X19,X20,X21,X22,X23] :
      ( c_WellTypeRT_OWTrt(X22,X17,X23,c_Expr_Oexp_OSeq(X19,X18,tc_List_Olist(tc_String_Ochar)),X20)
      | ~ c_WellTypeRT_OWTrt(X22,X17,X23,X18,X20)
      | ~ c_WellTypeRT_OWTrt(X22,X17,X23,X19,X21) ),
    inference(variable_rename,[status(thm)],[c_0_336]) ).

fof(c_0_573_574,plain,
    ! [X52,X53,X54,X55,X56,X57,X58] :
      ( c_WellType_OWT(X56,X57,X53,X55)
      | ~ c_WellType_OWT(X56,X57,c_Expr_Oexp_OTryCatch(X53,X58,X54,X52,tc_List_Olist(tc_String_Ochar)),X55) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_337])])]) ).

fof(c_0_574_575,plain,
    ! [X72,X73,X74,X75,X76,X77,X78] :
      ( c_in(c_Pair(c_Pair(X74,X72,X78,X77),c_Pair(X74,X73,X78,X77),tc_prod(X78,X77),tc_prod(X78,X77)),c_Recdef_Osame__fst(X76,X75,X78,X77),tc_prod(tc_prod(X78,X77),tc_prod(X78,X77)))
      | ~ c_in(c_Pair(X72,X73,X77,X77),hAPP(X75,X74),tc_prod(X77,X77))
      | ~ hBOOL(hAPP(X76,X74)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_338])])]) ).

fof(c_0_575_576,plain,
    ! [X25,X26,X27,X28,X29,X30,X31] :
      ( X27 = c_Type_Oty_OVoid
      | ~ c_WellType_OWT(X28,X30,c_Expr_Oexp_OFAss(X26,X29,X31,X25,tc_List_Olist(tc_String_Ochar)),X27) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_339])])]) ).

fof(c_0_576_577,plain,
    ! [X56,X57,X58,X59,X60,X61,X62] :
      ( c_in(c_Pair(c_Pair(X56,X60,X62,X61),c_Pair(X56,X59,X62,X61),tc_prod(X62,X61),tc_prod(X62,X61)),c_Wellfounded_Olex__prod(X58,X57,X62,X61),tc_prod(tc_prod(X62,X61),tc_prod(X62,X61)))
      | ~ c_in(c_Pair(X60,X59,X61,X61),X57,tc_prod(X61,X61)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_340])])]) ).

fof(c_0_577_578,plain,
    ! [X53,X54,X55,X56,X57,X58,X59,X60] :
      ( c_in(c_Pair(c_Pair(X58,X56,X60,X59),c_Pair(X57,X55,X60,X59),tc_prod(X60,X59),tc_prod(X60,X59)),c_Wellfounded_Olex__prod(X54,X53,X60,X59),tc_prod(tc_prod(X60,X59),tc_prod(X60,X59)))
      | ~ c_in(c_Pair(X58,X57,X60,X60),X54,tc_prod(X60,X60)) ),
    inference(variable_rename,[status(thm)],[c_0_341]) ).

fof(c_0_578_579,plain,
    ! [X70,X71,X72,X73,X74,X75,X76,X77,X78] :
      ( c_Expr_Oexp_OTryCatch(X75,X71,X77,X73,X78) != c_Expr_Oexp_OTryCatch(X74,X70,X76,X72,X78)
      | X73 = X72 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_342])])]) ).

fof(c_0_579_580,plain,
    ! [X70,X71,X72,X73,X74,X75,X76,X77,X78] :
      ( c_Expr_Oexp_OTryCatch(X75,X71,X77,X73,X78) != c_Expr_Oexp_OTryCatch(X74,X70,X76,X72,X78)
      | X77 = X76 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_343])])]) ).

fof(c_0_580_581,plain,
    ! [X70,X71,X72,X73,X74,X75,X76,X77,X78] :
      ( c_Expr_Oexp_OTryCatch(X75,X71,X77,X73,X78) != c_Expr_Oexp_OTryCatch(X74,X70,X76,X72,X78)
      | X71 = X70 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_344])])]) ).

fof(c_0_581_582,plain,
    ! [X70,X71,X72,X73,X74,X75,X76,X77,X78] :
      ( c_Expr_Oexp_OTryCatch(X75,X71,X77,X73,X78) != c_Expr_Oexp_OTryCatch(X74,X70,X76,X72,X78)
      | X75 = X74 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_345])])]) ).

fof(c_0_582_583,plain,
    ! [X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( c_Expr_Oexp_OFAss(X47,X43,X41,X45,X48) != c_Expr_Oexp_OFAss(X46,X42,X40,X44,X48)
      | X45 = X44 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_346])])]) ).

fof(c_0_583_584,plain,
    ! [X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( c_Expr_Oexp_OFAss(X47,X43,X41,X45,X48) != c_Expr_Oexp_OFAss(X46,X42,X40,X44,X48)
      | X41 = X40 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_347])])]) ).

fof(c_0_584_585,plain,
    ! [X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( c_Expr_Oexp_OFAss(X47,X43,X41,X45,X48) != c_Expr_Oexp_OFAss(X46,X42,X40,X44,X48)
      | X43 = X42 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_348])])]) ).

fof(c_0_585_586,plain,
    ! [X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( c_Expr_Oexp_OFAss(X47,X43,X41,X45,X48) != c_Expr_Oexp_OFAss(X46,X42,X40,X44,X48)
      | X47 = X46 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_349])])]) ).

fof(c_0_586_587,plain,
    ! [X99,X100,X101,X102,X103,X104,X105] :
      ( c_BigStep_Oeval(X104,c_Expr_Oexp_OCall(X103,X105,X101,tc_List_Olist(tc_String_Ochar)),X100,c_Expr_Oexp_Othrow(X102,tc_List_Olist(tc_String_Ochar)),X99)
      | ~ c_BigStep_Oeval(X104,X103,X100,c_Expr_Oexp_Othrow(X102,tc_List_Olist(tc_String_Ochar)),X99) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_350])])]) ).

fof(c_0_587_588,plain,
    ! [X78,X79,X80,X81,X82,X83,X84] :
      ( c_BigStep_Oeval(X84,c_Expr_Oexp_OCond(X83,X82,X81,tc_List_Olist(tc_String_Ochar)),X79,c_Expr_Oexp_Othrow(X80,tc_List_Olist(tc_String_Ochar)),X78)
      | ~ c_BigStep_Oeval(X84,X83,X79,c_Expr_Oexp_Othrow(X80,tc_List_Olist(tc_String_Ochar)),X78) ),
    inference(variable_rename,[status(thm)],[c_0_351]) ).

fof(c_0_588_589,plain,
    ! [X78,X79,X80,X81,X82,X83,X84] :
      ( c_BigStep_Oeval(X84,c_Expr_Oexp_OBinOp(X81,X83,X80,tc_List_Olist(tc_String_Ochar)),X79,c_Expr_Oexp_Othrow(X82,tc_List_Olist(tc_String_Ochar)),X78)
      | ~ c_BigStep_Oeval(X84,X81,X79,c_Expr_Oexp_Othrow(X82,tc_List_Olist(tc_String_Ochar)),X78) ),
    inference(variable_rename,[status(thm)],[c_0_352]) ).

fof(c_0_589_590,plain,
    ! [X78,X79,X80,X81,X82,X83,X84] :
      ( c_BigStep_Oeval(X82,c_Expr_Oexp_OFAcc(X81,X83,X84,tc_List_Olist(tc_String_Ochar)),X79,c_Expr_Oexp_Othrow(X80,tc_List_Olist(tc_String_Ochar)),X78)
      | ~ c_BigStep_Oeval(X82,X81,X79,c_Expr_Oexp_Othrow(X80,tc_List_Olist(tc_String_Ochar)),X78) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_353])])]) ).

fof(c_0_590_591,plain,
    ! [X19,X20,X21,X22,X23,X24,X25] :
      ( c_WellTypeRT_OWTrt(X22,X19,X24,c_Expr_Oexp_OFAcc(X20,X23,X25,tc_List_Olist(tc_String_Ochar)),X21)
      | ~ c_WellTypeRT_OWTrt(X22,X19,X24,X20,c_Type_Oty_ONT) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_354])])]) ).

fof(c_0_591_592,plain,
    ! [X19,X20,X21,X22,X23,X24,X25] :
      ( c_Progress_OWTrt_H(X22,X19,X24,c_Expr_Oexp_OFAcc(X20,X23,X25,tc_List_Olist(tc_String_Ochar)),X21)
      | ~ c_Progress_OWTrt_H(X22,X19,X24,X20,c_Type_Oty_ONT) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_355])])]) ).

fof(c_0_592_593,plain,
    ! [X14,X15,X16,X17,X18,X19] :
      ( c_WellTypeRT_OWTrt(X17,X14,X18,X15,X16)
      | ~ c_Map_Omap__le(X19,X18,tc_List_Olist(tc_String_Ochar),tc_Type_Oty)
      | ~ c_WellTypeRT_OWTrt(X17,X14,X19,X15,X16) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_356])])]) ).

fof(c_0_593_594,plain,
    ! [X94,X95,X96,X97,X98,X99] :
      ( c_BigStep_Oeval(X99,c_Expr_Oexp_OSeq(X97,X96,tc_List_Olist(tc_String_Ochar)),X95,c_Expr_Oexp_Othrow(X98,tc_List_Olist(tc_String_Ochar)),X94)
      | ~ c_BigStep_Oeval(X99,X97,X95,c_Expr_Oexp_Othrow(X98,tc_List_Olist(tc_String_Ochar)),X94) ),
    inference(variable_rename,[status(thm)],[c_0_357]) ).

fof(c_0_594_595,plain,
    ! [X78,X79,X80,X81,X82,X83] :
      ( c_BigStep_Oeval(X83,c_Expr_Oexp_OLAss(X82,X81,tc_List_Olist(tc_String_Ochar)),X79,c_Expr_Oexp_Othrow(X80,tc_List_Olist(tc_String_Ochar)),X78)
      | ~ c_BigStep_Oeval(X83,X81,X79,c_Expr_Oexp_Othrow(X80,tc_List_Olist(tc_String_Ochar)),X78) ),
    inference(variable_rename,[status(thm)],[c_0_358]) ).

fof(c_0_595_596,plain,
    ! [X78,X79,X80,X81,X82,X83] :
      ( c_BigStep_Oeval(X82,c_Expr_Oexp_OCast(X83,X81,tc_List_Olist(tc_String_Ochar)),X79,c_Expr_Oexp_Othrow(X80,tc_List_Olist(tc_String_Ochar)),X78)
      | ~ c_BigStep_Oeval(X82,X81,X79,c_Expr_Oexp_Othrow(X80,tc_List_Olist(tc_String_Ochar)),X78) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_359])])]) ).

fof(c_0_596_597,plain,
    ! [X78,X79,X80,X81,X82] :
      ( c_BigStep_Oeval(X82,c_Expr_Oexp_Othrow(X81,tc_List_Olist(tc_String_Ochar)),X79,c_Expr_Oexp_Othrow(X80,tc_List_Olist(tc_String_Ochar)),X78)
      | ~ c_BigStep_Oeval(X82,X81,X79,c_Expr_Oexp_Othrow(X80,tc_List_Olist(tc_String_Ochar)),X78) ),
    inference(variable_rename,[status(thm)],[c_0_360]) ).

fof(c_0_597_598,plain,
    ! [X31,X32,X33,X34,X35,X36] :
      ( c_Conform_Olconf(X34,X32,X31,X35,X36)
      | ~ c_Objects_Ohext(X33,X32)
      | ~ c_Conform_Olconf(X34,X33,X31,X35,X36) ),
    inference(variable_rename,[status(thm)],[c_0_361]) ).

fof(c_0_598_599,plain,
    ! [X13,X14,X15,X16,X17,X18] :
      ( c_WellTypeRT_OWTrt(X17,X13,X18,X15,X16)
      | ~ c_Objects_Ohext(X14,X13)
      | ~ c_WellTypeRT_OWTrt(X17,X14,X18,X15,X16) ),
    inference(variable_rename,[status(thm)],[c_0_362]) ).

fof(c_0_599_600,plain,
    ! [X13,X14,X15,X16,X17] :
      ( c_Progress_OWTrt_H(X16,X13,X17,X14,X15)
      | ~ c_WellTypeRT_OWTrt(X16,X13,X17,X14,X15) ),
    inference(variable_rename,[status(thm)],[c_0_363]) ).

fof(c_0_600_601,plain,
    ! [X13,X14,X15,X16,X17] :
      ( c_WellTypeRT_OWTrt(X16,X13,X17,X14,X15)
      | ~ c_Progress_OWTrt_H(X16,X13,X17,X14,X15) ),
    inference(variable_rename,[status(thm)],[c_0_364]) ).

fof(c_0_601_602,plain,
    ! [X27,X28,X29,X30,X31] :
      ( c_Map_Omap__le(c_Map_Omap__add(X29,X28,X31,X30),X27,X31,X30)
      | ~ c_Map_Omap__le(X29,c_Map_Omap__add(X29,X28,X31,X30),X31,X30)
      | ~ c_Map_Omap__le(X28,X27,X31,X30)
      | ~ c_Map_Omap__le(X29,X27,X31,X30) ),
    inference(variable_rename,[status(thm)],[c_0_365]) ).

fof(c_0_602_603,plain,
    ! [X91,X92,X93,X94,X95] :
      ( c_in(c_Pair(X94,X92,X95,X95),c_Transitive__Closure_Ortrancl(X91,X95),tc_prod(X95,X95))
      | ~ c_in(c_Pair(X93,X92,X95,X95),c_Transitive__Closure_Ortrancl(X91,X95),tc_prod(X95,X95))
      | ~ c_in(c_Pair(X94,X93,X95,X95),c_Transitive__Closure_Ortrancl(X91,X95),tc_prod(X95,X95)) ),
    inference(variable_rename,[status(thm)],[c_0_366]) ).

fof(c_0_603_604,plain,
    ! [X91,X92,X93,X94,X95] :
      ( c_in(c_Pair(X94,X92,X95,X95),c_Transitive__Closure_Ortrancl(X91,X95),tc_prod(X95,X95))
      | ~ c_in(c_Pair(X93,X92,X95,X95),c_Transitive__Closure_Ortrancl(X91,X95),tc_prod(X95,X95))
      | ~ c_in(c_Pair(X94,X93,X95,X95),X91,tc_prod(X95,X95)) ),
    inference(variable_rename,[status(thm)],[c_0_367]) ).

fof(c_0_604_605,plain,
    ! [X91,X92,X93,X94,X95] :
      ( c_in(c_Pair(X94,X92,X95,X95),c_Transitive__Closure_Ortrancl(X91,X95),tc_prod(X95,X95))
      | ~ c_in(c_Pair(X93,X92,X95,X95),X91,tc_prod(X95,X95))
      | ~ c_in(c_Pair(X94,X93,X95,X95),c_Transitive__Closure_Ortrancl(X91,X95),tc_prod(X95,X95)) ),
    inference(variable_rename,[status(thm)],[c_0_368]) ).

fof(c_0_605_606,plain,
    ! [X19,X20,X21,X22,X23,X24] :
      ( X21 = c_Type_Oty_OClass(X24)
      | ~ c_WellTypeRT_OWTrt(X22,X19,X23,c_Expr_Oexp_OCast(X24,X20,tc_List_Olist(tc_String_Ochar)),X21) ),
    inference(variable_rename,[status(thm)],[c_0_369]) ).

fof(c_0_606_607,plain,
    ! [X25,X26,X27,X28,X29,X30] :
      ( X28 = c_Type_Oty_OVoid
      | ~ c_WellTypeRT_OWTrt(X29,X26,X30,c_Expr_Oexp_OLAss(X25,X27,tc_List_Olist(tc_String_Ochar)),X28) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_370])])]) ).

fof(c_0_607_608,plain,
    ! [X52,X53,X54,X55,X56,X57] :
      ( X55 = c_Type_Oty_OVoid
      | ~ c_Progress_OWTrt_H(X56,X52,X57,c_Expr_Oexp_OLAss(X54,X53,tc_List_Olist(tc_String_Ochar)),X55) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_371])])]) ).

fof(c_0_608_609,plain,
    ! [X49,X50,X51,X52,X53] :
      ( X52 = c_Expr_Oexp_OVal(X49,tc_List_Olist(tc_String_Ochar))
      | ~ c_BigStep_Oeval(X53,c_Expr_Oexp_OVal(X49,tc_List_Olist(tc_String_Ochar)),X51,X52,X50) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_372])])]) ).

fof(c_0_609_610,plain,
    ! [X49,X50,X51,X52,X53] :
      ( X50 = X51
      | ~ c_BigStep_Oeval(X53,c_Expr_Oexp_OVal(X49,tc_List_Olist(tc_String_Ochar)),X51,X52,X50) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_373])])]) ).

fof(c_0_610_611,plain,
    ! [X7] :
      ( v_thesis____
      | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X7) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_374])])]) ).

fof(c_0_611_612,plain,
    ! [X66,X67,X68,X69,X70,X71] :
      ( c_in(X66,hAPP(X68,X67),X70)
      | ~ c_in(c_Pair(X67,X66,X71,X70),c_Product__Type_OSigma(X69,X68,X71,X70),tc_prod(X71,X70)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_375])])]) ).

fof(c_0_612_613,plain,
    ! [X66,X67,X68,X69,X70,X71] :
      ( c_in(X67,X69,X71)
      | ~ c_in(c_Pair(X67,X66,X71,X70),c_Product__Type_OSigma(X69,X68,X71,X70),tc_prod(X71,X70)) ),
    inference(variable_rename,[status(thm)],[c_0_376]) ).

fof(c_0_613_614,plain,
    ! [X27,X28,X29,X30] :
      ( c_Map_Omap__add(X28,X27,X30,X29) = c_Map_Omap__add(X27,X28,X30,X29)
      | ~ c_Map_Omap__le(X28,c_Map_Omap__add(X28,X27,X30,X29),X30,X29) ),
    inference(variable_rename,[status(thm)],[c_0_377]) ).

fof(c_0_614_615,plain,
    ! [X13,X14,X15,X16,X17] :
      ( c_WellTypeRT_OWTrt(X16,X13,X17,X14,X15)
      | ~ c_WellType_OWT(X16,X17,X14,X15) ),
    inference(variable_rename,[status(thm)],[c_0_378]) ).

fof(c_0_615_616,plain,
    ! [X54,X55,X56,X57,X58,X59] :
      ( c_in(X55,c_Relation_OImage(X54,X57,X59,X58),X58)
      | ~ c_in(c_Pair(X56,X55,X59,X58),X54,tc_prod(X59,X58))
      | ~ c_in(X56,X57,X59) ),
    inference(variable_rename,[status(thm)],[c_0_379]) ).

fof(c_0_616_617,plain,
    ! [X56,X57,X58,X59,X60,X61] :
      ( c_in(X58,c_Relation_OImage(X57,X59,X60,X61),X61)
      | ~ c_in(c_Pair(X56,X58,X60,X61),X57,tc_prod(X60,X61))
      | ~ c_in(X56,X59,X60) ),
    inference(variable_rename,[status(thm)],[c_0_380]) ).

fof(c_0_617_618,plain,
    ! [X27,X28,X29,X30] :
      ( c_Map_Omap__add(X28,X27,X30,X29) != c_Map_Omap__add(X27,X28,X30,X29)
      | c_Map_Omap__le(X28,c_Map_Omap__add(X28,X27,X30,X29),X30,X29) ),
    inference(variable_rename,[status(thm)],[c_0_381]) ).

fof(c_0_618_619,plain,
    ! [X27,X28,X29,X30,X31] :
      ( c_Map_Omap__le(X28,X27,X31,X30)
      | ~ c_Map_Omap__le(c_Map_Omap__add(X29,X28,X31,X30),X27,X31,X30) ),
    inference(variable_rename,[status(thm)],[c_0_382]) ).

fof(c_0_619_620,plain,
    ! [X65,X66,X67,X68,X69] :
      ( c_in(c_Pair(X65,X66,X69,X69),X67,tc_prod(X69,X69))
      | c_in(c_Pair(X66,X65,X69,X69),X67,tc_prod(X69,X69))
      | X66 = X65
      | ~ c_in(X65,X68,X69)
      | ~ c_in(X66,X68,X69)
      | ~ c_Relation_Ototal__on(X68,X67,X69) ),
    inference(variable_rename,[status(thm)],[c_0_383]) ).

fof(c_0_620_621,plain,
    ! [X66,X67,X68,X69,X70,X71] :
      ( c_in(c_Pair(X67,X66,X71,X70),c_Product__Type_OSigma(X69,X68,X71,X70),tc_prod(X71,X70))
      | ~ c_in(X66,hAPP(X68,X67),X70)
      | ~ c_in(X67,X69,X71) ),
    inference(variable_rename,[status(thm)],[c_0_384]) ).

fof(c_0_621_622,plain,
    ! [X66,X67,X68,X69,X70,X71] :
      ( c_in(c_Pair(X67,X66,X71,X70),c_Product__Type_OSigma(X69,X68,X71,X70),tc_prod(X71,X70))
      | ~ c_in(X66,hAPP(X68,X67),X70)
      | ~ c_in(X67,X69,X71) ),
    inference(variable_rename,[status(thm)],[c_0_385]) ).

fof(c_0_622_623,plain,
    ! [X53,X54,X55,X56] :
      ( c_in(X54,c_Wellfounded_Oacc(X53,X56),X56)
      | ~ c_in(c_Pair(X54,X55,X56,X56),c_Transitive__Closure_Ortrancl(X53,X56),tc_prod(X56,X56))
      | ~ c_in(X55,c_Wellfounded_Oacc(X53,X56),X56) ),
    inference(variable_rename,[status(thm)],[c_0_386]) ).

fof(c_0_623_624,plain,
    ! [X53,X54,X55,X56] :
      ( c_in(X54,c_Wellfounded_Oacc(X53,X56),X56)
      | ~ c_in(X55,c_Wellfounded_Oacc(X53,X56),X56)
      | ~ c_in(c_Pair(X54,X55,X56,X56),c_Transitive__Closure_Ortrancl(X53,X56),tc_prod(X56,X56)) ),
    inference(variable_rename,[status(thm)],[c_0_387]) ).

fof(c_0_624_625,plain,
    ! [X17,X18,X19,X20,X21,X22] :
      ( c_WellType_OWT(X21,X22,c_Expr_Oexp_OSeq(X18,X17,tc_List_Olist(tc_String_Ochar)),X19)
      | ~ c_WellType_OWT(X21,X22,X17,X19)
      | ~ c_WellType_OWT(X21,X22,X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_388]) ).

fof(c_0_625_626,plain,
    ! [X53,X54,X55,X56] :
      ( c_in(X55,c_Wellfounded_Oacc(X53,X56),X56)
      | ~ c_in(c_Pair(X55,X54,X56,X56),X53,tc_prod(X56,X56))
      | ~ c_in(X54,c_Wellfounded_Oacc(X53,X56),X56) ),
    inference(variable_rename,[status(thm)],[c_0_389]) ).

fof(c_0_626_627,plain,
    ! [X55,X56,X57,X58] :
      ( c_in(X55,c_Wellfounded_Oacc(X56,X58),X58)
      | ~ c_in(c_Pair(X55,X57,X58,X58),X56,tc_prod(X58,X58))
      | ~ c_in(X57,c_Wellfounded_Oacc(X56,X58),X58) ),
    inference(variable_rename,[status(thm)],[c_0_390]) ).

fof(c_0_627_628,plain,
    ! [X72,X73,X74,X75] :
      ( X73 = X72
      | ~ c_in(c_Pair(X73,X72,X75,X75),c_Transitive__Closure_Ortrancl(X74,X75),tc_prod(X75,X75))
      | c_in(X73,c_Relation_ODomain(X74,X75,X75),X75) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_391])])]) ).

fof(c_0_628_629,plain,
    ! [X56,X57,X58,X59,X60] :
      ( c_in(X58,c_Relation_ORange(X57,X59,X60),X60)
      | ~ c_in(c_Pair(X56,X58,X59,X60),X57,tc_prod(X59,X60)) ),
    inference(variable_rename,[status(thm)],[c_0_392]) ).

fof(c_0_629_630,plain,
    ! [X53,X54,X55,X56,X57] :
      ( c_in(X54,c_Relation_ORange(X53,X57,X56),X56)
      | ~ c_in(c_Pair(X55,X54,X57,X56),X53,tc_prod(X57,X56)) ),
    inference(variable_rename,[status(thm)],[c_0_393]) ).

fof(c_0_630_631,plain,
    ! [X56,X57,X58,X59,X60] :
      ( c_in(X58,c_Relation_ODomain(X57,X60,X59),X60)
      | ~ c_in(c_Pair(X58,X56,X60,X59),X57,tc_prod(X60,X59)) ),
    inference(variable_rename,[status(thm)],[c_0_394]) ).

fof(c_0_631_632,plain,
    ! [X53,X54,X55,X56,X57] :
      ( c_in(X55,c_Relation_ODomain(X53,X57,X56),X57)
      | ~ c_in(c_Pair(X55,X54,X57,X56),X53,tc_prod(X57,X56)) ),
    inference(variable_rename,[status(thm)],[c_0_395]) ).

fof(c_0_632_633,plain,
    ! [X56,X57,X58,X59,X60] :
      ( c_in(X57,X59,X60)
      | ~ c_in(c_Pair(X57,X56,X60,X60),X58,tc_prod(X60,X60))
      | ~ c_Equiv__Relations_Oequiv(X59,X58,X60) ),
    inference(variable_rename,[status(thm)],[c_0_396]) ).

fof(c_0_633_634,plain,
    ! [X56,X57,X58,X59,X60] :
      ( c_in(X56,X59,X60)
      | ~ c_in(c_Pair(X57,X56,X60,X60),X58,tc_prod(X60,X60))
      | ~ c_Equiv__Relations_Oequiv(X59,X58,X60) ),
    inference(variable_rename,[status(thm)],[c_0_397]) ).

fof(c_0_634_635,plain,
    ! [X56,X57,X58,X59,X60] :
      ( c_in(X56,X59,X60)
      | ~ c_in(c_Pair(X57,X56,X60,X60),X58,tc_prod(X60,X60))
      | ~ c_Relation_Orefl__on(X59,X58,X60) ),
    inference(variable_rename,[status(thm)],[c_0_398]) ).

fof(c_0_635_636,plain,
    ! [X56,X57,X58,X59,X60] :
      ( c_in(X57,X59,X60)
      | ~ c_in(c_Pair(X57,X56,X60,X60),X58,tc_prod(X60,X60))
      | ~ c_Relation_Orefl__on(X59,X58,X60) ),
    inference(variable_rename,[status(thm)],[c_0_399]) ).

fof(c_0_636_637,plain,
    ! [X14,X15,X16,X17,X18] :
      ( c_WellType_OWT(X16,X17,X14,X15)
      | ~ c_Map_Omap__le(X18,X17,tc_List_Olist(tc_String_Ochar),tc_Type_Oty)
      | ~ c_WellType_OWT(X16,X18,X14,X15) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_400])])]) ).

fof(c_0_637_638,plain,
    ! [X58,X59,X60,X61,X62] :
      ( c_TypeRel_Owiden(X61,X60,X59,X62)
      | ~ c_TypeRel_Owiden(X61,X58,X59,X62)
      | ~ c_TypeRel_Owiden(X61,X60,X58,X62) ),
    inference(variable_rename,[status(thm)],[c_0_401]) ).

fof(c_0_638_639,plain,
    ! [X43,X44,X45,X46,X47] :
      ( c_Map_Omap__le(X45,X43,X47,X46)
      | ~ c_Map_Omap__le(X44,X43,X47,X46)
      | ~ c_Map_Omap__le(X45,X44,X47,X46) ),
    inference(variable_rename,[status(thm)],[c_0_402]) ).

fof(c_0_639_640,plain,
    ! [X56,X57,X58,X59] :
      ( c_in(X57,X58,X59)
      | ~ c_in(c_Pair(X57,X56,X59,X59),c_Relation_OId__on(X58,X59),tc_prod(X59,X59)) ),
    inference(variable_rename,[status(thm)],[c_0_403]) ).

fof(c_0_640_641,plain,
    ! [X56,X57,X58,X59] :
      ( X57 = X56
      | ~ c_in(c_Pair(X57,X56,X59,X59),c_Relation_OId__on(X58,X59),tc_prod(X59,X59)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_404])])]) ).

fof(c_0_641_642,plain,
    ! [X47,X48,X49,X50] :
      ( X47 = c_Type_Oty_OClass(c_TypeRel_Osko__TypeRel__Xwiden__Class__1__1(X49,X48,X47,X50))
      | X47 = c_Type_Oty_ONT
      | ~ c_TypeRel_Owiden(X48,X47,c_Type_Oty_OClass(X49),X50) ),
    inference(variable_rename,[status(thm)],[c_0_405]) ).

fof(c_0_642_643,plain,
    ! [X27,X28,X29,X30] :
      ( X28 = X27
      | ~ c_Map_Omap__le(X27,X28,X30,X29)
      | ~ c_Map_Omap__le(X28,X27,X30,X29) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_406])])]) ).

fof(c_0_643_644,plain,
    ! [X74,X75,X76,X77,X78,X79,X80] :
      ( c_Expr_Oexp_OCall(X79,X77,X75,X80) != c_Expr_Oexp_OCall(X78,X76,X74,X80)
      | X79 = X78 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_407])])]) ).

fof(c_0_644_645,plain,
    ! [X74,X75,X76,X77,X78,X79,X80] :
      ( c_Expr_Oexp_OCall(X79,X77,X75,X80) != c_Expr_Oexp_OCall(X78,X76,X74,X80)
      | X77 = X76 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_408])])]) ).

fof(c_0_645_646,plain,
    ! [X74,X75,X76,X77,X78,X79,X80] :
      ( c_Expr_Oexp_OCall(X79,X77,X75,X80) != c_Expr_Oexp_OCall(X78,X76,X74,X80)
      | X75 = X74 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_409])])]) ).

fof(c_0_646_647,plain,
    ! [X88,X89,X90,X91,X92,X93,X94] :
      ( c_Expr_Oexp_OCond(X93,X91,X89,X94) != c_Expr_Oexp_OCond(X92,X90,X88,X94)
      | X89 = X88 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_410])])]) ).

fof(c_0_647_648,plain,
    ! [X88,X89,X90,X91,X92,X93,X94] :
      ( c_Expr_Oexp_OCond(X93,X91,X89,X94) != c_Expr_Oexp_OCond(X92,X90,X88,X94)
      | X91 = X90 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_411])])]) ).

fof(c_0_648_649,plain,
    ! [X88,X89,X90,X91,X92,X93,X94] :
      ( c_Expr_Oexp_OCond(X93,X91,X89,X94) != c_Expr_Oexp_OCond(X92,X90,X88,X94)
      | X93 = X92 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_412])])]) ).

fof(c_0_649_650,plain,
    ! [X83,X84,X85,X86,X87,X88,X89] :
      ( c_Expr_Oexp_OBinOp(X86,X88,X84,X89) != c_Expr_Oexp_OBinOp(X85,X87,X83,X89)
      | X84 = X83 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_413])])]) ).

fof(c_0_650_651,plain,
    ! [X83,X84,X85,X86,X87,X88,X89] :
      ( c_Expr_Oexp_OBinOp(X86,X88,X84,X89) != c_Expr_Oexp_OBinOp(X85,X87,X83,X89)
      | X88 = X87 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_414])])]) ).

fof(c_0_651_652,plain,
    ! [X83,X84,X85,X86,X87,X88,X89] :
      ( c_Expr_Oexp_OBinOp(X86,X88,X84,X89) != c_Expr_Oexp_OBinOp(X85,X87,X83,X89)
      | X86 = X85 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_415])])]) ).

fof(c_0_652_653,plain,
    ! [X74,X75,X76,X77,X78,X79,X80] :
      ( c_Expr_Oexp_OFAcc(X79,X77,X75,X80) != c_Expr_Oexp_OFAcc(X78,X76,X74,X80)
      | X79 = X78 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_416])])]) ).

fof(c_0_653_654,plain,
    ! [X74,X75,X76,X77,X78,X79,X80] :
      ( c_Expr_Oexp_OFAcc(X79,X77,X75,X80) != c_Expr_Oexp_OFAcc(X78,X76,X74,X80)
      | X77 = X76 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_417])])]) ).

fof(c_0_654_655,plain,
    ! [X74,X75,X76,X77,X78,X79,X80] :
      ( c_Expr_Oexp_OFAcc(X79,X77,X75,X80) != c_Expr_Oexp_OFAcc(X78,X76,X74,X80)
      | X75 = X74 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_418])])]) ).

fof(c_0_655_656,plain,
    ! [X24,X25,X26,X27,X28,X29] :
      ( c_Pair(X27,X25,X29,X28) != c_Pair(X26,X24,X29,X28)
      | X27 = X26 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_419])])]) ).

fof(c_0_656_657,plain,
    ! [X24,X25,X26,X27,X28,X29] :
      ( c_Pair(X27,X25,X29,X28) != c_Pair(X26,X24,X29,X28)
      | X25 = X24 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_420])])]) ).

fof(c_0_657_658,plain,
    ! [X86,X87,X88,X89,X90] :
      ( hAPP(c_Map_Omap__add(X88,X87,X90,X89),X86) = hAPP(X87,X86)
      | ~ c_in(X86,c_Map_Odom(X87,X90,X89),X90) ),
    inference(variable_rename,[status(thm)],[c_0_421]) ).

fof(c_0_658_659,plain,
    ! [X72,X73,X74] :
      ( c_in(X72,c_Relation_ODomain(X73,X74,X74),X74)
      | c_in(c_Pair(X72,X72,X74,X74),c_Transitive__Closure_Ortrancl(X73,X74),tc_prod(X74,X74)) ),
    inference(variable_rename,[status(thm)],[c_0_422]) ).

fof(c_0_659_660,plain,
    ! [X56,X57,X58,X59] :
      ( c_in(c_Pair(X56,X56,X59,X59),X57,tc_prod(X59,X59))
      | ~ c_in(X56,X58,X59)
      | ~ c_Relation_Orefl__on(X58,X57,X59) ),
    inference(variable_rename,[status(thm)],[c_0_423]) ).

fof(c_0_660_661,plain,
    ! [X54,X55,X56,X57] :
      ( c_in(c_Pair(X55,X55,X57,X57),X54,tc_prod(X57,X57))
      | ~ c_in(X55,X56,X57)
      | ~ c_Relation_Orefl__on(X56,X54,X57) ),
    inference(variable_rename,[status(thm)],[c_0_424]) ).

fof(c_0_661_662,plain,
    ! [X56,X57,X58] :
      ( c_in(c_Pair(X56,X56,X58,X58),c_Relation_OId__on(X57,X58),tc_prod(X58,X58))
      | ~ c_in(X56,X57,X58) ),
    inference(variable_rename,[status(thm)],[c_0_425]) ).

fof(c_0_662_663,plain,
    ! [X86,X87,X88,X89,X90] :
      ( hAPP(c_Map_Omap__add(X88,X87,X90,X89),X86) = hAPP(X87,X86)
      | c_in(X86,c_Map_Odom(X88,X90,X89),X90) ),
    inference(variable_rename,[status(thm)],[c_0_426]) ).

fof(c_0_663_664,plain,
    ! [X86,X87,X88,X89,X90] :
      ( hAPP(c_Map_Omap__add(X88,X87,X90,X89),X86) = hAPP(X88,X86)
      | c_in(X86,c_Map_Odom(X87,X90,X89),X90) ),
    inference(variable_rename,[status(thm)],[c_0_427]) ).

fof(c_0_664_665,plain,
    ! [X27,X28,X29,X30] :
      ( c_lessequals(c_Map_Odom(X28,X30,X29),c_Map_Odom(X27,X30,X29),tc_fun(X30,tc_bool))
      | ~ c_Map_Omap__le(X28,X27,X30,X29) ),
    inference(variable_rename,[status(thm)],[c_0_428]) ).

fof(c_0_665_666,plain,
    ! [X47,X48,X49,X50] :
      ( c_WellType_OWT(X48,X49,c_Expr_Oexp_Othrow(X47,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
      | ~ c_WellType_OWT(X48,X49,X47,c_Type_Oty_OClass(X50)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_429])])]) ).

fof(c_0_666_667,plain,
    ! [X98,X99,X100,X101,X102] :
      ( hAPP(X100,X98) = hAPP(X99,X98)
      | ~ c_in(X98,c_Map_Odom(X100,X102,X101),X102)
      | ~ c_Map_Omap__le(X100,X99,X102,X101) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_430])])]) ).

fof(c_0_667_668,plain,
    ! [X19,X20,X21,X22,X23] :
      ( X20 = c_Type_Oty_OClass(X23)
      | ~ c_WellType_OWT(X21,X22,c_Expr_Oexp_OCast(X23,X19,tc_List_Olist(tc_String_Ochar)),X20) ),
    inference(variable_rename,[status(thm)],[c_0_431]) ).

fof(c_0_668_669,plain,
    ! [X52,X53,X54,X55,X56] :
      ( X54 = c_Type_Oty_OVoid
      | ~ c_WellType_OWT(X55,X56,c_Expr_Oexp_OLAss(X53,X52,tc_List_Olist(tc_String_Ochar)),X54) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_432])])]) ).

fof(c_0_669_670,plain,
    ! [X68,X69,X70] :
      ( X69 = c_Type_Oty_ONT
      | X69 = c_Type_Oty_OClass(v_sko__TypeRel__Xwiden__Xcases__1(X70,X69,X68))
      | X68 = X69
      | ~ c_TypeRel_Owiden(X70,X69,X68,t_a) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_433])])]) ).

fof(c_0_670_671,plain,
    ! [X68,X69,X70] :
      ( X69 = c_Type_Oty_ONT
      | X68 = c_Type_Oty_OClass(v_sko__TypeRel__Xwiden__Xcases__2(X70,X69,X68))
      | X68 = X69
      | ~ c_TypeRel_Owiden(X70,X69,X68,t_a) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_434])])]) ).

fof(c_0_671_672,plain,
    ! [X13,X14,X15,X16] :
      ( X14 = c_Type_Oty_OVoid
      | ~ c_WellType_OWT(X15,X16,c_Expr_Oexp_Othrow(X13,tc_List_Olist(tc_String_Ochar)),X14) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_435])])]) ).

fof(c_0_672_673,plain,
    ! [X66,X67,X68,X69] :
      ( c_lessequals(X68,X66,tc_fun(X69,tc_bool))
      | ~ c_lessequals(X67,X66,tc_fun(X69,tc_bool))
      | ~ c_lessequals(X68,X67,tc_fun(X69,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_436]) ).

fof(c_0_673_674,plain,
    ! [X66,X67,X68,X69] :
      ( c_in(X66,X67,X69)
      | ~ c_in(X66,X68,X69)
      | ~ c_lessequals(X68,X67,tc_fun(X69,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_437]) ).

fof(c_0_674_675,plain,
    ! [X91,X92,X93,X94] :
      ( c_in(X91,X92,X94)
      | ~ c_in(X91,X93,X94)
      | ~ c_lessequals(X93,X92,tc_fun(X94,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_438]) ).

fof(c_0_675_676,plain,
    ! [X66,X67,X68,X69] :
      ( c_in(X66,X67,X69)
      | ~ c_lessequals(X68,X67,tc_fun(X69,tc_bool))
      | ~ c_in(X66,X68,X69) ),
    inference(variable_rename,[status(thm)],[c_0_439]) ).

fof(c_0_676_677,plain,
    ! [X90,X91,X92,X93] :
      ( c_in(X90,X91,X93)
      | ~ c_in(X90,X92,X93)
      | ~ c_lessequals(X92,X91,tc_fun(X93,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_440]) ).

fof(c_0_677_678,plain,
    ! [X66,X67,X68] :
      ( X67 = X66
      | ~ c_lessequals(X66,X67,tc_fun(X68,tc_bool))
      | ~ c_lessequals(X67,X66,tc_fun(X68,tc_bool)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_441])])]) ).

fof(c_0_678_679,plain,
    ! [X66,X67,X68] :
      ( X67 = X66
      | ~ c_lessequals(X66,X67,tc_fun(X68,tc_bool))
      | ~ c_lessequals(X67,X66,tc_fun(X68,tc_bool)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_442])])]) ).

fof(c_0_679_680,plain,
    ! [X56,X57,X58,X59,X60] :
      ( ~ class_HOL_Oord(X59)
      | c_lessequals(hAPP(X58,X56),hAPP(X57,X56),X59)
      | ~ c_lessequals(X58,X57,tc_fun(X60,X59)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_443])])]) ).

fof(c_0_680_681,plain,
    ! [X92,X93,X94,X95] :
      ( ~ class_Orderings_Oorder(X95)
      | c_lessequals(X92,X94,X95)
      | ~ c_lessequals(X92,X93,X95)
      | ~ c_lessequals(X93,X94,X95) ),
    inference(variable_rename,[status(thm)],[c_0_444]) ).

fof(c_0_681_682,plain,
    ! [X92,X93,X94,X95] :
      ( ~ class_Orderings_Opreorder(X95)
      | c_lessequals(X94,X92,X95)
      | ~ c_lessequals(X93,X92,X95)
      | ~ c_lessequals(X94,X93,X95) ),
    inference(variable_rename,[status(thm)],[c_0_445]) ).

fof(c_0_682_683,plain,
    ! [X95,X96,X97] :
      ( c_in(X96,c_Transitive__Closure_Ortrancl(X95,X97),tc_prod(X97,X97))
      | ~ c_in(X96,X95,tc_prod(X97,X97)) ),
    inference(variable_rename,[status(thm)],[c_0_446]) ).

fof(c_0_683_684,plain,
    ! [X89,X90,X91,X92] :
      ( hBOOL(hAPP(X90,X89))
      | ~ hBOOL(hAPP(X91,X89))
      | ~ c_lessequals(X91,X90,tc_fun(X92,tc_bool)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_447])])]) ).

fof(c_0_684_685,plain,
    ! [X89,X90,X91,X92] :
      ( hBOOL(hAPP(X90,X89))
      | ~ c_lessequals(X91,X90,tc_fun(X92,tc_bool))
      | ~ hBOOL(hAPP(X91,X89)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_448])])]) ).

fof(c_0_685_686,plain,
    ! [X56,X57,X58] :
      ( ~ class_Orderings_Oorder(X58)
      | X57 = X56
      | ~ c_lessequals(X56,X57,X58)
      | ~ c_lessequals(X57,X56,X58) ),
    inference(variable_rename,[status(thm)],[c_0_449]) ).

fof(c_0_686_687,plain,
    ! [X56,X57,X58] :
      ( ~ class_Orderings_Oorder(X58)
      | X57 = X56
      | ~ c_lessequals(X56,X57,X58)
      | ~ c_lessequals(X57,X56,X58) ),
    inference(variable_rename,[status(thm)],[c_0_450]) ).

fof(c_0_687_688,plain,
    ! [X56,X57,X58] :
      ( ~ class_Orderings_Oorder(X58)
      | X57 = X56
      | ~ c_lessequals(X57,X56,X58)
      | ~ c_lessequals(X56,X57,X58) ),
    inference(variable_rename,[status(thm)],[c_0_451]) ).

fof(c_0_688_689,plain,
    ! [X74,X75,X76,X77,X78] :
      ( c_Expr_Oexp_OCast(X75,X77,X78) != c_Expr_Oexp_OCast(X74,X76,X78)
      | X75 = X74 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_452])])]) ).

fof(c_0_689_690,plain,
    ! [X74,X75,X76,X77,X78] :
      ( c_Expr_Oexp_OCast(X75,X77,X78) != c_Expr_Oexp_OCast(X74,X76,X78)
      | X77 = X76 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_453])])]) ).

fof(c_0_690_691,plain,
    ! [X74,X75,X76,X77,X78] :
      ( c_Expr_Oexp_OLAss(X77,X75,X78) != c_Expr_Oexp_OLAss(X76,X74,X78)
      | X75 = X74 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_454])])]) ).

fof(c_0_691_692,plain,
    ! [X74,X75,X76,X77,X78] :
      ( c_Expr_Oexp_OLAss(X77,X75,X78) != c_Expr_Oexp_OLAss(X76,X74,X78)
      | X77 = X76 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_455])])]) ).

fof(c_0_692_693,plain,
    ! [X40,X41,X42,X43,X44] :
      ( c_Expr_Oexp_OSeq(X43,X41,X44) != c_Expr_Oexp_OSeq(X42,X40,X44)
      | X41 = X40 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_456])])]) ).

fof(c_0_693_694,plain,
    ! [X40,X41,X42,X43,X44] :
      ( c_Expr_Oexp_OSeq(X43,X41,X44) != c_Expr_Oexp_OSeq(X42,X40,X44)
      | X43 = X42 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_457])])]) ).

fof(c_0_694_695,plain,
    ! [X54,X55,X56] :
      ( c_Relation_Orefl__on(X55,X54,X56)
      | ~ c_Equiv__Relations_Oequiv(X55,X54,X56) ),
    inference(variable_rename,[status(thm)],[c_0_458]) ).

fof(c_0_695_696,plain,
    ! [X56,X57,X58] :
      ( ~ class_Orderings_Olinorder(X58)
      | c_lessequals(X56,X57,X58)
      | c_lessequals(X57,X56,X58) ),
    inference(variable_rename,[status(thm)],[c_0_459]) ).

fof(c_0_696_697,plain,
    ! [X58,X59,X60] :
      ( hBOOL(hAPP(X59,X58))
      | ~ c_in(X58,X59,X60) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_460])])]) ).

fof(c_0_697_698,plain,
    ! [X58,X59,X60] :
      ( c_in(X58,X59,X60)
      | ~ hBOOL(hAPP(X59,X58)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_461])])]) ).

fof(c_0_698_699,plain,
    ! [X4,X5,X6] :
      ( X5 = X4
      | ~ c_fequal(X5,X4,X6) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_462])])]) ).

fof(c_0_699_700,plain,
    ! [X56,X57] :
      ( ~ class_Orderings_Oorder(X57)
      | c_lessequals(X56,X56,X57) ),
    inference(variable_rename,[status(thm)],[c_0_463]) ).

fof(c_0_700_701,plain,
    ! [X56,X57] :
      ( ~ class_Orderings_Opreorder(X57)
      | c_lessequals(X56,X56,X57) ),
    inference(variable_rename,[status(thm)],[c_0_464]) ).

fof(c_0_701_702,plain,
    ! [X44,X45,X46] :
      ( c_Objects_Ohext(X46,X44)
      | ~ c_Objects_Ohext(X45,X44)
      | ~ c_Objects_Ohext(X46,X45) ),
    inference(variable_rename,[status(thm)],[c_0_465]) ).

fof(c_0_702_703,plain,
    ! [X74,X75,X76] :
      ( c_Expr_Oexp_Othrow(X75,X76) != c_Expr_Oexp_Othrow(X74,X76)
      | X75 = X74 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_466])])]) ).

fof(c_0_703_704,plain,
    ! [X82,X83,X84] :
      ( c_Expr_Oexp_OVal(X83,X84) != c_Expr_Oexp_OVal(X82,X84)
      | X83 = X82 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_467])])]) ).

fof(c_0_704_705,plain,
    ! [X6,X7] :
      ( class_Orderings_Opreorder(tc_fun(X6,X7))
      | ~ class_Orderings_Opreorder(X7) ),
    inference(variable_rename,[status(thm)],[c_0_468]) ).

fof(c_0_705_706,plain,
    ! [X6,X7] :
      ( class_Orderings_Oorder(tc_fun(X6,X7))
      | ~ class_Orderings_Oorder(X7) ),
    inference(variable_rename,[status(thm)],[c_0_469]) ).

fof(c_0_706_707,plain,
    ! [X6,X7] :
      ( class_HOL_Oord(tc_fun(X6,X7))
      | ~ class_HOL_Oord(X7) ),
    inference(variable_rename,[status(thm)],[c_0_470]) ).

fof(c_0_707_708,plain,
    ! [X70,X71] :
      ( c_Type_Oty_OClass(X71) != c_Type_Oty_OClass(X70)
      | X71 = X70 ),
    inference(variable_rename,[status(thm)],[c_0_471]) ).

cnf(c_0_708_709,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X1,X9,X10,X6,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X6,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(split_conjunct,[status(thm)],[c_0_472]) ).

cnf(c_0_709_710,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X1,X9,X6,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X6,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(split_conjunct,[status(thm)],[c_0_473]) ).

cnf(c_0_710_711,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X1,X6,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X7,X8,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X6,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X7,X8,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(split_conjunct,[status(thm)],[c_0_474]) ).

cnf(c_0_711_712,plain,
    ( c_in(c_Pair(c_Pair(X1,c_Pair(X2,c_Map_Omap__add(X8,X3,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,c_Pair(X5,c_Map_Omap__add(X8,X6,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X7),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,c_Pair(X2,X3,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,c_Pair(X5,X6,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X7),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(split_conjunct,[status(thm)],[c_0_475]) ).

cnf(c_0_712_713,plain,
    ( c_in(c_Pair(c_Pair(X1,c_Pair(X2,c_Map_Omap__add(X8,X3,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,c_Pair(X5,c_Map_Omap__add(X8,X6,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,c_Pair(X2,X3,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,c_Pair(X5,X6,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(split_conjunct,[status(thm)],[c_0_476]) ).

cnf(c_0_713_714,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X8,X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X8,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(split_conjunct,[status(thm)],[c_0_477]) ).

cnf(c_0_714_715,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OTryCatch(X1,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OTryCatch(X3,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(split_conjunct,[status(thm)],[c_0_478]) ).

cnf(c_0_715_716,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X1,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAss(X3,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(split_conjunct,[status(thm)],[c_0_479]) ).

cnf(c_0_716_717,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OTryCatch(X1,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(split_conjunct,[status(thm)],[c_0_480]) ).

cnf(c_0_717_718,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X1,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(split_conjunct,[status(thm)],[c_0_481]) ).

cnf(c_0_718_719,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(split_conjunct,[status(thm)],[c_0_482]) ).

cnf(c_0_719_720,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCall(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCall(X3,X6,X7,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(split_conjunct,[status(thm)],[c_0_483]) ).

cnf(c_0_720_721,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OBinOp(X3,X6,X7,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(split_conjunct,[status(thm)],[c_0_484]) ).

cnf(c_0_721_722,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCond(X3,X6,X7,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(split_conjunct,[status(thm)],[c_0_485]) ).

cnf(c_0_722_723,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAcc(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAcc(X3,X6,X7,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(split_conjunct,[status(thm)],[c_0_486]) ).

cnf(c_0_723_724,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(split_conjunct,[status(thm)],[c_0_487]) ).

cnf(c_0_724_725,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(split_conjunct,[status(thm)],[c_0_488]) ).

cnf(c_0_725_726,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCall(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(split_conjunct,[status(thm)],[c_0_489]) ).

cnf(c_0_726_727,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAcc(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(split_conjunct,[status(thm)],[c_0_490]) ).

cnf(c_0_727_728,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X6,X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCast(X6,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(split_conjunct,[status(thm)],[c_0_491]) ).

cnf(c_0_728_729,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X6,X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OLAss(X6,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(split_conjunct,[status(thm)],[c_0_492]) ).

cnf(c_0_729_730,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X1,X6,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OSeq(X3,X6,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(split_conjunct,[status(thm)],[c_0_493]) ).

cnf(c_0_730_731,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X6,X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(split_conjunct,[status(thm)],[c_0_494]) ).

cnf(c_0_731_732,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X6,X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(split_conjunct,[status(thm)],[c_0_495]) ).

cnf(c_0_732_733,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X1,X6,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(split_conjunct,[status(thm)],[c_0_496]) ).

cnf(c_0_733_734,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_Othrow(X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(split_conjunct,[status(thm)],[c_0_497]) ).

cnf(c_0_734_735,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_Othrow(X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(split_conjunct,[status(thm)],[c_0_498]) ).

cnf(c_0_735_736,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X8,X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X8,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(split_conjunct,[status(thm)],[c_0_499]) ).

cnf(c_0_736_737,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OTryCatch(X1,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OTryCatch(X3,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(split_conjunct,[status(thm)],[c_0_500]) ).

cnf(c_0_737_738,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X1,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAss(X3,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(split_conjunct,[status(thm)],[c_0_501]) ).

cnf(c_0_738_739,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(split_conjunct,[status(thm)],[c_0_502]) ).

cnf(c_0_739_740,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCond(X3,X6,X7,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(split_conjunct,[status(thm)],[c_0_503]) ).

cnf(c_0_740_741,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAcc(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAcc(X3,X6,X7,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(split_conjunct,[status(thm)],[c_0_504]) ).

cnf(c_0_741_742,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCall(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCall(X3,X6,X7,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(split_conjunct,[status(thm)],[c_0_505]) ).

cnf(c_0_742_743,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OBinOp(X3,X6,X7,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(split_conjunct,[status(thm)],[c_0_506]) ).

cnf(c_0_743_744,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X6,X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCast(X6,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(split_conjunct,[status(thm)],[c_0_507]) ).

cnf(c_0_744_745,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X1,X6,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OSeq(X3,X6,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(split_conjunct,[status(thm)],[c_0_508]) ).

cnf(c_0_745_746,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X6,X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OLAss(X6,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(split_conjunct,[status(thm)],[c_0_509]) ).

cnf(c_0_746_747,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_Othrow(X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(split_conjunct,[status(thm)],[c_0_510]) ).

cnf(c_0_747_748,plain,
    ( c_TypeRel_Ohas__field(X1,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X6,X3,X5,X1,X4,X2,X7),X5,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X6,X3,X5,X1,X4,X2,X7),X6,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | c_WellTypeRT_OWTrt(X1,X2,X3,X7,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(X3,X1,X2,X7))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(split_conjunct,[status(thm)],[c_0_511]) ).

cnf(c_0_748_749,plain,
    ( c_TypeRel_Ohas__field(X1,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X6,X3,X5,X1,X4,X2,X7),X5,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X6,X3,X5,X1,X4,X2,X7),X6,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(split_conjunct,[status(thm)],[c_0_512]) ).

cnf(c_0_749_750,plain,
    ( c_TypeRel_Ohas__field(X1,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X6,X3,X5,X1,X4,X2,X7),X5,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X6,X3,X5,X1,X4,X2,X7),X6,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | X8 = c_Type_Oty_OVoid
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(split_conjunct,[status(thm)],[c_0_513]) ).

cnf(c_0_750_751,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X6,X3,X5,X1,X4,X2,X7)))
    | c_WellTypeRT_OWTrt(X1,X2,X3,X7,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(X3,X1,X2,X7))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(split_conjunct,[status(thm)],[c_0_514]) ).

cnf(c_0_751_752,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X6,X3,X5,X1,X4,X2,X7)))
    | c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(split_conjunct,[status(thm)],[c_0_515]) ).

cnf(c_0_752_753,plain,
    ( c_TypeRel_Owiden(X1,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X6,X3,X5,X1,X4,X2,X7),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X6,X3,X5,X1,X4,X2,X7),tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | c_WellTypeRT_OWTrt(X1,X2,X3,X7,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(X3,X1,X2,X7))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(split_conjunct,[status(thm)],[c_0_516]) ).

cnf(c_0_753_754,plain,
    ( c_TypeRel_Owiden(X1,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X6,X3,X5,X1,X4,X2,X7),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X6,X3,X5,X1,X4,X2,X7),tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(split_conjunct,[status(thm)],[c_0_517]) ).

cnf(c_0_754_755,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X6,X3,X5,X1,X4,X2,X7)))
    | X8 = c_Type_Oty_OVoid
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(split_conjunct,[status(thm)],[c_0_518]) ).

cnf(c_0_755_756,plain,
    ( c_TypeRel_Owiden(X1,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X6,X3,X5,X1,X4,X2,X7),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X6,X3,X5,X1,X4,X2,X7),tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | X8 = c_Type_Oty_OVoid
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(split_conjunct,[status(thm)],[c_0_519]) ).

cnf(c_0_756_757,plain,
    ( c_Conform_Olconf(X7,X5,X6,X8,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_in(c_Pair(c_Pair(X1,c_Pair(X2,X3,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,c_Pair(X5,X6,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_WellTypeRT_OWTrt(X7,X2,X8,X1,X9)
    | ~ c_Conform_Olconf(X7,X2,X3,X8,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    inference(split_conjunct,[status(thm)],[c_0_520]) ).

cnf(c_0_757_758,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1(X6,X3,X5,X1,X7,X4,X2)))
    | c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAcc(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    inference(split_conjunct,[status(thm)],[c_0_521]) ).

cnf(c_0_758_759,plain,
    ( c_Conform_Ohconf(X7,X5,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_in(c_Pair(c_Pair(X1,c_Pair(X2,X3,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,c_Pair(X5,X6,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_WellTypeRT_OWTrt(X7,X2,X8,X1,X9)
    | ~ c_Conform_Ohconf(X7,X2,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    inference(split_conjunct,[status(thm)],[c_0_522]) ).

cnf(c_0_759_760,plain,
    ( c_lessequals(c_Map_Odom(X3,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Map_Odom(X6,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | ~ c_in(c_Pair(c_Pair(X1,c_Pair(X2,X3,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,c_Pair(X5,X6,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(split_conjunct,[status(thm)],[c_0_523]) ).

cnf(c_0_760_761,plain,
    ( c_Objects_Ohext(X2,X5)
    | ~ c_in(c_Pair(c_Pair(X1,c_Pair(X2,X3,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,c_Pair(X5,X6,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(split_conjunct,[status(thm)],[c_0_524]) ).

cnf(c_0_761_762,plain,
    ( c_BigStep_Oeval(X1,X2,X3,X6,X7)
    | ~ c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_in(c_Pair(c_Pair(X2,X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X1),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_BigStep_Oeval(X1,X4,X5,X6,X7) ),
    inference(split_conjunct,[status(thm)],[c_0_525]) ).

cnf(c_0_762_763,plain,
    ( c_BigStep_Oeval(X1,X2,X3,X6,X7)
    | ~ c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_in(c_Pair(c_Pair(X2,X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X1),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_BigStep_Oeval(X1,X4,X5,X6,X7) ),
    inference(split_conjunct,[status(thm)],[c_0_526]) ).

cnf(c_0_763_764,plain,
    ( c_TypeSafe__Mirabelle_Osconf(X5,X6,X4)
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_WellTypeRT_OWTrt(X5,c_State_Ohp(X2),X6,X1,X7)
    | ~ c_TypeSafe__Mirabelle_Osconf(X5,X6,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_527]) ).

cnf(c_0_764_765,plain,
    ( c_TypeRel_Ohas__field(X1,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1(X6,X3,X5,X1,X7,X4,X2),X5,X7,X6,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAcc(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    inference(split_conjunct,[status(thm)],[c_0_528]) ).

cnf(c_0_765_766,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X7,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X6,X3,X5,X1,X4,X2,X7))
    | c_WellTypeRT_OWTrt(X1,X2,X3,X7,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(X3,X1,X2,X7))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(split_conjunct,[status(thm)],[c_0_529]) ).

cnf(c_0_766_767,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X7,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X6,X3,X5,X1,X4,X2,X7))
    | c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(split_conjunct,[status(thm)],[c_0_530]) ).

cnf(c_0_767_768,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X7,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X6,X3,X5,X1,X4,X2,X7))
    | X8 = c_Type_Oty_OVoid
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(split_conjunct,[status(thm)],[c_0_531]) ).

cnf(c_0_768_769,plain,
    ( c_in(c_Pair(c_Pair(X2,X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X1),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_BigStep_Oeval(X1,X2,X3,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_532]) ).

cnf(c_0_769_770,plain,
    ( c_TypeRel_Osees__field(X1,c_WellType_Osko__WellType__XWT__elim__cases__8__1(X5,X2,X4,X1,X3,X6),X4,c_WellType_Osko__WellType__XWT__elim__cases__8__2(X5,X2,X4,X1,X3,X6),X5,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OFAss(X3,X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    inference(split_conjunct,[status(thm)],[c_0_533]) ).

cnf(c_0_770_771,plain,
    ( c_TypeRel_Owiden(X1,c_WellType_Osko__WellType__XWT__elim__cases__8__3(X5,X2,X4,X1,X3,X6),c_WellType_Osko__WellType__XWT__elim__cases__8__2(X5,X2,X4,X1,X3,X6),tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OFAss(X3,X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    inference(split_conjunct,[status(thm)],[c_0_534]) ).

cnf(c_0_771_772,plain,
    ( c_WellType_OWT(X1,X2,X3,c_Type_Oty_OClass(c_WellType_Osko__WellType__XWT__elim__cases__8__1(X5,X2,X4,X1,X3,X6)))
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OFAss(X3,X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    inference(split_conjunct,[status(thm)],[c_0_535]) ).

cnf(c_0_772_773,plain,
    ( c_WellType_OWT(X1,X2,X3,c_Type_Oty_OClass(c_WellType_Osko__WellType__XWT__elim__cases__7__1(X5,X2,X4,X1,X6,X3)))
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OFAcc(X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6) ),
    inference(split_conjunct,[status(thm)],[c_0_536]) ).

cnf(c_0_773_774,plain,
    ( c_TypeRel_Osees__field(X1,c_WellType_Osko__WellType__XWT__elim__cases__7__1(X5,X2,X4,X1,X6,X3),X4,X6,X5,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OFAcc(X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6) ),
    inference(split_conjunct,[status(thm)],[c_0_537]) ).

cnf(c_0_774_775,plain,
    ( X7 = X4
    | ~ c_TypeRel_Osees__field(X1,X2,X3,X4,X5,X6)
    | ~ c_TypeRel_Osees__field(X1,X2,X3,X7,X8,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_538]) ).

cnf(c_0_775_776,plain,
    ( X8 = X5
    | ~ c_TypeRel_Osees__field(X1,X2,X3,X4,X5,X6)
    | ~ c_TypeRel_Osees__field(X1,X2,X3,X7,X8,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_539]) ).

cnf(c_0_776_777,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X6,X8,X9,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OClass(X5))
    | ~ c_TypeRel_Ohas__field(X1,X5,X6,X7,X8,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X9,X10)
    | ~ c_TypeRel_Owiden(X1,X10,X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    inference(split_conjunct,[status(thm)],[c_0_540]) ).

cnf(c_0_777_778,plain,
    ( c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X6,X8,X9,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X4,c_Type_Oty_OClass(X5))
    | ~ c_TypeRel_Ohas__field(X1,X5,X6,X7,X8,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X9,X10)
    | ~ c_TypeRel_Owiden(X1,X10,X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    inference(split_conjunct,[status(thm)],[c_0_541]) ).

cnf(c_0_778_779,plain,
    ( c_WellType_OWT(X1,X2,X6,c_WellType_Osko__WellType__XWT__elim__cases__8__3(X5,X2,X4,X1,X3,X6))
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OFAss(X3,X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    inference(split_conjunct,[status(thm)],[c_0_542]) ).

cnf(c_0_779_780,plain,
    ( c_TypeRel_Ohas__field(X1,X2,X3,X4,X5,X6)
    | ~ c_TypeRel_Osees__field(X1,X2,X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_543]) ).

cnf(c_0_780_781,plain,
    ( c_TypeRel_Osees__field(X1,X5,X3,X4,X5,X6)
    | ~ c_TypeRel_Osees__field(X1,X2,X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_544]) ).

cnf(c_0_781_782,plain,
    ( c_WellType_OWT(X1,X2,c_Expr_Oexp_OFAss(X3,X5,X7,X8,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
    | ~ c_WellType_OWT(X1,X2,X3,c_Type_Oty_OClass(X4))
    | ~ c_TypeRel_Osees__field(X1,X4,X5,X6,X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellType_OWT(X1,X2,X8,X9)
    | ~ c_TypeRel_Owiden(X1,X9,X6,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    inference(split_conjunct,[status(thm)],[c_0_545]) ).

cnf(c_0_782_783,plain,
    ( c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OFAcc(X4,X6,X8,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X4,c_Type_Oty_OClass(X5))
    | ~ c_TypeRel_Ohas__field(X1,X5,X6,X7,X8,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    inference(split_conjunct,[status(thm)],[c_0_546]) ).

cnf(c_0_783_784,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAcc(X4,X6,X8,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OClass(X5))
    | ~ c_TypeRel_Ohas__field(X1,X5,X6,X7,X8,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    inference(split_conjunct,[status(thm)],[c_0_547]) ).

cnf(c_0_784_785,plain,
    ( c_WellType_OWT(X1,X2,c_Expr_Oexp_OFAcc(X3,X5,X7,tc_List_Olist(tc_String_Ochar)),X6)
    | ~ c_WellType_OWT(X1,X2,X3,c_Type_Oty_OClass(X4))
    | ~ c_TypeRel_Osees__field(X1,X4,X5,X6,X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    inference(split_conjunct,[status(thm)],[c_0_548]) ).

cnf(c_0_785_786,plain,
    ( c_lessequals(c_Map_Odom(X4,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Map_Odom(X7,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | ~ c_BigStep_Oevals(X1,X2,c_Pair(X3,X4,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),X5,c_Pair(X6,X7,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
    inference(split_conjunct,[status(thm)],[c_0_549]) ).

cnf(c_0_786_787,plain,
    ( c_lessequals(c_Map_Odom(X4,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Map_Odom(X7,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | ~ c_BigStep_Oeval(X1,X2,c_Pair(X3,X4,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),X5,c_Pair(X6,X7,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
    inference(split_conjunct,[status(thm)],[c_0_550]) ).

cnf(c_0_787_788,plain,
    ( c_Objects_Ohext(X3,X6)
    | ~ c_BigStep_Oevals(X1,X2,c_Pair(X3,X4,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),X5,c_Pair(X6,X7,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
    inference(split_conjunct,[status(thm)],[c_0_551]) ).

cnf(c_0_788_789,plain,
    ( c_Objects_Ohext(X3,X6)
    | ~ c_BigStep_Oeval(X1,X2,c_Pair(X3,X4,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),X5,c_Pair(X6,X7,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
    inference(split_conjunct,[status(thm)],[c_0_552]) ).

cnf(c_0_789_790,plain,
    ( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,X1,v_e_Ha____,v_sko__local__XFAssRed1__Xhyps__2__1(X1,v_P,X2,v_e_Ha____,v_h_Ha____))
    | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
    | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X1,v_ea____,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_553]) ).

cnf(c_0_790_791,plain,
    ( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,X1,v_e_Ha____,v_sko__local__XFAssRed1__2__1(X1,v_P,X2,v_e_Ha____,v_h_Ha____))
    | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
    | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X1,v_ea____,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_554]) ).

cnf(c_0_791_792,plain,
    ( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,X1,v_e_Ha____,v_sko__local__XIH__1(X1,v_P,X2,v_e_Ha____,v_h_Ha____))
    | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
    | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X1,v_ea____,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_555]) ).

cnf(c_0_792_793,plain,
    ( c_TypeRel_Owiden(v_P,v_sko__local__XIH__1(X1,v_P,X2,v_e_Ha____,v_h_Ha____),X2,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
    | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X1,v_ea____,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_556]) ).

cnf(c_0_793_794,plain,
    ( c_TypeRel_Owiden(v_P,v_sko__local__XFAssRed1__Xhyps__2__1(X1,v_P,X2,v_e_Ha____,v_h_Ha____),X2,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
    | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X1,v_ea____,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_557]) ).

cnf(c_0_794_795,plain,
    ( c_TypeRel_Owiden(v_P,v_sko__local__XFAssRed1__2__1(X1,v_P,X2,v_e_Ha____,v_h_Ha____),X2,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
    | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X1,v_ea____,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_558]) ).

cnf(c_0_795_796,plain,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OFAss(X2,X9,X10,X6,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8)
    | ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_OVal(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_BigStep_Oeval(X1,X6,X5,c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(split_conjunct,[status(thm)],[c_0_559]) ).

cnf(c_0_796_797,plain,
    ( c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X7,X8,X5,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X4,c_Type_Oty_ONT)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_560]) ).

cnf(c_0_797_798,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X7,X8,X5,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_561]) ).

cnf(c_0_798_799,plain,
    ( X8 = c_Type_Oty_OVoid
    | c_WellTypeRT_OWTrt(X1,X2,X3,X7,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(X3,X1,X2,X7))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(split_conjunct,[status(thm)],[c_0_562]) ).

cnf(c_0_799_800,plain,
    ( X8 = c_Type_Oty_OVoid
    | c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(split_conjunct,[status(thm)],[c_0_563]) ).

cnf(c_0_800,plain,
    ( c_in(c_Pair(X1,X5,X3,X3),X7,tc_prod(X3,X3))
    | c_in(c_Pair(X2,X6,X4,X4),X8,tc_prod(X4,X4))
    | ~ c_in(c_Pair(c_Pair(X1,X2,X3,X4),c_Pair(X5,X6,X3,X4),tc_prod(X3,X4),tc_prod(X3,X4)),c_Wellfounded_Olex__prod(X7,X8,X3,X4),tc_prod(tc_prod(X3,X4),tc_prod(X3,X4))) ),
    inference(split_conjunct,[status(thm)],[c_0_564]) ).

cnf(c_0_801,plain,
    ( X8 = c_Type_Oty_OVoid
    | X8 = c_Type_Oty_OVoid
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(split_conjunct,[status(thm)],[c_0_565]) ).

cnf(c_0_802,plain,
    ( c_in(c_Pair(X1,X5,X3,X3),X7,tc_prod(X3,X3))
    | X1 = X5
    | ~ c_in(c_Pair(c_Pair(X1,X2,X3,X4),c_Pair(X5,X6,X3,X4),tc_prod(X3,X4),tc_prod(X3,X4)),c_Wellfounded_Olex__prod(X7,X8,X3,X4),tc_prod(tc_prod(X3,X4),tc_prod(X3,X4))) ),
    inference(split_conjunct,[status(thm)],[c_0_566]) ).

cnf(c_0_803,plain,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OBinOp(X2,X9,X6,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8)
    | ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_OVal(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_BigStep_Oeval(X1,X6,X5,c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(split_conjunct,[status(thm)],[c_0_567]) ).

cnf(c_0_804,plain,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OTryCatch(X2,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_OVal(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_OVal(X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    inference(split_conjunct,[status(thm)],[c_0_568]) ).

cnf(c_0_805,plain,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OFAss(X2,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    inference(split_conjunct,[status(thm)],[c_0_569]) ).

cnf(c_0_806,plain,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OSeq(X2,X6,tc_List_Olist(tc_String_Ochar)),X3,X7,X8)
    | ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_OVal(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_BigStep_Oeval(X1,X6,X5,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_570]) ).

cnf(c_0_807,plain,
    ( c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OSeq(X4,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X4,X5)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X6,X7) ),
    inference(split_conjunct,[status(thm)],[c_0_571]) ).

cnf(c_0_808,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OSeq(X4,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X6,X7) ),
    inference(split_conjunct,[status(thm)],[c_0_572]) ).

cnf(c_0_809,plain,
    ( c_WellType_OWT(X1,X2,X3,X7)
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OTryCatch(X3,X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    inference(split_conjunct,[status(thm)],[c_0_573]) ).

cnf(c_0_810,plain,
    ( c_in(c_Pair(c_Pair(X2,X3,X7,X5),c_Pair(X2,X4,X7,X5),tc_prod(X7,X5),tc_prod(X7,X5)),c_Recdef_Osame__fst(X1,X6,X7,X5),tc_prod(tc_prod(X7,X5),tc_prod(X7,X5)))
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_in(c_Pair(X3,X4,X5,X5),hAPP(X6,X2),tc_prod(X5,X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_574]) ).

cnf(c_0_811,plain,
    ( X7 = c_Type_Oty_OVoid
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OFAss(X3,X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    inference(split_conjunct,[status(thm)],[c_0_575]) ).

cnf(c_0_812,plain,
    ( c_in(c_Pair(c_Pair(X5,X1,X6,X3),c_Pair(X5,X2,X6,X3),tc_prod(X6,X3),tc_prod(X6,X3)),c_Wellfounded_Olex__prod(X7,X4,X6,X3),tc_prod(tc_prod(X6,X3),tc_prod(X6,X3)))
    | ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_576]) ).

cnf(c_0_813,plain,
    ( c_in(c_Pair(c_Pair(X1,X5,X3,X6),c_Pair(X2,X7,X3,X6),tc_prod(X3,X6),tc_prod(X3,X6)),c_Wellfounded_Olex__prod(X4,X8,X3,X6),tc_prod(tc_prod(X3,X6),tc_prod(X3,X6)))
    | ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_577]) ).

cnf(c_0_814,plain,
    ( X1 = X2
    | c_Expr_Oexp_OTryCatch(X3,X4,X5,X1,X6) != c_Expr_Oexp_OTryCatch(X7,X8,X9,X2,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_578]) ).

cnf(c_0_815,plain,
    ( X1 = X2
    | c_Expr_Oexp_OTryCatch(X3,X4,X1,X5,X6) != c_Expr_Oexp_OTryCatch(X7,X8,X2,X9,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_579]) ).

cnf(c_0_816,plain,
    ( X1 = X2
    | c_Expr_Oexp_OTryCatch(X3,X1,X4,X5,X6) != c_Expr_Oexp_OTryCatch(X7,X2,X8,X9,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_580]) ).

cnf(c_0_817,plain,
    ( X1 = X2
    | c_Expr_Oexp_OTryCatch(X1,X3,X4,X5,X6) != c_Expr_Oexp_OTryCatch(X2,X7,X8,X9,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_581]) ).

cnf(c_0_818,plain,
    ( X1 = X2
    | c_Expr_Oexp_OFAss(X3,X4,X5,X1,X6) != c_Expr_Oexp_OFAss(X7,X8,X9,X2,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_582]) ).

cnf(c_0_819,plain,
    ( X1 = X2
    | c_Expr_Oexp_OFAss(X3,X4,X1,X5,X6) != c_Expr_Oexp_OFAss(X7,X8,X2,X9,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_583]) ).

cnf(c_0_820,plain,
    ( X1 = X2
    | c_Expr_Oexp_OFAss(X3,X1,X4,X5,X6) != c_Expr_Oexp_OFAss(X7,X2,X8,X9,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_584]) ).

cnf(c_0_821,plain,
    ( X1 = X2
    | c_Expr_Oexp_OFAss(X1,X3,X4,X5,X6) != c_Expr_Oexp_OFAss(X2,X7,X8,X9,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_585]) ).

cnf(c_0_822,plain,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OCall(X2,X6,X7,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    inference(split_conjunct,[status(thm)],[c_0_586]) ).

cnf(c_0_823,plain,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OCond(X2,X6,X7,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    inference(split_conjunct,[status(thm)],[c_0_587]) ).

cnf(c_0_824,plain,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OBinOp(X2,X6,X7,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    inference(split_conjunct,[status(thm)],[c_0_588]) ).

cnf(c_0_825,plain,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OFAcc(X2,X6,X7,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    inference(split_conjunct,[status(thm)],[c_0_589]) ).

cnf(c_0_826,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAcc(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT) ),
    inference(split_conjunct,[status(thm)],[c_0_590]) ).

cnf(c_0_827,plain,
    ( c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OFAcc(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X4,c_Type_Oty_ONT) ),
    inference(split_conjunct,[status(thm)],[c_0_591]) ).

cnf(c_0_828,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,X6,X4,X5)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
    | ~ c_Map_Omap__le(X3,X6,tc_List_Olist(tc_String_Ochar),tc_Type_Oty) ),
    inference(split_conjunct,[status(thm)],[c_0_592]) ).

cnf(c_0_829,plain,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OSeq(X2,X6,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    inference(split_conjunct,[status(thm)],[c_0_593]) ).

cnf(c_0_830,plain,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OLAss(X6,X2,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    inference(split_conjunct,[status(thm)],[c_0_594]) ).

cnf(c_0_831,plain,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OCast(X6,X2,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    inference(split_conjunct,[status(thm)],[c_0_595]) ).

cnf(c_0_832,plain,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    inference(split_conjunct,[status(thm)],[c_0_596]) ).

cnf(c_0_833,plain,
    ( c_Conform_Olconf(X1,X6,X3,X4,X5)
    | ~ c_Conform_Olconf(X1,X2,X3,X4,X5)
    | ~ c_Objects_Ohext(X2,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_597]) ).

cnf(c_0_834,plain,
    ( c_WellTypeRT_OWTrt(X1,X6,X3,X4,X5)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
    | ~ c_Objects_Ohext(X2,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_598]) ).

cnf(c_0_835,plain,
    ( c_Progress_OWTrt_H(X1,X2,X3,X4,X5)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_599]) ).

cnf(c_0_836,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_600]) ).

cnf(c_0_837,plain,
    ( c_Map_Omap__le(c_Map_Omap__add(X1,X5,X3,X4),X2,X3,X4)
    | ~ c_Map_Omap__le(X1,X2,X3,X4)
    | ~ c_Map_Omap__le(X5,X2,X3,X4)
    | ~ c_Map_Omap__le(X1,c_Map_Omap__add(X1,X5,X3,X4),X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_601]) ).

cnf(c_0_838,plain,
    ( c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X2,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_602]) ).

cnf(c_0_839,plain,
    ( c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(X2,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_603]) ).

cnf(c_0_840,plain,
    ( c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X2,X5,X3,X3),X4,tc_prod(X3,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_604]) ).

cnf(c_0_841,plain,
    ( X6 = c_Type_Oty_OClass(X4)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCast(X4,X5,tc_List_Olist(tc_String_Ochar)),X6) ),
    inference(split_conjunct,[status(thm)],[c_0_605]) ).

cnf(c_0_842,plain,
    ( X6 = c_Type_Oty_OVoid
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OLAss(X4,X5,tc_List_Olist(tc_String_Ochar)),X6) ),
    inference(split_conjunct,[status(thm)],[c_0_606]) ).

cnf(c_0_843,plain,
    ( X6 = c_Type_Oty_OVoid
    | ~ c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OLAss(X4,X5,tc_List_Olist(tc_String_Ochar)),X6) ),
    inference(split_conjunct,[status(thm)],[c_0_607]) ).

cnf(c_0_844,plain,
    ( X4 = c_Expr_Oexp_OVal(X2,tc_List_Olist(tc_String_Ochar))
    | ~ c_BigStep_Oeval(X1,c_Expr_Oexp_OVal(X2,tc_List_Olist(tc_String_Ochar)),X3,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_608]) ).

cnf(c_0_845,plain,
    ( X5 = X3
    | ~ c_BigStep_Oeval(X1,c_Expr_Oexp_OVal(X2,tc_List_Olist(tc_String_Ochar)),X3,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_609]) ).

cnf(c_0_846,plain,
    ( v_thesis____
    | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_610]) ).

cnf(c_0_847,plain,
    ( c_in(X2,hAPP(X6,X1),X4)
    | ~ c_in(c_Pair(X1,X2,X3,X4),c_Product__Type_OSigma(X5,X6,X3,X4),tc_prod(X3,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_611]) ).

cnf(c_0_848,plain,
    ( c_in(X1,X5,X3)
    | ~ c_in(c_Pair(X1,X2,X3,X4),c_Product__Type_OSigma(X5,X6,X3,X4),tc_prod(X3,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_612]) ).

cnf(c_0_849,plain,
    ( c_Map_Omap__add(X1,X2,X3,X4) = c_Map_Omap__add(X2,X1,X3,X4)
    | ~ c_Map_Omap__le(X1,c_Map_Omap__add(X1,X2,X3,X4),X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_613]) ).

cnf(c_0_850,plain,
    ( c_WellTypeRT_OWTrt(X1,X5,X2,X3,X4)
    | ~ c_WellType_OWT(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_614]) ).

cnf(c_0_851,plain,
    ( c_in(X4,c_Relation_OImage(X6,X2,X3,X5),X5)
    | ~ c_in(X1,X2,X3)
    | ~ c_in(c_Pair(X1,X4,X3,X5),X6,tc_prod(X3,X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_615]) ).

cnf(c_0_852,plain,
    ( c_in(X4,c_Relation_OImage(X6,X2,X3,X5),X5)
    | ~ c_in(X1,X2,X3)
    | ~ c_in(c_Pair(X1,X4,X3,X5),X6,tc_prod(X3,X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_616]) ).

cnf(c_0_853,plain,
    ( c_Map_Omap__le(X1,c_Map_Omap__add(X1,X2,X3,X4),X3,X4)
    | c_Map_Omap__add(X1,X2,X3,X4) != c_Map_Omap__add(X2,X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_617]) ).

cnf(c_0_854,plain,
    ( c_Map_Omap__le(X2,X5,X3,X4)
    | ~ c_Map_Omap__le(c_Map_Omap__add(X1,X2,X3,X4),X5,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_618]) ).

cnf(c_0_855,plain,
    ( X4 = X5
    | c_in(c_Pair(X4,X5,X3,X3),X2,tc_prod(X3,X3))
    | c_in(c_Pair(X5,X4,X3,X3),X2,tc_prod(X3,X3))
    | ~ c_Relation_Ototal__on(X1,X2,X3)
    | ~ c_in(X4,X1,X3)
    | ~ c_in(X5,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_619]) ).

cnf(c_0_856,plain,
    ( c_in(c_Pair(X1,X4,X3,X6),c_Product__Type_OSigma(X2,X5,X3,X6),tc_prod(X3,X6))
    | ~ c_in(X1,X2,X3)
    | ~ c_in(X4,hAPP(X5,X1),X6) ),
    inference(split_conjunct,[status(thm)],[c_0_620]) ).

cnf(c_0_857,plain,
    ( c_in(c_Pair(X1,X4,X3,X6),c_Product__Type_OSigma(X2,X5,X3,X6),tc_prod(X3,X6))
    | ~ c_in(X1,X2,X3)
    | ~ c_in(X4,hAPP(X5,X1),X6) ),
    inference(split_conjunct,[status(thm)],[c_0_621]) ).

cnf(c_0_858,plain,
    ( c_in(X4,c_Wellfounded_Oacc(X2,X3),X3)
    | ~ c_in(X1,c_Wellfounded_Oacc(X2,X3),X3)
    | ~ c_in(c_Pair(X4,X1,X3,X3),c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_622]) ).

cnf(c_0_859,plain,
    ( c_in(X1,c_Wellfounded_Oacc(X4,X3),X3)
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(X2,c_Wellfounded_Oacc(X4,X3),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_623]) ).

cnf(c_0_860,plain,
    ( c_WellType_OWT(X1,X2,c_Expr_Oexp_OSeq(X3,X5,tc_List_Olist(tc_String_Ochar)),X6)
    | ~ c_WellType_OWT(X1,X2,X3,X4)
    | ~ c_WellType_OWT(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_624]) ).

cnf(c_0_861,plain,
    ( c_in(X4,c_Wellfounded_Oacc(X2,X3),X3)
    | ~ c_in(X1,c_Wellfounded_Oacc(X2,X3),X3)
    | ~ c_in(c_Pair(X4,X1,X3,X3),X2,tc_prod(X3,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_625]) ).

cnf(c_0_862,plain,
    ( c_in(X4,c_Wellfounded_Oacc(X2,X3),X3)
    | ~ c_in(X1,c_Wellfounded_Oacc(X2,X3),X3)
    | ~ c_in(c_Pair(X4,X1,X3,X3),X2,tc_prod(X3,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_626]) ).

cnf(c_0_863,plain,
    ( c_in(X1,c_Relation_ODomain(X2,X3,X3),X3)
    | X1 = X4
    | ~ c_in(c_Pair(X1,X4,X3,X3),c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_627]) ).

cnf(c_0_864,plain,
    ( c_in(X2,c_Relation_ORange(X5,X3,X4),X4)
    | ~ c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_628]) ).

cnf(c_0_865,plain,
    ( c_in(X2,c_Relation_ORange(X5,X3,X4),X4)
    | ~ c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_629]) ).

cnf(c_0_866,plain,
    ( c_in(X1,c_Relation_ODomain(X5,X3,X4),X3)
    | ~ c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_630]) ).

cnf(c_0_867,plain,
    ( c_in(X1,c_Relation_ODomain(X5,X3,X4),X3)
    | ~ c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_631]) ).

cnf(c_0_868,plain,
    ( c_in(X4,X1,X3)
    | ~ c_Equiv__Relations_Oequiv(X1,X2,X3)
    | ~ c_in(c_Pair(X4,X5,X3,X3),X2,tc_prod(X3,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_632]) ).

cnf(c_0_869,plain,
    ( c_in(X5,X1,X3)
    | ~ c_Equiv__Relations_Oequiv(X1,X2,X3)
    | ~ c_in(c_Pair(X4,X5,X3,X3),X2,tc_prod(X3,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_633]) ).

cnf(c_0_870,plain,
    ( c_in(X5,X1,X3)
    | ~ c_Relation_Orefl__on(X1,X2,X3)
    | ~ c_in(c_Pair(X4,X5,X3,X3),X2,tc_prod(X3,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_634]) ).

cnf(c_0_871,plain,
    ( c_in(X4,X1,X3)
    | ~ c_Relation_Orefl__on(X1,X2,X3)
    | ~ c_in(c_Pair(X4,X5,X3,X3),X2,tc_prod(X3,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_635]) ).

cnf(c_0_872,plain,
    ( c_WellType_OWT(X1,X5,X3,X4)
    | ~ c_WellType_OWT(X1,X2,X3,X4)
    | ~ c_Map_Omap__le(X2,X5,tc_List_Olist(tc_String_Ochar),tc_Type_Oty) ),
    inference(split_conjunct,[status(thm)],[c_0_636]) ).

cnf(c_0_873,plain,
    ( c_TypeRel_Owiden(X1,X2,X5,X4)
    | ~ c_TypeRel_Owiden(X1,X2,X3,X4)
    | ~ c_TypeRel_Owiden(X1,X3,X5,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_637]) ).

cnf(c_0_874,plain,
    ( c_Map_Omap__le(X1,X5,X3,X4)
    | ~ c_Map_Omap__le(X1,X2,X3,X4)
    | ~ c_Map_Omap__le(X2,X5,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_638]) ).

cnf(c_0_875,plain,
    ( c_in(X1,X4,X3)
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Relation_OId__on(X4,X3),tc_prod(X3,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_639]) ).

cnf(c_0_876,plain,
    ( X1 = X2
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Relation_OId__on(X4,X3),tc_prod(X3,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_640]) ).

cnf(c_0_877,plain,
    ( X2 = c_Type_Oty_ONT
    | X2 = c_Type_Oty_OClass(c_TypeRel_Osko__TypeRel__Xwiden__Class__1__1(X3,X1,X2,X4))
    | ~ c_TypeRel_Owiden(X1,X2,c_Type_Oty_OClass(X3),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_641]) ).

cnf(c_0_878,plain,
    ( X1 = X2
    | ~ c_Map_Omap__le(X1,X2,X3,X4)
    | ~ c_Map_Omap__le(X2,X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_642]) ).

cnf(c_0_879,plain,
    ( X1 = X2
    | c_Expr_Oexp_OCall(X1,X3,X4,X5) != c_Expr_Oexp_OCall(X2,X6,X7,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_643]) ).

cnf(c_0_880,plain,
    ( X1 = X2
    | c_Expr_Oexp_OCall(X3,X1,X4,X5) != c_Expr_Oexp_OCall(X6,X2,X7,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_644]) ).

cnf(c_0_881,plain,
    ( X1 = X2
    | c_Expr_Oexp_OCall(X3,X4,X1,X5) != c_Expr_Oexp_OCall(X6,X7,X2,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_645]) ).

cnf(c_0_882,plain,
    ( X1 = X2
    | c_Expr_Oexp_OCond(X3,X4,X1,X5) != c_Expr_Oexp_OCond(X6,X7,X2,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_646]) ).

cnf(c_0_883,plain,
    ( X1 = X2
    | c_Expr_Oexp_OCond(X3,X1,X4,X5) != c_Expr_Oexp_OCond(X6,X2,X7,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_647]) ).

cnf(c_0_884,plain,
    ( X1 = X2
    | c_Expr_Oexp_OCond(X1,X3,X4,X5) != c_Expr_Oexp_OCond(X2,X6,X7,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_648]) ).

cnf(c_0_885,plain,
    ( X1 = X2
    | c_Expr_Oexp_OBinOp(X3,X4,X1,X5) != c_Expr_Oexp_OBinOp(X6,X7,X2,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_649]) ).

cnf(c_0_886,plain,
    ( X1 = X2
    | c_Expr_Oexp_OBinOp(X3,X1,X4,X5) != c_Expr_Oexp_OBinOp(X6,X2,X7,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_650]) ).

cnf(c_0_887,plain,
    ( X1 = X2
    | c_Expr_Oexp_OBinOp(X1,X3,X4,X5) != c_Expr_Oexp_OBinOp(X2,X6,X7,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_651]) ).

cnf(c_0_888,plain,
    ( X1 = X2
    | c_Expr_Oexp_OFAcc(X1,X3,X4,X5) != c_Expr_Oexp_OFAcc(X2,X6,X7,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_652]) ).

cnf(c_0_889,plain,
    ( X1 = X2
    | c_Expr_Oexp_OFAcc(X3,X1,X4,X5) != c_Expr_Oexp_OFAcc(X6,X2,X7,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_653]) ).

cnf(c_0_890,plain,
    ( X1 = X2
    | c_Expr_Oexp_OFAcc(X3,X4,X1,X5) != c_Expr_Oexp_OFAcc(X6,X7,X2,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_654]) ).

cnf(c_0_891,plain,
    ( X1 = X2
    | c_Pair(X1,X3,X4,X5) != c_Pair(X2,X6,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_655]) ).

cnf(c_0_892,plain,
    ( X1 = X2
    | c_Pair(X3,X1,X4,X5) != c_Pair(X6,X2,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_656]) ).

cnf(c_0_893,plain,
    ( hAPP(c_Map_Omap__add(X5,X2,X3,X4),X1) = hAPP(X2,X1)
    | ~ c_in(X1,c_Map_Odom(X2,X3,X4),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_657]) ).

cnf(c_0_894,plain,
    ( c_in(c_Pair(X1,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
    | c_in(X1,c_Relation_ODomain(X3,X2,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_658]) ).

cnf(c_0_895,plain,
    ( c_in(c_Pair(X4,X4,X3,X3),X2,tc_prod(X3,X3))
    | ~ c_Relation_Orefl__on(X1,X2,X3)
    | ~ c_in(X4,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_659]) ).

cnf(c_0_896,plain,
    ( c_in(c_Pair(X4,X4,X3,X3),X2,tc_prod(X3,X3))
    | ~ c_Relation_Orefl__on(X1,X2,X3)
    | ~ c_in(X4,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_660]) ).

cnf(c_0_897,plain,
    ( c_in(c_Pair(X1,X1,X3,X3),c_Relation_OId__on(X2,X3),tc_prod(X3,X3))
    | ~ c_in(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_661]) ).

cnf(c_0_898,plain,
    ( c_in(X1,c_Map_Odom(X2,X3,X4),X3)
    | hAPP(c_Map_Omap__add(X2,X5,X3,X4),X1) = hAPP(X5,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_662]) ).

cnf(c_0_899,plain,
    ( c_in(X1,c_Map_Odom(X2,X3,X4),X3)
    | hAPP(c_Map_Omap__add(X5,X2,X3,X4),X1) = hAPP(X5,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_663]) ).

cnf(c_0_900,plain,
    ( c_lessequals(c_Map_Odom(X1,X3,X4),c_Map_Odom(X2,X3,X4),tc_fun(X3,tc_bool))
    | ~ c_Map_Omap__le(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_664]) ).

cnf(c_0_901,plain,
    ( c_WellType_OWT(X1,X2,c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
    | ~ c_WellType_OWT(X1,X2,X3,c_Type_Oty_OClass(X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_665]) ).

cnf(c_0_902,plain,
    ( hAPP(X1,X5) = hAPP(X2,X5)
    | ~ c_Map_Omap__le(X1,X2,X3,X4)
    | ~ c_in(X5,c_Map_Odom(X1,X3,X4),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_666]) ).

cnf(c_0_903,plain,
    ( X5 = c_Type_Oty_OClass(X3)
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OCast(X3,X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    inference(split_conjunct,[status(thm)],[c_0_667]) ).

cnf(c_0_904,plain,
    ( X5 = c_Type_Oty_OVoid
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OLAss(X3,X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    inference(split_conjunct,[status(thm)],[c_0_668]) ).

cnf(c_0_905,plain,
    ( X3 = X2
    | X2 = c_Type_Oty_OClass(v_sko__TypeRel__Xwiden__Xcases__1(X1,X2,X3))
    | X2 = c_Type_Oty_ONT
    | ~ c_TypeRel_Owiden(X1,X2,X3,t_a) ),
    inference(split_conjunct,[status(thm)],[c_0_669]) ).

cnf(c_0_906,plain,
    ( X3 = X2
    | X3 = c_Type_Oty_OClass(v_sko__TypeRel__Xwiden__Xcases__2(X1,X2,X3))
    | X2 = c_Type_Oty_ONT
    | ~ c_TypeRel_Owiden(X1,X2,X3,t_a) ),
    inference(split_conjunct,[status(thm)],[c_0_670]) ).

cnf(c_0_907,plain,
    ( X4 = c_Type_Oty_OVoid
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_671]) ).

cnf(c_0_908,plain,
    ( c_lessequals(X1,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_672]) ).

cnf(c_0_909,plain,
    ( c_in(X4,X2,X3)
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_in(X4,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_673]) ).

cnf(c_0_910,plain,
    ( c_in(X4,X2,X3)
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_in(X4,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_674]) ).

cnf(c_0_911,plain,
    ( c_in(X1,X4,X3)
    | ~ c_in(X1,X2,X3)
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_675]) ).

cnf(c_0_912,plain,
    ( c_in(X4,X2,X3)
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_in(X4,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_676]) ).

cnf(c_0_913,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_677]) ).

cnf(c_0_914,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_678]) ).

cnf(c_0_915,plain,
    ( c_lessequals(hAPP(X1,X5),hAPP(X2,X5),X4)
    | ~ c_lessequals(X1,X2,tc_fun(X3,X4))
    | ~ class_HOL_Oord(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_679]) ).

cnf(c_0_916,plain,
    ( c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_680]) ).

cnf(c_0_917,plain,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_681]) ).

cnf(c_0_918,plain,
    ( c_in(X1,c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3))
    | ~ c_in(X1,X2,tc_prod(X3,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_682]) ).

cnf(c_0_919,plain,
    ( hBOOL(hAPP(X2,X4))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_683]) ).

cnf(c_0_920,plain,
    ( hBOOL(hAPP(X3,X2))
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_684]) ).

cnf(c_0_921,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_685]) ).

cnf(c_0_922,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_686]) ).

cnf(c_0_923,plain,
    ( X2 = X1
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_687]) ).

cnf(c_0_924,plain,
    ( X1 = X2
    | c_Expr_Oexp_OCast(X1,X3,X4) != c_Expr_Oexp_OCast(X2,X5,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_688]) ).

cnf(c_0_925,plain,
    ( X1 = X2
    | c_Expr_Oexp_OCast(X3,X1,X4) != c_Expr_Oexp_OCast(X5,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_689]) ).

cnf(c_0_926,plain,
    ( X1 = X2
    | c_Expr_Oexp_OLAss(X3,X1,X4) != c_Expr_Oexp_OLAss(X5,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_690]) ).

cnf(c_0_927,plain,
    ( X1 = X2
    | c_Expr_Oexp_OLAss(X1,X3,X4) != c_Expr_Oexp_OLAss(X2,X5,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_691]) ).

cnf(c_0_928,plain,
    ( X1 = X2
    | c_Expr_Oexp_OSeq(X3,X1,X4) != c_Expr_Oexp_OSeq(X5,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_692]) ).

cnf(c_0_929,plain,
    ( X1 = X2
    | c_Expr_Oexp_OSeq(X1,X3,X4) != c_Expr_Oexp_OSeq(X2,X5,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_693]) ).

cnf(c_0_930,plain,
    ( c_Relation_Orefl__on(X1,X2,X3)
    | ~ c_Equiv__Relations_Oequiv(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_694]) ).

cnf(c_0_931,plain,
    ( c_lessequals(X1,X2,X3)
    | c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_695]) ).

cnf(c_0_932,plain,
    ( hBOOL(hAPP(X2,X1))
    | ~ c_in(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_696]) ).

cnf(c_0_933,plain,
    ( c_in(X2,X1,X3)
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_697]) ).

cnf(c_0_934,plain,
    ( X1 = X2
    | ~ c_fequal(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_698]) ).

cnf(c_0_935,plain,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_699]) ).

cnf(c_0_936,plain,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Opreorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_700]) ).

cnf(c_0_937,plain,
    ( c_Objects_Ohext(X1,X3)
    | ~ c_Objects_Ohext(X1,X2)
    | ~ c_Objects_Ohext(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_701]) ).

cnf(c_0_938,plain,
    ( X1 = X2
    | c_Expr_Oexp_Othrow(X1,X3) != c_Expr_Oexp_Othrow(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_702]) ).

cnf(c_0_939,plain,
    ( X1 = X2
    | c_Expr_Oexp_OVal(X1,X3) != c_Expr_Oexp_OVal(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_703]) ).

cnf(c_0_940,plain,
    ( class_Orderings_Opreorder(tc_fun(X2,X1))
    | ~ class_Orderings_Opreorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_704]) ).

cnf(c_0_941,plain,
    ( class_Orderings_Oorder(tc_fun(X2,X1))
    | ~ class_Orderings_Oorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_705]) ).

cnf(c_0_942,plain,
    ( class_HOL_Oord(tc_fun(X2,X1))
    | ~ class_HOL_Oord(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_706]) ).

cnf(c_0_943,plain,
    ( X1 = X2
    | c_Type_Oty_OClass(X1) != c_Type_Oty_OClass(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_707]) ).

cnf(c_0_944,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X1,X9,X10,X6,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X6,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    c_0_708,
    [final] ).

cnf(c_0_945,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X1,X9,X6,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X6,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    c_0_709,
    [final] ).

cnf(c_0_946,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X1,X6,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X7,X8,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X6,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X7,X8,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    c_0_710,
    [final] ).

cnf(c_0_947,plain,
    ( c_in(c_Pair(c_Pair(X1,c_Pair(X2,c_Map_Omap__add(X8,X3,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,c_Pair(X5,c_Map_Omap__add(X8,X6,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X7),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,c_Pair(X2,X3,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,c_Pair(X5,X6,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X7),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    c_0_711,
    [final] ).

cnf(c_0_948,plain,
    ( c_in(c_Pair(c_Pair(X1,c_Pair(X2,c_Map_Omap__add(X8,X3,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,c_Pair(X5,c_Map_Omap__add(X8,X6,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,c_Pair(X2,X3,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,c_Pair(X5,X6,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    c_0_712,
    [final] ).

cnf(c_0_949,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X8,X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X8,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    c_0_713,
    [final] ).

cnf(c_0_950,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OTryCatch(X1,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OTryCatch(X3,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    c_0_714,
    [final] ).

cnf(c_0_951,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X1,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAss(X3,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    c_0_715,
    [final] ).

cnf(c_0_952,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OTryCatch(X1,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    c_0_716,
    [final] ).

cnf(c_0_953,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X1,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    c_0_717,
    [final] ).

cnf(c_0_954,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    c_0_718,
    [final] ).

cnf(c_0_955,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCall(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCall(X3,X6,X7,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    c_0_719,
    [final] ).

cnf(c_0_956,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OBinOp(X3,X6,X7,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    c_0_720,
    [final] ).

cnf(c_0_957,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCond(X3,X6,X7,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    c_0_721,
    [final] ).

cnf(c_0_958,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAcc(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAcc(X3,X6,X7,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    c_0_722,
    [final] ).

cnf(c_0_959,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    c_0_723,
    [final] ).

cnf(c_0_960,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    c_0_724,
    [final] ).

cnf(c_0_961,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCall(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    c_0_725,
    [final] ).

cnf(c_0_962,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAcc(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    c_0_726,
    [final] ).

cnf(c_0_963,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X6,X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCast(X6,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    c_0_727,
    [final] ).

cnf(c_0_964,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X6,X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OLAss(X6,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    c_0_728,
    [final] ).

cnf(c_0_965,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X1,X6,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OSeq(X3,X6,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    c_0_729,
    [final] ).

cnf(c_0_966,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X6,X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    c_0_730,
    [final] ).

cnf(c_0_967,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X6,X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    c_0_731,
    [final] ).

cnf(c_0_968,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X1,X6,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    c_0_732,
    [final] ).

cnf(c_0_969,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_Othrow(X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    c_0_733,
    [final] ).

cnf(c_0_970,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_Othrow(X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    c_0_734,
    [final] ).

cnf(c_0_971,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X8,X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X8,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    c_0_735,
    [final] ).

cnf(c_0_972,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OTryCatch(X1,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OTryCatch(X3,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    c_0_736,
    [final] ).

cnf(c_0_973,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X1,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAss(X3,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    c_0_737,
    [final] ).

cnf(c_0_974,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    c_0_738,
    [final] ).

cnf(c_0_975,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCond(X3,X6,X7,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    c_0_739,
    [final] ).

cnf(c_0_976,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAcc(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAcc(X3,X6,X7,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    c_0_740,
    [final] ).

cnf(c_0_977,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCall(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCall(X3,X6,X7,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    c_0_741,
    [final] ).

cnf(c_0_978,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OBinOp(X3,X6,X7,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    c_0_742,
    [final] ).

cnf(c_0_979,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X6,X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCast(X6,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    c_0_743,
    [final] ).

cnf(c_0_980,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X1,X6,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OSeq(X3,X6,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    c_0_744,
    [final] ).

cnf(c_0_981,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X6,X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OLAss(X6,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    c_0_745,
    [final] ).

cnf(c_0_982,plain,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_Othrow(X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    c_0_746,
    [final] ).

cnf(c_0_983,plain,
    ( c_TypeRel_Ohas__field(X1,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X6,X3,X5,X1,X4,X2,X7),X5,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X6,X3,X5,X1,X4,X2,X7),X6,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | c_WellTypeRT_OWTrt(X1,X2,X3,X7,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(X3,X1,X2,X7))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    c_0_747,
    [final] ).

cnf(c_0_984,plain,
    ( c_TypeRel_Ohas__field(X1,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X6,X3,X5,X1,X4,X2,X7),X5,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X6,X3,X5,X1,X4,X2,X7),X6,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    c_0_748,
    [final] ).

cnf(c_0_985,plain,
    ( c_TypeRel_Ohas__field(X1,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X6,X3,X5,X1,X4,X2,X7),X5,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X6,X3,X5,X1,X4,X2,X7),X6,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | X8 = c_Type_Oty_OVoid
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    c_0_749,
    [final] ).

cnf(c_0_986,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X6,X3,X5,X1,X4,X2,X7)))
    | c_WellTypeRT_OWTrt(X1,X2,X3,X7,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(X3,X1,X2,X7))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    c_0_750,
    [final] ).

cnf(c_0_987,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X6,X3,X5,X1,X4,X2,X7)))
    | c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    c_0_751,
    [final] ).

cnf(c_0_988,plain,
    ( c_TypeRel_Owiden(X1,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X6,X3,X5,X1,X4,X2,X7),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X6,X3,X5,X1,X4,X2,X7),tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | c_WellTypeRT_OWTrt(X1,X2,X3,X7,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(X3,X1,X2,X7))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    c_0_752,
    [final] ).

cnf(c_0_989,plain,
    ( c_TypeRel_Owiden(X1,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X6,X3,X5,X1,X4,X2,X7),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X6,X3,X5,X1,X4,X2,X7),tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    c_0_753,
    [final] ).

cnf(c_0_990,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X6,X3,X5,X1,X4,X2,X7)))
    | X8 = c_Type_Oty_OVoid
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    c_0_754,
    [final] ).

cnf(c_0_991,plain,
    ( c_TypeRel_Owiden(X1,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X6,X3,X5,X1,X4,X2,X7),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X6,X3,X5,X1,X4,X2,X7),tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | X8 = c_Type_Oty_OVoid
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    c_0_755,
    [final] ).

cnf(c_0_992,plain,
    ( c_Conform_Olconf(X7,X5,X6,X8,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_in(c_Pair(c_Pair(X1,c_Pair(X2,X3,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,c_Pair(X5,X6,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_WellTypeRT_OWTrt(X7,X2,X8,X1,X9)
    | ~ c_Conform_Olconf(X7,X2,X3,X8,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    c_0_756,
    [final] ).

cnf(c_0_993,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1(X6,X3,X5,X1,X7,X4,X2)))
    | c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAcc(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    c_0_757,
    [final] ).

cnf(c_0_994,plain,
    ( c_Conform_Ohconf(X7,X5,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_in(c_Pair(c_Pair(X1,c_Pair(X2,X3,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,c_Pair(X5,X6,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_WellTypeRT_OWTrt(X7,X2,X8,X1,X9)
    | ~ c_Conform_Ohconf(X7,X2,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    c_0_758,
    [final] ).

cnf(c_0_995,plain,
    ( c_lessequals(c_Map_Odom(X3,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Map_Odom(X6,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | ~ c_in(c_Pair(c_Pair(X1,c_Pair(X2,X3,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,c_Pair(X5,X6,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    c_0_759,
    [final] ).

cnf(c_0_996,plain,
    ( c_Objects_Ohext(X2,X5)
    | ~ c_in(c_Pair(c_Pair(X1,c_Pair(X2,X3,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,c_Pair(X5,X6,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    c_0_760,
    [final] ).

cnf(c_0_997,plain,
    ( c_BigStep_Oeval(X1,X2,X3,X6,X7)
    | ~ c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_in(c_Pair(c_Pair(X2,X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X1),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_BigStep_Oeval(X1,X4,X5,X6,X7) ),
    c_0_761,
    [final] ).

cnf(c_0_998,plain,
    ( c_BigStep_Oeval(X1,X2,X3,X6,X7)
    | ~ c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_in(c_Pair(c_Pair(X2,X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X1),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_BigStep_Oeval(X1,X4,X5,X6,X7) ),
    c_0_762,
    [final] ).

cnf(c_0_999,plain,
    ( c_TypeSafe__Mirabelle_Osconf(X5,X6,X4)
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_WellTypeRT_OWTrt(X5,c_State_Ohp(X2),X6,X1,X7)
    | ~ c_TypeSafe__Mirabelle_Osconf(X5,X6,X2) ),
    c_0_763,
    [final] ).

cnf(c_0_1000,plain,
    ( c_TypeRel_Ohas__field(X1,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1(X6,X3,X5,X1,X7,X4,X2),X5,X7,X6,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAcc(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    c_0_764,
    [final] ).

cnf(c_0_1001,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X7,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X6,X3,X5,X1,X4,X2,X7))
    | c_WellTypeRT_OWTrt(X1,X2,X3,X7,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(X3,X1,X2,X7))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    c_0_765,
    [final] ).

cnf(c_0_1002,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X7,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X6,X3,X5,X1,X4,X2,X7))
    | c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    c_0_766,
    [final] ).

cnf(c_0_1003,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X7,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X6,X3,X5,X1,X4,X2,X7))
    | X8 = c_Type_Oty_OVoid
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    c_0_767,
    [final] ).

cnf(c_0_1004,plain,
    ( c_in(c_Pair(c_Pair(X2,X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X1),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_BigStep_Oeval(X1,X2,X3,X4,X5) ),
    c_0_768,
    [final] ).

cnf(c_0_1005,plain,
    ( c_TypeRel_Osees__field(X1,c_WellType_Osko__WellType__XWT__elim__cases__8__1(X5,X2,X4,X1,X3,X6),X4,c_WellType_Osko__WellType__XWT__elim__cases__8__2(X5,X2,X4,X1,X3,X6),X5,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OFAss(X3,X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    c_0_769,
    [final] ).

cnf(c_0_1006,plain,
    ( c_TypeRel_Owiden(X1,c_WellType_Osko__WellType__XWT__elim__cases__8__3(X5,X2,X4,X1,X3,X6),c_WellType_Osko__WellType__XWT__elim__cases__8__2(X5,X2,X4,X1,X3,X6),tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OFAss(X3,X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    c_0_770,
    [final] ).

cnf(c_0_1007,plain,
    ( c_WellType_OWT(X1,X2,X3,c_Type_Oty_OClass(c_WellType_Osko__WellType__XWT__elim__cases__8__1(X5,X2,X4,X1,X3,X6)))
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OFAss(X3,X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    c_0_771,
    [final] ).

cnf(c_0_1008,plain,
    ( c_WellType_OWT(X1,X2,X3,c_Type_Oty_OClass(c_WellType_Osko__WellType__XWT__elim__cases__7__1(X5,X2,X4,X1,X6,X3)))
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OFAcc(X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6) ),
    c_0_772,
    [final] ).

cnf(c_0_1009,plain,
    ( c_TypeRel_Osees__field(X1,c_WellType_Osko__WellType__XWT__elim__cases__7__1(X5,X2,X4,X1,X6,X3),X4,X6,X5,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OFAcc(X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6) ),
    c_0_773,
    [final] ).

cnf(c_0_1010,plain,
    ( X7 = X4
    | ~ c_TypeRel_Osees__field(X1,X2,X3,X4,X5,X6)
    | ~ c_TypeRel_Osees__field(X1,X2,X3,X7,X8,X6) ),
    c_0_774,
    [final] ).

cnf(c_0_1011,plain,
    ( X8 = X5
    | ~ c_TypeRel_Osees__field(X1,X2,X3,X4,X5,X6)
    | ~ c_TypeRel_Osees__field(X1,X2,X3,X7,X8,X6) ),
    c_0_775,
    [final] ).

cnf(c_0_1012,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X6,X8,X9,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OClass(X5))
    | ~ c_TypeRel_Ohas__field(X1,X5,X6,X7,X8,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X9,X10)
    | ~ c_TypeRel_Owiden(X1,X10,X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    c_0_776,
    [final] ).

cnf(c_0_1013,plain,
    ( c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X6,X8,X9,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X4,c_Type_Oty_OClass(X5))
    | ~ c_TypeRel_Ohas__field(X1,X5,X6,X7,X8,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X9,X10)
    | ~ c_TypeRel_Owiden(X1,X10,X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    c_0_777,
    [final] ).

cnf(c_0_1014,plain,
    ( c_WellType_OWT(X1,X2,X6,c_WellType_Osko__WellType__XWT__elim__cases__8__3(X5,X2,X4,X1,X3,X6))
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OFAss(X3,X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    c_0_778,
    [final] ).

cnf(c_0_1015,plain,
    ( c_TypeRel_Ohas__field(X1,X2,X3,X4,X5,X6)
    | ~ c_TypeRel_Osees__field(X1,X2,X3,X4,X5,X6) ),
    c_0_779,
    [final] ).

cnf(c_0_1016,plain,
    ( c_TypeRel_Osees__field(X1,X5,X3,X4,X5,X6)
    | ~ c_TypeRel_Osees__field(X1,X2,X3,X4,X5,X6) ),
    c_0_780,
    [final] ).

cnf(c_0_1017,plain,
    ( c_WellType_OWT(X1,X2,c_Expr_Oexp_OFAss(X3,X5,X7,X8,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
    | ~ c_WellType_OWT(X1,X2,X3,c_Type_Oty_OClass(X4))
    | ~ c_TypeRel_Osees__field(X1,X4,X5,X6,X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellType_OWT(X1,X2,X8,X9)
    | ~ c_TypeRel_Owiden(X1,X9,X6,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    c_0_781,
    [final] ).

cnf(c_0_1018,plain,
    ( c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OFAcc(X4,X6,X8,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X4,c_Type_Oty_OClass(X5))
    | ~ c_TypeRel_Ohas__field(X1,X5,X6,X7,X8,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    c_0_782,
    [final] ).

cnf(c_0_1019,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAcc(X4,X6,X8,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OClass(X5))
    | ~ c_TypeRel_Ohas__field(X1,X5,X6,X7,X8,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    c_0_783,
    [final] ).

cnf(c_0_1020,plain,
    ( c_WellType_OWT(X1,X2,c_Expr_Oexp_OFAcc(X3,X5,X7,tc_List_Olist(tc_String_Ochar)),X6)
    | ~ c_WellType_OWT(X1,X2,X3,c_Type_Oty_OClass(X4))
    | ~ c_TypeRel_Osees__field(X1,X4,X5,X6,X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    c_0_784,
    [final] ).

cnf(c_0_1021,plain,
    ( c_lessequals(c_Map_Odom(X4,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Map_Odom(X7,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | ~ c_BigStep_Oevals(X1,X2,c_Pair(X3,X4,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),X5,c_Pair(X6,X7,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
    c_0_785,
    [final] ).

cnf(c_0_1022,plain,
    ( c_lessequals(c_Map_Odom(X4,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Map_Odom(X7,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | ~ c_BigStep_Oeval(X1,X2,c_Pair(X3,X4,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),X5,c_Pair(X6,X7,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
    c_0_786,
    [final] ).

cnf(c_0_1023,plain,
    ( c_Objects_Ohext(X3,X6)
    | ~ c_BigStep_Oevals(X1,X2,c_Pair(X3,X4,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),X5,c_Pair(X6,X7,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
    c_0_787,
    [final] ).

cnf(c_0_1024,plain,
    ( c_Objects_Ohext(X3,X6)
    | ~ c_BigStep_Oeval(X1,X2,c_Pair(X3,X4,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),X5,c_Pair(X6,X7,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
    c_0_788,
    [final] ).

cnf(c_0_1025,plain,
    ( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,X1,v_e_Ha____,v_sko__local__XFAssRed1__Xhyps__2__1(X1,v_P,X2,v_e_Ha____,v_h_Ha____))
    | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
    | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X1,v_ea____,X2) ),
    c_0_789,
    [final] ).

cnf(c_0_1026,plain,
    ( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,X1,v_e_Ha____,v_sko__local__XFAssRed1__2__1(X1,v_P,X2,v_e_Ha____,v_h_Ha____))
    | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
    | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X1,v_ea____,X2) ),
    c_0_790,
    [final] ).

cnf(c_0_1027,plain,
    ( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,X1,v_e_Ha____,v_sko__local__XIH__1(X1,v_P,X2,v_e_Ha____,v_h_Ha____))
    | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
    | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X1,v_ea____,X2) ),
    c_0_791,
    [final] ).

cnf(c_0_1028,plain,
    ( c_TypeRel_Owiden(v_P,v_sko__local__XIH__1(X1,v_P,X2,v_e_Ha____,v_h_Ha____),X2,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
    | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X1,v_ea____,X2) ),
    c_0_792,
    [final] ).

cnf(c_0_1029,plain,
    ( c_TypeRel_Owiden(v_P,v_sko__local__XFAssRed1__Xhyps__2__1(X1,v_P,X2,v_e_Ha____,v_h_Ha____),X2,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
    | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X1,v_ea____,X2) ),
    c_0_793,
    [final] ).

cnf(c_0_1030,plain,
    ( c_TypeRel_Owiden(v_P,v_sko__local__XFAssRed1__2__1(X1,v_P,X2,v_e_Ha____,v_h_Ha____),X2,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
    | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X1,v_ea____,X2) ),
    c_0_794,
    [final] ).

cnf(c_0_1031,plain,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OFAss(X2,X9,X10,X6,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8)
    | ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_OVal(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_BigStep_Oeval(X1,X6,X5,c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    c_0_795,
    [final] ).

cnf(c_0_1032,plain,
    ( c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X7,X8,X5,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X4,c_Type_Oty_ONT)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X5,X6) ),
    c_0_796,
    [final] ).

cnf(c_0_1033,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X7,X8,X5,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X5,X6) ),
    c_0_797,
    [final] ).

cnf(c_0_1034,plain,
    ( X8 = c_Type_Oty_OVoid
    | c_WellTypeRT_OWTrt(X1,X2,X3,X7,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(X3,X1,X2,X7))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    c_0_798,
    [final] ).

cnf(c_0_1035,plain,
    ( X8 = c_Type_Oty_OVoid
    | c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    c_0_799,
    [final] ).

cnf(c_0_1036,plain,
    ( c_in(c_Pair(X1,X5,X3,X3),X7,tc_prod(X3,X3))
    | c_in(c_Pair(X2,X6,X4,X4),X8,tc_prod(X4,X4))
    | ~ c_in(c_Pair(c_Pair(X1,X2,X3,X4),c_Pair(X5,X6,X3,X4),tc_prod(X3,X4),tc_prod(X3,X4)),c_Wellfounded_Olex__prod(X7,X8,X3,X4),tc_prod(tc_prod(X3,X4),tc_prod(X3,X4))) ),
    c_0_800,
    [final] ).

cnf(c_0_1037,plain,
    ( X8 = c_Type_Oty_OVoid
    | X8 = c_Type_Oty_OVoid
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    c_0_801,
    [final] ).

cnf(c_0_1038,plain,
    ( c_in(c_Pair(X1,X5,X3,X3),X7,tc_prod(X3,X3))
    | X1 = X5
    | ~ c_in(c_Pair(c_Pair(X1,X2,X3,X4),c_Pair(X5,X6,X3,X4),tc_prod(X3,X4),tc_prod(X3,X4)),c_Wellfounded_Olex__prod(X7,X8,X3,X4),tc_prod(tc_prod(X3,X4),tc_prod(X3,X4))) ),
    c_0_802,
    [final] ).

cnf(c_0_1039,plain,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OBinOp(X2,X9,X6,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8)
    | ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_OVal(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_BigStep_Oeval(X1,X6,X5,c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    c_0_803,
    [final] ).

cnf(c_0_1040,plain,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OTryCatch(X2,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_OVal(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_OVal(X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    c_0_804,
    [final] ).

cnf(c_0_1041,plain,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OFAss(X2,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    c_0_805,
    [final] ).

cnf(c_0_1042,plain,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OSeq(X2,X6,tc_List_Olist(tc_String_Ochar)),X3,X7,X8)
    | ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_OVal(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_BigStep_Oeval(X1,X6,X5,X7,X8) ),
    c_0_806,
    [final] ).

cnf(c_0_1043,plain,
    ( c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OSeq(X4,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X4,X5)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X6,X7) ),
    c_0_807,
    [final] ).

cnf(c_0_1044,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OSeq(X4,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X6,X7) ),
    c_0_808,
    [final] ).

cnf(c_0_1045,plain,
    ( c_WellType_OWT(X1,X2,X3,X7)
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OTryCatch(X3,X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    c_0_809,
    [final] ).

cnf(c_0_1046,plain,
    ( c_in(c_Pair(c_Pair(X2,X3,X7,X5),c_Pair(X2,X4,X7,X5),tc_prod(X7,X5),tc_prod(X7,X5)),c_Recdef_Osame__fst(X1,X6,X7,X5),tc_prod(tc_prod(X7,X5),tc_prod(X7,X5)))
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_in(c_Pair(X3,X4,X5,X5),hAPP(X6,X2),tc_prod(X5,X5)) ),
    c_0_810,
    [final] ).

cnf(c_0_1047,plain,
    ( X7 = c_Type_Oty_OVoid
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OFAss(X3,X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    c_0_811,
    [final] ).

cnf(c_0_1048,plain,
    ( c_in(c_Pair(c_Pair(X5,X1,X6,X3),c_Pair(X5,X2,X6,X3),tc_prod(X6,X3),tc_prod(X6,X3)),c_Wellfounded_Olex__prod(X7,X4,X6,X3),tc_prod(tc_prod(X6,X3),tc_prod(X6,X3)))
    | ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)) ),
    c_0_812,
    [final] ).

cnf(c_0_1049,plain,
    ( c_in(c_Pair(c_Pair(X1,X5,X3,X6),c_Pair(X2,X7,X3,X6),tc_prod(X3,X6),tc_prod(X3,X6)),c_Wellfounded_Olex__prod(X4,X8,X3,X6),tc_prod(tc_prod(X3,X6),tc_prod(X3,X6)))
    | ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)) ),
    c_0_813,
    [final] ).

cnf(c_0_1050,plain,
    ( X1 = X2
    | c_Expr_Oexp_OTryCatch(X3,X4,X5,X1,X6) != c_Expr_Oexp_OTryCatch(X7,X8,X9,X2,X6) ),
    c_0_814,
    [final] ).

cnf(c_0_1051,plain,
    ( X1 = X2
    | c_Expr_Oexp_OTryCatch(X3,X4,X1,X5,X6) != c_Expr_Oexp_OTryCatch(X7,X8,X2,X9,X6) ),
    c_0_815,
    [final] ).

cnf(c_0_1052,plain,
    ( X1 = X2
    | c_Expr_Oexp_OTryCatch(X3,X1,X4,X5,X6) != c_Expr_Oexp_OTryCatch(X7,X2,X8,X9,X6) ),
    c_0_816,
    [final] ).

cnf(c_0_1053,plain,
    ( X1 = X2
    | c_Expr_Oexp_OTryCatch(X1,X3,X4,X5,X6) != c_Expr_Oexp_OTryCatch(X2,X7,X8,X9,X6) ),
    c_0_817,
    [final] ).

cnf(c_0_1054,plain,
    ( X1 = X2
    | c_Expr_Oexp_OFAss(X3,X4,X5,X1,X6) != c_Expr_Oexp_OFAss(X7,X8,X9,X2,X6) ),
    c_0_818,
    [final] ).

cnf(c_0_1055,plain,
    ( X1 = X2
    | c_Expr_Oexp_OFAss(X3,X4,X1,X5,X6) != c_Expr_Oexp_OFAss(X7,X8,X2,X9,X6) ),
    c_0_819,
    [final] ).

cnf(c_0_1056,plain,
    ( X1 = X2
    | c_Expr_Oexp_OFAss(X3,X1,X4,X5,X6) != c_Expr_Oexp_OFAss(X7,X2,X8,X9,X6) ),
    c_0_820,
    [final] ).

cnf(c_0_1057,plain,
    ( X1 = X2
    | c_Expr_Oexp_OFAss(X1,X3,X4,X5,X6) != c_Expr_Oexp_OFAss(X2,X7,X8,X9,X6) ),
    c_0_821,
    [final] ).

cnf(c_0_1058,plain,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OCall(X2,X6,X7,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    c_0_822,
    [final] ).

cnf(c_0_1059,plain,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OCond(X2,X6,X7,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    c_0_823,
    [final] ).

cnf(c_0_1060,plain,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OBinOp(X2,X6,X7,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    c_0_824,
    [final] ).

cnf(c_0_1061,plain,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OFAcc(X2,X6,X7,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    c_0_825,
    [final] ).

cnf(c_0_1062,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAcc(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT) ),
    c_0_826,
    [final] ).

cnf(c_0_1063,plain,
    ( c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OFAcc(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X4,c_Type_Oty_ONT) ),
    c_0_827,
    [final] ).

cnf(c_0_1064,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,X6,X4,X5)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
    | ~ c_Map_Omap__le(X3,X6,tc_List_Olist(tc_String_Ochar),tc_Type_Oty) ),
    c_0_828,
    [final] ).

cnf(c_0_1065,plain,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OSeq(X2,X6,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    c_0_829,
    [final] ).

cnf(c_0_1066,plain,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OLAss(X6,X2,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    c_0_830,
    [final] ).

cnf(c_0_1067,plain,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OCast(X6,X2,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    c_0_831,
    [final] ).

cnf(c_0_1068,plain,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    c_0_832,
    [final] ).

cnf(c_0_1069,plain,
    ( c_Conform_Olconf(X1,X6,X3,X4,X5)
    | ~ c_Conform_Olconf(X1,X2,X3,X4,X5)
    | ~ c_Objects_Ohext(X2,X6) ),
    c_0_833,
    [final] ).

cnf(c_0_1070,plain,
    ( c_WellTypeRT_OWTrt(X1,X6,X3,X4,X5)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
    | ~ c_Objects_Ohext(X2,X6) ),
    c_0_834,
    [final] ).

cnf(c_0_1071,plain,
    ( c_Progress_OWTrt_H(X1,X2,X3,X4,X5)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5) ),
    c_0_835,
    [final] ).

cnf(c_0_1072,plain,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X4,X5) ),
    c_0_836,
    [final] ).

cnf(c_0_1073,plain,
    ( c_Map_Omap__le(c_Map_Omap__add(X1,X5,X3,X4),X2,X3,X4)
    | ~ c_Map_Omap__le(X1,X2,X3,X4)
    | ~ c_Map_Omap__le(X5,X2,X3,X4)
    | ~ c_Map_Omap__le(X1,c_Map_Omap__add(X1,X5,X3,X4),X3,X4) ),
    c_0_837,
    [final] ).

cnf(c_0_1074,plain,
    ( c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X2,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    c_0_838,
    [final] ).

cnf(c_0_1075,plain,
    ( c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(X2,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    c_0_839,
    [final] ).

cnf(c_0_1076,plain,
    ( c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X2,X5,X3,X3),X4,tc_prod(X3,X3)) ),
    c_0_840,
    [final] ).

cnf(c_0_1077,plain,
    ( X6 = c_Type_Oty_OClass(X4)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCast(X4,X5,tc_List_Olist(tc_String_Ochar)),X6) ),
    c_0_841,
    [final] ).

cnf(c_0_1078,plain,
    ( X6 = c_Type_Oty_OVoid
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OLAss(X4,X5,tc_List_Olist(tc_String_Ochar)),X6) ),
    c_0_842,
    [final] ).

cnf(c_0_1079,plain,
    ( X6 = c_Type_Oty_OVoid
    | ~ c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OLAss(X4,X5,tc_List_Olist(tc_String_Ochar)),X6) ),
    c_0_843,
    [final] ).

cnf(c_0_1080,plain,
    ( X4 = c_Expr_Oexp_OVal(X2,tc_List_Olist(tc_String_Ochar))
    | ~ c_BigStep_Oeval(X1,c_Expr_Oexp_OVal(X2,tc_List_Olist(tc_String_Ochar)),X3,X4,X5) ),
    c_0_844,
    [final] ).

cnf(c_0_1081,plain,
    ( X5 = X3
    | ~ c_BigStep_Oeval(X1,c_Expr_Oexp_OVal(X2,tc_List_Olist(tc_String_Ochar)),X3,X4,X5) ),
    c_0_845,
    [final] ).

cnf(c_0_1082,plain,
    ( v_thesis____
    | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X1) ),
    c_0_846,
    [final] ).

cnf(c_0_1083,plain,
    ( c_in(X2,hAPP(X6,X1),X4)
    | ~ c_in(c_Pair(X1,X2,X3,X4),c_Product__Type_OSigma(X5,X6,X3,X4),tc_prod(X3,X4)) ),
    c_0_847,
    [final] ).

cnf(c_0_1084,plain,
    ( c_in(X1,X5,X3)
    | ~ c_in(c_Pair(X1,X2,X3,X4),c_Product__Type_OSigma(X5,X6,X3,X4),tc_prod(X3,X4)) ),
    c_0_848,
    [final] ).

cnf(c_0_1085,plain,
    ( c_Map_Omap__add(X1,X2,X3,X4) = c_Map_Omap__add(X2,X1,X3,X4)
    | ~ c_Map_Omap__le(X1,c_Map_Omap__add(X1,X2,X3,X4),X3,X4) ),
    c_0_849,
    [final] ).

cnf(c_0_1086,plain,
    ( c_WellTypeRT_OWTrt(X1,X5,X2,X3,X4)
    | ~ c_WellType_OWT(X1,X2,X3,X4) ),
    c_0_850,
    [final] ).

cnf(c_0_1087,plain,
    ( c_in(X4,c_Relation_OImage(X6,X2,X3,X5),X5)
    | ~ c_in(X1,X2,X3)
    | ~ c_in(c_Pair(X1,X4,X3,X5),X6,tc_prod(X3,X5)) ),
    c_0_851,
    [final] ).

cnf(c_0_1088,plain,
    ( c_in(X4,c_Relation_OImage(X6,X2,X3,X5),X5)
    | ~ c_in(X1,X2,X3)
    | ~ c_in(c_Pair(X1,X4,X3,X5),X6,tc_prod(X3,X5)) ),
    c_0_852,
    [final] ).

cnf(c_0_1089,plain,
    ( c_Map_Omap__le(X1,c_Map_Omap__add(X1,X2,X3,X4),X3,X4)
    | c_Map_Omap__add(X1,X2,X3,X4) != c_Map_Omap__add(X2,X1,X3,X4) ),
    c_0_853,
    [final] ).

cnf(c_0_1090,plain,
    ( c_Map_Omap__le(X2,X5,X3,X4)
    | ~ c_Map_Omap__le(c_Map_Omap__add(X1,X2,X3,X4),X5,X3,X4) ),
    c_0_854,
    [final] ).

cnf(c_0_1091,plain,
    ( X4 = X5
    | c_in(c_Pair(X4,X5,X3,X3),X2,tc_prod(X3,X3))
    | c_in(c_Pair(X5,X4,X3,X3),X2,tc_prod(X3,X3))
    | ~ c_Relation_Ototal__on(X1,X2,X3)
    | ~ c_in(X4,X1,X3)
    | ~ c_in(X5,X1,X3) ),
    c_0_855,
    [final] ).

cnf(c_0_1092,plain,
    ( c_in(c_Pair(X1,X4,X3,X6),c_Product__Type_OSigma(X2,X5,X3,X6),tc_prod(X3,X6))
    | ~ c_in(X1,X2,X3)
    | ~ c_in(X4,hAPP(X5,X1),X6) ),
    c_0_856,
    [final] ).

cnf(c_0_1093,plain,
    ( c_in(c_Pair(X1,X4,X3,X6),c_Product__Type_OSigma(X2,X5,X3,X6),tc_prod(X3,X6))
    | ~ c_in(X1,X2,X3)
    | ~ c_in(X4,hAPP(X5,X1),X6) ),
    c_0_857,
    [final] ).

cnf(c_0_1094,plain,
    ( c_in(X4,c_Wellfounded_Oacc(X2,X3),X3)
    | ~ c_in(X1,c_Wellfounded_Oacc(X2,X3),X3)
    | ~ c_in(c_Pair(X4,X1,X3,X3),c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3)) ),
    c_0_858,
    [final] ).

cnf(c_0_1095,plain,
    ( c_in(X1,c_Wellfounded_Oacc(X4,X3),X3)
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(X2,c_Wellfounded_Oacc(X4,X3),X3) ),
    c_0_859,
    [final] ).

cnf(c_0_1096,plain,
    ( c_WellType_OWT(X1,X2,c_Expr_Oexp_OSeq(X3,X5,tc_List_Olist(tc_String_Ochar)),X6)
    | ~ c_WellType_OWT(X1,X2,X3,X4)
    | ~ c_WellType_OWT(X1,X2,X5,X6) ),
    c_0_860,
    [final] ).

cnf(c_0_1097,plain,
    ( c_in(X4,c_Wellfounded_Oacc(X2,X3),X3)
    | ~ c_in(X1,c_Wellfounded_Oacc(X2,X3),X3)
    | ~ c_in(c_Pair(X4,X1,X3,X3),X2,tc_prod(X3,X3)) ),
    c_0_861,
    [final] ).

cnf(c_0_1098,plain,
    ( c_in(X4,c_Wellfounded_Oacc(X2,X3),X3)
    | ~ c_in(X1,c_Wellfounded_Oacc(X2,X3),X3)
    | ~ c_in(c_Pair(X4,X1,X3,X3),X2,tc_prod(X3,X3)) ),
    c_0_862,
    [final] ).

cnf(c_0_1099,plain,
    ( c_in(X1,c_Relation_ODomain(X2,X3,X3),X3)
    | X1 = X4
    | ~ c_in(c_Pair(X1,X4,X3,X3),c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3)) ),
    c_0_863,
    [final] ).

cnf(c_0_1100,plain,
    ( c_in(X2,c_Relation_ORange(X5,X3,X4),X4)
    | ~ c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4)) ),
    c_0_864,
    [final] ).

cnf(c_0_1101,plain,
    ( c_in(X2,c_Relation_ORange(X5,X3,X4),X4)
    | ~ c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4)) ),
    c_0_865,
    [final] ).

cnf(c_0_1102,plain,
    ( c_in(X1,c_Relation_ODomain(X5,X3,X4),X3)
    | ~ c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4)) ),
    c_0_866,
    [final] ).

cnf(c_0_1103,plain,
    ( c_in(X1,c_Relation_ODomain(X5,X3,X4),X3)
    | ~ c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4)) ),
    c_0_867,
    [final] ).

cnf(c_0_1104,plain,
    ( c_in(X4,X1,X3)
    | ~ c_Equiv__Relations_Oequiv(X1,X2,X3)
    | ~ c_in(c_Pair(X4,X5,X3,X3),X2,tc_prod(X3,X3)) ),
    c_0_868,
    [final] ).

cnf(c_0_1105,plain,
    ( c_in(X5,X1,X3)
    | ~ c_Equiv__Relations_Oequiv(X1,X2,X3)
    | ~ c_in(c_Pair(X4,X5,X3,X3),X2,tc_prod(X3,X3)) ),
    c_0_869,
    [final] ).

cnf(c_0_1106,plain,
    ( c_in(X5,X1,X3)
    | ~ c_Relation_Orefl__on(X1,X2,X3)
    | ~ c_in(c_Pair(X4,X5,X3,X3),X2,tc_prod(X3,X3)) ),
    c_0_870,
    [final] ).

cnf(c_0_1107,plain,
    ( c_in(X4,X1,X3)
    | ~ c_Relation_Orefl__on(X1,X2,X3)
    | ~ c_in(c_Pair(X4,X5,X3,X3),X2,tc_prod(X3,X3)) ),
    c_0_871,
    [final] ).

cnf(c_0_1108,plain,
    ( c_WellType_OWT(X1,X5,X3,X4)
    | ~ c_WellType_OWT(X1,X2,X3,X4)
    | ~ c_Map_Omap__le(X2,X5,tc_List_Olist(tc_String_Ochar),tc_Type_Oty) ),
    c_0_872,
    [final] ).

cnf(c_0_1109,plain,
    ( c_TypeRel_Owiden(X1,X2,X5,X4)
    | ~ c_TypeRel_Owiden(X1,X2,X3,X4)
    | ~ c_TypeRel_Owiden(X1,X3,X5,X4) ),
    c_0_873,
    [final] ).

cnf(c_0_1110,plain,
    ( c_Map_Omap__le(X1,X5,X3,X4)
    | ~ c_Map_Omap__le(X1,X2,X3,X4)
    | ~ c_Map_Omap__le(X2,X5,X3,X4) ),
    c_0_874,
    [final] ).

cnf(c_0_1111,plain,
    ( c_in(X1,X4,X3)
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Relation_OId__on(X4,X3),tc_prod(X3,X3)) ),
    c_0_875,
    [final] ).

cnf(c_0_1112,plain,
    ( X1 = X2
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Relation_OId__on(X4,X3),tc_prod(X3,X3)) ),
    c_0_876,
    [final] ).

cnf(c_0_1113,plain,
    ( X2 = c_Type_Oty_ONT
    | c_Type_Oty_OClass(c_TypeRel_Osko__TypeRel__Xwiden__Class__1__1(X3,X1,X2,X4)) = X2
    | ~ c_TypeRel_Owiden(X1,X2,c_Type_Oty_OClass(X3),X4) ),
    c_0_877,
    [final] ).

cnf(c_0_1114,plain,
    ( X1 = X2
    | ~ c_Map_Omap__le(X1,X2,X3,X4)
    | ~ c_Map_Omap__le(X2,X1,X3,X4) ),
    c_0_878,
    [final] ).

cnf(c_0_1115,plain,
    ( X1 = X2
    | c_Expr_Oexp_OCall(X1,X3,X4,X5) != c_Expr_Oexp_OCall(X2,X6,X7,X5) ),
    c_0_879,
    [final] ).

cnf(c_0_1116,plain,
    ( X1 = X2
    | c_Expr_Oexp_OCall(X3,X1,X4,X5) != c_Expr_Oexp_OCall(X6,X2,X7,X5) ),
    c_0_880,
    [final] ).

cnf(c_0_1117,plain,
    ( X1 = X2
    | c_Expr_Oexp_OCall(X3,X4,X1,X5) != c_Expr_Oexp_OCall(X6,X7,X2,X5) ),
    c_0_881,
    [final] ).

cnf(c_0_1118,plain,
    ( X1 = X2
    | c_Expr_Oexp_OCond(X3,X4,X1,X5) != c_Expr_Oexp_OCond(X6,X7,X2,X5) ),
    c_0_882,
    [final] ).

cnf(c_0_1119,plain,
    ( X1 = X2
    | c_Expr_Oexp_OCond(X3,X1,X4,X5) != c_Expr_Oexp_OCond(X6,X2,X7,X5) ),
    c_0_883,
    [final] ).

cnf(c_0_1120,plain,
    ( X1 = X2
    | c_Expr_Oexp_OCond(X1,X3,X4,X5) != c_Expr_Oexp_OCond(X2,X6,X7,X5) ),
    c_0_884,
    [final] ).

cnf(c_0_1121,plain,
    ( X1 = X2
    | c_Expr_Oexp_OBinOp(X3,X4,X1,X5) != c_Expr_Oexp_OBinOp(X6,X7,X2,X5) ),
    c_0_885,
    [final] ).

cnf(c_0_1122,plain,
    ( X1 = X2
    | c_Expr_Oexp_OBinOp(X3,X1,X4,X5) != c_Expr_Oexp_OBinOp(X6,X2,X7,X5) ),
    c_0_886,
    [final] ).

cnf(c_0_1123,plain,
    ( X1 = X2
    | c_Expr_Oexp_OBinOp(X1,X3,X4,X5) != c_Expr_Oexp_OBinOp(X2,X6,X7,X5) ),
    c_0_887,
    [final] ).

cnf(c_0_1124,plain,
    ( X1 = X2
    | c_Expr_Oexp_OFAcc(X1,X3,X4,X5) != c_Expr_Oexp_OFAcc(X2,X6,X7,X5) ),
    c_0_888,
    [final] ).

cnf(c_0_1125,plain,
    ( X1 = X2
    | c_Expr_Oexp_OFAcc(X3,X1,X4,X5) != c_Expr_Oexp_OFAcc(X6,X2,X7,X5) ),
    c_0_889,
    [final] ).

cnf(c_0_1126,plain,
    ( X1 = X2
    | c_Expr_Oexp_OFAcc(X3,X4,X1,X5) != c_Expr_Oexp_OFAcc(X6,X7,X2,X5) ),
    c_0_890,
    [final] ).

cnf(c_0_1127,plain,
    ( X1 = X2
    | c_Pair(X1,X3,X4,X5) != c_Pair(X2,X6,X4,X5) ),
    c_0_891,
    [final] ).

cnf(c_0_1128,plain,
    ( X1 = X2
    | c_Pair(X3,X1,X4,X5) != c_Pair(X6,X2,X4,X5) ),
    c_0_892,
    [final] ).

cnf(c_0_1129,plain,
    ( hAPP(c_Map_Omap__add(X5,X2,X3,X4),X1) = hAPP(X2,X1)
    | ~ c_in(X1,c_Map_Odom(X2,X3,X4),X3) ),
    c_0_893,
    [final] ).

cnf(c_0_1130,plain,
    ( c_in(c_Pair(X1,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
    | c_in(X1,c_Relation_ODomain(X3,X2,X2),X2) ),
    c_0_894,
    [final] ).

cnf(c_0_1131,plain,
    ( c_in(c_Pair(X4,X4,X3,X3),X2,tc_prod(X3,X3))
    | ~ c_Relation_Orefl__on(X1,X2,X3)
    | ~ c_in(X4,X1,X3) ),
    c_0_895,
    [final] ).

cnf(c_0_1132,plain,
    ( c_in(c_Pair(X4,X4,X3,X3),X2,tc_prod(X3,X3))
    | ~ c_Relation_Orefl__on(X1,X2,X3)
    | ~ c_in(X4,X1,X3) ),
    c_0_896,
    [final] ).

cnf(c_0_1133,plain,
    ( c_in(c_Pair(X1,X1,X3,X3),c_Relation_OId__on(X2,X3),tc_prod(X3,X3))
    | ~ c_in(X1,X2,X3) ),
    c_0_897,
    [final] ).

cnf(c_0_1134,plain,
    ( c_in(X1,c_Map_Odom(X2,X3,X4),X3)
    | hAPP(c_Map_Omap__add(X2,X5,X3,X4),X1) = hAPP(X5,X1) ),
    c_0_898,
    [final] ).

cnf(c_0_1135,plain,
    ( c_in(X1,c_Map_Odom(X2,X3,X4),X3)
    | hAPP(c_Map_Omap__add(X5,X2,X3,X4),X1) = hAPP(X5,X1) ),
    c_0_899,
    [final] ).

cnf(c_0_1136,plain,
    ( c_lessequals(c_Map_Odom(X1,X3,X4),c_Map_Odom(X2,X3,X4),tc_fun(X3,tc_bool))
    | ~ c_Map_Omap__le(X1,X2,X3,X4) ),
    c_0_900,
    [final] ).

cnf(c_0_1137,plain,
    ( c_WellType_OWT(X1,X2,c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
    | ~ c_WellType_OWT(X1,X2,X3,c_Type_Oty_OClass(X4)) ),
    c_0_901,
    [final] ).

cnf(c_0_1138,plain,
    ( hAPP(X1,X5) = hAPP(X2,X5)
    | ~ c_Map_Omap__le(X1,X2,X3,X4)
    | ~ c_in(X5,c_Map_Odom(X1,X3,X4),X3) ),
    c_0_902,
    [final] ).

cnf(c_0_1139,plain,
    ( X5 = c_Type_Oty_OClass(X3)
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OCast(X3,X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    c_0_903,
    [final] ).

cnf(c_0_1140,plain,
    ( X5 = c_Type_Oty_OVoid
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OLAss(X3,X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    c_0_904,
    [final] ).

cnf(c_0_1141,plain,
    ( X3 = X2
    | c_Type_Oty_OClass(v_sko__TypeRel__Xwiden__Xcases__1(X1,X2,X3)) = X2
    | X2 = c_Type_Oty_ONT
    | ~ c_TypeRel_Owiden(X1,X2,X3,t_a) ),
    c_0_905,
    [final] ).

cnf(c_0_1142,plain,
    ( X3 = X2
    | c_Type_Oty_OClass(v_sko__TypeRel__Xwiden__Xcases__2(X1,X2,X3)) = X3
    | X2 = c_Type_Oty_ONT
    | ~ c_TypeRel_Owiden(X1,X2,X3,t_a) ),
    c_0_906,
    [final] ).

cnf(c_0_1143,plain,
    ( X4 = c_Type_Oty_OVoid
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4) ),
    c_0_907,
    [final] ).

cnf(c_0_1144,plain,
    ( c_lessequals(X1,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    c_0_908,
    [final] ).

cnf(c_0_1145,plain,
    ( c_in(X4,X2,X3)
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_in(X4,X1,X3) ),
    c_0_909,
    [final] ).

cnf(c_0_1146,plain,
    ( c_in(X4,X2,X3)
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_in(X4,X1,X3) ),
    c_0_910,
    [final] ).

cnf(c_0_1147,plain,
    ( c_in(X1,X4,X3)
    | ~ c_in(X1,X2,X3)
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    c_0_911,
    [final] ).

cnf(c_0_1148,plain,
    ( c_in(X4,X2,X3)
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_in(X4,X1,X3) ),
    c_0_912,
    [final] ).

cnf(c_0_1149,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
    c_0_913,
    [final] ).

cnf(c_0_1150,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
    c_0_914,
    [final] ).

cnf(c_0_1151,plain,
    ( c_lessequals(hAPP(X1,X5),hAPP(X2,X5),X4)
    | ~ c_lessequals(X1,X2,tc_fun(X3,X4))
    | ~ class_HOL_Oord(X4) ),
    c_0_915,
    [final] ).

cnf(c_0_1152,plain,
    ( c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_916,
    [final] ).

cnf(c_0_1153,plain,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    c_0_917,
    [final] ).

cnf(c_0_1154,plain,
    ( c_in(X1,c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3))
    | ~ c_in(X1,X2,tc_prod(X3,X3)) ),
    c_0_918,
    [final] ).

cnf(c_0_1155,plain,
    ( hBOOL(hAPP(X2,X4))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(X1,X4)) ),
    c_0_919,
    [final] ).

cnf(c_0_1156,plain,
    ( hBOOL(hAPP(X3,X2))
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
    c_0_920,
    [final] ).

cnf(c_0_1157,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_921,
    [final] ).

cnf(c_0_1158,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_922,
    [final] ).

cnf(c_0_1159,plain,
    ( X2 = X1
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_923,
    [final] ).

cnf(c_0_1160,plain,
    ( X1 = X2
    | c_Expr_Oexp_OCast(X1,X3,X4) != c_Expr_Oexp_OCast(X2,X5,X4) ),
    c_0_924,
    [final] ).

cnf(c_0_1161,plain,
    ( X1 = X2
    | c_Expr_Oexp_OCast(X3,X1,X4) != c_Expr_Oexp_OCast(X5,X2,X4) ),
    c_0_925,
    [final] ).

cnf(c_0_1162,plain,
    ( X1 = X2
    | c_Expr_Oexp_OLAss(X3,X1,X4) != c_Expr_Oexp_OLAss(X5,X2,X4) ),
    c_0_926,
    [final] ).

cnf(c_0_1163,plain,
    ( X1 = X2
    | c_Expr_Oexp_OLAss(X1,X3,X4) != c_Expr_Oexp_OLAss(X2,X5,X4) ),
    c_0_927,
    [final] ).

cnf(c_0_1164,plain,
    ( X1 = X2
    | c_Expr_Oexp_OSeq(X3,X1,X4) != c_Expr_Oexp_OSeq(X5,X2,X4) ),
    c_0_928,
    [final] ).

cnf(c_0_1165,plain,
    ( X1 = X2
    | c_Expr_Oexp_OSeq(X1,X3,X4) != c_Expr_Oexp_OSeq(X2,X5,X4) ),
    c_0_929,
    [final] ).

cnf(c_0_1166,plain,
    ( c_Relation_Orefl__on(X1,X2,X3)
    | ~ c_Equiv__Relations_Oequiv(X1,X2,X3) ),
    c_0_930,
    [final] ).

cnf(c_0_1167,plain,
    ( c_lessequals(X1,X2,X3)
    | c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_931,
    [final] ).

cnf(c_0_1168,plain,
    ( hBOOL(hAPP(X2,X1))
    | ~ c_in(X1,X2,X3) ),
    c_0_932,
    [final] ).

cnf(c_0_1169,plain,
    ( c_in(X2,X1,X3)
    | ~ hBOOL(hAPP(X1,X2)) ),
    c_0_933,
    [final] ).

cnf(c_0_1170,plain,
    ( X1 = X2
    | ~ c_fequal(X1,X2,X3) ),
    c_0_934,
    [final] ).

cnf(c_0_1171,plain,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    c_0_935,
    [final] ).

cnf(c_0_1172,plain,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Opreorder(X2) ),
    c_0_936,
    [final] ).

cnf(c_0_1173,plain,
    ( c_Objects_Ohext(X1,X3)
    | ~ c_Objects_Ohext(X1,X2)
    | ~ c_Objects_Ohext(X2,X3) ),
    c_0_937,
    [final] ).

cnf(c_0_1174,plain,
    ( X1 = X2
    | c_Expr_Oexp_Othrow(X1,X3) != c_Expr_Oexp_Othrow(X2,X3) ),
    c_0_938,
    [final] ).

cnf(c_0_1175,plain,
    ( X1 = X2
    | c_Expr_Oexp_OVal(X1,X3) != c_Expr_Oexp_OVal(X2,X3) ),
    c_0_939,
    [final] ).

cnf(c_0_1176,plain,
    ( class_Orderings_Opreorder(tc_fun(X2,X1))
    | ~ class_Orderings_Opreorder(X1) ),
    c_0_940,
    [final] ).

cnf(c_0_1177,plain,
    ( class_Orderings_Oorder(tc_fun(X2,X1))
    | ~ class_Orderings_Oorder(X1) ),
    c_0_941,
    [final] ).

cnf(c_0_1178,plain,
    ( class_HOL_Oord(tc_fun(X2,X1))
    | ~ class_HOL_Oord(X1) ),
    c_0_942,
    [final] ).

cnf(c_0_1179,plain,
    ( X1 = X2
    | c_Type_Oty_OClass(X1) != c_Type_Oty_OClass(X2) ),
    c_0_943,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_944_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X1,X9,X10,X6,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X6,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_944]) ).

cnf(c_0_944_1,axiom,
    ( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X1,X9,X10,X6,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X6,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_944]) ).

cnf(c_0_944_2,axiom,
    ( ~ c_in(c_Pair(c_Pair(X6,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X1,X9,X10,X6,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_944]) ).

cnf(c_0_945_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X1,X9,X6,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X6,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_945]) ).

cnf(c_0_945_1,axiom,
    ( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X1,X9,X6,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X6,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_945]) ).

cnf(c_0_945_2,axiom,
    ( ~ c_in(c_Pair(c_Pair(X6,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X1,X9,X6,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_945]) ).

cnf(c_0_946_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X1,X6,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X7,X8,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X6,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X7,X8,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_946]) ).

cnf(c_0_946_1,axiom,
    ( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X1,X6,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X7,X8,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X6,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X7,X8,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_946]) ).

cnf(c_0_946_2,axiom,
    ( ~ c_in(c_Pair(c_Pair(X6,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X7,X8,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X1,X6,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X7,X8,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_946]) ).

cnf(c_0_947_0,axiom,
    ( c_in(c_Pair(c_Pair(X1,c_Pair(X2,c_Map_Omap__add(X8,X3,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,c_Pair(X5,c_Map_Omap__add(X8,X6,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X7),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,c_Pair(X2,X3,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,c_Pair(X5,X6,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X7),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_947]) ).

cnf(c_0_947_1,axiom,
    ( ~ c_in(c_Pair(c_Pair(X1,c_Pair(X2,X3,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,c_Pair(X5,X6,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X7),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | c_in(c_Pair(c_Pair(X1,c_Pair(X2,c_Map_Omap__add(X8,X3,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,c_Pair(X5,c_Map_Omap__add(X8,X6,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X7),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_947]) ).

cnf(c_0_948_0,axiom,
    ( c_in(c_Pair(c_Pair(X1,c_Pair(X2,c_Map_Omap__add(X8,X3,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,c_Pair(X5,c_Map_Omap__add(X8,X6,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,c_Pair(X2,X3,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,c_Pair(X5,X6,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_948]) ).

cnf(c_0_948_1,axiom,
    ( ~ c_in(c_Pair(c_Pair(X1,c_Pair(X2,X3,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,c_Pair(X5,X6,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | c_in(c_Pair(c_Pair(X1,c_Pair(X2,c_Map_Omap__add(X8,X3,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,c_Pair(X5,c_Map_Omap__add(X8,X6,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_948]) ).

cnf(c_0_949_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X8,X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X8,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_949]) ).

cnf(c_0_949_1,axiom,
    ( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X8,X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X8,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_949]) ).

cnf(c_0_950_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OTryCatch(X1,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OTryCatch(X3,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_950]) ).

cnf(c_0_950_1,axiom,
    ( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | c_in(c_Pair(c_Pair(c_Expr_Oexp_OTryCatch(X1,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OTryCatch(X3,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_950]) ).

cnf(c_0_951_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X1,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAss(X3,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_951]) ).

cnf(c_0_951_1,axiom,
    ( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X1,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAss(X3,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_951]) ).

cnf(c_0_952_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OTryCatch(X1,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_952]) ).

cnf(c_0_952_1,axiom,
    ( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | c_in(c_Pair(c_Pair(c_Expr_Oexp_OTryCatch(X1,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OVal(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_952]) ).

cnf(c_0_953_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X1,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_953]) ).

cnf(c_0_953_1,axiom,
    ( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X1,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_953]) ).

cnf(c_0_954_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_954]) ).

cnf(c_0_954_1,axiom,
    ( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_954]) ).

cnf(c_0_955_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCall(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCall(X3,X6,X7,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_955]) ).

cnf(c_0_955_1,axiom,
    ( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | c_in(c_Pair(c_Pair(c_Expr_Oexp_OCall(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCall(X3,X6,X7,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_955]) ).

cnf(c_0_956_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OBinOp(X3,X6,X7,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_956]) ).

cnf(c_0_956_1,axiom,
    ( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OBinOp(X3,X6,X7,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_956]) ).

cnf(c_0_957_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCond(X3,X6,X7,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_957]) ).

cnf(c_0_957_1,axiom,
    ( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCond(X3,X6,X7,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_957]) ).

cnf(c_0_958_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAcc(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAcc(X3,X6,X7,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_958]) ).

cnf(c_0_958_1,axiom,
    ( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAcc(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAcc(X3,X6,X7,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_958]) ).

cnf(c_0_959_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_959]) ).

cnf(c_0_959_1,axiom,
    ( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_959]) ).

cnf(c_0_960_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_960]) ).

cnf(c_0_960_1,axiom,
    ( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_960]) ).

cnf(c_0_961_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCall(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_961]) ).

cnf(c_0_961_1,axiom,
    ( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | c_in(c_Pair(c_Pair(c_Expr_Oexp_OCall(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_961]) ).

cnf(c_0_962_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAcc(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_962]) ).

cnf(c_0_962_1,axiom,
    ( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAcc(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_962]) ).

cnf(c_0_963_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X6,X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCast(X6,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_963]) ).

cnf(c_0_963_1,axiom,
    ( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X6,X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCast(X6,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_963]) ).

cnf(c_0_964_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X6,X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OLAss(X6,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_964]) ).

cnf(c_0_964_1,axiom,
    ( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X6,X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OLAss(X6,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_964]) ).

cnf(c_0_965_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X1,X6,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OSeq(X3,X6,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_965]) ).

cnf(c_0_965_1,axiom,
    ( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X1,X6,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OSeq(X3,X6,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_965]) ).

cnf(c_0_966_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X6,X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_966]) ).

cnf(c_0_966_1,axiom,
    ( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X6,X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_966]) ).

cnf(c_0_967_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X6,X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_967]) ).

cnf(c_0_967_1,axiom,
    ( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X6,X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_967]) ).

cnf(c_0_968_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X1,X6,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_968]) ).

cnf(c_0_968_1,axiom,
    ( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X1,X6,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_968]) ).

cnf(c_0_969_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_Othrow(X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_969]) ).

cnf(c_0_969_1,axiom,
    ( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | c_in(c_Pair(c_Pair(c_Expr_Oexp_Othrow(X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_969]) ).

cnf(c_0_970_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_Othrow(X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_970]) ).

cnf(c_0_970_1,axiom,
    ( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | c_in(c_Pair(c_Pair(c_Expr_Oexp_Othrow(X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X5),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_970]) ).

cnf(c_0_971_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X8,X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X8,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_971]) ).

cnf(c_0_971_1,axiom,
    ( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X8,X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X8,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_971]) ).

cnf(c_0_972_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OTryCatch(X1,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OTryCatch(X3,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_972]) ).

cnf(c_0_972_1,axiom,
    ( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | c_in(c_Pair(c_Pair(c_Expr_Oexp_OTryCatch(X1,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OTryCatch(X3,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_972]) ).

cnf(c_0_973_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X1,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAss(X3,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_973]) ).

cnf(c_0_973_1,axiom,
    ( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAss(X1,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAss(X3,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_973]) ).

cnf(c_0_974_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_974]) ).

cnf(c_0_974_1,axiom,
    ( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OBinOp(c_Expr_Oexp_OVal(X6,tc_List_Olist(tc_String_Ochar)),X7,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_974]) ).

cnf(c_0_975_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCond(X3,X6,X7,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_975]) ).

cnf(c_0_975_1,axiom,
    ( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | c_in(c_Pair(c_Pair(c_Expr_Oexp_OCond(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCond(X3,X6,X7,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_975]) ).

cnf(c_0_976_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAcc(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAcc(X3,X6,X7,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_976]) ).

cnf(c_0_976_1,axiom,
    ( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | c_in(c_Pair(c_Pair(c_Expr_Oexp_OFAcc(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OFAcc(X3,X6,X7,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_976]) ).

cnf(c_0_977_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCall(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCall(X3,X6,X7,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_977]) ).

cnf(c_0_977_1,axiom,
    ( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | c_in(c_Pair(c_Pair(c_Expr_Oexp_OCall(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCall(X3,X6,X7,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_977]) ).

cnf(c_0_978_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OBinOp(X3,X6,X7,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_978]) ).

cnf(c_0_978_1,axiom,
    ( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | c_in(c_Pair(c_Pair(c_Expr_Oexp_OBinOp(X1,X6,X7,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OBinOp(X3,X6,X7,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_978]) ).

cnf(c_0_979_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X6,X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCast(X6,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_979]) ).

cnf(c_0_979_1,axiom,
    ( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | c_in(c_Pair(c_Pair(c_Expr_Oexp_OCast(X6,X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OCast(X6,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_979]) ).

cnf(c_0_980_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X1,X6,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OSeq(X3,X6,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_980]) ).

cnf(c_0_980_1,axiom,
    ( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | c_in(c_Pair(c_Pair(c_Expr_Oexp_OSeq(X1,X6,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OSeq(X3,X6,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_980]) ).

cnf(c_0_981_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X6,X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OLAss(X6,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_981]) ).

cnf(c_0_981_1,axiom,
    ( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | c_in(c_Pair(c_Pair(c_Expr_Oexp_OLAss(X6,X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_OLAss(X6,X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_981]) ).

cnf(c_0_982_0,axiom,
    ( c_in(c_Pair(c_Pair(c_Expr_Oexp_Othrow(X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_982]) ).

cnf(c_0_982_1,axiom,
    ( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | c_in(c_Pair(c_Pair(c_Expr_Oexp_Othrow(X1,tc_List_Olist(tc_String_Ochar)),X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_982]) ).

cnf(c_0_983_0,axiom,
    ( c_TypeRel_Ohas__field(X1,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X6,X3,X5,X1,X4,X2,X7),X5,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X6,X3,X5,X1,X4,X2,X7),X6,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | c_WellTypeRT_OWTrt(X1,X2,X3,X7,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(X3,X1,X2,X7))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(literals_permutation,[status(thm)],[c_0_983]) ).

cnf(c_0_983_1,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X7,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(X3,X1,X2,X7))
    | c_TypeRel_Ohas__field(X1,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X6,X3,X5,X1,X4,X2,X7),X5,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X6,X3,X5,X1,X4,X2,X7),X6,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(literals_permutation,[status(thm)],[c_0_983]) ).

cnf(c_0_983_2,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8)
    | c_WellTypeRT_OWTrt(X1,X2,X3,X7,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(X3,X1,X2,X7))
    | c_TypeRel_Ohas__field(X1,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X6,X3,X5,X1,X4,X2,X7),X5,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X6,X3,X5,X1,X4,X2,X7),X6,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    inference(literals_permutation,[status(thm)],[c_0_983]) ).

cnf(c_0_984_0,axiom,
    ( c_TypeRel_Ohas__field(X1,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X6,X3,X5,X1,X4,X2,X7),X5,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X6,X3,X5,X1,X4,X2,X7),X6,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(literals_permutation,[status(thm)],[c_0_984]) ).

cnf(c_0_984_1,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT)
    | c_TypeRel_Ohas__field(X1,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X6,X3,X5,X1,X4,X2,X7),X5,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X6,X3,X5,X1,X4,X2,X7),X6,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(literals_permutation,[status(thm)],[c_0_984]) ).

cnf(c_0_984_2,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8)
    | c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT)
    | c_TypeRel_Ohas__field(X1,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X6,X3,X5,X1,X4,X2,X7),X5,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X6,X3,X5,X1,X4,X2,X7),X6,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    inference(literals_permutation,[status(thm)],[c_0_984]) ).

cnf(c_0_985_0,axiom,
    ( c_TypeRel_Ohas__field(X1,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X6,X3,X5,X1,X4,X2,X7),X5,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X6,X3,X5,X1,X4,X2,X7),X6,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | X8 = c_Type_Oty_OVoid
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(literals_permutation,[status(thm)],[c_0_985]) ).

cnf(c_0_985_1,axiom,
    ( X8 = c_Type_Oty_OVoid
    | c_TypeRel_Ohas__field(X1,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X6,X3,X5,X1,X4,X2,X7),X5,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X6,X3,X5,X1,X4,X2,X7),X6,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(literals_permutation,[status(thm)],[c_0_985]) ).

cnf(c_0_985_2,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8)
    | X8 = c_Type_Oty_OVoid
    | c_TypeRel_Ohas__field(X1,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X6,X3,X5,X1,X4,X2,X7),X5,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X6,X3,X5,X1,X4,X2,X7),X6,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    inference(literals_permutation,[status(thm)],[c_0_985]) ).

cnf(c_0_986_0,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X6,X3,X5,X1,X4,X2,X7)))
    | c_WellTypeRT_OWTrt(X1,X2,X3,X7,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(X3,X1,X2,X7))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(literals_permutation,[status(thm)],[c_0_986]) ).

cnf(c_0_986_1,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X7,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(X3,X1,X2,X7))
    | c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X6,X3,X5,X1,X4,X2,X7)))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(literals_permutation,[status(thm)],[c_0_986]) ).

cnf(c_0_986_2,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8)
    | c_WellTypeRT_OWTrt(X1,X2,X3,X7,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(X3,X1,X2,X7))
    | c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X6,X3,X5,X1,X4,X2,X7))) ),
    inference(literals_permutation,[status(thm)],[c_0_986]) ).

cnf(c_0_987_0,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X6,X3,X5,X1,X4,X2,X7)))
    | c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(literals_permutation,[status(thm)],[c_0_987]) ).

cnf(c_0_987_1,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT)
    | c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X6,X3,X5,X1,X4,X2,X7)))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(literals_permutation,[status(thm)],[c_0_987]) ).

cnf(c_0_987_2,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8)
    | c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT)
    | c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X6,X3,X5,X1,X4,X2,X7))) ),
    inference(literals_permutation,[status(thm)],[c_0_987]) ).

cnf(c_0_988_0,axiom,
    ( c_TypeRel_Owiden(X1,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X6,X3,X5,X1,X4,X2,X7),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X6,X3,X5,X1,X4,X2,X7),tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | c_WellTypeRT_OWTrt(X1,X2,X3,X7,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(X3,X1,X2,X7))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(literals_permutation,[status(thm)],[c_0_988]) ).

cnf(c_0_988_1,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X7,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(X3,X1,X2,X7))
    | c_TypeRel_Owiden(X1,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X6,X3,X5,X1,X4,X2,X7),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X6,X3,X5,X1,X4,X2,X7),tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(literals_permutation,[status(thm)],[c_0_988]) ).

cnf(c_0_988_2,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8)
    | c_WellTypeRT_OWTrt(X1,X2,X3,X7,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(X3,X1,X2,X7))
    | c_TypeRel_Owiden(X1,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X6,X3,X5,X1,X4,X2,X7),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X6,X3,X5,X1,X4,X2,X7),tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    inference(literals_permutation,[status(thm)],[c_0_988]) ).

cnf(c_0_989_0,axiom,
    ( c_TypeRel_Owiden(X1,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X6,X3,X5,X1,X4,X2,X7),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X6,X3,X5,X1,X4,X2,X7),tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(literals_permutation,[status(thm)],[c_0_989]) ).

cnf(c_0_989_1,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT)
    | c_TypeRel_Owiden(X1,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X6,X3,X5,X1,X4,X2,X7),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X6,X3,X5,X1,X4,X2,X7),tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(literals_permutation,[status(thm)],[c_0_989]) ).

cnf(c_0_989_2,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8)
    | c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT)
    | c_TypeRel_Owiden(X1,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X6,X3,X5,X1,X4,X2,X7),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X6,X3,X5,X1,X4,X2,X7),tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    inference(literals_permutation,[status(thm)],[c_0_989]) ).

cnf(c_0_990_0,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X6,X3,X5,X1,X4,X2,X7)))
    | X8 = c_Type_Oty_OVoid
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(literals_permutation,[status(thm)],[c_0_990]) ).

cnf(c_0_990_1,axiom,
    ( X8 = c_Type_Oty_OVoid
    | c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X6,X3,X5,X1,X4,X2,X7)))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(literals_permutation,[status(thm)],[c_0_990]) ).

cnf(c_0_990_2,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8)
    | X8 = c_Type_Oty_OVoid
    | c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X6,X3,X5,X1,X4,X2,X7))) ),
    inference(literals_permutation,[status(thm)],[c_0_990]) ).

cnf(c_0_991_0,axiom,
    ( c_TypeRel_Owiden(X1,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X6,X3,X5,X1,X4,X2,X7),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X6,X3,X5,X1,X4,X2,X7),tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | X8 = c_Type_Oty_OVoid
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(literals_permutation,[status(thm)],[c_0_991]) ).

cnf(c_0_991_1,axiom,
    ( X8 = c_Type_Oty_OVoid
    | c_TypeRel_Owiden(X1,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X6,X3,X5,X1,X4,X2,X7),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X6,X3,X5,X1,X4,X2,X7),tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(literals_permutation,[status(thm)],[c_0_991]) ).

cnf(c_0_991_2,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8)
    | X8 = c_Type_Oty_OVoid
    | c_TypeRel_Owiden(X1,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X6,X3,X5,X1,X4,X2,X7),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X6,X3,X5,X1,X4,X2,X7),tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    inference(literals_permutation,[status(thm)],[c_0_991]) ).

cnf(c_0_992_0,axiom,
    ( c_Conform_Olconf(X7,X5,X6,X8,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_in(c_Pair(c_Pair(X1,c_Pair(X2,X3,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,c_Pair(X5,X6,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_WellTypeRT_OWTrt(X7,X2,X8,X1,X9)
    | ~ c_Conform_Olconf(X7,X2,X3,X8,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    inference(literals_permutation,[status(thm)],[c_0_992]) ).

cnf(c_0_992_1,axiom,
    ( ~ c_in(c_Pair(c_Pair(X1,c_Pair(X2,X3,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,c_Pair(X5,X6,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | c_Conform_Olconf(X7,X5,X6,X8,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellTypeRT_OWTrt(X7,X2,X8,X1,X9)
    | ~ c_Conform_Olconf(X7,X2,X3,X8,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    inference(literals_permutation,[status(thm)],[c_0_992]) ).

cnf(c_0_992_2,axiom,
    ( ~ c_WellTypeRT_OWTrt(X7,X2,X8,X1,X9)
    | ~ c_in(c_Pair(c_Pair(X1,c_Pair(X2,X3,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,c_Pair(X5,X6,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | c_Conform_Olconf(X7,X5,X6,X8,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_Conform_Olconf(X7,X2,X3,X8,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    inference(literals_permutation,[status(thm)],[c_0_992]) ).

cnf(c_0_992_3,axiom,
    ( ~ c_Conform_Olconf(X7,X2,X3,X8,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellTypeRT_OWTrt(X7,X2,X8,X1,X9)
    | ~ c_in(c_Pair(c_Pair(X1,c_Pair(X2,X3,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,c_Pair(X5,X6,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | c_Conform_Olconf(X7,X5,X6,X8,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    inference(literals_permutation,[status(thm)],[c_0_992]) ).

cnf(c_0_993_0,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1(X6,X3,X5,X1,X7,X4,X2)))
    | c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAcc(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    inference(literals_permutation,[status(thm)],[c_0_993]) ).

cnf(c_0_993_1,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT)
    | c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1(X6,X3,X5,X1,X7,X4,X2)))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAcc(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    inference(literals_permutation,[status(thm)],[c_0_993]) ).

cnf(c_0_993_2,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAcc(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT)
    | c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1(X6,X3,X5,X1,X7,X4,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_993]) ).

cnf(c_0_994_0,axiom,
    ( c_Conform_Ohconf(X7,X5,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_in(c_Pair(c_Pair(X1,c_Pair(X2,X3,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,c_Pair(X5,X6,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_WellTypeRT_OWTrt(X7,X2,X8,X1,X9)
    | ~ c_Conform_Ohconf(X7,X2,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    inference(literals_permutation,[status(thm)],[c_0_994]) ).

cnf(c_0_994_1,axiom,
    ( ~ c_in(c_Pair(c_Pair(X1,c_Pair(X2,X3,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,c_Pair(X5,X6,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | c_Conform_Ohconf(X7,X5,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellTypeRT_OWTrt(X7,X2,X8,X1,X9)
    | ~ c_Conform_Ohconf(X7,X2,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    inference(literals_permutation,[status(thm)],[c_0_994]) ).

cnf(c_0_994_2,axiom,
    ( ~ c_WellTypeRT_OWTrt(X7,X2,X8,X1,X9)
    | ~ c_in(c_Pair(c_Pair(X1,c_Pair(X2,X3,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,c_Pair(X5,X6,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | c_Conform_Ohconf(X7,X5,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_Conform_Ohconf(X7,X2,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    inference(literals_permutation,[status(thm)],[c_0_994]) ).

cnf(c_0_994_3,axiom,
    ( ~ c_Conform_Ohconf(X7,X2,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellTypeRT_OWTrt(X7,X2,X8,X1,X9)
    | ~ c_in(c_Pair(c_Pair(X1,c_Pair(X2,X3,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,c_Pair(X5,X6,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | c_Conform_Ohconf(X7,X5,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    inference(literals_permutation,[status(thm)],[c_0_994]) ).

cnf(c_0_995_0,axiom,
    ( c_lessequals(c_Map_Odom(X3,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Map_Odom(X6,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | ~ c_in(c_Pair(c_Pair(X1,c_Pair(X2,X3,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,c_Pair(X5,X6,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_995]) ).

cnf(c_0_995_1,axiom,
    ( ~ c_in(c_Pair(c_Pair(X1,c_Pair(X2,X3,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,c_Pair(X5,X6,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | c_lessequals(c_Map_Odom(X3,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Map_Odom(X6,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_995]) ).

cnf(c_0_996_0,axiom,
    ( c_Objects_Ohext(X2,X5)
    | ~ c_in(c_Pair(c_Pair(X1,c_Pair(X2,X3,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,c_Pair(X5,X6,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_996]) ).

cnf(c_0_996_1,axiom,
    ( ~ c_in(c_Pair(c_Pair(X1,c_Pair(X2,X3,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,c_Pair(X5,X6,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X7),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | c_Objects_Ohext(X2,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_996]) ).

cnf(c_0_997_0,axiom,
    ( c_BigStep_Oeval(X1,X2,X3,X6,X7)
    | ~ c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_in(c_Pair(c_Pair(X2,X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X1),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_BigStep_Oeval(X1,X4,X5,X6,X7) ),
    inference(literals_permutation,[status(thm)],[c_0_997]) ).

cnf(c_0_997_1,axiom,
    ( ~ c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | c_BigStep_Oeval(X1,X2,X3,X6,X7)
    | ~ c_in(c_Pair(c_Pair(X2,X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X1),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_BigStep_Oeval(X1,X4,X5,X6,X7) ),
    inference(literals_permutation,[status(thm)],[c_0_997]) ).

cnf(c_0_997_2,axiom,
    ( ~ c_in(c_Pair(c_Pair(X2,X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X1),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | c_BigStep_Oeval(X1,X2,X3,X6,X7)
    | ~ c_BigStep_Oeval(X1,X4,X5,X6,X7) ),
    inference(literals_permutation,[status(thm)],[c_0_997]) ).

cnf(c_0_997_3,axiom,
    ( ~ c_BigStep_Oeval(X1,X4,X5,X6,X7)
    | ~ c_in(c_Pair(c_Pair(X2,X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X1),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | c_BigStep_Oeval(X1,X2,X3,X6,X7) ),
    inference(literals_permutation,[status(thm)],[c_0_997]) ).

cnf(c_0_998_0,axiom,
    ( c_BigStep_Oeval(X1,X2,X3,X6,X7)
    | ~ c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_in(c_Pair(c_Pair(X2,X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X1),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_BigStep_Oeval(X1,X4,X5,X6,X7) ),
    inference(literals_permutation,[status(thm)],[c_0_998]) ).

cnf(c_0_998_1,axiom,
    ( ~ c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | c_BigStep_Oeval(X1,X2,X3,X6,X7)
    | ~ c_in(c_Pair(c_Pair(X2,X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X1),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_BigStep_Oeval(X1,X4,X5,X6,X7) ),
    inference(literals_permutation,[status(thm)],[c_0_998]) ).

cnf(c_0_998_2,axiom,
    ( ~ c_in(c_Pair(c_Pair(X2,X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X1),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | c_BigStep_Oeval(X1,X2,X3,X6,X7)
    | ~ c_BigStep_Oeval(X1,X4,X5,X6,X7) ),
    inference(literals_permutation,[status(thm)],[c_0_998]) ).

cnf(c_0_998_3,axiom,
    ( ~ c_BigStep_Oeval(X1,X4,X5,X6,X7)
    | ~ c_in(c_Pair(c_Pair(X2,X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X1),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | c_BigStep_Oeval(X1,X2,X3,X6,X7) ),
    inference(literals_permutation,[status(thm)],[c_0_998]) ).

cnf(c_0_999_0,axiom,
    ( c_TypeSafe__Mirabelle_Osconf(X5,X6,X4)
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_WellTypeRT_OWTrt(X5,c_State_Ohp(X2),X6,X1,X7)
    | ~ c_TypeSafe__Mirabelle_Osconf(X5,X6,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_999]) ).

cnf(c_0_999_1,axiom,
    ( ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | c_TypeSafe__Mirabelle_Osconf(X5,X6,X4)
    | ~ c_WellTypeRT_OWTrt(X5,c_State_Ohp(X2),X6,X1,X7)
    | ~ c_TypeSafe__Mirabelle_Osconf(X5,X6,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_999]) ).

cnf(c_0_999_2,axiom,
    ( ~ c_WellTypeRT_OWTrt(X5,c_State_Ohp(X2),X6,X1,X7)
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | c_TypeSafe__Mirabelle_Osconf(X5,X6,X4)
    | ~ c_TypeSafe__Mirabelle_Osconf(X5,X6,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_999]) ).

cnf(c_0_999_3,axiom,
    ( ~ c_TypeSafe__Mirabelle_Osconf(X5,X6,X2)
    | ~ c_WellTypeRT_OWTrt(X5,c_State_Ohp(X2),X6,X1,X7)
    | ~ c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X5),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | c_TypeSafe__Mirabelle_Osconf(X5,X6,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_999]) ).

cnf(c_0_1000_0,axiom,
    ( c_TypeRel_Ohas__field(X1,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1(X6,X3,X5,X1,X7,X4,X2),X5,X7,X6,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAcc(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1000]) ).

cnf(c_0_1000_1,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT)
    | c_TypeRel_Ohas__field(X1,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1(X6,X3,X5,X1,X7,X4,X2),X5,X7,X6,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAcc(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1000]) ).

cnf(c_0_1000_2,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAcc(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT)
    | c_TypeRel_Ohas__field(X1,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1(X6,X3,X5,X1,X7,X4,X2),X5,X7,X6,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1000]) ).

cnf(c_0_1001_0,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X7,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X6,X3,X5,X1,X4,X2,X7))
    | c_WellTypeRT_OWTrt(X1,X2,X3,X7,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(X3,X1,X2,X7))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(literals_permutation,[status(thm)],[c_0_1001]) ).

cnf(c_0_1001_1,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X7,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(X3,X1,X2,X7))
    | c_WellTypeRT_OWTrt(X1,X2,X3,X7,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X6,X3,X5,X1,X4,X2,X7))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(literals_permutation,[status(thm)],[c_0_1001]) ).

cnf(c_0_1001_2,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8)
    | c_WellTypeRT_OWTrt(X1,X2,X3,X7,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(X3,X1,X2,X7))
    | c_WellTypeRT_OWTrt(X1,X2,X3,X7,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X6,X3,X5,X1,X4,X2,X7)) ),
    inference(literals_permutation,[status(thm)],[c_0_1001]) ).

cnf(c_0_1002_0,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X7,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X6,X3,X5,X1,X4,X2,X7))
    | c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(literals_permutation,[status(thm)],[c_0_1002]) ).

cnf(c_0_1002_1,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT)
    | c_WellTypeRT_OWTrt(X1,X2,X3,X7,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X6,X3,X5,X1,X4,X2,X7))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(literals_permutation,[status(thm)],[c_0_1002]) ).

cnf(c_0_1002_2,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8)
    | c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT)
    | c_WellTypeRT_OWTrt(X1,X2,X3,X7,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X6,X3,X5,X1,X4,X2,X7)) ),
    inference(literals_permutation,[status(thm)],[c_0_1002]) ).

cnf(c_0_1003_0,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X7,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X6,X3,X5,X1,X4,X2,X7))
    | X8 = c_Type_Oty_OVoid
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(literals_permutation,[status(thm)],[c_0_1003]) ).

cnf(c_0_1003_1,axiom,
    ( X8 = c_Type_Oty_OVoid
    | c_WellTypeRT_OWTrt(X1,X2,X3,X7,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X6,X3,X5,X1,X4,X2,X7))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(literals_permutation,[status(thm)],[c_0_1003]) ).

cnf(c_0_1003_2,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8)
    | X8 = c_Type_Oty_OVoid
    | c_WellTypeRT_OWTrt(X1,X2,X3,X7,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X6,X3,X5,X1,X4,X2,X7)) ),
    inference(literals_permutation,[status(thm)],[c_0_1003]) ).

cnf(c_0_1004_0,axiom,
    ( c_in(c_Pair(c_Pair(X2,X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X1),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_BigStep_Oeval(X1,X2,X3,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1004]) ).

cnf(c_0_1004_1,axiom,
    ( ~ c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | c_in(c_Pair(c_Pair(X2,X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X1),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | ~ c_BigStep_Oeval(X1,X2,X3,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1004]) ).

cnf(c_0_1004_2,axiom,
    ( ~ c_BigStep_Oeval(X1,X2,X3,X4,X5)
    | ~ c_WellForm_Owf__prog(c_WWellForm_Owwf__J__mdecl,X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | c_in(c_Pair(c_Pair(X2,X3,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X4,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_Transitive__Closure_Ortrancl(c_SmallStep_Ored(X1),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(literals_permutation,[status(thm)],[c_0_1004]) ).

cnf(c_0_1005_0,axiom,
    ( c_TypeRel_Osees__field(X1,c_WellType_Osko__WellType__XWT__elim__cases__8__1(X5,X2,X4,X1,X3,X6),X4,c_WellType_Osko__WellType__XWT__elim__cases__8__2(X5,X2,X4,X1,X3,X6),X5,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OFAss(X3,X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1005]) ).

cnf(c_0_1005_1,axiom,
    ( ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OFAss(X3,X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | c_TypeRel_Osees__field(X1,c_WellType_Osko__WellType__XWT__elim__cases__8__1(X5,X2,X4,X1,X3,X6),X4,c_WellType_Osko__WellType__XWT__elim__cases__8__2(X5,X2,X4,X1,X3,X6),X5,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1005]) ).

cnf(c_0_1006_0,axiom,
    ( c_TypeRel_Owiden(X1,c_WellType_Osko__WellType__XWT__elim__cases__8__3(X5,X2,X4,X1,X3,X6),c_WellType_Osko__WellType__XWT__elim__cases__8__2(X5,X2,X4,X1,X3,X6),tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OFAss(X3,X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1006]) ).

cnf(c_0_1006_1,axiom,
    ( ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OFAss(X3,X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | c_TypeRel_Owiden(X1,c_WellType_Osko__WellType__XWT__elim__cases__8__3(X5,X2,X4,X1,X3,X6),c_WellType_Osko__WellType__XWT__elim__cases__8__2(X5,X2,X4,X1,X3,X6),tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1006]) ).

cnf(c_0_1007_0,axiom,
    ( c_WellType_OWT(X1,X2,X3,c_Type_Oty_OClass(c_WellType_Osko__WellType__XWT__elim__cases__8__1(X5,X2,X4,X1,X3,X6)))
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OFAss(X3,X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1007]) ).

cnf(c_0_1007_1,axiom,
    ( ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OFAss(X3,X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | c_WellType_OWT(X1,X2,X3,c_Type_Oty_OClass(c_WellType_Osko__WellType__XWT__elim__cases__8__1(X5,X2,X4,X1,X3,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_1007]) ).

cnf(c_0_1008_0,axiom,
    ( c_WellType_OWT(X1,X2,X3,c_Type_Oty_OClass(c_WellType_Osko__WellType__XWT__elim__cases__7__1(X5,X2,X4,X1,X6,X3)))
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OFAcc(X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1008]) ).

cnf(c_0_1008_1,axiom,
    ( ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OFAcc(X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6)
    | c_WellType_OWT(X1,X2,X3,c_Type_Oty_OClass(c_WellType_Osko__WellType__XWT__elim__cases__7__1(X5,X2,X4,X1,X6,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1008]) ).

cnf(c_0_1009_0,axiom,
    ( c_TypeRel_Osees__field(X1,c_WellType_Osko__WellType__XWT__elim__cases__7__1(X5,X2,X4,X1,X6,X3),X4,X6,X5,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OFAcc(X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1009]) ).

cnf(c_0_1009_1,axiom,
    ( ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OFAcc(X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6)
    | c_TypeRel_Osees__field(X1,c_WellType_Osko__WellType__XWT__elim__cases__7__1(X5,X2,X4,X1,X6,X3),X4,X6,X5,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1009]) ).

cnf(c_0_1010_0,axiom,
    ( X7 = X4
    | ~ c_TypeRel_Osees__field(X1,X2,X3,X4,X5,X6)
    | ~ c_TypeRel_Osees__field(X1,X2,X3,X7,X8,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1010]) ).

cnf(c_0_1010_1,axiom,
    ( ~ c_TypeRel_Osees__field(X1,X2,X3,X4,X5,X6)
    | X7 = X4
    | ~ c_TypeRel_Osees__field(X1,X2,X3,X7,X8,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1010]) ).

cnf(c_0_1010_2,axiom,
    ( ~ c_TypeRel_Osees__field(X1,X2,X3,X7,X8,X6)
    | ~ c_TypeRel_Osees__field(X1,X2,X3,X4,X5,X6)
    | X7 = X4 ),
    inference(literals_permutation,[status(thm)],[c_0_1010]) ).

cnf(c_0_1011_0,axiom,
    ( X8 = X5
    | ~ c_TypeRel_Osees__field(X1,X2,X3,X4,X5,X6)
    | ~ c_TypeRel_Osees__field(X1,X2,X3,X7,X8,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1011]) ).

cnf(c_0_1011_1,axiom,
    ( ~ c_TypeRel_Osees__field(X1,X2,X3,X4,X5,X6)
    | X8 = X5
    | ~ c_TypeRel_Osees__field(X1,X2,X3,X7,X8,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1011]) ).

cnf(c_0_1011_2,axiom,
    ( ~ c_TypeRel_Osees__field(X1,X2,X3,X7,X8,X6)
    | ~ c_TypeRel_Osees__field(X1,X2,X3,X4,X5,X6)
    | X8 = X5 ),
    inference(literals_permutation,[status(thm)],[c_0_1011]) ).

cnf(c_0_1012_0,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X6,X8,X9,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OClass(X5))
    | ~ c_TypeRel_Ohas__field(X1,X5,X6,X7,X8,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X9,X10)
    | ~ c_TypeRel_Owiden(X1,X10,X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1012]) ).

cnf(c_0_1012_1,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OClass(X5))
    | c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X6,X8,X9,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
    | ~ c_TypeRel_Ohas__field(X1,X5,X6,X7,X8,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X9,X10)
    | ~ c_TypeRel_Owiden(X1,X10,X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1012]) ).

cnf(c_0_1012_2,axiom,
    ( ~ c_TypeRel_Ohas__field(X1,X5,X6,X7,X8,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OClass(X5))
    | c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X6,X8,X9,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X9,X10)
    | ~ c_TypeRel_Owiden(X1,X10,X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1012]) ).

cnf(c_0_1012_3,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X2,X3,X9,X10)
    | ~ c_TypeRel_Ohas__field(X1,X5,X6,X7,X8,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OClass(X5))
    | c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X6,X8,X9,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
    | ~ c_TypeRel_Owiden(X1,X10,X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1012]) ).

cnf(c_0_1012_4,axiom,
    ( ~ c_TypeRel_Owiden(X1,X10,X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X9,X10)
    | ~ c_TypeRel_Ohas__field(X1,X5,X6,X7,X8,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OClass(X5))
    | c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X6,X8,X9,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid) ),
    inference(literals_permutation,[status(thm)],[c_0_1012]) ).

cnf(c_0_1013_0,axiom,
    ( c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X6,X8,X9,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X4,c_Type_Oty_OClass(X5))
    | ~ c_TypeRel_Ohas__field(X1,X5,X6,X7,X8,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X9,X10)
    | ~ c_TypeRel_Owiden(X1,X10,X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1013]) ).

cnf(c_0_1013_1,axiom,
    ( ~ c_Progress_OWTrt_H(X1,X2,X3,X4,c_Type_Oty_OClass(X5))
    | c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X6,X8,X9,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
    | ~ c_TypeRel_Ohas__field(X1,X5,X6,X7,X8,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X9,X10)
    | ~ c_TypeRel_Owiden(X1,X10,X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1013]) ).

cnf(c_0_1013_2,axiom,
    ( ~ c_TypeRel_Ohas__field(X1,X5,X6,X7,X8,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X4,c_Type_Oty_OClass(X5))
    | c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X6,X8,X9,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X9,X10)
    | ~ c_TypeRel_Owiden(X1,X10,X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1013]) ).

cnf(c_0_1013_3,axiom,
    ( ~ c_Progress_OWTrt_H(X1,X2,X3,X9,X10)
    | ~ c_TypeRel_Ohas__field(X1,X5,X6,X7,X8,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X4,c_Type_Oty_OClass(X5))
    | c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X6,X8,X9,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
    | ~ c_TypeRel_Owiden(X1,X10,X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1013]) ).

cnf(c_0_1013_4,axiom,
    ( ~ c_TypeRel_Owiden(X1,X10,X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X9,X10)
    | ~ c_TypeRel_Ohas__field(X1,X5,X6,X7,X8,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X4,c_Type_Oty_OClass(X5))
    | c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X6,X8,X9,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid) ),
    inference(literals_permutation,[status(thm)],[c_0_1013]) ).

cnf(c_0_1014_0,axiom,
    ( c_WellType_OWT(X1,X2,X6,c_WellType_Osko__WellType__XWT__elim__cases__8__3(X5,X2,X4,X1,X3,X6))
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OFAss(X3,X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1014]) ).

cnf(c_0_1014_1,axiom,
    ( ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OFAss(X3,X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | c_WellType_OWT(X1,X2,X6,c_WellType_Osko__WellType__XWT__elim__cases__8__3(X5,X2,X4,X1,X3,X6)) ),
    inference(literals_permutation,[status(thm)],[c_0_1014]) ).

cnf(c_0_1015_0,axiom,
    ( c_TypeRel_Ohas__field(X1,X2,X3,X4,X5,X6)
    | ~ c_TypeRel_Osees__field(X1,X2,X3,X4,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1015]) ).

cnf(c_0_1015_1,axiom,
    ( ~ c_TypeRel_Osees__field(X1,X2,X3,X4,X5,X6)
    | c_TypeRel_Ohas__field(X1,X2,X3,X4,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1015]) ).

cnf(c_0_1016_0,axiom,
    ( c_TypeRel_Osees__field(X1,X5,X3,X4,X5,X6)
    | ~ c_TypeRel_Osees__field(X1,X2,X3,X4,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1016]) ).

cnf(c_0_1016_1,axiom,
    ( ~ c_TypeRel_Osees__field(X1,X2,X3,X4,X5,X6)
    | c_TypeRel_Osees__field(X1,X5,X3,X4,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1016]) ).

cnf(c_0_1017_0,axiom,
    ( c_WellType_OWT(X1,X2,c_Expr_Oexp_OFAss(X3,X5,X7,X8,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
    | ~ c_WellType_OWT(X1,X2,X3,c_Type_Oty_OClass(X4))
    | ~ c_TypeRel_Osees__field(X1,X4,X5,X6,X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellType_OWT(X1,X2,X8,X9)
    | ~ c_TypeRel_Owiden(X1,X9,X6,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1017]) ).

cnf(c_0_1017_1,axiom,
    ( ~ c_WellType_OWT(X1,X2,X3,c_Type_Oty_OClass(X4))
    | c_WellType_OWT(X1,X2,c_Expr_Oexp_OFAss(X3,X5,X7,X8,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
    | ~ c_TypeRel_Osees__field(X1,X4,X5,X6,X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellType_OWT(X1,X2,X8,X9)
    | ~ c_TypeRel_Owiden(X1,X9,X6,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1017]) ).

cnf(c_0_1017_2,axiom,
    ( ~ c_TypeRel_Osees__field(X1,X4,X5,X6,X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellType_OWT(X1,X2,X3,c_Type_Oty_OClass(X4))
    | c_WellType_OWT(X1,X2,c_Expr_Oexp_OFAss(X3,X5,X7,X8,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
    | ~ c_WellType_OWT(X1,X2,X8,X9)
    | ~ c_TypeRel_Owiden(X1,X9,X6,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1017]) ).

cnf(c_0_1017_3,axiom,
    ( ~ c_WellType_OWT(X1,X2,X8,X9)
    | ~ c_TypeRel_Osees__field(X1,X4,X5,X6,X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellType_OWT(X1,X2,X3,c_Type_Oty_OClass(X4))
    | c_WellType_OWT(X1,X2,c_Expr_Oexp_OFAss(X3,X5,X7,X8,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
    | ~ c_TypeRel_Owiden(X1,X9,X6,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1017]) ).

cnf(c_0_1017_4,axiom,
    ( ~ c_TypeRel_Owiden(X1,X9,X6,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellType_OWT(X1,X2,X8,X9)
    | ~ c_TypeRel_Osees__field(X1,X4,X5,X6,X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellType_OWT(X1,X2,X3,c_Type_Oty_OClass(X4))
    | c_WellType_OWT(X1,X2,c_Expr_Oexp_OFAss(X3,X5,X7,X8,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid) ),
    inference(literals_permutation,[status(thm)],[c_0_1017]) ).

cnf(c_0_1018_0,axiom,
    ( c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OFAcc(X4,X6,X8,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X4,c_Type_Oty_OClass(X5))
    | ~ c_TypeRel_Ohas__field(X1,X5,X6,X7,X8,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1018]) ).

cnf(c_0_1018_1,axiom,
    ( ~ c_Progress_OWTrt_H(X1,X2,X3,X4,c_Type_Oty_OClass(X5))
    | c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OFAcc(X4,X6,X8,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ c_TypeRel_Ohas__field(X1,X5,X6,X7,X8,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1018]) ).

cnf(c_0_1018_2,axiom,
    ( ~ c_TypeRel_Ohas__field(X1,X5,X6,X7,X8,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X4,c_Type_Oty_OClass(X5))
    | c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OFAcc(X4,X6,X8,tc_List_Olist(tc_String_Ochar)),X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1018]) ).

cnf(c_0_1019_0,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAcc(X4,X6,X8,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OClass(X5))
    | ~ c_TypeRel_Ohas__field(X1,X5,X6,X7,X8,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1019]) ).

cnf(c_0_1019_1,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OClass(X5))
    | c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAcc(X4,X6,X8,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ c_TypeRel_Ohas__field(X1,X5,X6,X7,X8,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1019]) ).

cnf(c_0_1019_2,axiom,
    ( ~ c_TypeRel_Ohas__field(X1,X5,X6,X7,X8,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OClass(X5))
    | c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAcc(X4,X6,X8,tc_List_Olist(tc_String_Ochar)),X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1019]) ).

cnf(c_0_1020_0,axiom,
    ( c_WellType_OWT(X1,X2,c_Expr_Oexp_OFAcc(X3,X5,X7,tc_List_Olist(tc_String_Ochar)),X6)
    | ~ c_WellType_OWT(X1,X2,X3,c_Type_Oty_OClass(X4))
    | ~ c_TypeRel_Osees__field(X1,X4,X5,X6,X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1020]) ).

cnf(c_0_1020_1,axiom,
    ( ~ c_WellType_OWT(X1,X2,X3,c_Type_Oty_OClass(X4))
    | c_WellType_OWT(X1,X2,c_Expr_Oexp_OFAcc(X3,X5,X7,tc_List_Olist(tc_String_Ochar)),X6)
    | ~ c_TypeRel_Osees__field(X1,X4,X5,X6,X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1020]) ).

cnf(c_0_1020_2,axiom,
    ( ~ c_TypeRel_Osees__field(X1,X4,X5,X6,X7,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellType_OWT(X1,X2,X3,c_Type_Oty_OClass(X4))
    | c_WellType_OWT(X1,X2,c_Expr_Oexp_OFAcc(X3,X5,X7,tc_List_Olist(tc_String_Ochar)),X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1020]) ).

cnf(c_0_1021_0,axiom,
    ( c_lessequals(c_Map_Odom(X4,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Map_Odom(X7,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | ~ c_BigStep_Oevals(X1,X2,c_Pair(X3,X4,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),X5,c_Pair(X6,X7,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1021]) ).

cnf(c_0_1021_1,axiom,
    ( ~ c_BigStep_Oevals(X1,X2,c_Pair(X3,X4,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),X5,c_Pair(X6,X7,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
    | c_lessequals(c_Map_Odom(X4,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Map_Odom(X7,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1021]) ).

cnf(c_0_1022_0,axiom,
    ( c_lessequals(c_Map_Odom(X4,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Map_Odom(X7,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | ~ c_BigStep_Oeval(X1,X2,c_Pair(X3,X4,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),X5,c_Pair(X6,X7,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1022]) ).

cnf(c_0_1022_1,axiom,
    ( ~ c_BigStep_Oeval(X1,X2,c_Pair(X3,X4,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),X5,c_Pair(X6,X7,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
    | c_lessequals(c_Map_Odom(X4,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Map_Odom(X7,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1022]) ).

cnf(c_0_1023_0,axiom,
    ( c_Objects_Ohext(X3,X6)
    | ~ c_BigStep_Oevals(X1,X2,c_Pair(X3,X4,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),X5,c_Pair(X6,X7,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1023]) ).

cnf(c_0_1023_1,axiom,
    ( ~ c_BigStep_Oevals(X1,X2,c_Pair(X3,X4,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),X5,c_Pair(X6,X7,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
    | c_Objects_Ohext(X3,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1023]) ).

cnf(c_0_1024_0,axiom,
    ( c_Objects_Ohext(X3,X6)
    | ~ c_BigStep_Oeval(X1,X2,c_Pair(X3,X4,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),X5,c_Pair(X6,X7,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1024]) ).

cnf(c_0_1024_1,axiom,
    ( ~ c_BigStep_Oeval(X1,X2,c_Pair(X3,X4,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))),X5,c_Pair(X6,X7,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
    | c_Objects_Ohext(X3,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1024]) ).

cnf(c_0_1025_0,axiom,
    ( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,X1,v_e_Ha____,v_sko__local__XFAssRed1__Xhyps__2__1(X1,v_P,X2,v_e_Ha____,v_h_Ha____))
    | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
    | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X1,v_ea____,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1025]) ).

cnf(c_0_1025_1,axiom,
    ( ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
    | c_WellTypeRT_OWTrt(v_P,v_h_Ha____,X1,v_e_Ha____,v_sko__local__XFAssRed1__Xhyps__2__1(X1,v_P,X2,v_e_Ha____,v_h_Ha____))
    | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X1,v_ea____,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1025]) ).

cnf(c_0_1025_2,axiom,
    ( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X1,v_ea____,X2)
    | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
    | c_WellTypeRT_OWTrt(v_P,v_h_Ha____,X1,v_e_Ha____,v_sko__local__XFAssRed1__Xhyps__2__1(X1,v_P,X2,v_e_Ha____,v_h_Ha____)) ),
    inference(literals_permutation,[status(thm)],[c_0_1025]) ).

cnf(c_0_1026_0,axiom,
    ( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,X1,v_e_Ha____,v_sko__local__XFAssRed1__2__1(X1,v_P,X2,v_e_Ha____,v_h_Ha____))
    | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
    | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X1,v_ea____,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1026]) ).

cnf(c_0_1026_1,axiom,
    ( ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
    | c_WellTypeRT_OWTrt(v_P,v_h_Ha____,X1,v_e_Ha____,v_sko__local__XFAssRed1__2__1(X1,v_P,X2,v_e_Ha____,v_h_Ha____))
    | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X1,v_ea____,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1026]) ).

cnf(c_0_1026_2,axiom,
    ( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X1,v_ea____,X2)
    | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
    | c_WellTypeRT_OWTrt(v_P,v_h_Ha____,X1,v_e_Ha____,v_sko__local__XFAssRed1__2__1(X1,v_P,X2,v_e_Ha____,v_h_Ha____)) ),
    inference(literals_permutation,[status(thm)],[c_0_1026]) ).

cnf(c_0_1027_0,axiom,
    ( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,X1,v_e_Ha____,v_sko__local__XIH__1(X1,v_P,X2,v_e_Ha____,v_h_Ha____))
    | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
    | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X1,v_ea____,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1027]) ).

cnf(c_0_1027_1,axiom,
    ( ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
    | c_WellTypeRT_OWTrt(v_P,v_h_Ha____,X1,v_e_Ha____,v_sko__local__XIH__1(X1,v_P,X2,v_e_Ha____,v_h_Ha____))
    | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X1,v_ea____,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1027]) ).

cnf(c_0_1027_2,axiom,
    ( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X1,v_ea____,X2)
    | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
    | c_WellTypeRT_OWTrt(v_P,v_h_Ha____,X1,v_e_Ha____,v_sko__local__XIH__1(X1,v_P,X2,v_e_Ha____,v_h_Ha____)) ),
    inference(literals_permutation,[status(thm)],[c_0_1027]) ).

cnf(c_0_1028_0,axiom,
    ( c_TypeRel_Owiden(v_P,v_sko__local__XIH__1(X1,v_P,X2,v_e_Ha____,v_h_Ha____),X2,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
    | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X1,v_ea____,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1028]) ).

cnf(c_0_1028_1,axiom,
    ( ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
    | c_TypeRel_Owiden(v_P,v_sko__local__XIH__1(X1,v_P,X2,v_e_Ha____,v_h_Ha____),X2,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X1,v_ea____,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1028]) ).

cnf(c_0_1028_2,axiom,
    ( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X1,v_ea____,X2)
    | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
    | c_TypeRel_Owiden(v_P,v_sko__local__XIH__1(X1,v_P,X2,v_e_Ha____,v_h_Ha____),X2,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1028]) ).

cnf(c_0_1029_0,axiom,
    ( c_TypeRel_Owiden(v_P,v_sko__local__XFAssRed1__Xhyps__2__1(X1,v_P,X2,v_e_Ha____,v_h_Ha____),X2,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
    | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X1,v_ea____,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1029]) ).

cnf(c_0_1029_1,axiom,
    ( ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
    | c_TypeRel_Owiden(v_P,v_sko__local__XFAssRed1__Xhyps__2__1(X1,v_P,X2,v_e_Ha____,v_h_Ha____),X2,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X1,v_ea____,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1029]) ).

cnf(c_0_1029_2,axiom,
    ( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X1,v_ea____,X2)
    | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
    | c_TypeRel_Owiden(v_P,v_sko__local__XFAssRed1__Xhyps__2__1(X1,v_P,X2,v_e_Ha____,v_h_Ha____),X2,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1029]) ).

cnf(c_0_1030_0,axiom,
    ( c_TypeRel_Owiden(v_P,v_sko__local__XFAssRed1__2__1(X1,v_P,X2,v_e_Ha____,v_h_Ha____),X2,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
    | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X1,v_ea____,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1030]) ).

cnf(c_0_1030_1,axiom,
    ( ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
    | c_TypeRel_Owiden(v_P,v_sko__local__XFAssRed1__2__1(X1,v_P,X2,v_e_Ha____,v_h_Ha____),X2,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X1,v_ea____,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1030]) ).

cnf(c_0_1030_2,axiom,
    ( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,X1,v_ea____,X2)
    | ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
    | c_TypeRel_Owiden(v_P,v_sko__local__XFAssRed1__2__1(X1,v_P,X2,v_e_Ha____,v_h_Ha____),X2,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    inference(literals_permutation,[status(thm)],[c_0_1030]) ).

cnf(c_0_1031_0,axiom,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OFAss(X2,X9,X10,X6,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8)
    | ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_OVal(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_BigStep_Oeval(X1,X6,X5,c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(literals_permutation,[status(thm)],[c_0_1031]) ).

cnf(c_0_1031_1,axiom,
    ( ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_OVal(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | c_BigStep_Oeval(X1,c_Expr_Oexp_OFAss(X2,X9,X10,X6,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8)
    | ~ c_BigStep_Oeval(X1,X6,X5,c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(literals_permutation,[status(thm)],[c_0_1031]) ).

cnf(c_0_1031_2,axiom,
    ( ~ c_BigStep_Oeval(X1,X6,X5,c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8)
    | ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_OVal(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | c_BigStep_Oeval(X1,c_Expr_Oexp_OFAss(X2,X9,X10,X6,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(literals_permutation,[status(thm)],[c_0_1031]) ).

cnf(c_0_1032_0,axiom,
    ( c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X7,X8,X5,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X4,c_Type_Oty_ONT)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1032]) ).

cnf(c_0_1032_1,axiom,
    ( ~ c_Progress_OWTrt_H(X1,X2,X3,X4,c_Type_Oty_ONT)
    | c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X7,X8,X5,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1032]) ).

cnf(c_0_1032_2,axiom,
    ( ~ c_Progress_OWTrt_H(X1,X2,X3,X5,X6)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X4,c_Type_Oty_ONT)
    | c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X7,X8,X5,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid) ),
    inference(literals_permutation,[status(thm)],[c_0_1032]) ).

cnf(c_0_1033_0,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X7,X8,X5,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1033]) ).

cnf(c_0_1033_1,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT)
    | c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X7,X8,X5,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1033]) ).

cnf(c_0_1033_2,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X2,X3,X5,X6)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT)
    | c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X7,X8,X5,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid) ),
    inference(literals_permutation,[status(thm)],[c_0_1033]) ).

cnf(c_0_1034_0,axiom,
    ( X8 = c_Type_Oty_OVoid
    | c_WellTypeRT_OWTrt(X1,X2,X3,X7,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(X3,X1,X2,X7))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(literals_permutation,[status(thm)],[c_0_1034]) ).

cnf(c_0_1034_1,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X7,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(X3,X1,X2,X7))
    | X8 = c_Type_Oty_OVoid
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(literals_permutation,[status(thm)],[c_0_1034]) ).

cnf(c_0_1034_2,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8)
    | c_WellTypeRT_OWTrt(X1,X2,X3,X7,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(X3,X1,X2,X7))
    | X8 = c_Type_Oty_OVoid ),
    inference(literals_permutation,[status(thm)],[c_0_1034]) ).

cnf(c_0_1035_0,axiom,
    ( X8 = c_Type_Oty_OVoid
    | c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(literals_permutation,[status(thm)],[c_0_1035]) ).

cnf(c_0_1035_1,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT)
    | X8 = c_Type_Oty_OVoid
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(literals_permutation,[status(thm)],[c_0_1035]) ).

cnf(c_0_1035_2,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8)
    | c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT)
    | X8 = c_Type_Oty_OVoid ),
    inference(literals_permutation,[status(thm)],[c_0_1035]) ).

cnf(c_0_1036_0,axiom,
    ( c_in(c_Pair(X1,X5,X3,X3),X7,tc_prod(X3,X3))
    | c_in(c_Pair(X2,X6,X4,X4),X8,tc_prod(X4,X4))
    | ~ c_in(c_Pair(c_Pair(X1,X2,X3,X4),c_Pair(X5,X6,X3,X4),tc_prod(X3,X4),tc_prod(X3,X4)),c_Wellfounded_Olex__prod(X7,X8,X3,X4),tc_prod(tc_prod(X3,X4),tc_prod(X3,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_1036]) ).

cnf(c_0_1036_1,axiom,
    ( c_in(c_Pair(X2,X6,X4,X4),X8,tc_prod(X4,X4))
    | c_in(c_Pair(X1,X5,X3,X3),X7,tc_prod(X3,X3))
    | ~ c_in(c_Pair(c_Pair(X1,X2,X3,X4),c_Pair(X5,X6,X3,X4),tc_prod(X3,X4),tc_prod(X3,X4)),c_Wellfounded_Olex__prod(X7,X8,X3,X4),tc_prod(tc_prod(X3,X4),tc_prod(X3,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_1036]) ).

cnf(c_0_1036_2,axiom,
    ( ~ c_in(c_Pair(c_Pair(X1,X2,X3,X4),c_Pair(X5,X6,X3,X4),tc_prod(X3,X4),tc_prod(X3,X4)),c_Wellfounded_Olex__prod(X7,X8,X3,X4),tc_prod(tc_prod(X3,X4),tc_prod(X3,X4)))
    | c_in(c_Pair(X2,X6,X4,X4),X8,tc_prod(X4,X4))
    | c_in(c_Pair(X1,X5,X3,X3),X7,tc_prod(X3,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1036]) ).

cnf(c_0_1037_0,axiom,
    ( X8 = c_Type_Oty_OVoid
    | X8 = c_Type_Oty_OVoid
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(literals_permutation,[status(thm)],[c_0_1037]) ).

cnf(c_0_1037_1,axiom,
    ( X8 = c_Type_Oty_OVoid
    | X8 = c_Type_Oty_OVoid
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(literals_permutation,[status(thm)],[c_0_1037]) ).

cnf(c_0_1037_2,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X5,X6,X7,tc_List_Olist(tc_String_Ochar)),X8)
    | X8 = c_Type_Oty_OVoid
    | X8 = c_Type_Oty_OVoid ),
    inference(literals_permutation,[status(thm)],[c_0_1037]) ).

cnf(c_0_1038_0,axiom,
    ( c_in(c_Pair(X1,X5,X3,X3),X7,tc_prod(X3,X3))
    | X1 = X5
    | ~ c_in(c_Pair(c_Pair(X1,X2,X3,X4),c_Pair(X5,X6,X3,X4),tc_prod(X3,X4),tc_prod(X3,X4)),c_Wellfounded_Olex__prod(X7,X8,X3,X4),tc_prod(tc_prod(X3,X4),tc_prod(X3,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_1038]) ).

cnf(c_0_1038_1,axiom,
    ( X1 = X5
    | c_in(c_Pair(X1,X5,X3,X3),X7,tc_prod(X3,X3))
    | ~ c_in(c_Pair(c_Pair(X1,X2,X3,X4),c_Pair(X5,X6,X3,X4),tc_prod(X3,X4),tc_prod(X3,X4)),c_Wellfounded_Olex__prod(X7,X8,X3,X4),tc_prod(tc_prod(X3,X4),tc_prod(X3,X4))) ),
    inference(literals_permutation,[status(thm)],[c_0_1038]) ).

cnf(c_0_1038_2,axiom,
    ( ~ c_in(c_Pair(c_Pair(X1,X2,X3,X4),c_Pair(X5,X6,X3,X4),tc_prod(X3,X4),tc_prod(X3,X4)),c_Wellfounded_Olex__prod(X7,X8,X3,X4),tc_prod(tc_prod(X3,X4),tc_prod(X3,X4)))
    | X1 = X5
    | c_in(c_Pair(X1,X5,X3,X3),X7,tc_prod(X3,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1038]) ).

cnf(c_0_1039_0,axiom,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OBinOp(X2,X9,X6,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8)
    | ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_OVal(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_BigStep_Oeval(X1,X6,X5,c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(literals_permutation,[status(thm)],[c_0_1039]) ).

cnf(c_0_1039_1,axiom,
    ( ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_OVal(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | c_BigStep_Oeval(X1,c_Expr_Oexp_OBinOp(X2,X9,X6,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8)
    | ~ c_BigStep_Oeval(X1,X6,X5,c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(literals_permutation,[status(thm)],[c_0_1039]) ).

cnf(c_0_1039_2,axiom,
    ( ~ c_BigStep_Oeval(X1,X6,X5,c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8)
    | ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_OVal(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | c_BigStep_Oeval(X1,c_Expr_Oexp_OBinOp(X2,X9,X6,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_Othrow(X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    inference(literals_permutation,[status(thm)],[c_0_1039]) ).

cnf(c_0_1040_0,axiom,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OTryCatch(X2,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_OVal(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_OVal(X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1040]) ).

cnf(c_0_1040_1,axiom,
    ( ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_OVal(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | c_BigStep_Oeval(X1,c_Expr_Oexp_OTryCatch(X2,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_OVal(X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1040]) ).

cnf(c_0_1041_0,axiom,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OFAss(X2,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1041]) ).

cnf(c_0_1041_1,axiom,
    ( ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | c_BigStep_Oeval(X1,c_Expr_Oexp_OFAss(X2,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1041]) ).

cnf(c_0_1042_0,axiom,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OSeq(X2,X6,tc_List_Olist(tc_String_Ochar)),X3,X7,X8)
    | ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_OVal(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_BigStep_Oeval(X1,X6,X5,X7,X8) ),
    inference(literals_permutation,[status(thm)],[c_0_1042]) ).

cnf(c_0_1042_1,axiom,
    ( ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_OVal(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | c_BigStep_Oeval(X1,c_Expr_Oexp_OSeq(X2,X6,tc_List_Olist(tc_String_Ochar)),X3,X7,X8)
    | ~ c_BigStep_Oeval(X1,X6,X5,X7,X8) ),
    inference(literals_permutation,[status(thm)],[c_0_1042]) ).

cnf(c_0_1042_2,axiom,
    ( ~ c_BigStep_Oeval(X1,X6,X5,X7,X8)
    | ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_OVal(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | c_BigStep_Oeval(X1,c_Expr_Oexp_OSeq(X2,X6,tc_List_Olist(tc_String_Ochar)),X3,X7,X8) ),
    inference(literals_permutation,[status(thm)],[c_0_1042]) ).

cnf(c_0_1043_0,axiom,
    ( c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OSeq(X4,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X4,X5)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X6,X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1043]) ).

cnf(c_0_1043_1,axiom,
    ( ~ c_Progress_OWTrt_H(X1,X2,X3,X4,X5)
    | c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OSeq(X4,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X6,X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1043]) ).

cnf(c_0_1043_2,axiom,
    ( ~ c_Progress_OWTrt_H(X1,X2,X3,X6,X7)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X4,X5)
    | c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OSeq(X4,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1043]) ).

cnf(c_0_1044_0,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OSeq(X4,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X6,X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1044]) ).

cnf(c_0_1044_1,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
    | c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OSeq(X4,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X6,X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1044]) ).

cnf(c_0_1044_2,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X2,X3,X6,X7)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
    | c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OSeq(X4,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1044]) ).

cnf(c_0_1045_0,axiom,
    ( c_WellType_OWT(X1,X2,X3,X7)
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OTryCatch(X3,X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1045]) ).

cnf(c_0_1045_1,axiom,
    ( ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OTryCatch(X3,X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | c_WellType_OWT(X1,X2,X3,X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1045]) ).

cnf(c_0_1046_0,axiom,
    ( c_in(c_Pair(c_Pair(X2,X3,X7,X5),c_Pair(X2,X4,X7,X5),tc_prod(X7,X5),tc_prod(X7,X5)),c_Recdef_Osame__fst(X1,X6,X7,X5),tc_prod(tc_prod(X7,X5),tc_prod(X7,X5)))
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_in(c_Pair(X3,X4,X5,X5),hAPP(X6,X2),tc_prod(X5,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1046]) ).

cnf(c_0_1046_1,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | c_in(c_Pair(c_Pair(X2,X3,X7,X5),c_Pair(X2,X4,X7,X5),tc_prod(X7,X5),tc_prod(X7,X5)),c_Recdef_Osame__fst(X1,X6,X7,X5),tc_prod(tc_prod(X7,X5),tc_prod(X7,X5)))
    | ~ c_in(c_Pair(X3,X4,X5,X5),hAPP(X6,X2),tc_prod(X5,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1046]) ).

cnf(c_0_1046_2,axiom,
    ( ~ c_in(c_Pair(X3,X4,X5,X5),hAPP(X6,X2),tc_prod(X5,X5))
    | ~ hBOOL(hAPP(X1,X2))
    | c_in(c_Pair(c_Pair(X2,X3,X7,X5),c_Pair(X2,X4,X7,X5),tc_prod(X7,X5),tc_prod(X7,X5)),c_Recdef_Osame__fst(X1,X6,X7,X5),tc_prod(tc_prod(X7,X5),tc_prod(X7,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_1046]) ).

cnf(c_0_1047_0,axiom,
    ( X7 = c_Type_Oty_OVoid
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OFAss(X3,X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1047]) ).

cnf(c_0_1047_1,axiom,
    ( ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OFAss(X3,X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | X7 = c_Type_Oty_OVoid ),
    inference(literals_permutation,[status(thm)],[c_0_1047]) ).

cnf(c_0_1048_0,axiom,
    ( c_in(c_Pair(c_Pair(X5,X1,X6,X3),c_Pair(X5,X2,X6,X3),tc_prod(X6,X3),tc_prod(X6,X3)),c_Wellfounded_Olex__prod(X7,X4,X6,X3),tc_prod(tc_prod(X6,X3),tc_prod(X6,X3)))
    | ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1048]) ).

cnf(c_0_1048_1,axiom,
    ( ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
    | c_in(c_Pair(c_Pair(X5,X1,X6,X3),c_Pair(X5,X2,X6,X3),tc_prod(X6,X3),tc_prod(X6,X3)),c_Wellfounded_Olex__prod(X7,X4,X6,X3),tc_prod(tc_prod(X6,X3),tc_prod(X6,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_1048]) ).

cnf(c_0_1049_0,axiom,
    ( c_in(c_Pair(c_Pair(X1,X5,X3,X6),c_Pair(X2,X7,X3,X6),tc_prod(X3,X6),tc_prod(X3,X6)),c_Wellfounded_Olex__prod(X4,X8,X3,X6),tc_prod(tc_prod(X3,X6),tc_prod(X3,X6)))
    | ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1049]) ).

cnf(c_0_1049_1,axiom,
    ( ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
    | c_in(c_Pair(c_Pair(X1,X5,X3,X6),c_Pair(X2,X7,X3,X6),tc_prod(X3,X6),tc_prod(X3,X6)),c_Wellfounded_Olex__prod(X4,X8,X3,X6),tc_prod(tc_prod(X3,X6),tc_prod(X3,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_1049]) ).

cnf(c_0_1050_0,axiom,
    ( X1 = X2
    | c_Expr_Oexp_OTryCatch(X3,X4,X5,X1,X6) != c_Expr_Oexp_OTryCatch(X7,X8,X9,X2,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1050]) ).

cnf(c_0_1050_1,axiom,
    ( c_Expr_Oexp_OTryCatch(X3,X4,X5,X1,X6) != c_Expr_Oexp_OTryCatch(X7,X8,X9,X2,X6)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1050]) ).

cnf(c_0_1051_0,axiom,
    ( X1 = X2
    | c_Expr_Oexp_OTryCatch(X3,X4,X1,X5,X6) != c_Expr_Oexp_OTryCatch(X7,X8,X2,X9,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1051]) ).

cnf(c_0_1051_1,axiom,
    ( c_Expr_Oexp_OTryCatch(X3,X4,X1,X5,X6) != c_Expr_Oexp_OTryCatch(X7,X8,X2,X9,X6)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1051]) ).

cnf(c_0_1052_0,axiom,
    ( X1 = X2
    | c_Expr_Oexp_OTryCatch(X3,X1,X4,X5,X6) != c_Expr_Oexp_OTryCatch(X7,X2,X8,X9,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1052]) ).

cnf(c_0_1052_1,axiom,
    ( c_Expr_Oexp_OTryCatch(X3,X1,X4,X5,X6) != c_Expr_Oexp_OTryCatch(X7,X2,X8,X9,X6)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1052]) ).

cnf(c_0_1053_0,axiom,
    ( X1 = X2
    | c_Expr_Oexp_OTryCatch(X1,X3,X4,X5,X6) != c_Expr_Oexp_OTryCatch(X2,X7,X8,X9,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1053]) ).

cnf(c_0_1053_1,axiom,
    ( c_Expr_Oexp_OTryCatch(X1,X3,X4,X5,X6) != c_Expr_Oexp_OTryCatch(X2,X7,X8,X9,X6)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1053]) ).

cnf(c_0_1054_0,axiom,
    ( X1 = X2
    | c_Expr_Oexp_OFAss(X3,X4,X5,X1,X6) != c_Expr_Oexp_OFAss(X7,X8,X9,X2,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1054]) ).

cnf(c_0_1054_1,axiom,
    ( c_Expr_Oexp_OFAss(X3,X4,X5,X1,X6) != c_Expr_Oexp_OFAss(X7,X8,X9,X2,X6)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1054]) ).

cnf(c_0_1055_0,axiom,
    ( X1 = X2
    | c_Expr_Oexp_OFAss(X3,X4,X1,X5,X6) != c_Expr_Oexp_OFAss(X7,X8,X2,X9,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1055]) ).

cnf(c_0_1055_1,axiom,
    ( c_Expr_Oexp_OFAss(X3,X4,X1,X5,X6) != c_Expr_Oexp_OFAss(X7,X8,X2,X9,X6)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1055]) ).

cnf(c_0_1056_0,axiom,
    ( X1 = X2
    | c_Expr_Oexp_OFAss(X3,X1,X4,X5,X6) != c_Expr_Oexp_OFAss(X7,X2,X8,X9,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1056]) ).

cnf(c_0_1056_1,axiom,
    ( c_Expr_Oexp_OFAss(X3,X1,X4,X5,X6) != c_Expr_Oexp_OFAss(X7,X2,X8,X9,X6)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1056]) ).

cnf(c_0_1057_0,axiom,
    ( X1 = X2
    | c_Expr_Oexp_OFAss(X1,X3,X4,X5,X6) != c_Expr_Oexp_OFAss(X2,X7,X8,X9,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1057]) ).

cnf(c_0_1057_1,axiom,
    ( c_Expr_Oexp_OFAss(X1,X3,X4,X5,X6) != c_Expr_Oexp_OFAss(X2,X7,X8,X9,X6)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1057]) ).

cnf(c_0_1058_0,axiom,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OCall(X2,X6,X7,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1058]) ).

cnf(c_0_1058_1,axiom,
    ( ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | c_BigStep_Oeval(X1,c_Expr_Oexp_OCall(X2,X6,X7,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1058]) ).

cnf(c_0_1059_0,axiom,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OCond(X2,X6,X7,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1059]) ).

cnf(c_0_1059_1,axiom,
    ( ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | c_BigStep_Oeval(X1,c_Expr_Oexp_OCond(X2,X6,X7,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1059]) ).

cnf(c_0_1060_0,axiom,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OBinOp(X2,X6,X7,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1060]) ).

cnf(c_0_1060_1,axiom,
    ( ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | c_BigStep_Oeval(X1,c_Expr_Oexp_OBinOp(X2,X6,X7,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1060]) ).

cnf(c_0_1061_0,axiom,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OFAcc(X2,X6,X7,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1061]) ).

cnf(c_0_1061_1,axiom,
    ( ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | c_BigStep_Oeval(X1,c_Expr_Oexp_OFAcc(X2,X6,X7,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1061]) ).

cnf(c_0_1062_0,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAcc(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT) ),
    inference(literals_permutation,[status(thm)],[c_0_1062]) ).

cnf(c_0_1062_1,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT)
    | c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAcc(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1062]) ).

cnf(c_0_1063_0,axiom,
    ( c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OFAcc(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X4,c_Type_Oty_ONT) ),
    inference(literals_permutation,[status(thm)],[c_0_1063]) ).

cnf(c_0_1063_1,axiom,
    ( ~ c_Progress_OWTrt_H(X1,X2,X3,X4,c_Type_Oty_ONT)
    | c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OFAcc(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
    inference(literals_permutation,[status(thm)],[c_0_1063]) ).

cnf(c_0_1064_0,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,X6,X4,X5)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
    | ~ c_Map_Omap__le(X3,X6,tc_List_Olist(tc_String_Ochar),tc_Type_Oty) ),
    inference(literals_permutation,[status(thm)],[c_0_1064]) ).

cnf(c_0_1064_1,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
    | c_WellTypeRT_OWTrt(X1,X2,X6,X4,X5)
    | ~ c_Map_Omap__le(X3,X6,tc_List_Olist(tc_String_Ochar),tc_Type_Oty) ),
    inference(literals_permutation,[status(thm)],[c_0_1064]) ).

cnf(c_0_1064_2,axiom,
    ( ~ c_Map_Omap__le(X3,X6,tc_List_Olist(tc_String_Ochar),tc_Type_Oty)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
    | c_WellTypeRT_OWTrt(X1,X2,X6,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1064]) ).

cnf(c_0_1065_0,axiom,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OSeq(X2,X6,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1065]) ).

cnf(c_0_1065_1,axiom,
    ( ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | c_BigStep_Oeval(X1,c_Expr_Oexp_OSeq(X2,X6,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1065]) ).

cnf(c_0_1066_0,axiom,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OLAss(X6,X2,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1066]) ).

cnf(c_0_1066_1,axiom,
    ( ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | c_BigStep_Oeval(X1,c_Expr_Oexp_OLAss(X6,X2,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1066]) ).

cnf(c_0_1067_0,axiom,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_OCast(X6,X2,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1067]) ).

cnf(c_0_1067_1,axiom,
    ( ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | c_BigStep_Oeval(X1,c_Expr_Oexp_OCast(X6,X2,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1067]) ).

cnf(c_0_1068_0,axiom,
    ( c_BigStep_Oeval(X1,c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1068]) ).

cnf(c_0_1068_1,axiom,
    ( ~ c_BigStep_Oeval(X1,X2,X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5)
    | c_BigStep_Oeval(X1,c_Expr_Oexp_Othrow(X2,tc_List_Olist(tc_String_Ochar)),X3,c_Expr_Oexp_Othrow(X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1068]) ).

cnf(c_0_1069_0,axiom,
    ( c_Conform_Olconf(X1,X6,X3,X4,X5)
    | ~ c_Conform_Olconf(X1,X2,X3,X4,X5)
    | ~ c_Objects_Ohext(X2,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1069]) ).

cnf(c_0_1069_1,axiom,
    ( ~ c_Conform_Olconf(X1,X2,X3,X4,X5)
    | c_Conform_Olconf(X1,X6,X3,X4,X5)
    | ~ c_Objects_Ohext(X2,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1069]) ).

cnf(c_0_1069_2,axiom,
    ( ~ c_Objects_Ohext(X2,X6)
    | ~ c_Conform_Olconf(X1,X2,X3,X4,X5)
    | c_Conform_Olconf(X1,X6,X3,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1069]) ).

cnf(c_0_1070_0,axiom,
    ( c_WellTypeRT_OWTrt(X1,X6,X3,X4,X5)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
    | ~ c_Objects_Ohext(X2,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1070]) ).

cnf(c_0_1070_1,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
    | c_WellTypeRT_OWTrt(X1,X6,X3,X4,X5)
    | ~ c_Objects_Ohext(X2,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1070]) ).

cnf(c_0_1070_2,axiom,
    ( ~ c_Objects_Ohext(X2,X6)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
    | c_WellTypeRT_OWTrt(X1,X6,X3,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1070]) ).

cnf(c_0_1071_0,axiom,
    ( c_Progress_OWTrt_H(X1,X2,X3,X4,X5)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1071]) ).

cnf(c_0_1071_1,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
    | c_Progress_OWTrt_H(X1,X2,X3,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1071]) ).

cnf(c_0_1072_0,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
    | ~ c_Progress_OWTrt_H(X1,X2,X3,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1072]) ).

cnf(c_0_1072_1,axiom,
    ( ~ c_Progress_OWTrt_H(X1,X2,X3,X4,X5)
    | c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1072]) ).

cnf(c_0_1073_0,axiom,
    ( c_Map_Omap__le(c_Map_Omap__add(X1,X5,X3,X4),X2,X3,X4)
    | ~ c_Map_Omap__le(X1,X2,X3,X4)
    | ~ c_Map_Omap__le(X5,X2,X3,X4)
    | ~ c_Map_Omap__le(X1,c_Map_Omap__add(X1,X5,X3,X4),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1073]) ).

cnf(c_0_1073_1,axiom,
    ( ~ c_Map_Omap__le(X1,X2,X3,X4)
    | c_Map_Omap__le(c_Map_Omap__add(X1,X5,X3,X4),X2,X3,X4)
    | ~ c_Map_Omap__le(X5,X2,X3,X4)
    | ~ c_Map_Omap__le(X1,c_Map_Omap__add(X1,X5,X3,X4),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1073]) ).

cnf(c_0_1073_2,axiom,
    ( ~ c_Map_Omap__le(X5,X2,X3,X4)
    | ~ c_Map_Omap__le(X1,X2,X3,X4)
    | c_Map_Omap__le(c_Map_Omap__add(X1,X5,X3,X4),X2,X3,X4)
    | ~ c_Map_Omap__le(X1,c_Map_Omap__add(X1,X5,X3,X4),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1073]) ).

cnf(c_0_1073_3,axiom,
    ( ~ c_Map_Omap__le(X1,c_Map_Omap__add(X1,X5,X3,X4),X3,X4)
    | ~ c_Map_Omap__le(X5,X2,X3,X4)
    | ~ c_Map_Omap__le(X1,X2,X3,X4)
    | c_Map_Omap__le(c_Map_Omap__add(X1,X5,X3,X4),X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1073]) ).

cnf(c_0_1074_0,axiom,
    ( c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X2,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1074]) ).

cnf(c_0_1074_1,axiom,
    ( ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X2,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1074]) ).

cnf(c_0_1074_2,axiom,
    ( ~ c_in(c_Pair(X2,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1074]) ).

cnf(c_0_1075_0,axiom,
    ( c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(X2,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1075]) ).

cnf(c_0_1075_1,axiom,
    ( ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
    | c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X2,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1075]) ).

cnf(c_0_1075_2,axiom,
    ( ~ c_in(c_Pair(X2,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
    | c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1075]) ).

cnf(c_0_1076_0,axiom,
    ( c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X2,X5,X3,X3),X4,tc_prod(X3,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1076]) ).

cnf(c_0_1076_1,axiom,
    ( ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X2,X5,X3,X3),X4,tc_prod(X3,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1076]) ).

cnf(c_0_1076_2,axiom,
    ( ~ c_in(c_Pair(X2,X5,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1076]) ).

cnf(c_0_1077_0,axiom,
    ( X6 = c_Type_Oty_OClass(X4)
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCast(X4,X5,tc_List_Olist(tc_String_Ochar)),X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1077]) ).

cnf(c_0_1077_1,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCast(X4,X5,tc_List_Olist(tc_String_Ochar)),X6)
    | X6 = c_Type_Oty_OClass(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1077]) ).

cnf(c_0_1078_0,axiom,
    ( X6 = c_Type_Oty_OVoid
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OLAss(X4,X5,tc_List_Olist(tc_String_Ochar)),X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1078]) ).

cnf(c_0_1078_1,axiom,
    ( ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OLAss(X4,X5,tc_List_Olist(tc_String_Ochar)),X6)
    | X6 = c_Type_Oty_OVoid ),
    inference(literals_permutation,[status(thm)],[c_0_1078]) ).

cnf(c_0_1079_0,axiom,
    ( X6 = c_Type_Oty_OVoid
    | ~ c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OLAss(X4,X5,tc_List_Olist(tc_String_Ochar)),X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1079]) ).

cnf(c_0_1079_1,axiom,
    ( ~ c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OLAss(X4,X5,tc_List_Olist(tc_String_Ochar)),X6)
    | X6 = c_Type_Oty_OVoid ),
    inference(literals_permutation,[status(thm)],[c_0_1079]) ).

cnf(c_0_1080_0,axiom,
    ( X4 = c_Expr_Oexp_OVal(X2,tc_List_Olist(tc_String_Ochar))
    | ~ c_BigStep_Oeval(X1,c_Expr_Oexp_OVal(X2,tc_List_Olist(tc_String_Ochar)),X3,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1080]) ).

cnf(c_0_1080_1,axiom,
    ( ~ c_BigStep_Oeval(X1,c_Expr_Oexp_OVal(X2,tc_List_Olist(tc_String_Ochar)),X3,X4,X5)
    | X4 = c_Expr_Oexp_OVal(X2,tc_List_Olist(tc_String_Ochar)) ),
    inference(literals_permutation,[status(thm)],[c_0_1080]) ).

cnf(c_0_1081_0,axiom,
    ( X5 = X3
    | ~ c_BigStep_Oeval(X1,c_Expr_Oexp_OVal(X2,tc_List_Olist(tc_String_Ochar)),X3,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1081]) ).

cnf(c_0_1081_1,axiom,
    ( ~ c_BigStep_Oeval(X1,c_Expr_Oexp_OVal(X2,tc_List_Olist(tc_String_Ochar)),X3,X4,X5)
    | X5 = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_1081]) ).

cnf(c_0_1082_0,axiom,
    ( v_thesis____
    | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1082]) ).

cnf(c_0_1082_1,axiom,
    ( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X1)
    | v_thesis____ ),
    inference(literals_permutation,[status(thm)],[c_0_1082]) ).

cnf(c_0_1083_0,axiom,
    ( c_in(X2,hAPP(X6,X1),X4)
    | ~ c_in(c_Pair(X1,X2,X3,X4),c_Product__Type_OSigma(X5,X6,X3,X4),tc_prod(X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1083]) ).

cnf(c_0_1083_1,axiom,
    ( ~ c_in(c_Pair(X1,X2,X3,X4),c_Product__Type_OSigma(X5,X6,X3,X4),tc_prod(X3,X4))
    | c_in(X2,hAPP(X6,X1),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1083]) ).

cnf(c_0_1084_0,axiom,
    ( c_in(X1,X5,X3)
    | ~ c_in(c_Pair(X1,X2,X3,X4),c_Product__Type_OSigma(X5,X6,X3,X4),tc_prod(X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1084]) ).

cnf(c_0_1084_1,axiom,
    ( ~ c_in(c_Pair(X1,X2,X3,X4),c_Product__Type_OSigma(X5,X6,X3,X4),tc_prod(X3,X4))
    | c_in(X1,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1084]) ).

cnf(c_0_1085_0,axiom,
    ( c_Map_Omap__add(X1,X2,X3,X4) = c_Map_Omap__add(X2,X1,X3,X4)
    | ~ c_Map_Omap__le(X1,c_Map_Omap__add(X1,X2,X3,X4),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1085]) ).

cnf(c_0_1085_1,axiom,
    ( ~ c_Map_Omap__le(X1,c_Map_Omap__add(X1,X2,X3,X4),X3,X4)
    | c_Map_Omap__add(X1,X2,X3,X4) = c_Map_Omap__add(X2,X1,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1085]) ).

cnf(c_0_1086_0,axiom,
    ( c_WellTypeRT_OWTrt(X1,X5,X2,X3,X4)
    | ~ c_WellType_OWT(X1,X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1086]) ).

cnf(c_0_1086_1,axiom,
    ( ~ c_WellType_OWT(X1,X2,X3,X4)
    | c_WellTypeRT_OWTrt(X1,X5,X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1086]) ).

cnf(c_0_1087_0,axiom,
    ( c_in(X4,c_Relation_OImage(X6,X2,X3,X5),X5)
    | ~ c_in(X1,X2,X3)
    | ~ c_in(c_Pair(X1,X4,X3,X5),X6,tc_prod(X3,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1087]) ).

cnf(c_0_1087_1,axiom,
    ( ~ c_in(X1,X2,X3)
    | c_in(X4,c_Relation_OImage(X6,X2,X3,X5),X5)
    | ~ c_in(c_Pair(X1,X4,X3,X5),X6,tc_prod(X3,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1087]) ).

cnf(c_0_1087_2,axiom,
    ( ~ c_in(c_Pair(X1,X4,X3,X5),X6,tc_prod(X3,X5))
    | ~ c_in(X1,X2,X3)
    | c_in(X4,c_Relation_OImage(X6,X2,X3,X5),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1087]) ).

cnf(c_0_1088_0,axiom,
    ( c_in(X4,c_Relation_OImage(X6,X2,X3,X5),X5)
    | ~ c_in(X1,X2,X3)
    | ~ c_in(c_Pair(X1,X4,X3,X5),X6,tc_prod(X3,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1088]) ).

cnf(c_0_1088_1,axiom,
    ( ~ c_in(X1,X2,X3)
    | c_in(X4,c_Relation_OImage(X6,X2,X3,X5),X5)
    | ~ c_in(c_Pair(X1,X4,X3,X5),X6,tc_prod(X3,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1088]) ).

cnf(c_0_1088_2,axiom,
    ( ~ c_in(c_Pair(X1,X4,X3,X5),X6,tc_prod(X3,X5))
    | ~ c_in(X1,X2,X3)
    | c_in(X4,c_Relation_OImage(X6,X2,X3,X5),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1088]) ).

cnf(c_0_1089_0,axiom,
    ( c_Map_Omap__le(X1,c_Map_Omap__add(X1,X2,X3,X4),X3,X4)
    | c_Map_Omap__add(X1,X2,X3,X4) != c_Map_Omap__add(X2,X1,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1089]) ).

cnf(c_0_1089_1,axiom,
    ( c_Map_Omap__add(X1,X2,X3,X4) != c_Map_Omap__add(X2,X1,X3,X4)
    | c_Map_Omap__le(X1,c_Map_Omap__add(X1,X2,X3,X4),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1089]) ).

cnf(c_0_1090_0,axiom,
    ( c_Map_Omap__le(X2,X5,X3,X4)
    | ~ c_Map_Omap__le(c_Map_Omap__add(X1,X2,X3,X4),X5,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1090]) ).

cnf(c_0_1090_1,axiom,
    ( ~ c_Map_Omap__le(c_Map_Omap__add(X1,X2,X3,X4),X5,X3,X4)
    | c_Map_Omap__le(X2,X5,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1090]) ).

cnf(c_0_1091_0,axiom,
    ( X4 = X5
    | c_in(c_Pair(X4,X5,X3,X3),X2,tc_prod(X3,X3))
    | c_in(c_Pair(X5,X4,X3,X3),X2,tc_prod(X3,X3))
    | ~ c_Relation_Ototal__on(X1,X2,X3)
    | ~ c_in(X4,X1,X3)
    | ~ c_in(X5,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1091]) ).

cnf(c_0_1091_1,axiom,
    ( c_in(c_Pair(X4,X5,X3,X3),X2,tc_prod(X3,X3))
    | X4 = X5
    | c_in(c_Pair(X5,X4,X3,X3),X2,tc_prod(X3,X3))
    | ~ c_Relation_Ototal__on(X1,X2,X3)
    | ~ c_in(X4,X1,X3)
    | ~ c_in(X5,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1091]) ).

cnf(c_0_1091_2,axiom,
    ( c_in(c_Pair(X5,X4,X3,X3),X2,tc_prod(X3,X3))
    | c_in(c_Pair(X4,X5,X3,X3),X2,tc_prod(X3,X3))
    | X4 = X5
    | ~ c_Relation_Ototal__on(X1,X2,X3)
    | ~ c_in(X4,X1,X3)
    | ~ c_in(X5,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1091]) ).

cnf(c_0_1091_3,axiom,
    ( ~ c_Relation_Ototal__on(X1,X2,X3)
    | c_in(c_Pair(X5,X4,X3,X3),X2,tc_prod(X3,X3))
    | c_in(c_Pair(X4,X5,X3,X3),X2,tc_prod(X3,X3))
    | X4 = X5
    | ~ c_in(X4,X1,X3)
    | ~ c_in(X5,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1091]) ).

cnf(c_0_1091_4,axiom,
    ( ~ c_in(X4,X1,X3)
    | ~ c_Relation_Ototal__on(X1,X2,X3)
    | c_in(c_Pair(X5,X4,X3,X3),X2,tc_prod(X3,X3))
    | c_in(c_Pair(X4,X5,X3,X3),X2,tc_prod(X3,X3))
    | X4 = X5
    | ~ c_in(X5,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1091]) ).

cnf(c_0_1091_5,axiom,
    ( ~ c_in(X5,X1,X3)
    | ~ c_in(X4,X1,X3)
    | ~ c_Relation_Ototal__on(X1,X2,X3)
    | c_in(c_Pair(X5,X4,X3,X3),X2,tc_prod(X3,X3))
    | c_in(c_Pair(X4,X5,X3,X3),X2,tc_prod(X3,X3))
    | X4 = X5 ),
    inference(literals_permutation,[status(thm)],[c_0_1091]) ).

cnf(c_0_1092_0,axiom,
    ( c_in(c_Pair(X1,X4,X3,X6),c_Product__Type_OSigma(X2,X5,X3,X6),tc_prod(X3,X6))
    | ~ c_in(X1,X2,X3)
    | ~ c_in(X4,hAPP(X5,X1),X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1092]) ).

cnf(c_0_1092_1,axiom,
    ( ~ c_in(X1,X2,X3)
    | c_in(c_Pair(X1,X4,X3,X6),c_Product__Type_OSigma(X2,X5,X3,X6),tc_prod(X3,X6))
    | ~ c_in(X4,hAPP(X5,X1),X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1092]) ).

cnf(c_0_1092_2,axiom,
    ( ~ c_in(X4,hAPP(X5,X1),X6)
    | ~ c_in(X1,X2,X3)
    | c_in(c_Pair(X1,X4,X3,X6),c_Product__Type_OSigma(X2,X5,X3,X6),tc_prod(X3,X6)) ),
    inference(literals_permutation,[status(thm)],[c_0_1092]) ).

cnf(c_0_1093_0,axiom,
    ( c_in(c_Pair(X1,X4,X3,X6),c_Product__Type_OSigma(X2,X5,X3,X6),tc_prod(X3,X6))
    | ~ c_in(X1,X2,X3)
    | ~ c_in(X4,hAPP(X5,X1),X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1093]) ).

cnf(c_0_1093_1,axiom,
    ( ~ c_in(X1,X2,X3)
    | c_in(c_Pair(X1,X4,X3,X6),c_Product__Type_OSigma(X2,X5,X3,X6),tc_prod(X3,X6))
    | ~ c_in(X4,hAPP(X5,X1),X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1093]) ).

cnf(c_0_1093_2,axiom,
    ( ~ c_in(X4,hAPP(X5,X1),X6)
    | ~ c_in(X1,X2,X3)
    | c_in(c_Pair(X1,X4,X3,X6),c_Product__Type_OSigma(X2,X5,X3,X6),tc_prod(X3,X6)) ),
    inference(literals_permutation,[status(thm)],[c_0_1093]) ).

cnf(c_0_1094_0,axiom,
    ( c_in(X4,c_Wellfounded_Oacc(X2,X3),X3)
    | ~ c_in(X1,c_Wellfounded_Oacc(X2,X3),X3)
    | ~ c_in(c_Pair(X4,X1,X3,X3),c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1094]) ).

cnf(c_0_1094_1,axiom,
    ( ~ c_in(X1,c_Wellfounded_Oacc(X2,X3),X3)
    | c_in(X4,c_Wellfounded_Oacc(X2,X3),X3)
    | ~ c_in(c_Pair(X4,X1,X3,X3),c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1094]) ).

cnf(c_0_1094_2,axiom,
    ( ~ c_in(c_Pair(X4,X1,X3,X3),c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3))
    | ~ c_in(X1,c_Wellfounded_Oacc(X2,X3),X3)
    | c_in(X4,c_Wellfounded_Oacc(X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1094]) ).

cnf(c_0_1095_0,axiom,
    ( c_in(X1,c_Wellfounded_Oacc(X4,X3),X3)
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(X2,c_Wellfounded_Oacc(X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1095]) ).

cnf(c_0_1095_1,axiom,
    ( ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | c_in(X1,c_Wellfounded_Oacc(X4,X3),X3)
    | ~ c_in(X2,c_Wellfounded_Oacc(X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1095]) ).

cnf(c_0_1095_2,axiom,
    ( ~ c_in(X2,c_Wellfounded_Oacc(X4,X3),X3)
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | c_in(X1,c_Wellfounded_Oacc(X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1095]) ).

cnf(c_0_1096_0,axiom,
    ( c_WellType_OWT(X1,X2,c_Expr_Oexp_OSeq(X3,X5,tc_List_Olist(tc_String_Ochar)),X6)
    | ~ c_WellType_OWT(X1,X2,X3,X4)
    | ~ c_WellType_OWT(X1,X2,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1096]) ).

cnf(c_0_1096_1,axiom,
    ( ~ c_WellType_OWT(X1,X2,X3,X4)
    | c_WellType_OWT(X1,X2,c_Expr_Oexp_OSeq(X3,X5,tc_List_Olist(tc_String_Ochar)),X6)
    | ~ c_WellType_OWT(X1,X2,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1096]) ).

cnf(c_0_1096_2,axiom,
    ( ~ c_WellType_OWT(X1,X2,X5,X6)
    | ~ c_WellType_OWT(X1,X2,X3,X4)
    | c_WellType_OWT(X1,X2,c_Expr_Oexp_OSeq(X3,X5,tc_List_Olist(tc_String_Ochar)),X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1096]) ).

cnf(c_0_1097_0,axiom,
    ( c_in(X4,c_Wellfounded_Oacc(X2,X3),X3)
    | ~ c_in(X1,c_Wellfounded_Oacc(X2,X3),X3)
    | ~ c_in(c_Pair(X4,X1,X3,X3),X2,tc_prod(X3,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1097]) ).

cnf(c_0_1097_1,axiom,
    ( ~ c_in(X1,c_Wellfounded_Oacc(X2,X3),X3)
    | c_in(X4,c_Wellfounded_Oacc(X2,X3),X3)
    | ~ c_in(c_Pair(X4,X1,X3,X3),X2,tc_prod(X3,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1097]) ).

cnf(c_0_1097_2,axiom,
    ( ~ c_in(c_Pair(X4,X1,X3,X3),X2,tc_prod(X3,X3))
    | ~ c_in(X1,c_Wellfounded_Oacc(X2,X3),X3)
    | c_in(X4,c_Wellfounded_Oacc(X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1097]) ).

cnf(c_0_1098_0,axiom,
    ( c_in(X4,c_Wellfounded_Oacc(X2,X3),X3)
    | ~ c_in(X1,c_Wellfounded_Oacc(X2,X3),X3)
    | ~ c_in(c_Pair(X4,X1,X3,X3),X2,tc_prod(X3,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1098]) ).

cnf(c_0_1098_1,axiom,
    ( ~ c_in(X1,c_Wellfounded_Oacc(X2,X3),X3)
    | c_in(X4,c_Wellfounded_Oacc(X2,X3),X3)
    | ~ c_in(c_Pair(X4,X1,X3,X3),X2,tc_prod(X3,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1098]) ).

cnf(c_0_1098_2,axiom,
    ( ~ c_in(c_Pair(X4,X1,X3,X3),X2,tc_prod(X3,X3))
    | ~ c_in(X1,c_Wellfounded_Oacc(X2,X3),X3)
    | c_in(X4,c_Wellfounded_Oacc(X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1098]) ).

cnf(c_0_1099_0,axiom,
    ( c_in(X1,c_Relation_ODomain(X2,X3,X3),X3)
    | X1 = X4
    | ~ c_in(c_Pair(X1,X4,X3,X3),c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1099]) ).

cnf(c_0_1099_1,axiom,
    ( X1 = X4
    | c_in(X1,c_Relation_ODomain(X2,X3,X3),X3)
    | ~ c_in(c_Pair(X1,X4,X3,X3),c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1099]) ).

cnf(c_0_1099_2,axiom,
    ( ~ c_in(c_Pair(X1,X4,X3,X3),c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3))
    | X1 = X4
    | c_in(X1,c_Relation_ODomain(X2,X3,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1099]) ).

cnf(c_0_1100_0,axiom,
    ( c_in(X2,c_Relation_ORange(X5,X3,X4),X4)
    | ~ c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1100]) ).

cnf(c_0_1100_1,axiom,
    ( ~ c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4))
    | c_in(X2,c_Relation_ORange(X5,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1100]) ).

cnf(c_0_1101_0,axiom,
    ( c_in(X2,c_Relation_ORange(X5,X3,X4),X4)
    | ~ c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1101]) ).

cnf(c_0_1101_1,axiom,
    ( ~ c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4))
    | c_in(X2,c_Relation_ORange(X5,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1101]) ).

cnf(c_0_1102_0,axiom,
    ( c_in(X1,c_Relation_ODomain(X5,X3,X4),X3)
    | ~ c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1102]) ).

cnf(c_0_1102_1,axiom,
    ( ~ c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4))
    | c_in(X1,c_Relation_ODomain(X5,X3,X4),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1102]) ).

cnf(c_0_1103_0,axiom,
    ( c_in(X1,c_Relation_ODomain(X5,X3,X4),X3)
    | ~ c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1103]) ).

cnf(c_0_1103_1,axiom,
    ( ~ c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4))
    | c_in(X1,c_Relation_ODomain(X5,X3,X4),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1103]) ).

cnf(c_0_1104_0,axiom,
    ( c_in(X4,X1,X3)
    | ~ c_Equiv__Relations_Oequiv(X1,X2,X3)
    | ~ c_in(c_Pair(X4,X5,X3,X3),X2,tc_prod(X3,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1104]) ).

cnf(c_0_1104_1,axiom,
    ( ~ c_Equiv__Relations_Oequiv(X1,X2,X3)
    | c_in(X4,X1,X3)
    | ~ c_in(c_Pair(X4,X5,X3,X3),X2,tc_prod(X3,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1104]) ).

cnf(c_0_1104_2,axiom,
    ( ~ c_in(c_Pair(X4,X5,X3,X3),X2,tc_prod(X3,X3))
    | ~ c_Equiv__Relations_Oequiv(X1,X2,X3)
    | c_in(X4,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1104]) ).

cnf(c_0_1105_0,axiom,
    ( c_in(X5,X1,X3)
    | ~ c_Equiv__Relations_Oequiv(X1,X2,X3)
    | ~ c_in(c_Pair(X4,X5,X3,X3),X2,tc_prod(X3,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1105]) ).

cnf(c_0_1105_1,axiom,
    ( ~ c_Equiv__Relations_Oequiv(X1,X2,X3)
    | c_in(X5,X1,X3)
    | ~ c_in(c_Pair(X4,X5,X3,X3),X2,tc_prod(X3,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1105]) ).

cnf(c_0_1105_2,axiom,
    ( ~ c_in(c_Pair(X4,X5,X3,X3),X2,tc_prod(X3,X3))
    | ~ c_Equiv__Relations_Oequiv(X1,X2,X3)
    | c_in(X5,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1105]) ).

cnf(c_0_1106_0,axiom,
    ( c_in(X5,X1,X3)
    | ~ c_Relation_Orefl__on(X1,X2,X3)
    | ~ c_in(c_Pair(X4,X5,X3,X3),X2,tc_prod(X3,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1106]) ).

cnf(c_0_1106_1,axiom,
    ( ~ c_Relation_Orefl__on(X1,X2,X3)
    | c_in(X5,X1,X3)
    | ~ c_in(c_Pair(X4,X5,X3,X3),X2,tc_prod(X3,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1106]) ).

cnf(c_0_1106_2,axiom,
    ( ~ c_in(c_Pair(X4,X5,X3,X3),X2,tc_prod(X3,X3))
    | ~ c_Relation_Orefl__on(X1,X2,X3)
    | c_in(X5,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1106]) ).

cnf(c_0_1107_0,axiom,
    ( c_in(X4,X1,X3)
    | ~ c_Relation_Orefl__on(X1,X2,X3)
    | ~ c_in(c_Pair(X4,X5,X3,X3),X2,tc_prod(X3,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1107]) ).

cnf(c_0_1107_1,axiom,
    ( ~ c_Relation_Orefl__on(X1,X2,X3)
    | c_in(X4,X1,X3)
    | ~ c_in(c_Pair(X4,X5,X3,X3),X2,tc_prod(X3,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1107]) ).

cnf(c_0_1107_2,axiom,
    ( ~ c_in(c_Pair(X4,X5,X3,X3),X2,tc_prod(X3,X3))
    | ~ c_Relation_Orefl__on(X1,X2,X3)
    | c_in(X4,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1107]) ).

cnf(c_0_1108_0,axiom,
    ( c_WellType_OWT(X1,X5,X3,X4)
    | ~ c_WellType_OWT(X1,X2,X3,X4)
    | ~ c_Map_Omap__le(X2,X5,tc_List_Olist(tc_String_Ochar),tc_Type_Oty) ),
    inference(literals_permutation,[status(thm)],[c_0_1108]) ).

cnf(c_0_1108_1,axiom,
    ( ~ c_WellType_OWT(X1,X2,X3,X4)
    | c_WellType_OWT(X1,X5,X3,X4)
    | ~ c_Map_Omap__le(X2,X5,tc_List_Olist(tc_String_Ochar),tc_Type_Oty) ),
    inference(literals_permutation,[status(thm)],[c_0_1108]) ).

cnf(c_0_1108_2,axiom,
    ( ~ c_Map_Omap__le(X2,X5,tc_List_Olist(tc_String_Ochar),tc_Type_Oty)
    | ~ c_WellType_OWT(X1,X2,X3,X4)
    | c_WellType_OWT(X1,X5,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1108]) ).

cnf(c_0_1109_0,axiom,
    ( c_TypeRel_Owiden(X1,X2,X5,X4)
    | ~ c_TypeRel_Owiden(X1,X2,X3,X4)
    | ~ c_TypeRel_Owiden(X1,X3,X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1109]) ).

cnf(c_0_1109_1,axiom,
    ( ~ c_TypeRel_Owiden(X1,X2,X3,X4)
    | c_TypeRel_Owiden(X1,X2,X5,X4)
    | ~ c_TypeRel_Owiden(X1,X3,X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1109]) ).

cnf(c_0_1109_2,axiom,
    ( ~ c_TypeRel_Owiden(X1,X3,X5,X4)
    | ~ c_TypeRel_Owiden(X1,X2,X3,X4)
    | c_TypeRel_Owiden(X1,X2,X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1109]) ).

cnf(c_0_1110_0,axiom,
    ( c_Map_Omap__le(X1,X5,X3,X4)
    | ~ c_Map_Omap__le(X1,X2,X3,X4)
    | ~ c_Map_Omap__le(X2,X5,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1110]) ).

cnf(c_0_1110_1,axiom,
    ( ~ c_Map_Omap__le(X1,X2,X3,X4)
    | c_Map_Omap__le(X1,X5,X3,X4)
    | ~ c_Map_Omap__le(X2,X5,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1110]) ).

cnf(c_0_1110_2,axiom,
    ( ~ c_Map_Omap__le(X2,X5,X3,X4)
    | ~ c_Map_Omap__le(X1,X2,X3,X4)
    | c_Map_Omap__le(X1,X5,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1110]) ).

cnf(c_0_1111_0,axiom,
    ( c_in(X1,X4,X3)
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Relation_OId__on(X4,X3),tc_prod(X3,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1111]) ).

cnf(c_0_1111_1,axiom,
    ( ~ c_in(c_Pair(X1,X2,X3,X3),c_Relation_OId__on(X4,X3),tc_prod(X3,X3))
    | c_in(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1111]) ).

cnf(c_0_1112_0,axiom,
    ( X1 = X2
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Relation_OId__on(X4,X3),tc_prod(X3,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1112]) ).

cnf(c_0_1112_1,axiom,
    ( ~ c_in(c_Pair(X1,X2,X3,X3),c_Relation_OId__on(X4,X3),tc_prod(X3,X3))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1112]) ).

cnf(c_0_1113_0,axiom,
    ( X2 = c_Type_Oty_ONT
    | c_Type_Oty_OClass(c_TypeRel_Osko__TypeRel__Xwiden__Class__1__1(X3,X1,X2,X4)) = X2
    | ~ c_TypeRel_Owiden(X1,X2,c_Type_Oty_OClass(X3),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1113]) ).

cnf(c_0_1113_1,axiom,
    ( c_Type_Oty_OClass(c_TypeRel_Osko__TypeRel__Xwiden__Class__1__1(X3,X1,X2,X4)) = X2
    | X2 = c_Type_Oty_ONT
    | ~ c_TypeRel_Owiden(X1,X2,c_Type_Oty_OClass(X3),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1113]) ).

cnf(c_0_1113_2,axiom,
    ( ~ c_TypeRel_Owiden(X1,X2,c_Type_Oty_OClass(X3),X4)
    | c_Type_Oty_OClass(c_TypeRel_Osko__TypeRel__Xwiden__Class__1__1(X3,X1,X2,X4)) = X2
    | X2 = c_Type_Oty_ONT ),
    inference(literals_permutation,[status(thm)],[c_0_1113]) ).

cnf(c_0_1114_0,axiom,
    ( X1 = X2
    | ~ c_Map_Omap__le(X1,X2,X3,X4)
    | ~ c_Map_Omap__le(X2,X1,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1114]) ).

cnf(c_0_1114_1,axiom,
    ( ~ c_Map_Omap__le(X1,X2,X3,X4)
    | X1 = X2
    | ~ c_Map_Omap__le(X2,X1,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1114]) ).

cnf(c_0_1114_2,axiom,
    ( ~ c_Map_Omap__le(X2,X1,X3,X4)
    | ~ c_Map_Omap__le(X1,X2,X3,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1114]) ).

cnf(c_0_1115_0,axiom,
    ( X1 = X2
    | c_Expr_Oexp_OCall(X1,X3,X4,X5) != c_Expr_Oexp_OCall(X2,X6,X7,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1115]) ).

cnf(c_0_1115_1,axiom,
    ( c_Expr_Oexp_OCall(X1,X3,X4,X5) != c_Expr_Oexp_OCall(X2,X6,X7,X5)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1115]) ).

cnf(c_0_1116_0,axiom,
    ( X1 = X2
    | c_Expr_Oexp_OCall(X3,X1,X4,X5) != c_Expr_Oexp_OCall(X6,X2,X7,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1116]) ).

cnf(c_0_1116_1,axiom,
    ( c_Expr_Oexp_OCall(X3,X1,X4,X5) != c_Expr_Oexp_OCall(X6,X2,X7,X5)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1116]) ).

cnf(c_0_1117_0,axiom,
    ( X1 = X2
    | c_Expr_Oexp_OCall(X3,X4,X1,X5) != c_Expr_Oexp_OCall(X6,X7,X2,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1117]) ).

cnf(c_0_1117_1,axiom,
    ( c_Expr_Oexp_OCall(X3,X4,X1,X5) != c_Expr_Oexp_OCall(X6,X7,X2,X5)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1117]) ).

cnf(c_0_1118_0,axiom,
    ( X1 = X2
    | c_Expr_Oexp_OCond(X3,X4,X1,X5) != c_Expr_Oexp_OCond(X6,X7,X2,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1118]) ).

cnf(c_0_1118_1,axiom,
    ( c_Expr_Oexp_OCond(X3,X4,X1,X5) != c_Expr_Oexp_OCond(X6,X7,X2,X5)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1118]) ).

cnf(c_0_1119_0,axiom,
    ( X1 = X2
    | c_Expr_Oexp_OCond(X3,X1,X4,X5) != c_Expr_Oexp_OCond(X6,X2,X7,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1119]) ).

cnf(c_0_1119_1,axiom,
    ( c_Expr_Oexp_OCond(X3,X1,X4,X5) != c_Expr_Oexp_OCond(X6,X2,X7,X5)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1119]) ).

cnf(c_0_1120_0,axiom,
    ( X1 = X2
    | c_Expr_Oexp_OCond(X1,X3,X4,X5) != c_Expr_Oexp_OCond(X2,X6,X7,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1120]) ).

cnf(c_0_1120_1,axiom,
    ( c_Expr_Oexp_OCond(X1,X3,X4,X5) != c_Expr_Oexp_OCond(X2,X6,X7,X5)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1120]) ).

cnf(c_0_1121_0,axiom,
    ( X1 = X2
    | c_Expr_Oexp_OBinOp(X3,X4,X1,X5) != c_Expr_Oexp_OBinOp(X6,X7,X2,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1121]) ).

cnf(c_0_1121_1,axiom,
    ( c_Expr_Oexp_OBinOp(X3,X4,X1,X5) != c_Expr_Oexp_OBinOp(X6,X7,X2,X5)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1121]) ).

cnf(c_0_1122_0,axiom,
    ( X1 = X2
    | c_Expr_Oexp_OBinOp(X3,X1,X4,X5) != c_Expr_Oexp_OBinOp(X6,X2,X7,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1122]) ).

cnf(c_0_1122_1,axiom,
    ( c_Expr_Oexp_OBinOp(X3,X1,X4,X5) != c_Expr_Oexp_OBinOp(X6,X2,X7,X5)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1122]) ).

cnf(c_0_1123_0,axiom,
    ( X1 = X2
    | c_Expr_Oexp_OBinOp(X1,X3,X4,X5) != c_Expr_Oexp_OBinOp(X2,X6,X7,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1123]) ).

cnf(c_0_1123_1,axiom,
    ( c_Expr_Oexp_OBinOp(X1,X3,X4,X5) != c_Expr_Oexp_OBinOp(X2,X6,X7,X5)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1123]) ).

cnf(c_0_1124_0,axiom,
    ( X1 = X2
    | c_Expr_Oexp_OFAcc(X1,X3,X4,X5) != c_Expr_Oexp_OFAcc(X2,X6,X7,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1124]) ).

cnf(c_0_1124_1,axiom,
    ( c_Expr_Oexp_OFAcc(X1,X3,X4,X5) != c_Expr_Oexp_OFAcc(X2,X6,X7,X5)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1124]) ).

cnf(c_0_1125_0,axiom,
    ( X1 = X2
    | c_Expr_Oexp_OFAcc(X3,X1,X4,X5) != c_Expr_Oexp_OFAcc(X6,X2,X7,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1125]) ).

cnf(c_0_1125_1,axiom,
    ( c_Expr_Oexp_OFAcc(X3,X1,X4,X5) != c_Expr_Oexp_OFAcc(X6,X2,X7,X5)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1125]) ).

cnf(c_0_1126_0,axiom,
    ( X1 = X2
    | c_Expr_Oexp_OFAcc(X3,X4,X1,X5) != c_Expr_Oexp_OFAcc(X6,X7,X2,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1126]) ).

cnf(c_0_1126_1,axiom,
    ( c_Expr_Oexp_OFAcc(X3,X4,X1,X5) != c_Expr_Oexp_OFAcc(X6,X7,X2,X5)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1126]) ).

cnf(c_0_1127_0,axiom,
    ( X1 = X2
    | c_Pair(X1,X3,X4,X5) != c_Pair(X2,X6,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1127]) ).

cnf(c_0_1127_1,axiom,
    ( c_Pair(X1,X3,X4,X5) != c_Pair(X2,X6,X4,X5)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1127]) ).

cnf(c_0_1128_0,axiom,
    ( X1 = X2
    | c_Pair(X3,X1,X4,X5) != c_Pair(X6,X2,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1128]) ).

cnf(c_0_1128_1,axiom,
    ( c_Pair(X3,X1,X4,X5) != c_Pair(X6,X2,X4,X5)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1128]) ).

cnf(c_0_1129_0,axiom,
    ( hAPP(c_Map_Omap__add(X5,X2,X3,X4),X1) = hAPP(X2,X1)
    | ~ c_in(X1,c_Map_Odom(X2,X3,X4),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1129]) ).

cnf(c_0_1129_1,axiom,
    ( ~ c_in(X1,c_Map_Odom(X2,X3,X4),X3)
    | hAPP(c_Map_Omap__add(X5,X2,X3,X4),X1) = hAPP(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1129]) ).

cnf(c_0_1130_0,axiom,
    ( c_in(c_Pair(X1,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
    | c_in(X1,c_Relation_ODomain(X3,X2,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1130]) ).

cnf(c_0_1130_1,axiom,
    ( c_in(X1,c_Relation_ODomain(X3,X2,X2),X2)
    | c_in(c_Pair(X1,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1130]) ).

cnf(c_0_1131_0,axiom,
    ( c_in(c_Pair(X4,X4,X3,X3),X2,tc_prod(X3,X3))
    | ~ c_Relation_Orefl__on(X1,X2,X3)
    | ~ c_in(X4,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1131]) ).

cnf(c_0_1131_1,axiom,
    ( ~ c_Relation_Orefl__on(X1,X2,X3)
    | c_in(c_Pair(X4,X4,X3,X3),X2,tc_prod(X3,X3))
    | ~ c_in(X4,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1131]) ).

cnf(c_0_1131_2,axiom,
    ( ~ c_in(X4,X1,X3)
    | ~ c_Relation_Orefl__on(X1,X2,X3)
    | c_in(c_Pair(X4,X4,X3,X3),X2,tc_prod(X3,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1131]) ).

cnf(c_0_1132_0,axiom,
    ( c_in(c_Pair(X4,X4,X3,X3),X2,tc_prod(X3,X3))
    | ~ c_Relation_Orefl__on(X1,X2,X3)
    | ~ c_in(X4,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1132]) ).

cnf(c_0_1132_1,axiom,
    ( ~ c_Relation_Orefl__on(X1,X2,X3)
    | c_in(c_Pair(X4,X4,X3,X3),X2,tc_prod(X3,X3))
    | ~ c_in(X4,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1132]) ).

cnf(c_0_1132_2,axiom,
    ( ~ c_in(X4,X1,X3)
    | ~ c_Relation_Orefl__on(X1,X2,X3)
    | c_in(c_Pair(X4,X4,X3,X3),X2,tc_prod(X3,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1132]) ).

cnf(c_0_1133_0,axiom,
    ( c_in(c_Pair(X1,X1,X3,X3),c_Relation_OId__on(X2,X3),tc_prod(X3,X3))
    | ~ c_in(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1133]) ).

cnf(c_0_1133_1,axiom,
    ( ~ c_in(X1,X2,X3)
    | c_in(c_Pair(X1,X1,X3,X3),c_Relation_OId__on(X2,X3),tc_prod(X3,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1133]) ).

cnf(c_0_1134_0,axiom,
    ( c_in(X1,c_Map_Odom(X2,X3,X4),X3)
    | hAPP(c_Map_Omap__add(X2,X5,X3,X4),X1) = hAPP(X5,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1134]) ).

cnf(c_0_1134_1,axiom,
    ( hAPP(c_Map_Omap__add(X2,X5,X3,X4),X1) = hAPP(X5,X1)
    | c_in(X1,c_Map_Odom(X2,X3,X4),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1134]) ).

cnf(c_0_1135_0,axiom,
    ( c_in(X1,c_Map_Odom(X2,X3,X4),X3)
    | hAPP(c_Map_Omap__add(X5,X2,X3,X4),X1) = hAPP(X5,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1135]) ).

cnf(c_0_1135_1,axiom,
    ( hAPP(c_Map_Omap__add(X5,X2,X3,X4),X1) = hAPP(X5,X1)
    | c_in(X1,c_Map_Odom(X2,X3,X4),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1135]) ).

cnf(c_0_1136_0,axiom,
    ( c_lessequals(c_Map_Odom(X1,X3,X4),c_Map_Odom(X2,X3,X4),tc_fun(X3,tc_bool))
    | ~ c_Map_Omap__le(X1,X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1136]) ).

cnf(c_0_1136_1,axiom,
    ( ~ c_Map_Omap__le(X1,X2,X3,X4)
    | c_lessequals(c_Map_Odom(X1,X3,X4),c_Map_Odom(X2,X3,X4),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1136]) ).

cnf(c_0_1137_0,axiom,
    ( c_WellType_OWT(X1,X2,c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid)
    | ~ c_WellType_OWT(X1,X2,X3,c_Type_Oty_OClass(X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1137]) ).

cnf(c_0_1137_1,axiom,
    ( ~ c_WellType_OWT(X1,X2,X3,c_Type_Oty_OClass(X4))
    | c_WellType_OWT(X1,X2,c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid) ),
    inference(literals_permutation,[status(thm)],[c_0_1137]) ).

cnf(c_0_1138_0,axiom,
    ( hAPP(X1,X5) = hAPP(X2,X5)
    | ~ c_Map_Omap__le(X1,X2,X3,X4)
    | ~ c_in(X5,c_Map_Odom(X1,X3,X4),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1138]) ).

cnf(c_0_1138_1,axiom,
    ( ~ c_Map_Omap__le(X1,X2,X3,X4)
    | hAPP(X1,X5) = hAPP(X2,X5)
    | ~ c_in(X5,c_Map_Odom(X1,X3,X4),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1138]) ).

cnf(c_0_1138_2,axiom,
    ( ~ c_in(X5,c_Map_Odom(X1,X3,X4),X3)
    | ~ c_Map_Omap__le(X1,X2,X3,X4)
    | hAPP(X1,X5) = hAPP(X2,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1138]) ).

cnf(c_0_1139_0,axiom,
    ( X5 = c_Type_Oty_OClass(X3)
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OCast(X3,X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1139]) ).

cnf(c_0_1139_1,axiom,
    ( ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OCast(X3,X4,tc_List_Olist(tc_String_Ochar)),X5)
    | X5 = c_Type_Oty_OClass(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1139]) ).

cnf(c_0_1140_0,axiom,
    ( X5 = c_Type_Oty_OVoid
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OLAss(X3,X4,tc_List_Olist(tc_String_Ochar)),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1140]) ).

cnf(c_0_1140_1,axiom,
    ( ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_OLAss(X3,X4,tc_List_Olist(tc_String_Ochar)),X5)
    | X5 = c_Type_Oty_OVoid ),
    inference(literals_permutation,[status(thm)],[c_0_1140]) ).

cnf(c_0_1141_0,axiom,
    ( X3 = X2
    | c_Type_Oty_OClass(v_sko__TypeRel__Xwiden__Xcases__1(X1,X2,X3)) = X2
    | X2 = c_Type_Oty_ONT
    | ~ c_TypeRel_Owiden(X1,X2,X3,t_a) ),
    inference(literals_permutation,[status(thm)],[c_0_1141]) ).

cnf(c_0_1141_1,axiom,
    ( c_Type_Oty_OClass(v_sko__TypeRel__Xwiden__Xcases__1(X1,X2,X3)) = X2
    | X3 = X2
    | X2 = c_Type_Oty_ONT
    | ~ c_TypeRel_Owiden(X1,X2,X3,t_a) ),
    inference(literals_permutation,[status(thm)],[c_0_1141]) ).

cnf(c_0_1141_2,axiom,
    ( X2 = c_Type_Oty_ONT
    | c_Type_Oty_OClass(v_sko__TypeRel__Xwiden__Xcases__1(X1,X2,X3)) = X2
    | X3 = X2
    | ~ c_TypeRel_Owiden(X1,X2,X3,t_a) ),
    inference(literals_permutation,[status(thm)],[c_0_1141]) ).

cnf(c_0_1141_3,axiom,
    ( ~ c_TypeRel_Owiden(X1,X2,X3,t_a)
    | X2 = c_Type_Oty_ONT
    | c_Type_Oty_OClass(v_sko__TypeRel__Xwiden__Xcases__1(X1,X2,X3)) = X2
    | X3 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1141]) ).

cnf(c_0_1142_0,axiom,
    ( X3 = X2
    | c_Type_Oty_OClass(v_sko__TypeRel__Xwiden__Xcases__2(X1,X2,X3)) = X3
    | X2 = c_Type_Oty_ONT
    | ~ c_TypeRel_Owiden(X1,X2,X3,t_a) ),
    inference(literals_permutation,[status(thm)],[c_0_1142]) ).

cnf(c_0_1142_1,axiom,
    ( c_Type_Oty_OClass(v_sko__TypeRel__Xwiden__Xcases__2(X1,X2,X3)) = X3
    | X3 = X2
    | X2 = c_Type_Oty_ONT
    | ~ c_TypeRel_Owiden(X1,X2,X3,t_a) ),
    inference(literals_permutation,[status(thm)],[c_0_1142]) ).

cnf(c_0_1142_2,axiom,
    ( X2 = c_Type_Oty_ONT
    | c_Type_Oty_OClass(v_sko__TypeRel__Xwiden__Xcases__2(X1,X2,X3)) = X3
    | X3 = X2
    | ~ c_TypeRel_Owiden(X1,X2,X3,t_a) ),
    inference(literals_permutation,[status(thm)],[c_0_1142]) ).

cnf(c_0_1142_3,axiom,
    ( ~ c_TypeRel_Owiden(X1,X2,X3,t_a)
    | X2 = c_Type_Oty_ONT
    | c_Type_Oty_OClass(v_sko__TypeRel__Xwiden__Xcases__2(X1,X2,X3)) = X3
    | X3 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1142]) ).

cnf(c_0_1143_0,axiom,
    ( X4 = c_Type_Oty_OVoid
    | ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1143]) ).

cnf(c_0_1143_1,axiom,
    ( ~ c_WellType_OWT(X1,X2,c_Expr_Oexp_Othrow(X3,tc_List_Olist(tc_String_Ochar)),X4)
    | X4 = c_Type_Oty_OVoid ),
    inference(literals_permutation,[status(thm)],[c_0_1143]) ).

cnf(c_0_1144_0,axiom,
    ( c_lessequals(X1,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1144]) ).

cnf(c_0_1144_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(X1,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1144]) ).

cnf(c_0_1144_2,axiom,
    ( ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1144]) ).

cnf(c_0_1145_0,axiom,
    ( c_in(X4,X2,X3)
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_in(X4,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1145]) ).

cnf(c_0_1145_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_in(X4,X2,X3)
    | ~ c_in(X4,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1145]) ).

cnf(c_0_1145_2,axiom,
    ( ~ c_in(X4,X1,X3)
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_in(X4,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1145]) ).

cnf(c_0_1146_0,axiom,
    ( c_in(X4,X2,X3)
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_in(X4,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1146]) ).

cnf(c_0_1146_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_in(X4,X2,X3)
    | ~ c_in(X4,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1146]) ).

cnf(c_0_1146_2,axiom,
    ( ~ c_in(X4,X1,X3)
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_in(X4,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1146]) ).

cnf(c_0_1147_0,axiom,
    ( c_in(X1,X4,X3)
    | ~ c_in(X1,X2,X3)
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1147]) ).

cnf(c_0_1147_1,axiom,
    ( ~ c_in(X1,X2,X3)
    | c_in(X1,X4,X3)
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1147]) ).

cnf(c_0_1147_2,axiom,
    ( ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_in(X1,X2,X3)
    | c_in(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1147]) ).

cnf(c_0_1148_0,axiom,
    ( c_in(X4,X2,X3)
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_in(X4,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1148]) ).

cnf(c_0_1148_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_in(X4,X2,X3)
    | ~ c_in(X4,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1148]) ).

cnf(c_0_1148_2,axiom,
    ( ~ c_in(X4,X1,X3)
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_in(X4,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1148]) ).

cnf(c_0_1149_0,axiom,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1149]) ).

cnf(c_0_1149_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | X1 = X2
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1149]) ).

cnf(c_0_1149_2,axiom,
    ( ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1149]) ).

cnf(c_0_1150_0,axiom,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1150]) ).

cnf(c_0_1150_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | X1 = X2
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1150]) ).

cnf(c_0_1150_2,axiom,
    ( ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1150]) ).

cnf(c_0_1151_0,axiom,
    ( c_lessequals(hAPP(X1,X5),hAPP(X2,X5),X4)
    | ~ c_lessequals(X1,X2,tc_fun(X3,X4))
    | ~ class_HOL_Oord(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1151]) ).

cnf(c_0_1151_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,X4))
    | c_lessequals(hAPP(X1,X5),hAPP(X2,X5),X4)
    | ~ class_HOL_Oord(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1151]) ).

cnf(c_0_1151_2,axiom,
    ( ~ class_HOL_Oord(X4)
    | ~ c_lessequals(X1,X2,tc_fun(X3,X4))
    | c_lessequals(hAPP(X1,X5),hAPP(X2,X5),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1151]) ).

cnf(c_0_1152_0,axiom,
    ( c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1152]) ).

cnf(c_0_1152_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1152]) ).

cnf(c_0_1152_2,axiom,
    ( ~ c_lessequals(X4,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1152]) ).

cnf(c_0_1152_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1152]) ).

cnf(c_0_1153_0,axiom,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1153]) ).

cnf(c_0_1153_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1153]) ).

cnf(c_0_1153_2,axiom,
    ( ~ c_lessequals(X2,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1153]) ).

cnf(c_0_1153_3,axiom,
    ( ~ class_Orderings_Opreorder(X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1153]) ).

cnf(c_0_1154_0,axiom,
    ( c_in(X1,c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3))
    | ~ c_in(X1,X2,tc_prod(X3,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1154]) ).

cnf(c_0_1154_1,axiom,
    ( ~ c_in(X1,X2,tc_prod(X3,X3))
    | c_in(X1,c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1154]) ).

cnf(c_0_1155_0,axiom,
    ( hBOOL(hAPP(X2,X4))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1155]) ).

cnf(c_0_1155_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | hBOOL(hAPP(X2,X4))
    | ~ hBOOL(hAPP(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1155]) ).

cnf(c_0_1155_2,axiom,
    ( ~ hBOOL(hAPP(X1,X4))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | hBOOL(hAPP(X2,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1155]) ).

cnf(c_0_1156_0,axiom,
    ( hBOOL(hAPP(X3,X2))
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1156]) ).

cnf(c_0_1156_1,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X3,X2))
    | ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_1156]) ).

cnf(c_0_1156_2,axiom,
    ( ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool))
    | ~ hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1156]) ).

cnf(c_0_1157_0,axiom,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1157]) ).

cnf(c_0_1157_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1157]) ).

cnf(c_0_1157_2,axiom,
    ( ~ c_lessequals(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | X1 = X2
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1157]) ).

cnf(c_0_1157_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1157]) ).

cnf(c_0_1158_0,axiom,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1158]) ).

cnf(c_0_1158_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1158]) ).

cnf(c_0_1158_2,axiom,
    ( ~ c_lessequals(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | X1 = X2
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1158]) ).

cnf(c_0_1158_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1158]) ).

cnf(c_0_1159_0,axiom,
    ( X2 = X1
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1159]) ).

cnf(c_0_1159_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | X2 = X1
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1159]) ).

cnf(c_0_1159_2,axiom,
    ( ~ c_lessequals(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | X2 = X1
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1159]) ).

cnf(c_0_1159_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_1159]) ).

cnf(c_0_1160_0,axiom,
    ( X1 = X2
    | c_Expr_Oexp_OCast(X1,X3,X4) != c_Expr_Oexp_OCast(X2,X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1160]) ).

cnf(c_0_1160_1,axiom,
    ( c_Expr_Oexp_OCast(X1,X3,X4) != c_Expr_Oexp_OCast(X2,X5,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1160]) ).

cnf(c_0_1161_0,axiom,
    ( X1 = X2
    | c_Expr_Oexp_OCast(X3,X1,X4) != c_Expr_Oexp_OCast(X5,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1161]) ).

cnf(c_0_1161_1,axiom,
    ( c_Expr_Oexp_OCast(X3,X1,X4) != c_Expr_Oexp_OCast(X5,X2,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1161]) ).

cnf(c_0_1162_0,axiom,
    ( X1 = X2
    | c_Expr_Oexp_OLAss(X3,X1,X4) != c_Expr_Oexp_OLAss(X5,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1162]) ).

cnf(c_0_1162_1,axiom,
    ( c_Expr_Oexp_OLAss(X3,X1,X4) != c_Expr_Oexp_OLAss(X5,X2,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1162]) ).

cnf(c_0_1163_0,axiom,
    ( X1 = X2
    | c_Expr_Oexp_OLAss(X1,X3,X4) != c_Expr_Oexp_OLAss(X2,X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1163]) ).

cnf(c_0_1163_1,axiom,
    ( c_Expr_Oexp_OLAss(X1,X3,X4) != c_Expr_Oexp_OLAss(X2,X5,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1163]) ).

cnf(c_0_1164_0,axiom,
    ( X1 = X2
    | c_Expr_Oexp_OSeq(X3,X1,X4) != c_Expr_Oexp_OSeq(X5,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1164]) ).

cnf(c_0_1164_1,axiom,
    ( c_Expr_Oexp_OSeq(X3,X1,X4) != c_Expr_Oexp_OSeq(X5,X2,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1164]) ).

cnf(c_0_1165_0,axiom,
    ( X1 = X2
    | c_Expr_Oexp_OSeq(X1,X3,X4) != c_Expr_Oexp_OSeq(X2,X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1165]) ).

cnf(c_0_1165_1,axiom,
    ( c_Expr_Oexp_OSeq(X1,X3,X4) != c_Expr_Oexp_OSeq(X2,X5,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1165]) ).

cnf(c_0_1166_0,axiom,
    ( c_Relation_Orefl__on(X1,X2,X3)
    | ~ c_Equiv__Relations_Oequiv(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1166]) ).

cnf(c_0_1166_1,axiom,
    ( ~ c_Equiv__Relations_Oequiv(X1,X2,X3)
    | c_Relation_Orefl__on(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1166]) ).

cnf(c_0_1167_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1167]) ).

cnf(c_0_1167_1,axiom,
    ( c_lessequals(X2,X1,X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1167]) ).

cnf(c_0_1167_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | c_lessequals(X2,X1,X3)
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1167]) ).

cnf(c_0_1168_0,axiom,
    ( hBOOL(hAPP(X2,X1))
    | ~ c_in(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1168]) ).

cnf(c_0_1168_1,axiom,
    ( ~ c_in(X1,X2,X3)
    | hBOOL(hAPP(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1168]) ).

cnf(c_0_1169_0,axiom,
    ( c_in(X2,X1,X3)
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1169]) ).

cnf(c_0_1169_1,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | c_in(X2,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1169]) ).

cnf(c_0_1170_0,axiom,
    ( X1 = X2
    | ~ c_fequal(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1170]) ).

cnf(c_0_1170_1,axiom,
    ( ~ c_fequal(X1,X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1170]) ).

cnf(c_0_1171_0,axiom,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1171]) ).

cnf(c_0_1171_1,axiom,
    ( ~ class_Orderings_Oorder(X2)
    | c_lessequals(X1,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1171]) ).

cnf(c_0_1172_0,axiom,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Opreorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1172]) ).

cnf(c_0_1172_1,axiom,
    ( ~ class_Orderings_Opreorder(X2)
    | c_lessequals(X1,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1172]) ).

cnf(c_0_1173_0,axiom,
    ( c_Objects_Ohext(X1,X3)
    | ~ c_Objects_Ohext(X1,X2)
    | ~ c_Objects_Ohext(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1173]) ).

cnf(c_0_1173_1,axiom,
    ( ~ c_Objects_Ohext(X1,X2)
    | c_Objects_Ohext(X1,X3)
    | ~ c_Objects_Ohext(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1173]) ).

cnf(c_0_1173_2,axiom,
    ( ~ c_Objects_Ohext(X2,X3)
    | ~ c_Objects_Ohext(X1,X2)
    | c_Objects_Ohext(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1173]) ).

cnf(c_0_1174_0,axiom,
    ( X1 = X2
    | c_Expr_Oexp_Othrow(X1,X3) != c_Expr_Oexp_Othrow(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1174]) ).

cnf(c_0_1174_1,axiom,
    ( c_Expr_Oexp_Othrow(X1,X3) != c_Expr_Oexp_Othrow(X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1174]) ).

cnf(c_0_1175_0,axiom,
    ( X1 = X2
    | c_Expr_Oexp_OVal(X1,X3) != c_Expr_Oexp_OVal(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1175]) ).

cnf(c_0_1175_1,axiom,
    ( c_Expr_Oexp_OVal(X1,X3) != c_Expr_Oexp_OVal(X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1175]) ).

cnf(c_0_1176_0,axiom,
    ( class_Orderings_Opreorder(tc_fun(X2,X1))
    | ~ class_Orderings_Opreorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1176]) ).

cnf(c_0_1176_1,axiom,
    ( ~ class_Orderings_Opreorder(X1)
    | class_Orderings_Opreorder(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1176]) ).

cnf(c_0_1177_0,axiom,
    ( class_Orderings_Oorder(tc_fun(X2,X1))
    | ~ class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1177]) ).

cnf(c_0_1177_1,axiom,
    ( ~ class_Orderings_Oorder(X1)
    | class_Orderings_Oorder(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1177]) ).

cnf(c_0_1178_0,axiom,
    ( class_HOL_Oord(tc_fun(X2,X1))
    | ~ class_HOL_Oord(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1178]) ).

cnf(c_0_1178_1,axiom,
    ( ~ class_HOL_Oord(X1)
    | class_HOL_Oord(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1178]) ).

cnf(c_0_1179_0,axiom,
    ( X1 = X2
    | c_Type_Oty_OClass(X1) != c_Type_Oty_OClass(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1179]) ).

cnf(c_0_1179_1,axiom,
    ( c_Type_Oty_OClass(X1) != c_Type_Oty_OClass(X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1179]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_801,negated_conjecture,
    ! [X1] :
      ( v_thesis____
      | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X1) ),
    file('<stdin>',cls_conjecture_1) ).

fof(c_0_1_802,negated_conjecture,
    ~ v_thesis____,
    file('<stdin>',cls_conjecture_0) ).

fof(c_0_2_803,negated_conjecture,
    ! [X1] :
      ( v_thesis____
      | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X1) ),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_3_804,negated_conjecture,
    ~ v_thesis____,
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_4_805,negated_conjecture,
    ! [X2] :
      ( v_thesis____
      | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X2) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2])])]) ).

fof(c_0_5_806,negated_conjecture,
    ~ v_thesis____,
    c_0_3 ).

cnf(c_0_6_807,negated_conjecture,
    ( v_thesis____
    | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7_808,negated_conjecture,
    ~ v_thesis____,
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8_809,negated_conjecture,
    ( v_thesis____
    | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X1) ),
    c_0_6,
    [final] ).

cnf(c_0_9_810,negated_conjecture,
    ~ v_thesis____,
    c_0_7,
    [final] ).

% End CNF derivation

%-------------------------------------------------------------
% Proof by iprover

cnf(c_754,negated_conjecture,
    ~ v_thesis____,
    file('/export/starexec/sandbox/tmp/iprover_modulo_cf9115.p',c_0_9) ).

cnf(c_1059,negated_conjecture,
    ~ v_thesis____,
    inference(copy,[status(esa)],[c_754]) ).

cnf(c_1063,negated_conjecture,
    ~ v_thesis____,
    inference(copy,[status(esa)],[c_1059]) ).

cnf(c_1064,negated_conjecture,
    ~ v_thesis____,
    inference(copy,[status(esa)],[c_1063]) ).

cnf(c_1065,negated_conjecture,
    ~ v_thesis____,
    inference(copy,[status(esa)],[c_1064]) ).

cnf(c_3325,negated_conjecture,
    ~ v_thesis____,
    inference(copy,[status(esa)],[c_1065]) ).

cnf(c_345,plain,
    ( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X0)
    | v_thesis____ ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_cf9115.p',c_0_1082_0) ).

cnf(c_2512,plain,
    ( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X0)
    | v_thesis____ ),
    inference(copy,[status(esa)],[c_345]) ).

cnf(c_3329,plain,
    ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X0),
    inference(backward_subsumption_resolution,[status(thm)],[c_3325,c_2512]) ).

cnf(c_3330,plain,
    ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X0),
    inference(rewriting,[status(thm)],[c_3329]) ).

cnf(c_138,plain,
    ( ~ c_WellTypeRT_OWTrt(X0,X1,X2,c_Expr_Oexp_OFAss(X3,X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | c_WellTypeRT_OWTrt(X0,X1,X2,X6,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(X2,X0,X1,X6))
    | c_WellTypeRT_OWTrt(X0,X1,X2,X6,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X5,X2,X4,X0,X3,X1,X6)) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_cf9115.p',c_0_1001_0) ).

cnf(c_2098,plain,
    ( ~ c_WellTypeRT_OWTrt(X0,X1,X2,c_Expr_Oexp_OFAss(X3,X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
    | c_WellTypeRT_OWTrt(X0,X1,X2,X6,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(X2,X0,X1,X6))
    | c_WellTypeRT_OWTrt(X0,X1,X2,X6,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X5,X2,X4,X0,X3,X1,X6)) ),
    inference(copy,[status(esa)],[c_138]) ).

cnf(c_3345,plain,
    ( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OFAss(X0,X1,X2,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),X3)
    | c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(v_E____,v_P,v_ha____,v_e_092_060_094isub_0622____)) ),
    inference(resolution,[status(thm)],[c_3330,c_2098]) ).

cnf(c_3346,plain,
    ( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OFAss(X0,X1,X2,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),X3)
    | c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(v_E____,v_P,v_ha____,v_e_092_060_094isub_0622____)) ),
    inference(rewriting,[status(thm)],[c_3345]) ).

cnf(c_3509,plain,
    ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OFAss(X0,X1,X2,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),X3),
    inference(forward_subsumption_resolution,[status(thm)],[c_3346,c_3330]) ).

cnf(c_3510,plain,
    ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OFAss(X0,X1,X2,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),X3),
    inference(rewriting,[status(thm)],[c_3509]) ).

cnf(c_599,plain,
    c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OFAss(v_ea____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_T____),
    file('/export/starexec/sandbox/tmp/iprover_modulo_cf9115.p',c_0_793_0) ).

cnf(c_3019,plain,
    c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OFAss(v_ea____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_T____),
    inference(copy,[status(esa)],[c_599]) ).

cnf(c_3020,plain,
    c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OFAss(v_ea____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid),
    inference(rewriting,[status(thm)],[c_3019]) ).

cnf(c_3512,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_3510,c_3020]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV954-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13  % Command  : iprover_modulo %s %d
% 0.13/0.33  % Computer : n015.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 : Tue Jun 14 23:15:09 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.13/0.34  % Running in mono-core mode
% 0.19/0.61  % Orienting using strategy Equiv(ClausalAll)
% 0.19/0.61  % Orientation found
% 0.19/0.61  % 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_63ede3.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_cf9115.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_8f7c5f | grep -v "SZS"
% 0.47/0.63  
% 0.47/0.63  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.47/0.63  
% 0.47/0.63  % 
% 0.47/0.63  % ------  iProver source info 
% 0.47/0.63  
% 0.47/0.63  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.47/0.63  % git: non_committed_changes: true
% 0.47/0.63  % git: last_make_outside_of_git: true
% 0.47/0.63  
% 0.47/0.63  % 
% 0.47/0.63  % ------ Input Options
% 0.47/0.63  
% 0.47/0.63  % --out_options                         all
% 0.47/0.63  % --tptp_safe_out                       true
% 0.47/0.63  % --problem_path                        ""
% 0.47/0.63  % --include_path                        ""
% 0.47/0.63  % --clausifier                          .//eprover
% 0.47/0.63  % --clausifier_options                  --tstp-format  
% 0.47/0.63  % --stdin                               false
% 0.47/0.63  % --dbg_backtrace                       false
% 0.47/0.63  % --dbg_dump_prop_clauses               false
% 0.47/0.63  % --dbg_dump_prop_clauses_file          -
% 0.47/0.63  % --dbg_out_stat                        false
% 0.47/0.63  
% 0.47/0.63  % ------ General Options
% 0.47/0.63  
% 0.47/0.63  % --fof                                 false
% 0.47/0.63  % --time_out_real                       150.
% 0.47/0.63  % --time_out_prep_mult                  0.2
% 0.47/0.63  % --time_out_virtual                    -1.
% 0.47/0.63  % --schedule                            none
% 0.47/0.63  % --ground_splitting                    input
% 0.47/0.63  % --splitting_nvd                       16
% 0.47/0.63  % --non_eq_to_eq                        false
% 0.47/0.63  % --prep_gs_sim                         true
% 0.47/0.63  % --prep_unflatten                      false
% 0.47/0.63  % --prep_res_sim                        true
% 0.47/0.63  % --prep_upred                          true
% 0.47/0.63  % --res_sim_input                       true
% 0.47/0.63  % --clause_weak_htbl                    true
% 0.47/0.63  % --gc_record_bc_elim                   false
% 0.47/0.63  % --symbol_type_check                   false
% 0.47/0.63  % --clausify_out                        false
% 0.47/0.63  % --large_theory_mode                   false
% 0.47/0.63  % --prep_sem_filter                     none
% 0.47/0.63  % --prep_sem_filter_out                 false
% 0.47/0.63  % --preprocessed_out                    false
% 0.47/0.63  % --sub_typing                          false
% 0.47/0.63  % --brand_transform                     false
% 0.47/0.63  % --pure_diseq_elim                     true
% 0.47/0.63  % --min_unsat_core                      false
% 0.47/0.63  % --pred_elim                           true
% 0.47/0.63  % --add_important_lit                   false
% 0.47/0.63  % --soft_assumptions                    false
% 0.47/0.63  % --reset_solvers                       false
% 0.47/0.63  % --bc_imp_inh                          []
% 0.47/0.63  % --conj_cone_tolerance                 1.5
% 0.47/0.63  % --prolific_symb_bound                 500
% 0.47/0.63  % --lt_threshold                        2000
% 0.47/0.63  
% 0.47/0.63  % ------ SAT Options
% 0.47/0.63  
% 0.47/0.63  % --sat_mode                            false
% 0.47/0.63  % --sat_fm_restart_options              ""
% 0.47/0.63  % --sat_gr_def                          false
% 0.47/0.63  % --sat_epr_types                       true
% 0.47/0.63  % --sat_non_cyclic_types                false
% 0.47/0.63  % --sat_finite_models                   false
% 0.47/0.63  % --sat_fm_lemmas                       false
% 0.47/0.63  % --sat_fm_prep                         false
% 0.47/0.63  % --sat_fm_uc_incr                      true
% 0.47/0.63  % --sat_out_model                       small
% 0.47/0.63  % --sat_out_clauses                     false
% 0.47/0.63  
% 0.47/0.63  % ------ QBF Options
% 0.47/0.63  
% 0.47/0.63  % --qbf_mode                            false
% 0.47/0.63  % --qbf_elim_univ                       true
% 0.47/0.63  % --qbf_sk_in                           true
% 0.47/0.63  % --qbf_pred_elim                       true
% 0.47/0.63  % --qbf_split                           32
% 0.47/0.63  
% 0.47/0.63  % ------ BMC1 Options
% 0.47/0.63  
% 0.47/0.63  % --bmc1_incremental                    false
% 0.47/0.63  % --bmc1_axioms                         reachable_all
% 0.47/0.63  % --bmc1_min_bound                      0
% 0.47/0.63  % --bmc1_max_bound                      -1
% 0.47/0.63  % --bmc1_max_bound_default              -1
% 0.47/0.63  % --bmc1_symbol_reachability            true
% 0.47/0.63  % --bmc1_property_lemmas                false
% 0.47/0.63  % --bmc1_k_induction                    false
% 0.47/0.63  % --bmc1_non_equiv_states               false
% 0.47/0.63  % --bmc1_deadlock                       false
% 0.47/0.63  % --bmc1_ucm                            false
% 0.47/0.63  % --bmc1_add_unsat_core                 none
% 0.47/0.63  % --bmc1_unsat_core_children            false
% 0.47/0.63  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.47/0.63  % --bmc1_out_stat                       full
% 0.47/0.63  % --bmc1_ground_init                    false
% 0.47/0.63  % --bmc1_pre_inst_next_state            false
% 0.47/0.63  % --bmc1_pre_inst_state                 false
% 0.47/0.63  % --bmc1_pre_inst_reach_state           false
% 0.47/0.63  % --bmc1_out_unsat_core                 false
% 0.47/0.63  % --bmc1_aig_witness_out                false
% 0.47/0.63  % --bmc1_verbose                        false
% 0.47/0.63  % --bmc1_dump_clauses_tptp              false
% 1.10/1.37  % --bmc1_dump_unsat_core_tptp           false
% 1.10/1.37  % --bmc1_dump_file                      -
% 1.10/1.37  % --bmc1_ucm_expand_uc_limit            128
% 1.10/1.37  % --bmc1_ucm_n_expand_iterations        6
% 1.10/1.37  % --bmc1_ucm_extend_mode                1
% 1.10/1.37  % --bmc1_ucm_init_mode                  2
% 1.10/1.37  % --bmc1_ucm_cone_mode                  none
% 1.10/1.37  % --bmc1_ucm_reduced_relation_type      0
% 1.10/1.37  % --bmc1_ucm_relax_model                4
% 1.10/1.37  % --bmc1_ucm_full_tr_after_sat          true
% 1.10/1.37  % --bmc1_ucm_expand_neg_assumptions     false
% 1.10/1.37  % --bmc1_ucm_layered_model              none
% 1.10/1.37  % --bmc1_ucm_max_lemma_size             10
% 1.10/1.37  
% 1.10/1.37  % ------ AIG Options
% 1.10/1.37  
% 1.10/1.37  % --aig_mode                            false
% 1.10/1.37  
% 1.10/1.37  % ------ Instantiation Options
% 1.10/1.37  
% 1.10/1.37  % --instantiation_flag                  true
% 1.10/1.37  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 1.10/1.37  % --inst_solver_per_active              750
% 1.10/1.37  % --inst_solver_calls_frac              0.5
% 1.10/1.37  % --inst_passive_queue_type             priority_queues
% 1.10/1.37  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 1.10/1.37  % --inst_passive_queues_freq            [25;2]
% 1.10/1.37  % --inst_dismatching                    true
% 1.10/1.37  % --inst_eager_unprocessed_to_passive   true
% 1.10/1.37  % --inst_prop_sim_given                 true
% 1.10/1.37  % --inst_prop_sim_new                   false
% 1.10/1.37  % --inst_orphan_elimination             true
% 1.10/1.37  % --inst_learning_loop_flag             true
% 1.10/1.37  % --inst_learning_start                 3000
% 1.10/1.37  % --inst_learning_factor                2
% 1.10/1.37  % --inst_start_prop_sim_after_learn     3
% 1.10/1.37  % --inst_sel_renew                      solver
% 1.10/1.37  % --inst_lit_activity_flag              true
% 1.10/1.37  % --inst_out_proof                      true
% 1.10/1.37  
% 1.10/1.37  % ------ Resolution Options
% 1.10/1.37  
% 1.10/1.37  % --resolution_flag                     true
% 1.10/1.37  % --res_lit_sel                         kbo_max
% 1.10/1.37  % --res_to_prop_solver                  none
% 1.10/1.37  % --res_prop_simpl_new                  false
% 1.10/1.37  % --res_prop_simpl_given                false
% 1.10/1.37  % --res_passive_queue_type              priority_queues
% 1.10/1.37  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 1.10/1.37  % --res_passive_queues_freq             [15;5]
% 1.10/1.37  % --res_forward_subs                    full
% 1.10/1.37  % --res_backward_subs                   full
% 1.10/1.37  % --res_forward_subs_resolution         true
% 1.10/1.37  % --res_backward_subs_resolution        true
% 1.10/1.37  % --res_orphan_elimination              false
% 1.10/1.37  % --res_time_limit                      1000.
% 1.10/1.37  % --res_out_proof                       true
% 1.10/1.37  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_63ede3.s
% 1.10/1.37  % --modulo                              true
% 1.10/1.37  
% 1.10/1.37  % ------ Combination Options
% 1.10/1.37  
% 1.10/1.37  % --comb_res_mult                       1000
% 1.10/1.37  % --comb_inst_mult                      300
% 1.10/1.37  % ------ 
% 1.10/1.37  
% 1.10/1.37  % ------ Parsing...% successful
% 1.10/1.37  
% 1.10/1.37  % ------ 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 % 
% 1.10/1.37  
% 1.10/1.37  % ------ Proving...
% 1.10/1.37  % ------ Problem Properties 
% 1.10/1.37  
% 1.10/1.37  % 
% 1.10/1.37  % EPR                                   false
% 1.10/1.37  % Horn                                  false
% 1.10/1.37  % Has equality                          true
% 1.10/1.37  
% 1.10/1.37  % % ------ Input Options Time Limit: Unbounded
% 1.10/1.37  
% 1.10/1.37  
% 1.10/1.37  % warning: Clause {~(c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X0));v_thesis____} has no selected literals
% 1.10/1.37  cnf(c_753,negated_conjecture,
% 1.10/1.37      ( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X0)
% 1.10/1.37      | v_thesis____ ),
% 1.10/1.37      file('/export/starexec/sandbox/tmp/iprover_modulo_cf9115.p', c_0_8) ).
% 1.10/1.37  
% 1.10/1.37  % warning: Clause {~(c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X0));v_thesis____} has no selected literals
% 1.10/1.37  cnf(c_753,negated_conjecture,
% 1.10/1.37      ( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X0)
% 1.10/1.37      | v_thesis____ ),
% 1.10/1.37      file('/export/starexec/sandbox/tmp/iprover_modulo_cf9115.p', c_0_8) ).
% 1.10/1.37  
% 1.10/1.37  Compiling...
% 1.10/1.37  Loading plugin: done.
% 1.10/1.37  Compiling...
% 1.10/1.37  Loading plugin: done.
% 1.10/1.37  Compiling...
% 1.10/1.37  Loading plugin: done.
% 1.10/1.37  Compiling...
% 1.10/1.37  Loading plugin: done.
% 1.10/1.37  Compiling...
% 1.10/1.37  Loading plugin: done.
% 1.10/1.37  Compiling...
% 1.10/1.37  Loading plugin: done.
% 1.10/1.37  % warning: Clause {~(c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X0));v_thesis____} has no selected literals
% 1.10/1.38  cnf(c_753,negated_conjecture,
% 1.10/1.38      ( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X0)
% 1.10/1.38      | v_thesis____ ),
% 1.10/1.38      file('/export/starexec/sandbox/tmp/iprover_modulo_cf9115.p', c_0_8) ).
% 1.10/1.38  
% 1.10/1.38  % warning: Clause {~(c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X0));v_thesis____} has no selected literals
% 1.10/1.38  cnf(c_753,negated_conjecture,
% 1.10/1.38      ( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X0)
% 1.10/1.38      | v_thesis____ ),
% 1.10/1.38      file('/export/starexec/sandbox/tmp/iprover_modulo_cf9115.p', c_0_8) ).
% 1.10/1.38  
% 1.10/1.38  % % ------ Current options:
% 1.10/1.38  
% 1.10/1.38  % ------ Input Options
% 1.10/1.38  
% 1.10/1.38  % --out_options                         all
% 1.10/1.38  % --tptp_safe_out                       true
% 1.10/1.38  % --problem_path                        ""
% 1.10/1.38  % --include_path                        ""
% 1.10/1.38  % --clausifier                          .//eprover
% 1.10/1.38  % --clausifier_options                  --tstp-format  
% 1.10/1.38  % --stdin                               false
% 1.10/1.38  % --dbg_backtrace                       false
% 1.10/1.38  % --dbg_dump_prop_clauses               false
% 1.10/1.38  % --dbg_dump_prop_clauses_file          -
% 1.10/1.38  % --dbg_out_stat                        false
% 1.10/1.38  
% 1.10/1.38  % ------ General Options
% 1.10/1.38  
% 1.10/1.38  % --fof                                 false
% 1.10/1.38  % --time_out_real                       150.
% 1.10/1.38  % --time_out_prep_mult                  0.2
% 1.10/1.38  % --time_out_virtual                    -1.
% 1.10/1.38  % --schedule                            none
% 1.10/1.38  % --ground_splitting                    input
% 1.10/1.38  % --splitting_nvd                       16
% 1.10/1.38  % --non_eq_to_eq                        false
% 1.10/1.38  % --prep_gs_sim                         true
% 1.10/1.38  % --prep_unflatten                      false
% 1.10/1.38  % --prep_res_sim                        true
% 1.10/1.38  % --prep_upred                          true
% 1.10/1.38  % --res_sim_input                       true
% 1.10/1.38  % --clause_weak_htbl                    true
% 1.10/1.38  % --gc_record_bc_elim                   false
% 1.10/1.38  % --symbol_type_check                   false
% 1.10/1.38  % --clausify_out                        false
% 1.10/1.38  % --large_theory_mode                   false
% 1.10/1.38  % --prep_sem_filter                     none
% 1.10/1.38  % --prep_sem_filter_out                 false
% 1.10/1.38  % --preprocessed_out                    false
% 1.10/1.38  % --sub_typing                          false
% 1.10/1.38  % --brand_transform                     false
% 1.10/1.38  % --pure_diseq_elim                     true
% 1.10/1.38  % --min_unsat_core                      false
% 1.10/1.38  % --pred_elim                           true
% 1.10/1.38  % --add_important_lit                   false
% 1.10/1.38  % --soft_assumptions                    false
% 1.10/1.38  % --reset_solvers                       false
% 1.10/1.38  % --bc_imp_inh                          []
% 1.10/1.38  % --conj_cone_tolerance                 1.5
% 1.10/1.38  % --prolific_symb_bound                 500
% 1.10/1.38  % --lt_threshold                        2000
% 1.10/1.38  
% 1.10/1.38  % ------ SAT Options
% 1.10/1.38  
% 1.10/1.38  % --sat_mode                            false
% 1.10/1.38  % --sat_fm_restart_options              ""
% 1.10/1.38  % --sat_gr_def                          false
% 1.10/1.38  % --sat_epr_types                       true
% 1.10/1.38  % --sat_non_cyclic_types                false
% 1.10/1.38  % --sat_finite_models                   false
% 1.10/1.38  % --sat_fm_lemmas                       false
% 1.10/1.38  % --sat_fm_prep                         false
% 1.10/1.38  % --sat_fm_uc_incr                      true
% 1.10/1.38  % --sat_out_model                       small
% 1.10/1.38  % --sat_out_clauses                     false
% 1.10/1.38  
% 1.10/1.38  % ------ QBF Options
% 1.10/1.38  
% 1.10/1.38  % --qbf_mode                            false
% 1.10/1.38  % --qbf_elim_univ                       true
% 1.10/1.38  % --qbf_sk_in                           true
% 1.10/1.38  % --qbf_pred_elim                       true
% 1.10/1.38  % --qbf_split                           32
% 1.10/1.38  
% 1.10/1.38  % ------ BMC1 Options
% 1.10/1.38  
% 1.10/1.38  % --bmc1_incremental                    false
% 1.10/1.38  % --bmc1_axioms                         reachable_all
% 1.10/1.38  % --bmc1_min_bound                      0
% 1.10/1.38  % --bmc1_max_bound                      -1
% 1.10/1.38  % --bmc1_max_bound_default              -1
% 1.10/1.38  % --bmc1_symbol_reachability            true
% 1.10/1.38  % --bmc1_property_lemmas                false
% 1.10/1.38  % --bmc1_k_induction                    false
% 1.10/1.38  % --bmc1_non_equiv_states               false
% 1.10/1.38  % --bmc1_deadlock                       false
% 1.10/1.38  % --bmc1_ucm                            false
% 1.10/1.38  % --bmc1_add_unsat_core                 none
% 1.10/1.38  % --bmc1_unsat_core_children            false
% 1.10/1.38  % --bmc1_unsat_core_extrapolate_axioms  false
% 1.10/1.38  % --bmc1_out_stat                       full
% 1.22/1.39  % --bmc1_ground_init                    false
% 1.22/1.39  % --bmc1_pre_inst_next_state            false
% 1.22/1.39  % --bmc1_pre_inst_state                 false
% 1.22/1.39  % --bmc1_pre_inst_reach_state           false
% 1.22/1.39  % --bmc1_out_unsat_core                 false
% 1.22/1.39  % --bmc1_aig_witness_out                false
% 1.22/1.39  % --bmc1_verbose                        false
% 1.22/1.39  % --bmc1_dump_clauses_tptp              false
% 1.22/1.39  % --bmc1_dump_unsat_core_tptp           false
% 1.22/1.39  % --bmc1_dump_file                      -
% 1.22/1.39  % --bmc1_ucm_expand_uc_limit            128
% 1.22/1.39  % --bmc1_ucm_n_expand_iterations        6
% 1.22/1.39  % --bmc1_ucm_extend_mode                1
% 1.22/1.39  % --bmc1_ucm_init_mode                  2
% 1.22/1.39  % --bmc1_ucm_cone_mode                  none
% 1.22/1.39  % --bmc1_ucm_reduced_relation_type      0
% 1.22/1.39  % --bmc1_ucm_relax_model                4
% 1.22/1.39  % --bmc1_ucm_full_tr_after_sat          true
% 1.22/1.39  % --bmc1_ucm_expand_neg_assumptions     false
% 1.22/1.39  % --bmc1_ucm_layered_model              none
% 1.22/1.39  % --bmc1_ucm_max_lemma_size             10
% 1.22/1.39  
% 1.22/1.39  % ------ AIG Options
% 1.22/1.39  
% 1.22/1.39  % --aig_mode                            false
% 1.22/1.39  
% 1.22/1.39  % ------ Instantiation Options
% 1.22/1.39  
% 1.22/1.39  % --instantiation_flag                  true
% 1.22/1.39  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 1.22/1.39  % --inst_solver_per_active              750
% 1.22/1.39  % --inst_solver_calls_frac              0.5
% 1.22/1.39  % --inst_passive_queue_type             priority_queues
% 1.22/1.39  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 1.22/1.39  % --inst_passive_queues_freq            [25;2]
% 1.22/1.39  % --inst_dismatching                    true
% 1.22/1.39  % --inst_eager_unprocessed_to_passive   true
% 1.22/1.39  % --inst_prop_sim_given                 true
% 1.22/1.39  % --inst_prop_sim_new                   false
% 1.22/1.39  % --inst_orphan_elimination             true
% 1.22/1.39  % --inst_learning_loop_flag             true
% 1.22/1.39  % --inst_learning_start                 3000
% 1.22/1.39  % --inst_learning_factor                2
% 1.22/1.39  % --inst_start_prop_sim_after_learn     3
% 1.22/1.39  % --inst_sel_renew                      solver
% 1.22/1.39  % --inst_lit_activity_flag              true
% 1.22/1.39  % --inst_out_proof                      true
% 1.22/1.39  
% 1.22/1.39  % ------ Resolution Options
% 1.22/1.39  
% 1.22/1.39  % --resolution_flag                     true
% 1.22/1.39  % --res_lit_sel                         kbo_max
% 1.22/1.39  % --res_to_prop_solver                  none
% 1.22/1.39  % --res_prop_simpl_new                  false
% 1.22/1.39  % --res_prop_simpl_given                false
% 1.22/1.39  % --res_passive_queue_type              priority_queues
% 1.22/1.39  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 1.22/1.39  % --res_passive_queues_freq             [15;5]
% 1.22/1.39  % --res_forward_subs                    full
% 1.22/1.39  % --res_backward_subs                   full
% 1.22/1.39  % --res_forward_subs_resolution         true
% 1.22/1.39  % --res_backward_subs_resolution        true
% 1.22/1.39  % --res_orphan_elimination              false
% 1.22/1.39  % --res_time_limit                      1000.
% 1.22/1.39  % --res_out_proof                       true
% 1.22/1.39  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_63ede3.s
% 1.22/1.39  % --modulo                              true
% 1.22/1.39  
% 1.22/1.39  % ------ Combination Options
% 1.22/1.39  
% 1.22/1.39  % --comb_res_mult                       1000
% 1.22/1.39  % --comb_inst_mult                      300
% 1.22/1.39  % ------ 
% 1.22/1.39  
% 1.22/1.39  
% 1.22/1.39  
% 1.22/1.39  % ------ Proving...
% 1.22/1.39  % 
% 1.22/1.39  
% 1.22/1.39  
% 1.22/1.39  %  Resolution empty clause
% 1.22/1.39  
% 1.22/1.39  % ------                             Statistics
% 1.22/1.39  
% 1.22/1.39  % ------ General
% 1.22/1.39  
% 1.22/1.39  % num_of_input_clauses:                 755
% 1.22/1.39  % num_of_input_neg_conjectures:         2
% 1.22/1.39  % num_of_splits:                        0
% 1.22/1.39  % num_of_split_atoms:                   0
% 1.22/1.39  % num_of_sem_filtered_clauses:          0
% 1.22/1.39  % num_of_subtypes:                      0
% 1.22/1.39  % monotx_restored_types:                0
% 1.22/1.39  % sat_num_of_epr_types:                 0
% 1.22/1.39  % sat_num_of_non_cyclic_types:          0
% 1.22/1.39  % sat_guarded_non_collapsed_types:      0
% 1.22/1.39  % is_epr:                               0
% 1.22/1.39  % is_horn:                              0
% 1.22/1.39  % has_eq:                               1
% 1.22/1.39  % num_pure_diseq_elim:                  0
% 1.22/1.39  % simp_replaced_by:                     0
% 1.22/1.39  % res_preprocessed:                     2
% 1.22/1.39  % prep_upred:                           0
% 1.22/1.39  % prep_unflattend:                      0
% 1.22/1.39  % pred_elim_cands:                      0
% 1.22/1.39  % pred_elim:                            0
% 1.22/1.39  % pred_elim_cl:                         0
% 1.22/1.39  % pred_elim_cycles:                     0
% 1.22/1.39  % forced_gc_time:                       0
% 1.22/1.39  % gc_basic_clause_elim:                 0
% 1.22/1.39  % parsing_time:                         0.089
% 1.22/1.39  % sem_filter_time:                      0.
% 1.22/1.39  % pred_elim_time:                       0.
% 1.22/1.39  % out_proof_time:                       0.
% 1.22/1.39  % monotx_time:                          0.
% 1.22/1.39  % subtype_inf_time:                     0.
% 1.22/1.39  % unif_index_cands_time:                0.
% 1.22/1.39  % unif_index_add_time:                  0.001
% 1.22/1.39  % total_time:                           0.772
% 1.22/1.39  % num_of_symbols:                       120
% 1.22/1.39  % num_of_terms:                         3803
% 1.22/1.39  
% 1.22/1.39  % ------ Propositional Solver
% 1.22/1.39  
% 1.22/1.39  % prop_solver_calls:                    1
% 1.22/1.39  % prop_fast_solver_calls:               3
% 1.22/1.39  % prop_num_of_clauses:                  903
% 1.22/1.39  % prop_preprocess_simplified:           2095
% 1.22/1.39  % prop_fo_subsumed:                     0
% 1.22/1.39  % prop_solver_time:                     0.
% 1.22/1.39  % prop_fast_solver_time:                0.
% 1.22/1.39  % prop_unsat_core_time:                 0.
% 1.22/1.39  
% 1.22/1.39  % ------ QBF 
% 1.22/1.39  
% 1.22/1.39  % qbf_q_res:                            0
% 1.22/1.39  % qbf_num_tautologies:                  0
% 1.22/1.39  % qbf_prep_cycles:                      0
% 1.22/1.39  
% 1.22/1.39  % ------ BMC1
% 1.22/1.39  
% 1.22/1.39  % bmc1_current_bound:                   -1
% 1.22/1.39  % bmc1_last_solved_bound:               -1
% 1.22/1.39  % bmc1_unsat_core_size:                 -1
% 1.22/1.39  % bmc1_unsat_core_parents_size:         -1
% 1.22/1.39  % bmc1_merge_next_fun:                  0
% 1.22/1.39  % bmc1_unsat_core_clauses_time:         0.
% 1.22/1.39  
% 1.22/1.39  % ------ Instantiation
% 1.22/1.39  
% 1.22/1.39  % inst_num_of_clauses:                  720
% 1.22/1.39  % inst_num_in_passive:                  0
% 1.22/1.39  % inst_num_in_active:                   0
% 1.22/1.39  % inst_num_in_unprocessed:              756
% 1.22/1.39  % inst_num_of_loops:                    0
% 1.22/1.39  % inst_num_of_learning_restarts:        0
% 1.22/1.39  % inst_num_moves_active_passive:        0
% 1.22/1.39  % inst_lit_activity:                    0
% 1.22/1.39  % inst_lit_activity_moves:              0
% 1.22/1.39  % inst_num_tautologies:                 0
% 1.22/1.39  % inst_num_prop_implied:                0
% 1.22/1.39  % inst_num_existing_simplified:         0
% 1.22/1.39  % inst_num_eq_res_simplified:           0
% 1.22/1.39  % inst_num_child_elim:                  0
% 1.22/1.39  % inst_num_of_dismatching_blockings:    0
% 1.22/1.39  % inst_num_of_non_proper_insts:         0
% 1.22/1.39  % inst_num_of_duplicates:               0
% 1.22/1.39  % inst_inst_num_from_inst_to_res:       0
% 1.22/1.39  % inst_dismatching_checking_time:       0.
% 1.22/1.39  
% 1.22/1.39  % ------ Resolution
% 1.22/1.39  
% 1.22/1.39  % res_num_of_clauses:                   830
% 1.22/1.39  % res_num_in_passive:                   47
% 1.22/1.39  % res_num_in_active:                    422
% 1.22/1.39  % res_num_of_loops:                     17
% 1.22/1.39  % res_forward_subset_subsumed:          338
% 1.22/1.39  % res_backward_subset_subsumed:         3
% 1.22/1.39  % res_forward_subsumed:                 5
% 1.22/1.39  % res_backward_subsumed:                0
% 1.22/1.39  % res_forward_subsumption_resolution:   3
% 1.22/1.39  % res_backward_subsumption_resolution:  2
% 1.22/1.39  % res_clause_to_clause_subsumption:     30
% 1.22/1.39  % res_orphan_elimination:               0
% 1.22/1.39  % res_tautology_del:                    1
% 1.22/1.39  % res_num_eq_res_simplified:            0
% 1.22/1.39  % res_num_sel_changes:                  0
% 1.22/1.39  % res_moves_from_active_to_pass:        0
% 1.22/1.39  
% 1.22/1.39  % Status Unsatisfiable
% 1.22/1.39  % SZS status Unsatisfiable
% 1.22/1.39  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------